43.383 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.041 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: Extracting # 3 : cost 0 0.042 * * [simplify]: Extracting # 4 : cost 0 0.042 * * [simplify]: Extracting # 5 : cost 0 0.042 * * [simplify]: Extracting # 6 : cost 0 0.042 * * [simplify]: Extracting # 7 : cost 0 0.042 * * [simplify]: Extracting # 8 : cost 0 0.042 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 1 : 24 enodes (cost 15 ) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.052 * * [simplify]: iteration done: 24 enodes (cost 15 ) 0.052 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.084 * * * [progress]: generating rewritten candidates 0.084 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.101 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.158 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.183 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.192 * * * [progress]: generating series expansions 0.192 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.192 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.192 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [backup-simplify]: Simplify re into re 0.192 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.192 * [taylor]: Taking taylor expansion of im in im 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.193 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.193 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.193 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.193 * [taylor]: Taking taylor expansion of re in re 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.193 * [taylor]: Taking taylor expansion of im in re 0.193 * [backup-simplify]: Simplify im into im 0.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.194 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.194 * [taylor]: Taking taylor expansion of im in re 0.194 * [backup-simplify]: Simplify im into im 0.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.195 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.195 * [taylor]: Taking taylor expansion of im in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.197 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.197 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.197 * [taylor]: Taking taylor expansion of 1/2 in im 0.197 * [backup-simplify]: Simplify 1/2 into 1/2 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.200 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.200 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.201 * [backup-simplify]: Simplify re into re 0.201 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.201 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [backup-simplify]: Simplify im into im 0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (sqrt 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.206 * [taylor]: Taking taylor expansion of im in re 0.206 * [backup-simplify]: Simplify im into im 0.206 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.206 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.208 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.215 * [taylor]: Taking taylor expansion of 1 in im 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of 1/2 in im 0.217 * [backup-simplify]: Simplify 1/2 into 1/2 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.221 * [taylor]: Taking taylor expansion of 0 in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.223 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.223 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.224 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (sqrt 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.226 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.226 * [taylor]: Taking taylor expansion of im in re 0.226 * [backup-simplify]: Simplify im into im 0.226 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.226 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.226 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.226 * [taylor]: Taking taylor expansion of re in re 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (+ 0 1) into 1 0.227 * [backup-simplify]: Simplify (sqrt 1) into 1 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.229 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.229 * [taylor]: Taking taylor expansion of im in re 0.229 * [backup-simplify]: Simplify im into im 0.229 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.229 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.229 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.229 * [taylor]: Taking taylor expansion of re in re 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.230 * [backup-simplify]: Simplify (sqrt 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [taylor]: Taking taylor expansion of 1 in im 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of 0 in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.234 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.234 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.234 * [taylor]: Taking taylor expansion of 1/2 in im 0.234 * [backup-simplify]: Simplify 1/2 into 1/2 0.234 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.242 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.243 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.243 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.243 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.243 * [taylor]: Taking taylor expansion of re in im 0.243 * [backup-simplify]: Simplify re into re 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.243 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.243 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.243 * [taylor]: Taking taylor expansion of re in im 0.243 * [backup-simplify]: Simplify re into re 0.243 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.243 * [taylor]: Taking taylor expansion of im in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.243 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.243 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.244 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.244 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.244 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.244 * [backup-simplify]: Simplify im into im 0.245 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.245 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.245 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.245 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.246 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.246 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.246 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.246 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 im) into im 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in im 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.249 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.250 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.250 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.250 * [taylor]: Taking taylor expansion of 1/2 in im 0.250 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1/2 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 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.257 * [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))))) 0.257 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.257 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.258 * [backup-simplify]: Simplify re into re 0.258 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.259 * [taylor]: Taking taylor expansion of re in im 0.259 * [backup-simplify]: Simplify re into re 0.259 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.262 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.263 * [taylor]: Taking taylor expansion of im in re 0.263 * [backup-simplify]: Simplify im into im 0.263 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ 0 1) into 1 0.265 * [backup-simplify]: Simplify (sqrt 1) into 1 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [backup-simplify]: Simplify im into im 0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (sqrt 1) into 1 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.273 * [backup-simplify]: Simplify (+ 1 1) into 2 0.274 * [taylor]: Taking taylor expansion of 2 in im 0.274 * [backup-simplify]: Simplify 2 into 2 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 2 into 2 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.279 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.279 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.279 * [taylor]: Taking taylor expansion of 1/2 in im 0.279 * [backup-simplify]: Simplify 1/2 into 1/2 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in im 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.291 * [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)) 0.291 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.291 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.291 * [taylor]: Taking taylor expansion of im in im 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.292 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.292 * [taylor]: Taking taylor expansion of re in im 0.292 * [backup-simplify]: Simplify re into re 0.293 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.293 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.293 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.296 * [taylor]: Taking taylor expansion of re in im 0.296 * [backup-simplify]: Simplify re into re 0.296 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.296 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.296 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.296 * [taylor]: Taking taylor expansion of im in re 0.296 * [backup-simplify]: Simplify im into im 0.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [backup-simplify]: Simplify (+ 0 1) into 1 0.298 * [backup-simplify]: Simplify (sqrt 1) into 1 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.302 * [taylor]: Taking taylor expansion of im in re 0.302 * [backup-simplify]: Simplify im into im 0.302 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.302 * [taylor]: Taking taylor expansion of re in re 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (+ 0 1) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [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 0.308 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in im 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.315 * [taylor]: Taking taylor expansion of 1/2 in im 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- 0) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.322 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 0.322 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.322 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.322 * [taylor]: Taking taylor expansion of 2.0 in im 0.322 * [backup-simplify]: Simplify 2.0 into 2.0 0.322 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.322 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.322 * [taylor]: Taking taylor expansion of re in im 0.323 * [backup-simplify]: Simplify re into re 0.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.323 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.323 * [taylor]: Taking taylor expansion of re in im 0.323 * [backup-simplify]: Simplify re into re 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.323 * [taylor]: Taking taylor expansion of im in im 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.323 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.323 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.323 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.323 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.323 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.324 * [taylor]: Taking taylor expansion of 2.0 in re 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.325 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.325 * [taylor]: Taking taylor expansion of re in re 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.325 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.325 * [taylor]: Taking taylor expansion of re in re 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.325 * [taylor]: Taking taylor expansion of im in re 0.325 * [backup-simplify]: Simplify im into im 0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.325 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.325 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.325 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 im) into im 0.326 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.326 * [taylor]: Taking taylor expansion of 2.0 in re 0.326 * [backup-simplify]: Simplify 2.0 into 2.0 0.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.327 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.327 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.327 * [taylor]: Taking taylor expansion of im in re 0.327 * [backup-simplify]: Simplify im into im 0.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.327 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.327 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.327 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 im) into im 0.328 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.328 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.328 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.328 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.328 * [taylor]: Taking taylor expansion of 2.0 in im 0.328 * [backup-simplify]: Simplify 2.0 into 2.0 0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.329 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.329 * [taylor]: Taking taylor expansion of im in im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (sqrt 0) into 0 0.330 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.331 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.331 * [taylor]: Taking taylor expansion of 1/2 in im 0.331 * [backup-simplify]: Simplify 1/2 into 1/2 0.331 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [backup-simplify]: Simplify (sqrt 0) into 0 0.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.334 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.335 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.338 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.342 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.343 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.343 * [backup-simplify]: Simplify (* 1 1) into 1 0.344 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.344 * [backup-simplify]: Simplify (+ 1 0) into 1 0.344 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.344 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.345 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.346 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.346 * [taylor]: Taking taylor expansion of 1/8 in im 0.346 * [backup-simplify]: Simplify 1/8 into 1/8 0.346 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.346 * [taylor]: Taking taylor expansion of 2.0 in im 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.347 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.347 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ 1 1) into 1 0.349 * [backup-simplify]: Simplify (sqrt 0) into 0 0.350 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.359 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.361 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.362 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.369 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.374 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.375 * [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))))))) 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.375 * [taylor]: Taking taylor expansion of 2.0 in im 0.375 * [backup-simplify]: Simplify 2.0 into 2.0 0.376 * [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 im 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.376 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.376 * [taylor]: Taking taylor expansion of re in im 0.376 * [backup-simplify]: Simplify re into re 0.377 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.378 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.378 * [taylor]: Taking taylor expansion of re in im 0.378 * [backup-simplify]: Simplify re into re 0.378 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.378 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.378 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 1) into 1 0.382 * [backup-simplify]: Simplify (sqrt 0) into 0 0.384 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.384 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.384 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.384 * [taylor]: Taking taylor expansion of 2.0 in re 0.384 * [backup-simplify]: Simplify 2.0 into 2.0 0.384 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.385 * [taylor]: Taking taylor expansion of re in re 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.386 * [backup-simplify]: Simplify im into im 0.386 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.386 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* 1 1) into 1 0.387 * [backup-simplify]: Simplify (/ 1 1) into 1 0.387 * [backup-simplify]: Simplify (+ 0 1) into 1 0.388 * [backup-simplify]: Simplify (sqrt 1) into 1 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify (+ 0 0) into 0 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.391 * [backup-simplify]: Simplify (+ 1 1) into 2 0.391 * [backup-simplify]: Simplify (sqrt 0) into 0 0.393 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.393 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.393 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.393 * [taylor]: Taking taylor expansion of 2.0 in re 0.393 * [backup-simplify]: Simplify 2.0 into 2.0 0.393 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.394 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.394 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.394 * [taylor]: Taking taylor expansion of re in re 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.395 * [taylor]: Taking taylor expansion of im in re 0.395 * [backup-simplify]: Simplify im into im 0.395 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.395 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.395 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.395 * [taylor]: Taking taylor expansion of re in re 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify (+ 0 1) into 1 0.397 * [backup-simplify]: Simplify (sqrt 1) into 1 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.400 * [backup-simplify]: Simplify (+ 1 1) into 2 0.400 * [backup-simplify]: Simplify (sqrt 0) into 0 0.401 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.402 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.404 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.404 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) 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) 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.411 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.414 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.414 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.414 * [taylor]: Taking taylor expansion of +nan.0 in im 0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.414 * [taylor]: Taking taylor expansion of 2.0 in im 0.414 * [backup-simplify]: Simplify 2.0 into 2.0 0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.416 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.418 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.419 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.419 * [backup-simplify]: Simplify 0 into 0 0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.424 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.424 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.426 * [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)) 0.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.429 * [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))))) 0.429 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.429 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.429 * [taylor]: Taking taylor expansion of +nan.0 in im 0.429 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.429 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.429 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.429 * [taylor]: Taking taylor expansion of 2.0 in im 0.430 * [backup-simplify]: Simplify 2.0 into 2.0 0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.431 * [backup-simplify]: Simplify (* 1 1) into 1 0.432 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.432 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.432 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.432 * [taylor]: Taking taylor expansion of +nan.0 in im 0.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.432 * [taylor]: Taking taylor expansion of 2.0 in im 0.432 * [backup-simplify]: Simplify 2.0 into 2.0 0.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (- 0) into 0 0.437 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.439 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.441 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.442 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.442 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 0 into 0 0.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.446 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [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))) 0.450 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.452 * [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))))) 0.452 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.452 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.452 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.452 * [taylor]: Taking taylor expansion of +nan.0 in im 0.452 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.452 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.452 * [taylor]: Taking taylor expansion of 2.0 in im 0.452 * [backup-simplify]: Simplify 2.0 into 2.0 0.