42.504 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.083 * * * [progress]: [2/2] Setting up program. 0.086 * [progress]: [Phase 2 of 3] Improving. 0.086 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.086 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.086 * * [simplify]: iteration 1: (12 enodes) 0.088 * * [simplify]: iteration 2: (22 enodes) 0.092 * * [simplify]: iteration 3: (24 enodes) 0.095 * * [simplify]: Extracting #0: cost 1 inf + 0 0.095 * * [simplify]: Extracting #1: cost 3 inf + 0 0.096 * * [simplify]: Extracting #2: cost 3 inf + 1 0.096 * * [simplify]: Extracting #3: cost 7 inf + 1 0.096 * * [simplify]: Extracting #4: cost 8 inf + 2 0.096 * * [simplify]: Extracting #5: cost 8 inf + 3 0.096 * * [simplify]: Extracting #6: cost 9 inf + 45 0.096 * * [simplify]: Extracting #7: cost 9 inf + 86 0.096 * * [simplify]: Extracting #8: cost 7 inf + 128 0.096 * * [simplify]: Extracting #9: cost 5 inf + 412 0.097 * * [simplify]: Extracting #10: cost 2 inf + 1060 0.097 * * [simplify]: Extracting #11: cost 0 inf + 1667 0.097 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.104 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.146 * * * [progress]: generating rewritten candidates 0.146 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.157 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.194 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.201 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.201 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.202 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.202 * [taylor]: Taking taylor expansion of re in im 0.202 * [backup-simplify]: Simplify re into re 0.202 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.202 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.202 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.202 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.202 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [backup-simplify]: Simplify im into im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.203 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.203 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [backup-simplify]: Simplify im into im 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.203 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.204 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.206 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.206 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.206 * [taylor]: Taking taylor expansion of 1/2 in im 0.206 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.209 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.209 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.209 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.209 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.209 * [taylor]: Taking taylor expansion of re in im 0.209 * [backup-simplify]: Simplify re into re 0.209 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 0 1) into 1 0.210 * [backup-simplify]: Simplify (sqrt 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.212 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.213 * [taylor]: Taking taylor expansion of im in re 0.213 * [backup-simplify]: Simplify im into im 0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [backup-simplify]: Simplify (sqrt 1) into 1 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.215 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.215 * [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 0.215 * [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 0.216 * [backup-simplify]: Simplify (sqrt 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.218 * [taylor]: Taking taylor expansion of 1 in im 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of 0 in im 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [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 0.222 * [backup-simplify]: Simplify 1/2 into 1/2 0.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.222 * [taylor]: Taking taylor expansion of im in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [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 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.231 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.231 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.231 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [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 0.241 * [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)) 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.245 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.247 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify (sqrt 1) into 1 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.250 * [taylor]: Taking taylor expansion of 1 in im 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [taylor]: Taking taylor expansion of 0 in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.254 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.254 * [taylor]: Taking taylor expansion of 1/2 in im 0.254 * [backup-simplify]: Simplify 1/2 into 1/2 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.254 * [taylor]: Taking taylor expansion of im in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.260 * [taylor]: Taking taylor expansion of 0 in im 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.263 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.263 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.263 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.263 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.263 * [taylor]: Taking taylor expansion of re in im 0.263 * [backup-simplify]: Simplify re into re 0.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.263 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.263 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.263 * [taylor]: Taking taylor expansion of im in im 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.263 * [taylor]: Taking taylor expansion of re in im 0.263 * [backup-simplify]: Simplify re into re 0.263 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.264 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.264 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.264 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.264 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.264 * [taylor]: Taking taylor expansion of re in re 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.264 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.264 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.265 * [taylor]: Taking taylor expansion of im in re 0.265 * [backup-simplify]: Simplify im into im 0.265 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.265 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.265 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.265 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.266 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.266 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.266 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.266 * [taylor]: Taking taylor expansion of im in re 0.266 * [backup-simplify]: Simplify im into im 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.266 * [taylor]: Taking taylor expansion of re in re 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.266 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.266 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.266 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 im) into im 0.267 * [taylor]: Taking taylor expansion of im in im 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [taylor]: Taking taylor expansion of 1 in im 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.270 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.270 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.270 * [taylor]: Taking taylor expansion of 1/2 in im 0.270 * [backup-simplify]: Simplify 1/2 into 1/2 0.270 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [taylor]: Taking taylor expansion of 0 in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.276 * [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))))) 0.277 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.277 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.277 * [taylor]: Taking taylor expansion of re in im 0.277 * [backup-simplify]: Simplify re into re 0.277 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.277 * [taylor]: Taking taylor expansion of re in im 0.277 * [backup-simplify]: Simplify re into re 0.277 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.277 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.277 * [taylor]: Taking taylor expansion of im in im 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (* 1 1) into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.279 * [backup-simplify]: Simplify (sqrt 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.282 * [taylor]: Taking taylor expansion of re in re 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.283 * [taylor]: Taking taylor expansion of im in re 0.283 * [backup-simplify]: Simplify im into im 0.283 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.283 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (sqrt 1) into 1 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.287 * [taylor]: Taking taylor expansion of im in re 0.287 * [backup-simplify]: Simplify im into im 0.287 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.291 * [backup-simplify]: Simplify (+ 1 1) into 2 0.291 * [taylor]: Taking taylor expansion of 2 in im 0.291 * [backup-simplify]: Simplify 2 into 2 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [taylor]: Taking taylor expansion of 0 in im 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 2 into 2 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.298 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.298 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.298 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.298 * [taylor]: Taking taylor expansion of 1/2 in im 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in im 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.311 * [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)) 0.311 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.311 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.311 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.311 * [taylor]: Taking taylor expansion of re in im 0.311 * [backup-simplify]: Simplify re into re 0.311 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.311 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.311 * [taylor]: Taking taylor expansion of im in im 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (sqrt 1) into 1 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.316 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.316 * [taylor]: Taking taylor expansion of re in im 0.316 * [backup-simplify]: Simplify re into re 0.316 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.316 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.316 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.316 * [taylor]: Taking taylor expansion of re in re 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.317 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.317 * [taylor]: Taking taylor expansion of im in re 0.317 * [backup-simplify]: Simplify im into im 0.317 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.317 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.318 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [backup-simplify]: Simplify (sqrt 1) into 1 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.321 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.321 * [taylor]: Taking taylor expansion of re in re 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (/ 1 1) into 1 0.322 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.322 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.322 * [taylor]: Taking taylor expansion of re in re 0.322 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.323 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.323 * [taylor]: Taking taylor expansion of im in re 0.323 * [backup-simplify]: Simplify im into im 0.323 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.323 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.323 * [backup-simplify]: Simplify (+ 1 0) into 1 0.324 * [backup-simplify]: Simplify (sqrt 1) into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.326 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.326 * [taylor]: Taking taylor expansion of re in re 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [backup-simplify]: Simplify (- 1) into -1 0.328 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in im 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.329 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.333 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.335 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.335 * [taylor]: Taking taylor expansion of 1/2 in im 0.335 * [backup-simplify]: Simplify 1/2 into 1/2 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.335 * [taylor]: Taking taylor expansion of im in im 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [taylor]: Taking taylor expansion of 0 in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.343 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.343 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.343 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [backup-simplify]: Simplify re into re 0.343 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.343 * [taylor]: Taking taylor expansion of im in re 0.343 * [backup-simplify]: Simplify im into im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.343 * [taylor]: Taking taylor expansion of im in re 0.343 * [backup-simplify]: Simplify im into im 0.