12.064 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.057 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.059 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.060 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.064 * * * * [pick]: Picked # 0.064 * * * [progress]: localizing error 0.076 * * * [progress]: generating rewritten candidates 0.076 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.084 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.145 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.195 * * * [progress]: generating series expansions 0.195 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.195 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.195 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.195 * [backup-simplify]: Simplify re into re 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.196 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.196 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.196 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.196 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.197 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.197 * [taylor]: Taking taylor expansion of re in re 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.197 * [backup-simplify]: Simplify im into im 0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.197 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.198 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.198 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.198 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.199 * [backup-simplify]: Simplify im into im 0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.199 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.199 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [taylor]: Taking taylor expansion of 0 in im 0.200 * [backup-simplify]: Simplify 0 into 0 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.201 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.202 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.202 * [taylor]: Taking taylor expansion of 1/2 in im 0.202 * [backup-simplify]: Simplify 1/2 into 1/2 0.202 * [taylor]: Taking taylor expansion of im in im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.207 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.207 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [backup-simplify]: Simplify re into re 0.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [backup-simplify]: Simplify im into im 0.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.210 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ 0 1) into 1 0.211 * [backup-simplify]: Simplify (sqrt 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.213 * [taylor]: Taking taylor expansion of im in re 0.213 * [backup-simplify]: Simplify im into im 0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.213 * [taylor]: Taking taylor expansion of re in re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [backup-simplify]: Simplify (sqrt 1) into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.216 * [taylor]: Taking taylor expansion of 1 in im 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of 0 in im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.221 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.222 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.222 * [taylor]: Taking taylor expansion of 1/2 in im 0.222 * [backup-simplify]: Simplify 1/2 into 1/2 0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (+ (* im 0) (* 0 im)) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in im 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.227 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.227 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.227 * [taylor]: Taking taylor expansion of im in im 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.228 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.228 * [taylor]: Taking taylor expansion of re in im 0.228 * [backup-simplify]: Simplify re into re 0.228 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.228 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (sqrt 1) into 1 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.230 * [taylor]: Taking taylor expansion of im in re 0.230 * [backup-simplify]: Simplify im into im 0.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.230 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.230 * [taylor]: Taking taylor expansion of re in re 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (+ 0 1) into 1 0.231 * [backup-simplify]: Simplify (sqrt 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.233 * [taylor]: Taking taylor expansion of im in re 0.233 * [backup-simplify]: Simplify im into im 0.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.233 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.233 * [taylor]: Taking taylor expansion of re in re 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [backup-simplify]: Simplify (sqrt 1) into 1 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.236 * [taylor]: Taking taylor expansion of 1 in im 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [taylor]: Taking taylor expansion of 0 in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.239 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.239 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.239 * [taylor]: Taking taylor expansion of 1/2 in im 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.239 * [taylor]: Taking taylor expansion of im in im 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.244 * [taylor]: Taking taylor expansion of 0 in im 0.244 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.247 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.247 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.247 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.247 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.247 * [backup-simplify]: Simplify re into re 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.247 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.247 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.247 * [taylor]: Taking taylor expansion of re in im 0.247 * [backup-simplify]: Simplify re into re 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in 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 (* re re) into (pow re 2) 0.248 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.248 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.248 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.248 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.249 * [taylor]: Taking taylor expansion of re in re 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.249 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.249 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.249 * [taylor]: Taking taylor expansion of re in re 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.249 * [taylor]: Taking taylor expansion of im in re 0.249 * [backup-simplify]: Simplify im into im 0.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.249 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.249 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.250 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.250 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.250 * [taylor]: Taking taylor expansion of im in re 0.250 * [backup-simplify]: Simplify im into im 0.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.250 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.251 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 im) into im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [taylor]: Taking taylor expansion of 1 in im 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.254 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.254 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.254 * [taylor]: Taking taylor expansion of 1/2 in im 0.254 * [backup-simplify]: Simplify 1/2 into 1/2 0.254 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.261 * [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))))) 0.261 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.261 * [taylor]: Taking taylor expansion of re in im 0.261 * [backup-simplify]: Simplify re into re 0.261 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.262 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.262 * [taylor]: Taking taylor expansion of re in im 0.262 * [backup-simplify]: Simplify re into re 0.262 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [backup-simplify]: Simplify im into im 0.266 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [backup-simplify]: Simplify (+ 0 1) into 1 0.268 * [backup-simplify]: Simplify (sqrt 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.270 * [taylor]: Taking taylor expansion of im in re 0.271 * [backup-simplify]: Simplify im into im 0.271 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (sqrt 1) into 1 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.275 * [backup-simplify]: Simplify (+ 1 1) into 2 0.275 * [taylor]: Taking taylor expansion of 2 in im 0.275 * [backup-simplify]: Simplify 2 into 2 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 2 into 2 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.280 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.280 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.280 * [taylor]: Taking taylor expansion of 1/2 in im 0.281 * [backup-simplify]: Simplify 1/2 into 1/2 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.281 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [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 0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [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 0.290 * [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 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [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 0.292 * [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 0.293 * [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 0.296 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.296 * [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 0.297 * [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 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.301 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.301 * [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 0.302 * [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 0.303 * [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 0.305 * [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 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in im 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- 0) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in im 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.312 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.313 * [taylor]: Taking taylor expansion of 1/2 in im 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.313 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.313 * [taylor]: Taking taylor expansion of im in im 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- 0) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in im 0.317 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.319 * [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)))))) 0.319 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.319 * [backup-simplify]: Simplify 2.0 into 2.0 0.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.320 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.320 * [taylor]: Taking taylor expansion of re in im 0.320 * [backup-simplify]: Simplify re into re 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.320 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.320 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.320 * [taylor]: Taking taylor expansion of re in im 0.320 * [backup-simplify]: Simplify re into re 0.320 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.321 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.321 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.321 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.321 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.321 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.321 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.321 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.321 * [taylor]: Taking taylor expansion of 2.0 in re 0.321 * [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 re 0.322 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.322 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.322 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.322 * [taylor]: Taking taylor expansion of im in re 0.322 * [backup-simplify]: Simplify im into im 0.322 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.323 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.323 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 im) into im 0.323 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.323 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.323 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.323 * [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) 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.324 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.324 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.324 * [taylor]: Taking taylor expansion of im in re 0.324 * [backup-simplify]: Simplify im into im 0.324 * [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 0.325 * [backup-simplify]: Simplify (+ 0 im) into im 0.325 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.326 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.326 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.326 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.326 * [taylor]: Taking taylor expansion of 2.0 in im 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 im) in im 0.327 * [taylor]: Taking taylor expansion of im in im 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (sqrt 0) into 0 0.328 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.328 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.329 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.329 * [taylor]: Taking taylor expansion of 1/2 in im 0.329 * [backup-simplify]: Simplify 1/2 into 1/2 0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.329 * [taylor]: Taking taylor expansion of 2.0 in im 0.329 * [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 (/ 1 im)) in im 0.329 * [taylor]: Taking taylor expansion of (/ 1 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 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [backup-simplify]: Simplify (sqrt 0) into 0 0.331 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.332 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.332 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.335 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.337 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.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))) 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.338 * [backup-simplify]: Simplify (+ 1 0) into 1 0.339 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.339 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.343 * [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)))) 0.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.344 * [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))))) 0.344 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.344 * [taylor]: Taking taylor expansion of 1/8 in im 0.344 * [backup-simplify]: Simplify 1/8 into 1/8 0.344 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.344 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.345 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.345 * [taylor]: Taking taylor expansion of im in im 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [backup-simplify]: Simplify (sqrt 0) into 0 0.347 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.356 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.357 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.357 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.361 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.363 * [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))))))) 0.364 * [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))))))) 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.364 * [taylor]: Taking taylor expansion of 2.0 in im 0.364 * [backup-simplify]: Simplify 2.0 into 2.0 0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.365 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [backup-simplify]: Simplify re into re 0.365 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.365 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.365 * [taylor]: Taking taylor expansion of im in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.365 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [backup-simplify]: Simplify re into re 0.365 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.365 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (sqrt 1) into 1 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 1) into 1 0.368 * [backup-simplify]: Simplify (sqrt 0) into 0 0.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.369 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.369 * [taylor]: Taking taylor expansion of 2.0 in re 0.369 * [backup-simplify]: Simplify 2.0 into 2.0 0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [backup-simplify]: Simplify im into im 0.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ 0 1) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.372 * [backup-simplify]: Simplify (+ 1 1) into 2 0.373 * [backup-simplify]: Simplify (sqrt 0) into 0 0.373 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.373 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.373 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.373 * [taylor]: Taking taylor expansion of 2.0 in re 0.373 * [backup-simplify]: Simplify 2.0 into 2.0 0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.374 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.374 * [taylor]: Taking taylor expansion of re in re 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (/ 1 1) into 1 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.375 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (+ 0 1) into 1 0.376 * [backup-simplify]: Simplify (sqrt 1) into 1 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.377 * [backup-simplify]: Simplify (+ 1 1) into 2 0.378 * [backup-simplify]: Simplify (sqrt 0) into 0 0.378 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.379 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in im 0.379 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.380 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.380 * [taylor]: Taking taylor expansion of +nan.0 in im 0.380 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.380 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.380 * [taylor]: Taking taylor expansion of 2.0 in im 0.380 * [backup-simplify]: Simplify 2.0 into 2.0 0.