17.370 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.062 * [progress]: [Phase 2 of 3] Improving. 0.062 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.062 * * [simplify]: iteration 0: 12 enodes 0.066 * * [simplify]: iteration 1: 22 enodes 0.072 * * [simplify]: iteration 2: 24 enodes 0.077 * * [simplify]: iteration complete: 24 enodes 0.077 * * [simplify]: Extracting #0: cost 1 inf + 0 0.077 * * [simplify]: Extracting #1: cost 3 inf + 0 0.077 * * [simplify]: Extracting #2: cost 3 inf + 1 0.077 * * [simplify]: Extracting #3: cost 7 inf + 1 0.077 * * [simplify]: Extracting #4: cost 8 inf + 2 0.077 * * [simplify]: Extracting #5: cost 8 inf + 3 0.077 * * [simplify]: Extracting #6: cost 9 inf + 6 0.077 * * [simplify]: Extracting #7: cost 9 inf + 9 0.078 * * [simplify]: Extracting #8: cost 7 inf + 13 0.078 * * [simplify]: Extracting #9: cost 5 inf + 28 0.094 * * [simplify]: Extracting #10: cost 2 inf + 60 0.094 * * [simplify]: Extracting #11: cost 0 inf + 88 0.094 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.099 * * [progress]: iteration 1 / 4 0.100 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.127 * * * [progress]: generating rewritten candidates 0.127 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.170 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.194 * * * [progress]: generating series expansions 0.194 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.194 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.194 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.194 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.194 * [taylor]: Taking taylor expansion of im in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.194 * [taylor]: Taking taylor expansion of re in im 0.194 * [backup-simplify]: Simplify re into re 0.194 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.194 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.195 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.195 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.195 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.195 * [taylor]: Taking taylor expansion of im in re 0.195 * [backup-simplify]: Simplify im into im 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.195 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.196 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.196 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.196 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [backup-simplify]: Simplify im into im 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.197 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.197 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.197 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of 0 in im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.200 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.200 * [taylor]: Taking taylor expansion of 1/2 in im 0.200 * [backup-simplify]: Simplify 1/2 into 1/2 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.205 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.205 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.205 * [backup-simplify]: Simplify re into re 0.205 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.206 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.206 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (+ 0 1) into 1 0.207 * [backup-simplify]: Simplify (sqrt 1) into 1 0.208 * [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 re 2)) (/ 1 (pow im 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 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 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify (sqrt 1) into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.215 * [taylor]: Taking taylor expansion of re in re 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.215 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.215 * [taylor]: Taking taylor expansion of im in re 0.215 * [backup-simplify]: Simplify im into im 0.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (sqrt 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.219 * [taylor]: Taking taylor expansion of 1 in im 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of 0 in im 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.222 * [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 0.223 * [backup-simplify]: Simplify 1/2 into 1/2 0.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.223 * [taylor]: Taking taylor expansion of im in im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.232 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.232 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.232 * [taylor]: Taking taylor expansion of re in im 0.232 * [backup-simplify]: Simplify re into re 0.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.232 * [taylor]: Taking taylor expansion of im in im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [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 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.238 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.242 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.242 * [taylor]: Taking taylor expansion of im in re 0.242 * [backup-simplify]: Simplify im into im 0.242 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.242 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [taylor]: Taking taylor expansion of 1 in im 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of 0 in im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.249 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.249 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.249 * [taylor]: Taking taylor expansion of 1/2 in im 0.249 * [backup-simplify]: Simplify 1/2 into 1/2 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.250 * [taylor]: Taking taylor expansion of im in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in im 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 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 0.256 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.257 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.257 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.257 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.257 * [backup-simplify]: Simplify re into re 0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.257 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.257 * [taylor]: Taking taylor expansion of re in im 0.257 * [backup-simplify]: Simplify re into re 0.257 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.257 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.257 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.257 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.258 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [backup-simplify]: Simplify im into im 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.258 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.258 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.258 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [backup-simplify]: Simplify im into im 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.259 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.259 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 im) into im 0.259 * [taylor]: Taking taylor expansion of im in im 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ 1 0) into 1 0.260 * [taylor]: Taking taylor expansion of 1 in im 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.261 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.261 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.261 * [taylor]: Taking taylor expansion of 1/2 in im 0.261 * [backup-simplify]: Simplify 1/2 into 1/2 0.261 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.265 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.265 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.265 * [backup-simplify]: Simplify re into re 0.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.265 * [taylor]: Taking taylor expansion of re in im 0.265 * [backup-simplify]: Simplify re into re 0.265 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ 0 1) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.269 * [taylor]: Taking taylor expansion of im in re 0.269 * [backup-simplify]: Simplify im into im 0.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [backup-simplify]: Simplify (sqrt 1) into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 re) 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 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [backup-simplify]: Simplify im into im 0.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.273 * [backup-simplify]: Simplify (+ 1 0) into 1 0.273 * [backup-simplify]: Simplify (sqrt 1) into 1 0.274 * [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 0.275 * [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 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.278 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.278 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.278 * [taylor]: Taking taylor expansion of 1/2 in im 0.278 * [backup-simplify]: Simplify 1/2 into 1/2 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.278 * [taylor]: Taking taylor expansion of im in im 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.289 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.289 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.289 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.289 * [taylor]: Taking taylor expansion of re in im 0.289 * [backup-simplify]: Simplify re into re 0.289 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.290 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.290 * [taylor]: Taking taylor expansion of im in im 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.294 * [backup-simplify]: Simplify (+ 0 1) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.297 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.297 * [taylor]: Taking taylor expansion of re in im 0.297 * [backup-simplify]: Simplify re into re 0.297 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.297 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1 1) into 1 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.298 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.298 * [taylor]: Taking taylor expansion of im in re 0.298 * [backup-simplify]: Simplify im into im 0.298 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.298 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.299 * [backup-simplify]: Simplify (sqrt 1) into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.307 * [taylor]: Taking taylor expansion of re in re 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [backup-simplify]: Simplify (- 1) into -1 0.308 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.308 * [taylor]: Taking taylor expansion of 0 in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in im 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.314 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.315 * [taylor]: Taking taylor expansion of 1/2 in im 0.315 * [backup-simplify]: Simplify 1/2 into 1/2 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in im 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.327 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.327 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.327 * [taylor]: Taking taylor expansion of (pow im 2) 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 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.327 * [taylor]: Taking taylor expansion of re in im 0.327 * [backup-simplify]: Simplify re into re 0.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.327 * [taylor]: Taking taylor expansion of im in re 0.327 * [backup-simplify]: Simplify im into im 0.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.327 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify 1 into 1 0.327 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.327 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.327 * [taylor]: Taking taylor expansion of im in re 0.327 * [backup-simplify]: Simplify im into im 0.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.327 * [taylor]: Taking taylor expansion of re in re 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.328 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.328 * [taylor]: Taking taylor expansion of im in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.329 * [taylor]: Taking taylor expansion of 0 in im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (+ 0 1) into 1 0.330 * [taylor]: Taking taylor expansion of 1 in im 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [taylor]: Taking taylor expansion of 0 in im 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [taylor]: Taking taylor expansion of 0 in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.337 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.337 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [backup-simplify]: Simplify re into re 0.337 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.337 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.337 * [taylor]: Taking taylor expansion of im in im 0.337 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify 1 into 1 0.338 * [backup-simplify]: Simplify (* 1 1) into 1 0.338 * [backup-simplify]: Simplify (/ 1 1) into 1 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.338 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.339 * [taylor]: Taking taylor expansion of im in re 0.339 * [backup-simplify]: Simplify im into im 0.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.340 * [taylor]: Taking taylor expansion of re in re 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (* 1 1) into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.340 * [taylor]: Taking taylor expansion of im in re 0.340 * [backup-simplify]: Simplify im into im 0.340 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.341 * [backup-simplify]: Simplify (+ 1 0) into 1 0.341 * [taylor]: Taking taylor expansion of 1 in im 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.345 * [taylor]: Taking taylor expansion of (pow im 2) 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 into 1 0.346 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [taylor]: Taking taylor expansion of 0 in im 0.349 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.357 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.357 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.357 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [backup-simplify]: Simplify re into re 0.357 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.357 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.359 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.359 * [taylor]: Taking taylor expansion of re in re 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.359 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.360 * [taylor]: Taking taylor expansion of im in re 0.360 * [backup-simplify]: Simplify im into im 0.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.360 * [taylor]: Taking taylor expansion of re in re 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (* 1 1) into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.361 * [taylor]: Taking taylor expansion of im in re 0.361 * [backup-simplify]: Simplify im into im 0.361 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.362 * [backup-simplify]: Simplify (+ 1 0) into 1 0.362 * [taylor]: Taking taylor expansion of 1 in im 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.370 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [taylor]: Taking taylor expansion of 0 in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.375 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [taylor]: Taking taylor expansion of 0 in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.378 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.378 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.378 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.378 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.378 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.378 * [taylor]: Taking taylor expansion of 2.0 in im 0.378 * [backup-simplify]: Simplify 2.0 into 2.0 0.379 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.380 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [backup-simplify]: Simplify re into re 0.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.380 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.380 * [taylor]: Taking taylor expansion of im in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.380 * [taylor]: Taking taylor expansion of re in im 0.380 * [backup-simplify]: Simplify re into re 0.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.380 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.380 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.381 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.381 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.381 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.382 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.382 * [taylor]: Taking taylor expansion of 2.0 in re 0.382 * [backup-simplify]: Simplify 2.0 into 2.0 0.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.383 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.383 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.383 * [taylor]: Taking taylor expansion of im in re 0.383 * [backup-simplify]: Simplify im into im 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.384 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.384 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 im) into im 0.385 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.385 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.385 * [taylor]: Taking taylor expansion of 2.0 in re 0.385 * [backup-simplify]: Simplify 2.0 into 2.0 0.385 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.386 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.386 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.386 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.386 * [taylor]: Taking taylor expansion of im in re 0.386 * [backup-simplify]: Simplify im into im 0.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.386 * [taylor]: Taking taylor expansion of re in re 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.386 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.387 * [backup-simplify]: Simplify (+ 0 im) into im 0.387 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.387 * [backup-simplify]: Simplify (+ 1 0) into 1 0.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.387 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.387 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 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 0.388 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.388 * [taylor]: Taking taylor expansion of im in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (sqrt 0) into 0 0.390 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.390 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.390 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.390 * [taylor]: Taking taylor expansion of 1/2 in im 0.390 * [backup-simplify]: Simplify 1/2 into 1/2 0.390 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.390 * [taylor]: Taking taylor expansion of 2.0 in im 0.390 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.391 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.391 * [taylor]: Taking taylor expansion of im in im 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [backup-simplify]: Simplify (sqrt 0) into 0 0.392 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.394 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.394 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.396 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.397 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.398 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.399 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.400 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.400 * [backup-simplify]: Simplify (* 1 1) into 1 0.400 * [backup-simplify]: Simplify (+ 0 1) into 1 0.400 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.401 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.401 * [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)))) 0.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.402 * [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))))) 0.402 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.402 * [taylor]: Taking taylor expansion of 1/8 in im 0.402 * [backup-simplify]: Simplify 1/8 into 1/8 0.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) 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 0.403 * [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 (sqrt (/ 1 (pow im 3))) in im 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.403 * [taylor]: Taking taylor expansion of (pow im 3) 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 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (sqrt 0) into 0 0.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.409 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.410 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.412 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.419 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.424 * [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))))))) 0.424 * [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 re 2)) (/ 1 (pow im 2))))))) 0.424 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.424 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (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 0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [backup-simplify]: Simplify re into re 0.429 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.429 * [taylor]: Taking taylor expansion of re in im 0.429 * [backup-simplify]: Simplify re into re 0.429 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.429 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.429 * [taylor]: Taking taylor expansion of im in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.431 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (sqrt 1) into 1 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.434 * [backup-simplify]: Simplify (+ 0 1) into 1 0.435 * [backup-simplify]: Simplify (sqrt 0) into 0 0.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.436 * [taylor]: Taking taylor expansion of 2.0 in re 0.436 * [backup-simplify]: Simplify 2.0 into 2.0 0.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.438 * [backup-simplify]: Simplify (/ 1 1) into 1 0.438 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.438 * [taylor]: Taking taylor expansion of re in re 0.438 * [backup-simplify]: Simplify 0 into 0 0.438 * [backup-simplify]: Simplify 1 into 1 0.439 * [backup-simplify]: Simplify (* 1 1) into 1 0.439 * [backup-simplify]: Simplify (/ 1 1) into 1 0.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.439 * [taylor]: Taking taylor expansion of im in re 0.439 * [backup-simplify]: Simplify im into im 0.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.439 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.440 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (sqrt 1) into 1 0.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.443 * [backup-simplify]: Simplify (+ 1 1) into 2 0.444 * [backup-simplify]: Simplify (sqrt 0) into 0 0.445 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.445 * [taylor]: Taking taylor expansion of 2.0 in re 0.445 * [backup-simplify]: Simplify 2.0 into 2.0 0.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.447 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.447 * [taylor]: Taking taylor expansion of re in re 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (/ 1 1) into 1 0.447 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.447 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.447 * [taylor]: Taking taylor expansion of re in re 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.448 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ 1 1) into 1 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.448 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.448 * [taylor]: Taking taylor expansion of im in re 0.448 * [backup-simplify]: Simplify im into im 0.448 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.448 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.449 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.452 * [backup-simplify]: Simplify (+ 1 1) into 2 0.453 * [backup-simplify]: Simplify (sqrt 0) into 0 0.454 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.455 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.455 * [taylor]: Taking taylor expansion of 0 in im 0.455 * [backup-simplify]: Simplify 0 into 0 0.457 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.457 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.457 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.457 * [taylor]: Taking taylor expansion of +nan.0 in im 0.457 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.457 * [taylor]: Taking taylor expansion of 2.0 in im 0.457 * [backup-simplify]: Simplify 2.0 into 2.0 0.458 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.458 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.464 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.467 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.467 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.467 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.467 * [taylor]: Taking taylor expansion of +nan.0 in im 0.467 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.467 * [taylor]: Taking taylor expansion of 2.0 in im 0.467 * [backup-simplify]: Simplify 2.0 into 2.0 0.468 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.469 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.471 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.472 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.472 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.475 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.475 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.476 * [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)) 0.