2.905 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.039 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.042 * * [progress]: iteration 1 / 4 0.042 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.071 * * * [progress]: generating rewritten candidates 0.071 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.082 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.124 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.155 * * * [progress]: generating series expansions 0.155 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.155 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.156 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.156 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.156 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.156 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.156 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [backup-simplify]: Simplify im into im 0.157 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.157 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.157 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.157 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.157 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.157 * [taylor]: Taking taylor expansion of re in re 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 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 (+ 0 (pow im 2)) into (pow im 2) 0.158 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.158 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.158 * [taylor]: Taking taylor expansion of im in im 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [taylor]: Taking taylor expansion of 0 in im 0.158 * [backup-simplify]: Simplify 0 into 0 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.160 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.160 * [taylor]: Taking taylor expansion of 1/2 in im 0.160 * [backup-simplify]: Simplify 1/2 into 1/2 0.160 * [taylor]: Taking taylor expansion of im in im 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.162 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.163 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.163 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [backup-simplify]: Simplify re into re 0.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.165 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.166 * [taylor]: Taking taylor expansion of im in re 0.166 * [backup-simplify]: Simplify im into im 0.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.167 * [taylor]: Taking taylor expansion of re in re 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (sqrt 1) into 1 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.169 * [taylor]: Taking taylor expansion of im in re 0.169 * [backup-simplify]: Simplify im into im 0.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.169 * [taylor]: Taking taylor expansion of re in re 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (+ 0 1) into 1 0.170 * [backup-simplify]: Simplify (sqrt 1) into 1 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.172 * [taylor]: Taking taylor expansion of 1 in im 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [backup-simplify]: Simplify 1/2 into 1/2 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in im 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.179 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.179 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.179 * [taylor]: Taking taylor expansion of im in im 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.180 * [taylor]: Taking taylor expansion of re in im 0.180 * [backup-simplify]: Simplify re into re 0.180 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (sqrt 1) into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.182 * [taylor]: Taking taylor expansion of im in re 0.182 * [backup-simplify]: Simplify im into im 0.182 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.182 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (+ 0 1) into 1 0.183 * [backup-simplify]: Simplify (sqrt 1) into 1 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [backup-simplify]: Simplify im into im 0.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (sqrt 1) into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.188 * [taylor]: Taking taylor expansion of 1 in im 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.190 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.190 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of 1/2 in im 0.190 * [backup-simplify]: Simplify 1/2 into 1/2 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (+ (* im 0) (* 0 im)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.195 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.196 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.196 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.196 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [backup-simplify]: Simplify re into re 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.196 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.196 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.196 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [backup-simplify]: Simplify re into re 0.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.197 * [backup-simplify]: Simplify im into im 0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.197 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.197 * [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 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.197 * [backup-simplify]: Simplify im into im 0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.198 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.198 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ im 0) into im 0.198 * [taylor]: Taking taylor expansion of im in im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- 1) into -1 0.199 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.199 * [taylor]: Taking taylor expansion of -1 in im 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [backup-simplify]: Simplify -1 into -1 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.201 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.201 * [taylor]: Taking taylor expansion of 1/2 in im 0.201 * [backup-simplify]: Simplify 1/2 into 1/2 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [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 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.203 * [backup-simplify]: Simplify (- 0) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.205 * [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)) 0.205 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.206 * [taylor]: Taking taylor expansion of re in im 0.206 * [backup-simplify]: Simplify re into re 0.206 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (sqrt 1) into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.208 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [backup-simplify]: Simplify im into im 0.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 0 1) into 1 0.210 * [backup-simplify]: Simplify (sqrt 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [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) 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 0.213 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 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 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (- 1) into -1 0.217 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.220 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.221 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.221 * [taylor]: Taking taylor expansion of 1/2 in im 0.221 * [backup-simplify]: Simplify 1/2 into 1/2 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.221 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- 0) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in im 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 0.232 * [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))))) 0.232 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [backup-simplify]: Simplify re into re 0.232 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.233 * [taylor]: Taking taylor expansion of re in im 0.233 * [backup-simplify]: Simplify re into re 0.233 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (sqrt 1) into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.235 * [taylor]: Taking taylor expansion of re in re 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.235 * [taylor]: Taking taylor expansion of im in re 0.235 * [backup-simplify]: Simplify im into im 0.235 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.235 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.235 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [backup-simplify]: Simplify (+ 0 1) into 1 0.236 * [backup-simplify]: Simplify (sqrt 1) into 1 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.239 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.239 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.239 * [taylor]: Taking taylor expansion of re in re 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (+ 0 1) into 1 0.240 * [backup-simplify]: Simplify (sqrt 1) into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [backup-simplify]: Simplify (+ 1 1) into 2 0.242 * [taylor]: Taking taylor expansion of 2 in im 0.242 * [backup-simplify]: Simplify 2 into 2 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 2 into 2 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.246 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.246 * [taylor]: Taking taylor expansion of 1/2 in im 0.246 * [backup-simplify]: Simplify 1/2 into 1/2 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.246 * [taylor]: Taking taylor expansion of im in im 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 1) into 1 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [taylor]: Taking taylor expansion of 0 in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.252 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.253 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.253 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 0.253 * [backup-simplify]: Simplify 2.0 into 2.0 0.253 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.254 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.254 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.254 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (- re) into (- re) 0.254 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.255 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.256 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.256 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.257 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.258 * [taylor]: Taking taylor expansion of 2.0 in re 0.258 * [backup-simplify]: Simplify 2.0 into 2.0 0.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.259 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.259 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [backup-simplify]: Simplify im into im 0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.259 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.259 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ im 0) into im 0.260 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.260 * [backup-simplify]: Simplify (- 1) into -1 0.261 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.261 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.261 * [taylor]: Taking taylor expansion of 2.0 in re 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.261 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.262 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.262 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [backup-simplify]: Simplify im into im 0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ im 0) into im 0.263 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.263 * [backup-simplify]: Simplify (- 1) into -1 0.263 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.263 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.263 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [backup-simplify]: Simplify 2.0 into 2.0 0.264 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.264 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (sqrt 0) into 0 0.265 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.267 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.268 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.268 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.268 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.268 * [taylor]: Taking taylor expansion of 1/2 in im 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.268 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.269 * [taylor]: Taking taylor expansion of im in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (sqrt 0) into 0 0.270 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.274 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.276 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.276 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.280 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.281 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.283 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.285 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.286 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.289 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.289 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.289 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.289 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.289 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.289 * [taylor]: Taking taylor expansion of 2.0 in im 0.289 * [backup-simplify]: Simplify 2.0 into 2.0 0.289 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.290 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.291 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.291 * [taylor]: Taking taylor expansion of re in im 0.291 * [backup-simplify]: Simplify re into re 0.291 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.291 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (sqrt 1) into 1 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.293 * [taylor]: Taking taylor expansion of re in im 0.293 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (sqrt 0) into 0 0.294 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.294 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.294 * [taylor]: Taking taylor expansion of 2.0 in re 0.294 * [backup-simplify]: Simplify 2.0 into 2.0 0.294 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.295 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.295 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.295 * [taylor]: Taking taylor expansion of im in re 0.295 * [backup-simplify]: Simplify im into im 0.295 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.295 * [taylor]: Taking taylor expansion of re in re 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ 0 1) into 1 0.296 * [backup-simplify]: Simplify (sqrt 1) into 1 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.298 * [taylor]: Taking taylor expansion of re in re 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (- 1) into -1 0.298 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.301 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (- 0) into 0 0.302 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.302 * [backup-simplify]: Simplify (sqrt 0) into 0 0.303 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.303 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.303 * [taylor]: Taking taylor expansion of 2.0 in re 0.303 * [backup-simplify]: Simplify 2.0 into 2.0 0.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.303 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [backup-simplify]: Simplify im into im 0.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify (+ 0 1) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.311 * [backup-simplify]: Simplify (sqrt 0) into 0 0.311 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.312 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in im 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.312 * [taylor]: Taking taylor expansion of +nan.0 in im 0.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.312 * [taylor]: Taking taylor expansion of 2.0 in im 0.312 * [backup-simplify]: Simplify 2.0 into 2.0 0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.324 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.325 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.325 * [taylor]: Taking taylor expansion of im in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.333 * [backup-simplify]: Simplify (- 0) into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.340 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.342 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.342 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.342 * [taylor]: Taking taylor expansion of +nan.0 in im 0.342 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.342 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.342 * [taylor]: Taking taylor expansion of 2.0 in im 0.342 * [backup-simplify]: Simplify 2.0 into 2.0 0.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.343 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.344 * [taylor]: Taking taylor expansion of +nan.0 in im 0.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.344 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.344 * [backup-simplify]: Simplify 2.0 into 2.0 0.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.345 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (- 0) into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.370 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.370 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.370 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.370 * [taylor]: Taking taylor expansion of 2.0 in im 0.370 * [backup-simplify]: Simplify 2.0 into 2.0 0.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.371 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.371 * [taylor]: Taking taylor expansion of re in im 0.371 * [backup-simplify]: Simplify re into re 0.371 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.371 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.371 * [taylor]: Taking taylor expansion of im in im 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.371 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.371 * [taylor]: Taking taylor expansion of re in im 0.371 * [backup-simplify]: Simplify re into re 0.371 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.371 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.372 * [backup-simplify]: Simplify (+ 1 0) into 1 0.372 * [backup-simplify]: Simplify (sqrt 1) into 1 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.374 * [backup-simplify]: Simplify (sqrt 0) into 0 0.375 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.375 * [taylor]: Taking taylor expansion of 2.0 in re 0.375 * [backup-simplify]: Simplify 2.0 into 2.0 0.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.376 * [taylor]: Taking taylor expansion of re in re 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.376 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.376 * [taylor]: Taking taylor expansion of im in re 0.376 * [backup-simplify]: Simplify im into im 0.376 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.376 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.376 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.376 * [taylor]: Taking taylor expansion of re in re 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.377 * [backup-simplify]: Simplify (+ 0 1) into 1 0.377 * [backup-simplify]: Simplify (sqrt 1) into 1 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.379 * [backup-simplify]: Simplify (+ 1 1) into 2 0.379 * [backup-simplify]: Simplify (sqrt 0) into 0 0.380 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.380 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.380 * [taylor]: Taking taylor expansion of 2.0 in re 0.380 * [backup-simplify]: Simplify 2.0 into 2.0 0.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.381 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.381 * [taylor]: Taking taylor expansion of re in re 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (/ 1 1) into 1 0.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.381 * [taylor]: Taking taylor expansion of im in re 0.381 * [backup-simplify]: Simplify im into im 0.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.382 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.382 * [taylor]: Taking taylor expansion of re in re 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 1 into 1 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.382 * [backup-simplify]: Simplify (/ 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ 0 1) into 1 0.383 * [backup-simplify]: Simplify (sqrt 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.385 * [backup-simplify]: Simplify (+ 1 1) into 2 0.385 * [backup-simplify]: Simplify (sqrt 0) into 0 0.387 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.387 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.387 * [taylor]: Taking taylor expansion of 0 in im 0.387 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.389 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.389 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.389 * [taylor]: Taking taylor expansion of +nan.0 in im 0.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.389 * [taylor]: Taking taylor expansion of 2.0 in im 0.389 * [backup-simplify]: Simplify 2.0 into 2.0 0.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.394 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.394 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.395 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.395 * [taylor]: Taking taylor expansion of +nan.0 in im 0.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.395 * [taylor]: Taking taylor expansion of 2.0 in im 0.395 * [backup-simplify]: Simplify 2.0 into 2.0 0.395 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.396 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.397 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.398 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.401 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.401 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.403 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.404 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.404 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.404 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.404 * [taylor]: Taking taylor expansion of +nan.0 in im 0.