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.387 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.387 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.387 * [taylor]: Taking taylor expansion of +nan.0 in im 0.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.387 * [taylor]: Taking taylor expansion of 2.0 in im 0.387 * [backup-simplify]: Simplify 2.0 into 2.0 0.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.389 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.391 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.392 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.397 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.397 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.399 * [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)) 0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.402 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.402 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.402 * [taylor]: Taking taylor expansion of +nan.0 in im 0.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.402 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.402 * [taylor]: Taking taylor expansion of 2.0 in im 0.402 * [backup-simplify]: Simplify 2.0 into 2.0 0.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.405 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.405 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.405 * [taylor]: Taking taylor expansion of +nan.0 in im 0.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.405 * [taylor]: Taking taylor expansion of 2.0 in im 0.405 * [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 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.412 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.413 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [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))) 0.422 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.424 * [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))))) 0.424 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.424 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.424 * [taylor]: Taking taylor expansion of +nan.0 in im 0.424 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.424 * [taylor]: Taking taylor expansion of 2.0 in im 0.424 * [backup-simplify]: Simplify 2.0 into 2.0 0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.425 * [taylor]: Taking taylor expansion of im in im 0.425 * [backup-simplify]: Simplify 0 into 0 0.425 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.427 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.427 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.427 * [taylor]: Taking taylor expansion of +nan.0 in im 0.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.427 * [taylor]: Taking taylor expansion of 2.0 in im 0.427 * [backup-simplify]: Simplify 2.0 into 2.0 0.427 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.430 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.431 * [backup-simplify]: Simplify (+ 0 0) into 0 0.431 * [backup-simplify]: Simplify (- 0) into 0 0.431 * [backup-simplify]: Simplify 0 into 0 0.432 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.436 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.437 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.440 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.442 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.443 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.448 * [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))))))) 0.448 * [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)))) 0.448 * [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 0.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.449 * [taylor]: Taking taylor expansion of 2.0 in im 0.449 * [backup-simplify]: Simplify 2.0 into 2.0 0.449 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.450 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.450 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.450 * [taylor]: Taking taylor expansion of im in im 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 1 into 1 0.450 * [backup-simplify]: Simplify (* 1 1) into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.451 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.451 * [taylor]: Taking taylor expansion of re in im 0.451 * [backup-simplify]: Simplify re into re 0.451 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.451 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.452 * [backup-simplify]: Simplify (+ 1 0) into 1 0.452 * [backup-simplify]: Simplify (sqrt 1) into 1 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.454 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.454 * [taylor]: Taking taylor expansion of re in im 0.455 * [backup-simplify]: Simplify re into re 0.455 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.455 * [backup-simplify]: Simplify (sqrt 0) into 0 0.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.457 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.457 * [taylor]: Taking taylor expansion of 2.0 in re 0.457 * [backup-simplify]: Simplify 2.0 into 2.0 0.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.458 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.458 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.458 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.458 * [taylor]: Taking taylor expansion of im in re 0.458 * [backup-simplify]: Simplify im into im 0.458 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.458 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.458 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.458 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.458 * [taylor]: Taking taylor expansion of re in re 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.459 * [backup-simplify]: Simplify (* 1 1) into 1 0.459 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (+ 0 1) into 1 0.460 * [backup-simplify]: Simplify (sqrt 1) into 1 0.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (+ 0 0) into 0 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.468 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.469 * [backup-simplify]: Simplify (- 1) into -1 0.469 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.474 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.476 * [backup-simplify]: Simplify (sqrt 0) into 0 0.477 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.477 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.477 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.477 * [taylor]: Taking taylor expansion of 2.0 in re 0.477 * [backup-simplify]: Simplify 2.0 into 2.0 0.477 * [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 re 0.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.478 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.478 * [taylor]: Taking taylor expansion of im in re 0.478 * [backup-simplify]: Simplify im into im 0.478 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.478 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.479 * [taylor]: Taking taylor expansion of re in re 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (/ 1 1) into 1 0.480 * [backup-simplify]: Simplify (+ 0 1) into 1 0.480 * [backup-simplify]: Simplify (sqrt 1) into 1 0.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [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 re 0.481 * [taylor]: Taking taylor expansion of re in re 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (/ 1 1) into 1 0.482 * [backup-simplify]: Simplify (- 1) into -1 0.482 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.485 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.486 * [backup-simplify]: Simplify (sqrt 0) into 0 0.486 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.487 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.487 * [taylor]: Taking taylor expansion of 0 in im 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.487 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.487 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.487 * [taylor]: Taking taylor expansion of +nan.0 in im 0.487 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.487 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.487 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.487 * [taylor]: Taking taylor expansion of 2.0 in im 0.487 * [backup-simplify]: Simplify 2.0 into 2.0 0.488 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.488 * [taylor]: Taking taylor expansion of im in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.489 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.491 * [backup-simplify]: Simplify (- 0) into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.492 * [backup-simplify]: Simplify (+ 0 0) into 0 0.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.494 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.495 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.495 * [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)))) 0.496 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.496 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.496 * [taylor]: Taking taylor expansion of +nan.0 in im 0.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.496 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.496 * [taylor]: Taking taylor expansion of 2.0 in im 0.496 * [backup-simplify]: Simplify 2.0 into 2.0 0.496 * [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 (pow im 4) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.498 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.507 * [backup-simplify]: Simplify (- 0) into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.510 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (- 0) into 0 0.511 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.512 * [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)))))) 0.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.515 * [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)))))) 0.515 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.515 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.515 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.515 * [taylor]: Taking taylor expansion of +nan.0 in im 0.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.515 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.515 * [taylor]: Taking taylor expansion of 2.0 in im 0.515 * [backup-simplify]: Simplify 2.0 into 2.0 0.515 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.516 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.516 * [taylor]: Taking taylor expansion of im in im 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.518 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.518 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.518 * [taylor]: Taking taylor expansion of +nan.0 in im 0.518 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.518 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.518 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.518 * [taylor]: Taking taylor expansion of 2.0 in im 0.518 * [backup-simplify]: Simplify 2.0 into 2.0 0.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.519 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.519 * [taylor]: Taking taylor expansion of im in im 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.522 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.523 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.531 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.531 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.544 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * * * [progress]: simplifying candidates 0.547 * [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)))) 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 0.547 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (log (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (+ h1 h0) (* 2 h1) 0 (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) h1))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0 0.609 * * * [progress]: adding candidates to table 0.836 * * [progress]: iteration 2 / 4 0.836 * * * [progress]: picking best candidate 0.855 * * * * [pick]: Picked # 0.856 * * * [progress]: localizing error 0.869 * * * [progress]: generating rewritten candidates 0.870 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2 1 2 1) 0.881 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2 1 2) 0.948 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.997 * * * [progress]: generating series expansions 0.997 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2 1 2 1) 0.997 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.997 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.997 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.997 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.997 * [taylor]: Taking taylor expansion of re in im 0.997 * [backup-simplify]: Simplify re into re 0.997 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.997 * [taylor]: Taking taylor expansion of im in im 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.998 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.998 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.998 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 0.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.999 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.999 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.999 * [taylor]: Taking taylor expansion of re in re 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.999 * [taylor]: Taking taylor expansion of im in re 0.999 * [backup-simplify]: Simplify im into im 0.999 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.999 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.000 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.000 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.000 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.000 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.000 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.000 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.000 * [taylor]: Taking taylor expansion of re in re 1.000 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify 1 into 1 1.000 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.001 * [taylor]: Taking taylor expansion of im in re 1.001 * [backup-simplify]: Simplify im into im 1.001 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.001 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.001 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.001 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.002 * [taylor]: Taking taylor expansion of im in im 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [taylor]: Taking taylor expansion of 0 in im 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.003 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.003 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.004 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.004 * [taylor]: Taking taylor expansion of 1/2 in im 1.004 * [backup-simplify]: Simplify 1/2 into 1/2 1.004 * [taylor]: Taking taylor expansion of im in im 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in im 1.008 * [backup-simplify]: Simplify 0 into 0 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.010 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.010 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.010 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.010 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.010 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.010 * [taylor]: Taking taylor expansion of im in im 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 1 into 1 1.010 * [backup-simplify]: Simplify (* 1 1) into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.011 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.011 * [taylor]: Taking taylor expansion of re in im 1.011 * [backup-simplify]: Simplify re into re 1.011 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.011 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.011 * [backup-simplify]: Simplify (+ 1 0) into 1 1.012 * [backup-simplify]: Simplify (sqrt 1) into 1 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 0) into 0 1.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.014 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.014 * [taylor]: Taking taylor expansion of im in re 1.014 * [backup-simplify]: Simplify im into im 1.014 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.015 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.015 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.015 * [taylor]: Taking taylor expansion of re in re 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (* 1 1) into 1 1.016 * [backup-simplify]: Simplify (/ 1 1) into 1 1.016 * [backup-simplify]: Simplify (+ 0 1) into 1 1.016 * [backup-simplify]: Simplify (sqrt 1) into 1 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.019 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.019 * [taylor]: Taking taylor expansion of im in re 1.019 * [backup-simplify]: Simplify im into im 1.019 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.019 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.019 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.019 * [taylor]: Taking taylor expansion of re in re 1.019 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify 1 into 1 1.020 * [backup-simplify]: Simplify (* 1 1) into 1 1.020 * [backup-simplify]: Simplify (/ 1 1) into 1 1.021 * [backup-simplify]: Simplify (+ 0 1) into 1 1.021 * [backup-simplify]: Simplify (sqrt 1) into 1 1.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.024 * [taylor]: Taking taylor expansion of 1 in im 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [taylor]: Taking taylor expansion of 0 in im 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.027 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.027 * [taylor]: Taking taylor expansion of 1/2 in im 1.027 * [backup-simplify]: Simplify 1/2 into 1/2 1.