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.478 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.478 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.478 * [taylor]: Taking taylor expansion of +nan.0 in im 0.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.478 * [taylor]: Taking taylor expansion of 2.0 in im 0.478 * [backup-simplify]: Simplify 2.0 into 2.0 0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.479 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.479 * [taylor]: Taking taylor expansion of +nan.0 in im 0.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.479 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.479 * [taylor]: Taking taylor expansion of 2.0 in im 0.479 * [backup-simplify]: Simplify 2.0 into 2.0 0.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.481 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.481 * [taylor]: Taking taylor expansion of im in im 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.483 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify (+ 0 0) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.486 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.487 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.487 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.487 * [backup-simplify]: Simplify (- 0) into 0 0.487 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.491 * [backup-simplify]: Simplify (+ 0 0) into 0 0.491 * [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))) 0.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.494 * [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)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.494 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.494 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.503 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.504 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.505 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.508 * [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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.508 * [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 re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.508 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.508 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.508 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.508 * [taylor]: Taking taylor expansion of 2.0 in im 0.508 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.509 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.509 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.509 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.509 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [backup-simplify]: Simplify re into re 0.509 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.509 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.509 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.509 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.510 * [backup-simplify]: Simplify (sqrt 1) into 1 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.512 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.512 * [taylor]: Taking taylor expansion of re in im 0.512 * [backup-simplify]: Simplify re into re 0.512 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.512 * [backup-simplify]: Simplify (+ 1 0) into 1 0.512 * [backup-simplify]: Simplify (sqrt 0) into 0 0.514 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.514 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.514 * [taylor]: Taking taylor expansion of 2.0 in re 0.514 * [backup-simplify]: Simplify 2.0 into 2.0 0.514 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.514 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.514 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.514 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.514 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.515 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.515 * [taylor]: Taking taylor expansion of im in re 0.515 * [backup-simplify]: Simplify im into im 0.515 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.515 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.515 * [backup-simplify]: Simplify (+ 1 0) into 1 0.516 * [backup-simplify]: Simplify (sqrt 1) into 1 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.517 * [taylor]: Taking taylor expansion of re in re 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [backup-simplify]: Simplify (- 1) into -1 0.518 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- 0) into 0 0.519 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.521 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.522 * [backup-simplify]: Simplify (sqrt 0) into 0 0.523 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.523 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.523 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.523 * [taylor]: Taking taylor expansion of 2.0 in re 0.523 * [backup-simplify]: Simplify 2.0 into 2.0 0.523 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.523 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.523 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.523 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.523 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.523 * [taylor]: Taking taylor expansion of re in re 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.524 * [backup-simplify]: Simplify (* 1 1) into 1 0.524 * [backup-simplify]: Simplify (/ 1 1) into 1 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.524 * [taylor]: Taking taylor expansion of im in re 0.524 * [backup-simplify]: Simplify im into im 0.524 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.524 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.524 * [backup-simplify]: Simplify (+ 1 0) into 1 0.525 * [backup-simplify]: Simplify (sqrt 1) into 1 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [backup-simplify]: Simplify (- 1) into -1 0.527 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (- 0) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.532 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (- 0) into 0 0.533 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.534 * [backup-simplify]: Simplify (sqrt 0) into 0 0.534 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.535 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in im 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.536 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.536 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.536 * [taylor]: Taking taylor expansion of +nan.0 in im 0.536 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.536 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.536 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.536 * [taylor]: Taking taylor expansion of 2.0 in im 0.536 * [backup-simplify]: Simplify 2.0 into 2.0 0.537 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.538 * [taylor]: Taking taylor expansion of im in im 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- 0) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.554 * [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)))) 0.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.554 * [taylor]: Taking taylor expansion of +nan.0 in im 0.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.554 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.554 * [taylor]: Taking taylor expansion of 2.0 in im 0.554 * [backup-simplify]: Simplify 2.0 into 2.0 0.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.555 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.557 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.567 * [backup-simplify]: Simplify (- 0) into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- 0) into 0 0.571 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.571 * [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 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.573 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 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)))))) 0.573 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.573 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.573 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.573 * [taylor]: Taking taylor expansion of +nan.0 in im 0.573 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.573 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.573 * [taylor]: Taking taylor expansion of 2.0 in im 0.573 * [backup-simplify]: Simplify 2.0 into 2.0 0.573 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.574 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.574 * [backup-simplify]: Simplify (* 1 1) into 1 0.575 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.575 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.575 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.575 * [taylor]: Taking taylor expansion of +nan.0 in im 0.575 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.575 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.575 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.575 * [taylor]: Taking taylor expansion of 2.0 in im 0.575 * [backup-simplify]: Simplify 2.0 into 2.0 0.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.576 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.576 * [taylor]: Taking taylor expansion of im in im 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.576 * [backup-simplify]: Simplify (* 1 1) into 1 0.577 * [backup-simplify]: Simplify (* 1 1) into 1 0.577 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (- 0) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * * * [progress]: simplifying candidates 0.602 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (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 (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (- (+ (* +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) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 0.603 * * [simplify]: iteration 0: 108 enodes 0.626 * * [simplify]: iteration 1: 291 enodes 0.798 * * [simplify]: iteration 2: 1381 enodes 1.230 * * [simplify]: iteration complete: 5001 enodes 1.230 * * [simplify]: Extracting #0: cost 55 inf + 0 1.231 * * [simplify]: Extracting #1: cost 403 inf + 7 1.235 * * [simplify]: Extracting #2: cost 1666 inf + 267 1.253 * * [simplify]: Extracting #3: cost 1544 inf + 6027 1.269 * * [simplify]: Extracting #4: cost 273 inf + 19048 1.283 * * [simplify]: Extracting #5: cost 56 inf + 21431 1.297 * * [simplify]: Extracting #6: cost 8 inf + 21723 1.311 * * [simplify]: Extracting #7: cost 0 inf + 21779 1.326 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (pow (sqrt (+ (* im im) (* re re))) 3) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (- (pow im 4) (* (* (* im im) re) re)) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (pow (+ (sqrt (+ (* im im) (* re re))) re) 3) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3)) (+ (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (* re re)) (* im im)) (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (exp (+ (* im im) (* re re))) (log (+ (* im im) (* re re))) (exp (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (pow (+ (* im im) (* re re)) 3) (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re))) (+ (pow re 6) (pow im 6)) (+ (- (pow im 4) (* (* (* im im) re) re)) (pow re 4)) (- (pow re 4) (pow im 4)) (* (+ re im) (- re im)) (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* im im) (* re re))) 3) (pow re 3)))) (sqrt (+ (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (* re re)) (* im im))) (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) im re (- re) (+ re im) (* 2 re) 0 (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (- (* +nan.0 (* (* re re) (sqrt 2.0)))) (* (* +nan.0 (sqrt 2.0)) (- im re))) (+ (* +nan.0 (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re)))) (- (* +nan.0 (sqrt 2.0)))) 0 1.327 * * * [progress]: adding candidates to table 1.715 * * [progress]: iteration 2 / 4 1.715 * * * [progress]: picking best candidate 1.755 * * * * [pick]: Picked # 1.755 * * * [progress]: localizing error 1.794 * * * [progress]: generating rewritten candidates 1.794 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.801 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.807 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.814 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.922 * * * [progress]: generating series expansions 1.922 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.922 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 1.923 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 1.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.923 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 1.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.923 * [taylor]: Taking taylor expansion of im in re 1.923 * [backup-simplify]: Simplify im into im 1.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.923 * [taylor]: Taking taylor expansion of re in re 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.923 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.923 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.924 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.924 * [taylor]: Taking taylor expansion of im in im 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.924 * [taylor]: Taking taylor expansion of re in im 1.924 * [backup-simplify]: Simplify re into re 1.924 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.925 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.925 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.925 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.925 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.925 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.925 * [taylor]: Taking taylor expansion of im in im 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.926 * [taylor]: Taking taylor expansion of re in im 1.926 * [backup-simplify]: Simplify re into re 1.926 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.926 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.926 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.926 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.926 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.927 * [taylor]: Taking taylor expansion of re in re 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [taylor]: Taking taylor expansion of 0 in re 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 1 into 1 1.927 * [backup-simplify]: Simplify (* 1 1) into 1 1.928 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.928 * [backup-simplify]: Simplify (+ 1 0) into 1 1.929 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.929 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.929 * [taylor]: Taking taylor expansion of 1/2 in re 1.929 * [backup-simplify]: Simplify 1/2 into 1/2 1.929 * [taylor]: Taking taylor expansion of re in re 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.932 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in re 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 1.934 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.934 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.934 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.934 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.934 * [taylor]: Taking taylor expansion of re in re 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.935 * [taylor]: Taking taylor expansion of im in re 1.935 * [backup-simplify]: Simplify im into im 1.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (sqrt 1) into 1 1.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.937 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.938 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.938 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.938 * [taylor]: Taking taylor expansion of re in im 1.938 * [backup-simplify]: Simplify re into re 1.938 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.938 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.938 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.938 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.938 * [taylor]: Taking taylor expansion of im in im 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (* 1 1) into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [backup-simplify]: Simplify (+ 0 1) into 1 1.939 * [backup-simplify]: Simplify (sqrt 1) into 1 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.943 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.943 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.943 * [taylor]: Taking taylor expansion of re in im 1.943 * [backup-simplify]: Simplify re into re 1.944 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.944 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [backup-simplify]: Simplify (+ 0 1) into 1 1.945 * [backup-simplify]: Simplify (sqrt 1) into 1 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.946 * [taylor]: Taking taylor expansion of 1 in re 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [taylor]: Taking taylor expansion of 0 in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.948 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 1.948 * [taylor]: Taking taylor expansion of 1/2 in re 1.948 * [backup-simplify]: Simplify 1/2 into 1/2 1.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.948 * [taylor]: Taking taylor expansion of re in re 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.949 * [backup-simplify]: Simplify (* 1 1) into 1 1.949 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in re 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 1.954 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 1.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.954 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.954 * [taylor]: Taking taylor expansion of re in re 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.954 * [backup-simplify]: Simplify (/ 1 1) into 1 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.954 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.954 * [taylor]: Taking taylor expansion of im in re 1.954 * [backup-simplify]: Simplify im into im 1.954 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.955 * [backup-simplify]: Simplify (+ 1 0) into 1 1.955 * [backup-simplify]: Simplify (sqrt 1) into 1 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.957 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.957 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.957 * [taylor]: Taking taylor expansion of re in im 1.957 * [backup-simplify]: Simplify re into re 1.957 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.957 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.957 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.957 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.957 * [taylor]: Taking taylor expansion of im in im 1.957 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (* 1 1) into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [backup-simplify]: Simplify (+ 0 1) into 1 1.959 * [backup-simplify]: Simplify (sqrt 1) into 1 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.960 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.960 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.960 * [taylor]: Taking taylor expansion of re in im 1.960 * [backup-simplify]: Simplify re into re 1.960 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.960 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.960 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.961 * [taylor]: Taking taylor expansion of im in im 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [backup-simplify]: Simplify (+ 0 1) into 1 1.962 * [backup-simplify]: Simplify (sqrt 1) into 1 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.963 * [taylor]: Taking taylor expansion of 1 in re 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of 0 in re 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.966 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.966 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 1.966 * [taylor]: Taking taylor expansion of 1/2 in re 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.966 * [taylor]: Taking taylor expansion of re in re 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.967 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in re 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 1.972 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.972 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 1.972 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 1.972 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 1.973 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.973 * [taylor]: Taking taylor expansion of re in re 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.973 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 1.973 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.973 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.973 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.973 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.973 * [taylor]: Taking taylor expansion of re in im 1.973 * [backup-simplify]: Simplify re into re 1.973 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.974 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.974 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.974 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.974 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 1.974 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 1.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.974 * [taylor]: Taking taylor expansion of im in im 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.974 * [taylor]: Taking taylor expansion of re in im 1.974 * [backup-simplify]: Simplify re into re 1.974 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.974 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 1.974 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.974 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.975 * [taylor]: Taking taylor expansion of re in re 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [taylor]: Taking taylor expansion of 0 in re 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.976 * [backup-simplify]: Simplify (+ 1 0) into 1 1.976 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.976 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.976 * [taylor]: Taking taylor expansion of 1/2 in re 1.976 * [backup-simplify]: Simplify 1/2 into 1/2 1.976 * [taylor]: Taking taylor expansion of re in re 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.978 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in re 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 1.979 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.979 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 1.979 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.980 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [backup-simplify]: Simplify im into im 1.980 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.980 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.980 * [backup-simplify]: Simplify (+ 1 0) into 1 1.981 * [backup-simplify]: Simplify (sqrt 1) into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [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 (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.982 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.982 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.982 * [taylor]: Taking taylor expansion of re in im 1.982 * [backup-simplify]: Simplify re into re 1.982 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.982 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.982 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.982 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.982 * [taylor]: Taking taylor expansion of im in im 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify (+ 0 1) into 1 1.983 * [backup-simplify]: Simplify (sqrt 1) into 1 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 1.