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.343 * [taylor]: Taking taylor expansion of re in re 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.343 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [taylor]: Taking taylor expansion of 0 in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [taylor]: Taking taylor expansion of 1 in im 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [taylor]: Taking taylor expansion of 0 in im 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.348 * [taylor]: Taking taylor expansion of 0 in im 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.349 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.349 * [taylor]: Taking taylor expansion of re in im 0.349 * [backup-simplify]: Simplify re into re 0.349 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.349 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.349 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.349 * [taylor]: Taking taylor expansion of im in im 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.349 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.350 * [taylor]: Taking taylor expansion of im in re 0.350 * [backup-simplify]: Simplify im into im 0.350 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.350 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [backup-simplify]: Simplify im into im 0.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [taylor]: Taking taylor expansion of 1 in im 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in im 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.354 * [taylor]: Taking taylor expansion of im in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [taylor]: Taking taylor expansion of 0 in im 0.359 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.361 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.361 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [backup-simplify]: Simplify re into re 0.361 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.361 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.361 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.362 * [taylor]: Taking taylor expansion of re in re 0.362 * [backup-simplify]: Simplify 0 into 0 0.362 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.362 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.362 * [taylor]: Taking taylor expansion of im in re 0.362 * [backup-simplify]: Simplify im into im 0.362 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.363 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.363 * [taylor]: Taking taylor expansion of re in re 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (* 1 1) into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.363 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.363 * [taylor]: Taking taylor expansion of im in re 0.363 * [backup-simplify]: Simplify im into im 0.363 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.363 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [taylor]: Taking taylor expansion of 1 in im 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in im 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [backup-simplify]: Simplify (* 1 1) into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.371 * [backup-simplify]: Simplify (+ 0 0) into 0 0.371 * [taylor]: Taking taylor expansion of 0 in im 0.371 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [taylor]: Taking taylor expansion of 0 in im 0.378 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.381 * * * [progress]: simplifying candidates 0.381 * * * * [progress]: [ 1 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 2 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 3 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 4 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 5 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 6 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 7 / 50 ] simplifiying candidate # 0.381 * * * * [progress]: [ 8 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 9 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 10 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 11 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 12 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 13 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 14 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 15 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 16 / 50 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.382 * * * * [progress]: [ 17 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 18 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 19 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 20 / 50 ] simplifiying candidate # 0.382 * * * * [progress]: [ 21 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 22 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 23 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 24 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 25 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 26 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 27 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 28 / 50 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.383 * * * * [progress]: [ 29 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 30 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 31 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 32 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 33 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 34 / 50 ] simplifiying candidate # 0.383 * * * * [progress]: [ 35 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 36 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 37 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 38 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 39 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 40 / 50 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 0.384 * * * * [progress]: [ 41 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 42 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 43 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 44 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 45 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 46 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 47 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 48 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 49 / 50 ] simplifiying candidate # 0.384 * * * * [progress]: [ 50 / 50 ] simplifiying candidate # 0.385 * [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)))) (real->posit16 (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) (real->posit16 (+ (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)) (real->posit16 (+ (* re re) (* im im))) 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)) 0.387 * * [simplify]: iteration 1: (72 enodes) 0.406 * * [simplify]: iteration 2: (183 enodes) 0.516 * * [simplify]: iteration 3: (594 enodes) 1.080 * * [simplify]: Extracting #0: cost 45 inf + 0 1.081 * * [simplify]: Extracting #1: cost 157 inf + 46 1.083 * * [simplify]: Extracting #2: cost 464 inf + 1981 1.088 * * [simplify]: Extracting #3: cost 331 inf + 21603 1.106 * * [simplify]: Extracting #4: cost 93 inf + 74989 1.129 * * [simplify]: Extracting #5: cost 0 inf + 102080 1.150 * [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)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (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 (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (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)) (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (- (* re re) (- (* (sqrt (+ (* im im) (* re re))) re) (+ (* im im) (* re re)))) (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (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))) (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re))) (+ (* (* re (* re re)) (* re (* re re))) (* (* im (* im im)) (* im (* im im)))) (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (* (+ re im) (- re im)) (real->posit16 (+ (* im im) (* re re))) im re (- re) (+ re im) (* re 2) 0 (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) 1.154 * * * [progress]: adding candidates to table 1.749 * * [progress]: iteration 2 / 4 1.750 * * * [progress]: picking best candidate 1.757 * * * * [pick]: Picked # 1.757 * * * [progress]: localizing error 1.807 * * * [progress]: generating rewritten candidates 1.807 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.828 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.961 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 2.025 * * * [progress]: generating series expansions 2.025 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 2.026 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.026 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.026 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.026 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.026 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.026 * [taylor]: Taking taylor expansion of im in im 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.026 * [taylor]: Taking taylor expansion of re in im 2.026 * [backup-simplify]: Simplify re into re 2.026 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.026 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.026 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.026 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.027 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.027 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.027 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.027 * [taylor]: Taking taylor expansion of im in re 2.027 * [backup-simplify]: Simplify im into im 2.027 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 (* im im) into (pow im 2) 2.027 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.027 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.028 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.028 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.028 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.028 * [taylor]: Taking taylor expansion of im in re 2.028 * [backup-simplify]: Simplify im into im 2.028 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.028 * [taylor]: Taking taylor expansion of re in re 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.028 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.028 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.028 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.028 * [taylor]: Taking taylor expansion of im in im 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [taylor]: Taking taylor expansion of 0 in im 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (+ 0 1) into 1 2.030 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.030 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.030 * [taylor]: Taking taylor expansion of 1/2 in im 2.030 * [backup-simplify]: Simplify 1/2 into 1/2 2.030 * [taylor]: Taking taylor expansion of im in im 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.032 * [taylor]: Taking taylor expansion of 0 in im 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.033 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.033 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.033 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.033 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.033 * [taylor]: Taking taylor expansion of re in im 2.033 * [backup-simplify]: Simplify re into re 2.034 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.034 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.034 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.034 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.034 * [taylor]: Taking taylor expansion of im in im 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [backup-simplify]: Simplify (+ 0 1) into 1 2.035 * [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 2.036 * [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 re 2.