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.404 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.404 * [taylor]: Taking taylor expansion of 2.0 in im 0.404 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.409 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.409 * [taylor]: Taking taylor expansion of im in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 1 into 1 0.409 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.410 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.410 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.410 * [taylor]: Taking taylor expansion of +nan.0 in im 0.410 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.410 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.410 * [taylor]: Taking taylor expansion of 2.0 in im 0.410 * [backup-simplify]: Simplify 2.0 into 2.0 0.410 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (- 0) into 0 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.415 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.416 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.416 * [backup-simplify]: Simplify (- 0) into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.421 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.421 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.422 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.422 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.422 * [taylor]: Taking taylor expansion of +nan.0 in im 0.422 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.422 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.422 * [taylor]: Taking taylor expansion of 2.0 in im 0.422 * [backup-simplify]: Simplify 2.0 into 2.0 0.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.422 * [taylor]: Taking taylor expansion of im in im 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.423 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.423 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.423 * [taylor]: Taking taylor expansion of +nan.0 in im 0.423 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.423 * [taylor]: Taking taylor expansion of 2.0 in im 0.423 * [backup-simplify]: Simplify 2.0 into 2.0 0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.429 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.430 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.431 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.432 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.433 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.436 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.437 * * * [progress]: simplifying candidates 0.437 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.438 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (log (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) (* h0 h1)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0.505 * * * [progress]: adding candidates to table 0.660 * * [progress]: iteration 2 / 4 0.660 * * * [progress]: picking best candidate 0.679 * * * * [pick]: Picked # 0.679 * * * [progress]: localizing error 0.694 * * * [progress]: generating rewritten candidates 0.695 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 0.703 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.713 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 0.822 * * * [progress]: generating series expansions 0.822 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 0.822 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.822 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.822 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.822 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.822 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.822 * [taylor]: Taking taylor expansion of re in im 0.822 * [backup-simplify]: Simplify re into re 0.823 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.823 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.823 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.823 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.823 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.823 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.823 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.824 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.824 * [backup-simplify]: Simplify im into im 0.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.824 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.824 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.824 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.824 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.824 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.824 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.824 * [backup-simplify]: Simplify im into im 0.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.825 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.825 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.825 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.825 * [taylor]: Taking taylor expansion of im in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [taylor]: Taking taylor expansion of 0 in im 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* 1 1) into 1 0.826 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.827 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.827 * [taylor]: Taking taylor expansion of 1/2 in im 0.827 * [backup-simplify]: Simplify 1/2 into 1/2 0.827 * [taylor]: Taking taylor expansion of im in im 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.828 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.829 * [taylor]: Taking taylor expansion of 0 in im 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.829 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.830 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.830 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* 1 1) into 1 0.830 * [backup-simplify]: Simplify (/ 1 1) into 1 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.830 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [backup-simplify]: Simplify re into re 0.830 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.830 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.831 * [backup-simplify]: Simplify (+ 1 0) into 1 0.831 * [backup-simplify]: Simplify (sqrt 1) into 1 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.832 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.832 * [taylor]: Taking taylor expansion of im in re 0.832 * [backup-simplify]: Simplify im into im 0.832 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* 1 1) into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (+ 0 1) into 1 0.834 * [backup-simplify]: Simplify (sqrt 1) into 1 0.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.835 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.835 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.835 * [taylor]: Taking taylor expansion of im in re 0.835 * [backup-simplify]: Simplify im into im 0.835 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.835 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.835 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.835 * [taylor]: Taking taylor expansion of re in re 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (* 1 1) into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (+ 0 1) into 1 0.836 * [backup-simplify]: Simplify (sqrt 1) into 1 0.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.838 * [taylor]: Taking taylor expansion of 1 in im 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.840 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.840 * [taylor]: Taking taylor expansion of 1/2 in im 0.840 * [backup-simplify]: Simplify 1/2 into 1/2 0.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in im 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.846 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.846 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.846 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.846 * [taylor]: Taking taylor expansion of im in im 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (* 1 1) into 1 0.846 * [backup-simplify]: Simplify (/ 1 1) into 1 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.846 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.846 * [backup-simplify]: Simplify re into re 0.846 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.846 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.847 * [backup-simplify]: Simplify (+ 1 0) into 1 0.847 * [backup-simplify]: Simplify (sqrt 1) into 1 0.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.849 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.849 * [taylor]: Taking taylor expansion of im in re 0.849 * [backup-simplify]: Simplify im into im 0.849 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.849 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify (+ 0 1) into 1 0.850 * [backup-simplify]: Simplify (sqrt 1) into 1 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.851 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.851 * [taylor]: Taking taylor expansion of im in re 0.851 * [backup-simplify]: Simplify im into im 0.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (* 1 1) into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [backup-simplify]: Simplify (+ 0 1) into 1 0.853 * [backup-simplify]: Simplify (sqrt 1) into 1 0.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.854 * [taylor]: Taking taylor expansion of 1 in im 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [taylor]: Taking taylor expansion of 0 in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.856 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.856 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.856 * [taylor]: Taking taylor expansion of 1/2 in im 0.856 * [backup-simplify]: Simplify 1/2 into 1/2 0.856 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.856 * [taylor]: Taking taylor expansion of im in im 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.857 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.861 * [taylor]: Taking taylor expansion of 0 in im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.862 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 0.863 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.863 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.863 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.863 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.863 * [taylor]: Taking taylor expansion of re in im 0.863 * [backup-simplify]: Simplify re into re 0.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.863 * [taylor]: Taking taylor expansion of im in im 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.863 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.863 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.863 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.863 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.863 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.863 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.863 * [taylor]: Taking taylor expansion of re in re 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.864 * [taylor]: Taking taylor expansion of im in re 0.864 * [backup-simplify]: Simplify im into im 0.864 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.864 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.864 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.864 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.864 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.864 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.864 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.864 * [taylor]: Taking taylor expansion of re in re 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.864 * [taylor]: Taking taylor expansion of im in re 0.864 * [backup-simplify]: Simplify im into im 0.864 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.864 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.865 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.865 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.865 * [backup-simplify]: Simplify (+ 0 0) into 0 0.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.865 * [taylor]: Taking taylor expansion of im in im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.866 * [backup-simplify]: Simplify (+ 1 0) into 1 0.867 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.867 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.867 * [taylor]: Taking taylor expansion of 1/2 in im 0.867 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.868 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.869 * [taylor]: Taking taylor expansion of 0 in im 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.870 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.870 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.870 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.870 * [taylor]: Taking taylor expansion of im in im 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (* 1 1) into 1 0.870 * [backup-simplify]: Simplify (/ 1 1) into 1 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.870 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.870 * [taylor]: Taking taylor expansion of re in im 0.870 * [backup-simplify]: Simplify re into re 0.870 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.870 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.871 * [backup-simplify]: Simplify (+ 1 0) into 1 0.871 * [backup-simplify]: Simplify (sqrt 1) into 1 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.872 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.872 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.872 * [taylor]: Taking taylor expansion of im in re 0.872 * [backup-simplify]: Simplify im into im 0.872 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.873 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.873 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.873 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.873 * [taylor]: Taking taylor expansion of re in re 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (* 1 1) into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [backup-simplify]: Simplify (+ 0 1) into 1 0.874 * [backup-simplify]: Simplify (sqrt 1) into 1 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.875 * [taylor]: Taking taylor expansion of im in re 0.875 * [backup-simplify]: Simplify im into im 0.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.875 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.875 * [taylor]: Taking taylor expansion of re in re 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (* 1 1) into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [backup-simplify]: Simplify (+ 0 1) into 1 0.876 * [backup-simplify]: Simplify (sqrt 1) into 1 0.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.878 * [taylor]: Taking taylor expansion of 1 in im 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [taylor]: Taking taylor expansion of 0 in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.880 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.880 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.880 * [taylor]: Taking taylor expansion of 1/2 in im 0.880 * [backup-simplify]: Simplify 1/2 into 1/2 0.880 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.880 * [taylor]: Taking taylor expansion of im in im 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.881 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ 0 0) into 0 0.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.884 * [taylor]: Taking taylor expansion of 0 in im 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.886 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.886 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.886 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.886 * [taylor]: Taking taylor expansion of im in im 0.886 * [backup-simplify]: Simplify 0 into 0 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.886 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.886 * [taylor]: Taking taylor expansion of re in im 0.886 * [backup-simplify]: Simplify re into re 0.886 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.886 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.887 * [backup-simplify]: Simplify (+ 1 0) into 1 0.887 * [backup-simplify]: Simplify (sqrt 1) into 1 0.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.888 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.888 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.888 * [taylor]: Taking taylor expansion of im in re 0.888 * [backup-simplify]: Simplify im into im 0.888 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.889 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.889 * [taylor]: Taking taylor expansion of re in re 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [backup-simplify]: Simplify (+ 0 1) into 1 0.890 * [backup-simplify]: Simplify (sqrt 1) into 1 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [backup-simplify]: Simplify im into im 0.891 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.891 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.891 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.891 * [taylor]: Taking taylor expansion of re in re 0.891 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [backup-simplify]: Simplify (+ 0 1) into 1 0.892 * [backup-simplify]: Simplify (sqrt 1) into 1 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.894 * [taylor]: Taking taylor expansion of 1 in im 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [taylor]: Taking taylor expansion of 0 in im 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.896 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.896 * [taylor]: Taking taylor expansion of 1/2 in im 0.896 * [backup-simplify]: Simplify 1/2 into 1/2 0.896 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.896 * [taylor]: Taking taylor expansion of im in im 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.899 * [taylor]: Taking taylor expansion of 0 in im 0.899 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.906 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.906 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.906 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.906 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.906 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.906 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.906 * [taylor]: Taking taylor expansion of re in im 0.906 * [backup-simplify]: Simplify re into re 0.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.906 * [taylor]: Taking taylor expansion of im in im 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.907 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.907 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.907 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.907 * [taylor]: Taking taylor expansion of re in im 0.907 * [backup-simplify]: Simplify re into re 0.907 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.907 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.907 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.907 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.907 * [taylor]: Taking taylor expansion of re in re 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.907 * [taylor]: Taking taylor expansion of im in re 0.907 * [backup-simplify]: Simplify im into im 0.907 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.907 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.908 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.908 * [taylor]: Taking taylor expansion of re in re 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.908 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.908 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.908 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.908 * [taylor]: Taking taylor expansion of re in re 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.908 * [taylor]: Taking taylor expansion of im in re 0.908 * [backup-simplify]: Simplify im into im 0.908 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.908 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.908 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.909 * [taylor]: Taking taylor expansion of re in re 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (- 0) into 0 0.909 * [backup-simplify]: Simplify (+ im 0) into im 0.909 * [taylor]: Taking taylor expansion of im in im 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (- 1) into -1 0.