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.027 * [taylor]: Taking taylor expansion of im in im 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.033 * [backup-simplify]: Simplify (+ 0 0) into 0 1.034 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.034 * [taylor]: Taking taylor expansion of 0 in im 1.034 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.037 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.037 * [taylor]: Taking taylor expansion of im in im 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 1 into 1 1.038 * [backup-simplify]: Simplify (* 1 1) into 1 1.038 * [backup-simplify]: Simplify (/ 1 1) into 1 1.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.038 * [taylor]: Taking taylor expansion of re in im 1.038 * [backup-simplify]: Simplify re into re 1.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.038 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.039 * [backup-simplify]: Simplify (+ 1 0) into 1 1.039 * [backup-simplify]: Simplify (sqrt 1) into 1 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.042 * [taylor]: Taking taylor expansion of im in re 1.043 * [backup-simplify]: Simplify im into im 1.043 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.043 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.043 * [taylor]: Taking taylor expansion of re in re 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (* 1 1) into 1 1.049 * [backup-simplify]: Simplify (/ 1 1) into 1 1.050 * [backup-simplify]: Simplify (+ 0 1) into 1 1.050 * [backup-simplify]: Simplify (sqrt 1) into 1 1.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.053 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.053 * [taylor]: Taking taylor expansion of im in re 1.053 * [backup-simplify]: Simplify im into im 1.053 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.053 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.054 * [taylor]: Taking taylor expansion of re in re 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (* 1 1) into 1 1.054 * [backup-simplify]: Simplify (/ 1 1) into 1 1.055 * [backup-simplify]: Simplify (+ 0 1) into 1 1.055 * [backup-simplify]: Simplify (sqrt 1) into 1 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.058 * [taylor]: Taking taylor expansion of 1 in im 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [taylor]: Taking taylor expansion of 0 in im 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.063 * [taylor]: Taking taylor expansion of 1/2 in im 1.063 * [backup-simplify]: Simplify 1/2 into 1/2 1.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.063 * [taylor]: Taking taylor expansion of im in im 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (* 1 1) into 1 1.064 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.069 * [taylor]: Taking taylor expansion of 0 in im 1.069 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.071 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2 1 2) 1.072 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.072 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.072 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.072 * [taylor]: Taking taylor expansion of re in im 1.072 * [backup-simplify]: Simplify re into re 1.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.072 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.072 * [taylor]: Taking taylor expansion of re in im 1.072 * [backup-simplify]: Simplify re into re 1.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.072 * [taylor]: Taking taylor expansion of im in im 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.072 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.073 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.073 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.073 * [backup-simplify]: Simplify (+ 0 0) into 0 1.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.073 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.073 * [taylor]: Taking taylor expansion of re in re 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.073 * [taylor]: Taking taylor expansion of re in re 1.073 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.074 * [taylor]: Taking taylor expansion of im in re 1.074 * [backup-simplify]: Simplify im into im 1.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.074 * [backup-simplify]: Simplify (+ 0 0) into 0 1.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.075 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.075 * [taylor]: Taking taylor expansion of re in re 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.075 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.075 * [taylor]: Taking taylor expansion of re in re 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.075 * [taylor]: Taking taylor expansion of im in re 1.075 * [backup-simplify]: Simplify im into im 1.075 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.075 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.075 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.076 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.076 * [backup-simplify]: Simplify (+ 0 im) into im 1.076 * [taylor]: Taking taylor expansion of im in im 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ 1 0) into 1 1.077 * [taylor]: Taking taylor expansion of 1 in im 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (* 1 1) into 1 1.078 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.078 * [backup-simplify]: Simplify (+ 1 0) into 1 1.079 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.079 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.079 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.079 * [taylor]: Taking taylor expansion of 1/2 in im 1.079 * [backup-simplify]: Simplify 1/2 into 1/2 1.079 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in im 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.086 * [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))))) 1.086 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.086 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.086 * [taylor]: Taking taylor expansion of re in im 1.086 * [backup-simplify]: Simplify re into re 1.086 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (* 1 1) into 1 1.087 * [backup-simplify]: Simplify (/ 1 1) into 1 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.087 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.087 * [taylor]: Taking taylor expansion of re in im 1.087 * [backup-simplify]: Simplify re into re 1.087 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.088 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.088 * [backup-simplify]: Simplify (+ 1 0) into 1 1.088 * [backup-simplify]: Simplify (sqrt 1) into 1 1.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.091 * [taylor]: Taking taylor expansion of re in re 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (/ 1 1) into 1 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.092 * [taylor]: Taking taylor expansion of im in re 1.092 * [backup-simplify]: Simplify im into im 1.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.092 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.092 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.092 * [taylor]: Taking taylor expansion of re in re 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [backup-simplify]: Simplify (+ 0 1) into 1 1.094 * [backup-simplify]: Simplify (sqrt 1) into 1 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.096 * [taylor]: Taking taylor expansion of re in re 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.097 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.097 * [taylor]: Taking taylor expansion of im in re 1.097 * [backup-simplify]: Simplify im into im 1.097 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.097 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.097 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.097 * [taylor]: Taking taylor expansion of re in re 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.097 * [backup-simplify]: Simplify (* 1 1) into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [backup-simplify]: Simplify (+ 0 1) into 1 1.099 * [backup-simplify]: Simplify (sqrt 1) into 1 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.102 * [backup-simplify]: Simplify (+ 1 1) into 2 1.102 * [taylor]: Taking taylor expansion of 2 in im 1.102 * [backup-simplify]: Simplify 2 into 2 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in im 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 2 into 2 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.108 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.108 * [taylor]: Taking taylor expansion of 1/2 in im 1.108 * [backup-simplify]: Simplify 1/2 into 1/2 1.108 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.108 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.108 * [taylor]: Taking taylor expansion of im in im 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 1 into 1 1.108 * [backup-simplify]: Simplify (* 1 1) into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.116 * [taylor]: Taking taylor expansion of 0 in im 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.120 * [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)) 1.120 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.120 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* 1 1) into 1 1.121 * [backup-simplify]: Simplify (/ 1 1) into 1 1.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.121 * [taylor]: Taking taylor expansion of re in im 1.122 * [backup-simplify]: Simplify re into re 1.122 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.122 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.122 * [backup-simplify]: Simplify (+ 1 0) into 1 1.123 * [backup-simplify]: Simplify (sqrt 1) into 1 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.125 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.125 * [taylor]: Taking taylor expansion of re in im 1.125 * [backup-simplify]: Simplify re into re 1.126 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.126 * [taylor]: Taking taylor expansion of im in re 1.126 * [backup-simplify]: Simplify im into im 1.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.126 * [taylor]: Taking taylor expansion of re in re 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (/ 1 1) into 1 1.127 * [backup-simplify]: Simplify (+ 0 1) into 1 1.128 * [backup-simplify]: Simplify (sqrt 1) into 1 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (+ 0 0) into 0 1.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.130 * [taylor]: Taking taylor expansion of re in re 1.130 * [backup-simplify]: Simplify 0 into 0 1.131 * [backup-simplify]: Simplify 1 into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.131 * [taylor]: Taking taylor expansion of im in re 1.131 * [backup-simplify]: Simplify im into im 1.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.131 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.131 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.131 * [taylor]: Taking taylor expansion of re in re 1.132 * [backup-simplify]: Simplify 0 into 0 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (* 1 1) into 1 1.132 * [backup-simplify]: Simplify (/ 1 1) into 1 1.133 * [backup-simplify]: Simplify (+ 0 1) into 1 1.133 * [backup-simplify]: Simplify (sqrt 1) into 1 1.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.136 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.136 * [taylor]: Taking taylor expansion of re in re 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.137 * [backup-simplify]: Simplify (- 1) into -1 1.137 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.137 * [taylor]: Taking taylor expansion of 0 in im 1.137 * [backup-simplify]: Simplify 0 into 0 1.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.138 * [backup-simplify]: Simplify (- 0) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.139 * [taylor]: Taking taylor expansion of 0 in im 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.142 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (- 0) into 0 1.144 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.144 * [taylor]: Taking taylor expansion of 1/2 in im 1.144 * [backup-simplify]: Simplify 1/2 into 1/2 1.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (* 1 1) into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ 0 0) into 0 1.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (- 0) into 0 1.152 * [backup-simplify]: Simplify (+ 0 0) into 0 1.152 * [taylor]: Taking taylor expansion of 0 in im 1.152 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 1.156 * [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)))))) 1.156 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 1.156 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.156 * [taylor]: Taking taylor expansion of 2.0 in im 1.156 * [backup-simplify]: Simplify 2.0 into 2.0 1.157 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.157 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.157 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.157 * [taylor]: Taking taylor expansion of re in im 1.157 * [backup-simplify]: Simplify re into re 1.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.158 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.158 * [taylor]: Taking taylor expansion of re in im 1.158 * [backup-simplify]: Simplify re into re 1.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.158 * [taylor]: Taking taylor expansion of im in im 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.158 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.158 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.158 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.158 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.159 * [backup-simplify]: Simplify (+ 0 0) into 0 1.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.159 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.159 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 1.160 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.160 * [taylor]: Taking taylor expansion of 2.0 in re 1.160 * [backup-simplify]: Simplify 2.0 into 2.0 1.160 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.161 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.161 * [taylor]: Taking taylor expansion of re in re 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify 1 into 1 1.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.162 * [taylor]: Taking taylor expansion of re in re 1.162 * [backup-simplify]: Simplify 0 into 0 1.162 * [backup-simplify]: Simplify 1 into 1 1.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.162 * [taylor]: Taking taylor expansion of im in re 1.162 * [backup-simplify]: Simplify im into im 1.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.162 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.162 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.162 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.163 * [backup-simplify]: Simplify (+ 0 0) into 0 1.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.163 * [backup-simplify]: Simplify (+ 0 im) into im 1.163 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.164 * [backup-simplify]: Simplify (+ 1 0) into 1 1.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 1.164 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.164 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.164 * [taylor]: Taking taylor expansion of 2.0 in re 1.164 * [backup-simplify]: Simplify 2.0 into 2.0 1.165 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.166 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.166 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.166 * [taylor]: Taking taylor expansion of re in re 1.166 * [backup-simplify]: Simplify 0 into 0 1.166 * [backup-simplify]: Simplify 1 into 1 1.166 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.166 * [taylor]: Taking taylor expansion of im in re 1.166 * [backup-simplify]: Simplify im into im 1.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.168 * [backup-simplify]: Simplify (+ 0 im) into im 1.168 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.168 * [backup-simplify]: Simplify (+ 1 0) into 1 1.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 1.169 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 1.169 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.169 * [taylor]: Taking taylor expansion of 2.0 in im 1.169 * [backup-simplify]: Simplify 2.0 into 2.0 1.170 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.171 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (sqrt 0) into 0 1.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.174 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 1.175 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.175 * [taylor]: Taking taylor expansion of 1/2 in im 1.176 * [backup-simplify]: Simplify 1/2 into 1/2 1.176 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.176 * [taylor]: Taking taylor expansion of 2.0 in im 1.176 * [backup-simplify]: Simplify 2.0 into 2.0 1.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.177 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.177 * [taylor]: Taking taylor expansion of im in im 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.178 * [backup-simplify]: Simplify (/ 1 1) into 1 1.178 * [backup-simplify]: Simplify (sqrt 0) into 0 1.180 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.181 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.182 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.186 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.187 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.189 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.190 * [backup-simplify]: Simplify (* 1 1) into 1 1.190 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.190 * [backup-simplify]: Simplify (+ 1 0) into 1 1.191 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.191 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.191 * [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)))) 1.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.193 * [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))))) 1.193 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.193 * [taylor]: Taking taylor expansion of 1/8 in im 1.193 * [backup-simplify]: Simplify 1/8 into 1/8 1.193 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.193 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.193 * [taylor]: Taking taylor expansion of 2.0 in im 1.193 * [backup-simplify]: Simplify 2.0 into 2.0 1.193 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.194 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.194 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.194 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.194 * [taylor]: Taking taylor expansion of im in im 1.194 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify 1 into 1 1.194 * [backup-simplify]: Simplify (* 1 1) into 1 1.194 * [backup-simplify]: Simplify (* 1 1) into 1 1.194 * [backup-simplify]: Simplify (/ 1 1) into 1 1.195 * [backup-simplify]: Simplify (sqrt 0) into 0 1.