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.037 * [taylor]: Taking taylor expansion of re in re 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.037 * [taylor]: Taking taylor expansion of im in re 2.037 * [backup-simplify]: Simplify im into im 2.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.037 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.038 * [backup-simplify]: Simplify (+ 1 0) into 1 2.038 * [backup-simplify]: Simplify (sqrt 1) into 1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.040 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.040 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.040 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.040 * [taylor]: Taking taylor expansion of re in re 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (* 1 1) into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.040 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.040 * [taylor]: Taking taylor expansion of im in re 2.040 * [backup-simplify]: Simplify im into im 2.040 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.040 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.041 * [backup-simplify]: Simplify (+ 1 0) into 1 2.041 * [backup-simplify]: Simplify (sqrt 1) into 1 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (+ 0 0) into 0 2.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.043 * [taylor]: Taking taylor expansion of 1 in im 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [taylor]: Taking taylor expansion of 0 in im 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 1 into 1 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.045 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.045 * [taylor]: Taking taylor expansion of 1/2 in im 2.045 * [backup-simplify]: Simplify 1/2 into 1/2 2.045 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.045 * [taylor]: Taking taylor expansion of im in im 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in im 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.050 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.050 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.050 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.050 * [taylor]: Taking taylor expansion of re in im 2.050 * [backup-simplify]: Simplify re into re 2.050 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.050 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.050 * [taylor]: Taking taylor expansion of im in im 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 1) into 1 2.051 * [backup-simplify]: Simplify (+ 0 1) into 1 2.051 * [backup-simplify]: Simplify (sqrt 1) into 1 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.053 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.054 * [backup-simplify]: Simplify (+ 1 0) into 1 2.056 * [backup-simplify]: Simplify (sqrt 1) into 1 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.058 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (* 1 1) into 1 2.058 * [backup-simplify]: Simplify (/ 1 1) into 1 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.058 * [taylor]: Taking taylor expansion of im in re 2.058 * [backup-simplify]: Simplify im into im 2.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.059 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.059 * [backup-simplify]: Simplify (+ 1 0) into 1 2.059 * [backup-simplify]: Simplify (sqrt 1) into 1 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.061 * [taylor]: Taking taylor expansion of 1 in im 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of 0 in im 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.063 * [taylor]: Taking taylor expansion of 1/2 in im 2.063 * [backup-simplify]: Simplify 1/2 into 1/2 2.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.068 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.068 * [backup-simplify]: Simplify (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) 2.068 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in (im re) around 0 2.068 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 2.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.068 * [taylor]: Taking taylor expansion of im in re 2.068 * [backup-simplify]: Simplify im into im 2.068 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.068 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.068 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.068 * [taylor]: Taking taylor expansion of im in re 2.068 * [backup-simplify]: Simplify im into im 2.068 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.068 * [taylor]: Taking taylor expansion of re in re 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.068 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.068 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.069 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.069 * [backup-simplify]: Simplify (+ 0 0) into 0 2.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.069 * [taylor]: Taking taylor expansion of re in re 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.069 * [backup-simplify]: Simplify (- 0) into 0 2.069 * [backup-simplify]: Simplify (+ im 0) into im 2.069 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 2.069 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.069 * [taylor]: Taking taylor expansion of im in im 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.069 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.069 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.069 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.070 * [taylor]: Taking taylor expansion of im in im 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.070 * [taylor]: Taking taylor expansion of re in im 2.070 * [backup-simplify]: Simplify re into re 2.070 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.070 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.070 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.070 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.070 * [taylor]: Taking taylor expansion of re in im 2.070 * [backup-simplify]: Simplify re into re 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (- re) into (- re) 2.070 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.071 * [backup-simplify]: Simplify (- 0) into 0 2.071 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.072 * [backup-simplify]: Simplify (+ 1 0) into 1 2.072 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.073 * [backup-simplify]: Simplify (- 0) into 0 2.073 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.073 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.073 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.073 * [taylor]: Taking taylor expansion of im in im 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.073 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.073 * [taylor]: Taking taylor expansion of im in im 2.073 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify 1 into 1 2.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.073 * [taylor]: Taking taylor expansion of re in im 2.073 * [backup-simplify]: Simplify re into re 2.073 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.073 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.073 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.073 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.074 * [taylor]: Taking taylor expansion of re in im 2.074 * [backup-simplify]: Simplify re into re 2.074 * [backup-simplify]: Simplify (* 1 1) into 1 2.074 * [backup-simplify]: Simplify (- re) into (- re) 2.074 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (* 1 1) into 1 2.075 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.075 * [backup-simplify]: Simplify (+ 1 0) into 1 2.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.076 * [backup-simplify]: Simplify (- 0) into 0 2.076 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.076 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.076 * [taylor]: Taking taylor expansion of (* 2 re) in re 2.076 * [taylor]: Taking taylor expansion of 2 in re 2.076 * [backup-simplify]: Simplify 2 into 2 2.076 * [taylor]: Taking taylor expansion of re in re 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (* 2 0) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.078 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.078 * [backup-simplify]: Simplify (+ 0 0) into 0 2.078 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.079 * [backup-simplify]: Simplify (- 0) into 0 2.079 * [backup-simplify]: Simplify (+ 0 0) into 0 2.079 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.079 * [taylor]: Taking taylor expansion of 0 in re 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.079 * [backup-simplify]: Simplify 2 into 2 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.081 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.082 * [backup-simplify]: Simplify (+ 0 0) into 0 2.082 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 2.082 * [backup-simplify]: Simplify (- 0) into 0 2.083 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 2.083 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 2.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 2.083 * [taylor]: Taking taylor expansion of 1/2 in re 2.083 * [backup-simplify]: Simplify 1/2 into 1/2 2.083 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify 0 into 0 2.084 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 2.088 * [backup-simplify]: Simplify (- 0) into 0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.088 * [taylor]: Taking taylor expansion of 0 in re 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 2.090 * [backup-simplify]: Simplify (/ (+ (* (/ 1 im) (/ 1 im)) 0) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 2.090 * [approximate]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 2.090 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 2.090 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 2.090 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.090 * [taylor]: Taking taylor expansion of im in re 2.090 * [backup-simplify]: Simplify im into im 2.090 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.090 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.090 * [taylor]: Taking taylor expansion of re in re 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.091 * [taylor]: Taking taylor expansion of im in re 2.091 * [backup-simplify]: Simplify im into im 2.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.091 * [backup-simplify]: Simplify (+ 1 0) into 1 2.091 * [backup-simplify]: Simplify (sqrt 1) into 1 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (+ 0 0) into 0 2.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.093 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.093 * [taylor]: Taking taylor expansion of re in re 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.094 * [backup-simplify]: Simplify (- 1) into -1 2.094 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.094 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 2.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (- 0) into 0 2.095 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.096 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.098 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (- 0) into 0 2.098 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.099 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.099 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 2.099 * [backup-simplify]: Simplify (/ 1 1/2) into 2 2.