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.985 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.985 * [taylor]: Taking taylor expansion of re in im 1.985 * [backup-simplify]: Simplify re into re 1.985 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.985 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.985 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.985 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.985 * [taylor]: Taking taylor expansion of im in im 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 1 into 1 1.986 * [backup-simplify]: Simplify (* 1 1) into 1 1.986 * [backup-simplify]: Simplify (/ 1 1) into 1 1.986 * [backup-simplify]: Simplify (+ 0 1) into 1 1.986 * [backup-simplify]: Simplify (sqrt 1) into 1 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.988 * [taylor]: Taking taylor expansion of 1 in re 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [taylor]: Taking taylor expansion of 0 in re 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 1.990 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.990 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 1.990 * [taylor]: Taking taylor expansion of 1/2 in re 1.990 * [backup-simplify]: Simplify 1/2 into 1/2 1.990 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.990 * [taylor]: Taking taylor expansion of re in re 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.994 * [taylor]: Taking taylor expansion of 0 in re 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 1.995 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 1.995 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.995 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (* 1 1) into 1 1.996 * [backup-simplify]: Simplify (/ 1 1) into 1 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)) 1.997 * [backup-simplify]: Simplify (+ 1 0) into 1 1.997 * [backup-simplify]: Simplify (sqrt 1) into 1 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 2.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.000 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.000 * [taylor]: Taking taylor expansion of re in im 2.000 * [backup-simplify]: Simplify re into re 2.000 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.000 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.000 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.000 * [taylor]: Taking taylor expansion of im in im 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.001 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [backup-simplify]: Simplify (+ 0 1) into 1 2.002 * [backup-simplify]: Simplify (sqrt 1) into 1 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.004 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.004 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.004 * [taylor]: Taking taylor expansion of re in im 2.004 * [backup-simplify]: Simplify re into re 2.004 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.005 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [backup-simplify]: Simplify (+ 0 1) into 1 2.006 * [backup-simplify]: Simplify (sqrt 1) into 1 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.009 * [taylor]: Taking taylor expansion of 1 in re 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [taylor]: Taking taylor expansion of 0 in re 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.012 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.012 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 2.012 * [taylor]: Taking taylor expansion of 1/2 in re 2.012 * [backup-simplify]: Simplify 1/2 into 1/2 2.012 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.012 * [taylor]: Taking taylor expansion of re in re 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.013 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.018 * [taylor]: Taking taylor expansion of 0 in re 2.018 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 2.020 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 2.021 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 2.021 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.021 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 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 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.021 * [taylor]: Taking taylor expansion of re in re 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.021 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.021 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.021 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.022 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.022 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.022 * [taylor]: Taking taylor expansion of im in im 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.022 * [taylor]: Taking taylor expansion of re in im 2.022 * [backup-simplify]: Simplify re into re 2.022 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.022 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.022 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.023 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.023 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.023 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [backup-simplify]: Simplify re into re 2.023 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.024 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.024 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.024 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify 0 into 0 2.025 * [taylor]: Taking taylor expansion of 0 in re 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.025 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.027 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.027 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 2.027 * [taylor]: Taking taylor expansion of 1/2 in re 2.027 * [backup-simplify]: Simplify 1/2 into 1/2 2.027 * [taylor]: Taking taylor expansion of re in re 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.030 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.030 * [taylor]: Taking taylor expansion of 0 in re 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 2.032 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.032 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 2.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.032 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.032 * [taylor]: Taking taylor expansion of re in re 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.033 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.033 * [taylor]: Taking taylor expansion of im in re 2.033 * [backup-simplify]: Simplify im into im 2.033 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.034 * [backup-simplify]: Simplify (+ 1 0) into 1 2.034 * [backup-simplify]: Simplify (sqrt 1) into 1 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.037 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.037 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.037 * [taylor]: Taking taylor expansion of re in im 2.037 * [backup-simplify]: Simplify re into re 2.037 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.037 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 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 2.037 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 2.039 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [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 re 2)) (/ 1 (pow im 2)))) in im 2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.042 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.042 * [taylor]: Taking taylor expansion of re in im 2.042 * [backup-simplify]: Simplify re into re 2.042 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.042 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.042 * [taylor]: Taking taylor expansion of im in im 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (* 1 1) into 1 2.043 * [backup-simplify]: Simplify (/ 1 1) into 1 2.043 * [backup-simplify]: Simplify (+ 0 1) into 1 2.044 * [backup-simplify]: Simplify (sqrt 1) into 1 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.046 * [taylor]: Taking taylor expansion of 1 in re 2.046 * [backup-simplify]: Simplify 1 into 1 2.047 * [taylor]: Taking taylor expansion of 0 in re 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.050 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.050 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 2.050 * [taylor]: Taking taylor expansion of 1/2 in re 2.050 * [backup-simplify]: Simplify 1/2 into 1/2 2.050 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.050 * [taylor]: Taking taylor expansion of re in re 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (* 1 1) into 1 2.051 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.057 * [taylor]: Taking taylor expansion of 0 in re 2.057 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 2.059 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.059 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 2.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.060 * [taylor]: Taking taylor expansion of re in re 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (* 1 1) into 1 2.061 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.061 * [taylor]: Taking taylor expansion of im in re 2.061 * [backup-simplify]: Simplify im into im 2.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.061 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.064 * [backup-simplify]: Simplify (sqrt 1) into 1 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.067 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.067 * [taylor]: Taking taylor expansion of re in im 2.067 * [backup-simplify]: Simplify re into re 2.067 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.067 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.067 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.067 * [taylor]: Taking taylor expansion of im in im 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (* 1 1) into 1 2.068 * [backup-simplify]: Simplify (/ 1 1) into 1 2.068 * [backup-simplify]: Simplify (+ 0 1) into 1 2.069 * [backup-simplify]: Simplify (sqrt 1) into 1 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.071 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.071 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.071 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.071 * [taylor]: Taking taylor expansion of re in im 2.071 * [backup-simplify]: Simplify re into re 2.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.072 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.072 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.072 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.072 * [taylor]: Taking taylor expansion of im in im 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (* 1 1) into 1 2.073 * [backup-simplify]: Simplify (/ 1 1) into 1 2.073 * [backup-simplify]: Simplify (+ 0 1) into 1 2.073 * [backup-simplify]: Simplify (sqrt 1) into 1 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.076 * [taylor]: Taking taylor expansion of 1 in re 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of 0 in re 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.077 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.078 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.078 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 2.078 * [taylor]: Taking taylor expansion of 1/2 in re 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.078 * [taylor]: Taking taylor expansion of re in re 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 (/ 1/2 1) into 1/2 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 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 (+ (* re 0) (* 0 re)) into 0 2.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.082 * [taylor]: Taking taylor expansion of 0 in re 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 2.083 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.083 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 2.083 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (im re) around 0 2.083 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.083 * [taylor]: Taking taylor expansion of re in re 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.083 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.083 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.083 * [taylor]: Taking taylor expansion of im in re 2.084 * [backup-simplify]: Simplify im into im 2.084 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.084 * [taylor]: Taking taylor expansion of re in re 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.084 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.084 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.084 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.084 * [backup-simplify]: Simplify (+ 0 0) into 0 2.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.084 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 2.084 * [taylor]: Taking taylor expansion of re in im 2.084 * [backup-simplify]: Simplify re into re 2.084 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.084 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.084 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.084 * [taylor]: Taking taylor expansion of im in im 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 1 into 1 2.084 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.084 * [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) 2.085 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.085 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.085 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.085 * [backup-simplify]: Simplify (+ 0 0) into 0 2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.085 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 2.085 * [taylor]: Taking taylor expansion of re in im 2.085 * [backup-simplify]: Simplify re into re 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.085 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.085 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.085 * [taylor]: Taking taylor expansion of im in im 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.085 * [taylor]: Taking taylor expansion of re in im 2.085 * [backup-simplify]: Simplify re into re 2.085 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.085 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.085 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.085 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.086 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.086 * [taylor]: Taking taylor expansion of (* 2 re) in re 2.086 * [taylor]: Taking taylor expansion of 2 in re 2.086 * [backup-simplify]: Simplify 2 into 2 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 (* 2 0) into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [taylor]: Taking taylor expansion of 0 in re 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.087 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.087 * [backup-simplify]: Simplify 2 into 2 2.087 * [backup-simplify]: Simplify (* 1 1) into 1 2.088 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.088 * [backup-simplify]: Simplify (+ 1 0) into 1 2.088 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.088 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 2.088 * [taylor]: Taking taylor expansion of 1/2 in re 2.088 * [backup-simplify]: Simplify 1/2 into 1/2 2.088 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.088 * [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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [taylor]: Taking taylor expansion of 0 in re 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 2.094 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 2.094 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (im re) around 0 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.094 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.094 * [taylor]: Taking taylor expansion of re in re 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.094 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.094 * [taylor]: Taking taylor expansion of re in re 2.094 * [backup-simplify]: Simplify 0 into 0 2.094 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.095 * [taylor]: Taking taylor expansion of im in re 2.095 * [backup-simplify]: Simplify im into im 2.095 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.095 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.095 * [backup-simplify]: Simplify (+ 1 0) into 1 2.095 * [backup-simplify]: Simplify (sqrt 1) into 1 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ 0 0) into 0 2.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.097 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.097 * [taylor]: Taking taylor expansion of re in im 2.097 * [backup-simplify]: Simplify re into re 2.097 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.097 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.097 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.097 * [taylor]: Taking taylor expansion of re in im 2.097 * [backup-simplify]: Simplify re into re 2.097 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.097 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.097 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.097 * [taylor]: Taking taylor expansion of im in im 2.097 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify 1 into 1 2.097 * [backup-simplify]: Simplify (* 1 1) into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [backup-simplify]: Simplify (+ 0 1) into 1 2.098 * [backup-simplify]: Simplify (sqrt 1) into 1 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.100 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.100 * [taylor]: Taking taylor expansion of re in im 2.100 * [backup-simplify]: Simplify re into re 2.100 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.100 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.100 * [taylor]: Taking taylor expansion of re in im 2.100 * [backup-simplify]: Simplify re into re 2.100 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.100 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.100 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.100 * [taylor]: Taking taylor expansion of im in im 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.101 * [backup-simplify]: Simplify (+ 0 1) into 1 2.101 * [backup-simplify]: Simplify (sqrt 1) into 1 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.103 * [backup-simplify]: Simplify (+ 0 1) into 1 2.103 * [taylor]: Taking taylor expansion of 1 in re 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.103 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.106 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.106 * [taylor]: Taking taylor expansion of 1/2 in re 2.106 * [backup-simplify]: Simplify 1/2 into 1/2 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 2.107 * [backup-simplify]: Simplify (/ 1 1) into 1 2.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in re 2.111 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 2.116 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re)))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.116 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (im re) around 0 2.116 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.116 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.116 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.116 * [taylor]: Taking taylor expansion of re in re 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* 1 1) into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.117 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.117 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.117 * [taylor]: Taking taylor expansion of im in re 2.117 * [backup-simplify]: Simplify im into im 2.118 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.118 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.118 * [backup-simplify]: Simplify (sqrt 1) into 1 2.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.121 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.121 * [taylor]: Taking taylor expansion of re in re 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.121 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.122 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.122 * [taylor]: Taking taylor expansion of re in im 2.122 * [backup-simplify]: Simplify re into re 2.122 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.122 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.122 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.122 * [taylor]: Taking taylor expansion of im in im 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.123 * [backup-simplify]: Simplify (/ 1 1) into 1 2.123 * [backup-simplify]: Simplify (+ 0 1) into 1 2.123 * [backup-simplify]: Simplify (sqrt 1) into 1 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.126 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.126 * [taylor]: Taking taylor expansion of re in im 2.126 * [backup-simplify]: Simplify re into re 2.126 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.126 * [taylor]: Taking taylor expansion of re in im 2.126 * [backup-simplify]: Simplify re into re 2.126 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.127 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.127 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.127 * [taylor]: Taking taylor expansion of im in im 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify (+ 0 1) into 1 2.128 * [backup-simplify]: Simplify (sqrt 1) into 1 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.131 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.131 * [taylor]: Taking taylor expansion of re in im 2.131 * [backup-simplify]: Simplify re into re 2.131 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.131 * [backup-simplify]: Simplify (+ 1 0) into 1 2.132 * [taylor]: Taking taylor expansion of 1 in re 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.132 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.132 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.132 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.132 * [taylor]: Taking taylor expansion of re in re 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (/ 1 1) into 1 2.133 * [backup-simplify]: Simplify (- 1) into -1 2.133 * [backup-simplify]: Simplify -1 into -1 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.137 * [backup-simplify]: Simplify (- 0) into 0 2.137 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.137 * [taylor]: Taking taylor expansion of 1/2 in re 2.137 * [backup-simplify]: Simplify 1/2 into 1/2 2.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.137 * [taylor]: Taking taylor expansion of re in re 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (* 1 1) into 1 2.138 * [backup-simplify]: Simplify (/ 1 1) into 1 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (- 0) into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.145 * [backup-simplify]: Simplify (- 0) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [taylor]: Taking taylor expansion of 0 in re 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- 0) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im) 2.150 * * * [progress]: simplifying candidates 2.153 * [simplify]: Simplifying: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (exp (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (exp re)) (log (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (exp (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (* (cbrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))) (cbrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (* (* (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (+ (pow (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))) (- (* (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) re im (* -1 im) re im (* -1 im) re im (* -1 im) (* 2 re) (+ re im) (- re im) 2.155 * * [simplify]: iteration 0: 62 enodes 2.166 * * [simplify]: iteration 1: 164 enodes 2.210 * * [simplify]: iteration 2: 453 enodes 2.382 * * [simplify]: iteration 3: 1790 enodes 2.877 * * [simplify]: iteration complete: 5000 enodes 2.877 * * [simplify]: Extracting #0: cost 31 inf + 0 2.878 * * [simplify]: Extracting #1: cost 199 inf + 6 2.882 * * [simplify]: Extracting #2: cost 967 inf + 49 2.891 * * [simplify]: Extracting #3: cost 1664 inf + 541 2.901 * * [simplify]: Extracting #4: cost 1237 inf + 8514 2.914 * * [simplify]: Extracting #5: cost 395 inf + 25109 2.929 * * [simplify]: Extracting #6: cost 59 inf + 31819 2.936 * * [simplify]: Extracting #7: cost 10 inf + 32303 2.941 * * [simplify]: Extracting #8: cost 0 inf + 32373 2.947 * [simplify]: Simplified to: (log (sqrt (+ (pow re 2) (* im im)))) (exp (sqrt (+ (pow re 2) (* im im)))) (cbrt (+ (pow re 2) (* im im))) (cbrt (sqrt (+ (pow re 2) (* im im)))) (pow (sqrt (+ (pow re 2) (* im im))) 3) (fabs (cbrt (+ (pow re 2) (* im im)))) (sqrt (cbrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) 1 (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (pow re 4) (* (* im im) (* (- im re) (+ im re))))) (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (- im re) (+ im re))) 1/2 (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (log (sqrt (+ (pow re 2) (* im im)))) (exp (sqrt (+ (pow re 2) (* im im)))) (cbrt (+ (pow re 2) (* im im))) (cbrt (sqrt (+ (pow re 2) (* im im)))) (pow (sqrt (+ (pow re 2) (* im im))) 3) (fabs (cbrt (+ (pow re 2) (* im im)))) (sqrt (cbrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) 1 (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (pow re 4) (* (* im im) (* (- im re) (+ im re))))) (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (- im re) (+ im re))) 1/2 (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (log (sqrt (+ (pow re 2) (* im im)))) (exp (sqrt (+ (pow re 2) (* im im)))) (cbrt (+ (pow re 2) (* im im))) (cbrt (sqrt (+ (pow re 2) (* im im)))) (pow (sqrt (+ (pow re 2) (* im im))) 3) (fabs (cbrt (+ (pow re 2) (* im im)))) (sqrt (cbrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) 1 (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (pow re 4) (* (* im im) (* (- im re) (+ im re))))) (sqrt (- (pow im 4) (pow re 4))) (sqrt (* (- im re) (+ im re))) 1/2 (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (exp (+ re (sqrt (+ (pow re 2) (* im im))))) (log (+ re (sqrt (+ (pow re 2) (* im im))))) (exp (+ re (sqrt (+ (pow re 2) (* im im))))) (* (cbrt (+ re (sqrt (+ (pow re 2) (* im im))))) (cbrt (+ re (sqrt (+ (pow re 2) (* im im)))))) (cbrt (+ re (sqrt (+ (pow re 2) (* im im))))) (pow (+ re (sqrt (+ (pow re 2) (* im im)))) 3) (sqrt (+ re (sqrt (+ (pow re 2) (* im im))))) (sqrt (+ re (sqrt (+ (pow re 2) (* im im))))) (+ (pow (sqrt (+ (pow re 2) (* im im))) 3) (pow re 3)) (+ (* re (+ (- re (sqrt (+ (pow re 2) (* im im)))) re)) (* im im)) (+ (* im im) 0) (- (sqrt (+ (pow re 2) (* im im))) re) re im (- im) re im (- im) re im (- im) (* 2 re) (+ im re) (- re im) 2.948 * * * [progress]: adding candidates to table 3.409 * * [progress]: iteration 3 / 4 3.409 * * * [progress]: picking best candidate 3.455 * * * * [pick]: Picked # 3.455 * * * [progress]: localizing error 3.544 * * * [progress]: generating rewritten candidates 3.544 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 3.556 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 3.568 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1) 3.581 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 3.678 * * * [progress]: generating series expansions 3.678 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 3.678 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 3.678 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 3.