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.199 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.205 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.206 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.206 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.209 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.210 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.213 * [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))))))) 1.214 * [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))))))) 1.214 * [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 1.214 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.214 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.214 * [taylor]: Taking taylor expansion of 2.0 in im 1.214 * [backup-simplify]: Simplify 2.0 into 2.0 1.214 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.214 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [backup-simplify]: Simplify re into re 1.215 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.215 * [taylor]: Taking taylor expansion of im in im 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 1 into 1 1.215 * [backup-simplify]: Simplify (* 1 1) into 1 1.215 * [backup-simplify]: Simplify (/ 1 1) into 1 1.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.215 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.215 * [taylor]: Taking taylor expansion of re in im 1.215 * [backup-simplify]: Simplify re into re 1.215 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.215 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.216 * [backup-simplify]: Simplify (+ 1 0) into 1 1.216 * [backup-simplify]: Simplify (sqrt 1) into 1 1.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.217 * [backup-simplify]: Simplify (+ 0 0) into 0 1.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.218 * [backup-simplify]: Simplify (+ 0 1) into 1 1.218 * [backup-simplify]: Simplify (sqrt 0) into 0 1.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.219 * [taylor]: Taking taylor expansion of 2.0 in re 1.219 * [backup-simplify]: Simplify 2.0 into 2.0 1.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (/ 1 1) into 1 1.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.220 * [taylor]: Taking taylor expansion of im in re 1.220 * [backup-simplify]: Simplify im into im 1.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.220 * [taylor]: Taking taylor expansion of re in re 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (* 1 1) into 1 1.221 * [backup-simplify]: Simplify (/ 1 1) into 1 1.221 * [backup-simplify]: Simplify (+ 0 1) into 1 1.221 * [backup-simplify]: Simplify (sqrt 1) into 1 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.223 * [backup-simplify]: Simplify (+ 1 1) into 2 1.223 * [backup-simplify]: Simplify (sqrt 0) into 0 1.224 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.224 * [taylor]: Taking taylor expansion of 2.0 in re 1.224 * [backup-simplify]: Simplify 2.0 into 2.0 1.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.225 * [taylor]: Taking taylor expansion of re in re 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (/ 1 1) into 1 1.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.225 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.225 * [taylor]: Taking taylor expansion of im in re 1.225 * [backup-simplify]: Simplify im into im 1.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.225 * [taylor]: Taking taylor expansion of re in re 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.225 * [backup-simplify]: Simplify (* 1 1) into 1 1.226 * [backup-simplify]: Simplify (/ 1 1) into 1 1.226 * [backup-simplify]: Simplify (+ 0 1) into 1 1.226 * [backup-simplify]: Simplify (sqrt 1) into 1 1.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.227 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.228 * [backup-simplify]: Simplify (+ 1 1) into 2 1.229 * [backup-simplify]: Simplify (sqrt 0) into 0 1.230 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.231 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.231 * [taylor]: Taking taylor expansion of 0 in im 1.231 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.233 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.233 * [taylor]: Taking taylor expansion of +nan.0 in im 1.233 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.233 * [taylor]: Taking taylor expansion of 2.0 in im 1.233 * [backup-simplify]: Simplify 2.0 into 2.0 1.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.238 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.242 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.242 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.242 * [taylor]: Taking taylor expansion of +nan.0 in im 1.243 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.243 * [taylor]: Taking taylor expansion of 2.0 in im 1.243 * [backup-simplify]: Simplify 2.0 into 2.0 1.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.245 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.246 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.248 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.248 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.252 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.253 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.255 * [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)) 1.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.258 * [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))))) 1.258 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.258 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.258 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.258 * [taylor]: Taking taylor expansion of +nan.0 in im 1.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.258 * [taylor]: Taking taylor expansion of 2.0 in im 1.258 * [backup-simplify]: Simplify 2.0 into 2.0 1.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.259 * [taylor]: Taking taylor expansion of im in im 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (* 1 1) into 1 1.260 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.260 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.260 * [taylor]: Taking taylor expansion of +nan.0 in im 1.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.260 * [taylor]: Taking taylor expansion of 2.0 in im 1.260 * [backup-simplify]: Simplify 2.0 into 2.0 1.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.263 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.263 * [backup-simplify]: Simplify (+ 0 0) into 0 1.263 * [backup-simplify]: Simplify (- 0) into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.264 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.264 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.265 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.266 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.266 * [backup-simplify]: Simplify (- 0) into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.267 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.268 * [backup-simplify]: Simplify (+ 0 0) into 0 1.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [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))) 1.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.272 * [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))))) 1.272 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 1.272 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 1.272 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.272 * [taylor]: Taking taylor expansion of +nan.0 in im 1.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.272 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.272 * [taylor]: Taking taylor expansion of 2.0 in im 1.272 * [backup-simplify]: Simplify 2.0 into 2.0 1.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (* 1 1) into 1 1.274 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.274 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.274 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.274 * [taylor]: Taking taylor expansion of +nan.0 in im 1.274 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.274 * [taylor]: Taking taylor expansion of 2.0 in im 1.274 * [backup-simplify]: Simplify 2.0 into 2.0 1.274 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.276 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (- 0) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.279 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.280 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.282 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.283 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.284 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.287 * [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))))))) 1.287 * [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)))) 1.287 * [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 1.287 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.287 * [taylor]: Taking taylor expansion of 2.0 in im 1.287 * [backup-simplify]: Simplify 2.0 into 2.0 1.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.288 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.288 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.288 * [taylor]: Taking taylor expansion of im in im 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (* 1 1) into 1 1.289 * [backup-simplify]: Simplify (/ 1 1) into 1 1.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.289 * [taylor]: Taking taylor expansion of re in im 1.289 * [backup-simplify]: Simplify re into re 1.289 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.289 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.289 * [backup-simplify]: Simplify (+ 1 0) into 1 1.289 * [backup-simplify]: Simplify (sqrt 1) into 1 1.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.290 * [backup-simplify]: Simplify (+ 0 0) into 0 1.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.291 * [taylor]: Taking taylor expansion of re in im 1.291 * [backup-simplify]: Simplify re into re 1.291 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.291 * [backup-simplify]: Simplify (+ 1 0) into 1 1.291 * [backup-simplify]: Simplify (sqrt 0) into 0 1.293 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.293 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.293 * [taylor]: Taking taylor expansion of 2.0 in re 1.293 * [backup-simplify]: Simplify 2.0 into 2.0 1.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.294 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.294 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.294 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.294 * [taylor]: Taking taylor expansion of im in re 1.294 * [backup-simplify]: Simplify im into im 1.294 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.295 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.295 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.295 * [taylor]: Taking taylor expansion of re in re 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (* 1 1) into 1 1.295 * [backup-simplify]: Simplify (/ 1 1) into 1 1.296 * [backup-simplify]: Simplify (+ 0 1) into 1 1.296 * [backup-simplify]: Simplify (sqrt 1) into 1 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.298 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (/ 1 1) into 1 1.299 * [backup-simplify]: Simplify (- 1) into -1 1.300 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.303 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.304 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.306 * [backup-simplify]: Simplify (sqrt 0) into 0 1.306 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.307 * [taylor]: Taking taylor expansion of 2.0 in re 1.307 * [backup-simplify]: Simplify 2.0 into 2.0 1.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.308 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.308 * [taylor]: Taking taylor expansion of im in re 1.308 * [backup-simplify]: Simplify im into im 1.308 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.308 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.308 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.308 * [taylor]: Taking taylor expansion of re in re 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [backup-simplify]: Simplify (+ 0 1) into 1 1.310 * [backup-simplify]: Simplify (sqrt 1) into 1 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [backup-simplify]: Simplify (- 1) into -1 1.320 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.325 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- 0) into 0 1.326 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.326 * [backup-simplify]: Simplify (sqrt 0) into 0 1.327 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.328 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.328 * [taylor]: Taking taylor expansion of 0 in im 1.328 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 1.329 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.329 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.329 * [taylor]: Taking taylor expansion of +nan.0 in im 1.329 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.329 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.329 * [taylor]: Taking taylor expansion of 2.0 in im 1.329 * [backup-simplify]: Simplify 2.0 into 2.0 1.330 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.330 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.330 * [taylor]: Taking taylor expansion of im in im 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.334 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.335 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.343 * [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)))) 1.343 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.343 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.343 * [taylor]: Taking taylor expansion of +nan.0 in im 1.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.344 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.344 * [taylor]: Taking taylor expansion of 2.0 in im 1.344 * [backup-simplify]: Simplify 2.0 into 2.0 1.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.345 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.345 * [taylor]: Taking taylor expansion of im in im 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.345 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.347 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.349 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.356 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.363 * [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)))))) 1.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.365 * [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)))))) 1.365 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.365 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.365 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.365 * [taylor]: Taking taylor expansion of +nan.0 in im 1.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.365 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.365 * [taylor]: Taking taylor expansion of 2.0 in im 1.365 * [backup-simplify]: Simplify 2.0 into 2.0 1.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.366 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.366 * [taylor]: Taking taylor expansion of im in im 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.367 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.367 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.367 * [taylor]: Taking taylor expansion of +nan.0 in im 1.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.367 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.367 * [taylor]: Taking taylor expansion of 2.0 in im 1.367 * [backup-simplify]: Simplify 2.0 into 2.0 1.368 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.368 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.368 * [taylor]: Taking taylor expansion of im in im 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.369 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.370 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.377 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.379 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.401 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * * * [progress]: simplifying candidates 1.403 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (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)))) 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 1.404 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (log (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (+ h1 h0) (* 2 h1) 0 (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) h1))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0 1.476 * * * [progress]: adding candidates to table 1.694 * * [progress]: iteration 3 / 4 1.694 * * * [progress]: picking best candidate 1.716 * * * * [pick]: Picked # 1.716 * * * [progress]: localizing error 1.754 * * * [progress]: generating rewritten candidates 1.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1 2 1) 1.770 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1 1 1) 1.787 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2) 1.832 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2 1) 1.954 * * * [progress]: generating series expansions 1.955 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1 2 1) 1.955 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.955 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.955 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.955 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.955 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.955 * [taylor]: Taking taylor expansion of re in im 1.955 * [backup-simplify]: Simplify re into re 1.955 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.955 * [taylor]: Taking taylor expansion of im in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.956 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.956 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.956 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.957 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.957 * [taylor]: Taking taylor expansion of re in re 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 1 into 1 1.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.957 * [taylor]: Taking taylor expansion of im in re 1.957 * [backup-simplify]: Simplify im into im 1.