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.454 * [taylor]: Taking taylor expansion of im in im 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (* 1 1) into 1 0.455 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.455 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.455 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.455 * [taylor]: Taking taylor expansion of +nan.0 in im 0.455 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.455 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.455 * [taylor]: Taking taylor expansion of 2.0 in im 0.455 * [backup-simplify]: Simplify 2.0 into 2.0 0.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.460 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify 0 into 0 0.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.465 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.467 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.469 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.472 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.474 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.477 * [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))))))) 0.477 * [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)))) 0.477 * [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 0.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.477 * [taylor]: Taking taylor expansion of 2.0 in im 0.477 * [backup-simplify]: Simplify 2.0 into 2.0 0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.478 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.479 * [taylor]: Taking taylor expansion of re in im 0.479 * [backup-simplify]: Simplify re into re 0.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.479 * [backup-simplify]: Simplify (+ 1 0) into 1 0.479 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.481 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.481 * [taylor]: Taking taylor expansion of re in im 0.481 * [backup-simplify]: Simplify re into re 0.481 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.481 * [backup-simplify]: Simplify (+ 1 0) into 1 0.482 * [backup-simplify]: Simplify (sqrt 0) into 0 0.486 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.486 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.486 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.486 * [taylor]: Taking taylor expansion of 2.0 in re 0.486 * [backup-simplify]: Simplify 2.0 into 2.0 0.486 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.487 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.487 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.487 * [taylor]: Taking taylor expansion of im in re 0.487 * [backup-simplify]: Simplify im into im 0.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [backup-simplify]: Simplify (+ 0 1) into 1 0.488 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.490 * [backup-simplify]: Simplify 0 into 0 0.490 * [backup-simplify]: Simplify 1 into 1 0.490 * [backup-simplify]: Simplify (/ 1 1) into 1 0.490 * [backup-simplify]: Simplify (- 1) into -1 0.491 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.493 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.495 * [backup-simplify]: Simplify (sqrt 0) into 0 0.495 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.495 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.495 * [taylor]: Taking taylor expansion of 2.0 in re 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.496 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.496 * [taylor]: Taking taylor expansion of im in re 0.496 * [backup-simplify]: Simplify im into im 0.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.496 * [taylor]: Taking taylor expansion of re in re 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ 1 1) into 1 0.497 * [backup-simplify]: Simplify (+ 0 1) into 1 0.497 * [backup-simplify]: Simplify (sqrt 1) into 1 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.499 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [backup-simplify]: Simplify (/ 1 1) into 1 0.499 * [backup-simplify]: Simplify (- 1) into -1 0.499 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (- 0) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.502 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- 0) into 0 0.504 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.504 * [backup-simplify]: Simplify (sqrt 0) into 0 0.505 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.506 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.506 * [taylor]: Taking taylor expansion of 0 in im 0.506 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.507 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.507 * [taylor]: Taking taylor expansion of +nan.0 in im 0.507 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.507 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.507 * [taylor]: Taking taylor expansion of 2.0 in im 0.507 * [backup-simplify]: Simplify 2.0 into 2.0 0.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.508 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.508 * [taylor]: Taking taylor expansion of im in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (* 1 1) into 1 0.509 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.512 * [backup-simplify]: Simplify (- 0) into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (- 0) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.520 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.521 * [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)))) 0.521 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.521 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.521 * [taylor]: Taking taylor expansion of +nan.0 in im 0.521 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.521 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.521 * [taylor]: Taking taylor expansion of 2.0 in im 0.521 * [backup-simplify]: Simplify 2.0 into 2.0 0.522 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.523 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.523 * [taylor]: Taking taylor expansion of im in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.525 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.538 * [backup-simplify]: Simplify (- 0) into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.543 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- 0) into 0 0.549 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.550 * [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)))))) 0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.553 * [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)))))) 0.553 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.554 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.554 * [taylor]: Taking taylor expansion of +nan.0 in im 0.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.554 * [taylor]: Taking taylor expansion of 2.0 in im 0.554 * [backup-simplify]: Simplify 2.0 into 2.0 0.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.555 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.557 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.557 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.557 * [taylor]: Taking taylor expansion of +nan.0 in im 0.557 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.557 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.557 * [taylor]: Taking taylor expansion of 2.0 in im 0.557 * [backup-simplify]: Simplify 2.0 into 2.0 0.557 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.558 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.558 * [taylor]: Taking taylor expansion of im in im 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.559 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.563 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.574 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (- 0) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.603 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.603 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.603 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.603 * [taylor]: Taking taylor expansion of re in im 0.603 * [backup-simplify]: Simplify re into re 0.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.603 * [taylor]: Taking taylor expansion of im in im 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.603 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.603 * [taylor]: Taking taylor expansion of re in re 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.603 * [taylor]: Taking taylor expansion of im in re 0.603 * [backup-simplify]: Simplify im into im 0.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.603 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.604 * [backup-simplify]: Simplify im into im 0.604 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.604 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.604 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.604 * [taylor]: Taking taylor expansion of im in im 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.605 * [backup-simplify]: Simplify (+ 0 0) into 0 0.605 * [taylor]: Taking taylor expansion of 0 in im 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.606 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.606 * [backup-simplify]: Simplify (+ 1 0) into 1 0.606 * [taylor]: Taking taylor expansion of 1 in im 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify 0 into 0 0.607 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [taylor]: Taking taylor expansion of 0 in im 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.612 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.612 * [backup-simplify]: Simplify (+ 0 0) into 0 0.612 * [taylor]: Taking taylor expansion of 0 in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.613 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.613 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.613 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.613 * [taylor]: Taking taylor expansion of im in im 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.614 * [backup-simplify]: Simplify (/ 1 1) into 1 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.614 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.614 * [taylor]: Taking taylor expansion of re in im 0.614 * [backup-simplify]: Simplify re into re 0.614 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.614 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.614 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.614 * [taylor]: Taking taylor expansion of im in re 0.614 * [backup-simplify]: Simplify im into im 0.614 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.615 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.615 * [taylor]: Taking taylor expansion of re in re 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (* 1 1) into 1 0.615 * [backup-simplify]: Simplify (/ 1 1) into 1 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.616 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.616 * [taylor]: Taking taylor expansion of im in re 0.616 * [backup-simplify]: Simplify im into im 0.616 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.616 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.616 * [taylor]: Taking taylor expansion of re in re 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (* 1 1) into 1 0.617 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [backup-simplify]: Simplify (+ 0 1) into 1 0.617 * [taylor]: Taking taylor expansion of 1 in im 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [taylor]: Taking taylor expansion of 0 in im 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.621 * [taylor]: Taking taylor expansion of im in im 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify (/ 1 1) into 1 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in im 0.630 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.635 * [taylor]: Taking taylor expansion of 0 in im 0.635 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.638 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.638 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.639 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.639 * [taylor]: Taking taylor expansion of re in im 0.639 * [backup-simplify]: Simplify re into re 0.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.639 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.639 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.639 * [taylor]: Taking taylor expansion of im in re 0.639 * [backup-simplify]: Simplify im into im 0.640 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.640 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.640 * [taylor]: Taking taylor expansion of re in re 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [backup-simplify]: Simplify (* 1 1) into 1 0.641 * [backup-simplify]: Simplify (/ 1 1) into 1 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.641 * [backup-simplify]: Simplify im into im 0.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [backup-simplify]: Simplify (+ 0 1) into 1 0.642 * [taylor]: Taking taylor expansion of 1 in im 0.642 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.644 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.646 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.647 * [taylor]: Taking taylor expansion of im in im 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in im 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.658 * * * [progress]: simplifying candidates 0.659 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.660 * * [simplify]: Extracting # 0 : cost 0 0.660 * * [simplify]: Extracting # 1 : cost 0 0.661 * * [simplify]: Extracting # 2 : cost 0 0.661 * * [simplify]: Extracting # 3 : cost 0 0.661 * * [simplify]: Extracting # 4 : cost 0 0.661 * * [simplify]: Extracting # 5 : cost 0 0.661 * * [simplify]: Extracting # 6 : cost 0 0.661 * * [simplify]: Extracting # 7 : cost 0 0.661 * * [simplify]: Extracting # 8 : cost 0 0.661 * * [simplify]: Extracting # 9 : cost 0 0.662 * * [simplify]: Extracting # 10 : cost 0 0.662 * * [simplify]: Extracting # 11 : cost 0 0.662 * * [simplify]: iteration 0 : 108 enodes (cost 888 ) 0.724 * * [simplify]: Extracting # 0 : cost 0 0.725 * * [simplify]: Extracting # 1 : cost 0 0.726 * * [simplify]: Extracting # 2 : cost 0 0.727 * * [simplify]: Extracting # 3 : cost 0 0.729 * * [simplify]: Extracting # 4 : cost 0 0.730 * * [simplify]: Extracting # 5 : cost 0 0.731 * * [simplify]: iteration 1 : 552 enodes (cost 761 ) 1.979 * * [simplify]: Extracting # 0 : cost 0 1.991 * * [simplify]: Extracting # 1 : cost 0 2.001 * * [simplify]: Extracting # 2 : cost 0 2.008 * * [simplify]: Extracting # 3 : cost 0 2.014 * * [simplify]: Extracting # 4 : cost 0 2.027 * * [simplify]: Extracting # 5 : cost 0 2.039 * * [simplify]: iteration done: 5000 enodes (cost 709 ) 2.040 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (pow im (* 2 2)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (+ (* im im) (* (- re (sqrt (+ (* re re) (* im im)))) re)) (* re re)) (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) 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)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (+ (* im im) (* (- re (sqrt (+ (* re re) (* im im)))) re)) (* re re))) (sqrt (* 2.0 (- (+ (* re re) (* im im)) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re)) (- (* (pow re 3) re) (pow im (* 2 2))) (- (* re re) (* im im)) im re (- re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (- (- (* re re)) (- re im))) (- (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0)) (* +nan.0 (sqrt 2.0))) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 2.040 * * * [progress]: adding candidates to table 2.300 * * [progress]: iteration 2 / 4 2.300 * * * [progress]: picking best candidate 2.329 * * * * [pick]: Picked # 2.329 * * * [progress]: localizing error 2.353 * * * [progress]: generating rewritten candidates 2.353 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 2.395 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 2.457 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.582 * * * [progress]: generating series expansions 2.582 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.583 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.583 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.583 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.583 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.583 * [taylor]: Taking taylor expansion of re in im 2.583 * [backup-simplify]: Simplify re into re 2.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.583 * [taylor]: Taking taylor expansion of im in im 2.583 * [backup-simplify]: Simplify 0 into 0 2.583 * [backup-simplify]: Simplify 1 into 1 2.583 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.583 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.584 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.584 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.584 * [backup-simplify]: Simplify (+ 0 0) into 0 2.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.585 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.585 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.585 * [taylor]: Taking taylor expansion of re in re 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.585 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.585 * [taylor]: Taking taylor expansion of im in re 2.585 * [backup-simplify]: Simplify im into im 2.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.585 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.585 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.585 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.586 * [backup-simplify]: Simplify (+ 0 0) into 0 2.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.586 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.586 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.586 * [taylor]: Taking taylor expansion of re in re 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.586 * [taylor]: Taking taylor expansion of im in re 2.586 * [backup-simplify]: Simplify im into im 2.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.587 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.587 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.587 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.587 * [backup-simplify]: Simplify (+ 0 0) into 0 2.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.587 * [taylor]: Taking taylor expansion of im in im 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [taylor]: Taking taylor expansion of 0 in im 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.588 * [backup-simplify]: Simplify (* 1 1) into 1 2.589 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.589 * [backup-simplify]: Simplify (+ 1 0) into 1 2.590 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.590 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.590 * [taylor]: Taking taylor expansion of 1/2 in im 2.590 * [backup-simplify]: Simplify 1/2 into 1/2 2.590 * [taylor]: Taking taylor expansion of im in im 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.593 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.594 * [backup-simplify]: Simplify (+ 0 0) into 0 2.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.594 * [taylor]: Taking taylor expansion of 0 in im 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.595 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.595 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.596 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.596 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.596 * [taylor]: Taking taylor expansion of im in im 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.596 * [backup-simplify]: Simplify (* 1 1) into 1 2.596 * [backup-simplify]: Simplify (/ 1 1) into 1 2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.597 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.597 * [taylor]: Taking taylor expansion of re in im 2.597 * [backup-simplify]: Simplify re into re 2.597 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.597 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.597 * [backup-simplify]: Simplify (+ 1 0) into 1 2.598 * [backup-simplify]: Simplify (sqrt 1) into 1 2.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.600 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.600 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.601 * [taylor]: Taking taylor expansion of im in re 2.601 * [backup-simplify]: Simplify im into im 2.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.601 * [taylor]: Taking taylor expansion of re in re 2.601 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (* 1 1) into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [backup-simplify]: Simplify (+ 0 1) into 1 2.603 * [backup-simplify]: Simplify (sqrt 1) into 1 2.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.604 * [backup-simplify]: Simplify (+ 0 0) into 0 2.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.605 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.606 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.606 * [taylor]: Taking taylor expansion of im in re 2.606 * [backup-simplify]: Simplify im into im 2.606 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.606 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.606 * [taylor]: Taking taylor expansion of re in re 2.606 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (* 1 1) into 1 2.607 * [backup-simplify]: Simplify (/ 1 1) into 1 2.607 * [backup-simplify]: Simplify (+ 0 1) into 1 2.608 * [backup-simplify]: Simplify (sqrt 1) into 1 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ 0 0) into 0 2.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.610 * [taylor]: Taking taylor expansion of 1 in im 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of 0 in im 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.613 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.614 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.614 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.614 * [taylor]: Taking taylor expansion of 1/2 in im 2.614 * [backup-simplify]: Simplify 1/2 into 1/2 2.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.614 * [taylor]: Taking taylor expansion of im in im 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (* 1 1) into 1 2.