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.678 * [taylor]: Taking taylor expansion of im in re 3.678 * [backup-simplify]: Simplify im into im 3.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.678 * [taylor]: Taking taylor expansion of re in re 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.679 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.679 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.679 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.679 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.679 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.679 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.679 * [taylor]: Taking taylor expansion of im in im 3.679 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.680 * [taylor]: Taking taylor expansion of re in im 3.680 * [backup-simplify]: Simplify re into re 3.680 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.680 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.680 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.680 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.680 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.680 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.680 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.680 * [taylor]: Taking taylor expansion of im in im 3.680 * [backup-simplify]: Simplify 0 into 0 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.680 * [taylor]: Taking taylor expansion of re in im 3.680 * [backup-simplify]: Simplify re into re 3.680 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.680 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.681 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.681 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.681 * [backup-simplify]: Simplify (+ 0 0) into 0 3.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.681 * [taylor]: Taking taylor expansion of re in re 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [taylor]: Taking taylor expansion of 0 in re 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.681 * [backup-simplify]: Simplify 1 into 1 3.681 * [backup-simplify]: Simplify (* 1 1) into 1 3.682 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.682 * [backup-simplify]: Simplify (+ 1 0) into 1 3.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.683 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 3.683 * [taylor]: Taking taylor expansion of 1/2 in re 3.683 * [backup-simplify]: Simplify 1/2 into 1/2 3.683 * [taylor]: Taking taylor expansion of re in re 3.683 * [backup-simplify]: Simplify 0 into 0 3.683 * [backup-simplify]: Simplify 1 into 1 3.683 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.685 * [backup-simplify]: Simplify (+ 0 0) into 0 3.685 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.685 * [taylor]: Taking taylor expansion of 0 in re 3.685 * [backup-simplify]: Simplify 0 into 0 3.685 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 3.686 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.686 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 3.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.686 * [taylor]: Taking taylor expansion of re in re 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (* 1 1) into 1 3.686 * [backup-simplify]: Simplify (/ 1 1) into 1 3.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.686 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.686 * [taylor]: Taking taylor expansion of im in re 3.686 * [backup-simplify]: Simplify im into im 3.687 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.687 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.687 * [backup-simplify]: Simplify (+ 1 0) into 1 3.687 * [backup-simplify]: Simplify (sqrt 1) into 1 3.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (+ 0 0) into 0 3.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.689 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.689 * [taylor]: Taking taylor expansion of re in im 3.689 * [backup-simplify]: Simplify re into re 3.690 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.690 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.690 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.690 * [taylor]: Taking taylor expansion of im in im 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.691 * [backup-simplify]: Simplify (+ 0 1) into 1 3.691 * [backup-simplify]: Simplify (sqrt 1) into 1 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.694 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.694 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.694 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.694 * [taylor]: Taking taylor expansion of re in im 3.694 * [backup-simplify]: Simplify re into re 3.694 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.694 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.694 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.694 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.694 * [taylor]: Taking taylor expansion of im in im 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.695 * [backup-simplify]: Simplify (* 1 1) into 1 3.695 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [backup-simplify]: Simplify (+ 0 1) into 1 3.696 * [backup-simplify]: Simplify (sqrt 1) into 1 3.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.698 * [backup-simplify]: Simplify (+ 0 0) into 0 3.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.699 * [taylor]: Taking taylor expansion of 1 in re 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [taylor]: Taking taylor expansion of 0 in re 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.700 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.702 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.702 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 3.702 * [taylor]: Taking taylor expansion of 1/2 in re 3.702 * [backup-simplify]: Simplify 1/2 into 1/2 3.702 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.702 * [taylor]: Taking taylor expansion of re in re 3.702 * [backup-simplify]: Simplify 0 into 0 3.702 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* 1 1) into 1 3.703 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.708 * [taylor]: Taking taylor expansion of 0 in re 3.708 * [backup-simplify]: Simplify 0 into 0 3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.713 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 3.713 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.713 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 3.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.713 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.713 * [taylor]: Taking taylor expansion of re in re 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 1 into 1 3.714 * [backup-simplify]: Simplify (* 1 1) into 1 3.714 * [backup-simplify]: Simplify (/ 1 1) into 1 3.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.715 * [taylor]: Taking taylor expansion of im in re 3.715 * [backup-simplify]: Simplify im into im 3.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.715 * [backup-simplify]: Simplify (+ 1 0) into 1 3.716 * [backup-simplify]: Simplify (sqrt 1) into 1 3.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (+ 0 0) into 0 3.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.718 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.718 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.718 * [taylor]: Taking taylor expansion of re in im 3.718 * [backup-simplify]: Simplify re into re 3.718 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.719 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.719 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.719 * [taylor]: Taking taylor expansion of im in im 3.719 * [backup-simplify]: Simplify 0 into 0 3.719 * [backup-simplify]: Simplify 1 into 1 3.719 * [backup-simplify]: Simplify (* 1 1) into 1 3.720 * [backup-simplify]: Simplify (/ 1 1) into 1 3.720 * [backup-simplify]: Simplify (+ 0 1) into 1 3.720 * [backup-simplify]: Simplify (sqrt 1) into 1 3.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.722 * [backup-simplify]: Simplify (+ 0 0) into 0 3.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.723 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.723 * [taylor]: Taking taylor expansion of re in im 3.723 * [backup-simplify]: Simplify re into re 3.723 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.723 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.724 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.724 * [taylor]: Taking taylor expansion of im in im 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (* 1 1) into 1 3.724 * [backup-simplify]: Simplify (/ 1 1) into 1 3.725 * [backup-simplify]: Simplify (+ 0 1) into 1 3.725 * [backup-simplify]: Simplify (sqrt 1) into 1 3.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.727 * [backup-simplify]: Simplify (+ 0 0) into 0 3.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.728 * [taylor]: Taking taylor expansion of 1 in re 3.728 * [backup-simplify]: Simplify 1 into 1 3.728 * [taylor]: Taking taylor expansion of 0 in re 3.728 * [backup-simplify]: Simplify 0 into 0 3.728 * [backup-simplify]: Simplify 1 into 1 3.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.730 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.732 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.732 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 3.732 * [taylor]: Taking taylor expansion of 1/2 in re 3.732 * [backup-simplify]: Simplify 1/2 into 1/2 3.732 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.732 * [taylor]: Taking taylor expansion of re in re 3.732 * [backup-simplify]: Simplify 0 into 0 3.732 * [backup-simplify]: Simplify 1 into 1 3.732 * [backup-simplify]: Simplify (* 1 1) into 1 3.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify 0 into 0 3.734 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.735 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.737 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.738 * [taylor]: Taking taylor expansion of 0 in re 3.738 * [backup-simplify]: Simplify 0 into 0 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify 0 into 0 3.740 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 3.740 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 3.740 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 3.741 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 3.741 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.741 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.741 * [taylor]: Taking taylor expansion of im in re 3.741 * [backup-simplify]: Simplify im into im 3.741 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.741 * [taylor]: Taking taylor expansion of re in re 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [backup-simplify]: Simplify 1 into 1 3.741 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.741 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.741 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.741 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.742 * [backup-simplify]: Simplify (+ 0 0) into 0 3.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.742 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.742 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.742 * [taylor]: Taking taylor expansion of im in im 3.742 * [backup-simplify]: Simplify 0 into 0 3.742 * [backup-simplify]: Simplify 1 into 1 3.742 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.742 * [taylor]: Taking taylor expansion of re in im 3.742 * [backup-simplify]: Simplify re into re 3.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.742 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.742 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.743 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.743 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.743 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.743 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.743 * [taylor]: Taking taylor expansion of im in im 3.743 * [backup-simplify]: Simplify 0 into 0 3.743 * [backup-simplify]: Simplify 1 into 1 3.743 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.743 * [taylor]: Taking taylor expansion of re in im 3.743 * [backup-simplify]: Simplify re into re 3.743 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.744 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.744 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.744 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.744 * [backup-simplify]: Simplify (+ 0 0) into 0 3.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.744 * [taylor]: Taking taylor expansion of re in re 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [taylor]: Taking taylor expansion of 0 in re 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 0 into 0 3.745 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (* 1 1) into 1 3.746 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.746 * [backup-simplify]: Simplify (+ 1 0) into 1 3.747 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.747 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 3.747 * [taylor]: Taking taylor expansion of 1/2 in re 3.747 * [backup-simplify]: Simplify 1/2 into 1/2 3.747 * [taylor]: Taking taylor expansion of re in re 3.747 * [backup-simplify]: Simplify 0 into 0 3.747 * [backup-simplify]: Simplify 1 into 1 3.747 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.750 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.750 * [backup-simplify]: Simplify (+ 0 0) into 0 3.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.750 * [taylor]: Taking taylor expansion of 0 in re 3.750 * [backup-simplify]: Simplify 0 into 0 3.750 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.751 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 3.752 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.752 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 3.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.752 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.752 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.752 * [taylor]: Taking taylor expansion of re in re 3.752 * [backup-simplify]: Simplify 0 into 0 3.752 * [backup-simplify]: Simplify 1 into 1 3.752 * [backup-simplify]: Simplify (* 1 1) into 1 3.753 * [backup-simplify]: Simplify (/ 1 1) into 1 3.753 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.753 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.753 * [taylor]: Taking taylor expansion of im in re 3.753 * [backup-simplify]: Simplify im into im 3.753 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.753 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.754 * [backup-simplify]: Simplify (+ 1 0) into 1 3.754 * [backup-simplify]: Simplify (sqrt 1) into 1 3.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.756 * [backup-simplify]: Simplify (+ 0 0) into 0 3.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.757 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.757 * [taylor]: Taking taylor expansion of re in im 3.757 * [backup-simplify]: Simplify re into re 3.757 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.757 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.757 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.757 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.757 * [taylor]: Taking taylor expansion of im in im 3.757 * [backup-simplify]: Simplify 0 into 0 3.757 * [backup-simplify]: Simplify 1 into 1 3.758 * [backup-simplify]: Simplify (* 1 1) into 1 3.758 * [backup-simplify]: Simplify (/ 1 1) into 1 3.759 * [backup-simplify]: Simplify (+ 0 1) into 1 3.759 * [backup-simplify]: Simplify (sqrt 1) into 1 3.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.761 * [backup-simplify]: Simplify (+ 0 0) into 0 3.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.762 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.762 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.762 * [taylor]: Taking taylor expansion of re in im 3.762 * [backup-simplify]: Simplify re into re 3.762 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.762 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.762 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.762 * [taylor]: Taking taylor expansion of im in im 3.762 * [backup-simplify]: Simplify 0 into 0 3.762 * [backup-simplify]: Simplify 1 into 1 3.762 * [backup-simplify]: Simplify (* 1 1) into 1 3.763 * [backup-simplify]: Simplify (/ 1 1) into 1 3.763 * [backup-simplify]: Simplify (+ 0 1) into 1 3.764 * [backup-simplify]: Simplify (sqrt 1) into 1 3.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.765 * [backup-simplify]: Simplify (+ 0 0) into 0 3.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.766 * [taylor]: Taking taylor expansion of 1 in re 3.766 * [backup-simplify]: Simplify 1 into 1 3.766 * [taylor]: Taking taylor expansion of 0 in re 3.766 * [backup-simplify]: Simplify 0 into 0 3.766 * [backup-simplify]: Simplify 1 into 1 3.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.768 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.770 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 3.770 * [taylor]: Taking taylor expansion of 1/2 in re 3.770 * [backup-simplify]: Simplify 1/2 into 1/2 3.770 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.770 * [taylor]: Taking taylor expansion of re in re 3.770 * [backup-simplify]: Simplify 0 into 0 3.770 * [backup-simplify]: Simplify 1 into 1 3.771 * [backup-simplify]: Simplify (* 1 1) into 1 3.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.776 * [backup-simplify]: Simplify (+ 0 0) into 0 3.777 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.777 * [taylor]: Taking taylor expansion of 0 in re 3.777 * [backup-simplify]: Simplify 0 into 0 3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify 0 into 0 3.779 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 3.780 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.780 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 3.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.780 * [taylor]: Taking taylor expansion of re in re 3.780 * [backup-simplify]: Simplify 0 into 0 3.780 * [backup-simplify]: Simplify 1 into 1 3.780 * [backup-simplify]: Simplify (* 1 1) into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.781 * [taylor]: Taking taylor expansion of im in re 3.781 * [backup-simplify]: Simplify im into im 3.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.782 * [backup-simplify]: Simplify (+ 1 0) into 1 3.782 * [backup-simplify]: Simplify (sqrt 1) into 1 3.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.784 * [backup-simplify]: Simplify (+ 0 0) into 0 3.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.785 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.785 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.785 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.785 * [taylor]: Taking taylor expansion of re in im 3.785 * [backup-simplify]: Simplify re into re 3.785 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.785 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.786 * [taylor]: Taking taylor expansion of im in im 3.786 * [backup-simplify]: Simplify 0 into 0 3.786 * [backup-simplify]: Simplify 1 into 1 3.786 * [backup-simplify]: Simplify (* 1 1) into 1 3.787 * [backup-simplify]: Simplify (/ 1 1) into 1 3.787 * [backup-simplify]: Simplify (+ 0 1) into 1 3.788 * [backup-simplify]: Simplify (sqrt 1) into 1 3.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.789 * [backup-simplify]: Simplify (+ 0 0) into 0 3.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.790 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.790 * [taylor]: Taking taylor expansion of re in im 3.790 * [backup-simplify]: Simplify re into re 3.790 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.791 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.791 * [taylor]: Taking taylor expansion of im in im 3.791 * [backup-simplify]: Simplify 0 into 0 3.791 * [backup-simplify]: Simplify 1 into 1 3.791 * [backup-simplify]: Simplify (* 1 1) into 1 3.792 * [backup-simplify]: Simplify (/ 1 1) into 1 3.792 * [backup-simplify]: Simplify (+ 0 1) into 1 3.792 * [backup-simplify]: Simplify (sqrt 1) into 1 3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.794 * [backup-simplify]: Simplify (+ 0 0) into 0 3.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.795 * [taylor]: Taking taylor expansion of 1 in re 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [taylor]: Taking taylor expansion of 0 in re 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 3.799 * [taylor]: Taking taylor expansion of 1/2 in re 3.799 * [backup-simplify]: Simplify 1/2 into 1/2 3.799 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.799 * [taylor]: Taking taylor expansion of re in re 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 1 into 1 3.800 * [backup-simplify]: Simplify (* 1 1) into 1 3.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.805 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.805 * [taylor]: Taking taylor expansion of 0 in re 3.806 * [backup-simplify]: Simplify 0 into 0 3.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 3.808 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1) 3.808 * [backup-simplify]: Simplify (sqrt (+ (pow re 2) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 3.808 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 3.808 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.808 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.808 * [taylor]: Taking taylor expansion of im in im 3.808 * [backup-simplify]: Simplify 0 into 0 3.808 * [backup-simplify]: Simplify 1 into 1 3.808 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.808 * [taylor]: Taking taylor expansion of re in im 3.808 * [backup-simplify]: Simplify re into re 3.808 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.808 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.809 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.809 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.809 * [backup-simplify]: Simplify (+ 0 0) into 0 3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.809 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.809 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.809 * [taylor]: Taking taylor expansion of im in re 3.809 * [backup-simplify]: Simplify im into im 3.809 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.809 * [taylor]: Taking taylor expansion of re in re 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.810 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.810 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.810 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.810 * [backup-simplify]: Simplify (+ 0 0) into 0 3.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.811 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.811 * [taylor]: Taking taylor expansion of im in re 3.811 * [backup-simplify]: Simplify im into im 3.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.811 * [taylor]: Taking taylor expansion of re in re 3.811 * [backup-simplify]: Simplify 0 into 0 3.811 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.811 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.811 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.812 * [backup-simplify]: Simplify (+ 0 0) into 0 3.