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.957 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.957 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.958 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.958 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.958 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.958 * [taylor]: Taking taylor expansion of re in re 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.958 * [taylor]: Taking taylor expansion of im in re 1.958 * [backup-simplify]: Simplify im into im 1.959 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.959 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.959 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.959 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.959 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.960 * [taylor]: Taking taylor expansion of im in im 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.961 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.962 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.962 * [taylor]: Taking taylor expansion of 1/2 in im 1.962 * [backup-simplify]: Simplify 1/2 into 1/2 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.966 * [taylor]: Taking taylor expansion of 0 in im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.968 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.968 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.968 * [taylor]: Taking taylor expansion of im in im 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (/ 1 1) into 1 1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.969 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.969 * [taylor]: Taking taylor expansion of re in im 1.969 * [backup-simplify]: Simplify re into re 1.969 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.970 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [backup-simplify]: Simplify (sqrt 1) into 1 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.973 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.973 * [taylor]: Taking taylor expansion of im in re 1.973 * [backup-simplify]: Simplify im into im 1.973 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.973 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.973 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.973 * [taylor]: Taking taylor expansion of re in re 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (* 1 1) into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [backup-simplify]: Simplify (+ 0 1) into 1 1.975 * [backup-simplify]: Simplify (sqrt 1) into 1 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [backup-simplify]: Simplify im into im 1.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.978 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.978 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.978 * [taylor]: Taking taylor expansion of re in re 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ 0 1) into 1 1.980 * [backup-simplify]: Simplify (sqrt 1) into 1 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.982 * [taylor]: Taking taylor expansion of 1 in im 1.982 * [backup-simplify]: Simplify 1 into 1 1.982 * [taylor]: Taking taylor expansion of 0 in im 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.986 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.986 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.986 * [taylor]: Taking taylor expansion of 1/2 in im 1.986 * [backup-simplify]: Simplify 1/2 into 1/2 1.986 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.986 * [taylor]: Taking taylor expansion of im in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (* 1 1) into 1 1.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.992 * [taylor]: Taking taylor expansion of 0 in im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.993 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.993 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.993 * [taylor]: Taking taylor expansion of im in im 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.994 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.994 * [taylor]: Taking taylor expansion of re in im 1.994 * [backup-simplify]: Simplify re into re 1.994 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.994 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.994 * [backup-simplify]: Simplify (+ 1 0) into 1 1.995 * [backup-simplify]: Simplify (sqrt 1) into 1 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.996 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.996 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.996 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.996 * [taylor]: Taking taylor expansion of im in re 1.996 * [backup-simplify]: Simplify im into im 1.996 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.996 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.996 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.996 * [taylor]: Taking taylor expansion of re in re 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.997 * [backup-simplify]: Simplify (+ 0 1) into 1 1.997 * [backup-simplify]: Simplify (sqrt 1) into 1 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.999 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.999 * [taylor]: Taking taylor expansion of im in re 1.999 * [backup-simplify]: Simplify im into im 1.999 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.999 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.999 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.999 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.999 * [taylor]: Taking taylor expansion of re in re 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.000 * [backup-simplify]: Simplify (/ 1 1) into 1 2.000 * [backup-simplify]: Simplify (+ 0 1) into 1 2.000 * [backup-simplify]: Simplify (sqrt 1) into 1 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.002 * [taylor]: Taking taylor expansion of 1 in im 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [taylor]: Taking taylor expansion of 0 in im 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 1 into 1 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.004 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.004 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.004 * [taylor]: Taking taylor expansion of 1/2 in im 2.004 * [backup-simplify]: Simplify 1/2 into 1/2 2.004 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.007 * [taylor]: Taking taylor expansion of 0 in im 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.009 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1 1 1) 2.009 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.009 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.009 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.009 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.009 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.009 * [taylor]: Taking taylor expansion of re in im 2.009 * [backup-simplify]: Simplify re into re 2.009 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.009 * [taylor]: Taking taylor expansion of im in im 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.009 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.009 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.009 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.009 * [backup-simplify]: Simplify (+ 0 0) into 0 2.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.010 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.010 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.010 * [taylor]: Taking taylor expansion of im in re 2.010 * [backup-simplify]: Simplify im into im 2.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.010 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.010 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.010 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.010 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.010 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.010 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.010 * [taylor]: Taking taylor expansion of im in re 2.010 * [backup-simplify]: Simplify im into im 2.010 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.011 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.011 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.011 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.011 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.011 * [taylor]: Taking taylor expansion of im in im 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [taylor]: Taking taylor expansion of 0 in im 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.012 * [backup-simplify]: Simplify (+ 1 0) into 1 2.013 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.013 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.013 * [taylor]: Taking taylor expansion of 1/2 in im 2.013 * [backup-simplify]: Simplify 1/2 into 1/2 2.013 * [taylor]: Taking taylor expansion of im in im 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.015 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.015 * [taylor]: Taking taylor expansion of 0 in im 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.016 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.016 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.016 * [taylor]: Taking taylor expansion of im in im 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* 1 1) into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.016 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.016 * [taylor]: Taking taylor expansion of re in im 2.016 * [backup-simplify]: Simplify re into re 2.016 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.016 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.017 * [backup-simplify]: Simplify (+ 1 0) into 1 2.017 * [backup-simplify]: Simplify (sqrt 1) into 1 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.018 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.018 * [taylor]: Taking taylor expansion of im in re 2.019 * [backup-simplify]: Simplify im into im 2.019 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.019 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.019 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.019 * [taylor]: Taking taylor expansion of re in re 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [backup-simplify]: Simplify (* 1 1) into 1 2.019 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [backup-simplify]: Simplify (+ 0 1) into 1 2.020 * [backup-simplify]: Simplify (sqrt 1) into 1 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.021 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.021 * [taylor]: Taking taylor expansion of im in re 2.021 * [backup-simplify]: Simplify im into im 2.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.021 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.021 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (* 1 1) into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [backup-simplify]: Simplify (+ 0 1) into 1 2.022 * [backup-simplify]: Simplify (sqrt 1) into 1 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.024 * [taylor]: Taking taylor expansion of 1 in im 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [taylor]: Taking taylor expansion of 0 in im 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.028 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.028 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.028 * [taylor]: Taking taylor expansion of 1/2 in im 2.028 * [backup-simplify]: Simplify 1/2 into 1/2 2.028 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.029 * [taylor]: Taking taylor expansion of im in im 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.035 * [taylor]: Taking taylor expansion of 0 in im 2.035 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.037 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.037 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.037 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.037 * [taylor]: Taking taylor expansion of im in im 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (* 1 1) into 1 2.038 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.038 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.038 * [taylor]: Taking taylor expansion of re in im 2.038 * [backup-simplify]: Simplify re into re 2.038 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.039 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.039 * [backup-simplify]: Simplify (+ 1 0) into 1 2.039 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.042 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.042 * [taylor]: Taking taylor expansion of im in re 2.042 * [backup-simplify]: Simplify im into im 2.042 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.043 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.043 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.043 * [taylor]: Taking taylor expansion of re in re 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (* 1 1) into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [backup-simplify]: Simplify (+ 0 1) into 1 2.044 * [backup-simplify]: Simplify (sqrt 1) into 1 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.047 * [taylor]: Taking taylor expansion of im in re 2.047 * [backup-simplify]: Simplify im into im 2.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.047 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.047 * [taylor]: Taking taylor expansion of re in re 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (/ 1 1) into 1 2.049 * [backup-simplify]: Simplify (+ 0 1) into 1 2.049 * [backup-simplify]: Simplify (sqrt 1) into 1 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ 0 0) into 0 2.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.052 * [taylor]: Taking taylor expansion of 1 in im 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [taylor]: Taking taylor expansion of 0 in im 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.055 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.055 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.055 * [taylor]: Taking taylor expansion of 1/2 in im 2.055 * [backup-simplify]: Simplify 1/2 into 1/2 2.055 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.055 * [taylor]: Taking taylor expansion of im in im 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* 1 1) into 1 2.056 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.067 * [taylor]: Taking taylor expansion of 0 in im 2.067 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.070 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2) 2.070 * [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)))) 2.070 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.070 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.070 * [taylor]: Taking taylor expansion of re in im 2.070 * [backup-simplify]: Simplify re into re 2.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.070 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.070 * [taylor]: Taking taylor expansion of re in im 2.071 * [backup-simplify]: Simplify re into re 2.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.071 * [taylor]: Taking taylor expansion of im in im 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.071 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.071 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.071 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.072 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.072 * [taylor]: Taking taylor expansion of re in re 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.072 * [taylor]: Taking taylor expansion of re in re 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.072 * [taylor]: Taking taylor expansion of im in re 2.072 * [backup-simplify]: Simplify im into im 2.072 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.073 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.073 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.073 * [taylor]: Taking taylor expansion of re in re 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.073 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.073 * [taylor]: Taking taylor expansion of re in re 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.073 * [taylor]: Taking taylor expansion of im in re 2.073 * [backup-simplify]: Simplify im into im 2.073 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.074 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.074 * [backup-simplify]: Simplify (+ 0 im) into im 2.074 * [taylor]: Taking taylor expansion of im in im 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify (+ 1 0) into 1 2.075 * [taylor]: Taking taylor expansion of 1 in im 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify 1 into 1 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.076 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.076 * [backup-simplify]: Simplify (+ 1 0) into 1 2.077 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.077 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.077 * [taylor]: Taking taylor expansion of 1/2 in im 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.078 * [taylor]: Taking taylor expansion of im in im 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (/ 1 1) into 1 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify 0 into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [taylor]: Taking taylor expansion of 0 in im 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.083 * [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))))) 2.083 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.083 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.083 * [taylor]: Taking taylor expansion of re in im 2.083 * [backup-simplify]: Simplify re into re 2.083 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.083 * [taylor]: Taking taylor expansion of im in im 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (* 1 1) into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.083 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.083 * [taylor]: Taking taylor expansion of re in im 2.084 * [backup-simplify]: Simplify re into re 2.084 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.084 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.084 * [backup-simplify]: Simplify (+ 1 0) into 1 2.084 * [backup-simplify]: Simplify (sqrt 1) into 1 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (/ 1 1) into 1 2.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.086 * [taylor]: Taking taylor expansion of im in re 2.086 * [backup-simplify]: Simplify im into im 2.