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify 0 into 0 2.617 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.621 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.621 * [taylor]: Taking taylor expansion of 0 in im 2.621 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.623 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.623 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.623 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.624 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.624 * [taylor]: Taking taylor expansion of im in im 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.625 * [backup-simplify]: Simplify (/ 1 1) into 1 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.625 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.625 * [taylor]: Taking taylor expansion of re in im 2.625 * [backup-simplify]: Simplify re into re 2.625 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.625 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.625 * [backup-simplify]: Simplify (+ 1 0) into 1 2.626 * [backup-simplify]: Simplify (sqrt 1) into 1 2.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.629 * [taylor]: Taking taylor expansion of im in re 2.629 * [backup-simplify]: Simplify im into im 2.629 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.629 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.629 * [taylor]: Taking taylor expansion of re in re 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.629 * [backup-simplify]: Simplify (* 1 1) into 1 2.630 * [backup-simplify]: Simplify (/ 1 1) into 1 2.630 * [backup-simplify]: Simplify (+ 0 1) into 1 2.631 * [backup-simplify]: Simplify (sqrt 1) into 1 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (+ 0 0) into 0 2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.633 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.633 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.633 * [taylor]: Taking taylor expansion of im in re 2.633 * [backup-simplify]: Simplify im into im 2.633 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.634 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.634 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.634 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.634 * [taylor]: Taking taylor expansion of re in re 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (/ 1 1) into 1 2.635 * [backup-simplify]: Simplify (+ 0 1) into 1 2.635 * [backup-simplify]: Simplify (sqrt 1) into 1 2.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ 0 0) into 0 2.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.638 * [taylor]: Taking taylor expansion of 1 in im 2.638 * [backup-simplify]: Simplify 1 into 1 2.638 * [taylor]: Taking taylor expansion of 0 in im 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 1 into 1 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.647 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.647 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.647 * [taylor]: Taking taylor expansion of 1/2 in im 2.647 * [backup-simplify]: Simplify 1/2 into 1/2 2.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.647 * [taylor]: Taking taylor expansion of im in im 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (* 1 1) into 1 2.647 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.650 * [taylor]: Taking taylor expansion of 0 in im 2.650 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.652 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 2.652 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.652 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.652 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.652 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.652 * [taylor]: Taking taylor expansion of re in im 2.652 * [backup-simplify]: Simplify re into re 2.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.652 * [taylor]: Taking taylor expansion of im in im 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.652 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.652 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.652 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.652 * [backup-simplify]: Simplify (+ 0 0) into 0 2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.653 * [taylor]: Taking taylor expansion of re in re 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.653 * [taylor]: Taking taylor expansion of im in re 2.653 * [backup-simplify]: Simplify im into im 2.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.653 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.653 * [backup-simplify]: Simplify (+ 0 0) into 0 2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.653 * [taylor]: Taking taylor expansion of re in re 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 1 into 1 2.654 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.654 * [taylor]: Taking taylor expansion of im in re 2.654 * [backup-simplify]: Simplify im into im 2.654 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.654 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.654 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.654 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.654 * [taylor]: Taking taylor expansion of im in im 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [taylor]: Taking taylor expansion of 0 in im 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 1 into 1 2.655 * [backup-simplify]: Simplify (* 1 1) into 1 2.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.655 * [backup-simplify]: Simplify (+ 1 0) into 1 2.656 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.656 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.656 * [taylor]: Taking taylor expansion of 1/2 in im 2.656 * [backup-simplify]: Simplify 1/2 into 1/2 2.656 * [taylor]: Taking taylor expansion of im in im 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.658 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.658 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.658 * [taylor]: Taking taylor expansion of 0 in im 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.659 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.659 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.659 * [taylor]: Taking taylor expansion of im in im 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (* 1 1) into 1 2.660 * [backup-simplify]: Simplify (/ 1 1) into 1 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.660 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.660 * [taylor]: Taking taylor expansion of re in im 2.660 * [backup-simplify]: Simplify re into re 2.660 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.660 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.660 * [backup-simplify]: Simplify (+ 1 0) into 1 2.660 * [backup-simplify]: Simplify (sqrt 1) into 1 2.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (+ 0 0) into 0 2.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.662 * [taylor]: Taking taylor expansion of im in re 2.662 * [backup-simplify]: Simplify im into im 2.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.662 * [taylor]: Taking taylor expansion of re in re 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (/ 1 1) into 1 2.663 * [backup-simplify]: Simplify (+ 0 1) into 1 2.663 * [backup-simplify]: Simplify (sqrt 1) into 1 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.665 * [taylor]: Taking taylor expansion of im in re 2.665 * [backup-simplify]: Simplify im into im 2.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.665 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.665 * [taylor]: Taking taylor expansion of re in re 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (* 1 1) into 1 2.666 * [backup-simplify]: Simplify (/ 1 1) into 1 2.666 * [backup-simplify]: Simplify (+ 0 1) into 1 2.666 * [backup-simplify]: Simplify (sqrt 1) into 1 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (+ 0 0) into 0 2.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.668 * [taylor]: Taking taylor expansion of 1 in im 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [taylor]: Taking taylor expansion of 0 in im 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.670 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.670 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.670 * [taylor]: Taking taylor expansion of 1/2 in im 2.670 * [backup-simplify]: Simplify 1/2 into 1/2 2.670 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.670 * [taylor]: Taking taylor expansion of im in im 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.671 * [backup-simplify]: Simplify (* 1 1) into 1 2.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ 0 0) into 0 2.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.674 * [taylor]: Taking taylor expansion of 0 in im 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.676 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.676 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.676 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.676 * [taylor]: Taking taylor expansion of im in im 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.677 * [backup-simplify]: Simplify (* 1 1) into 1 2.677 * [backup-simplify]: Simplify (/ 1 1) into 1 2.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.677 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.677 * [taylor]: Taking taylor expansion of re in im 2.677 * [backup-simplify]: Simplify re into re 2.677 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.677 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.678 * [backup-simplify]: Simplify (+ 1 0) into 1 2.678 * [backup-simplify]: Simplify (sqrt 1) into 1 2.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.680 * [backup-simplify]: Simplify (+ 0 0) into 0 2.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.681 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.681 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.681 * [taylor]: Taking taylor expansion of im in re 2.681 * [backup-simplify]: Simplify im into im 2.681 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.681 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.681 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.681 * [taylor]: Taking taylor expansion of re in re 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.682 * [backup-simplify]: Simplify (* 1 1) into 1 2.682 * [backup-simplify]: Simplify (/ 1 1) into 1 2.682 * [backup-simplify]: Simplify (+ 0 1) into 1 2.683 * [backup-simplify]: Simplify (sqrt 1) into 1 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ 0 0) into 0 2.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.684 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.684 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.684 * [taylor]: Taking taylor expansion of im in re 2.684 * [backup-simplify]: Simplify im into im 2.684 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.684 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.685 * [taylor]: Taking taylor expansion of re in re 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (* 1 1) into 1 2.685 * [backup-simplify]: Simplify (/ 1 1) into 1 2.685 * [backup-simplify]: Simplify (+ 0 1) into 1 2.686 * [backup-simplify]: Simplify (sqrt 1) into 1 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.687 * [taylor]: Taking taylor expansion of 1 in im 2.687 * [backup-simplify]: Simplify 1 into 1 2.687 * [taylor]: Taking taylor expansion of 0 in im 2.687 * [backup-simplify]: Simplify 0 into 0 2.687 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.689 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.689 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.689 * [taylor]: Taking taylor expansion of 1/2 in im 2.689 * [backup-simplify]: Simplify 1/2 into 1/2 2.689 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.689 * [taylor]: Taking taylor expansion of im in im 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 1 into 1 2.690 * [backup-simplify]: Simplify (* 1 1) into 1 2.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.692 * [backup-simplify]: Simplify (+ 0 0) into 0 2.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.693 * [taylor]: Taking taylor expansion of 0 in im 2.693 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 2.694 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 2.695 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.695 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.695 * [taylor]: Taking taylor expansion of re in im 2.695 * [backup-simplify]: Simplify re into re 2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.695 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.695 * [taylor]: Taking taylor expansion of re in im 2.695 * [backup-simplify]: Simplify re into re 2.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.695 * [taylor]: Taking taylor expansion of im in im 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.695 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.695 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.695 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.695 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.695 * [taylor]: Taking taylor expansion of re in re 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.695 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.696 * [taylor]: Taking taylor expansion of re in re 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.696 * [taylor]: Taking taylor expansion of im in re 2.696 * [backup-simplify]: Simplify im into im 2.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.696 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.696 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.696 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.696 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.696 * [taylor]: Taking taylor expansion of re in re 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.696 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.696 * [taylor]: Taking taylor expansion of re in re 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.696 * [taylor]: Taking taylor expansion of im in re 2.696 * [backup-simplify]: Simplify im into im 2.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.697 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.697 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.697 * [backup-simplify]: Simplify (+ 0 im) into im 2.697 * [taylor]: Taking taylor expansion of im in im 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ 1 0) into 1 2.698 * [taylor]: Taking taylor expansion of 1 in im 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (* 1 1) into 1 2.698 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.698 * [backup-simplify]: Simplify (+ 1 0) into 1 2.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.699 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.699 * [taylor]: Taking taylor expansion of 1/2 in im 2.699 * [backup-simplify]: Simplify 1/2 into 1/2 2.699 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.699 * [taylor]: Taking taylor expansion of im in im 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (/ 1 1) into 1 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.701 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.702 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [taylor]: Taking taylor expansion of 0 in im 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.703 * [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))))) 2.704 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.704 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.704 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.704 * [taylor]: Taking taylor expansion of re in im 2.704 * [backup-simplify]: Simplify re into re 2.704 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.704 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.704 * [taylor]: Taking taylor expansion of im in im 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (/ 1 1) into 1 2.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.704 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.704 * [taylor]: Taking taylor expansion of re in im 2.704 * [backup-simplify]: Simplify re into re 2.704 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.704 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.705 * [backup-simplify]: Simplify (+ 1 0) into 1 2.705 * [backup-simplify]: Simplify (sqrt 1) into 1 2.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.707 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.707 * [taylor]: Taking taylor expansion of re in re 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (/ 1 1) into 1 2.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.707 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.707 * [taylor]: Taking taylor expansion of im in re 2.707 * [backup-simplify]: Simplify im into im 2.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.707 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.707 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.707 * [taylor]: Taking taylor expansion of re in re 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [backup-simplify]: Simplify (+ 0 1) into 1 2.708 * [backup-simplify]: Simplify (sqrt 1) into 1 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.710 * [taylor]: Taking taylor expansion of re in re 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.710 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.710 * [taylor]: Taking taylor expansion of im in re 2.710 * [backup-simplify]: Simplify im into im 2.710 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.711 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.711 * [taylor]: Taking taylor expansion of re in re 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (* 1 1) into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.712 * [backup-simplify]: Simplify (+ 0 1) into 1 2.712 * [backup-simplify]: Simplify (sqrt 1) into 1 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.715 * [backup-simplify]: Simplify (+ 1 1) into 2 2.715 * [taylor]: Taking taylor expansion of 2 in im 2.715 * [backup-simplify]: Simplify 2 into 2 2.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [taylor]: Taking taylor expansion of 0 in im 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 2 into 2 2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.721 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.721 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.721 * [taylor]: Taking taylor expansion of 1/2 in im 2.721 * [backup-simplify]: Simplify 1/2 into 1/2 2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.721 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.721 * [taylor]: Taking taylor expansion of im in im 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (* 1 1) into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.729 * [backup-simplify]: Simplify (+ 0 0) into 0 2.729 * [taylor]: Taking taylor expansion of 0 in im 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.733 * [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)) 2.734 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.734 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.734 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.734 * [taylor]: Taking taylor expansion of im in im 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.734 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.735 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.735 * [taylor]: Taking taylor expansion of re in im 2.735 * [backup-simplify]: Simplify re into re 2.735 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.735 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.735 * [backup-simplify]: Simplify (+ 1 0) into 1 2.736 * [backup-simplify]: Simplify (sqrt 1) into 1 2.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.738 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.738 * [taylor]: Taking taylor expansion of re in im 2.738 * [backup-simplify]: Simplify re into re 2.738 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.739 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.739 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.739 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.739 * [taylor]: Taking taylor expansion of im in re 2.739 * [backup-simplify]: Simplify im into im 2.739 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.739 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.739 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.739 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.739 * [taylor]: Taking taylor expansion of re in re 2.739 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [backup-simplify]: Simplify (+ 0 1) into 1 2.741 * [backup-simplify]: Simplify (sqrt 1) into 1 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.743 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.743 * [taylor]: Taking taylor expansion of re in re 2.743 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (/ 1 1) into 1 2.744 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.744 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.744 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.744 * [taylor]: Taking taylor expansion of im in re 2.744 * [backup-simplify]: Simplify im into im 2.744 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.744 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.744 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.744 * [taylor]: Taking taylor expansion of re in re 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (* 1 1) into 1 2.745 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [backup-simplify]: Simplify (+ 0 1) into 1 2.746 * [backup-simplify]: Simplify (sqrt 1) into 1 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.749 * [taylor]: Taking taylor expansion of re in re 2.749 * [backup-simplify]: Simplify 0 into 0 2.749 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (/ 1 1) into 1 2.750 * [backup-simplify]: Simplify (- 1) into -1 2.750 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.750 * [taylor]: Taking taylor expansion of 0 in im 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (- 0) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [taylor]: Taking taylor expansion of 0 in im 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.757 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.757 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.757 * [taylor]: Taking taylor expansion of 1/2 in im 2.757 * [backup-simplify]: Simplify 1/2 into 1/2 2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.757 * [taylor]: Taking taylor expansion of im in im 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.758 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.770 * [backup-simplify]: Simplify (+ 0 0) into 0 2.770 * [taylor]: Taking taylor expansion of 0 in im 2.770 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.773 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 2.773 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.773 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.773 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.774 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.774 * [taylor]: Taking taylor expansion of re in im 2.774 * [backup-simplify]: Simplify re into re 2.