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.100 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) 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 2.100 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 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 2.100 * [backup-simplify]: Simplify (* 1 1) into 1 2.100 * [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 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.103 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.103 * [taylor]: Taking taylor expansion of re in im 2.103 * [backup-simplify]: Simplify re into re 2.103 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.103 * [backup-simplify]: Simplify (+ 1 0) into 1 2.103 * [backup-simplify]: Simplify (* 1 1) into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.104 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 2.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.104 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.104 * [taylor]: Taking taylor expansion of re in im 2.104 * [backup-simplify]: Simplify re into re 2.104 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.104 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.104 * [taylor]: Taking taylor expansion of im in im 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (* 1 1) into 1 2.105 * [backup-simplify]: Simplify (/ 1 1) into 1 2.105 * [backup-simplify]: Simplify (+ 0 1) into 1 2.105 * [backup-simplify]: Simplify (sqrt 1) into 1 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ 0 0) into 0 2.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.107 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.107 * [taylor]: Taking taylor expansion of re in im 2.107 * [backup-simplify]: Simplify re into re 2.107 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.107 * [backup-simplify]: Simplify (+ 1 0) into 1 2.108 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [taylor]: Taking taylor expansion of 1 in re 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.108 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.109 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.113 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.114 * [backup-simplify]: Simplify (- 0) into 0 2.114 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.116 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.116 * [taylor]: Taking taylor expansion of 1/2 in re 2.116 * [backup-simplify]: Simplify 1/2 into 1/2 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 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.117 * [backup-simplify]: Simplify (* 1 1) into 1 2.117 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.124 * [backup-simplify]: Simplify (- 0) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 2.128 * [taylor]: Taking taylor expansion of 0 in re 2.128 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 2.133 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 2.133 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 2.133 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 2.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 2.133 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.133 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.133 * [taylor]: Taking taylor expansion of re in re 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.134 * [taylor]: Taking taylor expansion of re in re 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.135 * [taylor]: Taking taylor expansion of im in re 2.135 * [backup-simplify]: Simplify im into im 2.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.136 * [backup-simplify]: Simplify (+ 1 0) into 1 2.136 * [backup-simplify]: Simplify (sqrt 1) into 1 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.139 * [taylor]: Taking taylor expansion of im in re 2.139 * [backup-simplify]: Simplify im into im 2.139 * [backup-simplify]: Simplify (+ 1 1) into 2 2.139 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.140 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 2.140 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 2.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.140 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.140 * [taylor]: Taking taylor expansion of re in im 2.140 * [backup-simplify]: Simplify re into re 2.140 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.140 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.140 * [taylor]: Taking taylor expansion of re in im 2.140 * [backup-simplify]: Simplify re into re 2.140 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.140 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.140 * [taylor]: Taking taylor expansion of im in im 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.142 * [backup-simplify]: Simplify (+ 0 1) into 1 2.142 * [backup-simplify]: Simplify (sqrt 1) into 1 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.145 * [taylor]: Taking taylor expansion of im in im 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (+ 0 1) into 1 2.146 * [backup-simplify]: Simplify (* 1 1) into 1 2.147 * [backup-simplify]: Simplify (* 1 1) into 1 2.147 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 2.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 2.147 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [backup-simplify]: Simplify re into re 2.147 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.147 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.147 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.147 * [taylor]: Taking taylor expansion of re in im 2.147 * [backup-simplify]: Simplify re into re 2.147 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.148 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.148 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.148 * [taylor]: Taking taylor expansion of im in im 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (* 1 1) into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.149 * [backup-simplify]: Simplify (+ 0 1) into 1 2.149 * [backup-simplify]: Simplify (sqrt 1) into 1 2.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.152 * [taylor]: Taking taylor expansion of im in im 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (+ 0 1) into 1 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.153 * [backup-simplify]: Simplify (* 1 1) into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [taylor]: Taking taylor expansion of 1 in re 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.155 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.155 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.155 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.156 * [taylor]: Taking taylor expansion of re in re 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (- 0) into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.163 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.164 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.164 * [taylor]: Taking taylor expansion of 1/2 in re 2.164 * [backup-simplify]: Simplify 1/2 into 1/2 2.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.164 * [taylor]: Taking taylor expansion of re in re 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (* 1 1) into 1 2.165 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (- 0) into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.174 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 2.174 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 2.174 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 2.174 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.174 * [taylor]: Taking taylor expansion of 2.0 in re 2.174 * [backup-simplify]: Simplify 2.0 into 2.0 2.174 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 2.175 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 2.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.175 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.175 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.175 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.175 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.176 * [taylor]: Taking taylor expansion of re in re 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (- 0) into 0 2.176 * [backup-simplify]: Simplify (+ im 0) into im 2.176 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.176 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.176 * [backup-simplify]: Simplify (- 1) into -1 2.177 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 2.177 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 2.177 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 2.177 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.177 * [taylor]: Taking taylor expansion of 2.0 in im 2.177 * [backup-simplify]: Simplify 2.0 into 2.0 2.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.178 * [taylor]: Taking taylor expansion of im in im 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.178 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.178 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.178 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.178 * [taylor]: Taking taylor expansion of im in im 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.178 * [taylor]: Taking taylor expansion of re in im 2.178 * [backup-simplify]: Simplify re into re 2.178 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.178 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.178 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.178 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.178 * [taylor]: Taking taylor expansion of re in im 2.178 * [backup-simplify]: Simplify re into re 2.179 * [backup-simplify]: Simplify (- re) into (- re) 2.179 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.179 * [backup-simplify]: Simplify (- 0) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.180 * [backup-simplify]: Simplify (+ 1 0) into 1 2.180 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.181 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.181 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.182 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.182 * [backup-simplify]: Simplify (- 0) into 0 2.183 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.183 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 2.183 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.183 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.183 * [taylor]: Taking taylor expansion of 2.0 in im 2.183 * [backup-simplify]: Simplify 2.0 into 2.0 2.183 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.184 * [taylor]: Taking taylor expansion of im in im 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.184 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.184 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.184 * [taylor]: Taking taylor expansion of im in im 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.184 * [taylor]: Taking taylor expansion of re in im 2.184 * [backup-simplify]: Simplify re into re 2.184 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.184 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.184 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.184 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.184 * [taylor]: Taking taylor expansion of re in im 2.184 * [backup-simplify]: Simplify re into re 2.184 * [backup-simplify]: Simplify (- re) into (- re) 2.184 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.185 * [backup-simplify]: Simplify (- 0) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify (* 1 1) into 1 2.186 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.186 * [backup-simplify]: Simplify (+ 1 0) into 1 2.