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.812 * [taylor]: Taking taylor expansion of im in im 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [taylor]: Taking taylor expansion of 0 in im 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 0 into 0 3.812 * [backup-simplify]: Simplify 1 into 1 3.813 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.813 * [backup-simplify]: Simplify (* 1 1) into 1 3.813 * [backup-simplify]: Simplify (+ 0 1) into 1 3.814 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.814 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.814 * [taylor]: Taking taylor expansion of 1/2 in im 3.814 * [backup-simplify]: Simplify 1/2 into 1/2 3.814 * [taylor]: Taking taylor expansion of im in im 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 1 into 1 3.815 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 0 into 0 3.817 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.818 * [taylor]: Taking taylor expansion of 0 in im 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify 0 into 0 3.819 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.819 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 re) 2) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.819 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.820 * [taylor]: Taking taylor expansion of re in im 3.820 * [backup-simplify]: Simplify re into re 3.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.820 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.820 * [taylor]: Taking taylor expansion of im in im 3.820 * [backup-simplify]: Simplify 0 into 0 3.820 * [backup-simplify]: Simplify 1 into 1 3.820 * [backup-simplify]: Simplify (* 1 1) into 1 3.821 * [backup-simplify]: Simplify (/ 1 1) into 1 3.821 * [backup-simplify]: Simplify (+ 0 1) into 1 3.822 * [backup-simplify]: Simplify (sqrt 1) into 1 3.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.823 * [backup-simplify]: Simplify (+ 0 0) into 0 3.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.824 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.824 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.824 * [taylor]: Taking taylor expansion of re in re 3.824 * [backup-simplify]: Simplify 0 into 0 3.824 * [backup-simplify]: Simplify 1 into 1 3.825 * [backup-simplify]: Simplify (* 1 1) into 1 3.825 * [backup-simplify]: Simplify (/ 1 1) into 1 3.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.825 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.825 * [taylor]: Taking taylor expansion of im in re 3.825 * [backup-simplify]: Simplify im into im 3.825 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.826 * [backup-simplify]: Simplify (+ 1 0) into 1 3.826 * [backup-simplify]: Simplify (sqrt 1) into 1 3.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.829 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.829 * [taylor]: Taking taylor expansion of re in re 3.829 * [backup-simplify]: Simplify 0 into 0 3.829 * [backup-simplify]: Simplify 1 into 1 3.830 * [backup-simplify]: Simplify (* 1 1) into 1 3.830 * [backup-simplify]: Simplify (/ 1 1) into 1 3.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.830 * [taylor]: Taking taylor expansion of im in re 3.830 * [backup-simplify]: Simplify im into im 3.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.831 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.831 * [backup-simplify]: Simplify (+ 1 0) into 1 3.832 * [backup-simplify]: Simplify (sqrt 1) into 1 3.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.833 * [backup-simplify]: Simplify (+ 0 0) into 0 3.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.834 * [taylor]: Taking taylor expansion of 1 in im 3.834 * [backup-simplify]: Simplify 1 into 1 3.834 * [taylor]: Taking taylor expansion of 0 in im 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify 1 into 1 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.837 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.838 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.838 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.838 * [taylor]: Taking taylor expansion of 1/2 in im 3.838 * [backup-simplify]: Simplify 1/2 into 1/2 3.838 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.838 * [taylor]: Taking taylor expansion of im in im 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (* 1 1) into 1 3.839 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.841 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.843 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.844 * [backup-simplify]: Simplify (+ 0 0) into 0 3.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.845 * [taylor]: Taking taylor expansion of 0 in im 3.845 * [backup-simplify]: Simplify 0 into 0 3.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify 0 into 0 3.847 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.847 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- re)) 2) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 3.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 3.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.848 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.848 * [taylor]: Taking taylor expansion of re in im 3.848 * [backup-simplify]: Simplify re into re 3.848 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.848 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.848 * [taylor]: Taking taylor expansion of im in im 3.848 * [backup-simplify]: Simplify 0 into 0 3.848 * [backup-simplify]: Simplify 1 into 1 3.848 * [backup-simplify]: Simplify (* 1 1) into 1 3.849 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [backup-simplify]: Simplify (+ 0 1) into 1 3.850 * [backup-simplify]: Simplify (sqrt 1) into 1 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.853 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.853 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.853 * [taylor]: Taking taylor expansion of re in re 3.853 * [backup-simplify]: Simplify 0 into 0 3.853 * [backup-simplify]: Simplify 1 into 1 3.853 * [backup-simplify]: Simplify (* 1 1) into 1 3.854 * [backup-simplify]: Simplify (/ 1 1) into 1 3.854 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.854 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.854 * [taylor]: Taking taylor expansion of im in re 3.854 * [backup-simplify]: Simplify im into im 3.854 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.854 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.854 * [backup-simplify]: Simplify (+ 1 0) into 1 3.855 * [backup-simplify]: Simplify (sqrt 1) into 1 3.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.857 * [backup-simplify]: Simplify (+ 0 0) into 0 3.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.857 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.857 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.858 * [taylor]: Taking taylor expansion of re in re 3.858 * [backup-simplify]: Simplify 0 into 0 3.858 * [backup-simplify]: Simplify 1 into 1 3.858 * [backup-simplify]: Simplify (* 1 1) into 1 3.858 * [backup-simplify]: Simplify (/ 1 1) into 1 3.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.858 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.858 * [taylor]: Taking taylor expansion of im in re 3.858 * [backup-simplify]: Simplify im into im 3.859 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.859 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.859 * [backup-simplify]: Simplify (+ 1 0) into 1 3.860 * [backup-simplify]: Simplify (sqrt 1) into 1 3.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ 0 0) into 0 3.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.863 * [taylor]: Taking taylor expansion of 1 in im 3.863 * [backup-simplify]: Simplify 1 into 1 3.863 * [taylor]: Taking taylor expansion of 0 in im 3.863 * [backup-simplify]: Simplify 0 into 0 3.863 * [backup-simplify]: Simplify 1 into 1 3.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.865 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.866 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.866 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.866 * [taylor]: Taking taylor expansion of 1/2 in im 3.866 * [backup-simplify]: Simplify 1/2 into 1/2 3.866 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.866 * [taylor]: Taking taylor expansion of im in im 3.866 * [backup-simplify]: Simplify 0 into 0 3.866 * [backup-simplify]: Simplify 1 into 1 3.867 * [backup-simplify]: Simplify (* 1 1) into 1 3.867 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 0 into 0 3.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.875 * [taylor]: Taking taylor expansion of 0 in im 3.875 * [backup-simplify]: Simplify 0 into 0 3.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify 0 into 0 3.877 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.877 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 3.878 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 3.878 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 3.878 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 3.878 * [taylor]: Taking taylor expansion of re in im 3.878 * [backup-simplify]: Simplify re into re 3.878 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 3.878 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 3.878 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.878 * [taylor]: Taking taylor expansion of im in im 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 1 into 1 3.878 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.878 * [taylor]: Taking taylor expansion of re in im 3.878 * [backup-simplify]: Simplify re into re 3.878 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.878 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 3.879 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.879 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.879 * [backup-simplify]: Simplify (+ 0 0) into 0 3.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.879 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.879 * [taylor]: Taking taylor expansion of re in re 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.879 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.879 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.880 * [taylor]: Taking taylor expansion of im in re 3.880 * [backup-simplify]: Simplify im into im 3.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.880 * [taylor]: Taking taylor expansion of re in re 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.880 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.880 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.880 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.880 * [backup-simplify]: Simplify (+ 0 0) into 0 3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.881 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 3.881 * [taylor]: Taking taylor expansion of re in re 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 3.881 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 3.881 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.881 * [taylor]: Taking taylor expansion of im in re 3.881 * [backup-simplify]: Simplify im into im 3.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.881 * [taylor]: Taking taylor expansion of re in re 3.881 * [backup-simplify]: Simplify 0 into 0 3.881 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.881 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 3.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.882 * [backup-simplify]: Simplify (+ 0 0) into 0 3.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.882 * [backup-simplify]: Simplify (+ 0 im) into im 3.882 * [taylor]: Taking taylor expansion of im in im 3.882 * [backup-simplify]: Simplify 0 into 0 3.882 * [backup-simplify]: Simplify 1 into 1 3.882 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (+ 1 0) into 1 3.883 * [taylor]: Taking taylor expansion of 1 in im 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify 1 into 1 3.883 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.884 * [backup-simplify]: Simplify (* 1 1) into 1 3.884 * [backup-simplify]: Simplify (+ 0 1) into 1 3.885 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.885 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.885 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.885 * [taylor]: Taking taylor expansion of 1/2 in im 3.885 * [backup-simplify]: Simplify 1/2 into 1/2 3.885 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.885 * [taylor]: Taking taylor expansion of im in im 3.885 * [backup-simplify]: Simplify 0 into 0 3.885 * [backup-simplify]: Simplify 1 into 1 3.886 * [backup-simplify]: Simplify (/ 1 1) into 1 3.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 0 into 0 3.888 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.889 * [backup-simplify]: Simplify (+ 0 0) into 0 3.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.890 * [backup-simplify]: Simplify (+ 0 0) into 0 3.890 * [taylor]: Taking taylor expansion of 0 in im 3.890 * [backup-simplify]: Simplify 0 into 0 3.890 * [backup-simplify]: Simplify 0 into 0 3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.894 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (pow (/ 1 re) 2) (* (/ 1 im) (/ 1 im))))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (cbrt (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 3.894 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 3.894 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 3.894 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.894 * [taylor]: Taking taylor expansion of re in im 3.894 * [backup-simplify]: Simplify re into re 3.894 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.894 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.894 * [taylor]: Taking taylor expansion of re in im 3.894 * [backup-simplify]: Simplify re into re 3.894 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.894 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.894 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.894 * [taylor]: Taking taylor expansion of im in im 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (* 1 1) into 1 3.895 * [backup-simplify]: Simplify (/ 1 1) into 1 3.896 * [backup-simplify]: Simplify (+ 0 1) into 1 3.896 * [backup-simplify]: Simplify (sqrt 1) into 1 3.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ 0 0) into 0 3.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.897 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.897 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.897 * [taylor]: Taking taylor expansion of re in re 3.897 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (/ 1 1) into 1 3.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.898 * [taylor]: Taking taylor expansion of re in re 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (* 1 1) into 1 3.898 * [backup-simplify]: Simplify (/ 1 1) into 1 3.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.898 * [taylor]: Taking taylor expansion of im in re 3.898 * [backup-simplify]: Simplify im into im 3.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.899 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.899 * [backup-simplify]: Simplify (+ 1 0) into 1 3.899 * [backup-simplify]: Simplify (sqrt 1) into 1 3.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.901 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 3.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.901 * [taylor]: Taking taylor expansion of re in re 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.901 * [taylor]: Taking taylor expansion of re in re 3.901 * [backup-simplify]: Simplify 0 into 0 3.901 * [backup-simplify]: Simplify 1 into 1 3.901 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.901 * [taylor]: Taking taylor expansion of im in re 3.901 * [backup-simplify]: Simplify im into im 3.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.902 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.902 * [backup-simplify]: Simplify (+ 1 0) into 1 3.902 * [backup-simplify]: Simplify (sqrt 1) into 1 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.904 * [backup-simplify]: Simplify (+ 1 1) into 2 3.904 * [taylor]: Taking taylor expansion of 2 in im 3.904 * [backup-simplify]: Simplify 2 into 2 3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [taylor]: Taking taylor expansion of 0 in im 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 2 into 2 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.906 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.907 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.907 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.907 * [taylor]: Taking taylor expansion of 1/2 in im 3.907 * [backup-simplify]: Simplify 1/2 into 1/2 3.907 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.907 * [taylor]: Taking taylor expansion of im in im 3.907 * [backup-simplify]: Simplify 0 into 0 3.907 * [backup-simplify]: Simplify 1 into 1 3.908 * [backup-simplify]: Simplify (* 1 1) into 1 3.908 * [backup-simplify]: Simplify (/ 1 1) into 1 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.912 * [backup-simplify]: Simplify (+ 0 0) into 0 3.912 * [taylor]: Taking taylor expansion of 0 in im 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.915 * [backup-simplify]: Simplify (+ (* (* (cbrt (exp (log (sqrt (+ (pow (/ 1 (- re)) 2) (* (/ 1 (- im)) (/ 1 (- im)))))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (cbrt (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 3.915 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 3.915 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 3.915 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 3.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 3.915 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.915 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.915 * [taylor]: Taking taylor expansion of re in im 3.915 * [backup-simplify]: Simplify re into re 3.915 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.915 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.915 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.915 * [taylor]: Taking taylor expansion of im in im 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [backup-simplify]: Simplify 1 into 1 3.915 * [backup-simplify]: Simplify (* 1 1) into 1 3.915 * [backup-simplify]: Simplify (/ 1 1) into 1 3.916 * [backup-simplify]: Simplify (+ 0 1) into 1 3.916 * [backup-simplify]: Simplify (sqrt 1) into 1 3.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.917 * [backup-simplify]: Simplify (+ 0 0) into 0 3.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.917 * [taylor]: Taking taylor expansion of re in im 3.917 * [backup-simplify]: Simplify re into re 3.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.917 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.918 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.918 * [taylor]: Taking taylor expansion of re in re 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.918 * [backup-simplify]: Simplify (/ 1 1) into 1 3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.918 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.918 * [taylor]: Taking taylor expansion of im in re 3.918 * [backup-simplify]: Simplify im into im 3.918 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.918 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.918 * [backup-simplify]: Simplify (+ 1 0) into 1 3.919 * [backup-simplify]: Simplify (sqrt 1) into 1 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.920 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.920 * [taylor]: Taking taylor expansion of re in re 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 3.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.921 * [taylor]: Taking taylor expansion of re in re 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.921 * [backup-simplify]: Simplify (/ 1 1) into 1 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.921 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.921 * [taylor]: Taking taylor expansion of im in re 3.921 * [backup-simplify]: Simplify im into im 3.921 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.922 * [backup-simplify]: Simplify (+ 1 0) into 1 3.922 * [backup-simplify]: Simplify (sqrt 1) into 1 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.923 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.923 * [taylor]: Taking taylor expansion of re in re 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (/ 1 1) into 1 3.924 * [backup-simplify]: Simplify (- 1) into -1 3.924 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.924 * [taylor]: Taking taylor expansion of 0 in im 3.924 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.925 * [backup-simplify]: Simplify (- 0) into 0 3.925 * [backup-simplify]: Simplify (+ 0 0) into 0 3.925 * [taylor]: Taking taylor expansion of 0 in im 3.925 * [backup-simplify]: Simplify 0 into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.927 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.928 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.928 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.928 * [taylor]: Taking taylor expansion of 1/2 in im 3.928 * [backup-simplify]: Simplify 1/2 into 1/2 3.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.928 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.928 * [taylor]: Taking taylor expansion of im in im 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (- 0) into 0 3.937 * [backup-simplify]: Simplify (+ 0 0) into 0 3.937 * [taylor]: Taking taylor expansion of 0 in im 3.937 * [backup-simplify]: Simplify 0 into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.939 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * [backup-simplify]: Simplify 0 into 0 3.940 * * * [progress]: simplifying candidates 3.942 * [simplify]: Simplifying: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (pow re 2) (* im im)))) (exp (sqrt (+ (pow re 2) (* im im)))) (* (cbrt (sqrt (+ (pow re 2) (* im im)))) (cbrt (sqrt (+ (pow re 2) (* im im))))) (cbrt (sqrt (+ (pow re 2) (* im im)))) (* (* (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow re 2) (* im im)))) (sqrt (+ (pow re 2) (* im im)))) (sqrt (* (cbrt (+ (pow re 2) (* im im))) (cbrt (+ (pow re 2) (* im im))))) (sqrt (cbrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt 1) (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow (pow re 2) 3) (pow (* im im) 3))) (sqrt (+ (* (pow re 2) (pow re 2)) (- (* (* im im) (* im im)) (* (pow re 2) (* im im))))) (sqrt (- (* (pow re 2) (pow re 2)) (* (* im im) (* im im)))) (sqrt (- (pow re 2) (* im im))) (/ 1 2) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (* (exp (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (exp re)) (log (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (exp (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (* (cbrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (cbrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))) (cbrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (* (* (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (sqrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (sqrt (+ (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re)) (+ (pow (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) 3) (pow re 3)) (+ (* (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (- (* re re) (* (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re))) (- (* (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))))) (* re re)) (- (* (* (cbrt (exp (log (sqrt (+ (pow re 2) (* im im)))))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re))))) re) re im (* -1 im) re im (* -1 im) im re (* -1 re) (+ re im) (* 2 re) 0 3.944 * * [simplify]: iteration 0: 92 enodes 3.976 * * [simplify]: iteration 1: 230 enodes 4.101 * * [simplify]: iteration 2: 941 enodes 4.395 * * [simplify]: iteration complete: 5001 enodes 4.395 * * [simplify]: Extracting #0: cost 34 inf + 0 4.396 * * [simplify]: Extracting #1: cost 324 inf + 10 4.398 * * [simplify]: Extracting #2: cost 1164 inf + 167 4.403 * * [simplify]: Extracting #3: cost 1760 inf + 3542 4.411 * * [simplify]: Extracting #4: cost 693 inf + 20669 4.433 * * [simplify]: Extracting #5: cost 53 inf + 26365 4.446 * * [simplify]: Extracting #6: cost 8 inf + 26630 4.459 * * [simplify]: Extracting #7: cost 0 inf + 26686 4.473 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (pow re 2)))) (exp (sqrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (pow (sqrt (+ (* im im) (pow re 2))) 3) (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) 1 (sqrt (+ (* im im) (pow re 2))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* im im) (- (* im im) (pow re 2))) (pow re 4))) (sqrt (- (pow im (+ 3 1)) (pow re 4))) (sqrt (- (* im im) (pow re 2))) 1/2 (sqrt (sqrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) (log (sqrt (+ (* im im) (pow re 2)))) (exp (sqrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (pow (sqrt (+ (* im im) (pow re 2))) 3) (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) 1 (sqrt (+ (* im im) (pow re 2))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* im im) (- (* im im) (pow re 2))) (pow re 4))) (sqrt (- (pow im (+ 3 1)) (pow re 4))) (sqrt (- (* im im) (pow re 2))) 1/2 (sqrt (sqrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) (log (sqrt (+ (* im im) (pow re 2)))) (exp (sqrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (pow (sqrt (+ (* im im) (pow re 2))) 3) (fabs (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) 1 (sqrt (+ (* im im) (pow re 2))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* im im) (- (* im im) (pow re 2))) (pow re 4))) (sqrt (- (pow re 4) (pow im (+ 3 1)))) (sqrt (- (pow re 2) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (pow re 2)))) (sqrt (sqrt (+ (* im im) (pow re 2)))) (exp (+ (sqrt (+ (* im im) (pow re 2))) re)) (log (+ (sqrt (+ (* im im) (pow re 2))) re)) (exp (+ (sqrt (+ (* im im) (pow re 2))) re)) (* (cbrt (+ (sqrt (+ (* im im) (pow re 2))) re)) (cbrt (+ (sqrt (+ (* im im) (pow re 2))) re))) (cbrt (+ (sqrt (+ (* im im) (pow re 2))) re)) (pow (+ (sqrt (+ (* im im) (pow re 2))) re) 3) (sqrt (+ (sqrt (+ (* im im) (pow re 2))) re)) (sqrt (+ (sqrt (+ (* im im) (pow re 2))) re)) (+ (pow re 3) (pow (sqrt (+ (* im im) (pow re 2))) 3)) (+ (* re (- re (sqrt (+ (* im im) (pow re 2))))) (+ (* im im) (pow re 2))) (- (+ (* im im) (pow re 2)) (pow re 2)) (- (sqrt (+ (* im im) (pow re 2))) re) re im (- im) re im (- im) im re (- re) (+ re im) (* 2 re) 0 4.474 * * * [progress]: adding candidates to table 5.088 * * [progress]: iteration 4 / 4 5.088 * * * [progress]: picking best candidate 5.138 * * * * [pick]: Picked # 5.138 * * * [progress]: localizing error 5.209 * * * [progress]: generating rewritten candidates 5.209 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 2 1 2 1) 5.223 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1 1 1) 5.236 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1) 5.