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.774 * [taylor]: Taking taylor expansion of im in im 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.774 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.774 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.774 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.775 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.775 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.775 * [taylor]: Taking taylor expansion of re in re 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.775 * [taylor]: Taking taylor expansion of im in re 2.775 * [backup-simplify]: Simplify im into im 2.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.775 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.775 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.775 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.776 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.776 * [taylor]: Taking taylor expansion of re in re 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.776 * [taylor]: Taking taylor expansion of im in re 2.776 * [backup-simplify]: Simplify im into im 2.776 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.776 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.776 * [taylor]: Taking taylor expansion of im in im 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [taylor]: Taking taylor expansion of 0 in im 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.777 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.777 * [backup-simplify]: Simplify (+ 1 0) into 1 2.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.778 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.778 * [taylor]: Taking taylor expansion of 1/2 in im 2.778 * [backup-simplify]: Simplify 1/2 into 1/2 2.778 * [taylor]: Taking taylor expansion of im in im 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.780 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.780 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.780 * [taylor]: Taking taylor expansion of 0 in im 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.781 * [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)))) 2.781 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.781 * [taylor]: Taking taylor expansion of im in im 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (/ 1 1) into 1 2.782 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.782 * [taylor]: Taking taylor expansion of re in im 2.782 * [backup-simplify]: Simplify re into re 2.782 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.782 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.782 * [backup-simplify]: Simplify (+ 1 0) into 1 2.782 * [backup-simplify]: Simplify (sqrt 1) into 1 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.784 * [taylor]: Taking taylor expansion of im in re 2.784 * [backup-simplify]: Simplify im into im 2.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.784 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.785 * [taylor]: Taking taylor expansion of re in re 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.785 * [backup-simplify]: Simplify (* 1 1) into 1 2.785 * [backup-simplify]: Simplify (/ 1 1) into 1 2.785 * [backup-simplify]: Simplify (+ 0 1) into 1 2.786 * [backup-simplify]: Simplify (sqrt 1) into 1 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.787 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.787 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.787 * [taylor]: Taking taylor expansion of im in re 2.787 * [backup-simplify]: Simplify im into im 2.787 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.787 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.787 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.787 * [taylor]: Taking taylor expansion of re in re 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [backup-simplify]: Simplify (+ 0 1) into 1 2.788 * [backup-simplify]: Simplify (sqrt 1) into 1 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.790 * [taylor]: Taking taylor expansion of 1 in im 2.790 * [backup-simplify]: Simplify 1 into 1 2.790 * [taylor]: Taking taylor expansion of 0 in im 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify 1 into 1 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.792 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.792 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.792 * [taylor]: Taking taylor expansion of 1/2 in im 2.792 * [backup-simplify]: Simplify 1/2 into 1/2 2.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.792 * [taylor]: Taking taylor expansion of im in im 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (+ 0 0) into 0 2.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.796 * [taylor]: Taking taylor expansion of 0 in im 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.797 * [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)))) 2.797 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.797 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.797 * [taylor]: Taking taylor expansion of im in im 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (* 1 1) into 1 2.798 * [backup-simplify]: Simplify (/ 1 1) into 1 2.798 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.798 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.798 * [taylor]: Taking taylor expansion of re in im 2.798 * [backup-simplify]: Simplify re into re 2.798 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.798 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.799 * [backup-simplify]: Simplify (sqrt 1) into 1 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (+ 0 0) into 0 2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.800 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.800 * [taylor]: Taking taylor expansion of im in re 2.800 * [backup-simplify]: Simplify im into im 2.800 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.800 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.800 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.800 * [taylor]: Taking taylor expansion of re in re 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [backup-simplify]: Simplify (* 1 1) into 1 2.801 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [backup-simplify]: Simplify (+ 0 1) into 1 2.802 * [backup-simplify]: Simplify (sqrt 1) into 1 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.804 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.804 * [taylor]: Taking taylor expansion of im in re 2.804 * [backup-simplify]: Simplify im into im 2.804 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.804 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.804 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.804 * [taylor]: Taking taylor expansion of re in re 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [backup-simplify]: Simplify (+ 0 1) into 1 2.806 * [backup-simplify]: Simplify (sqrt 1) into 1 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.808 * [taylor]: Taking taylor expansion of 1 in im 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [taylor]: Taking taylor expansion of 0 in im 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.810 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.810 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.810 * [taylor]: Taking taylor expansion of 1/2 in im 2.810 * [backup-simplify]: Simplify 1/2 into 1/2 2.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.810 * [taylor]: Taking taylor expansion of im in im 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.814 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.814 * [taylor]: Taking taylor expansion of 0 in im 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.815 * * * [progress]: simplifying candidates 2.817 * [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) 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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) (+ re im) (* 2 re) 0 im re (* -1 re) 2.820 * * [simplify]: Extracting # 0 : cost 0 2.821 * * [simplify]: Extracting # 1 : cost 0 2.821 * * [simplify]: Extracting # 2 : cost 0 2.821 * * [simplify]: Extracting # 3 : cost 0 2.821 * * [simplify]: Extracting # 4 : cost 0 2.821 * * [simplify]: Extracting # 5 : cost 0 2.821 * * [simplify]: Extracting # 6 : cost 0 2.822 * * [simplify]: Extracting # 7 : cost 0 2.822 * * [simplify]: iteration 0 : 133 enodes (cost 3041 ) 7.782 * * [simplify]: Extracting # 0 : cost 0 7.794 * * [simplify]: Extracting # 1 : cost 0 7.801 * * [simplify]: Extracting # 2 : cost 0 7.807 * * [simplify]: Extracting # 3 : cost 0 7.814 * * [simplify]: Extracting # 4 : cost 0 7.820 * * [simplify]: Extracting # 5 : cost 0 7.828 * * [simplify]: Extracting # 6 : cost 0 7.835 * * [simplify]: iteration done: 5000 enodes (cost 1787 ) 7.835 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* 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(sqrt (+ (* re re) (* im im))) re) (* 2 1/2) (+ 1/2 (/ 1 2)) 2 (* 2 (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) 1 (+ (/ (/ 1 2) 2) (/ 1/2 2)) (/ 1 2) (+ (* re re) (* im im)) (sqrt (+ (* re re) (* im im))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im)) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (+ (* re re) (* im im)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re)))))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (sqrt (sqrt (+ (* re (pow re 3)) (* (* im im) (- (* im im) (* re re))))))) (sqrt (- (* re (pow re 3)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (* (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 1) (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 (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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 (+ (* 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 (+ (* 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 (+ (* re re) (* im im)))) (* 2 1/2) 2 (* 2 (/ 1/2 2)) 1 (/ 1 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)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (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)))) (* (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 (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (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 (pow re 3)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* re (pow re 3)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (- re) im re (- re) (+ re im) (* 2 re) 0 im re (- re) 7.837 * * * [progress]: adding candidates to table 8.400 * * [progress]: iteration 3 / 4 8.400 * * * [progress]: picking best candidate 8.473 * * * * [pick]: Picked # 8.473 * * * [progress]: localizing error 8.489 * * * [progress]: generating rewritten candidates 8.489 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 8.497 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 8.513 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 8.555 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 8.608 * * * [progress]: generating series expansions 8.608 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 8.608 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 8.608 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 8.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.608 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.609 * [taylor]: Taking taylor expansion of re in im 8.609 * [backup-simplify]: Simplify re into re 8.609 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.609 * [taylor]: Taking taylor expansion of im in im 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.609 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.609 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.609 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.610 * [backup-simplify]: Simplify (+ 0 0) into 0 8.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.610 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.610 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.610 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.610 * [taylor]: Taking taylor expansion of re in re 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.610 * [taylor]: Taking taylor expansion of im in re 8.610 * [backup-simplify]: Simplify im into im 8.610 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.611 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.611 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.611 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.611 * [backup-simplify]: Simplify (+ 0 0) into 0 8.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.611 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.612 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.612 * [taylor]: Taking taylor expansion of re in re 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.612 * [taylor]: Taking taylor expansion of im in re 8.612 * [backup-simplify]: Simplify im into im 8.612 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.612 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.612 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.613 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.613 * [taylor]: Taking taylor expansion of im in im 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [taylor]: Taking taylor expansion of 0 in im 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.614 * [backup-simplify]: Simplify (* 1 1) into 1 8.614 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.614 * [backup-simplify]: Simplify (+ 1 0) into 1 8.615 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.615 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.615 * [taylor]: Taking taylor expansion of 1/2 in im 8.615 * [backup-simplify]: Simplify 1/2 into 1/2 8.615 * [taylor]: Taking taylor expansion of im in im 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.616 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.618 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.619 * [backup-simplify]: Simplify (+ 0 0) into 0 8.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.619 * [taylor]: Taking taylor expansion of 0 in im 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.621 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.621 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.621 * [taylor]: Taking taylor expansion of im in im 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify (* 1 1) into 1 8.622 * [backup-simplify]: Simplify (/ 1 1) into 1 8.622 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.622 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.622 * [taylor]: Taking taylor expansion of re in im 8.622 * [backup-simplify]: Simplify re into re 8.622 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.622 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.622 * [backup-simplify]: Simplify (+ 1 0) into 1 8.623 * [backup-simplify]: Simplify (sqrt 1) into 1 8.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.625 * [backup-simplify]: Simplify (+ 0 0) into 0 8.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.626 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.626 * [taylor]: Taking taylor expansion of im in re 8.626 * [backup-simplify]: Simplify im into im 8.626 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.626 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.626 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.626 * [taylor]: Taking taylor expansion of re in re 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (* 1 1) into 1 8.627 * [backup-simplify]: Simplify (/ 1 1) into 1 8.627 * [backup-simplify]: Simplify (+ 0 1) into 1 8.628 * [backup-simplify]: Simplify (sqrt 1) into 1 8.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.629 * [backup-simplify]: Simplify (+ 0 0) into 0 8.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.631 * [taylor]: Taking taylor expansion of im in re 8.631 * [backup-simplify]: Simplify im into im 8.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.631 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.631 * [taylor]: Taking taylor expansion of re in re 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 1 into 1 8.631 * [backup-simplify]: Simplify (* 1 1) into 1 8.632 * [backup-simplify]: Simplify (/ 1 1) into 1 8.632 * [backup-simplify]: Simplify (+ 0 1) into 1 8.633 * [backup-simplify]: Simplify (sqrt 1) into 1 8.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.634 * [backup-simplify]: Simplify (+ 0 0) into 0 8.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.635 * [taylor]: Taking taylor expansion of 1 in im 8.635 * [backup-simplify]: Simplify 1 into 1 8.635 * [taylor]: Taking taylor expansion of 0 in im 8.635 * [backup-simplify]: Simplify 0 into 0 8.635 * [backup-simplify]: Simplify 1 into 1 8.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.638 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.639 * [taylor]: Taking taylor expansion of 1/2 in im 8.639 * [backup-simplify]: Simplify 1/2 into 1/2 8.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.639 * [taylor]: Taking taylor expansion of im in im 8.639 * [backup-simplify]: Simplify 0 into 0 8.639 * [backup-simplify]: Simplify 1 into 1 8.640 * [backup-simplify]: Simplify (* 1 1) into 1 8.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.645 * [backup-simplify]: Simplify (+ 0 0) into 0 8.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.645 * [taylor]: Taking taylor expansion of 0 in im 8.645 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.648 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.648 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.648 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.648 * [taylor]: Taking taylor expansion of im in im 8.648 * [backup-simplify]: Simplify 0 into 0 8.648 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (* 1 1) into 1 8.649 * [backup-simplify]: Simplify (/ 1 1) into 1 8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.649 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.649 * [taylor]: Taking taylor expansion of re in im 8.649 * [backup-simplify]: Simplify re into re 8.649 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.649 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.650 * [backup-simplify]: Simplify (+ 1 0) into 1 8.650 * [backup-simplify]: Simplify (sqrt 1) into 1 8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 0) into 0 8.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.653 * [taylor]: Taking taylor expansion of im in re 8.653 * [backup-simplify]: Simplify im into im 8.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.653 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.653 * [taylor]: Taking taylor expansion of re in re 8.653 * [backup-simplify]: Simplify 0 into 0 8.653 * [backup-simplify]: Simplify 1 into 1 8.654 * [backup-simplify]: Simplify (* 1 1) into 1 8.654 * [backup-simplify]: Simplify (/ 1 1) into 1 8.655 * [backup-simplify]: Simplify (+ 0 1) into 1 8.655 * [backup-simplify]: Simplify (sqrt 1) into 1 8.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.657 * [backup-simplify]: Simplify (+ 0 0) into 0 8.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.658 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.658 * [taylor]: Taking taylor expansion of im in re 8.658 * [backup-simplify]: Simplify im into im 8.658 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.658 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.659 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.659 * [taylor]: Taking taylor expansion of re in re 8.659 * [backup-simplify]: Simplify 0 into 0 8.659 * [backup-simplify]: Simplify 1 into 1 8.659 * [backup-simplify]: Simplify (* 1 1) into 1 8.659 * [backup-simplify]: Simplify (/ 1 1) into 1 8.660 * [backup-simplify]: Simplify (+ 0 1) into 1 8.660 * [backup-simplify]: Simplify (sqrt 1) into 1 8.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.666 * [backup-simplify]: Simplify (+ 0 0) into 0 8.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.667 * [taylor]: Taking taylor expansion of 1 in im 8.667 * [backup-simplify]: Simplify 1 into 1 8.667 * [taylor]: Taking taylor expansion of 0 in im 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.670 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.671 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.671 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.671 * [taylor]: Taking taylor expansion of 1/2 in im 8.671 * [backup-simplify]: Simplify 1/2 into 1/2 8.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.671 * [taylor]: Taking taylor expansion of im in im 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.672 * [backup-simplify]: Simplify (* 1 1) into 1 8.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.674 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.676 * [backup-simplify]: Simplify (+ 0 0) into 0 8.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.676 * [taylor]: Taking taylor expansion of 0 in im 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.677 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.677 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 8.677 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 8.677 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 8.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.677 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.678 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.678 * [taylor]: Taking taylor expansion of re in im 8.678 * [backup-simplify]: Simplify re into re 8.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.678 * [taylor]: Taking taylor expansion of im in im 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.678 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.678 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.678 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.678 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.678 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.678 * [taylor]: Taking taylor expansion of re in re 8.678 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify 1 into 1 8.