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.086 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.087 * [backup-simplify]: Simplify (/ 1 1) into 1 2.087 * [backup-simplify]: Simplify (+ 0 1) into 1 2.087 * [backup-simplify]: Simplify (sqrt 1) into 1 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.089 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.089 * [taylor]: Taking taylor expansion of re in re 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (/ 1 1) into 1 2.089 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.089 * [taylor]: Taking taylor expansion of im in re 2.089 * [backup-simplify]: Simplify im into im 2.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.089 * [taylor]: Taking taylor expansion of re in re 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [backup-simplify]: Simplify (+ 0 1) into 1 2.090 * [backup-simplify]: Simplify (sqrt 1) into 1 2.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.092 * [backup-simplify]: Simplify (+ 1 1) into 2 2.092 * [taylor]: Taking taylor expansion of 2 in im 2.092 * [backup-simplify]: Simplify 2 into 2 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [taylor]: Taking taylor expansion of 0 in im 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 2 into 2 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.095 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.095 * [taylor]: Taking taylor expansion of 1/2 in im 2.095 * [backup-simplify]: Simplify 1/2 into 1/2 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.095 * [taylor]: Taking taylor expansion of im in im 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [taylor]: Taking taylor expansion of 0 in im 2.100 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.102 * [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)) 2.102 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.102 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.103 * [taylor]: Taking taylor expansion of im in im 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.103 * [taylor]: Taking taylor expansion of re in im 2.103 * [backup-simplify]: Simplify re into re 2.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.104 * [backup-simplify]: Simplify (+ 1 0) into 1 2.104 * [backup-simplify]: Simplify (sqrt 1) into 1 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.105 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.105 * [taylor]: Taking taylor expansion of re in im 2.105 * [backup-simplify]: Simplify re into re 2.105 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.105 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.105 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.106 * [taylor]: Taking taylor expansion of im in re 2.106 * [backup-simplify]: Simplify im into im 2.106 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.106 * [taylor]: Taking taylor expansion of re in re 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (* 1 1) into 1 2.106 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [backup-simplify]: Simplify (+ 0 1) into 1 2.107 * [backup-simplify]: Simplify (sqrt 1) into 1 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.110 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.110 * [taylor]: Taking taylor expansion of im in re 2.110 * [backup-simplify]: Simplify im into im 2.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.110 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.110 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.110 * [taylor]: Taking taylor expansion of re in re 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (* 1 1) into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (+ 0 1) into 1 2.112 * [backup-simplify]: Simplify (sqrt 1) into 1 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.114 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.115 * [taylor]: Taking taylor expansion of re in re 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.115 * [backup-simplify]: Simplify (- 1) into -1 2.116 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in im 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (- 0) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in im 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.121 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (- 0) into 0 2.123 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.123 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.123 * [taylor]: Taking taylor expansion of 1/2 in im 2.123 * [backup-simplify]: Simplify 1/2 into 1/2 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.123 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.123 * [taylor]: Taking taylor expansion of im in im 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (* 1 1) into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [taylor]: Taking taylor expansion of 0 in im 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2 1) 2.133 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 2.133 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.133 * [taylor]: Taking taylor expansion of re in im 2.133 * [backup-simplify]: Simplify re into re 2.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.134 * [taylor]: Taking taylor expansion of im in im 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.134 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.134 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.134 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.134 * [taylor]: Taking taylor expansion of re in re 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.134 * [taylor]: Taking taylor expansion of im in re 2.134 * [backup-simplify]: Simplify im into im 2.134 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.135 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.135 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.135 * [taylor]: Taking taylor expansion of re in re 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.135 * [taylor]: Taking taylor expansion of im in re 2.135 * [backup-simplify]: Simplify im into im 2.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.135 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.136 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.136 * [taylor]: Taking taylor expansion of im in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [taylor]: Taking taylor expansion of 0 in im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify 1 into 1 2.136 * [backup-simplify]: Simplify (* 1 1) into 1 2.137 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.137 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.137 * [taylor]: Taking taylor expansion of 1/2 in im 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of im in im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.140 * [taylor]: Taking taylor expansion of 0 in im 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.141 * [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)))) 2.141 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.141 * [taylor]: Taking taylor expansion of im in im 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.141 * [taylor]: Taking taylor expansion of re in im 2.141 * [backup-simplify]: Simplify re into re 2.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.142 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.142 * [backup-simplify]: Simplify (+ 1 0) into 1 2.142 * [backup-simplify]: Simplify (sqrt 1) into 1 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.144 * [taylor]: Taking taylor expansion of im in re 2.144 * [backup-simplify]: Simplify im into im 2.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.144 * [taylor]: Taking taylor expansion of re in re 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (* 1 1) into 1 2.144 * [backup-simplify]: Simplify (/ 1 1) into 1 2.145 * [backup-simplify]: Simplify (+ 0 1) into 1 2.145 * [backup-simplify]: Simplify (sqrt 1) into 1 2.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.146 * [taylor]: Taking taylor expansion of im in re 2.146 * [backup-simplify]: Simplify im into im 2.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.147 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.147 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.147 * [taylor]: Taking taylor expansion of re in re 2.147 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (* 1 1) into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [backup-simplify]: Simplify (+ 0 1) into 1 2.148 * [backup-simplify]: Simplify (sqrt 1) into 1 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.149 * [backup-simplify]: Simplify (+ 0 0) into 0 2.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.149 * [taylor]: Taking taylor expansion of 1 in im 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [taylor]: Taking taylor expansion of 0 in im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.151 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.151 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.151 * [taylor]: Taking taylor expansion of 1/2 in im 2.151 * [backup-simplify]: Simplify 1/2 into 1/2 2.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.151 * [taylor]: Taking taylor expansion of im in im 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 1 into 1 2.152 * [backup-simplify]: Simplify (* 1 1) into 1 2.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.155 * [taylor]: Taking taylor expansion of 0 in im 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.157 * [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)))) 2.157 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.157 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.157 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.157 * [taylor]: Taking taylor expansion of im in im 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (* 1 1) into 1 2.157 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.157 * [taylor]: Taking taylor expansion of re in im 2.157 * [backup-simplify]: Simplify re into re 2.157 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.158 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.158 * [backup-simplify]: Simplify (+ 1 0) into 1 2.158 * [backup-simplify]: Simplify (sqrt 1) into 1 2.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.160 * [taylor]: Taking taylor expansion of im in re 2.160 * [backup-simplify]: Simplify im into im 2.160 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.160 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.160 * [taylor]: Taking taylor expansion of re in re 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* 1 1) into 1 2.161 * [backup-simplify]: Simplify (/ 1 1) into 1 2.162 * [backup-simplify]: Simplify (+ 0 1) into 1 2.162 * [backup-simplify]: Simplify (sqrt 1) into 1 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.164 * [backup-simplify]: Simplify (+ 0 0) into 0 2.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.165 * [taylor]: Taking taylor expansion of im in re 2.165 * [backup-simplify]: Simplify im into im 2.165 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.165 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.165 * [taylor]: Taking taylor expansion of re in re 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.167 * [backup-simplify]: Simplify (+ 0 1) into 1 2.167 * [backup-simplify]: Simplify (sqrt 1) into 1 2.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.170 * [taylor]: Taking taylor expansion of 1 in im 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [taylor]: Taking taylor expansion of 0 in im 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.172 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.173 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.173 * [taylor]: Taking taylor expansion of 1/2 in im 2.173 * [backup-simplify]: Simplify 1/2 into 1/2 2.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.173 * [taylor]: Taking taylor expansion of im in im 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.180 * [taylor]: Taking taylor expansion of 0 in im 2.180 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.182 * * * [progress]: simplifying candidates 2.190 * [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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (* (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)))))) (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 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(sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))))) (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)) (* (* re re) (* im im))))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (- (* re re) (* im im)))) (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 (sqrt (+ (* re 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re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt 1)) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 1 1) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) 2.191 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 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h1) (* h0 h0))))) (* (sqrt (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))))) (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))))) (* (sqrt (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (sqrt (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) 2.290 * * * [progress]: adding candidates to table 2.709 * * [progress]: iteration 4 / 4 2.709 * * * [progress]: picking best candidate 2.721 * * * * [pick]: Picked # 2.721 * * * [progress]: localizing error 2.744 * * * [progress]: generating rewritten candidates 2.744 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1 1 1 2 1) 2.753 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1 1 1 1 1) 2.768 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 2 1 1) 2.808 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 2.887 * * * [progress]: generating series expansions 2.887 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1 1 1 2 1) 2.888 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.888 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.888 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.888 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.888 * [taylor]: Taking taylor expansion of re in im 2.888 * [backup-simplify]: Simplify re into re 2.888 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.888 * [taylor]: Taking taylor expansion of im in im 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.888 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.888 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.888 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.889 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.889 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.889 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.889 * [taylor]: Taking taylor expansion of re in re 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.889 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.889 * [taylor]: Taking taylor expansion of im in re 2.889 * [backup-simplify]: Simplify im into im 2.889 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.889 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.889 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.889 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.890 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.890 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.890 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.890 * [taylor]: Taking taylor expansion of re in re 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.890 * [taylor]: Taking taylor expansion of im in re 2.890 * [backup-simplify]: Simplify im into im 2.890 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.890 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.890 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.890 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.891 * [taylor]: Taking taylor expansion of im in im 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [taylor]: Taking taylor expansion of 0 in im 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.892 * [backup-simplify]: Simplify (+ 1 0) into 1 2.892 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.892 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.892 * [taylor]: Taking taylor expansion of 1/2 in im 2.892 * [backup-simplify]: Simplify 1/2 into 1/2 2.892 * [taylor]: Taking taylor expansion of im in im 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.893 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.894 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.894 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.894 * [taylor]: Taking taylor expansion of 0 in im 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.895 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.895 * [taylor]: Taking taylor expansion of im in im 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.896 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.896 * [taylor]: Taking taylor expansion of re in im 2.896 * [backup-simplify]: Simplify re into re 2.896 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.896 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [backup-simplify]: Simplify (sqrt 1) into 1 2.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.902 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.902 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.902 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.902 * [taylor]: Taking taylor expansion of im in re 2.902 * [backup-simplify]: Simplify im into im 2.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.902 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.902 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.902 * [taylor]: Taking taylor expansion of re in re 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [backup-simplify]: Simplify (+ 0 1) into 1 2.903 * [backup-simplify]: Simplify (sqrt 1) into 1 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.905 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.905 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.905 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.905 * [taylor]: Taking taylor expansion of im in re 2.905 * [backup-simplify]: Simplify im into im 2.905 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.905 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.905 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.905 * [taylor]: Taking taylor expansion of re in re 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [backup-simplify]: Simplify (+ 0 1) into 1 2.906 * [backup-simplify]: Simplify (sqrt 1) into 1 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (+ 0 0) into 0 2.