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.910 * [taylor]: Taking taylor expansion of -1 in im 0.910 * [backup-simplify]: Simplify -1 into -1 0.910 * [backup-simplify]: Simplify -1 into -1 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.910 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.911 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.911 * [taylor]: Taking taylor expansion of 1/2 in im 0.911 * [backup-simplify]: Simplify 1/2 into 1/2 0.911 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.911 * [taylor]: Taking taylor expansion of im in im 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.913 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.914 * [backup-simplify]: Simplify (- 0) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.914 * [taylor]: Taking taylor expansion of 0 in im 0.914 * [backup-simplify]: Simplify 0 into 0 0.914 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.916 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.916 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.916 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.916 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.916 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.916 * [taylor]: Taking taylor expansion of im in im 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 1 into 1 0.916 * [backup-simplify]: Simplify (* 1 1) into 1 0.917 * [backup-simplify]: Simplify (/ 1 1) into 1 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.917 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.917 * [taylor]: Taking taylor expansion of re in im 0.917 * [backup-simplify]: Simplify re into re 0.917 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.917 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.917 * [backup-simplify]: Simplify (+ 1 0) into 1 0.917 * [backup-simplify]: Simplify (sqrt 1) into 1 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.919 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.919 * [taylor]: Taking taylor expansion of re in im 0.919 * [backup-simplify]: Simplify re into re 0.919 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.919 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.919 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.919 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.919 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.919 * [taylor]: Taking taylor expansion of im in re 0.919 * [backup-simplify]: Simplify im into im 0.919 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.919 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.919 * [taylor]: Taking taylor expansion of re in re 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [backup-simplify]: Simplify (+ 0 1) into 1 0.920 * [backup-simplify]: Simplify (sqrt 1) into 1 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.922 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.922 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.922 * [taylor]: Taking taylor expansion of im in re 0.922 * [backup-simplify]: Simplify im into im 0.922 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.922 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.922 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.922 * [taylor]: Taking taylor expansion of re in re 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.923 * [backup-simplify]: Simplify (/ 1 1) into 1 0.923 * [backup-simplify]: Simplify (+ 0 1) into 1 0.923 * [backup-simplify]: Simplify (sqrt 1) into 1 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.925 * [taylor]: Taking taylor expansion of re in re 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [backup-simplify]: Simplify (- 1) into -1 0.925 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.925 * [taylor]: Taking taylor expansion of 0 in im 0.925 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in im 0.926 * [backup-simplify]: Simplify 0 into 0 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.928 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.929 * [taylor]: Taking taylor expansion of 1/2 in im 0.929 * [backup-simplify]: Simplify 1/2 into 1/2 0.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ 1 1) into 1 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [backup-simplify]: Simplify (+ 0 0) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.934 * [backup-simplify]: Simplify (+ 0 0) into 0 0.934 * [taylor]: Taking taylor expansion of 0 in im 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.936 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.936 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.936 * [taylor]: Taking taylor expansion of re in im 0.936 * [backup-simplify]: Simplify re into re 0.936 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.936 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.936 * [taylor]: Taking taylor expansion of im in im 0.936 * [backup-simplify]: Simplify 0 into 0 0.936 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.937 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.937 * [taylor]: Taking taylor expansion of re in im 0.937 * [backup-simplify]: Simplify re into re 0.937 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.937 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.937 * [backup-simplify]: Simplify (+ 1 0) into 1 0.937 * [backup-simplify]: Simplify (sqrt 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.939 * [taylor]: Taking taylor expansion of re in re 0.939 * [backup-simplify]: Simplify 0 into 0 0.939 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.939 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.939 * [taylor]: Taking taylor expansion of im in re 0.939 * [backup-simplify]: Simplify im into im 0.939 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.939 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.939 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.940 * [taylor]: Taking taylor expansion of re in re 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.940 * [backup-simplify]: Simplify (+ 0 1) into 1 0.940 * [backup-simplify]: Simplify (sqrt 1) into 1 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.942 * [taylor]: Taking taylor expansion of re in re 0.942 * [backup-simplify]: Simplify 0 into 0 0.942 * [backup-simplify]: Simplify 1 into 1 0.942 * [backup-simplify]: Simplify (/ 1 1) into 1 0.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.942 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.942 * [taylor]: Taking taylor expansion of im in re 0.942 * [backup-simplify]: Simplify im into im 0.942 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.943 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.943 * [taylor]: Taking taylor expansion of re in re 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (* 1 1) into 1 0.943 * [backup-simplify]: Simplify (/ 1 1) into 1 0.943 * [backup-simplify]: Simplify (+ 0 1) into 1 0.944 * [backup-simplify]: Simplify (sqrt 1) into 1 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ 0 0) into 0 0.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.945 * [backup-simplify]: Simplify (+ 1 1) into 2 0.945 * [taylor]: Taking taylor expansion of 2 in im 0.945 * [backup-simplify]: Simplify 2 into 2 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ 0 0) into 0 0.946 * [taylor]: Taking taylor expansion of 0 in im 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify 2 into 2 0.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.948 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.949 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.949 * [taylor]: Taking taylor expansion of 1/2 in im 0.949 * [backup-simplify]: Simplify 1/2 into 1/2 0.949 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.949 * [taylor]: Taking taylor expansion of im in im 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (* 1 1) into 1 0.949 * [backup-simplify]: Simplify (/ 1 1) into 1 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.951 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [taylor]: Taking taylor expansion of 0 in im 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.955 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 0.955 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.955 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.955 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.955 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.955 * [taylor]: Taking taylor expansion of re in im 0.955 * [backup-simplify]: Simplify re into re 0.955 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.955 * [taylor]: Taking taylor expansion of im in im 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify 1 into 1 0.955 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.955 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.955 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.955 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.956 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.956 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.956 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.956 * [taylor]: Taking taylor expansion of re in re 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify 1 into 1 0.956 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.956 * [taylor]: Taking taylor expansion of im in re 0.956 * [backup-simplify]: Simplify im into im 0.956 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.956 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.956 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.956 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.957 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.957 * [taylor]: Taking taylor expansion of re in re 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.957 * [taylor]: Taking taylor expansion of im in re 0.957 * [backup-simplify]: Simplify im into im 0.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.957 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.957 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.957 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.957 * [taylor]: Taking taylor expansion of im in im 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [taylor]: Taking taylor expansion of 0 in im 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (* 1 1) into 1 0.958 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.958 * [backup-simplify]: Simplify (+ 1 0) into 1 0.959 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.959 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.959 * [taylor]: Taking taylor expansion of 1/2 in im 0.959 * [backup-simplify]: Simplify 1/2 into 1/2 0.959 * [taylor]: Taking taylor expansion of im in im 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.961 * [backup-simplify]: Simplify (+ 0 0) into 0 0.961 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.961 * [taylor]: Taking taylor expansion of 0 in im 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.962 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.962 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.962 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.962 * [taylor]: Taking taylor expansion of im in im 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.963 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.963 * [taylor]: Taking taylor expansion of re in im 0.963 * [backup-simplify]: Simplify re into re 0.963 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.963 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.963 * [backup-simplify]: Simplify (+ 1 0) into 1 0.963 * [backup-simplify]: Simplify (sqrt 1) into 1 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.964 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.965 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.965 * [taylor]: Taking taylor expansion of im in re 0.965 * [backup-simplify]: Simplify im into im 0.965 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.965 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.965 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.965 * [taylor]: Taking taylor expansion of re in re 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [backup-simplify]: Simplify (+ 0 1) into 1 0.966 * [backup-simplify]: Simplify (sqrt 1) into 1 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.968 * [taylor]: Taking taylor expansion of im in re 0.968 * [backup-simplify]: Simplify im into im 0.968 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.968 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.968 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.968 * [taylor]: Taking taylor expansion of re in re 0.968 * [backup-simplify]: Simplify 0 into 0 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify (* 1 1) into 1 0.968 * [backup-simplify]: Simplify (/ 1 1) into 1 0.969 * [backup-simplify]: Simplify (+ 0 1) into 1 0.969 * [backup-simplify]: Simplify (sqrt 1) into 1 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.970 * [taylor]: Taking taylor expansion of 1 in im 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [taylor]: Taking taylor expansion of 0 in im 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.972 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.972 * [taylor]: Taking taylor expansion of 1/2 in im 0.972 * [backup-simplify]: Simplify 1/2 into 1/2 0.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.972 * [taylor]: Taking taylor expansion of im in im 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.973 * [backup-simplify]: Simplify (* 1 1) into 1 0.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.976 * [taylor]: Taking taylor expansion of 0 in im 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.977 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.977 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.978 * [backup-simplify]: Simplify (/ 1 1) into 1 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.978 * [taylor]: Taking taylor expansion of re in im 0.978 * [backup-simplify]: Simplify re into re 0.978 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.979 * [backup-simplify]: Simplify (+ 1 0) into 1 0.979 * [backup-simplify]: Simplify (sqrt 1) into 1 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.980 * [taylor]: Taking taylor expansion of im in re 0.980 * [backup-simplify]: Simplify im into im 0.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.980 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.980 * [taylor]: Taking taylor expansion of re in re 0.981 * [backup-simplify]: Simplify 0 into 0 0.981 * [backup-simplify]: Simplify 1 into 1 0.981 * [backup-simplify]: Simplify (* 1 1) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (+ 0 1) into 1 0.982 * [backup-simplify]: Simplify (sqrt 1) into 1 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.983 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.983 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.983 * [taylor]: Taking taylor expansion of im in re 0.983 * [backup-simplify]: Simplify im into im 0.983 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.983 * [taylor]: Taking taylor expansion of re in re 0.983 * [backup-simplify]: Simplify 0 into 0 0.983 * [backup-simplify]: Simplify 1 into 1 0.983 * [backup-simplify]: Simplify (* 1 1) into 1 0.984 * [backup-simplify]: Simplify (/ 1 1) into 1 0.984 * [backup-simplify]: Simplify (+ 0 1) into 1 0.984 * [backup-simplify]: Simplify (sqrt 1) into 1 0.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.985 * [backup-simplify]: Simplify (+ 0 0) into 0 0.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.986 * [taylor]: Taking taylor expansion of 1 in im 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of 0 in im 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.988 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.988 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.988 * [taylor]: Taking taylor expansion of 1/2 in im 0.988 * [backup-simplify]: Simplify 1/2 into 1/2 0.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.988 * [taylor]: Taking taylor expansion of im in im 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.992 * [taylor]: Taking taylor expansion of 0 in im 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.997 * * * [progress]: simplifying candidates 0.999 * [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 (+ (* 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(sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 1.000 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 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(sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) h0 h1 (* -1 h1) 1.039 * * * [progress]: adding candidates to table 1.333 * * [progress]: iteration 3 / 4 1.333 * * * [progress]: picking best candidate 1.348 * * * * [pick]: Picked # 1.348 * * * [progress]: localizing error 1.377 * * * [progress]: generating rewritten candidates 1.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 1.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 1.393 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.444 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 1.461 * * * [progress]: generating series expansions 1.461 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 1.462 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.462 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.462 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.462 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.462 * [taylor]: Taking taylor expansion of re in im 1.462 * [backup-simplify]: Simplify re into re 1.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.462 * [taylor]: Taking taylor expansion of im in im 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.462 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.462 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.462 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.463 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.463 * [taylor]: Taking taylor expansion of re in re 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.463 * [taylor]: Taking taylor expansion of im in re 1.463 * [backup-simplify]: Simplify im into im 1.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.463 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.463 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.463 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.463 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.464 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.464 * [taylor]: Taking taylor expansion of re in re 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.464 * [taylor]: Taking taylor expansion of im in re 1.464 * [backup-simplify]: Simplify im into im 1.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.464 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.464 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.464 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.464 * [backup-simplify]: Simplify (+ 0 0) into 0 1.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [taylor]: Taking taylor expansion of 0 in im 1.464 * [backup-simplify]: Simplify 0 into 0 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.465 * [backup-simplify]: Simplify (+ 1 0) into 1 1.466 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.466 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.466 * [taylor]: Taking taylor expansion of 1/2 in im 1.466 * [backup-simplify]: Simplify 1/2 into 1/2 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.468 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) 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 0 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 (* 1 (* im 1)) into im 1.469 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.469 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.469 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.469 * [taylor]: Taking taylor expansion of im in im 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.470 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.470 * [taylor]: Taking taylor expansion of re in im 1.470 * [backup-simplify]: Simplify re into re 1.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.470 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.470 * [backup-simplify]: Simplify (+ 1 0) into 1 1.470 * [backup-simplify]: Simplify (sqrt 1) into 1 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.473 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.473 * [taylor]: Taking taylor expansion of im in re 1.473 * [backup-simplify]: Simplify im into im 1.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.473 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.473 * [taylor]: Taking taylor expansion of re in re 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (* 1 1) into 1 1.474 * [backup-simplify]: Simplify (/ 1 1) into 1 1.474 * [backup-simplify]: Simplify (+ 0 1) into 1 1.475 * [backup-simplify]: Simplify (sqrt 1) into 1 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.476 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.476 * [taylor]: Taking taylor expansion of im in re 1.476 * [backup-simplify]: Simplify im into im 1.476 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.477 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.477 * [taylor]: Taking taylor expansion of re in re 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ 1 1) into 1 1.477 * [backup-simplify]: Simplify (+ 0 1) into 1 1.478 * [backup-simplify]: Simplify (sqrt 1) into 1 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.479 * [taylor]: Taking taylor expansion of 1 in im 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [taylor]: Taking taylor expansion of 0 in im 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.481 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.481 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.481 * [taylor]: Taking taylor expansion of 1/2 in im 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.481 * [taylor]: Taking taylor expansion of im in im 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 1 into 1 1.482 * [backup-simplify]: Simplify (* 1 1) into 1 1.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.486 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.486 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.487 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.487 * [taylor]: Taking taylor expansion of im in im 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [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)) 1.488 * [backup-simplify]: Simplify (+ 1 0) into 1 1.488 * [backup-simplify]: Simplify (sqrt 1) into 1 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.489 * [taylor]: Taking taylor expansion of im in re 1.489 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.490 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.490 * [taylor]: Taking taylor expansion of re in re 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (+ 0 1) into 1 1.491 * [backup-simplify]: Simplify (sqrt 1) into 1 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.492 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.492 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.492 * [taylor]: Taking taylor expansion of im in re 1.492 * [backup-simplify]: Simplify im into im 1.492 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.492 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.492 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.492 * [taylor]: Taking taylor expansion of re in re 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [backup-simplify]: Simplify (+ 0 1) into 1 1.493 * [backup-simplify]: Simplify (sqrt 1) into 1 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.495 * [taylor]: Taking taylor expansion of 1 in im 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [taylor]: Taking taylor expansion of 0 in im 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.497 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.497 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.497 * [taylor]: Taking taylor expansion of 1/2 in im 1.497 * [backup-simplify]: Simplify 1/2 into 1/2 1.497 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.497 * [taylor]: Taking taylor expansion of im in im 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ 0 0) into 0 1.