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.678 * [taylor]: Taking taylor expansion of im in re 8.678 * [backup-simplify]: Simplify im into im 8.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.679 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.679 * [backup-simplify]: Simplify (+ 0 0) into 0 8.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.679 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.679 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.679 * [taylor]: Taking taylor expansion of re in re 8.679 * [backup-simplify]: Simplify 0 into 0 8.679 * [backup-simplify]: Simplify 1 into 1 8.679 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.679 * [taylor]: Taking taylor expansion of im in re 8.679 * [backup-simplify]: Simplify im into im 8.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.679 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.680 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.680 * [backup-simplify]: Simplify (+ 0 0) into 0 8.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.680 * [taylor]: Taking taylor expansion of im in im 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify 1 into 1 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [taylor]: Taking taylor expansion of 0 in im 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify 0 into 0 8.680 * [backup-simplify]: Simplify 1 into 1 8.681 * [backup-simplify]: Simplify (* 1 1) into 1 8.681 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.681 * [backup-simplify]: Simplify (+ 1 0) into 1 8.682 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.682 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.682 * [taylor]: Taking taylor expansion of 1/2 in im 8.682 * [backup-simplify]: Simplify 1/2 into 1/2 8.682 * [taylor]: Taking taylor expansion of im in im 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.682 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.683 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.684 * [taylor]: Taking taylor expansion of 0 in im 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.685 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.685 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.685 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.685 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.685 * [taylor]: Taking taylor expansion of im in im 8.685 * [backup-simplify]: Simplify 0 into 0 8.685 * [backup-simplify]: Simplify 1 into 1 8.685 * [backup-simplify]: Simplify (* 1 1) into 1 8.685 * [backup-simplify]: Simplify (/ 1 1) into 1 8.685 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.685 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.685 * [taylor]: Taking taylor expansion of re in im 8.685 * [backup-simplify]: Simplify re into re 8.685 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.686 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.686 * [backup-simplify]: Simplify (+ 1 0) into 1 8.686 * [backup-simplify]: Simplify (sqrt 1) into 1 8.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.688 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.688 * [taylor]: Taking taylor expansion of im in re 8.688 * [backup-simplify]: Simplify im into im 8.688 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.688 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.688 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.688 * [taylor]: Taking taylor expansion of re in re 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.688 * [backup-simplify]: Simplify (* 1 1) into 1 8.688 * [backup-simplify]: Simplify (/ 1 1) into 1 8.689 * [backup-simplify]: Simplify (+ 0 1) into 1 8.689 * [backup-simplify]: Simplify (sqrt 1) into 1 8.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.690 * [backup-simplify]: Simplify (+ 0 0) into 0 8.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.690 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.690 * [taylor]: Taking taylor expansion of im in re 8.691 * [backup-simplify]: Simplify im into im 8.691 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.691 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.691 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.691 * [taylor]: Taking taylor expansion of re in re 8.691 * [backup-simplify]: Simplify 0 into 0 8.691 * [backup-simplify]: Simplify 1 into 1 8.691 * [backup-simplify]: Simplify (* 1 1) into 1 8.691 * [backup-simplify]: Simplify (/ 1 1) into 1 8.692 * [backup-simplify]: Simplify (+ 0 1) into 1 8.692 * [backup-simplify]: Simplify (sqrt 1) into 1 8.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify (+ 0 0) into 0 8.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.693 * [taylor]: Taking taylor expansion of 1 in im 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [taylor]: Taking taylor expansion of 0 in im 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.695 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.695 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.695 * [taylor]: Taking taylor expansion of 1/2 in im 8.695 * [backup-simplify]: Simplify 1/2 into 1/2 8.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.696 * [taylor]: Taking taylor expansion of im in im 8.696 * [backup-simplify]: Simplify 0 into 0 8.696 * [backup-simplify]: Simplify 1 into 1 8.696 * [backup-simplify]: Simplify (* 1 1) into 1 8.696 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.699 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.699 * [taylor]: Taking taylor expansion of 0 in im 8.699 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.701 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 8.701 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 8.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.701 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.701 * [taylor]: Taking taylor expansion of im in im 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 1 into 1 8.701 * [backup-simplify]: Simplify (* 1 1) into 1 8.701 * [backup-simplify]: Simplify (/ 1 1) into 1 8.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.701 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.701 * [taylor]: Taking taylor expansion of re in im 8.701 * [backup-simplify]: Simplify re into re 8.701 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.701 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.702 * [backup-simplify]: Simplify (+ 1 0) into 1 8.702 * [backup-simplify]: Simplify (sqrt 1) into 1 8.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (+ 0 0) into 0 8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.704 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.704 * [taylor]: Taking taylor expansion of im in re 8.704 * [backup-simplify]: Simplify im into im 8.704 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.705 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.705 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.705 * [taylor]: Taking taylor expansion of re in re 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (* 1 1) into 1 8.705 * [backup-simplify]: Simplify (/ 1 1) into 1 8.706 * [backup-simplify]: Simplify (+ 0 1) into 1 8.706 * [backup-simplify]: Simplify (sqrt 1) into 1 8.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.709 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.709 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.709 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.709 * [taylor]: Taking taylor expansion of im in re 8.709 * [backup-simplify]: Simplify im into im 8.709 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.709 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.709 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.709 * [taylor]: Taking taylor expansion of re in re 8.709 * [backup-simplify]: Simplify 0 into 0 8.709 * [backup-simplify]: Simplify 1 into 1 8.709 * [backup-simplify]: Simplify (* 1 1) into 1 8.710 * [backup-simplify]: Simplify (/ 1 1) into 1 8.710 * [backup-simplify]: Simplify (+ 0 1) into 1 8.711 * [backup-simplify]: Simplify (sqrt 1) into 1 8.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify (+ 0 0) into 0 8.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.713 * [taylor]: Taking taylor expansion of 1 in im 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [taylor]: Taking taylor expansion of 0 in im 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.715 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.716 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.716 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.717 * [taylor]: Taking taylor expansion of 1/2 in im 8.717 * [backup-simplify]: Simplify 1/2 into 1/2 8.717 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.717 * [taylor]: Taking taylor expansion of im in im 8.717 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (* 1 1) into 1 8.717 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify 0 into 0 8.719 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (+ 0 0) into 0 8.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.722 * [taylor]: Taking taylor expansion of 0 in im 8.722 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify 0 into 0 8.724 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.725 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 8.725 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 8.725 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 8.725 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.725 * [taylor]: Taking taylor expansion of re in im 8.725 * [backup-simplify]: Simplify re into re 8.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.725 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.725 * [taylor]: Taking taylor expansion of re in im 8.725 * [backup-simplify]: Simplify re into re 8.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.725 * [taylor]: Taking taylor expansion of im in im 8.725 * [backup-simplify]: Simplify 0 into 0 8.725 * [backup-simplify]: Simplify 1 into 1 8.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.725 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.726 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.726 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.726 * [backup-simplify]: Simplify (+ 0 0) into 0 8.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.726 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.726 * [taylor]: Taking taylor expansion of re in re 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.727 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.727 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.727 * [taylor]: Taking taylor expansion of re in re 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 1 into 1 8.727 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.727 * [taylor]: Taking taylor expansion of im in re 8.727 * [backup-simplify]: Simplify im into im 8.727 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.727 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.727 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.728 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.728 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.728 * [taylor]: Taking taylor expansion of re in re 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 1 into 1 8.728 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.728 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.728 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.728 * [taylor]: Taking taylor expansion of re in re 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 1 into 1 8.728 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.728 * [taylor]: Taking taylor expansion of im in re 8.728 * [backup-simplify]: Simplify im into im 8.728 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.729 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.729 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.729 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.729 * [backup-simplify]: Simplify (+ 0 im) into im 8.729 * [taylor]: Taking taylor expansion of im in im 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (+ 1 0) into 1 8.730 * [taylor]: Taking taylor expansion of 1 in im 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify 1 into 1 8.730 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (* 1 1) into 1 8.731 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.732 * [backup-simplify]: Simplify (+ 1 0) into 1 8.733 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.733 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 8.733 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.733 * [taylor]: Taking taylor expansion of 1/2 in im 8.733 * [backup-simplify]: Simplify 1/2 into 1/2 8.733 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.733 * [taylor]: Taking taylor expansion of im in im 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ 1 1) into 1 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.735 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 0 into 0 8.735 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.737 * [taylor]: Taking taylor expansion of 0 in im 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify 0 into 0 8.740 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.740 * [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))))) 8.740 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 8.740 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.740 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.740 * [taylor]: Taking taylor expansion of re in im 8.740 * [backup-simplify]: Simplify re into re 8.740 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.741 * [taylor]: Taking taylor expansion of im in im 8.741 * [backup-simplify]: Simplify 0 into 0 8.741 * [backup-simplify]: Simplify 1 into 1 8.741 * [backup-simplify]: Simplify (* 1 1) into 1 8.742 * [backup-simplify]: Simplify (/ 1 1) into 1 8.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.742 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.742 * [taylor]: Taking taylor expansion of re in im 8.742 * [backup-simplify]: Simplify re into re 8.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.742 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.742 * [backup-simplify]: Simplify (+ 1 0) into 1 8.743 * [backup-simplify]: Simplify (sqrt 1) into 1 8.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.745 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.745 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.745 * [taylor]: Taking taylor expansion of re in re 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (/ 1 1) into 1 8.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.746 * [taylor]: Taking taylor expansion of im in re 8.746 * [backup-simplify]: Simplify im into im 8.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.746 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.746 * [taylor]: Taking taylor expansion of re in re 8.746 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify 1 into 1 8.747 * [backup-simplify]: Simplify (* 1 1) into 1 8.747 * [backup-simplify]: Simplify (/ 1 1) into 1 8.747 * [backup-simplify]: Simplify (+ 0 1) into 1 8.747 * [backup-simplify]: Simplify (sqrt 1) into 1 8.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.749 * [backup-simplify]: Simplify (+ 0 0) into 0 8.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.749 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.749 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.749 * [taylor]: Taking taylor expansion of re in re 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [backup-simplify]: Simplify (/ 1 1) into 1 8.749 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.749 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.749 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.749 * [taylor]: Taking taylor expansion of im in re 8.749 * [backup-simplify]: Simplify im into im 8.749 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.750 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.750 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.750 * [taylor]: Taking taylor expansion of re in re 8.750 * [backup-simplify]: Simplify 0 into 0 8.750 * [backup-simplify]: Simplify 1 into 1 8.750 * [backup-simplify]: Simplify (* 1 1) into 1 8.750 * [backup-simplify]: Simplify (/ 1 1) into 1 8.750 * [backup-simplify]: Simplify (+ 0 1) into 1 8.751 * [backup-simplify]: Simplify (sqrt 1) into 1 8.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (+ 0 0) into 0 8.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.752 * [backup-simplify]: Simplify (+ 1 1) into 2 8.753 * [taylor]: Taking taylor expansion of 2 in im 8.753 * [backup-simplify]: Simplify 2 into 2 8.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify (+ 0 0) into 0 8.753 * [taylor]: Taking taylor expansion of 0 in im 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 2 into 2 8.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.755 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.756 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.756 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.756 * [taylor]: Taking taylor expansion of 1/2 in im 8.756 * [backup-simplify]: Simplify 1/2 into 1/2 8.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.756 * [taylor]: Taking taylor expansion of im in im 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (* 1 1) into 1 8.757 * [backup-simplify]: Simplify (/ 1 1) into 1 8.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.759 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.760 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [taylor]: Taking taylor expansion of 0 in im 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 8.763 * [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)) 8.763 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 8.763 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.763 * [taylor]: Taking taylor expansion of im in im 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.763 * [backup-simplify]: Simplify (* 1 1) into 1 8.764 * [backup-simplify]: Simplify (/ 1 1) into 1 8.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.764 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.764 * [taylor]: Taking taylor expansion of re in im 8.764 * [backup-simplify]: Simplify re into re 8.764 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.764 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.764 * [backup-simplify]: Simplify (+ 1 0) into 1 8.765 * [backup-simplify]: Simplify (sqrt 1) into 1 8.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.766 * [backup-simplify]: Simplify (+ 0 0) into 0 8.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.767 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.767 * [taylor]: Taking taylor expansion of re in im 8.767 * [backup-simplify]: Simplify re into re 8.767 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.767 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.767 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.767 * [taylor]: Taking taylor expansion of im in re 8.767 * [backup-simplify]: Simplify im into im 8.767 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.767 * [taylor]: Taking taylor expansion of re in re 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.768 * [backup-simplify]: Simplify (* 1 1) into 1 8.768 * [backup-simplify]: Simplify (/ 1 1) into 1 8.768 * [backup-simplify]: Simplify (+ 0 1) into 1 8.769 * [backup-simplify]: Simplify (sqrt 1) into 1 8.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.770 * [taylor]: Taking taylor expansion of re in re 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (/ 1 1) into 1 8.771 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.771 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.771 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.771 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.771 * [taylor]: Taking taylor expansion of im in re 8.771 * [backup-simplify]: Simplify im into im 8.771 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.771 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.771 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.771 * [taylor]: Taking taylor expansion of re in re 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (* 1 1) into 1 8.772 * [backup-simplify]: Simplify (/ 1 1) into 1 8.772 * [backup-simplify]: Simplify (+ 0 1) into 1 8.772 * [backup-simplify]: Simplify (sqrt 1) into 1 8.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.773 * [backup-simplify]: Simplify (+ 0 0) into 0 8.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.774 * [taylor]: Taking taylor expansion of re in re 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 1 into 1 8.774 * [backup-simplify]: Simplify (/ 1 1) into 1 8.774 * [backup-simplify]: Simplify (- 1) into -1 8.775 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.775 * [taylor]: Taking taylor expansion of 0 in im 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.775 * [backup-simplify]: Simplify (- 0) into 0 8.776 * [backup-simplify]: Simplify (+ 0 0) into 0 8.776 * [taylor]: Taking taylor expansion of 0 in im 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.778 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.778 * [backup-simplify]: Simplify (- 0) into 0 8.779 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.779 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.779 * [taylor]: Taking taylor expansion of 1/2 in im 8.779 * [backup-simplify]: Simplify 1/2 into 1/2 8.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.779 * [taylor]: Taking taylor expansion of im in im 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify 1 into 1 8.779 * [backup-simplify]: Simplify (* 1 1) into 1 8.779 * [backup-simplify]: Simplify (/ 1 1) into 1 8.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (+ 0 0) into 0 8.786 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.787 * [backup-simplify]: Simplify (- 0) into 0 8.788 * [backup-simplify]: Simplify (+ 0 0) into 0 8.788 * [taylor]: Taking taylor expansion of 0 in im 8.788 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 8.791 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 8.791 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 8.791 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 8.791 * [taylor]: Taking taylor expansion of re in im 8.791 * [backup-simplify]: Simplify re into re 8.