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.187 * [backup-simplify]: Simplify (- 0) into 0 2.187 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.187 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.187 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.188 * [backup-simplify]: Simplify (- 0) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.189 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.189 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 2.189 * [taylor]: Taking taylor expansion of 0 in re 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.191 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 2.192 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.192 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.192 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.192 * [taylor]: Taking taylor expansion of 2.0 in re 2.192 * [backup-simplify]: Simplify 2.0 into 2.0 2.192 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.192 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.192 * [taylor]: Taking taylor expansion of 2 in re 2.192 * [backup-simplify]: Simplify 2 into 2 2.193 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.193 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.193 * [taylor]: Taking taylor expansion of re in re 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (sqrt 0) into 0 2.195 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.196 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 2.196 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.198 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.199 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 2.199 * [backup-simplify]: Simplify (- 0) into 0 2.199 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 2.200 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 2.201 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 2.201 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.202 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.204 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 2.204 * [taylor]: Taking taylor expansion of 0 in re 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 2.208 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.210 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 2.213 * [backup-simplify]: Simplify (- 0) into 0 2.213 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 2.215 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.216 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 2.218 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 2.219 * [taylor]: Taking taylor expansion of 1/4 in re 2.219 * [backup-simplify]: Simplify 1/4 into 1/4 2.219 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 2.219 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 2.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.219 * [taylor]: Taking taylor expansion of 2.0 in re 2.219 * [backup-simplify]: Simplify 2.0 into 2.0 2.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.220 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.220 * [taylor]: Taking taylor expansion of 2 in re 2.220 * [backup-simplify]: Simplify 2 into 2 2.220 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.221 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.221 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.221 * [taylor]: Taking taylor expansion of re in re 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [backup-simplify]: Simplify (sqrt 0) into 0 2.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.227 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 2.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.229 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 2.232 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.235 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.235 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 2.243 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.247 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.247 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.253 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.254 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.259 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.262 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.273 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 2.273 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 im) (/ 1 im)) 0) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 2.274 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 2.274 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 2.274 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.274 * [taylor]: Taking taylor expansion of 2.0 in re 2.274 * [backup-simplify]: Simplify 2.0 into 2.0 2.274 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.275 * [taylor]: Taking taylor expansion of im in re 2.275 * [backup-simplify]: Simplify im into im 2.275 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 2.275 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 2.276 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.276 * [taylor]: Taking taylor expansion of re in re 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (* 1 1) into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.277 * [taylor]: Taking taylor expansion of im in re 2.277 * [backup-simplify]: Simplify im into im 2.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.277 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.277 * [backup-simplify]: Simplify (+ 1 0) into 1 2.278 * [backup-simplify]: Simplify (sqrt 1) into 1 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.280 * [taylor]: Taking taylor expansion of re in re 2.280 * [backup-simplify]: Simplify 0 into 0 2.280 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (/ 1 1) into 1 2.281 * [backup-simplify]: Simplify (- 1) into -1 2.282 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (- 0) into 0 2.283 * [backup-simplify]: Simplify (+ 0 0) into 0 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.289 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.291 * [backup-simplify]: Simplify (- 0) into 0 2.291 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.291 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.292 * [backup-simplify]: Simplify (sqrt 0) into 0 2.292 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.292 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 2.292 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.292 * [taylor]: Taking taylor expansion of 2.0 in im 2.292 * [backup-simplify]: Simplify 2.0 into 2.0 2.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.294 * [taylor]: Taking taylor expansion of im in im 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.295 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.295 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.295 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 2.295 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.295 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.295 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.295 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.295 * [taylor]: Taking taylor expansion of re in im 2.295 * [backup-simplify]: Simplify re into re 2.295 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.295 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.295 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.296 * [taylor]: Taking taylor expansion of im in im 2.296 * [backup-simplify]: Simplify 0 into 0 2.296 * [backup-simplify]: Simplify 1 into 1 2.296 * [backup-simplify]: Simplify (* 1 1) into 1 2.296 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [backup-simplify]: Simplify (+ 0 1) into 1 2.297 * [backup-simplify]: Simplify (sqrt 1) into 1 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.300 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.300 * [taylor]: Taking taylor expansion of re in im 2.300 * [backup-simplify]: Simplify re into re 2.300 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.300 * [backup-simplify]: Simplify (+ 1 0) into 1 2.301 * [backup-simplify]: Simplify (/ 1 1) into 1 2.301 * [backup-simplify]: Simplify (sqrt 0) into 0 2.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.303 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 2.303 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.303 * [taylor]: Taking taylor expansion of 2.0 in im 2.303 * [backup-simplify]: Simplify 2.0 into 2.0 2.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.304 * [taylor]: Taking taylor expansion of im in im 2.304 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.305 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 2.305 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.305 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.305 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.305 * [taylor]: Taking taylor expansion of re in im 2.305 * [backup-simplify]: Simplify re into re 2.305 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.306 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.306 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.306 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.306 * [taylor]: Taking taylor expansion of im in im 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (* 1 1) into 1 2.307 * [backup-simplify]: Simplify (/ 1 1) into 1 2.307 * [backup-simplify]: Simplify (+ 0 1) into 1 2.307 * [backup-simplify]: Simplify (sqrt 1) into 1 2.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (+ 0 0) into 0 2.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.310 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.310 * [taylor]: Taking taylor expansion of re in im 2.310 * [backup-simplify]: Simplify re into re 2.310 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.311 * [backup-simplify]: Simplify (+ 1 0) into 1 2.311 * [backup-simplify]: Simplify (/ 1 1) into 1 2.311 * [backup-simplify]: Simplify (sqrt 0) into 0 2.313 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.313 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.313 * [taylor]: Taking taylor expansion of 0 in re 2.313 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.317 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.317 * [taylor]: Taking taylor expansion of +nan.0 in re 2.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.317 * [taylor]: Taking taylor expansion of 2.0 in re 2.317 * [backup-simplify]: Simplify 2.0 into 2.0 2.317 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.318 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.320 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.321 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.324 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.324 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.324 * [taylor]: Taking taylor expansion of +nan.0 in re 2.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.324 * [taylor]: Taking taylor expansion of 2.0 in re 2.324 * [backup-simplify]: Simplify 2.0 into 2.0 2.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.325 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.325 * [taylor]: Taking taylor expansion of +nan.0 in re 2.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.325 * [taylor]: Taking taylor expansion of 2.0 in re 2.325 * [backup-simplify]: Simplify 2.0 into 2.0 2.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.327 * [taylor]: Taking taylor expansion of re in re 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 1 into 1 2.328 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.329 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.330 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.333 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.335 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.336 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.338 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.339 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.341 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.341 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.344 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.345 * [backup-simplify]: Simplify (- 0) into 0 2.345 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.346 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.348 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 2.348 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 2.348 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.348 * [taylor]: Taking taylor expansion of +nan.0 in re 2.348 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.348 * [taylor]: Taking taylor expansion of 2.0 in re 2.348 * [backup-simplify]: Simplify 2.0 into 2.0 2.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.349 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 2.349 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 2.349 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.349 * [taylor]: Taking taylor expansion of +nan.0 in re 2.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.349 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.349 * [taylor]: Taking taylor expansion of 2.0 in re 2.349 * [backup-simplify]: Simplify 2.0 into 2.0 2.350 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.350 * [taylor]: Taking taylor expansion of re in re 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.351 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.351 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 2.351 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.351 * [taylor]: Taking taylor expansion of +nan.0 in re 2.