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1) 5.267 * * * [progress]: generating series expansions 5.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 2 1 2 1) 5.271 * [backup-simplify]: Simplify (cbrt (+ (* im im) (pow re 2))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 5.272 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (im re) around 0 5.272 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 5.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 5.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 5.272 * [taylor]: Taking taylor expansion of 1/3 in re 5.272 * [backup-simplify]: Simplify 1/3 into 1/3 5.272 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 5.272 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.272 * [taylor]: Taking taylor expansion of im in re 5.272 * [backup-simplify]: Simplify im into im 5.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.272 * [taylor]: Taking taylor expansion of re in re 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.272 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.272 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 5.272 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 5.272 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 5.272 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 5.272 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 5.272 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 5.272 * [taylor]: Taking taylor expansion of 1/3 in im 5.272 * [backup-simplify]: Simplify 1/3 into 1/3 5.272 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 5.272 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.272 * [taylor]: Taking taylor expansion of im in im 5.272 * [backup-simplify]: Simplify 0 into 0 5.272 * [backup-simplify]: Simplify 1 into 1 5.272 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.272 * [taylor]: Taking taylor expansion of re in im 5.272 * [backup-simplify]: Simplify re into re 5.272 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.273 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.273 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 5.273 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 5.273 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 5.273 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 5.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 5.273 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 5.273 * [taylor]: Taking taylor expansion of 1/3 in im 5.273 * [backup-simplify]: Simplify 1/3 into 1/3 5.273 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 5.273 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.273 * [taylor]: Taking taylor expansion of im in im 5.273 * [backup-simplify]: Simplify 0 into 0 5.273 * [backup-simplify]: Simplify 1 into 1 5.273 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.273 * [taylor]: Taking taylor expansion of re in im 5.273 * [backup-simplify]: Simplify re into re 5.273 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.273 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.273 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 5.273 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 5.273 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 5.273 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in re 5.273 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in re 5.274 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in re 5.274 * [taylor]: Taking taylor expansion of 1/3 in re 5.274 * [backup-simplify]: Simplify 1/3 into 1/3 5.274 * [taylor]: Taking taylor expansion of (log (pow re 2)) in re 5.274 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.274 * [taylor]: Taking taylor expansion of re in re 5.274 * [backup-simplify]: Simplify 0 into 0 5.274 * [backup-simplify]: Simplify 1 into 1 5.274 * [backup-simplify]: Simplify (* 1 1) into 1 5.274 * [backup-simplify]: Simplify (log 1) into 0 5.275 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.275 * [backup-simplify]: Simplify (* 1/3 (* 2 (log re))) into (* 2/3 (log re)) 5.275 * [backup-simplify]: Simplify (exp (* 2/3 (log re))) into (pow re 2/3) 5.275 * [backup-simplify]: Simplify (pow re 2/3) into (pow re 2/3) 5.275 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.275 * [backup-simplify]: Simplify (+ 0 0) into 0 5.276 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0 5.276 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow re 2)))) into 0 5.277 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.277 * [taylor]: Taking taylor expansion of 0 in re 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.278 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.278 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log re)))) into 0 5.279 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.279 * [backup-simplify]: Simplify 0 into 0 5.279 * [backup-simplify]: Simplify (* 1 1) into 1 5.280 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.280 * [backup-simplify]: Simplify (+ 1 0) into 1 5.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow re 2) 1)))) 2) into (/ 1 (pow re 2)) 5.281 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2))))) into (* 1/3 (/ 1 (pow re 2))) 5.282 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) 5.282 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) in re 5.282 * [taylor]: Taking taylor expansion of 1/3 in re 5.282 * [backup-simplify]: Simplify 1/3 into 1/3 5.282 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 4)) 1/3) in re 5.282 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 4))))) in re 5.282 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 4)))) in re 5.282 * [taylor]: Taking taylor expansion of 1/3 in re 5.282 * [backup-simplify]: Simplify 1/3 into 1/3 5.282 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 4))) in re 5.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 5.282 * [taylor]: Taking taylor expansion of (pow re 4) in re 5.282 * [taylor]: Taking taylor expansion of re in re 5.282 * [backup-simplify]: Simplify 0 into 0 5.282 * [backup-simplify]: Simplify 1 into 1 5.282 * [backup-simplify]: Simplify (* 1 1) into 1 5.283 * [backup-simplify]: Simplify (* 1 1) into 1 5.283 * [backup-simplify]: Simplify (/ 1 1) into 1 5.283 * [backup-simplify]: Simplify (log 1) into 0 5.283 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re))) 5.284 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log re)))) into (* -4/3 (log re)) 5.284 * [backup-simplify]: Simplify (exp (* -4/3 (log re))) into (pow re -4/3) 5.284 * [backup-simplify]: Simplify (* 1/3 (pow re -4/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) 5.284 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.286 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.286 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.287 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log re))))) into 0 5.287 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.288 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.289 * [backup-simplify]: Simplify (+ 0 0) into 0 5.290 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow re 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re 2) 1)))) 6) into 0 5.291 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2)))))) into 0 5.293 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.293 * [taylor]: Taking taylor expansion of 0 in re 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.295 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re))) 5.295 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log re))))) into 0 5.296 * [backup-simplify]: Simplify (* (exp (* -4/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.296 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow re -4/3))) into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.303 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.303 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.305 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log re)))))) into 0 5.306 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) (pow (* 1 im) 2)) (pow re 2/3)) into (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3)) 5.308 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 im) (/ 1 im)) (pow (/ 1 re) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 5.308 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0 5.308 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 5.308 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.308 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.308 * [taylor]: Taking taylor expansion of 1/3 in re 5.308 * [backup-simplify]: Simplify 1/3 into 1/3 5.308 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.308 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.308 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.308 * [taylor]: Taking taylor expansion of re in re 5.308 * [backup-simplify]: Simplify 0 into 0 5.308 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (* 1 1) into 1 5.309 * [backup-simplify]: Simplify (/ 1 1) into 1 5.309 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.309 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.309 * [taylor]: Taking taylor expansion of im in re 5.309 * [backup-simplify]: Simplify im into im 5.309 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.309 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.310 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (log 1) into 0 5.310 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.311 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 5.311 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 5.311 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.311 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.311 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.311 * [taylor]: Taking taylor expansion of 1/3 in im 5.311 * [backup-simplify]: Simplify 1/3 into 1/3 5.311 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.311 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.311 * [taylor]: Taking taylor expansion of re in im 5.311 * [backup-simplify]: Simplify re into re 5.311 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.311 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.311 * [taylor]: Taking taylor expansion of im in im 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.312 * [backup-simplify]: Simplify (* 1 1) into 1 5.312 * [backup-simplify]: Simplify (/ 1 1) into 1 5.313 * [backup-simplify]: Simplify (+ 0 1) into 1 5.313 * [backup-simplify]: Simplify (log 1) into 0 5.313 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.314 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.314 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.314 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.314 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.314 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.314 * [taylor]: Taking taylor expansion of 1/3 in im 5.314 * [backup-simplify]: Simplify 1/3 into 1/3 5.314 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.314 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.314 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.314 * [taylor]: Taking taylor expansion of re in im 5.314 * [backup-simplify]: Simplify re into re 5.314 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.314 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.314 * [taylor]: Taking taylor expansion of im in im 5.314 * [backup-simplify]: Simplify 0 into 0 5.314 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (* 1 1) into 1 5.315 * [backup-simplify]: Simplify (/ 1 1) into 1 5.316 * [backup-simplify]: Simplify (+ 0 1) into 1 5.316 * [backup-simplify]: Simplify (log 1) into 0 5.316 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.317 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.317 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.317 * [taylor]: Taking taylor expansion of (pow im -2/3) in re 5.317 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re 5.317 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re 5.317 * [taylor]: Taking taylor expansion of -2/3 in re 5.317 * [backup-simplify]: Simplify -2/3 into -2/3 5.317 * [taylor]: Taking taylor expansion of (log im) in re 5.317 * [taylor]: Taking taylor expansion of im in re 5.317 * [backup-simplify]: Simplify im into im 5.317 * [backup-simplify]: Simplify (log im) into (log im) 5.317 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im)) 5.317 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.317 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3) 5.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.319 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.321 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.322 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0 5.322 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.322 * [taylor]: Taking taylor expansion of 0 in re 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 5.324 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0 5.325 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.325 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.330 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2)) 5.330 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.331 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2))) 5.332 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) 5.332 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re 5.332 * [taylor]: Taking taylor expansion of 1/3 in re 5.332 * [backup-simplify]: Simplify 1/3 into 1/3 5.332 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re 5.332 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.332 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.332 * [taylor]: Taking taylor expansion of re in re 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.333 * [backup-simplify]: Simplify (* 1 1) into 1 5.333 * [backup-simplify]: Simplify (/ 1 1) into 1 5.333 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re 5.333 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re 5.333 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re 5.333 * [taylor]: Taking taylor expansion of 1/3 in re 5.333 * [backup-simplify]: Simplify 1/3 into 1/3 5.333 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re 5.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.333 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.333 * [taylor]: Taking taylor expansion of im in re 5.333 * [backup-simplify]: Simplify im into im 5.333 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.334 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2))) 5.334 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2)))) 5.334 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3) 5.334 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0 5.336 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0 5.337 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 5.339 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0 5.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0 5.341 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0 5.348 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3) 5.349 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0 5.352 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 5.353 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.356 * [backup-simplify]: Simplify (+ 0 0) into 0 5.359 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.360 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.361 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0 5.363 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.363 * [taylor]: Taking taylor expansion of 0 in re 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify (pow (/ 1 im) -2/3) into (pow (/ 1 im) -2/3) 5.364 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (pow (/ 1 (- re)) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 5.364 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0 5.364 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 5.364 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.364 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.364 * [taylor]: Taking taylor expansion of 1/3 in re 5.364 * [backup-simplify]: Simplify 1/3 into 1/3 5.364 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.364 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.364 * [taylor]: Taking taylor expansion of re in re 5.364 * [backup-simplify]: Simplify 0 into 0 5.364 * [backup-simplify]: Simplify 1 into 1 5.365 * [backup-simplify]: Simplify (* 1 1) into 1 5.365 * [backup-simplify]: Simplify (/ 1 1) into 1 5.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.365 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.365 * [taylor]: Taking taylor expansion of im in re 5.365 * [backup-simplify]: Simplify im into im 5.365 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.365 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.366 * [backup-simplify]: Simplify (+ 1 0) into 1 5.366 * [backup-simplify]: Simplify (log 1) into 0 5.367 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.367 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 5.367 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 5.367 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.367 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.367 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.367 * [taylor]: Taking taylor expansion of 1/3 in im 5.367 * [backup-simplify]: Simplify 1/3 into 1/3 5.367 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.367 * [taylor]: Taking taylor expansion of re in im 5.367 * [backup-simplify]: Simplify re into re 5.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.368 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.368 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.368 * [taylor]: Taking taylor expansion of im in im 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.368 * [backup-simplify]: Simplify (* 1 1) into 1 5.368 * [backup-simplify]: Simplify (/ 1 1) into 1 5.369 * [backup-simplify]: Simplify (+ 0 1) into 1 5.369 * [backup-simplify]: Simplify (log 1) into 0 5.370 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.370 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.370 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.370 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.370 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.370 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.370 * [taylor]: Taking taylor expansion of 1/3 in im 5.370 * [backup-simplify]: Simplify 1/3 into 1/3 5.370 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.370 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.370 * [taylor]: Taking taylor expansion of re in im 5.370 * [backup-simplify]: Simplify re into re 5.370 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.371 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.371 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.371 * [taylor]: Taking taylor expansion of im in im 5.371 * [backup-simplify]: Simplify 0 into 0 5.371 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (* 1 1) into 1 5.371 * [backup-simplify]: Simplify (/ 1 1) into 1 5.372 * [backup-simplify]: Simplify (+ 0 1) into 1 5.372 * [backup-simplify]: Simplify (log 1) into 0 5.373 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.373 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.373 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.373 * [taylor]: Taking taylor expansion of (pow im -2/3) in re 5.373 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re 5.373 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re 5.373 * [taylor]: Taking taylor expansion of -2/3 in re 5.373 * [backup-simplify]: Simplify -2/3 into -2/3 5.373 * [taylor]: Taking taylor expansion of (log im) in re 5.373 * [taylor]: Taking taylor expansion of im in re 5.373 * [backup-simplify]: Simplify im into im 5.373 * [backup-simplify]: Simplify (log im) into (log im) 5.373 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im)) 5.373 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.374 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3) 5.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.377 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.378 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0 5.378 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.379 * [taylor]: Taking taylor expansion of 0 in re 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 5.380 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0 5.381 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.383 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2)) 5.385 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.385 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2))) 5.386 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) 5.386 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re 5.386 * [taylor]: Taking taylor expansion of 1/3 in re 5.386 * [backup-simplify]: Simplify 1/3 into 1/3 5.386 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re 5.386 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.386 * [taylor]: Taking taylor expansion of re in re 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (* 1 1) into 1 5.387 * [backup-simplify]: Simplify (/ 1 1) into 1 5.387 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re 5.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re 5.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re 5.387 * [taylor]: Taking taylor expansion of 1/3 in re 5.387 * [backup-simplify]: Simplify 1/3 into 1/3 5.387 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re 5.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.387 * [taylor]: Taking taylor expansion of im in re 5.387 * [backup-simplify]: Simplify im into im 5.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.387 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.387 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2))) 5.387 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2)))) 5.387 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3) 5.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.388 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0 5.389 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0 5.389 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 5.390 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0 5.391 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0 5.392 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.393 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0 5.395 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3) 5.396 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0 5.398 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 5.398 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.398 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.402 * [backup-simplify]: Simplify (+ 0 0) into 0 5.404 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.404 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.405 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0 5.406 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.406 * [taylor]: Taking taylor expansion of 0 in re 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify (pow (/ 1 (- im)) -2/3) into (pow (/ -1 im) -2/3) 5.406 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1 1 1) 5.407 * [backup-simplify]: Simplify (cbrt (+ (* im im) (pow re 2))) into (pow (+ (pow im 2) (pow re 2)) 1/3) 5.407 * [approximate]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in (im re) around 0 5.407 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in re 5.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in re 5.