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 8.791 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 8.791 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.791 * [taylor]: Taking taylor expansion of re in im 8.791 * [backup-simplify]: Simplify re into re 8.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.791 * [taylor]: Taking taylor expansion of im in im 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 1 into 1 8.792 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.792 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.792 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.792 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.792 * [backup-simplify]: Simplify (+ 0 0) into 0 8.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.793 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.793 * [taylor]: Taking taylor expansion of re in re 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 1 into 1 8.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.793 * [taylor]: Taking taylor expansion of re in re 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify 1 into 1 8.793 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.793 * [taylor]: Taking taylor expansion of im in re 8.793 * [backup-simplify]: Simplify im into im 8.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.793 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.793 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.794 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.794 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 8.794 * [taylor]: Taking taylor expansion of re in re 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 8.794 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 8.794 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.794 * [taylor]: Taking taylor expansion of re in re 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.794 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.794 * [taylor]: Taking taylor expansion of im in re 8.794 * [backup-simplify]: Simplify im into im 8.795 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.795 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.795 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.795 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.795 * [backup-simplify]: Simplify (+ 0 0) into 0 8.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.796 * [backup-simplify]: Simplify (+ 0 im) into im 8.796 * [taylor]: Taking taylor expansion of im in im 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify (+ 1 0) into 1 8.796 * [taylor]: Taking taylor expansion of 1 in im 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (* 1 1) into 1 8.797 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.798 * [backup-simplify]: Simplify (+ 1 0) into 1 8.798 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.799 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 8.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.799 * [taylor]: Taking taylor expansion of 1/2 in im 8.799 * [backup-simplify]: Simplify 1/2 into 1/2 8.799 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.799 * [taylor]: Taking taylor expansion of im in im 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (/ 1 1) into 1 8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.803 * [taylor]: Taking taylor expansion of 0 in im 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify 0 into 0 8.805 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.806 * [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))))) 8.806 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 8.806 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 8.806 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.806 * [taylor]: Taking taylor expansion of re in im 8.806 * [backup-simplify]: Simplify re into re 8.806 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.806 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.806 * [taylor]: Taking taylor expansion of im in im 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify 1 into 1 8.807 * [backup-simplify]: Simplify (* 1 1) into 1 8.807 * [backup-simplify]: Simplify (/ 1 1) into 1 8.807 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.807 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.807 * [taylor]: Taking taylor expansion of re in im 8.807 * [backup-simplify]: Simplify re into re 8.807 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.808 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.808 * [backup-simplify]: Simplify (+ 1 0) into 1 8.808 * [backup-simplify]: Simplify (sqrt 1) into 1 8.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.811 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.811 * [taylor]: Taking taylor expansion of re in re 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (/ 1 1) into 1 8.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.812 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.812 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.812 * [taylor]: Taking taylor expansion of im in re 8.812 * [backup-simplify]: Simplify im into im 8.812 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.812 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.812 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.812 * [taylor]: Taking taylor expansion of re in re 8.812 * [backup-simplify]: Simplify 0 into 0 8.812 * [backup-simplify]: Simplify 1 into 1 8.812 * [backup-simplify]: Simplify (* 1 1) into 1 8.813 * [backup-simplify]: Simplify (/ 1 1) into 1 8.813 * [backup-simplify]: Simplify (+ 0 1) into 1 8.814 * [backup-simplify]: Simplify (sqrt 1) into 1 8.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.816 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 8.816 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.816 * [taylor]: Taking taylor expansion of re in re 8.816 * [backup-simplify]: Simplify 0 into 0 8.816 * [backup-simplify]: Simplify 1 into 1 8.817 * [backup-simplify]: Simplify (/ 1 1) into 1 8.817 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.817 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.817 * [taylor]: Taking taylor expansion of im in re 8.817 * [backup-simplify]: Simplify im into im 8.817 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.817 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.817 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.817 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.817 * [taylor]: Taking taylor expansion of re in re 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 1 into 1 8.818 * [backup-simplify]: Simplify (* 1 1) into 1 8.818 * [backup-simplify]: Simplify (/ 1 1) into 1 8.818 * [backup-simplify]: Simplify (+ 0 1) into 1 8.819 * [backup-simplify]: Simplify (sqrt 1) into 1 8.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.821 * [backup-simplify]: Simplify (+ 0 0) into 0 8.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.822 * [backup-simplify]: Simplify (+ 1 1) into 2 8.822 * [taylor]: Taking taylor expansion of 2 in im 8.822 * [backup-simplify]: Simplify 2 into 2 8.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.823 * [backup-simplify]: Simplify (+ 0 0) into 0 8.823 * [taylor]: Taking taylor expansion of 0 in im 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify 2 into 2 8.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.826 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.827 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.828 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.828 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.828 * [taylor]: Taking taylor expansion of 1/2 in im 8.828 * [backup-simplify]: Simplify 1/2 into 1/2 8.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.828 * [taylor]: Taking taylor expansion of im in im 8.828 * [backup-simplify]: Simplify 0 into 0 8.828 * [backup-simplify]: Simplify 1 into 1 8.828 * [backup-simplify]: Simplify (* 1 1) into 1 8.829 * [backup-simplify]: Simplify (/ 1 1) into 1 8.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.831 * [backup-simplify]: Simplify 0 into 0 8.831 * [backup-simplify]: Simplify 0 into 0 8.831 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.832 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (+ 0 0) into 0 8.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.835 * [backup-simplify]: Simplify (+ 0 0) into 0 8.835 * [taylor]: Taking taylor expansion of 0 in im 8.835 * [backup-simplify]: Simplify 0 into 0 8.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 8.837 * [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)) 8.837 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 8.837 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 8.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 8.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 8.838 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.838 * [taylor]: Taking taylor expansion of im in im 8.838 * [backup-simplify]: Simplify 0 into 0 8.838 * [backup-simplify]: Simplify 1 into 1 8.838 * [backup-simplify]: Simplify (* 1 1) into 1 8.838 * [backup-simplify]: Simplify (/ 1 1) into 1 8.838 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.838 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.838 * [taylor]: Taking taylor expansion of re in im 8.838 * [backup-simplify]: Simplify re into re 8.838 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.838 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.839 * [backup-simplify]: Simplify (+ 1 0) into 1 8.839 * [backup-simplify]: Simplify (sqrt 1) into 1 8.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (+ 0 0) into 0 8.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.840 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.840 * [taylor]: Taking taylor expansion of re in im 8.840 * [backup-simplify]: Simplify re into re 8.840 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.841 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.841 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.841 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.841 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.841 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.841 * [taylor]: Taking taylor expansion of im in re 8.841 * [backup-simplify]: Simplify im into im 8.841 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.841 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.841 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.841 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.841 * [taylor]: Taking taylor expansion of re in re 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 1 into 1 8.841 * [backup-simplify]: Simplify (* 1 1) into 1 8.841 * [backup-simplify]: Simplify (/ 1 1) into 1 8.842 * [backup-simplify]: Simplify (+ 0 1) into 1 8.842 * [backup-simplify]: Simplify (sqrt 1) into 1 8.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.843 * [backup-simplify]: Simplify (+ 0 0) into 0 8.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.843 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.843 * [taylor]: Taking taylor expansion of re in re 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (/ 1 1) into 1 8.844 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 8.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 8.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.844 * [taylor]: Taking taylor expansion of im in re 8.844 * [backup-simplify]: Simplify im into im 8.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.844 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.844 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.844 * [taylor]: Taking taylor expansion of re in re 8.844 * [backup-simplify]: Simplify 0 into 0 8.844 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (* 1 1) into 1 8.845 * [backup-simplify]: Simplify (/ 1 1) into 1 8.845 * [backup-simplify]: Simplify (+ 0 1) into 1 8.845 * [backup-simplify]: Simplify (sqrt 1) into 1 8.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.846 * [backup-simplify]: Simplify (+ 0 0) into 0 8.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.847 * [taylor]: Taking taylor expansion of re in re 8.847 * [backup-simplify]: Simplify 0 into 0 8.847 * [backup-simplify]: Simplify 1 into 1 8.847 * [backup-simplify]: Simplify (/ 1 1) into 1 8.847 * [backup-simplify]: Simplify (- 1) into -1 8.847 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.847 * [taylor]: Taking taylor expansion of 0 in im 8.847 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.848 * [backup-simplify]: Simplify (- 0) into 0 8.848 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [taylor]: Taking taylor expansion of 0 in im 8.848 * [backup-simplify]: Simplify 0 into 0 8.848 * [backup-simplify]: Simplify 0 into 0 8.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 8.850 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (- 0) into 0 8.851 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.851 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.851 * [taylor]: Taking taylor expansion of 1/2 in im 8.851 * [backup-simplify]: Simplify 1/2 into 1/2 8.851 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.851 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.851 * [taylor]: Taking taylor expansion of im in im 8.851 * [backup-simplify]: Simplify 0 into 0 8.851 * [backup-simplify]: Simplify 1 into 1 8.852 * [backup-simplify]: Simplify (* 1 1) into 1 8.852 * [backup-simplify]: Simplify (/ 1 1) into 1 8.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.853 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.855 * [backup-simplify]: Simplify (+ 0 0) into 0 8.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.856 * [backup-simplify]: Simplify (- 0) into 0 8.856 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [taylor]: Taking taylor expansion of 0 in im 8.856 * [backup-simplify]: Simplify 0 into 0 8.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.858 * * * [progress]: simplifying candidates 8.859 * [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 (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 8.860 * * [simplify]: Extracting # 0 : cost 0 8.860 * * [simplify]: Extracting # 1 : cost 0 8.860 * * [simplify]: Extracting # 2 : cost 0 8.860 * * [simplify]: Extracting # 3 : cost 0 8.860 * * [simplify]: Extracting # 4 : cost 0 8.860 * * [simplify]: Extracting # 5 : cost 0 8.860 * * [simplify]: Extracting # 6 : cost 0 8.860 * * [simplify]: iteration 0 : 59 enodes (cost 858 ) 8.901 * * [simplify]: Extracting # 0 : cost 0 8.901 * * [simplify]: Extracting # 1 : cost 0 8.902 * * [simplify]: Extracting # 2 : cost 0 8.902 * * [simplify]: Extracting # 3 : cost 0 8.902 * * [simplify]: Extracting # 4 : cost 0 8.902 * * [simplify]: iteration 1 : 255 enodes (cost 738 ) 9.178 * * [simplify]: Extracting # 0 : cost 0 9.180 * * [simplify]: Extracting # 1 : cost 0 9.182 * * [simplify]: Extracting # 2 : cost 0 9.185 * * [simplify]: Extracting # 3 : cost 0 9.187 * * [simplify]: Extracting # 4 : cost 0 9.189 * * [simplify]: Extracting # 5 : cost 0 9.191 * * [simplify]: iteration 2 : 1216 enodes (cost 686 ) 10.991 * * [simplify]: Extracting # 0 : cost 0 11.012 * * [simplify]: Extracting # 1 : cost 0 11.019 * * [simplify]: Extracting # 2 : cost 0 11.025 * * [simplify]: Extracting # 3 : cost 0 11.031 * * [simplify]: Extracting # 4 : cost 0 11.037 * * [simplify]: Extracting # 5 : cost 0 11.044 * * [simplify]: iteration done: 5000 enodes (cost 670 ) 11.044 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im (- (* im im) (* re re))) im) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) 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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im (- (* im im) (* re re))) im) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) 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))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))) (- (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re))) (- (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (- re) im re (- re) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 11.045 * * * [progress]: adding candidates to table 11.397 * * [progress]: iteration 4 / 4 11.397 * * * [progress]: picking best candidate 11.454 * * * * [pick]: Picked # 11.455 * * * [progress]: localizing error 11.482 * * * [progress]: generating rewritten candidates 11.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 11.493 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 11.510 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 11.526 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1) 11.554 * * * [progress]: generating series expansions 11.554 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 11.554 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 11.554 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 11.554 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.554 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.554 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.554 * [taylor]: Taking taylor expansion of re in im 11.554 * [backup-simplify]: Simplify re into re 11.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.554 * [taylor]: Taking taylor expansion of im in im 11.554 * [backup-simplify]: Simplify 0 into 0 11.554 * [backup-simplify]: Simplify 1 into 1 11.554 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.555 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.555 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.555 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.556 * [backup-simplify]: Simplify (+ 0 0) into 0 11.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.556 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.556 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.556 * [taylor]: Taking taylor expansion of re in re 11.556 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify 1 into 1 11.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.556 * [taylor]: Taking taylor expansion of im in re 11.556 * [backup-simplify]: Simplify im into im 11.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.556 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.556 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.557 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.557 * [backup-simplify]: Simplify (+ 0 0) into 0 11.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.557 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.557 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.557 * [taylor]: Taking taylor expansion of re in re 11.557 * [backup-simplify]: Simplify 0 into 0 11.557 * [backup-simplify]: Simplify 1 into 1 11.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.557 * [taylor]: Taking taylor expansion of im in re 11.558 * [backup-simplify]: Simplify im into im 11.558 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.558 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.558 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.559 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.559 * [backup-simplify]: Simplify (+ 0 0) into 0 11.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.559 * [taylor]: Taking taylor expansion of im in im 11.559 * [backup-simplify]: Simplify 0 into 0 11.559 * [backup-simplify]: Simplify 1 into 1 11.559 * [backup-simplify]: Simplify 0 into 0 11.560 * [taylor]: Taking taylor expansion of 0 in im 11.560 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify 0 into 0 11.560 * [backup-simplify]: Simplify 1 into 1 11.560 * [backup-simplify]: Simplify (* 1 1) into 1 11.561 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.561 * [backup-simplify]: Simplify (+ 1 0) into 1 11.562 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.562 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.562 * [taylor]: Taking taylor expansion of 1/2 in im 11.562 * [backup-simplify]: Simplify 1/2 into 1/2 11.562 * [taylor]: Taking taylor expansion of im in im 11.562 * [backup-simplify]: Simplify 0 into 0 11.562 * [backup-simplify]: Simplify 1 into 1 11.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify 0 into 0 11.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.565 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.565 * [backup-simplify]: Simplify (+ 0 0) into 0 11.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.566 * [taylor]: Taking taylor expansion of 0 in im 11.566 * [backup-simplify]: Simplify 0 into 0 11.566 * [backup-simplify]: Simplify 0 into 0 11.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.567 * [backup-simplify]: Simplify 0 into 0 11.567 * [backup-simplify]: Simplify 0 into 0 11.567 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.567 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.567 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.567 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.568 * [taylor]: Taking taylor expansion of im in im 11.568 * [backup-simplify]: Simplify 0 into 0 11.568 * [backup-simplify]: Simplify 1 into 1 11.568 * [backup-simplify]: Simplify (* 1 1) into 1 11.568 * [backup-simplify]: Simplify (/ 1 1) into 1 11.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.568 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.568 * [taylor]: Taking taylor expansion of re in im 11.568 * [backup-simplify]: Simplify re into re 11.569 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.569 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.569 * [backup-simplify]: Simplify (+ 1 0) into 1 11.570 * [backup-simplify]: Simplify (sqrt 1) into 1 11.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.571 * [backup-simplify]: Simplify (+ 0 0) into 0 11.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.572 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.572 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.572 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.572 * [taylor]: Taking taylor expansion of im in re 11.572 * [backup-simplify]: Simplify im into im 11.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.573 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.573 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.573 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.573 * [taylor]: Taking taylor expansion of re in re 11.573 * [backup-simplify]: Simplify 0 into 0 11.573 * [backup-simplify]: Simplify 1 into 1 11.573 * [backup-simplify]: Simplify (* 1 1) into 1 11.574 * [backup-simplify]: Simplify (/ 1 1) into 1 11.574 * [backup-simplify]: Simplify (+ 0 1) into 1 11.574 * [backup-simplify]: Simplify (sqrt 1) into 1 11.