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.351 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.351 * [taylor]: Taking taylor expansion of 2.0 in re 2.351 * [backup-simplify]: Simplify 2.0 into 2.0 2.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.352 * [taylor]: Taking taylor expansion of re in re 2.352 * [backup-simplify]: Simplify 0 into 0 2.352 * [backup-simplify]: Simplify 1 into 1 2.352 * [backup-simplify]: Simplify (* 1 1) into 1 2.352 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.353 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.355 * [backup-simplify]: Simplify (- 0) into 0 2.356 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.357 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.359 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.360 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.361 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.364 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 2.364 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 2.365 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 2.365 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 2.365 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.365 * [taylor]: Taking taylor expansion of 2.0 in re 2.365 * [backup-simplify]: Simplify 2.0 into 2.0 2.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.365 * [taylor]: Taking taylor expansion of im in re 2.365 * [backup-simplify]: Simplify im into im 2.366 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 2.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.366 * [taylor]: Taking taylor expansion of re in re 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (/ 1 1) into 1 2.366 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.366 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.366 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.366 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.366 * [taylor]: Taking taylor expansion of re in re 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.366 * [backup-simplify]: Simplify (* 1 1) into 1 2.367 * [backup-simplify]: Simplify (/ 1 1) into 1 2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.367 * [taylor]: Taking taylor expansion of im in re 2.367 * [backup-simplify]: Simplify im into im 2.367 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.367 * [backup-simplify]: Simplify (+ 1 0) into 1 2.367 * [backup-simplify]: Simplify (sqrt 1) into 1 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.369 * [backup-simplify]: Simplify (+ 1 1) into 2 2.369 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.370 * [backup-simplify]: Simplify (sqrt 0) into 0 2.371 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.371 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 2.371 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.371 * [taylor]: Taking taylor expansion of 2.0 in im 2.371 * [backup-simplify]: Simplify 2.0 into 2.0 2.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.371 * [taylor]: Taking taylor expansion of im in im 2.371 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify 1 into 1 2.372 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 2.372 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.372 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.372 * [taylor]: Taking taylor expansion of re in im 2.372 * [backup-simplify]: Simplify re into re 2.372 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.372 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.372 * [taylor]: Taking taylor expansion of re in im 2.372 * [backup-simplify]: Simplify re into re 2.372 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.372 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.372 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.372 * [taylor]: Taking taylor expansion of im in im 2.372 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.373 * [backup-simplify]: Simplify (/ 1 1) into 1 2.373 * [backup-simplify]: Simplify (+ 0 1) into 1 2.374 * [backup-simplify]: Simplify (sqrt 1) into 1 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.375 * [backup-simplify]: Simplify (+ 0 1) into 1 2.376 * [backup-simplify]: Simplify (/ 1 1) into 1 2.376 * [backup-simplify]: Simplify (sqrt 0) into 0 2.377 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.377 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 2.377 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.377 * [taylor]: Taking taylor expansion of 2.0 in im 2.377 * [backup-simplify]: Simplify 2.0 into 2.0 2.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.378 * [taylor]: Taking taylor expansion of im in im 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 1 into 1 2.379 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 2.379 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 2.379 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.379 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.379 * [taylor]: Taking taylor expansion of re in im 2.380 * [backup-simplify]: Simplify re into re 2.380 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.380 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.380 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.380 * [taylor]: Taking taylor expansion of re in im 2.380 * [backup-simplify]: Simplify re into re 2.380 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.380 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.380 * [taylor]: Taking taylor expansion of im in im 2.380 * [backup-simplify]: Simplify 0 into 0 2.380 * [backup-simplify]: Simplify 1 into 1 2.381 * [backup-simplify]: Simplify (* 1 1) into 1 2.381 * [backup-simplify]: Simplify (/ 1 1) into 1 2.381 * [backup-simplify]: Simplify (+ 0 1) into 1 2.382 * [backup-simplify]: Simplify (sqrt 1) into 1 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (+ 0 0) into 0 2.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.385 * [backup-simplify]: Simplify (+ 0 1) into 1 2.386 * [backup-simplify]: Simplify (/ 1 1) into 1 2.386 * [backup-simplify]: Simplify (sqrt 0) into 0 2.387 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.388 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.388 * [taylor]: Taking taylor expansion of 0 in re 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 0 into 0 2.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.392 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.392 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.392 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.392 * [taylor]: Taking taylor expansion of +nan.0 in re 2.392 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.392 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.392 * [taylor]: Taking taylor expansion of 2.0 in re 2.392 * [backup-simplify]: Simplify 2.0 into 2.0 2.392 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.394 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.397 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.398 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.399 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.400 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.401 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.405 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.405 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.405 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.405 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.405 * [taylor]: Taking taylor expansion of +nan.0 in re 2.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.405 * [taylor]: Taking taylor expansion of 2.0 in re 2.405 * [backup-simplify]: Simplify 2.0 into 2.0 2.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.406 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.406 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.406 * [taylor]: Taking taylor expansion of +nan.0 in re 2.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.406 * [taylor]: Taking taylor expansion of 2.0 in re 2.406 * [backup-simplify]: Simplify 2.0 into 2.0 2.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.407 * [taylor]: Taking taylor expansion of re in re 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.409 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.412 * [backup-simplify]: Simplify (- 0) into 0 2.413 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.416 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.417 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.421 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.421 * [backup-simplify]: Simplify (- 0) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.425 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.425 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.427 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.432 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 2.432 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 2.432 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.432 * [taylor]: Taking taylor expansion of +nan.0 in re 2.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.432 * [taylor]: Taking taylor expansion of 2.0 in re 2.432 * [backup-simplify]: Simplify 2.0 into 2.0 2.433 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.433 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 2.433 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 2.433 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.433 * [taylor]: Taking taylor expansion of +nan.0 in re 2.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.433 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.434 * [taylor]: Taking taylor expansion of 2.0 in re 2.434 * [backup-simplify]: Simplify 2.0 into 2.0 2.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.435 * [taylor]: Taking taylor expansion of re in re 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.436 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.436 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 2.436 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.436 * [taylor]: Taking taylor expansion of +nan.0 in re 2.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.436 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.436 * [taylor]: Taking taylor expansion of 2.0 in re 2.436 * [backup-simplify]: Simplify 2.0 into 2.0 2.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.437 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.437 * [taylor]: Taking taylor expansion of re in re 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 1 into 1 2.438 * [backup-simplify]: Simplify (* 1 1) into 1 2.439 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.440 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.441 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.448 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.449 * [backup-simplify]: Simplify (+ 0 0) into 0 2.449 * [backup-simplify]: Simplify (- 0) into 0 2.451 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.453 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.455 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.460 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 2.461 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 2.461 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 2.461 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 2.461 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.461 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.461 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.461 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.461 * [taylor]: Taking taylor expansion of im in im 2.461 * [backup-simplify]: Simplify 0 into 0 2.461 * [backup-simplify]: Simplify 1 into 1 2.461 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.461 * [taylor]: Taking taylor expansion of re in im 2.461 * [backup-simplify]: Simplify re into re 2.461 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.461 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.461 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.462 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.462 * [taylor]: Taking taylor expansion of re in im 2.462 * [backup-simplify]: Simplify re into re 2.462 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.462 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.462 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.462 * [taylor]: Taking taylor expansion of im in re 2.462 * [backup-simplify]: Simplify im into im 2.462 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.462 * [taylor]: Taking taylor expansion of re in re 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.463 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.463 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.463 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.463 * [backup-simplify]: Simplify (+ 0 0) into 0 2.