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in re 5.407 * [taylor]: Taking taylor expansion of 1/3 in re 5.407 * [backup-simplify]: Simplify 1/3 into 1/3 5.407 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in re 5.407 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.407 * [taylor]: Taking taylor expansion of im in re 5.407 * [backup-simplify]: Simplify im into im 5.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.407 * [taylor]: Taking taylor expansion of re in re 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.407 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.407 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 5.407 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 5.407 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 5.407 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 5.407 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 5.407 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 5.407 * [taylor]: Taking taylor expansion of 1/3 in im 5.407 * [backup-simplify]: Simplify 1/3 into 1/3 5.407 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 5.407 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.407 * [taylor]: Taking taylor expansion of im in im 5.407 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify 1 into 1 5.407 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.407 * [taylor]: Taking taylor expansion of re in im 5.407 * [backup-simplify]: Simplify re into re 5.407 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.408 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.408 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 5.408 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 5.408 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 5.408 * [taylor]: Taking taylor expansion of (pow (+ (pow im 2) (pow re 2)) 1/3) in im 5.408 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow im 2) (pow re 2))))) in im 5.408 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow im 2) (pow re 2)))) in im 5.408 * [taylor]: Taking taylor expansion of 1/3 in im 5.408 * [backup-simplify]: Simplify 1/3 into 1/3 5.408 * [taylor]: Taking taylor expansion of (log (+ (pow im 2) (pow re 2))) in im 5.408 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.408 * [taylor]: Taking taylor expansion of im in im 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 1 into 1 5.408 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.408 * [taylor]: Taking taylor expansion of re in im 5.408 * [backup-simplify]: Simplify re into re 5.408 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.408 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.408 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 5.408 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 5.408 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 5.408 * [taylor]: Taking taylor expansion of (pow (pow re 2) 1/3) in re 5.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow re 2)))) in re 5.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow re 2))) in re 5.409 * [taylor]: Taking taylor expansion of 1/3 in re 5.409 * [backup-simplify]: Simplify 1/3 into 1/3 5.409 * [taylor]: Taking taylor expansion of (log (pow re 2)) in re 5.409 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.409 * [taylor]: Taking taylor expansion of re in re 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (* 1 1) into 1 5.409 * [backup-simplify]: Simplify (log 1) into 0 5.409 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.410 * [backup-simplify]: Simplify (* 1/3 (* 2 (log re))) into (* 2/3 (log re)) 5.410 * [backup-simplify]: Simplify (exp (* 2/3 (log re))) into (pow re 2/3) 5.410 * [backup-simplify]: Simplify (pow re 2/3) into (pow re 2/3) 5.410 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.410 * [backup-simplify]: Simplify (+ 0 0) into 0 5.411 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow re 2) 1)))) 1) into 0 5.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow re 2)))) into 0 5.412 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.412 * [taylor]: Taking taylor expansion of 0 in re 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.413 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.413 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log re)))) into 0 5.414 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify (* 1 1) into 1 5.415 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.415 * [backup-simplify]: Simplify (+ 1 0) into 1 5.416 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow re 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow re 2) 1)))) 2) into (/ 1 (pow re 2)) 5.417 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2))))) into (* 1/3 (/ 1 (pow re 2))) 5.418 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) 5.418 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) in re 5.418 * [taylor]: Taking taylor expansion of 1/3 in re 5.418 * [backup-simplify]: Simplify 1/3 into 1/3 5.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 4)) 1/3) in re 5.418 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 4))))) in re 5.418 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 4)))) in re 5.418 * [taylor]: Taking taylor expansion of 1/3 in re 5.418 * [backup-simplify]: Simplify 1/3 into 1/3 5.418 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 4))) in re 5.418 * [taylor]: Taking taylor expansion of (/ 1 (pow re 4)) in re 5.418 * [taylor]: Taking taylor expansion of (pow re 4) in re 5.418 * [taylor]: Taking taylor expansion of re in re 5.418 * [backup-simplify]: Simplify 0 into 0 5.418 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (* 1 1) into 1 5.419 * [backup-simplify]: Simplify (* 1 1) into 1 5.419 * [backup-simplify]: Simplify (/ 1 1) into 1 5.420 * [backup-simplify]: Simplify (log 1) into 0 5.420 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re))) 5.420 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log re)))) into (* -4/3 (log re)) 5.421 * [backup-simplify]: Simplify (exp (* -4/3 (log re))) into (pow re -4/3) 5.421 * [backup-simplify]: Simplify (* 1/3 (pow re -4/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) 5.421 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) 5.421 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.425 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.425 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.426 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log re))))) into 0 5.427 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.427 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.429 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.429 * [backup-simplify]: Simplify (+ 0 0) into 0 5.431 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow re 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow re 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow re 2) 1)))) 6) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (log (pow re 2)))))) into 0 5.433 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow re 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.433 * [taylor]: Taking taylor expansion of 0 in re 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.435 * [backup-simplify]: Simplify (+ (* (- 4) (log re)) 0) into (- (* 4 (log re))) 5.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log re))))) into 0 5.436 * [backup-simplify]: Simplify (* (exp (* -4/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.436 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow re -4/3))) into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.440 * [backup-simplify]: Simplify (+ (* (- -2) (log re)) 0) into (* 2 (log re)) 5.441 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log re)))))) into 0 5.442 * [backup-simplify]: Simplify (* (exp (* 2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.442 * [backup-simplify]: Simplify 0 into 0 5.442 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow re 4)) 1/3)) (pow (* 1 im) 2)) (pow re 2/3)) into (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3)) 5.442 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 im) (/ 1 im)) (pow (/ 1 re) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 5.442 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0 5.442 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 5.442 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.442 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.442 * [taylor]: Taking taylor expansion of 1/3 in re 5.442 * [backup-simplify]: Simplify 1/3 into 1/3 5.442 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.442 * [taylor]: Taking taylor expansion of re in re 5.442 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 1 into 1 5.443 * [backup-simplify]: Simplify (* 1 1) into 1 5.443 * [backup-simplify]: Simplify (/ 1 1) into 1 5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.443 * [taylor]: Taking taylor expansion of im in re 5.443 * [backup-simplify]: Simplify im into im 5.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.443 * [backup-simplify]: Simplify (+ 1 0) into 1 5.444 * [backup-simplify]: Simplify (log 1) into 0 5.444 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.444 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 5.444 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 5.444 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.444 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.444 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.444 * [taylor]: Taking taylor expansion of 1/3 in im 5.444 * [backup-simplify]: Simplify 1/3 into 1/3 5.444 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.444 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.444 * [taylor]: Taking taylor expansion of re in im 5.444 * [backup-simplify]: Simplify re into re 5.444 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.444 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.444 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.444 * [taylor]: Taking taylor expansion of im in im 5.444 * [backup-simplify]: Simplify 0 into 0 5.444 * [backup-simplify]: Simplify 1 into 1 5.445 * [backup-simplify]: Simplify (* 1 1) into 1 5.445 * [backup-simplify]: Simplify (/ 1 1) into 1 5.445 * [backup-simplify]: Simplify (+ 0 1) into 1 5.445 * [backup-simplify]: Simplify (log 1) into 0 5.446 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.446 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.446 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.446 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.446 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.446 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.446 * [taylor]: Taking taylor expansion of 1/3 in im 5.446 * [backup-simplify]: Simplify 1/3 into 1/3 5.446 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.446 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.446 * [taylor]: Taking taylor expansion of re in im 5.446 * [backup-simplify]: Simplify re into re 5.446 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.446 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.446 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.446 * [taylor]: Taking taylor expansion of im in im 5.446 * [backup-simplify]: Simplify 0 into 0 5.446 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (* 1 1) into 1 5.447 * [backup-simplify]: Simplify (/ 1 1) into 1 5.447 * [backup-simplify]: Simplify (+ 0 1) into 1 5.447 * [backup-simplify]: Simplify (log 1) into 0 5.447 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.448 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.448 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.448 * [taylor]: Taking taylor expansion of (pow im -2/3) in re 5.448 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re 5.448 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re 5.448 * [taylor]: Taking taylor expansion of -2/3 in re 5.448 * [backup-simplify]: Simplify -2/3 into -2/3 5.448 * [taylor]: Taking taylor expansion of (log im) in re 5.448 * [taylor]: Taking taylor expansion of im in re 5.448 * [backup-simplify]: Simplify im into im 5.448 * [backup-simplify]: Simplify (log im) into (log im) 5.448 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im)) 5.448 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.448 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3) 5.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (+ 0 0) into 0 5.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.450 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.450 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0 5.451 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.451 * [taylor]: Taking taylor expansion of 0 in re 5.451 * [backup-simplify]: Simplify 0 into 0 5.451 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 5.452 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0 5.452 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.452 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.454 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.455 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2)) 5.455 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.455 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2))) 5.456 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) 5.456 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re 5.456 * [taylor]: Taking taylor expansion of 1/3 in re 5.456 * [backup-simplify]: Simplify 1/3 into 1/3 5.456 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re 5.456 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.456 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.456 * [taylor]: Taking taylor expansion of re in re 5.456 * [backup-simplify]: Simplify 0 into 0 5.456 * [backup-simplify]: Simplify 1 into 1 5.456 * [backup-simplify]: Simplify (* 1 1) into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re 5.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re 5.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re 5.457 * [taylor]: Taking taylor expansion of 1/3 in re 5.457 * [backup-simplify]: Simplify 1/3 into 1/3 5.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re 5.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.457 * [taylor]: Taking taylor expansion of im in re 5.457 * [backup-simplify]: Simplify im into im 5.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.457 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2))) 5.457 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2)))) 5.457 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3) 5.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.458 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0 5.458 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0 5.459 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 5.460 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0 5.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0 5.462 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.463 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0 5.465 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3) 5.466 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0 5.468 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 5.468 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.470 * [backup-simplify]: Simplify (+ 0 0) into 0 5.472 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.472 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0 5.474 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.474 * [taylor]: Taking taylor expansion of 0 in re 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify (pow (/ 1 im) -2/3) into (pow (/ 1 im) -2/3) 5.475 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (pow (/ 1 (- re)) 2))) into (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) 5.475 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in (im re) around 0 5.475 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in re 5.475 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.475 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.475 * [taylor]: Taking taylor expansion of 1/3 in re 5.475 * [backup-simplify]: Simplify 1/3 into 1/3 5.475 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.475 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.475 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.475 * [taylor]: Taking taylor expansion of re in re 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 1 into 1 5.475 * [backup-simplify]: Simplify (* 1 1) into 1 5.475 * [backup-simplify]: Simplify (/ 1 1) into 1 5.475 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.475 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.475 * [taylor]: Taking taylor expansion of im in re 5.475 * [backup-simplify]: Simplify im into im 5.475 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.476 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.476 * [backup-simplify]: Simplify (+ 1 0) into 1 5.476 * [backup-simplify]: Simplify (log 1) into 0 5.476 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.476 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 5.477 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 5.477 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.477 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.477 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.477 * [taylor]: Taking taylor expansion of 1/3 in im 5.477 * [backup-simplify]: Simplify 1/3 into 1/3 5.477 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.477 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.477 * [taylor]: Taking taylor expansion of re in im 5.477 * [backup-simplify]: Simplify re into re 5.477 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.477 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.477 * [taylor]: Taking taylor expansion of im in im 5.477 * [backup-simplify]: Simplify 0 into 0 5.477 * [backup-simplify]: Simplify 1 into 1 5.477 * [backup-simplify]: Simplify (* 1 1) into 1 5.477 * [backup-simplify]: Simplify (/ 1 1) into 1 5.478 * [backup-simplify]: Simplify (+ 0 1) into 1 5.478 * [backup-simplify]: Simplify (log 1) into 0 5.478 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.478 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.478 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.478 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 1/3) in im 5.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.478 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.478 * [taylor]: Taking taylor expansion of 1/3 in im 5.478 * [backup-simplify]: Simplify 1/3 into 1/3 5.478 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.479 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.479 * [taylor]: Taking taylor expansion of re in im 5.479 * [backup-simplify]: Simplify re into re 5.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.479 * [taylor]: Taking taylor expansion of im in im 5.479 * [backup-simplify]: Simplify 0 into 0 5.479 * [backup-simplify]: Simplify 1 into 1 5.479 * [backup-simplify]: Simplify (* 1 1) into 1 5.479 * [backup-simplify]: Simplify (/ 1 1) into 1 5.479 * [backup-simplify]: Simplify (+ 0 1) into 1 5.480 * [backup-simplify]: Simplify (log 1) into 0 5.480 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.480 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 5.480 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.480 * [taylor]: Taking taylor expansion of (pow im -2/3) in re 5.480 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log im))) in re 5.480 * [taylor]: Taking taylor expansion of (* -2/3 (log im)) in re 5.480 * [taylor]: Taking taylor expansion of -2/3 in re 5.480 * [backup-simplify]: Simplify -2/3 into -2/3 5.480 * [taylor]: Taking taylor expansion of (log im) in re 5.480 * [taylor]: Taking taylor expansion of im in re 5.481 * [backup-simplify]: Simplify im into im 5.481 * [backup-simplify]: Simplify (log im) into (log im) 5.481 * [backup-simplify]: Simplify (* -2/3 (log im)) into (* -2/3 (log im)) 5.481 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 5.481 * [backup-simplify]: Simplify (pow im -2/3) into (pow im -2/3) 5.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.482 * [backup-simplify]: Simplify (+ 0 0) into 0 5.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.483 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.483 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log im))))) into 0 5.484 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.484 * [taylor]: Taking taylor expansion of 0 in re 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 5.485 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log im))) into 0 5.485 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.485 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.486 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow re 2)) 5.488 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.488 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im)))))) into (* 1/3 (/ 1 (pow re 2))) 5.489 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)))) into (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) 5.489 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3))) in re 5.489 * [taylor]: Taking taylor expansion of 1/3 in re 5.489 * [backup-simplify]: Simplify 1/3 into 1/3 5.489 * [taylor]: Taking taylor expansion of (* (/ 1 (pow re 2)) (pow (/ 1 (pow im 2)) 1/3)) in re 5.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.489 * [taylor]: Taking taylor expansion of re in re 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 1 into 1 5.489 * [backup-simplify]: Simplify (* 1 1) into 1 5.489 * [backup-simplify]: Simplify (/ 1 1) into 1 5.490 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 2)) 1/3) in re 5.490 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 2))))) in re 5.490 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 2)))) in re 5.490 * [taylor]: Taking taylor expansion of 1/3 in re 5.490 * [backup-simplify]: Simplify 1/3 into 1/3 5.490 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 2))) in re 5.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.490 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.490 * [taylor]: Taking taylor expansion of im in re 5.490 * [backup-simplify]: Simplify im into im 5.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.490 * [backup-simplify]: Simplify (log (/ 1 (pow im 2))) into (log (/ 1 (pow im 2))) 5.490 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow im 2)))) into (* 1/3 (log (/ 1 (pow im 2)))) 5.490 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow im 2))))) into (pow (/ 1 (pow im 2)) 1/3) 5.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.491 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 1) into 0 5.491 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow im 2))))) into 0 5.492 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 5.493 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow im 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow im 2)) 1)))) 2) into 0 5.494 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow im 2)))))) into 0 5.494 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.496 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow im 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow im 2)) 1/3))) into 0 5.500 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow im 2)) 1/3)) into (pow (/ 1 (pow im 2)) 1/3) 5.500 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow im 2)) 1/3)))) into 0 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow im 1)))) 2) into 0 5.502 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 5.503 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.505 * [backup-simplify]: Simplify (+ 0 0) into 0 5.507 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow re 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.507 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.508 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow re 2))) (+ (* 0 0) (* 0 (- (* 2 (log im))))))) into 0 5.509 * [backup-simplify]: Simplify (* (exp (* -2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow re 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.509 * [taylor]: Taking taylor expansion of 0 in re 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify (pow (/ 1 (- im)) -2/3) into (pow (/ -1 im) -2/3) 5.509 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1) 5.509 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow im 2) (pow re 2))) 5.509 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (im re) around 0 5.509 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.509 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.509 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.509 * [taylor]: Taking taylor expansion of im in re 5.509 * [backup-simplify]: Simplify im into im 5.509 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.509 * [taylor]: Taking taylor expansion of re in re 5.509 * [backup-simplify]: Simplify 0 into 0 5.509 * [backup-simplify]: Simplify 1 into 1 5.509 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.509 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.510 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.510 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.510 * [backup-simplify]: Simplify (+ 0 0) into 0 5.