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.576 * [backup-simplify]: Simplify (+ 0 0) into 0 11.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.577 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.577 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.577 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.577 * [taylor]: Taking taylor expansion of im in re 11.577 * [backup-simplify]: Simplify im into im 11.577 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.577 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.577 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.578 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.578 * [taylor]: Taking taylor expansion of re in re 11.578 * [backup-simplify]: Simplify 0 into 0 11.578 * [backup-simplify]: Simplify 1 into 1 11.578 * [backup-simplify]: Simplify (* 1 1) into 1 11.579 * [backup-simplify]: Simplify (/ 1 1) into 1 11.579 * [backup-simplify]: Simplify (+ 0 1) into 1 11.580 * [backup-simplify]: Simplify (sqrt 1) into 1 11.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.581 * [backup-simplify]: Simplify (+ 0 0) into 0 11.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.582 * [taylor]: Taking taylor expansion of 1 in im 11.582 * [backup-simplify]: Simplify 1 into 1 11.582 * [taylor]: Taking taylor expansion of 0 in im 11.582 * [backup-simplify]: Simplify 0 into 0 11.582 * [backup-simplify]: Simplify 1 into 1 11.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.585 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.586 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.586 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.586 * [taylor]: Taking taylor expansion of 1/2 in im 11.586 * [backup-simplify]: Simplify 1/2 into 1/2 11.586 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.586 * [taylor]: Taking taylor expansion of im in im 11.586 * [backup-simplify]: Simplify 0 into 0 11.586 * [backup-simplify]: Simplify 1 into 1 11.587 * [backup-simplify]: Simplify (* 1 1) into 1 11.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.589 * [backup-simplify]: Simplify 0 into 0 11.589 * [backup-simplify]: Simplify 0 into 0 11.589 * [backup-simplify]: Simplify 0 into 0 11.589 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.591 * [backup-simplify]: Simplify (+ 0 0) into 0 11.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.592 * [taylor]: Taking taylor expansion of 0 in im 11.592 * [backup-simplify]: Simplify 0 into 0 11.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.594 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.595 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.595 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.595 * [taylor]: Taking taylor expansion of im in im 11.595 * [backup-simplify]: Simplify 0 into 0 11.595 * [backup-simplify]: Simplify 1 into 1 11.595 * [backup-simplify]: Simplify (* 1 1) into 1 11.595 * [backup-simplify]: Simplify (/ 1 1) into 1 11.595 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.595 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.595 * [taylor]: Taking taylor expansion of re in im 11.595 * [backup-simplify]: Simplify re into re 11.595 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.596 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.596 * [backup-simplify]: Simplify (+ 1 0) into 1 11.596 * [backup-simplify]: Simplify (sqrt 1) into 1 11.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.597 * [backup-simplify]: Simplify (+ 0 0) into 0 11.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.598 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.598 * [taylor]: Taking taylor expansion of im in re 11.598 * [backup-simplify]: Simplify im into im 11.598 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.598 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.598 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.598 * [taylor]: Taking taylor expansion of re in re 11.598 * [backup-simplify]: Simplify 0 into 0 11.598 * [backup-simplify]: Simplify 1 into 1 11.598 * [backup-simplify]: Simplify (* 1 1) into 1 11.598 * [backup-simplify]: Simplify (/ 1 1) into 1 11.599 * [backup-simplify]: Simplify (+ 0 1) into 1 11.599 * [backup-simplify]: Simplify (sqrt 1) into 1 11.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.600 * [backup-simplify]: Simplify (+ 0 0) into 0 11.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.601 * [taylor]: Taking taylor expansion of im in re 11.601 * [backup-simplify]: Simplify im into im 11.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.601 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.601 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.601 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.601 * [taylor]: Taking taylor expansion of re in re 11.601 * [backup-simplify]: Simplify 0 into 0 11.601 * [backup-simplify]: Simplify 1 into 1 11.601 * [backup-simplify]: Simplify (* 1 1) into 1 11.601 * [backup-simplify]: Simplify (/ 1 1) into 1 11.602 * [backup-simplify]: Simplify (+ 0 1) into 1 11.602 * [backup-simplify]: Simplify (sqrt 1) into 1 11.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.603 * [backup-simplify]: Simplify (+ 0 0) into 0 11.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.603 * [taylor]: Taking taylor expansion of 1 in im 11.603 * [backup-simplify]: Simplify 1 into 1 11.603 * [taylor]: Taking taylor expansion of 0 in im 11.604 * [backup-simplify]: Simplify 0 into 0 11.604 * [backup-simplify]: Simplify 1 into 1 11.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.605 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.606 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.606 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.606 * [taylor]: Taking taylor expansion of 1/2 in im 11.606 * [backup-simplify]: Simplify 1/2 into 1/2 11.606 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.606 * [taylor]: Taking taylor expansion of im in im 11.606 * [backup-simplify]: Simplify 0 into 0 11.606 * [backup-simplify]: Simplify 1 into 1 11.606 * [backup-simplify]: Simplify (* 1 1) into 1 11.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.609 * [backup-simplify]: Simplify (+ 0 0) into 0 11.609 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.609 * [taylor]: Taking taylor expansion of 0 in im 11.609 * [backup-simplify]: Simplify 0 into 0 11.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.611 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 11.611 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 11.611 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 11.611 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.611 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.611 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.611 * [taylor]: Taking taylor expansion of re in im 11.611 * [backup-simplify]: Simplify re into re 11.611 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.611 * [taylor]: Taking taylor expansion of im in im 11.611 * [backup-simplify]: Simplify 0 into 0 11.611 * [backup-simplify]: Simplify 1 into 1 11.611 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.611 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.611 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.611 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.612 * [backup-simplify]: Simplify (+ 0 0) into 0 11.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.612 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.612 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.612 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.612 * [taylor]: Taking taylor expansion of re in re 11.612 * [backup-simplify]: Simplify 0 into 0 11.612 * [backup-simplify]: Simplify 1 into 1 11.612 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.612 * [taylor]: Taking taylor expansion of im in re 11.612 * [backup-simplify]: Simplify im into im 11.612 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.612 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.612 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.612 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.613 * [backup-simplify]: Simplify (+ 0 0) into 0 11.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.613 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.613 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.613 * [taylor]: Taking taylor expansion of re in re 11.613 * [backup-simplify]: Simplify 0 into 0 11.613 * [backup-simplify]: Simplify 1 into 1 11.613 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.613 * [taylor]: Taking taylor expansion of im in re 11.613 * [backup-simplify]: Simplify im into im 11.613 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.613 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.613 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.613 * [backup-simplify]: Simplify (+ 0 0) into 0 11.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.614 * [taylor]: Taking taylor expansion of im in im 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [taylor]: Taking taylor expansion of 0 in im 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.614 * [backup-simplify]: Simplify (* 1 1) into 1 11.614 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.615 * [backup-simplify]: Simplify (+ 1 0) into 1 11.615 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.615 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.615 * [taylor]: Taking taylor expansion of 1/2 in im 11.615 * [backup-simplify]: Simplify 1/2 into 1/2 11.615 * [taylor]: Taking taylor expansion of im in im 11.615 * [backup-simplify]: Simplify 0 into 0 11.615 * [backup-simplify]: Simplify 1 into 1 11.615 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify 0 into 0 11.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.617 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.617 * [backup-simplify]: Simplify (+ 0 0) into 0 11.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.617 * [taylor]: Taking taylor expansion of 0 in im 11.617 * [backup-simplify]: Simplify 0 into 0 11.617 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.618 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.618 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.618 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.618 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.618 * [taylor]: Taking taylor expansion of im in im 11.618 * [backup-simplify]: Simplify 0 into 0 11.618 * [backup-simplify]: Simplify 1 into 1 11.619 * [backup-simplify]: Simplify (* 1 1) into 1 11.619 * [backup-simplify]: Simplify (/ 1 1) into 1 11.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.619 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.619 * [taylor]: Taking taylor expansion of re in im 11.619 * [backup-simplify]: Simplify re into re 11.619 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.619 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.619 * [backup-simplify]: Simplify (+ 1 0) into 1 11.620 * [backup-simplify]: Simplify (sqrt 1) into 1 11.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.621 * [backup-simplify]: Simplify (+ 0 0) into 0 11.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.621 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.621 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.621 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.621 * [taylor]: Taking taylor expansion of im in re 11.621 * [backup-simplify]: Simplify im into im 11.621 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.621 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.621 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.621 * [taylor]: Taking taylor expansion of re in re 11.621 * [backup-simplify]: Simplify 0 into 0 11.622 * [backup-simplify]: Simplify 1 into 1 11.622 * [backup-simplify]: Simplify (* 1 1) into 1 11.622 * [backup-simplify]: Simplify (/ 1 1) into 1 11.622 * [backup-simplify]: Simplify (+ 0 1) into 1 11.623 * [backup-simplify]: Simplify (sqrt 1) into 1 11.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.624 * [backup-simplify]: Simplify (+ 0 0) into 0 11.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.624 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.624 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.624 * [taylor]: Taking taylor expansion of im in re 11.624 * [backup-simplify]: Simplify im into im 11.624 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.624 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.624 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.624 * [taylor]: Taking taylor expansion of re in re 11.624 * [backup-simplify]: Simplify 0 into 0 11.624 * [backup-simplify]: Simplify 1 into 1 11.625 * [backup-simplify]: Simplify (* 1 1) into 1 11.625 * [backup-simplify]: Simplify (/ 1 1) into 1 11.625 * [backup-simplify]: Simplify (+ 0 1) into 1 11.625 * [backup-simplify]: Simplify (sqrt 1) into 1 11.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.626 * [backup-simplify]: Simplify (+ 0 0) into 0 11.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.627 * [taylor]: Taking taylor expansion of 1 in im 11.627 * [backup-simplify]: Simplify 1 into 1 11.627 * [taylor]: Taking taylor expansion of 0 in im 11.627 * [backup-simplify]: Simplify 0 into 0 11.627 * [backup-simplify]: Simplify 1 into 1 11.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.628 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.629 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.629 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.629 * [taylor]: Taking taylor expansion of 1/2 in im 11.629 * [backup-simplify]: Simplify 1/2 into 1/2 11.629 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.629 * [taylor]: Taking taylor expansion of im in im 11.629 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify 1 into 1 11.630 * [backup-simplify]: Simplify (* 1 1) into 1 11.630 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify 0 into 0 11.631 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.633 * [backup-simplify]: Simplify (+ 0 0) into 0 11.633 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.633 * [taylor]: Taking taylor expansion of 0 in im 11.633 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.635 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.635 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.635 * [taylor]: Taking taylor expansion of im in im 11.635 * [backup-simplify]: Simplify 0 into 0 11.635 * [backup-simplify]: Simplify 1 into 1 11.635 * [backup-simplify]: Simplify (* 1 1) into 1 11.635 * [backup-simplify]: Simplify (/ 1 1) into 1 11.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.635 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.635 * [taylor]: Taking taylor expansion of re in im 11.635 * [backup-simplify]: Simplify re into re 11.635 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.635 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.636 * [backup-simplify]: Simplify (+ 1 0) into 1 11.636 * [backup-simplify]: Simplify (sqrt 1) into 1 11.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.637 * [backup-simplify]: Simplify (+ 0 0) into 0 11.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.638 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.638 * [taylor]: Taking taylor expansion of im in re 11.638 * [backup-simplify]: Simplify im into im 11.638 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.638 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.638 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.638 * [taylor]: Taking taylor expansion of re in re 11.638 * [backup-simplify]: Simplify 0 into 0 11.638 * [backup-simplify]: Simplify 1 into 1 11.638 * [backup-simplify]: Simplify (* 1 1) into 1 11.639 * [backup-simplify]: Simplify (/ 1 1) into 1 11.639 * [backup-simplify]: Simplify (+ 0 1) into 1 11.639 * [backup-simplify]: Simplify (sqrt 1) into 1 11.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.640 * [backup-simplify]: Simplify (+ 0 0) into 0 11.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.641 * [taylor]: Taking taylor expansion of im in re 11.641 * [backup-simplify]: Simplify im into im 11.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.641 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.641 * [taylor]: Taking taylor expansion of re in re 11.641 * [backup-simplify]: Simplify 0 into 0 11.641 * [backup-simplify]: Simplify 1 into 1 11.641 * [backup-simplify]: Simplify (* 1 1) into 1 11.642 * [backup-simplify]: Simplify (/ 1 1) into 1 11.642 * [backup-simplify]: Simplify (+ 0 1) into 1 11.642 * [backup-simplify]: Simplify (sqrt 1) into 1 11.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.643 * [backup-simplify]: Simplify (+ 0 0) into 0 11.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.644 * [taylor]: Taking taylor expansion of 1 in im 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [taylor]: Taking taylor expansion of 0 in im 11.644 * [backup-simplify]: Simplify 0 into 0 11.644 * [backup-simplify]: Simplify 1 into 1 11.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.645 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.646 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.646 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.646 * [taylor]: Taking taylor expansion of 1/2 in im 11.646 * [backup-simplify]: Simplify 1/2 into 1/2 11.646 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.646 * [taylor]: Taking taylor expansion of im in im 11.646 * [backup-simplify]: Simplify 0 into 0 11.646 * [backup-simplify]: Simplify 1 into 1 11.646 * [backup-simplify]: Simplify (* 1 1) into 1 11.646 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [backup-simplify]: Simplify 0 into 0 11.647 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.649 * [backup-simplify]: Simplify (+ 0 0) into 0 11.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.650 * [taylor]: Taking taylor expansion of 0 in im 11.650 * [backup-simplify]: Simplify 0 into 0 11.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.651 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 11.651 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 11.651 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 11.651 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.651 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.651 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.651 * [taylor]: Taking taylor expansion of re in im 11.651 * [backup-simplify]: Simplify re into re 11.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.651 * [taylor]: Taking taylor expansion of im in im 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify 1 into 1 11.651 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.652 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.652 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.652 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.652 * [backup-simplify]: Simplify (+ 0 0) into 0 11.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.652 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.652 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.652 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.652 * [taylor]: Taking taylor expansion of re in re 11.652 * [backup-simplify]: Simplify 0 into 0 11.652 * [backup-simplify]: Simplify 1 into 1 11.652 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.652 * [taylor]: Taking taylor expansion of im in re 11.652 * [backup-simplify]: Simplify im into im 11.652 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.652 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.653 * [backup-simplify]: Simplify (+ 0 0) into 0 11.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.653 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.653 * [taylor]: Taking taylor expansion of re in re 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 1 into 1 11.653 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.653 * [taylor]: Taking taylor expansion of im in re 11.653 * [backup-simplify]: Simplify im into im 11.653 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.653 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.653 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.653 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.654 * [backup-simplify]: Simplify (+ 0 0) into 0 11.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.654 * [taylor]: Taking taylor expansion of im in im 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify 1 into 1 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [taylor]: Taking taylor expansion of 0 in im 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify 0 into 0 11.654 * [backup-simplify]: Simplify 1 into 1 11.654 * [backup-simplify]: Simplify (* 1 1) into 1 11.655 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.655 * [backup-simplify]: Simplify (+ 1 0) into 1 11.655 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.655 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.656 * [taylor]: Taking taylor expansion of 1/2 in im 11.656 * [backup-simplify]: Simplify 1/2 into 1/2 11.656 * [taylor]: Taking taylor expansion of im in im 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 1 into 1 11.656 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 0 into 0 11.656 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.657 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.658 * [backup-simplify]: Simplify (+ 0 0) into 0 11.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.658 * [taylor]: Taking taylor expansion of 0 in im 11.658 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.658 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.659 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.659 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.659 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.659 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.659 * [taylor]: Taking taylor expansion of im in im 11.659 * [backup-simplify]: Simplify 0 into 0 11.659 * [backup-simplify]: Simplify 1 into 1 11.659 * [backup-simplify]: Simplify (* 1 1) into 1 11.659 * [backup-simplify]: Simplify (/ 1 1) into 1 11.659 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.659 * [taylor]: Taking taylor expansion of re in im 11.659 * [backup-simplify]: Simplify re into re 11.660 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.660 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.660 * [backup-simplify]: Simplify (+ 1 0) into 1 11.660 * [backup-simplify]: Simplify (sqrt 1) into 1 11.