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.908 * [taylor]: Taking taylor expansion of 1 in im 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [taylor]: Taking taylor expansion of 0 in im 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.910 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.910 * [taylor]: Taking taylor expansion of 1/2 in im 2.910 * [backup-simplify]: Simplify 1/2 into 1/2 2.910 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.910 * [taylor]: Taking taylor expansion of im in im 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ 0 0) into 0 2.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.913 * [taylor]: Taking taylor expansion of 0 in im 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.915 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.915 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.915 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.915 * [taylor]: Taking taylor expansion of im in im 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (* 1 1) into 1 2.916 * [backup-simplify]: Simplify (/ 1 1) into 1 2.916 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.916 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.916 * [taylor]: Taking taylor expansion of re in im 2.916 * [backup-simplify]: Simplify re into re 2.916 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.916 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.917 * [backup-simplify]: Simplify (+ 1 0) into 1 2.917 * [backup-simplify]: Simplify (sqrt 1) into 1 2.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.918 * [taylor]: Taking taylor expansion of im in re 2.918 * [backup-simplify]: Simplify im into im 2.918 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.919 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.919 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.919 * [taylor]: Taking taylor expansion of re in re 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (* 1 1) into 1 2.919 * [backup-simplify]: Simplify (/ 1 1) into 1 2.919 * [backup-simplify]: Simplify (+ 0 1) into 1 2.920 * [backup-simplify]: Simplify (sqrt 1) into 1 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.921 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.921 * [taylor]: Taking taylor expansion of im in re 2.921 * [backup-simplify]: Simplify im into im 2.921 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.921 * [taylor]: Taking taylor expansion of re in re 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (* 1 1) into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [backup-simplify]: Simplify (+ 0 1) into 1 2.922 * [backup-simplify]: Simplify (sqrt 1) into 1 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.924 * [taylor]: Taking taylor expansion of 1 in im 2.924 * [backup-simplify]: Simplify 1 into 1 2.924 * [taylor]: Taking taylor expansion of 0 in im 2.924 * [backup-simplify]: Simplify 0 into 0 2.924 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.926 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.926 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.926 * [taylor]: Taking taylor expansion of 1/2 in im 2.926 * [backup-simplify]: Simplify 1/2 into 1/2 2.926 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.926 * [taylor]: Taking taylor expansion of im in im 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (* 1 1) into 1 2.927 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.930 * [taylor]: Taking taylor expansion of 0 in im 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.931 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1 1 1 1 1) 2.931 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.931 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.931 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.931 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.931 * [taylor]: Taking taylor expansion of re in im 2.931 * [backup-simplify]: Simplify re into re 2.931 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.931 * [taylor]: Taking taylor expansion of im in im 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.931 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.932 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.932 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.932 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.932 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.932 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.932 * [taylor]: Taking taylor expansion of re in re 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.932 * [taylor]: Taking taylor expansion of im in re 2.932 * [backup-simplify]: Simplify im into im 2.932 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.932 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.932 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.932 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.933 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.933 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.933 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.933 * [taylor]: Taking taylor expansion of re in re 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.933 * [taylor]: Taking taylor expansion of im in re 2.933 * [backup-simplify]: Simplify im into im 2.933 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.933 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.933 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.933 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.933 * [backup-simplify]: Simplify (+ 0 0) into 0 2.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.934 * [taylor]: Taking taylor expansion of im in im 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [taylor]: Taking taylor expansion of 0 in im 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.934 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.935 * [backup-simplify]: Simplify (+ 1 0) into 1 2.935 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.935 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.935 * [taylor]: Taking taylor expansion of 1/2 in im 2.935 * [backup-simplify]: Simplify 1/2 into 1/2 2.935 * [taylor]: Taking taylor expansion of im in im 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.937 * [backup-simplify]: Simplify (+ 0 0) into 0 2.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.937 * [taylor]: Taking taylor expansion of 0 in im 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.938 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.938 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.938 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.938 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.938 * [taylor]: Taking taylor expansion of im in im 2.938 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (* 1 1) into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.939 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.939 * [taylor]: Taking taylor expansion of re in im 2.939 * [backup-simplify]: Simplify re into re 2.939 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.939 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.939 * [backup-simplify]: Simplify (+ 1 0) into 1 2.940 * [backup-simplify]: Simplify (sqrt 1) into 1 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.941 * [taylor]: Taking taylor expansion of im in re 2.941 * [backup-simplify]: Simplify im into im 2.941 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.941 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.942 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.942 * [taylor]: Taking taylor expansion of re in re 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (* 1 1) into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [backup-simplify]: Simplify (+ 0 1) into 1 2.943 * [backup-simplify]: Simplify (sqrt 1) into 1 2.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ 0 0) into 0 2.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.944 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.944 * [taylor]: Taking taylor expansion of im in re 2.944 * [backup-simplify]: Simplify im into im 2.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.944 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.944 * [taylor]: Taking taylor expansion of re in re 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (* 1 1) into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [backup-simplify]: Simplify (+ 0 1) into 1 2.945 * [backup-simplify]: Simplify (sqrt 1) into 1 2.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.947 * [taylor]: Taking taylor expansion of 1 in im 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [taylor]: Taking taylor expansion of 0 in im 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.949 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.949 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.949 * [taylor]: Taking taylor expansion of 1/2 in im 2.949 * [backup-simplify]: Simplify 1/2 into 1/2 2.949 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.949 * [taylor]: Taking taylor expansion of im in im 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.952 * [taylor]: Taking taylor expansion of 0 in im 2.952 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.954 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.954 * [taylor]: Taking taylor expansion of im in im 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (* 1 1) into 1 2.955 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.955 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.955 * [taylor]: Taking taylor expansion of re in im 2.955 * [backup-simplify]: Simplify re into re 2.955 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.955 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.955 * [backup-simplify]: Simplify (+ 1 0) into 1 2.955 * [backup-simplify]: Simplify (sqrt 1) into 1 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.957 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.957 * [taylor]: Taking taylor expansion of im in re 2.957 * [backup-simplify]: Simplify im into im 2.957 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.957 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.957 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.957 * [taylor]: Taking taylor expansion of re in re 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [backup-simplify]: Simplify (+ 0 1) into 1 2.958 * [backup-simplify]: Simplify (sqrt 1) into 1 2.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.960 * [taylor]: Taking taylor expansion of im in re 2.960 * [backup-simplify]: Simplify im into im 2.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.960 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.960 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.960 * [taylor]: Taking taylor expansion of re in re 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (* 1 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [backup-simplify]: Simplify (+ 0 1) into 1 2.961 * [backup-simplify]: Simplify (sqrt 1) into 1 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.962 * [taylor]: Taking taylor expansion of 1 in im 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of 0 in im 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.965 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.965 * [taylor]: Taking taylor expansion of 1/2 in im 2.965 * [backup-simplify]: Simplify 1/2 into 1/2 2.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.965 * [taylor]: Taking taylor expansion of im in im 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.965 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.968 * [backup-simplify]: Simplify (+ 0 0) into 0 2.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.968 * [taylor]: Taking taylor expansion of 0 in im 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.970 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 2 1 1) 2.970 * [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)))) 2.970 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.970 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.970 * [taylor]: Taking taylor expansion of re in im 2.970 * [backup-simplify]: Simplify re into re 2.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.970 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.970 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.970 * [taylor]: Taking taylor expansion of re in im 2.970 * [backup-simplify]: Simplify re into re 2.970 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.970 * [taylor]: Taking taylor expansion of im in im 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.970 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.970 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.970 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.971 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.971 * [taylor]: Taking taylor expansion of re in re 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.971 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.971 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.971 * [taylor]: Taking taylor expansion of re in re 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 1 into 1 2.971 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.971 * [taylor]: Taking taylor expansion of im in re 2.971 * [backup-simplify]: Simplify im into im 2.971 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.971 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.971 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.971 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.972 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.972 * [taylor]: Taking taylor expansion of re in re 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.972 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.972 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.972 * [taylor]: Taking taylor expansion of re in re 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.972 * [taylor]: Taking taylor expansion of im in re 2.972 * [backup-simplify]: Simplify im into im 2.972 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.972 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.972 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.972 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.973 * [backup-simplify]: Simplify (+ 0 im) into im 2.973 * [taylor]: Taking taylor expansion of im in im 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ 1 0) into 1 2.973 * [taylor]: Taking taylor expansion of 1 in im 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.974 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.974 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.974 * [taylor]: Taking taylor expansion of 1/2 in im 2.974 * [backup-simplify]: Simplify 1/2 into 1/2 2.974 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.974 * [taylor]: Taking taylor expansion of im in im 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.977 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [taylor]: Taking taylor expansion of 0 in im 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.979 * [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))))) 2.979 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.979 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.979 * [taylor]: Taking taylor expansion of re in im 2.979 * [backup-simplify]: Simplify re into re 2.979 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.979 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.979 * [taylor]: Taking taylor expansion of im in im 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.980 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.980 * [taylor]: Taking taylor expansion of re in im 2.980 * [backup-simplify]: Simplify re into re 2.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.980 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.980 * [backup-simplify]: Simplify (+ 1 0) into 1 2.980 * [backup-simplify]: Simplify (sqrt 1) into 1 2.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.982 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.982 * [taylor]: Taking taylor expansion of re in re 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (/ 1 1) into 1 2.982 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.982 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.982 * [taylor]: Taking taylor expansion of im in re 2.982 * [backup-simplify]: Simplify im into im 2.982 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.983 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.983 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.983 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.983 * [taylor]: Taking taylor expansion of re in re 2.983 * [backup-simplify]: Simplify 0 into 0 2.983 * [backup-simplify]: Simplify 1 into 1 2.983 * [backup-simplify]: Simplify (* 1 1) into 1 2.983 * [backup-simplify]: Simplify (/ 1 1) into 1 2.983 * [backup-simplify]: Simplify (+ 0 1) into 1 2.984 * [backup-simplify]: Simplify (sqrt 1) into 1 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.985 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.985 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.985 * [taylor]: Taking taylor expansion of re in re 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.985 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.985 * [taylor]: Taking taylor expansion of im in re 2.985 * [backup-simplify]: Simplify im into im 2.985 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.986 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.986 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.986 * [taylor]: Taking taylor expansion of re in re 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* 1 1) into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (+ 0 1) into 1 2.987 * [backup-simplify]: Simplify (sqrt 1) into 1 2.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.989 * [backup-simplify]: Simplify (+ 1 1) into 2 2.989 * [taylor]: Taking taylor expansion of 2 in im 2.989 * [backup-simplify]: Simplify 2 into 2 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [taylor]: Taking taylor expansion of 0 in im 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 2 into 2 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.992 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.992 * [taylor]: Taking taylor expansion of 1/2 in im 2.992 * [backup-simplify]: Simplify 1/2 into 1/2 2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.992 * [taylor]: Taking taylor expansion of im in im 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ 0 0) into 0 3.