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.500 * [taylor]: Taking taylor expansion of 0 in im 1.500 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 1.502 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.502 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.502 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.502 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.502 * [taylor]: Taking taylor expansion of re in im 1.502 * [backup-simplify]: Simplify re into re 1.502 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.502 * [taylor]: Taking taylor expansion of im in im 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.502 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.502 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.502 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.503 * [taylor]: Taking taylor expansion of im in re 1.503 * [backup-simplify]: Simplify im into im 1.503 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.503 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.503 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.503 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.503 * [taylor]: Taking taylor expansion of re in re 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.503 * [taylor]: Taking taylor expansion of im in re 1.503 * [backup-simplify]: Simplify im into im 1.503 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.504 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.504 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.504 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.504 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.504 * [taylor]: Taking taylor expansion of im in im 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [taylor]: Taking taylor expansion of 0 in im 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.505 * [backup-simplify]: Simplify (+ 1 0) into 1 1.505 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.506 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.506 * [taylor]: Taking taylor expansion of 1/2 in im 1.506 * [backup-simplify]: Simplify 1/2 into 1/2 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.507 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.508 * [taylor]: Taking taylor expansion of 0 in im 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 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 (* 1 (* im 1)) into im 1.508 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.509 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.509 * [taylor]: Taking taylor expansion of im in im 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify 1 into 1 1.509 * [backup-simplify]: Simplify (* 1 1) into 1 1.509 * [backup-simplify]: Simplify (/ 1 1) into 1 1.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.509 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.509 * [taylor]: Taking taylor expansion of re in im 1.509 * [backup-simplify]: Simplify re into re 1.509 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.510 * [backup-simplify]: Simplify (+ 1 0) into 1 1.510 * [backup-simplify]: Simplify (sqrt 1) into 1 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify (+ 0 0) into 0 1.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.511 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.511 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.511 * [taylor]: Taking taylor expansion of im in re 1.511 * [backup-simplify]: Simplify im into im 1.511 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.512 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.512 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* 1 1) into 1 1.512 * [backup-simplify]: Simplify (/ 1 1) into 1 1.512 * [backup-simplify]: Simplify (+ 0 1) into 1 1.513 * [backup-simplify]: Simplify (sqrt 1) into 1 1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.514 * [backup-simplify]: Simplify (+ 0 0) into 0 1.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.514 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.514 * [taylor]: Taking taylor expansion of im in re 1.514 * [backup-simplify]: Simplify im into im 1.514 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.514 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.515 * [taylor]: Taking taylor expansion of re in re 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (* 1 1) into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [backup-simplify]: Simplify (+ 0 1) into 1 1.516 * [backup-simplify]: Simplify (sqrt 1) into 1 1.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.522 * [taylor]: Taking taylor expansion of 1 in im 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [taylor]: Taking taylor expansion of 0 in im 1.523 * [backup-simplify]: Simplify 0 into 0 1.523 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.524 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.525 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.525 * [taylor]: Taking taylor expansion of 1/2 in im 1.525 * [backup-simplify]: Simplify 1/2 into 1/2 1.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.525 * [taylor]: Taking taylor expansion of im in im 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (* 1 1) into 1 1.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.528 * [taylor]: Taking taylor expansion of 0 in im 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.530 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.530 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.530 * [taylor]: Taking taylor expansion of im in im 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.530 * [backup-simplify]: Simplify (* 1 1) into 1 1.530 * [backup-simplify]: Simplify (/ 1 1) into 1 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.530 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.530 * [taylor]: Taking taylor expansion of re in im 1.530 * [backup-simplify]: Simplify re into re 1.530 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.531 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.531 * [backup-simplify]: Simplify (+ 1 0) into 1 1.531 * [backup-simplify]: Simplify (sqrt 1) into 1 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.533 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.533 * [taylor]: Taking taylor expansion of im in re 1.533 * [backup-simplify]: Simplify im into im 1.533 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.533 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.533 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.533 * [taylor]: Taking taylor expansion of re in re 1.533 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify 1 into 1 1.533 * [backup-simplify]: Simplify (* 1 1) into 1 1.533 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [backup-simplify]: Simplify (+ 0 1) into 1 1.534 * [backup-simplify]: Simplify (sqrt 1) into 1 1.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.535 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.535 * [backup-simplify]: Simplify im into im 1.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.536 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.536 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.536 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.536 * [taylor]: Taking taylor expansion of re in re 1.536 * [backup-simplify]: Simplify 0 into 0 1.536 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.536 * [backup-simplify]: Simplify (+ 0 1) into 1 1.537 * [backup-simplify]: Simplify (sqrt 1) into 1 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.538 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.539 * [taylor]: Taking taylor expansion of 1 in im 1.539 * [backup-simplify]: Simplify 1 into 1 1.539 * [taylor]: Taking taylor expansion of 0 in im 1.539 * [backup-simplify]: Simplify 0 into 0 1.539 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.540 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.542 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.542 * [taylor]: Taking taylor expansion of 1/2 in im 1.542 * [backup-simplify]: Simplify 1/2 into 1/2 1.542 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.542 * [taylor]: Taking taylor expansion of im in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [backup-simplify]: Simplify (* 1 1) into 1 1.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify 0 into 0 1.543 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.545 * [backup-simplify]: Simplify (+ 0 0) into 0 1.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.546 * [taylor]: Taking taylor expansion of 0 in im 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.547 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.547 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.547 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.547 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.547 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.547 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.547 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.547 * [taylor]: Taking taylor expansion of re in im 1.547 * [backup-simplify]: Simplify re into re 1.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.547 * [taylor]: Taking taylor expansion of im in im 1.547 * [backup-simplify]: Simplify 0 into 0 1.547 * [backup-simplify]: Simplify 1 into 1 1.548 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.548 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.548 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.548 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.548 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.548 * [taylor]: Taking taylor expansion of re in im 1.548 * [backup-simplify]: Simplify re into re 1.548 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.548 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.548 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.548 * [taylor]: Taking taylor expansion of re in re 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify 1 into 1 1.548 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.548 * [taylor]: Taking taylor expansion of im in re 1.548 * [backup-simplify]: Simplify im into im 1.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.548 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.549 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.549 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.549 * [backup-simplify]: Simplify (+ 0 0) into 0 1.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.549 * [taylor]: Taking taylor expansion of re in re 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.549 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.549 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.549 * [taylor]: Taking taylor expansion of re in re 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.549 * [taylor]: Taking taylor expansion of im in re 1.549 * [backup-simplify]: Simplify im into im 1.549 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.549 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.549 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.549 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.550 * [taylor]: Taking taylor expansion of re in re 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (- 0) into 0 1.550 * [backup-simplify]: Simplify (+ im 0) into im 1.550 * [taylor]: Taking taylor expansion of im in im 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify (- 1) into -1 1.551 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.551 * [taylor]: Taking taylor expansion of -1 in im 1.551 * [backup-simplify]: Simplify -1 into -1 1.551 * [backup-simplify]: Simplify -1 into -1 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [backup-simplify]: Simplify (* 1 1) into 1 1.551 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.551 * [backup-simplify]: Simplify (+ 1 0) into 1 1.552 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.552 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.552 * [taylor]: Taking taylor expansion of 1/2 in im 1.552 * [backup-simplify]: Simplify 1/2 into 1/2 1.552 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.552 * [taylor]: Taking taylor expansion of im in im 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (/ 1 1) into 1 1.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.553 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify 0 into 0 1.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.554 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.555 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.557 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.557 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.557 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.557 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.557 * [taylor]: Taking taylor expansion of im in im 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 1 into 1 1.557 * [backup-simplify]: Simplify (* 1 1) into 1 1.558 * [backup-simplify]: Simplify (/ 1 1) into 1 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.558 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.558 * [taylor]: Taking taylor expansion of re in im 1.558 * [backup-simplify]: Simplify re into re 1.558 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.558 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.558 * [backup-simplify]: Simplify (+ 1 0) into 1 1.558 * [backup-simplify]: Simplify (sqrt 1) into 1 1.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ 0 0) into 0 1.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.560 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.560 * [taylor]: Taking taylor expansion of re in im 1.560 * [backup-simplify]: Simplify re into re 1.560 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.560 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.560 * [taylor]: Taking taylor expansion of im in re 1.560 * [backup-simplify]: Simplify im into im 1.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.560 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.560 * [taylor]: Taking taylor expansion of re in re 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.561 * [backup-simplify]: Simplify (/ 1 1) into 1 1.561 * [backup-simplify]: Simplify (+ 0 1) into 1 1.561 * [backup-simplify]: Simplify (sqrt 1) into 1 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.563 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.563 * [taylor]: Taking taylor expansion of im in re 1.563 * [backup-simplify]: Simplify im into im 1.563 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [backup-simplify]: Simplify (+ 0 1) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.566 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.566 * [taylor]: Taking taylor expansion of re in re 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [backup-simplify]: Simplify (- 1) into -1 1.566 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.566 * [taylor]: Taking taylor expansion of 0 in im 1.566 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.567 * [backup-simplify]: Simplify (- 0) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [taylor]: Taking taylor expansion of 0 in im 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.569 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.570 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.570 * [taylor]: Taking taylor expansion of 1/2 in im 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.570 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.570 * [taylor]: Taking taylor expansion of im in im 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (* 1 1) into 1 1.571 * [backup-simplify]: Simplify (/ 1 1) into 1 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (- 0) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.575 * [taylor]: Taking taylor expansion of 0 in im 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.577 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.577 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.577 * [taylor]: Taking taylor expansion of re in im 1.577 * [backup-simplify]: Simplify re into re 1.577 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.577 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (* 1 1) into 1 1.578 * [backup-simplify]: Simplify (/ 1 1) into 1 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.578 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.578 * [taylor]: Taking taylor expansion of re in im 1.578 * [backup-simplify]: Simplify re into re 1.578 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.578 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.578 * [backup-simplify]: Simplify (+ 1 0) into 1 1.578 * [backup-simplify]: Simplify (sqrt 1) into 1 1.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.579 * [backup-simplify]: Simplify (+ 0 0) into 0 1.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.580 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.580 * [taylor]: Taking taylor expansion of re in re 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.580 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.580 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.580 * [taylor]: Taking taylor expansion of im in re 1.580 * [backup-simplify]: Simplify im into im 1.580 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.580 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.580 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.580 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.580 * [taylor]: Taking taylor expansion of re in re 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (* 1 1) into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [backup-simplify]: Simplify (+ 0 1) into 1 1.581 * [backup-simplify]: Simplify (sqrt 1) into 1 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.583 * [taylor]: Taking taylor expansion of re in re 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (/ 1 1) into 1 1.583 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.583 * [taylor]: Taking taylor expansion of im in re 1.583 * [backup-simplify]: Simplify im into im 1.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.583 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.583 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.584 * [taylor]: Taking taylor expansion of re in re 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.584 * [backup-simplify]: Simplify (+ 0 1) into 1 1.584 * [backup-simplify]: Simplify (sqrt 1) into 1 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.586 * [backup-simplify]: Simplify (+ 1 1) into 2 1.586 * [taylor]: Taking taylor expansion of 2 in im 1.586 * [backup-simplify]: Simplify 2 into 2 1.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [taylor]: Taking taylor expansion of 0 in im 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 2 into 2 1.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.590 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.590 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.590 * [taylor]: Taking taylor expansion of 1/2 in im 1.590 * [backup-simplify]: Simplify 1/2 into 1/2 1.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.590 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.590 * [taylor]: Taking taylor expansion of im in im 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (/ 1 1) into 1 1.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.591 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.594 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [taylor]: Taking taylor expansion of 0 in im 1.594 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.596 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 1.596 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) 1.596 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0 1.596 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im 1.596 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im 1.596 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im 1.596 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im 1.596 * [taylor]: Taking taylor expansion of 1/8 in im 1.596 * [backup-simplify]: Simplify 1/8 into 1/8 1.596 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 1.596 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.596 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.596 * [taylor]: Taking taylor expansion of re in im 1.596 * [backup-simplify]: Simplify re into re 1.596 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.596 * [taylor]: Taking taylor expansion of im in im 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 1 into 1 1.596 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.597 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.597 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 1.597 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2))) 1.597 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8) 1.597 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 1.597 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 1.597 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 1.597 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 1.597 * [taylor]: Taking taylor expansion of 1/8 in re 1.597 * [backup-simplify]: Simplify 1/8 into 1/8 1.597 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.597 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.597 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.597 * [taylor]: Taking taylor expansion of re in re 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.597 * [taylor]: Taking taylor expansion of im in re 1.597 * [backup-simplify]: Simplify im into im 1.597 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.597 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.598 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.598 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 1.598 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 1.598 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 1.598 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 1.598 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 1.598 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 1.598 * [taylor]: Taking taylor expansion of 1/8 in re 1.598 * [backup-simplify]: Simplify 1/8 into 1/8 1.598 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 1.598 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.598 * [taylor]: Taking taylor expansion of re in re 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.598 * [taylor]: Taking taylor expansion of im in re 1.598 * [backup-simplify]: Simplify im into im 1.598 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.598 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.598 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 1.598 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 1.598 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 1.599 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im) 1.599 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4) 1.599 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 1.599 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 1.599 * [taylor]: Taking taylor expansion of 1/4 in im 1.599 * [backup-simplify]: Simplify 1/4 into 1/4 1.599 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 1.599 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.599 * [taylor]: Taking taylor expansion of im in im 1.599 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify 1 into 1 1.599 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (* 1 1) into 1 1.600 * [backup-simplify]: Simplify (log 1) into 0 1.600 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.600 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 1.600 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 1.600 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 1.601 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.601 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 1.602 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0 1.603 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.603 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0 1.603 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0 1.603 * [taylor]: Taking taylor expansion of 0 in im 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.605 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.606 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.606 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 1.606 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify (* 1 1) into 1 1.