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.661 * [backup-simplify]: Simplify (+ 0 0) into 0 11.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.662 * [taylor]: Taking taylor expansion of im in re 11.662 * [backup-simplify]: Simplify im into im 11.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.662 * [taylor]: Taking taylor expansion of re in re 11.662 * [backup-simplify]: Simplify 0 into 0 11.662 * [backup-simplify]: Simplify 1 into 1 11.663 * [backup-simplify]: Simplify (* 1 1) into 1 11.663 * [backup-simplify]: Simplify (/ 1 1) into 1 11.663 * [backup-simplify]: Simplify (+ 0 1) into 1 11.663 * [backup-simplify]: Simplify (sqrt 1) into 1 11.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.665 * [backup-simplify]: Simplify (+ 0 0) into 0 11.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.665 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.665 * [taylor]: Taking taylor expansion of im in re 11.665 * [backup-simplify]: Simplify im into im 11.665 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.665 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.665 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.665 * [taylor]: Taking taylor expansion of re in re 11.665 * [backup-simplify]: Simplify 0 into 0 11.665 * [backup-simplify]: Simplify 1 into 1 11.669 * [backup-simplify]: Simplify (* 1 1) into 1 11.670 * [backup-simplify]: Simplify (/ 1 1) into 1 11.670 * [backup-simplify]: Simplify (+ 0 1) into 1 11.671 * [backup-simplify]: Simplify (sqrt 1) into 1 11.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.672 * [backup-simplify]: Simplify (+ 0 0) into 0 11.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.672 * [taylor]: Taking taylor expansion of 1 in im 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [taylor]: Taking taylor expansion of 0 in im 11.673 * [backup-simplify]: Simplify 0 into 0 11.673 * [backup-simplify]: Simplify 1 into 1 11.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.674 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.675 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.675 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.675 * [taylor]: Taking taylor expansion of 1/2 in im 11.675 * [backup-simplify]: Simplify 1/2 into 1/2 11.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.675 * [taylor]: Taking taylor expansion of im in im 11.675 * [backup-simplify]: Simplify 0 into 0 11.675 * [backup-simplify]: Simplify 1 into 1 11.675 * [backup-simplify]: Simplify (* 1 1) into 1 11.675 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.676 * [backup-simplify]: Simplify 0 into 0 11.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.678 * [backup-simplify]: Simplify (+ 0 0) into 0 11.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.679 * [taylor]: Taking taylor expansion of 0 in im 11.679 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.680 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.680 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.680 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.680 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.680 * [taylor]: Taking taylor expansion of im in im 11.680 * [backup-simplify]: Simplify 0 into 0 11.680 * [backup-simplify]: Simplify 1 into 1 11.681 * [backup-simplify]: Simplify (* 1 1) into 1 11.681 * [backup-simplify]: Simplify (/ 1 1) into 1 11.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.681 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.681 * [taylor]: Taking taylor expansion of re in im 11.681 * [backup-simplify]: Simplify re into re 11.681 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.681 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.681 * [backup-simplify]: Simplify (+ 1 0) into 1 11.682 * [backup-simplify]: Simplify (sqrt 1) into 1 11.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.683 * [backup-simplify]: Simplify (+ 0 0) into 0 11.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.683 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.683 * [taylor]: Taking taylor expansion of im in re 11.683 * [backup-simplify]: Simplify im into im 11.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.683 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.683 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.683 * [taylor]: Taking taylor expansion of re in re 11.683 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify 1 into 1 11.684 * [backup-simplify]: Simplify (* 1 1) into 1 11.684 * [backup-simplify]: Simplify (/ 1 1) into 1 11.684 * [backup-simplify]: Simplify (+ 0 1) into 1 11.684 * [backup-simplify]: Simplify (sqrt 1) into 1 11.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.686 * [backup-simplify]: Simplify (+ 0 0) into 0 11.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.686 * [taylor]: Taking taylor expansion of im in re 11.686 * [backup-simplify]: Simplify im into im 11.686 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.686 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.686 * [taylor]: Taking taylor expansion of re in re 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 1 into 1 11.687 * [backup-simplify]: Simplify (* 1 1) into 1 11.687 * [backup-simplify]: Simplify (/ 1 1) into 1 11.687 * [backup-simplify]: Simplify (+ 0 1) into 1 11.687 * [backup-simplify]: Simplify (sqrt 1) into 1 11.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.688 * [backup-simplify]: Simplify (+ 0 0) into 0 11.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.689 * [taylor]: Taking taylor expansion of 1 in im 11.689 * [backup-simplify]: Simplify 1 into 1 11.689 * [taylor]: Taking taylor expansion of 0 in im 11.689 * [backup-simplify]: Simplify 0 into 0 11.689 * [backup-simplify]: Simplify 1 into 1 11.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.691 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.691 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.691 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.692 * [taylor]: Taking taylor expansion of 1/2 in im 11.692 * [backup-simplify]: Simplify 1/2 into 1/2 11.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.692 * [taylor]: Taking taylor expansion of im in im 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 1 into 1 11.692 * [backup-simplify]: Simplify (* 1 1) into 1 11.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify 0 into 0 11.693 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.693 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.695 * [backup-simplify]: Simplify (+ 0 0) into 0 11.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.695 * [taylor]: Taking taylor expansion of 0 in im 11.695 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.696 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.697 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1) 11.697 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 11.697 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 11.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 11.697 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 11.697 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.697 * [taylor]: Taking taylor expansion of re in im 11.697 * [backup-simplify]: Simplify re into re 11.697 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.697 * [taylor]: Taking taylor expansion of im in im 11.697 * [backup-simplify]: Simplify 0 into 0 11.697 * [backup-simplify]: Simplify 1 into 1 11.697 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.697 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 11.697 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 11.697 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 11.698 * [backup-simplify]: Simplify (+ 0 0) into 0 11.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 11.698 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.698 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.698 * [taylor]: Taking taylor expansion of re in re 11.698 * [backup-simplify]: Simplify 0 into 0 11.698 * [backup-simplify]: Simplify 1 into 1 11.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.698 * [taylor]: Taking taylor expansion of im in re 11.698 * [backup-simplify]: Simplify im into im 11.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.698 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.698 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.698 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.699 * [backup-simplify]: Simplify (+ 0 0) into 0 11.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.699 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 11.699 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 11.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.699 * [taylor]: Taking taylor expansion of re in re 11.699 * [backup-simplify]: Simplify 0 into 0 11.699 * [backup-simplify]: Simplify 1 into 1 11.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.699 * [taylor]: Taking taylor expansion of im in re 11.699 * [backup-simplify]: Simplify im into im 11.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.699 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 11.699 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 11.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.700 * [backup-simplify]: Simplify (+ 0 0) into 0 11.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 11.700 * [taylor]: Taking taylor expansion of im in im 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 1 into 1 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [taylor]: Taking taylor expansion of 0 in im 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 0 into 0 11.700 * [backup-simplify]: Simplify 1 into 1 11.701 * [backup-simplify]: Simplify (* 1 1) into 1 11.701 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 11.702 * [backup-simplify]: Simplify (+ 1 0) into 1 11.703 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 11.703 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 11.703 * [taylor]: Taking taylor expansion of 1/2 in im 11.703 * [backup-simplify]: Simplify 1/2 into 1/2 11.703 * [taylor]: Taking taylor expansion of im in im 11.703 * [backup-simplify]: Simplify 0 into 0 11.703 * [backup-simplify]: Simplify 1 into 1 11.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.706 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 11.706 * [backup-simplify]: Simplify (+ 0 0) into 0 11.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 11.707 * [taylor]: Taking taylor expansion of 0 in im 11.707 * [backup-simplify]: Simplify 0 into 0 11.707 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.708 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 11.708 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.708 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.708 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.708 * [taylor]: Taking taylor expansion of im in im 11.708 * [backup-simplify]: Simplify 0 into 0 11.708 * [backup-simplify]: Simplify 1 into 1 11.709 * [backup-simplify]: Simplify (* 1 1) into 1 11.709 * [backup-simplify]: Simplify (/ 1 1) into 1 11.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.709 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.709 * [taylor]: Taking taylor expansion of re in im 11.709 * [backup-simplify]: Simplify re into re 11.710 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.710 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.710 * [backup-simplify]: Simplify (+ 1 0) into 1 11.711 * [backup-simplify]: Simplify (sqrt 1) into 1 11.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.712 * [backup-simplify]: Simplify (+ 0 0) into 0 11.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.713 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.713 * [taylor]: Taking taylor expansion of im in re 11.713 * [backup-simplify]: Simplify im into im 11.713 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.714 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.714 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.714 * [taylor]: Taking taylor expansion of re in re 11.714 * [backup-simplify]: Simplify 0 into 0 11.714 * [backup-simplify]: Simplify 1 into 1 11.714 * [backup-simplify]: Simplify (* 1 1) into 1 11.715 * [backup-simplify]: Simplify (/ 1 1) into 1 11.715 * [backup-simplify]: Simplify (+ 0 1) into 1 11.715 * [backup-simplify]: Simplify (sqrt 1) into 1 11.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.717 * [backup-simplify]: Simplify (+ 0 0) into 0 11.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.718 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.718 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.718 * [taylor]: Taking taylor expansion of im in re 11.718 * [backup-simplify]: Simplify im into im 11.718 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.719 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.719 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.719 * [taylor]: Taking taylor expansion of re in re 11.719 * [backup-simplify]: Simplify 0 into 0 11.719 * [backup-simplify]: Simplify 1 into 1 11.719 * [backup-simplify]: Simplify (* 1 1) into 1 11.720 * [backup-simplify]: Simplify (/ 1 1) into 1 11.720 * [backup-simplify]: Simplify (+ 0 1) into 1 11.720 * [backup-simplify]: Simplify (sqrt 1) into 1 11.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.722 * [backup-simplify]: Simplify (+ 0 0) into 0 11.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.723 * [taylor]: Taking taylor expansion of 1 in im 11.723 * [backup-simplify]: Simplify 1 into 1 11.723 * [taylor]: Taking taylor expansion of 0 in im 11.723 * [backup-simplify]: Simplify 0 into 0 11.723 * [backup-simplify]: Simplify 1 into 1 11.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.724 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.725 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.725 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.725 * [taylor]: Taking taylor expansion of 1/2 in im 11.725 * [backup-simplify]: Simplify 1/2 into 1/2 11.725 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.725 * [taylor]: Taking taylor expansion of im in im 11.725 * [backup-simplify]: Simplify 0 into 0 11.725 * [backup-simplify]: Simplify 1 into 1 11.725 * [backup-simplify]: Simplify (* 1 1) into 1 11.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify 0 into 0 11.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.728 * [backup-simplify]: Simplify (+ 0 0) into 0 11.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.729 * [taylor]: Taking taylor expansion of 0 in im 11.729 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 11.730 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 11.730 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 11.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 11.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 11.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 11.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.730 * [taylor]: Taking taylor expansion of im in im 11.730 * [backup-simplify]: Simplify 0 into 0 11.730 * [backup-simplify]: Simplify 1 into 1 11.731 * [backup-simplify]: Simplify (* 1 1) into 1 11.731 * [backup-simplify]: Simplify (/ 1 1) into 1 11.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 11.731 * [taylor]: Taking taylor expansion of (pow re 2) in im 11.731 * [taylor]: Taking taylor expansion of re in im 11.731 * [backup-simplify]: Simplify re into re 11.731 * [backup-simplify]: Simplify (* re re) into (pow re 2) 11.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 11.731 * [backup-simplify]: Simplify (+ 1 0) into 1 11.732 * [backup-simplify]: Simplify (sqrt 1) into 1 11.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.733 * [backup-simplify]: Simplify (+ 0 0) into 0 11.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.733 * [taylor]: Taking taylor expansion of im in re 11.733 * [backup-simplify]: Simplify im into im 11.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.734 * [taylor]: Taking taylor expansion of re in re 11.734 * [backup-simplify]: Simplify 0 into 0 11.734 * [backup-simplify]: Simplify 1 into 1 11.734 * [backup-simplify]: Simplify (* 1 1) into 1 11.734 * [backup-simplify]: Simplify (/ 1 1) into 1 11.734 * [backup-simplify]: Simplify (+ 0 1) into 1 11.735 * [backup-simplify]: Simplify (sqrt 1) into 1 11.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.736 * [backup-simplify]: Simplify (+ 0 0) into 0 11.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 11.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 11.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 11.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 11.736 * [taylor]: Taking taylor expansion of im in re 11.736 * [backup-simplify]: Simplify im into im 11.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 11.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 11.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 11.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 11.737 * [taylor]: Taking taylor expansion of re in re 11.737 * [backup-simplify]: Simplify 0 into 0 11.737 * [backup-simplify]: Simplify 1 into 1 11.737 * [backup-simplify]: Simplify (* 1 1) into 1 11.737 * [backup-simplify]: Simplify (/ 1 1) into 1 11.737 * [backup-simplify]: Simplify (+ 0 1) into 1 11.738 * [backup-simplify]: Simplify (sqrt 1) into 1 11.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.739 * [backup-simplify]: Simplify (+ 0 0) into 0 11.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 11.739 * [taylor]: Taking taylor expansion of 1 in im 11.739 * [backup-simplify]: Simplify 1 into 1 11.739 * [taylor]: Taking taylor expansion of 0 in im 11.739 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify 1 into 1 11.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.741 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 11.742 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 11.742 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 11.742 * [taylor]: Taking taylor expansion of 1/2 in im 11.742 * [backup-simplify]: Simplify 1/2 into 1/2 11.742 * [taylor]: Taking taylor expansion of (pow im 2) in im 11.742 * [taylor]: Taking taylor expansion of im in im 11.742 * [backup-simplify]: Simplify 0 into 0 11.742 * [backup-simplify]: Simplify 1 into 1 11.742 * [backup-simplify]: Simplify (* 1 1) into 1 11.742 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 11.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify 0 into 0 11.743 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 11.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (+ 0 0) into 0 11.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 11.745 * [taylor]: Taking taylor expansion of 0 in im 11.745 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify 0 into 0 11.747 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 11.747 * * * [progress]: simplifying candidates 11.749 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (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)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 11.751 * * [simplify]: Extracting # 0 : cost 0 11.751 * * [simplify]: Extracting # 1 : cost 0 11.751 * * [simplify]: Extracting # 2 : cost 0 11.752 * * [simplify]: Extracting # 3 : cost 0 11.752 * * [simplify]: Extracting # 4 : cost 0 11.752 * * [simplify]: Extracting # 5 : cost 0 11.752 * * [simplify]: Extracting # 6 : cost 0 11.752 * * [simplify]: iteration 0 : 38 enodes (cost 852 ) 11.774 * * [simplify]: Extracting # 0 : cost 0 11.774 * * [simplify]: Extracting # 1 : cost 0 11.775 * * [simplify]: Extracting # 2 : cost 0 11.775 * * [simplify]: Extracting # 3 : cost 0 11.775 * * [simplify]: Extracting # 4 : cost 0 11.775 * * [simplify]: iteration 1 : 170 enodes (cost 744 ) 11.912 * * [simplify]: Extracting # 0 : cost 0 11.912 * * [simplify]: Extracting # 1 : cost 0 11.913 * * [simplify]: Extracting # 2 : cost 0 11.914 * * [simplify]: Extracting # 3 : cost 0 11.914 * * [simplify]: Extracting # 4 : cost 0 11.915 * * [simplify]: iteration 2 : 626 enodes (cost 680 ) 13.150 * * [simplify]: Extracting # 0 : cost 0 13.155 * * [simplify]: Extracting # 1 : cost 0 13.158 * * [simplify]: Extracting # 2 : cost 0 13.160 * * [simplify]: Extracting # 3 : cost 0 13.162 * * [simplify]: Extracting # 4 : cost 0 13.164 * * [simplify]: Extracting # 5 : cost 0 13.167 * * [simplify]: iteration 3 : 2817 enodes (cost 680 ) 14.841 * * [simplify]: Extracting # 0 : cost 0 14.850 * * [simplify]: Extracting # 1 : cost 0 14.862 * * [simplify]: Extracting # 2 : cost 0 14.871 * * [simplify]: Extracting # 3 : cost 0 14.880 * * [simplify]: Extracting # 4 : cost 0 14.890 * * [simplify]: iteration done: 5000 enodes (cost 680 ) 14.891 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) 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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) 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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) 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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (pow re 3) re))) (sqrt (- (* (pow re 3) re) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 14.892 * * * [progress]: adding candidates to table 15.347 * [progress]: [Phase 3 of 3] Extracting. 15.347 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 15.356 * * * [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) 15.356 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # # # #) 15.427 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # # #) 15.527 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # # # # #) 15.624 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # #) 15.659 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # # # # #) 15.742 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# #) 15.760 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # # # # #) 15.880 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# #) 15.925 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # # # # # #) 16.029 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# #) 16.071 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # # #) 16.239 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # # #) 16.369 * * * [regime]: Found split indices: #