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.463 * [taylor]: Taking taylor expansion of re in re 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.464 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.464 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.464 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.464 * [taylor]: Taking taylor expansion of im in re 2.464 * [backup-simplify]: Simplify im into im 2.464 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.464 * [taylor]: Taking taylor expansion of re in re 2.464 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify 1 into 1 2.464 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.464 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.464 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.464 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.465 * [taylor]: Taking taylor expansion of re in re 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (+ im 0) into im 2.465 * [taylor]: Taking taylor expansion of im in im 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (- 1) into -1 2.466 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.466 * [taylor]: Taking taylor expansion of -1 in im 2.466 * [backup-simplify]: Simplify -1 into -1 2.467 * [backup-simplify]: Simplify -1 into -1 2.467 * [backup-simplify]: Simplify 1 into 1 2.467 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.467 * [backup-simplify]: Simplify (* 1 1) into 1 2.468 * [backup-simplify]: Simplify (+ 0 1) into 1 2.469 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.469 * [backup-simplify]: Simplify (- 0) into 0 2.469 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.469 * [taylor]: Taking taylor expansion of 1/2 in im 2.469 * [backup-simplify]: Simplify 1/2 into 1/2 2.469 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.469 * [taylor]: Taking taylor expansion of im in im 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (/ 1 1) into 1 2.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.474 * [backup-simplify]: Simplify (+ 0 0) into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [taylor]: Taking taylor expansion of 0 in im 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify 0 into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.478 * [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)) 2.478 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.478 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.478 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.478 * [taylor]: Taking taylor expansion of re in im 2.478 * [backup-simplify]: Simplify re into re 2.479 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.479 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.479 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.479 * [taylor]: Taking taylor expansion of im in im 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (/ 1 1) into 1 2.480 * [backup-simplify]: Simplify (+ 0 1) into 1 2.480 * [backup-simplify]: Simplify (sqrt 1) into 1 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.483 * [taylor]: Taking taylor expansion of re in im 2.483 * [backup-simplify]: Simplify re into re 2.483 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.483 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.483 * [taylor]: Taking taylor expansion of re in re 2.483 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify 1 into 1 2.484 * [backup-simplify]: Simplify (* 1 1) into 1 2.484 * [backup-simplify]: Simplify (/ 1 1) into 1 2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.484 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.484 * [taylor]: Taking taylor expansion of im in re 2.484 * [backup-simplify]: Simplify im into im 2.484 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.484 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.485 * [backup-simplify]: Simplify (+ 1 0) into 1 2.485 * [backup-simplify]: Simplify (sqrt 1) into 1 2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.488 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.488 * [taylor]: Taking taylor expansion of re in re 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (/ 1 1) into 1 2.488 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.489 * [taylor]: Taking taylor expansion of re in re 2.489 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify 1 into 1 2.489 * [backup-simplify]: Simplify (* 1 1) into 1 2.489 * [backup-simplify]: Simplify (/ 1 1) into 1 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.489 * [taylor]: Taking taylor expansion of im in re 2.489 * [backup-simplify]: Simplify im into im 2.490 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.490 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.490 * [backup-simplify]: Simplify (+ 1 0) into 1 2.490 * [backup-simplify]: Simplify (sqrt 1) into 1 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.493 * [taylor]: Taking taylor expansion of re in re 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [backup-simplify]: Simplify (/ 1 1) into 1 2.494 * [backup-simplify]: Simplify (- 1) into -1 2.494 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.494 * [taylor]: Taking taylor expansion of 0 in im 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (- 0) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [taylor]: Taking taylor expansion of 0 in im 2.496 * [backup-simplify]: Simplify 0 into 0 2.496 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.501 * [taylor]: Taking taylor expansion of 1/2 in im 2.501 * [backup-simplify]: Simplify 1/2 into 1/2 2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.501 * [taylor]: Taking taylor expansion of im in im 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* 1 1) into 1 2.502 * [backup-simplify]: Simplify (/ 1 1) into 1 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify (- 0) into 0 2.509 * [backup-simplify]: Simplify (+ 0 0) into 0 2.509 * [taylor]: Taking taylor expansion of 0 in im 2.509 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [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))))) 2.511 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.512 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.512 * [taylor]: Taking taylor expansion of re in im 2.512 * [backup-simplify]: Simplify re into re 2.512 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.512 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.512 * [taylor]: Taking taylor expansion of re in im 2.512 * [backup-simplify]: Simplify re into re 2.512 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.512 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.512 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.512 * [taylor]: Taking taylor expansion of im in im 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (* 1 1) into 1 2.512 * [backup-simplify]: Simplify (/ 1 1) into 1 2.513 * [backup-simplify]: Simplify (+ 0 1) into 1 2.513 * [backup-simplify]: Simplify (sqrt 1) into 1 2.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (+ 0 0) into 0 2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.514 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.515 * [taylor]: Taking taylor expansion of re in re 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (/ 1 1) into 1 2.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.515 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.515 * [taylor]: Taking taylor expansion of re in re 2.515 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify 1 into 1 2.515 * [backup-simplify]: Simplify (* 1 1) into 1 2.516 * [backup-simplify]: Simplify (/ 1 1) into 1 2.516 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.516 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.516 * [taylor]: Taking taylor expansion of im in re 2.516 * [backup-simplify]: Simplify im into im 2.516 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.516 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.516 * [backup-simplify]: Simplify (+ 1 0) into 1 2.516 * [backup-simplify]: Simplify (sqrt 1) into 1 2.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify (+ 0 0) into 0 2.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.518 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.518 * [taylor]: Taking taylor expansion of re in re 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.518 * [backup-simplify]: Simplify (/ 1 1) into 1 2.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.518 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.518 * [taylor]: Taking taylor expansion of re in re 2.518 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify 1 into 1 2.519 * [backup-simplify]: Simplify (* 1 1) into 1 2.519 * [backup-simplify]: Simplify (/ 1 1) into 1 2.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.519 * [taylor]: Taking taylor expansion of im in re 2.519 * [backup-simplify]: Simplify im into im 2.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.519 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.519 * [backup-simplify]: Simplify (+ 1 0) into 1 2.520 * [backup-simplify]: Simplify (sqrt 1) into 1 2.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.521 * [backup-simplify]: Simplify (+ 0 0) into 0 2.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.521 * [backup-simplify]: Simplify (+ 1 1) into 2 2.522 * [taylor]: Taking taylor expansion of 2 in im 2.522 * [backup-simplify]: Simplify 2 into 2 2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.522 * [backup-simplify]: Simplify (+ 0 0) into 0 2.522 * [taylor]: Taking taylor expansion of 0 in im 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 2 into 2 2.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.524 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.525 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.525 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.525 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.525 * [taylor]: Taking taylor expansion of 1/2 in im 2.525 * [backup-simplify]: Simplify 1/2 into 1/2 2.525 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.525 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.525 * [taylor]: Taking taylor expansion of im in im 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [backup-simplify]: Simplify (* 1 1) into 1 2.526 * [backup-simplify]: Simplify (/ 1 1) into 1 2.