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.608 * [backup-simplify]: Simplify (+ 1 0) into 1 1.609 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 1.610 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2))) 1.610 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 1.611 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.612 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 1.612 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 1.612 * [taylor]: Taking taylor expansion of 3/8 in im 1.612 * [backup-simplify]: Simplify 3/8 into 3/8 1.612 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 1.612 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 1.612 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 1.612 * [taylor]: Taking taylor expansion of 1/4 in im 1.612 * [backup-simplify]: Simplify 1/4 into 1/4 1.612 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 1.612 * [taylor]: Taking taylor expansion of (pow im 5) in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (* 1 1) into 1 1.613 * [backup-simplify]: Simplify (/ 1 1) into 1 1.613 * [backup-simplify]: Simplify (log 1) into 0 1.614 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.614 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 1.614 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 1.614 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 1.614 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 1.614 * [backup-simplify]: Simplify 0 into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.623 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1.624 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.624 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 1.625 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.626 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.629 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 1.629 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 1.632 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0 1.633 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0 1.633 * [taylor]: Taking taylor expansion of 0 in im 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.636 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 1.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 1.637 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.641 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.642 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 1.643 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 1.643 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.643 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 1.644 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 1.644 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 1.644 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 1.644 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 1.644 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.644 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.644 * [taylor]: Taking taylor expansion of 1/8 in im 1.644 * [backup-simplify]: Simplify 1/8 into 1/8 1.644 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.644 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.644 * [taylor]: Taking taylor expansion of im in im 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* 1 1) into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.645 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.645 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.645 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.645 * [backup-simplify]: Simplify (+ 1 0) into 1 1.646 * [backup-simplify]: Simplify (log 1) into 0 1.646 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.646 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 1.646 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 1.646 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 1.646 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 1.646 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.646 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.646 * [taylor]: Taking taylor expansion of 1/8 in re 1.646 * [backup-simplify]: Simplify 1/8 into 1/8 1.646 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.646 * [backup-simplify]: Simplify im into im 1.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.646 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [backup-simplify]: Simplify (/ 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ 0 1) into 1 1.647 * [backup-simplify]: Simplify (log 1) into 0 1.648 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.648 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 1.648 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.648 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 1.648 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 1.648 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.648 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.648 * [taylor]: Taking taylor expansion of 1/8 in re 1.648 * [backup-simplify]: Simplify 1/8 into 1/8 1.648 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.648 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.648 * [taylor]: Taking taylor expansion of im in re 1.648 * [backup-simplify]: Simplify im into im 1.648 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.648 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.648 * [taylor]: Taking taylor expansion of re in re 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.649 * [backup-simplify]: Simplify (+ 0 1) into 1 1.649 * [backup-simplify]: Simplify (log 1) into 0 1.650 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.650 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 1.650 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.650 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 1.650 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 1.650 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.650 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.650 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.650 * [taylor]: Taking taylor expansion of 1/4 in im 1.650 * [backup-simplify]: Simplify 1/4 into 1/4 1.650 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.650 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.650 * [taylor]: Taking taylor expansion of re in im 1.650 * [backup-simplify]: Simplify re into re 1.650 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.650 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.650 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.651 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.651 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.651 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.651 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.653 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.653 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 1.654 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 1.654 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 1.654 * [taylor]: Taking taylor expansion of 0 in im 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.654 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.654 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.655 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.656 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.659 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.659 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 1.660 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 1.660 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 1.661 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 1.661 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 1.661 * [taylor]: Taking taylor expansion of 3/8 in im 1.661 * [backup-simplify]: Simplify 3/8 into 3/8 1.661 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 1.661 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.661 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.661 * [taylor]: Taking taylor expansion of 1/4 in im 1.661 * [backup-simplify]: Simplify 1/4 into 1/4 1.661 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.662 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.662 * [taylor]: Taking taylor expansion of re in im 1.662 * [backup-simplify]: Simplify re into re 1.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.662 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.662 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.662 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.662 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.662 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.662 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.662 * [taylor]: Taking taylor expansion of im in im 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.665 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.665 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.666 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.667 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.667 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.668 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.670 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 1.670 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 1.671 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 1.671 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.672 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.673 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.674 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.675 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ 0 0) into 0 1.678 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.679 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.679 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.681 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 1.682 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 1.682 * [taylor]: Taking taylor expansion of 0 in im 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4) 1.682 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 1.682 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 1.682 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 1.682 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 1.682 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.682 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.682 * [taylor]: Taking taylor expansion of 1/8 in im 1.682 * [backup-simplify]: Simplify 1/8 into 1/8 1.682 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.682 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.682 * [taylor]: Taking taylor expansion of im in im 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (/ 1 1) into 1 1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.683 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.683 * [taylor]: Taking taylor expansion of re in im 1.683 * [backup-simplify]: Simplify re into re 1.683 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.683 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.683 * [backup-simplify]: Simplify (+ 1 0) into 1 1.684 * [backup-simplify]: Simplify (log 1) into 0 1.684 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 1.684 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 1.684 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 1.684 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 1.684 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 1.684 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.684 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.684 * [taylor]: Taking taylor expansion of 1/8 in re 1.684 * [backup-simplify]: Simplify 1/8 into 1/8 1.684 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.684 * [taylor]: Taking taylor expansion of im in re 1.684 * [backup-simplify]: Simplify im into im 1.684 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.684 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.684 * [taylor]: Taking taylor expansion of re in re 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify 1 into 1 1.685 * [backup-simplify]: Simplify (* 1 1) into 1 1.685 * [backup-simplify]: Simplify (/ 1 1) into 1 1.685 * [backup-simplify]: Simplify (+ 0 1) into 1 1.685 * [backup-simplify]: Simplify (log 1) into 0 1.686 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.686 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 1.686 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.686 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 1.686 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 1.686 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.686 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.686 * [taylor]: Taking taylor expansion of 1/8 in re 1.686 * [backup-simplify]: Simplify 1/8 into 1/8 1.686 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.686 * [taylor]: Taking taylor expansion of im in re 1.686 * [backup-simplify]: Simplify im into im 1.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.686 * [taylor]: Taking taylor expansion of re in re 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.687 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [backup-simplify]: Simplify (+ 0 1) into 1 1.687 * [backup-simplify]: Simplify (log 1) into 0 1.688 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.688 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 1.688 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 1.688 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 1.688 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 1.688 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.688 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.688 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.688 * [taylor]: Taking taylor expansion of 1/4 in im 1.688 * [backup-simplify]: Simplify 1/4 into 1/4 1.688 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.688 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.688 * [taylor]: Taking taylor expansion of re in im 1.688 * [backup-simplify]: Simplify re into re 1.688 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.689 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.689 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.689 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.689 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.689 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.689 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 1.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1.691 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.692 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 1.692 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 1.692 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 1.692 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 1.693 * [taylor]: Taking taylor expansion of 0 in im 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.693 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.693 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.694 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 1.697 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.698 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 1.698 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 1.699 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 1.700 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 1.700 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 1.700 * [taylor]: Taking taylor expansion of 3/8 in im 1.700 * [backup-simplify]: Simplify 3/8 into 3/8 1.700 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 1.700 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 1.700 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 1.700 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 1.700 * [taylor]: Taking taylor expansion of 1/4 in im 1.700 * [backup-simplify]: Simplify 1/4 into 1/4 1.700 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 1.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 1.700 * [taylor]: Taking taylor expansion of (pow re 3) in im 1.700 * [taylor]: Taking taylor expansion of re in im 1.700 * [backup-simplify]: Simplify re into re 1.700 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.700 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 1.700 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 1.700 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 1.701 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 1.701 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 1.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.701 * [taylor]: Taking taylor expansion of im in im 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (* 1 1) into 1 1.701 * [backup-simplify]: Simplify (/ 1 1) into 1 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.703 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 1.704 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 1.705 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 1.705 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.706 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.707 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.708 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.709 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 1.710 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 1.711 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.712 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 1.713 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 1.714 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 1.715 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify (+ 0 0) into 0 1.724 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1.725 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 1.726 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 1.727 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.728 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 1.728 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 1.728 * [taylor]: Taking taylor expansion of 0 in im 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4) 1.728 * * * [progress]: simplifying candidates 1.730 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)) (log (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (exp (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (cbrt (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (* (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (- (pow (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (+ (* re re) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (- re) (- (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (- re) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) 1.731 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp h1)) (log (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (exp (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (* (cbrt (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (cbrt (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))) (cbrt (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (* (* (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (sqrt (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (sqrt (- (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (- (pow (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow h1 3)) (+ (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (+ (* h1 h1) (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))) (- h1) (- (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* h1 h1)) (+ (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (- h1) (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (log (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))))) 3) (pow (sqrt (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) 3) (pow (sqrt (sqrt (sqrt (- (* h1 h1) (* h0 h0))))) 3) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 3 2)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (+ (pow h0 3/4) (* 3/8 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/4)))) (pow (pow h1 3) 1/4) (pow (* -1 (pow h1 3)) 1/4) 1.775 * * * [progress]: adding candidates to table 2.106 * * [progress]: iteration 4 / 4 2.107 * * * [progress]: picking best candidate 2.125 * * * * [pick]: Picked # 2.125 * * * [progress]: localizing error 2.149 * * * [progress]: generating rewritten candidates 2.149 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 2.157 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 2.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.214 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 2.231 * * * [progress]: generating series expansions 2.