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.510 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.510 * [taylor]: Taking taylor expansion of im in im 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.510 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.510 * [taylor]: Taking taylor expansion of re in im 5.510 * [backup-simplify]: Simplify re into re 5.510 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.510 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.510 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.510 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.511 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.511 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.511 * [taylor]: Taking taylor expansion of im in im 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 1 into 1 5.511 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.511 * [taylor]: Taking taylor expansion of re in im 5.511 * [backup-simplify]: Simplify re into re 5.511 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.511 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.511 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.511 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.511 * [backup-simplify]: Simplify (+ 0 0) into 0 5.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.512 * [taylor]: Taking taylor expansion of re in re 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [taylor]: Taking taylor expansion of 0 in re 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 0 into 0 5.512 * [backup-simplify]: Simplify 1 into 1 5.512 * [backup-simplify]: Simplify (* 1 1) into 1 5.512 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.512 * [backup-simplify]: Simplify (+ 1 0) into 1 5.513 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 5.513 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 5.513 * [taylor]: Taking taylor expansion of 1/2 in re 5.513 * [backup-simplify]: Simplify 1/2 into 1/2 5.513 * [taylor]: Taking taylor expansion of re in re 5.513 * [backup-simplify]: Simplify 0 into 0 5.513 * [backup-simplify]: Simplify 1 into 1 5.513 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.515 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.515 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 5.515 * [taylor]: Taking taylor expansion of 0 in re 5.515 * [backup-simplify]: Simplify 0 into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 5.516 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.516 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 5.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.516 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.516 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.516 * [taylor]: Taking taylor expansion of re in re 5.516 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify 1 into 1 5.517 * [backup-simplify]: Simplify (* 1 1) into 1 5.517 * [backup-simplify]: Simplify (/ 1 1) into 1 5.517 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.517 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.517 * [taylor]: Taking taylor expansion of im in re 5.517 * [backup-simplify]: Simplify im into im 5.517 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.517 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.518 * [backup-simplify]: Simplify (+ 1 0) into 1 5.518 * [backup-simplify]: Simplify (sqrt 1) into 1 5.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.520 * [backup-simplify]: Simplify (+ 0 0) into 0 5.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.521 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.521 * [taylor]: Taking taylor expansion of re in im 5.521 * [backup-simplify]: Simplify re into re 5.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.521 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.521 * [taylor]: Taking taylor expansion of im in im 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (* 1 1) into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [backup-simplify]: Simplify (+ 0 1) into 1 5.523 * [backup-simplify]: Simplify (sqrt 1) into 1 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.525 * [backup-simplify]: Simplify (+ 0 0) into 0 5.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.526 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.526 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.526 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.526 * [taylor]: Taking taylor expansion of re in im 5.526 * [backup-simplify]: Simplify re into re 5.526 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.526 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.526 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.526 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.526 * [taylor]: Taking taylor expansion of im in im 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [backup-simplify]: Simplify 1 into 1 5.527 * [backup-simplify]: Simplify (* 1 1) into 1 5.527 * [backup-simplify]: Simplify (/ 1 1) into 1 5.527 * [backup-simplify]: Simplify (+ 0 1) into 1 5.528 * [backup-simplify]: Simplify (sqrt 1) into 1 5.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.530 * [backup-simplify]: Simplify (+ 0 0) into 0 5.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.531 * [taylor]: Taking taylor expansion of 1 in re 5.531 * [backup-simplify]: Simplify 1 into 1 5.531 * [taylor]: Taking taylor expansion of 0 in re 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 1 into 1 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.533 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.534 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 5.535 * [taylor]: Taking taylor expansion of 1/2 in re 5.535 * [backup-simplify]: Simplify 1/2 into 1/2 5.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.535 * [taylor]: Taking taylor expansion of re in re 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [backup-simplify]: Simplify (* 1 1) into 1 5.535 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify 0 into 0 5.537 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.540 * [backup-simplify]: Simplify (+ 0 0) into 0 5.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 5.541 * [taylor]: Taking taylor expansion of 0 in re 5.541 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify 0 into 0 5.543 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 5.544 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.544 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (im re) around 0 5.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.544 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.544 * [taylor]: Taking taylor expansion of re in re 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify 1 into 1 5.544 * [backup-simplify]: Simplify (* 1 1) into 1 5.545 * [backup-simplify]: Simplify (/ 1 1) into 1 5.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.545 * [taylor]: Taking taylor expansion of im in re 5.545 * [backup-simplify]: Simplify im into im 5.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.545 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.545 * [backup-simplify]: Simplify (+ 1 0) into 1 5.546 * [backup-simplify]: Simplify (sqrt 1) into 1 5.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.548 * [backup-simplify]: Simplify (+ 0 0) into 0 5.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.549 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.549 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.549 * [taylor]: Taking taylor expansion of re in im 5.549 * [backup-simplify]: Simplify re into re 5.549 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.549 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.549 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.549 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.549 * [taylor]: Taking taylor expansion of im in im 5.549 * [backup-simplify]: Simplify 0 into 0 5.549 * [backup-simplify]: Simplify 1 into 1 5.549 * [backup-simplify]: Simplify (* 1 1) into 1 5.550 * [backup-simplify]: Simplify (/ 1 1) into 1 5.550 * [backup-simplify]: Simplify (+ 0 1) into 1 5.551 * [backup-simplify]: Simplify (sqrt 1) into 1 5.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.552 * [backup-simplify]: Simplify (+ 0 0) into 0 5.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.553 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.553 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.553 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.553 * [taylor]: Taking taylor expansion of re in im 5.553 * [backup-simplify]: Simplify re into re 5.553 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.554 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.554 * [taylor]: Taking taylor expansion of im in im 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (* 1 1) into 1 5.554 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [backup-simplify]: Simplify (+ 0 1) into 1 5.555 * [backup-simplify]: Simplify (sqrt 1) into 1 5.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.557 * [backup-simplify]: Simplify (+ 0 0) into 0 5.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.558 * [taylor]: Taking taylor expansion of 1 in re 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of 0 in re 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.561 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.561 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 5.561 * [taylor]: Taking taylor expansion of 1/2 in re 5.561 * [backup-simplify]: Simplify 1/2 into 1/2 5.562 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.562 * [taylor]: Taking taylor expansion of re in re 5.562 * [backup-simplify]: Simplify 0 into 0 5.562 * [backup-simplify]: Simplify 1 into 1 5.562 * [backup-simplify]: Simplify (* 1 1) into 1 5.562 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 5.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.567 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 5.568 * [taylor]: Taking taylor expansion of 0 in re 5.568 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 5.570 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1) 5.571 * [backup-simplify]: Simplify (sqrt (+ (pow re 2) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.571 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.571 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.571 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.571 * [taylor]: Taking taylor expansion of im in im 5.571 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify 1 into 1 5.571 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.571 * [taylor]: Taking taylor expansion of re in im 5.571 * [backup-simplify]: Simplify re into re 5.571 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.571 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.571 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.571 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.572 * [backup-simplify]: Simplify (+ 0 0) into 0 5.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.572 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.572 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.572 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.572 * [taylor]: Taking taylor expansion of im in re 5.572 * [backup-simplify]: Simplify im into im 5.572 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.572 * [taylor]: Taking taylor expansion of re in re 5.572 * [backup-simplify]: Simplify 0 into 0 5.572 * [backup-simplify]: Simplify 1 into 1 5.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.572 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.572 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.573 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.573 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.573 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.573 * [taylor]: Taking taylor expansion of im in re 5.573 * [backup-simplify]: Simplify im into im 5.573 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.573 * [taylor]: Taking taylor expansion of re in re 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [backup-simplify]: Simplify 1 into 1 5.573 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.574 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.574 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.574 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.574 * [backup-simplify]: Simplify (+ 0 0) into 0 5.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.574 * [taylor]: Taking taylor expansion of im in im 5.574 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [taylor]: Taking taylor expansion of 0 in im 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify 1 into 1 5.575 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.576 * [backup-simplify]: Simplify (* 1 1) into 1 5.576 * [backup-simplify]: Simplify (+ 0 1) into 1 5.577 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.577 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.577 * [taylor]: Taking taylor expansion of 1/2 in im 5.577 * [backup-simplify]: Simplify 1/2 into 1/2 5.577 * [taylor]: Taking taylor expansion of im in im 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [backup-simplify]: Simplify 1 into 1 5.578 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.580 * [backup-simplify]: Simplify (+ 0 0) into 0 5.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.581 * [taylor]: Taking taylor expansion of 0 in im 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.582 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 re) 2) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.582 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.582 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.582 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.582 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.583 * [taylor]: Taking taylor expansion of re in im 5.583 * [backup-simplify]: Simplify re into re 5.583 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.583 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.583 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.583 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.583 * [taylor]: Taking taylor expansion of im in im 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 1 into 1 5.583 * [backup-simplify]: Simplify (* 1 1) into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [backup-simplify]: Simplify (+ 0 1) into 1 5.585 * [backup-simplify]: Simplify (sqrt 1) into 1 5.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.586 * [backup-simplify]: Simplify (+ 0 0) into 0 5.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.587 * [taylor]: Taking taylor expansion of re in re 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (* 1 1) into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.588 * [taylor]: Taking taylor expansion of im in re 5.588 * [backup-simplify]: Simplify im into im 5.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.588 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.589 * [backup-simplify]: Simplify (+ 1 0) into 1 5.589 * [backup-simplify]: Simplify (sqrt 1) into 1 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.591 * [backup-simplify]: Simplify (+ 0 0) into 0 5.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.592 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.592 * [taylor]: Taking taylor expansion of re in re 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (* 1 1) into 1 5.593 * [backup-simplify]: Simplify (/ 1 1) into 1 5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.593 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.593 * [taylor]: Taking taylor expansion of im in re 5.593 * [backup-simplify]: Simplify im into im 5.593 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.593 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.594 * [backup-simplify]: Simplify (+ 1 0) into 1 5.594 * [backup-simplify]: Simplify (sqrt 1) into 1 5.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.596 * [backup-simplify]: Simplify (+ 0 0) into 0 5.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.597 * [taylor]: Taking taylor expansion of 1 in im 5.597 * [backup-simplify]: Simplify 1 into 1 5.597 * [taylor]: Taking taylor expansion of 0 in im 5.597 * [backup-simplify]: Simplify 0 into 0 5.597 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.599 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.600 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.600 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.600 * [taylor]: Taking taylor expansion of 1/2 in im 5.600 * [backup-simplify]: Simplify 1/2 into 1/2 5.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.600 * [taylor]: Taking taylor expansion of im in im 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify (* 1 1) into 1 5.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.606 * [backup-simplify]: Simplify (+ 0 0) into 0 5.606 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.606 * [taylor]: Taking taylor expansion of 0 in im 5.606 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.608 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.609 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- re)) 2) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.609 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.609 * [taylor]: Taking taylor expansion of re in im 5.609 * [backup-simplify]: Simplify re into re 5.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.610 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.610 * [taylor]: Taking taylor expansion of im in im 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.610 * [backup-simplify]: Simplify (* 1 1) into 1 5.610 * [backup-simplify]: Simplify (/ 1 1) into 1 5.611 * [backup-simplify]: Simplify (+ 0 1) into 1 5.611 * [backup-simplify]: Simplify (sqrt 1) into 1 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.614 * [taylor]: Taking taylor expansion of re in re 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (* 1 1) into 1 5.615 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.615 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.615 * [taylor]: Taking taylor expansion of im in re 5.615 * [backup-simplify]: Simplify im into im 5.615 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.616 * [backup-simplify]: Simplify (+ 1 0) into 1 5.616 * [backup-simplify]: Simplify (sqrt 1) into 1 5.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.618 * [backup-simplify]: Simplify (+ 0 0) into 0 5.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.619 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.619 * [taylor]: Taking taylor expansion of re in re 5.619 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify 1 into 1 5.619 * [backup-simplify]: Simplify (* 1 1) into 1 5.620 * [backup-simplify]: Simplify (/ 1 1) into 1 5.620 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.620 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.620 * [taylor]: Taking taylor expansion of im in re 5.620 * [backup-simplify]: Simplify im into im 5.620 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.620 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.621 * [backup-simplify]: Simplify (+ 1 0) into 1 5.621 * [backup-simplify]: Simplify (sqrt 1) into 1 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (+ 0 0) into 0 5.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.624 * [taylor]: Taking taylor expansion of 1 in im 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [taylor]: Taking taylor expansion of 0 in im 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.626 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.626 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.626 * [taylor]: Taking taylor expansion of 1/2 in im 5.626 * [backup-simplify]: Simplify 1/2 into 1/2 5.626 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.626 * [taylor]: Taking taylor expansion of im in im 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify 1 into 1 5.626 * [backup-simplify]: Simplify (* 1 1) into 1 5.626 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.629 * [taylor]: Taking taylor expansion of 0 in im 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify 0 into 0 5.631 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.631 * * * [progress]: simplifying candidates 5.632 * [simplify]: Simplifying: (log (cbrt (+ (* im im) (pow re 2)))) (exp (cbrt (+ (* im im) (pow re 2)))) (cbrt (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2))))) (cbrt (cbrt (+ (* im im) (pow re 2)))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (cbrt 1) (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (pow (* im im) 3) (pow (pow re 2) 3))) (cbrt (+ (* (* im im) (* im im)) (- (* (pow re 2) (pow re 2)) (* (* im im) (pow re 2))))) (cbrt (- (* (* im im) (* im im)) (* (pow re 2) (pow re 2)))) (cbrt (- (* im im) (pow re 2))) (* (cbrt (cbrt (+ (* im im) (pow re 2)))) (cbrt (cbrt (+ (* im im) (pow re 2))))) (cbrt (cbrt (+ (* im im) (pow re 2)))) (* (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (log (cbrt (+ (* im im) (pow re 2)))) (exp (cbrt (+ (* im im) (pow re 2)))) (cbrt (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2))))) (cbrt (cbrt (+ (* im im) (pow re 2)))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (cbrt (sqrt (+ (* im im) (pow re 2)))) (cbrt 1) (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (pow (* im im) 3) (pow (pow re 2) 3))) (cbrt (+ (* (* im im) (* im im)) (- (* (pow re 2) (pow re 2)) (* (* im im) (pow re 2))))) (cbrt (- (* (* im im) (* im im)) (* (pow re 2) (pow re 2)))) (cbrt (- (* im im) (pow re 2))) (* (cbrt (cbrt (+ (* im im) (pow re 2)))) (cbrt (cbrt (+ (* im im) (pow re 2))))) (cbrt (cbrt (+ (* im im) (pow re 2)))) (* (* (cbrt (+ (* im im) (pow re 2))) (cbrt (+ (* im im) (pow re 2)))) (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (sqrt (cbrt (+ (* im im) (pow re 2)))) (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (pow re 2) (* im im)))) (exp (sqrt (+ (pow re 2) (* im im)))) (* (cbrt (sqrt (+ (pow re 2) (* im im)))) (cbrt (sqrt (+ (pow re 2) (* im im))))) (cbrt (sqrt (+ (pow re 2) (* im im)))) (* (* (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow re 2) (* im im)))) (sqrt (+ (pow re 2) (* im im)))) (sqrt (* (cbrt (+ (pow re 2) (* im im))) (cbrt (+ (pow re 2) (* im im))))) (sqrt (cbrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt 1) (sqrt (+ (pow re 2) (* im im))) (sqrt (+ (pow (pow re 2) 3) (pow (* im im) 3))) (sqrt (+ (* (pow re 2) (pow re 2)) (- (* (* im im) (* im im)) (* (pow re 2) (* im im))))) (sqrt (- (* (pow re 2) (pow re 2)) (* (* im im) (* im im)))) (sqrt (- (pow re 2) (* im im))) (/ 1 2) (sqrt (sqrt (+ (pow re 2) (* im im)))) (sqrt (sqrt (+ (pow re 2) (* im im)))) (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3)) (pow (/ 1 im) -2/3) (pow (/ -1 im) -2/3) (+ (* 1/3 (* (pow (/ 1 (pow re 4)) 1/3) (pow im 2))) (pow re 2/3)) (pow (/ 1 im) -2/3) (pow (/ -1 im) -2/3) re im (* -1 im) im re (* -1 re) 5.633 * * [simplify]: iteration 0: 104 enodes 5.654 * * [simplify]: iteration 1: 234 enodes 5.761 * * [simplify]: iteration 2: 890 enodes 6.105 * * [simplify]: iteration complete: 5001 enodes 6.105 * * [simplify]: Extracting #0: cost 35 inf + 0 6.105 * * [simplify]: Extracting #1: cost 82 inf + 8 6.106 * * [simplify]: Extracting #2: cost 401 inf + 40 6.109 * * [simplify]: Extracting #3: cost 1687 inf + 1311 6.116 * * [simplify]: Extracting #4: cost 1203 inf + 6590 6.124 * * [simplify]: Extracting #5: cost 171 inf + 12769 6.138 * * [simplify]: Extracting #6: cost 38 inf + 13455 6.145 * * [simplify]: Extracting #7: cost 0 inf + 13682 6.152 * * [simplify]: Extracting #8: cost 0 inf + 13670 6.161 * [simplify]: Simplified to: (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) 1 (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow im 6) (pow re 6))) (cbrt (- (pow im 4) (* (* re re) (- (* im im) (* re re))))) (cbrt (- (pow im 4) (pow re 4))) (cbrt (- (* im im) (* re re))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (cbrt (+ (* re re) (* im im)))) (exp (cbrt (+ (* re re) (* im im)))) (cbrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im)))) 1 (cbrt (+ (* re re) (* im im))) (cbrt (+ (pow im 6) (pow re 6))) (cbrt (- (pow im 4) (* (* re re) (- (* im im) (* re re))))) (cbrt (- (pow im 4) (pow re 4))) (cbrt (- (* im im) (* re re))) (* (cbrt (cbrt (+ (* re re) (* im im)))) (cbrt (cbrt (+ (* re re) (* im im))))) (cbrt (cbrt (+ (* re re) (* im im)))) (+ (* re re) (* im im)) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (- (pow im 4) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (pow im 4) (pow re 4))) (sqrt (- (* im im) (* re re))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (- (pow im 4) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (+ (* (* (* im im) 1/3) (cbrt (/ 1 (pow re 4)))) (pow re 2/3)) (pow (/ 1 im) -2/3) (pow (/ -1 im) -2/3) (+ (* (* (* im im) 1/3) (cbrt (/ 1 (pow re 4)))) (pow re 2/3)) (pow (/ 1 im) -2/3) (pow (/ -1 im) -2/3) re im (- im) im re (- re) 6.163 * * * [progress]: adding candidates to table 6.961 * [progress]: [Phase 3 of 3] Extracting. 6.961 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.964 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 6.964 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 7.069 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 7.181 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 7.358 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 7.517 * * * [regime]: Found split indices: #