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.001 * [taylor]: Taking taylor expansion of 0 in im 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.003 * [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)) 3.003 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.003 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.003 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.003 * [taylor]: Taking taylor expansion of im in im 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 1 into 1 3.003 * [backup-simplify]: Simplify (* 1 1) into 1 3.004 * [backup-simplify]: Simplify (/ 1 1) into 1 3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.004 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.004 * [taylor]: Taking taylor expansion of re in im 3.004 * [backup-simplify]: Simplify re into re 3.004 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.004 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.004 * [backup-simplify]: Simplify (+ 1 0) into 1 3.004 * [backup-simplify]: Simplify (sqrt 1) into 1 3.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.006 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.006 * [taylor]: Taking taylor expansion of re in im 3.006 * [backup-simplify]: Simplify re into re 3.006 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.006 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.006 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.006 * [taylor]: Taking taylor expansion of im in re 3.006 * [backup-simplify]: Simplify im into im 3.006 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.006 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.006 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.006 * [taylor]: Taking taylor expansion of re in re 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.007 * [backup-simplify]: Simplify (+ 0 1) into 1 3.007 * [backup-simplify]: Simplify (sqrt 1) into 1 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.009 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.009 * [taylor]: Taking taylor expansion of re in re 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.009 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.009 * [taylor]: Taking taylor expansion of im in re 3.009 * [backup-simplify]: Simplify im into im 3.009 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.010 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.010 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.010 * [taylor]: Taking taylor expansion of re in re 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.010 * [backup-simplify]: Simplify (* 1 1) into 1 3.010 * [backup-simplify]: Simplify (/ 1 1) into 1 3.010 * [backup-simplify]: Simplify (+ 0 1) into 1 3.011 * [backup-simplify]: Simplify (sqrt 1) into 1 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.012 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.012 * [taylor]: Taking taylor expansion of re in re 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [backup-simplify]: Simplify (/ 1 1) into 1 3.013 * [backup-simplify]: Simplify (- 1) into -1 3.013 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.013 * [taylor]: Taking taylor expansion of 0 in im 3.013 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (- 0) into 0 3.014 * [backup-simplify]: Simplify (+ 0 0) into 0 3.014 * [taylor]: Taking taylor expansion of 0 in im 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.015 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.016 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.018 * [backup-simplify]: Simplify (- 0) into 0 3.018 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.018 * [taylor]: Taking taylor expansion of 1/2 in im 3.018 * [backup-simplify]: Simplify 1/2 into 1/2 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.018 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.018 * [taylor]: Taking taylor expansion of im in im 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.019 * [backup-simplify]: Simplify (* 1 1) into 1 3.019 * [backup-simplify]: Simplify (/ 1 1) into 1 3.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (+ 0 0) into 0 3.025 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.027 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [taylor]: Taking taylor expansion of 0 in im 3.027 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 3.031 * [backup-simplify]: Simplify (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 3.031 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 3.031 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.031 * [taylor]: Taking taylor expansion of re in im 3.031 * [backup-simplify]: Simplify re into re 3.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.031 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.031 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.031 * [taylor]: Taking taylor expansion of re in im 3.031 * [backup-simplify]: Simplify re into re 3.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.031 * [taylor]: Taking taylor expansion of im in im 3.031 * [backup-simplify]: Simplify 0 into 0 3.031 * [backup-simplify]: Simplify 1 into 1 3.031 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.032 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.032 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.032 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.033 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.033 * [taylor]: Taking taylor expansion of re in re 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.033 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.033 * [taylor]: Taking taylor expansion of re in re 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.033 * [taylor]: Taking taylor expansion of im in re 3.033 * [backup-simplify]: Simplify im into im 3.033 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.033 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.033 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.033 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.034 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.034 * [taylor]: Taking taylor expansion of re in re 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 1 into 1 3.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.034 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.035 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.035 * [taylor]: Taking taylor expansion of re in re 3.035 * [backup-simplify]: Simplify 0 into 0 3.035 * [backup-simplify]: Simplify 1 into 1 3.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.035 * [taylor]: Taking taylor expansion of im in re 3.035 * [backup-simplify]: Simplify im into im 3.035 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.035 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.035 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.035 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 im) into im 3.036 * [taylor]: Taking taylor expansion of im in im 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify 0 into 0 3.037 * [backup-simplify]: Simplify (+ 1 0) into 1 3.037 * [taylor]: Taking taylor expansion of 1 in im 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify 1 into 1 3.037 * [backup-simplify]: Simplify (* 1 1) into 1 3.038 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.038 * [backup-simplify]: Simplify (+ 1 0) into 1 3.039 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.039 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.040 * [taylor]: Taking taylor expansion of 1/2 in im 3.040 * [backup-simplify]: Simplify 1/2 into 1/2 3.040 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.040 * [taylor]: Taking taylor expansion of im in im 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.040 * [backup-simplify]: Simplify (/ 1 1) into 1 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.043 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.044 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [taylor]: Taking taylor expansion of 0 in im 3.044 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify 0 into 0 3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.046 * [backup-simplify]: Simplify 0 into 0 3.046 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.048 * [backup-simplify]: Simplify (exp (log (+ (* (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))))) 3.048 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.048 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.048 * [taylor]: Taking taylor expansion of re in im 3.048 * [backup-simplify]: Simplify re into re 3.048 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.048 * [taylor]: Taking taylor expansion of im in im 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.048 * [backup-simplify]: Simplify (* 1 1) into 1 3.048 * [backup-simplify]: Simplify (/ 1 1) into 1 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.048 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.048 * [taylor]: Taking taylor expansion of re in im 3.048 * [backup-simplify]: Simplify re into re 3.049 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.049 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.049 * [backup-simplify]: Simplify (+ 1 0) into 1 3.049 * [backup-simplify]: Simplify (sqrt 1) into 1 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.051 * [taylor]: Taking taylor expansion of re in re 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.051 * [backup-simplify]: Simplify (/ 1 1) into 1 3.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.051 * [taylor]: Taking taylor expansion of im in re 3.051 * [backup-simplify]: Simplify im into im 3.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.051 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.051 * [taylor]: Taking taylor expansion of re in re 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (* 1 1) into 1 3.052 * [backup-simplify]: Simplify (/ 1 1) into 1 3.052 * [backup-simplify]: Simplify (+ 0 1) into 1 3.052 * [backup-simplify]: Simplify (sqrt 1) into 1 3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.053 * [backup-simplify]: Simplify (+ 0 0) into 0 3.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.054 * [taylor]: Taking taylor expansion of re in re 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.054 * [taylor]: Taking taylor expansion of im in re 3.054 * [backup-simplify]: Simplify im into im 3.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.054 * [taylor]: Taking taylor expansion of re in re 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (* 1 1) into 1 3.055 * [backup-simplify]: Simplify (/ 1 1) into 1 3.055 * [backup-simplify]: Simplify (+ 0 1) into 1 3.055 * [backup-simplify]: Simplify (sqrt 1) into 1 3.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.057 * [backup-simplify]: Simplify (+ 1 1) into 2 3.057 * [taylor]: Taking taylor expansion of 2 in im 3.057 * [backup-simplify]: Simplify 2 into 2 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.058 * [backup-simplify]: Simplify (+ 0 0) into 0 3.058 * [taylor]: Taking taylor expansion of 0 in im 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 2 into 2 3.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.060 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.061 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.061 * [taylor]: Taking taylor expansion of 1/2 in im 3.061 * [backup-simplify]: Simplify 1/2 into 1/2 3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.061 * [taylor]: Taking taylor expansion of im in im 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify 1 into 1 3.061 * [backup-simplify]: Simplify (* 1 1) into 1 3.061 * [backup-simplify]: Simplify (/ 1 1) into 1 3.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (+ 0 0) into 0 3.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.065 * [backup-simplify]: Simplify (+ 0 0) into 0 3.065 * [taylor]: Taking taylor expansion of 0 in im 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.068 * [backup-simplify]: Simplify (exp (log (+ (* (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)) 3.068 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.068 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.068 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.068 * [taylor]: Taking taylor expansion of im in im 3.068 * [backup-simplify]: Simplify 0 into 0 3.068 * [backup-simplify]: Simplify 1 into 1 3.068 * [backup-simplify]: Simplify (* 1 1) into 1 3.068 * [backup-simplify]: Simplify (/ 1 1) into 1 3.069 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.069 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.069 * [taylor]: Taking taylor expansion of re in im 3.069 * [backup-simplify]: Simplify re into re 3.069 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.069 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.069 * [backup-simplify]: Simplify (+ 1 0) into 1 3.069 * [backup-simplify]: Simplify (sqrt 1) into 1 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (+ 0 0) into 0 3.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.071 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.071 * [taylor]: Taking taylor expansion of re in im 3.071 * [backup-simplify]: Simplify re into re 3.071 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.071 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.071 * [taylor]: Taking taylor expansion of im in re 3.071 * [backup-simplify]: Simplify im into im 3.071 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.071 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.071 * [taylor]: Taking taylor expansion of re in re 3.071 * [backup-simplify]: Simplify 0 into 0 3.071 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ 1 1) into 1 3.072 * [backup-simplify]: Simplify (+ 0 1) into 1 3.072 * [backup-simplify]: Simplify (sqrt 1) into 1 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.073 * [backup-simplify]: Simplify (+ 0 0) into 0 3.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.074 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.074 * [taylor]: Taking taylor expansion of re in re 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (/ 1 1) into 1 3.074 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.074 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.074 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.074 * [taylor]: Taking taylor expansion of im in re 3.074 * [backup-simplify]: Simplify im into im 3.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.074 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.074 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.074 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.074 * [taylor]: Taking taylor expansion of re in re 3.074 * [backup-simplify]: Simplify 0 into 0 3.074 * [backup-simplify]: Simplify 1 into 1 3.074 * [backup-simplify]: Simplify (* 1 1) into 1 3.075 * [backup-simplify]: Simplify (/ 1 1) into 1 3.075 * [backup-simplify]: Simplify (+ 0 1) into 1 3.075 * [backup-simplify]: Simplify (sqrt 1) into 1 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.076 * [backup-simplify]: Simplify (+ 0 0) into 0 3.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.077 * [taylor]: Taking taylor expansion of re in re 3.077 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify 1 into 1 3.077 * [backup-simplify]: Simplify (/ 1 1) into 1 3.077 * [backup-simplify]: Simplify (- 1) into -1 3.078 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.078 * [taylor]: Taking taylor expansion of 0 in im 3.078 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (- 0) into 0 3.078 * [backup-simplify]: Simplify (+ 0 0) into 0 3.078 * [taylor]: Taking taylor expansion of 0 in im 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.083 * [backup-simplify]: Simplify (- 0) into 0 3.083 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.083 * [taylor]: Taking taylor expansion of 1/2 in im 3.083 * [backup-simplify]: Simplify 1/2 into 1/2 3.083 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.083 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.083 * [taylor]: Taking taylor expansion of im in im 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (* 1 1) into 1 3.084 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.086 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify 0 into 0 3.087 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.089 * [backup-simplify]: Simplify (+ 0 0) into 0 3.090 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.092 * [backup-simplify]: Simplify (- 0) into 0 3.092 * [backup-simplify]: Simplify (+ 0 0) into 0 3.092 * [taylor]: Taking taylor expansion of 0 in im 3.092 * [backup-simplify]: Simplify 0 into 0 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * * * [progress]: simplifying candidates 3.095 * [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 (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (exp 1) (exp (* (cbrt (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (exp (sqrt (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp 1) (exp (log (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (exp (log (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log 1)) (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (exp (log (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (exp (log (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (exp (log (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)))) (exp (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (log (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (* (* (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (exp (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 3.095 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (exp (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1)) (log (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (exp (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (* (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (+ (* (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt 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3.207 * * * [progress]: adding candidates to table 3.612 * [progress]: [Phase 3 of 3] Extracting. 3.612 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.617 * * * [regime-changes]: Trying 6 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))) im re) 3.617 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 3.685 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 3.766 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # #) 3.866 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# #) 3.884 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # #) 3.977 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# #) 4.016 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # #) 4.072 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# #) 4.099 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 4.162 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 4.242 * * * [regime]: Found split indices: #