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 2.232 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.232 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.232 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.232 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.232 * [taylor]: Taking taylor expansion of re in im 2.232 * [backup-simplify]: Simplify re into re 2.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.232 * [taylor]: Taking taylor expansion of im in im 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.232 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.232 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.232 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.233 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.233 * [taylor]: Taking taylor expansion of re in re 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.233 * [taylor]: Taking taylor expansion of im in re 2.233 * [backup-simplify]: Simplify im into im 2.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.233 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.234 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.234 * [taylor]: Taking taylor expansion of re in re 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.234 * [taylor]: Taking taylor expansion of im in re 2.234 * [backup-simplify]: Simplify im into im 2.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.234 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.234 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.234 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.235 * [taylor]: Taking taylor expansion of im in im 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [taylor]: Taking taylor expansion of 0 in im 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (* 1 1) into 1 2.236 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.236 * [backup-simplify]: Simplify (+ 1 0) into 1 2.236 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.236 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.236 * [taylor]: Taking taylor expansion of 1/2 in im 2.236 * [backup-simplify]: Simplify 1/2 into 1/2 2.236 * [taylor]: Taking taylor expansion of im in im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.238 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.238 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.238 * [taylor]: Taking taylor expansion of 0 in im 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.239 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.239 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.239 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.239 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.239 * [taylor]: Taking taylor expansion of im in im 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (* 1 1) into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.240 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.240 * [taylor]: Taking taylor expansion of re in im 2.240 * [backup-simplify]: Simplify re into re 2.240 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.240 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.240 * [backup-simplify]: Simplify (+ 1 0) into 1 2.241 * [backup-simplify]: Simplify (sqrt 1) into 1 2.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.242 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.242 * [taylor]: Taking taylor expansion of im in re 2.242 * [backup-simplify]: Simplify im into im 2.242 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.243 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.243 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.243 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.243 * [taylor]: Taking taylor expansion of re in re 2.243 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify 1 into 1 2.243 * [backup-simplify]: Simplify (* 1 1) into 1 2.243 * [backup-simplify]: Simplify (/ 1 1) into 1 2.243 * [backup-simplify]: Simplify (+ 0 1) into 1 2.244 * [backup-simplify]: Simplify (sqrt 1) into 1 2.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ 0 0) into 0 2.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.245 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.245 * [taylor]: Taking taylor expansion of im in re 2.245 * [backup-simplify]: Simplify im into im 2.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.245 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.245 * [taylor]: Taking taylor expansion of re in re 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (* 1 1) into 1 2.246 * [backup-simplify]: Simplify (/ 1 1) into 1 2.246 * [backup-simplify]: Simplify (+ 0 1) into 1 2.246 * [backup-simplify]: Simplify (sqrt 1) into 1 2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.248 * [taylor]: Taking taylor expansion of 1 in im 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [taylor]: Taking taylor expansion of 0 in im 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.250 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.250 * [taylor]: Taking taylor expansion of 1/2 in im 2.250 * [backup-simplify]: Simplify 1/2 into 1/2 2.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.250 * [taylor]: Taking taylor expansion of im in im 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.253 * [taylor]: Taking taylor expansion of 0 in im 2.253 * [backup-simplify]: Simplify 0 into 0 2.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.255 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.255 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.255 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.255 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.255 * [taylor]: Taking taylor expansion of im in im 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (* 1 1) into 1 2.256 * [backup-simplify]: Simplify (/ 1 1) into 1 2.256 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.256 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.256 * [taylor]: Taking taylor expansion of re in im 2.256 * [backup-simplify]: Simplify re into re 2.256 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.256 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.256 * [backup-simplify]: Simplify (+ 1 0) into 1 2.256 * [backup-simplify]: Simplify (sqrt 1) into 1 2.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.258 * [taylor]: Taking taylor expansion of im in re 2.258 * [backup-simplify]: Simplify im into im 2.258 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.258 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.258 * [taylor]: Taking taylor expansion of re in re 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.258 * [backup-simplify]: Simplify (* 1 1) into 1 2.259 * [backup-simplify]: Simplify (/ 1 1) into 1 2.259 * [backup-simplify]: Simplify (+ 0 1) into 1 2.259 * [backup-simplify]: Simplify (sqrt 1) into 1 2.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.261 * [taylor]: Taking taylor expansion of im in re 2.261 * [backup-simplify]: Simplify im into im 2.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.261 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.261 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.261 * [taylor]: Taking taylor expansion of re in re 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (* 1 1) into 1 2.261 * [backup-simplify]: Simplify (/ 1 1) into 1 2.262 * [backup-simplify]: Simplify (+ 0 1) into 1 2.262 * [backup-simplify]: Simplify (sqrt 1) into 1 2.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.263 * [taylor]: Taking taylor expansion of 1 in im 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of 0 in im 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.265 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.265 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.265 * [taylor]: Taking taylor expansion of 1/2 in im 2.265 * [backup-simplify]: Simplify 1/2 into 1/2 2.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.266 * [taylor]: Taking taylor expansion of im in im 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.269 * [taylor]: Taking taylor expansion of 0 in im 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1) 2.270 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.270 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.270 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.270 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.270 * [taylor]: Taking taylor expansion of re in im 2.270 * [backup-simplify]: Simplify re into re 2.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.270 * [taylor]: Taking taylor expansion of im in im 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.271 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.271 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.271 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.271 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.271 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.271 * [taylor]: Taking taylor expansion of re in re 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.271 * [taylor]: Taking taylor expansion of im in re 2.271 * [backup-simplify]: Simplify im into im 2.271 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.271 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.271 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.272 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.272 * [taylor]: Taking taylor expansion of re in re 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.272 * [taylor]: Taking taylor expansion of im in re 2.272 * [backup-simplify]: Simplify im into im 2.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.272 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.273 * [taylor]: Taking taylor expansion of im in im 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [taylor]: Taking taylor expansion of 0 in im 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.274 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.274 * [taylor]: Taking taylor expansion of 1/2 in im 2.274 * [backup-simplify]: Simplify 1/2 into 1/2 2.274 * [taylor]: Taking taylor expansion of im in im 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.281 * [taylor]: Taking taylor expansion of 0 in im 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.281 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.282 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.282 * [taylor]: Taking taylor expansion of im in im 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (* 1 1) into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.282 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.282 * [taylor]: Taking taylor expansion of re in im 2.282 * [backup-simplify]: Simplify re into re 2.282 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.282 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.283 * [backup-simplify]: Simplify (+ 1 0) into 1 2.283 * [backup-simplify]: Simplify (sqrt 1) into 1 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.284 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.284 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.284 * [taylor]: Taking taylor expansion of im in re 2.284 * [backup-simplify]: Simplify im into im 2.284 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.285 * [taylor]: Taking taylor expansion of re in re 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (* 1 1) into 1 2.285 * [backup-simplify]: Simplify (/ 1 1) into 1 2.285 * [backup-simplify]: Simplify (+ 0 1) into 1 2.286 * [backup-simplify]: Simplify (sqrt 1) into 1 2.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.287 * [taylor]: Taking taylor expansion of im in re 2.287 * [backup-simplify]: Simplify im into im 2.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.287 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.287 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.287 * [taylor]: Taking taylor expansion of re in re 2.287 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (* 1 1) into 1 2.288 * [backup-simplify]: Simplify (/ 1 1) into 1 2.288 * [backup-simplify]: Simplify (+ 0 1) into 1 2.288 * [backup-simplify]: Simplify (sqrt 1) into 1 2.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.290 * [taylor]: Taking taylor expansion of 1 in im 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of 0 in im 2.290 * [backup-simplify]: Simplify 0 into 0 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.292 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.292 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.292 * [taylor]: Taking taylor expansion of 1/2 in im 2.292 * [backup-simplify]: Simplify 1/2 into 1/2 2.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.292 * [taylor]: Taking taylor expansion of im in im 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.295 * [backup-simplify]: Simplify (+ 0 0) into 0 2.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.296 * [taylor]: Taking taylor expansion of 0 in im 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.297 * [taylor]: Taking taylor expansion of im in im 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.298 * [backup-simplify]: Simplify (* 1 1) into 1 2.298 * [backup-simplify]: Simplify (/ 1 1) into 1 2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.298 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.298 * [taylor]: Taking taylor expansion of re in im 2.298 * [backup-simplify]: Simplify re into re 2.298 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.298 * [backup-simplify]: Simplify (+ 1 0) into 1 2.299 * [backup-simplify]: Simplify (sqrt 1) into 1 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.300 * [taylor]: Taking taylor expansion of im in re 2.300 * [backup-simplify]: Simplify im into im 2.300 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.300 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.300 * [taylor]: Taking taylor expansion of re in re 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (* 1 1) into 1 2.301 * [backup-simplify]: Simplify (/ 1 1) into 1 2.301 * [backup-simplify]: Simplify (+ 0 1) into 1 2.301 * [backup-simplify]: Simplify (sqrt 1) into 1 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.303 * [taylor]: Taking taylor expansion of im in re 2.303 * [backup-simplify]: Simplify im into im 2.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.303 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.303 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.303 * [taylor]: Taking taylor expansion of re in re 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.303 * [backup-simplify]: Simplify (* 1 1) into 1 2.303 * [backup-simplify]: Simplify (/ 1 1) into 1 2.304 * [backup-simplify]: Simplify (+ 0 1) into 1 2.304 * [backup-simplify]: Simplify (sqrt 1) into 1 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.306 * [taylor]: Taking taylor expansion of 1 in im 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [taylor]: Taking taylor expansion of 0 in im 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.308 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.308 * [taylor]: Taking taylor expansion of 1/2 in im 2.308 * [backup-simplify]: Simplify 1/2 into 1/2 2.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.308 * [taylor]: Taking taylor expansion of im in im 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.308 * [backup-simplify]: Simplify (* 1 1) into 1 2.308 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify 0 into 0 2.309 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.311 * [taylor]: Taking taylor expansion of 0 in im 2.311 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.312 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.313 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.313 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.313 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.313 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.313 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.313 * [taylor]: Taking taylor expansion of re in im 2.313 * [backup-simplify]: Simplify re into re 2.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.313 * [taylor]: Taking taylor expansion of im in im 2.313 * [backup-simplify]: Simplify 0 into 0 2.313 * [backup-simplify]: Simplify 1 into 1 2.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.313 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.313 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.313 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.314 * [taylor]: Taking taylor expansion of re in im 2.314 * [backup-simplify]: Simplify re into re 2.314 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.314 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.314 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.314 * [taylor]: Taking taylor expansion of im in re 2.314 * [backup-simplify]: Simplify im into im 2.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.314 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.314 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.314 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.314 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.315 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.315 * [taylor]: Taking taylor expansion of im in re 2.315 * [backup-simplify]: Simplify im into im 2.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.315 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.315 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.315 * [backup-simplify]: Simplify (+ 0 0) into 0 2.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (- 0) into 0 2.316 * [backup-simplify]: Simplify (+ im 0) into im 2.316 * [taylor]: Taking taylor expansion of im in im 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (- 1) into -1 2.316 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.316 * [taylor]: Taking taylor expansion of -1 in im 2.316 * [backup-simplify]: Simplify -1 into -1 2.316 * [backup-simplify]: Simplify -1 into -1 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (* 1 1) into 1 2.317 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.317 * [backup-simplify]: Simplify (+ 1 0) into 1 2.317 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.318 * [backup-simplify]: Simplify (- 0) into 0 2.318 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.318 * [taylor]: Taking taylor expansion of 1/2 in im 2.318 * [backup-simplify]: Simplify 1/2 into 1/2 2.318 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.318 * [taylor]: Taking taylor expansion of im in im 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify 1 into 1 2.318 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.320 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.320 * [backup-simplify]: Simplify (+ 0 0) into 0 2.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.320 * [backup-simplify]: Simplify (- 0) into 0 2.321 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [taylor]: Taking taylor expansion of 0 in im 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify 0 into 0 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.322 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 3/2) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.322 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.322 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.322 * [taylor]: Taking taylor expansion of im in im 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.323 * [backup-simplify]: Simplify (* 1 1) into 1 2.323 * [backup-simplify]: Simplify (/ 1 1) into 1 2.323 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.323 * [taylor]: Taking taylor expansion of re in im 2.323 * [backup-simplify]: Simplify re into re 2.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.323 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.323 * [backup-simplify]: Simplify (+ 1 0) into 1 2.324 * [backup-simplify]: Simplify (sqrt 1) into 1 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.325 * [taylor]: Taking taylor expansion of re in im 2.325 * [backup-simplify]: Simplify re into re 2.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.325 * [taylor]: Taking taylor expansion of im in re 2.325 * [backup-simplify]: Simplify im into im 2.325 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.325 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.326 * [taylor]: Taking taylor expansion of re in re 2.326 * [backup-simplify]: Simplify 0 into 0 2.326 * [backup-simplify]: Simplify 1 into 1 2.326 * [backup-simplify]: Simplify (* 1 1) into 1 2.326 * [backup-simplify]: Simplify (/ 1 1) into 1 2.326 * [backup-simplify]: Simplify (+ 0 1) into 1 2.326 * [backup-simplify]: Simplify (sqrt 1) into 1 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.328 * [taylor]: Taking taylor expansion of re in re 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (/ 1 1) into 1 2.328 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.328 * [taylor]: Taking taylor expansion of im in re 2.328 * [backup-simplify]: Simplify im into im 2.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.329 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.329 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.329 * [taylor]: Taking taylor expansion of re in re 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (* 1 1) into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [backup-simplify]: Simplify (+ 0 1) into 1 2.330 * [backup-simplify]: Simplify (sqrt 1) into 1 2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ 0 0) into 0 2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.331 * [taylor]: Taking taylor expansion of re in re 2.331 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify 1 into 1 2.331 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [backup-simplify]: Simplify (- 1) into -1 2.332 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.332 * [taylor]: Taking taylor expansion of 0 in im 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (- 0) into 0 2.333 * [backup-simplify]: Simplify (+ 0 0) into 0 2.333 * [taylor]: Taking taylor expansion of 0 in im 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.335 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (- 0) into 0 2.335 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.336 * [taylor]: Taking taylor expansion of 1/2 in im 2.336 * [backup-simplify]: Simplify 1/2 into 1/2 2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.336 * [taylor]: Taking taylor expansion of im in im 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (* 1 1) into 1 2.336 * [backup-simplify]: Simplify (/ 1 1) into 1 2.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify 0 into 0 2.337 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (- 0) into 0 2.340 * [backup-simplify]: Simplify (+ 0 0) into 0 2.340 * [taylor]: Taking taylor expansion of 0 in im 2.340 * [backup-simplify]: Simplify 0 into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (- (* (pow (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 3/2) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.342 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.342 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.343 * [taylor]: Taking taylor expansion of re in im 2.343 * [backup-simplify]: Simplify re into re 2.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.343 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.343 * [taylor]: Taking taylor expansion of im in im 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.343 * [backup-simplify]: Simplify (* 1 1) into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.343 * [taylor]: Taking taylor expansion of re in im 2.343 * [backup-simplify]: Simplify re into re 2.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.344 * [backup-simplify]: Simplify (+ 1 0) into 1 2.344 * [backup-simplify]: Simplify (sqrt 1) into 1 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ 0 0) into 0 2.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.345 * [taylor]: Taking taylor expansion of re in re 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (/ 1 1) into 1 2.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.346 * [taylor]: Taking taylor expansion of im in re 2.346 * [backup-simplify]: Simplify im into im 2.346 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.346 * [taylor]: Taking taylor expansion of re in re 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [backup-simplify]: Simplify (+ 0 1) into 1 2.347 * [backup-simplify]: Simplify (sqrt 1) into 1 2.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.348 * [taylor]: Taking taylor expansion of re in re 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.349 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.349 * [taylor]: Taking taylor expansion of im in re 2.349 * [backup-simplify]: Simplify im into im 2.349 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.349 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.349 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.349 * [taylor]: Taking taylor expansion of re in re 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (* 1 1) into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [backup-simplify]: Simplify (+ 0 1) into 1 2.350 * [backup-simplify]: Simplify (sqrt 1) into 1 2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.351 * [backup-simplify]: Simplify (+ 0 0) into 0 2.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.352 * [backup-simplify]: Simplify (+ 1 1) into 2 2.352 * [taylor]: Taking taylor expansion of 2 in im 2.352 * [backup-simplify]: Simplify 2 into 2 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [taylor]: Taking taylor expansion of 0 in im 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 2 into 2 2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.354 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.355 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.355 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.355 * [taylor]: Taking taylor expansion of 1/2 in im 2.355 * [backup-simplify]: Simplify 1/2 into 1/2 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.355 * [taylor]: Taking taylor expansion of im in im 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [taylor]: Taking taylor expansion of 0 in im 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.361 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.362 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 2.362 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) into (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 3/2) 2.362 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 3/2) in (re im) around 0 2.362 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 3/2) in im 2.362 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (pow re 2) (pow im 2)) 1/4)))) in im 2.362 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (pow re 2) (pow im 2)) 1/4))) in im 2.362 * [taylor]: Taking taylor expansion of 3/2 in im 2.362 * [backup-simplify]: Simplify 3/2 into 3/2 2.362 * [taylor]: Taking taylor expansion of (log (pow (+ (pow re 2) (pow im 2)) 1/4)) in im 2.362 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in im 2.362 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in im 2.362 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in im 2.362 * [taylor]: Taking taylor expansion of 1/4 in im 2.362 * [backup-simplify]: Simplify 1/4 into 1/4 2.362 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 2.362 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.362 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.362 * [taylor]: Taking taylor expansion of re in im 2.362 * [backup-simplify]: Simplify re into re 2.362 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.362 * [taylor]: Taking taylor expansion of im in im 2.362 * [backup-simplify]: Simplify 0 into 0 2.362 * [backup-simplify]: Simplify 1 into 1 2.362 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.362 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.363 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 2.363 * [backup-simplify]: Simplify (* 1/4 (log (pow re 2))) into (* 1/4 (log (pow re 2))) 2.363 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 2)))) into (pow (pow re 2) 1/4) 2.363 * [backup-simplify]: Simplify (log (pow (pow re 2) 1/4)) into (log (pow (pow re 2) 1/4)) 2.363 * [backup-simplify]: Simplify (* 3/2 (log (pow (pow re 2) 1/4))) into (* 3/2 (log (pow (pow re 2) 1/4))) 2.363 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow (pow re 2) 1/4)))) into (pow (pow (pow re 2) 1/4) 3/2) 2.363 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 3/2) in re 2.363 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (pow re 2) (pow im 2)) 1/4)))) in re 2.363 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (pow re 2) (pow im 2)) 1/4))) in re 2.363 * [taylor]: Taking taylor expansion of 3/2 in re 2.363 * [backup-simplify]: Simplify 3/2 into 3/2 2.363 * [taylor]: Taking taylor expansion of (log (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 2.363 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 2.363 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 2.363 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 2.363 * [taylor]: Taking taylor expansion of 1/4 in re 2.363 * [backup-simplify]: Simplify 1/4 into 1/4 2.363 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.363 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.363 * [taylor]: Taking taylor expansion of re in re 2.363 * [backup-simplify]: Simplify 0 into 0 2.363 * [backup-simplify]: Simplify 1 into 1 2.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.363 * [taylor]: Taking taylor expansion of im in re 2.363 * [backup-simplify]: Simplify im into im 2.364 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.364 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.364 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.364 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 2.364 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 2.364 * [backup-simplify]: Simplify (log (pow (pow im 2) 1/4)) into (log (pow (pow im 2) 1/4)) 2.364 * [backup-simplify]: Simplify (* 3/2 (log (pow (pow im 2) 1/4))) into (* 3/2 (log (pow (pow im 2) 1/4))) 2.364 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow (pow im 2) 1/4)))) into (pow (pow (pow im 2) 1/4) 3/2) 2.364 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/4) 3/2) in re 2.364 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (pow re 2) (pow im 2)) 1/4)))) in re 2.364 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (pow re 2) (pow im 2)) 1/4))) in re 2.364 * [taylor]: Taking taylor expansion of 3/2 in re 2.364 * [backup-simplify]: Simplify 3/2 into 3/2 2.364 * [taylor]: Taking taylor expansion of (log (pow (+ (pow re 2) (pow im 2)) 1/4)) in re 2.364 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/4) in re 2.364 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow re 2) (pow im 2))))) in re 2.364 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow re 2) (pow im 2)))) in re 2.364 * [taylor]: Taking taylor expansion of 1/4 in re 2.365 * [backup-simplify]: Simplify 1/4 into 1/4 2.365 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 2.365 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.365 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.365 * [taylor]: Taking taylor expansion of re in re 2.365 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify 1 into 1 2.365 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.365 * [taylor]: Taking taylor expansion of im in re 2.365 * [backup-simplify]: Simplify im into im 2.365 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.365 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.365 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 2.365 * [backup-simplify]: Simplify (* 1/4 (log (pow im 2))) into (* 1/4 (log (pow im 2))) 2.365 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 2)))) into (pow (pow im 2) 1/4) 2.365 * [backup-simplify]: Simplify (log (pow (pow im 2) 1/4)) into (log (pow (pow im 2) 1/4)) 2.365 * [backup-simplify]: Simplify (* 3/2 (log (pow (pow im 2) 1/4))) into (* 3/2 (log (pow (pow im 2) 1/4))) 2.365 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow (pow im 2) 1/4)))) into (pow (pow (pow im 2) 1/4) 3/2) 2.365 * [taylor]: Taking taylor expansion of (pow (pow (pow im 2) 1/4) 3/2) in im 2.366 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (pow im 2) 1/4)))) in im 2.366 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (pow im 2) 1/4))) in im 2.366 * [taylor]: Taking taylor expansion of 3/2 in im 2.366 * [backup-simplify]: Simplify 3/2 into 3/2 2.366 * [taylor]: Taking taylor expansion of (log (pow (pow im 2) 1/4)) in im 2.366 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/4) in im 2.366 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 2)))) in im 2.366 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 2))) in im 2.366 * [taylor]: Taking taylor expansion of 1/4 in im 2.366 * [backup-simplify]: Simplify 1/4 into 1/4 2.366 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 2.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.366 * [taylor]: Taking taylor expansion of im in im 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.366 * [backup-simplify]: Simplify (log 1) into 0 2.367 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.367 * [backup-simplify]: Simplify (* 1/4 (* 2 (log im))) into (* 1/2 (log im)) 2.367 * [backup-simplify]: Simplify (exp (* 1/2 (log im))) into (pow im 1/2) 2.367 * [backup-simplify]: Simplify (log (pow im 1/2)) into (log (pow im 1/2)) 2.367 * [backup-simplify]: Simplify (* 3/2 (log (pow im 1/2))) into (* 3/2 (log (pow im 1/2))) 2.367 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow im 1/2)))) into (pow (pow im 1/2) 3/2) 2.367 * [backup-simplify]: Simplify (pow (pow im 1/2) 3/2) into (pow (pow im 1/2) 3/2) 2.367 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 2.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 2)))) into 0 2.369 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.375 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (pow im 2) 1/4) 1)))) 1) into 0 2.376 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (log (pow (pow im 2) 1/4)))) into 0 2.376 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow (pow im 2) 1/4)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.376 * [taylor]: Taking taylor expansion of 0 in im 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 0 into 0 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.378 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.378 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log im)))) into 0 2.379 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.379 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 1/2) 1)))) 1) into 0 2.380 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (log (pow im 1/2)))) into 0 2.380 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow im 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (* 1 1) into 1 2.381 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.381 * [backup-simplify]: Simplify (+ 1 0) into 1 2.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 2.383 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/4 (/ 1 (pow im 2))) 2.385 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 2.386 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (pow im 2) 1/4) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (sqrt (/ 1 (pow im 3))))) 1)) (pow (pow (pow im 2) 1/4) 1)))) 2) into (/ 1/4 (pow im 2)) 2.387 * [backup-simplify]: Simplify (+ (* 3/2 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow (pow im 2) 1/4))))) into (* 3/8 (/ 1 (pow im 2))) 2.388 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow (pow im 2) 1/4)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 2.388 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 2.388 * [taylor]: Taking taylor expansion of 3/8 in im 2.388 * [backup-simplify]: Simplify 3/8 into 3/8 2.388 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 2.388 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 2.388 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 2.388 * [taylor]: Taking taylor expansion of 1/4 in im 2.388 * [backup-simplify]: Simplify 1/4 into 1/4 2.388 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 2.388 * [taylor]: Taking taylor expansion of (pow im 5) in im 2.388 * [taylor]: Taking taylor expansion of im in im 2.388 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify 1 into 1 2.389 * [backup-simplify]: Simplify (* 1 1) into 1 2.389 * [backup-simplify]: Simplify (* 1 1) into 1 2.389 * [backup-simplify]: Simplify (* 1 1) into 1 2.390 * [backup-simplify]: Simplify (/ 1 1) into 1 2.390 * [backup-simplify]: Simplify (log 1) into 0 2.390 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 2.390 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 2.390 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 2.390 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 2.391 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 2.391 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.394 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 2.395 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.396 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow im 1/2) 1)))) 2) into 0 2.396 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (* 0 (log (pow im 1/2))))) into 0 2.397 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow im 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.398 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.398 * [backup-simplify]: Simplify (+ 0 0) into 0 2.400 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 2.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 2.402 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.404 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (pow im 2) 1/4) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (sqrt (/ 1 (pow im 3))))) 1)) (pow (pow (pow im 2) 1/4) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (pow im 2) 1/4) 1)))) 6) into 0 2.405 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow (pow im 2) 1/4)))))) into 0 2.406 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow (pow im 2) 1/4)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.406 * [taylor]: Taking taylor expansion of 0 in im 2.406 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.409 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 2.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 2.410 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.413 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.414 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 2.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 2.415 * [backup-simplify]: Simplify (* (exp (* 1/2 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.417 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow im 1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 1/2) 1)))) 6) into 0 2.418 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow im 1/2)))))) into 0 2.419 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow im 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow (pow im 1/2) 3/2)) into (+ (pow (pow im 1/2) 3/2) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 2.420 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) 3/2) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) 2.420 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in (re im) around 0 2.420 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in im 2.420 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in im 2.420 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in im 2.420 * [taylor]: Taking taylor expansion of 3/2 in im 2.420 * [backup-simplify]: Simplify 3/2 into 3/2 2.420 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 2.420 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 2.420 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.420 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.420 * [taylor]: Taking taylor expansion of 1/4 in im 2.420 * [backup-simplify]: Simplify 1/4 into 1/4 2.420 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.420 * [taylor]: Taking taylor expansion of im in im 2.420 * [backup-simplify]: Simplify 0 into 0 2.420 * [backup-simplify]: Simplify 1 into 1 2.420 * [backup-simplify]: Simplify (* 1 1) into 1 2.420 * [backup-simplify]: Simplify (/ 1 1) into 1 2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.420 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.421 * [taylor]: Taking taylor expansion of re in im 2.421 * [backup-simplify]: Simplify re into re 2.421 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.421 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.421 * [backup-simplify]: Simplify (+ 1 0) into 1 2.421 * [backup-simplify]: Simplify (log 1) into 0 2.421 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.422 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 2.422 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 2.422 * [backup-simplify]: Simplify (log (pow im -1/2)) into (log (pow im -1/2)) 2.422 * [backup-simplify]: Simplify (* 3/2 (log (pow im -1/2))) into (* 3/2 (log (pow im -1/2))) 2.422 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow im -1/2)))) into (pow (pow im -1/2) 3/2) 2.422 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in re 2.422 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 2.422 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 2.422 * [taylor]: Taking taylor expansion of 3/2 in re 2.422 * [backup-simplify]: Simplify 3/2 into 3/2 2.422 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 2.422 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 2.422 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.422 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.422 * [taylor]: Taking taylor expansion of 1/4 in re 2.422 * [backup-simplify]: Simplify 1/4 into 1/4 2.422 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.422 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.422 * [taylor]: Taking taylor expansion of im in re 2.422 * [backup-simplify]: Simplify im into im 2.422 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.422 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.422 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.422 * [taylor]: Taking taylor expansion of re in re 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (* 1 1) into 1 2.423 * [backup-simplify]: Simplify (/ 1 1) into 1 2.423 * [backup-simplify]: Simplify (+ 0 1) into 1 2.423 * [backup-simplify]: Simplify (log 1) into 0 2.424 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.424 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 2.424 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 2.424 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 2.424 * [backup-simplify]: Simplify (* 3/2 (log (pow re -1/2))) into (* 3/2 (log (pow re -1/2))) 2.424 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow re -1/2)))) into (pow (pow re -1/2) 3/2) 2.424 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in re 2.424 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 2.424 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 2.424 * [taylor]: Taking taylor expansion of 3/2 in re 2.424 * [backup-simplify]: Simplify 3/2 into 3/2 2.424 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 2.424 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 2.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.424 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.424 * [taylor]: Taking taylor expansion of 1/4 in re 2.424 * [backup-simplify]: Simplify 1/4 into 1/4 2.424 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.424 * [taylor]: Taking taylor expansion of im in re 2.424 * [backup-simplify]: Simplify im into im 2.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.424 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.424 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.424 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.425 * [taylor]: Taking taylor expansion of re in re 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (* 1 1) into 1 2.425 * [backup-simplify]: Simplify (/ 1 1) into 1 2.425 * [backup-simplify]: Simplify (+ 0 1) into 1 2.426 * [backup-simplify]: Simplify (log 1) into 0 2.426 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.426 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 2.426 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 2.426 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 2.426 * [backup-simplify]: Simplify (* 3/2 (log (pow re -1/2))) into (* 3/2 (log (pow re -1/2))) 2.426 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow re -1/2)))) into (pow (pow re -1/2) 3/2) 2.426 * [taylor]: Taking taylor expansion of (pow (pow re -1/2) 3/2) in im 2.426 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow re -1/2)))) in im 2.426 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow re -1/2))) in im 2.426 * [taylor]: Taking taylor expansion of 3/2 in im 2.426 * [backup-simplify]: Simplify 3/2 into 3/2 2.426 * [taylor]: Taking taylor expansion of (log (pow re -1/2)) in im 2.426 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 2.426 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 2.426 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 2.426 * [taylor]: Taking taylor expansion of -1/2 in im 2.426 * [backup-simplify]: Simplify -1/2 into -1/2 2.426 * [taylor]: Taking taylor expansion of (log re) in im 2.426 * [taylor]: Taking taylor expansion of re in im 2.426 * [backup-simplify]: Simplify re into re 2.426 * [backup-simplify]: Simplify (log re) into (log re) 2.427 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 2.427 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 2.427 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 2.427 * [backup-simplify]: Simplify (* 3/2 (log (pow re -1/2))) into (* 3/2 (log (pow re -1/2))) 2.427 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow re -1/2)))) into (pow (pow re -1/2) 3/2) 2.427 * [backup-simplify]: Simplify (pow (pow re -1/2) 3/2) into (pow (pow re -1/2) 3/2) 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify (+ 0 0) into 0 2.429 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.429 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.429 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 2.430 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.430 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 2.431 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (log (pow re -1/2)))) into 0 2.431 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.431 * [taylor]: Taking taylor expansion of 0 in im 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.432 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 2.433 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.433 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 2.433 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (log (pow re -1/2)))) into 0 2.434 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.436 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.437 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.437 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 2.438 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 2.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 1)))) 2) into (/ 1/4 (pow im 2)) 2.439 * [backup-simplify]: Simplify (+ (* 3/2 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into (* 3/8 (/ 1 (pow im 2))) 2.440 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 2.440 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 2.440 * [taylor]: Taking taylor expansion of 3/8 in im 2.440 * [backup-simplify]: Simplify 3/8 into 3/8 2.440 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 2.440 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 2.440 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 2.440 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 2.440 * [taylor]: Taking taylor expansion of 1/4 in im 2.440 * [backup-simplify]: Simplify 1/4 into 1/4 2.440 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 2.440 * [taylor]: Taking taylor expansion of (pow re 3) in im 2.440 * [taylor]: Taking taylor expansion of re in im 2.440 * [backup-simplify]: Simplify re into re 2.440 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.440 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 2.440 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 2.441 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 2.441 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 2.441 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.441 * [taylor]: Taking taylor expansion of im in im 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.441 * [backup-simplify]: Simplify (* 1 1) into 1 2.441 * [backup-simplify]: Simplify (/ 1 1) into 1 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.443 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 2.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 2.444 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 2.445 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.446 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 2.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 2.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 2.447 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 2.448 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.449 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 2.449 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 2.449 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 2.450 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.452 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.452 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.453 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow re -1/2) 1)))) 2) into 0 2.454 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into 0 2.455 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.459 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.459 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.461 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.463 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re -1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re -1/2) 1)))) 6) into 0 2.463 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2)))))) into 0 2.465 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.465 * [taylor]: Taking taylor expansion of 0 in im 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify (pow (pow (/ 1 re) -1/2) 3/2) into (pow (pow (/ 1 re) -1/2) 3/2) 2.465 * [backup-simplify]: Simplify (pow (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) 3/2) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) 2.465 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in (re im) around 0 2.465 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in im 2.465 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in im 2.465 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in im 2.465 * [taylor]: Taking taylor expansion of 3/2 in im 2.465 * [backup-simplify]: Simplify 3/2 into 3/2 2.465 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in im 2.465 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in im 2.465 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.465 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.465 * [taylor]: Taking taylor expansion of 1/4 in im 2.465 * [backup-simplify]: Simplify 1/4 into 1/4 2.465 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.465 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.465 * [taylor]: Taking taylor expansion of im in im 2.465 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify (* 1 1) into 1 2.466 * [backup-simplify]: Simplify (/ 1 1) into 1 2.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.466 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.466 * [taylor]: Taking taylor expansion of re in im 2.466 * [backup-simplify]: Simplify re into re 2.466 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.466 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.466 * [backup-simplify]: Simplify (+ 1 0) into 1 2.467 * [backup-simplify]: Simplify (log 1) into 0 2.467 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 2.467 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log im)))) into (* -1/2 (log im)) 2.467 * [backup-simplify]: Simplify (exp (* -1/2 (log im))) into (pow im -1/2) 2.467 * [backup-simplify]: Simplify (log (pow im -1/2)) into (log (pow im -1/2)) 2.467 * [backup-simplify]: Simplify (* 3/2 (log (pow im -1/2))) into (* 3/2 (log (pow im -1/2))) 2.467 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow im -1/2)))) into (pow (pow im -1/2) 3/2) 2.467 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in re 2.467 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 2.467 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 2.467 * [taylor]: Taking taylor expansion of 3/2 in re 2.467 * [backup-simplify]: Simplify 3/2 into 3/2 2.467 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 2.468 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 2.468 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.468 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.468 * [taylor]: Taking taylor expansion of 1/4 in re 2.468 * [backup-simplify]: Simplify 1/4 into 1/4 2.468 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.468 * [taylor]: Taking taylor expansion of im in re 2.468 * [backup-simplify]: Simplify im into im 2.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.468 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.468 * [taylor]: Taking taylor expansion of re in re 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify 1 into 1 2.468 * [backup-simplify]: Simplify (* 1 1) into 1 2.468 * [backup-simplify]: Simplify (/ 1 1) into 1 2.469 * [backup-simplify]: Simplify (+ 0 1) into 1 2.469 * [backup-simplify]: Simplify (log 1) into 0 2.469 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.469 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 2.469 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 2.469 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 2.469 * [backup-simplify]: Simplify (* 3/2 (log (pow re -1/2))) into (* 3/2 (log (pow re -1/2))) 2.470 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow re -1/2)))) into (pow (pow re -1/2) 3/2) 2.470 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) 3/2) in re 2.470 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)))) in re 2.470 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4))) in re 2.470 * [taylor]: Taking taylor expansion of 3/2 in re 2.470 * [backup-simplify]: Simplify 3/2 into 3/2 2.470 * [taylor]: Taking taylor expansion of (log (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4)) in re 2.470 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/4) in re 2.470 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.470 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.470 * [taylor]: Taking taylor expansion of 1/4 in re 2.470 * [backup-simplify]: Simplify 1/4 into 1/4 2.470 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.470 * [taylor]: Taking taylor expansion of im in re 2.470 * [backup-simplify]: Simplify im into im 2.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.470 * [taylor]: Taking taylor expansion of re in re 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (* 1 1) into 1 2.477 * [backup-simplify]: Simplify (/ 1 1) into 1 2.477 * [backup-simplify]: Simplify (+ 0 1) into 1 2.477 * [backup-simplify]: Simplify (log 1) into 0 2.478 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.478 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log re)))) into (* -1/2 (log re)) 2.478 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 2.478 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 2.478 * [backup-simplify]: Simplify (* 3/2 (log (pow re -1/2))) into (* 3/2 (log (pow re -1/2))) 2.478 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow re -1/2)))) into (pow (pow re -1/2) 3/2) 2.478 * [taylor]: Taking taylor expansion of (pow (pow re -1/2) 3/2) in im 2.478 * [taylor]: Taking taylor expansion of (exp (* 3/2 (log (pow re -1/2)))) in im 2.478 * [taylor]: Taking taylor expansion of (* 3/2 (log (pow re -1/2))) in im 2.478 * [taylor]: Taking taylor expansion of 3/2 in im 2.478 * [backup-simplify]: Simplify 3/2 into 3/2 2.478 * [taylor]: Taking taylor expansion of (log (pow re -1/2)) in im 2.478 * [taylor]: Taking taylor expansion of (pow re -1/2) in im 2.478 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log re))) in im 2.478 * [taylor]: Taking taylor expansion of (* -1/2 (log re)) in im 2.478 * [taylor]: Taking taylor expansion of -1/2 in im 2.478 * [backup-simplify]: Simplify -1/2 into -1/2 2.478 * [taylor]: Taking taylor expansion of (log re) in im 2.478 * [taylor]: Taking taylor expansion of re in im 2.478 * [backup-simplify]: Simplify re into re 2.478 * [backup-simplify]: Simplify (log re) into (log re) 2.478 * [backup-simplify]: Simplify (* -1/2 (log re)) into (* -1/2 (log re)) 2.479 * [backup-simplify]: Simplify (exp (* -1/2 (log re))) into (pow re -1/2) 2.479 * [backup-simplify]: Simplify (log (pow re -1/2)) into (log (pow re -1/2)) 2.479 * [backup-simplify]: Simplify (* 3/2 (log (pow re -1/2))) into (* 3/2 (log (pow re -1/2))) 2.479 * [backup-simplify]: Simplify (exp (* 3/2 (log (pow re -1/2)))) into (pow (pow re -1/2) 3/2) 2.479 * [backup-simplify]: Simplify (pow (pow re -1/2) 3/2) into (pow (pow re -1/2) 3/2) 2.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.481 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.481 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log re))))) into 0 2.482 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.482 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 2.483 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (log (pow re -1/2)))) into 0 2.484 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.484 * [taylor]: Taking taylor expansion of 0 in im 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 2.484 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log re))) into 0 2.485 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 2.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re -1/2) 1)))) 1) into 0 2.486 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 (log (pow re -1/2)))) into 0 2.486 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.489 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 2.489 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.489 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/4 (/ 1 (pow im 2))) 2.490 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 2.491 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 1)))) 2) into (/ 1/4 (pow im 2)) 2.491 * [backup-simplify]: Simplify (+ (* 3/2 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into (* 3/8 (/ 1 (pow im 2))) 2.492 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 2.492 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 2.492 * [taylor]: Taking taylor expansion of 3/8 in im 2.492 * [backup-simplify]: Simplify 3/8 into 3/8 2.492 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 2.492 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 2.492 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 2.492 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 2.492 * [taylor]: Taking taylor expansion of 1/4 in im 2.492 * [backup-simplify]: Simplify 1/4 into 1/4 2.492 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 2.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 2.492 * [taylor]: Taking taylor expansion of (pow re 3) in im 2.492 * [taylor]: Taking taylor expansion of re in im 2.492 * [backup-simplify]: Simplify re into re 2.492 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.492 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 2.492 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 2.493 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 2.493 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 2.493 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 2.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.493 * [taylor]: Taking taylor expansion of im in im 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (* 1 1) into 1 2.493 * [backup-simplify]: Simplify (/ 1 1) into 1 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.495 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.495 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 2.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 2.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 2.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 2.497 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.497 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.498 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 2.499 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 2.500 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.501 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 2.501 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 2.502 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 2.504 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log re)))) into 0 2.504 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.506 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow re -1/2) 1)))) 2) into 0 2.506 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (* 0 (log (pow re -1/2))))) into 0 2.507 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 2.511 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 2.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 2.513 * [backup-simplify]: Simplify (* (exp (* -1/2 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/4 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.515 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re -1/2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) 1)) (pow (pow re -1/2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re -1/2) 1)))) 6) into 0 2.515 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (log (pow re -1/2)))))) into 0 2.517 * [backup-simplify]: Simplify (* (exp (* 3/2 (log (pow re -1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.517 * [taylor]: Taking taylor expansion of 0 in im 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify (pow (pow (/ 1 (- re)) -1/2) 3/2) into (pow (pow (/ -1 re) -1/2) 3/2) 2.517 * * * [progress]: simplifying candidates 2.518 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)) (log (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (exp (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (cbrt (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (* (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (- (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (- (pow (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (+ (* re re) (* (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (- re) (- (* (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (+ (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (- re) (* (log (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (* (log (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (* 1/2 3/2) (* 1 3/2) (* (/ 1/2 2) 3/2) (* (/ 1 2) 3/2) (* (/ (/ 1 2) 2) 3/2) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 3/2)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3/2) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))))) 3/2) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))))) 3/2) (pow (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt 1)) 3/2) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow 1 3/2) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (log (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (exp (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (* (cbrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (cbrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2))) (cbrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (* (* (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (/ 3/2 2) (sqrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (sqrt (pow (sqrt (sqrt (+ (* re re) (* im im)))) 3/2)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (/ 3/2 2)) (pow (sqrt (sqrt (+ (* re re) (* im im)))) (/ 3/2 2)) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow (pow im 1/2) 3/2) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow (/ 1 re) -1/2) 3/2) (pow (pow (/ -1 re) -1/2) 3/2) 2.519 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (exp h1)) (log (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (exp (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (* (cbrt (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (cbrt (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))) (cbrt (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (* (* (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (sqrt (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (sqrt (- (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1)) (- (pow (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3) (pow h1 3)) (+ (* (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (+ (* h1 h1) (* (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1))) (- h1) (- (* (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))))) (* h1 h1)) (+ (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) h1) (- h1) (* (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (* (log (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (* 1/2 3/2) (* 1 3/2) (* (/ 1/2 2) 3/2) (* (/ 1 2) 3/2) (* (/ (/ 1 2) 2) 3/2) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt 3/2) (cbrt 3/2))) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 3/2)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 1) (pow (* (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3/2) (pow (cbrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) 3/2) (pow (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) 3/2) (pow (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (sqrt 1)) 3/2) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt 1) 3/2) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3/2) (pow 1 3/2) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (log (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (exp (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (* (cbrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (cbrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2))) (cbrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (* (* (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (/ 3/2 2) (sqrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (sqrt (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) 3/2)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 3/2 2)) (pow (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 3/2 2)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (+ (pow (pow h0 1/2) 3/2) (* 3/8 (* (pow h1 2) (pow (/ 1 (pow h0 5)) 1/4)))) (pow (pow (/ 1 h1) -1/2) 3/2) (pow (pow (/ -1 h1) -1/2) 3/2) 2.634 * * * [progress]: adding candidates to table 2.937 * [progress]: [Phase 3 of 3] Extracting. 2.938 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.942 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 2.942 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 2.995 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 3.043 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # #) 3.095 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # #) 3.147 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # #) 3.205 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # #) 3.262 * * * * [regimes]: Trying to branch on im from (# # # # # # # #) 3.330 * * * * [regimes]: Trying to branch on re from (# # # # # # # #) 3.391 * * * [regime]: Found split indices: #