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.527 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.529 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.529 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.530 * [backup-simplify]: Simplify (+ 0 0) into 0 2.530 * [taylor]: Taking taylor expansion of 0 in im 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.532 * * * [progress]: simplifying candidates 2.532 * * * * [progress]: [ 1 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 2 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 3 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 4 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 5 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 6 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 7 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 8 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 9 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 10 / 101 ] simplifiying candidate # 2.532 * * * * [progress]: [ 11 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 12 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 13 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 14 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 15 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 16 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))> 2.533 * * * * [progress]: [ 17 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 18 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 19 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 20 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 21 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 22 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 23 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 24 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 25 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 26 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 27 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 28 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 29 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 30 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 31 / 101 ] simplifiying candidate # 2.533 * * * * [progress]: [ 32 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 33 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 34 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 35 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 36 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 37 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 38 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 39 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 40 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 41 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 42 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 43 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 44 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 45 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 46 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 47 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 48 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 49 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 50 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 51 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 52 / 101 ] simplifiying candidate # 2.534 * * * * [progress]: [ 53 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 54 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 55 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 56 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 57 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 58 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 59 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 60 / 101 ] simplifiying candidate #real (real->posit16 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))))> 2.535 * * * * [progress]: [ 61 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 62 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 63 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 64 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 65 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 66 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 67 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 68 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 69 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 70 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 71 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 72 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 73 / 101 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))))))> 2.535 * * * * [progress]: [ 74 / 101 ] simplifiying candidate # 2.535 * * * * [progress]: [ 75 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 76 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 77 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 78 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 79 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 80 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 81 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 82 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 83 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 84 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 85 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 86 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 87 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 88 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 89 / 101 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re))))))))> 2.536 * * * * [progress]: [ 90 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 91 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 92 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 93 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 94 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 95 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 96 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 97 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 98 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 99 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 100 / 101 ] simplifiying candidate # 2.536 * * * * [progress]: [ 101 / 101 ] simplifiying candidate # 2.538 * [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)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (- (log (+ (* im im) 0)) (log (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (+ (* im im) 0) (+ (* im im) 0)) (+ (* im im) 0)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (- (+ (* im im) 0)) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (+ (* im im) 0)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1) (/ (cbrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (cbrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (cbrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1) (/ (cbrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ (* im im) 0)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (+ (* im im) 0)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) 1) (/ (sqrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ (* im im) 0)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) 1) (/ (sqrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (+ (* im im) 0) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ 1 1) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0)) (/ (+ (* im im) 0) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (+ (* im im) 0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) 1) (/ (+ (* im im) 0) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) 1) (/ (- (sqrt (+ (* re re) (* im im))) re) (cbrt (+ (* im im) 0))) (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* im im) 0))) (/ (- (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0)) (/ (+ (* im im) 0) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (+ (* im im) 0) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (* (- (sqrt (+ (* re re) (* im im))) re) (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))) (* (- (sqrt (+ (* re re) (* im im))) re) (- (* im im) 0)) (real->posit16 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (real->posit16 (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (* -1 re) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) (- im re) 0 (* -2 re) 2.539 * * [simplify]: iteration 1: (178 enodes) 2.604 * * [simplify]: iteration 2: (402 enodes) 2.753 * * [simplify]: iteration 3: (1101 enodes) 3.662 * * [simplify]: Extracting #0: cost 91 inf + 0 3.663 * * [simplify]: Extracting #1: cost 366 inf + 291 3.666 * * [simplify]: Extracting #2: cost 674 inf + 5539 3.676 * * [simplify]: Extracting #3: cost 621 inf + 46489 3.724 * * [simplify]: Extracting #4: cost 203 inf + 140851 3.809 * * [simplify]: Extracting #5: cost 25 inf + 193936 3.852 * * [simplify]: Extracting #6: cost 0 inf + 202469 3.909 * [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)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (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 (+ (* (* re (* re re)) (* re (* re re))) (* (* (* im im) (* im im)) (* im im)))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (* (* im im) (* im im)))) (sqrt (* (+ (* im im) (* re re)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (log (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (log (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (exp (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (* (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (- (* im im)) (+ re (- (sqrt (+ (* im im) (* re re))))) (* (/ (cbrt (* im im)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (cbrt (* im im)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (cbrt (* im im)) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (cbrt (* im im)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (* im im)))) (/ (cbrt (* im im)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* (cbrt (* im im)) (cbrt (* im im))) (/ (cbrt (* im im)) (- (sqrt (+ (* im im) (* re re))) re)) (/ (* (cbrt (* im im)) (cbrt (* im im))) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (cbrt (* im im)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (* (cbrt (* im im)) (cbrt (* im im))) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (cbrt (* im im)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* (cbrt (* im im)) (cbrt (* im im))) (/ (cbrt (* im im)) (- (sqrt (+ (* im im) (* re re))) re)) (/ (/ (fabs im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (fabs im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (fabs im) (/ (fabs im) (- (sqrt (+ (* im im) (* re re))) re)) (/ (fabs im) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (fabs im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (fabs im) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (fabs im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (fabs im) (/ (fabs im) (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (* (cbrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (* im im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) 1 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ 1 (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (* im im) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) 1 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (/ 1 (- (sqrt (+ (* im im) (* re re))) re)) (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (/ (* im im) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (* im im) (/ (* im im) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (/ (* im im) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re))) (* im im) (/ (- (sqrt (+ (* im im) (* re re))) re) (cbrt (* im im))) (/ (- (sqrt (+ (* im im) (* re re))) re) (fabs im)) (/ (- (sqrt (+ (* im im) (* re re))) re) (* im im)) (/ (* im im) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re))) (/ (* im im) (* im im)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (* im im) (* im im))) (* (* im im) (- (sqrt (+ (* im im) (* re re))) re)) (real->posit16 (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (log (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (exp (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0) (sqrt (/ (* im im) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re re))) re)))) (real->posit16 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* im im) (* re 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)) (* (- (sqrt (+ (* im im) (* re re))) re) (* (- (sqrt (+ (* im im) (* re re))) re) (- (sqrt (+ (* im im) (* re re))) re))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* (* re re) re)) (+ (* re re) (* (+ (sqrt (+ (* im im) (* re re))) re) (sqrt (+ (* im im) (* re re))))) (- re) (* im im) (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (+ (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)) (- (sqrt (+ (* im im) (* re re))) re) (- re) (real->posit16 (- (sqrt (+ (* im im) (* re re))) re)) im re (- re) (* re 2) (+ re im) 0 (* +nan.0 (+ (/ (- (sqrt 2.0)) (/ (sqrt 2) (* im im))) (* (* (sqrt 2) (sqrt 2.0)) (- re (* re re))))) (+ (* (- (sqrt 2.0) (/ re (/ im (sqrt 2.0)))) +nan.0) (/ (* (- +nan.0) (/ re (/ im (sqrt 2.0)))) im)) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))) (- im re) 0 (* re -2) 3.930 * * * [progress]: adding candidates to table 5.176 * * [progress]: iteration 3 / 4 5.176 * * * [progress]: picking best candidate 5.192 * * * * [pick]: Picked # 5.192 * * * [progress]: localizing error 5.220 * * * [progress]: generating rewritten candidates 5.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 5.228 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 5.234 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 5.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.331 * * * [progress]: generating series expansions 5.331 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 5.332 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im im))) into (* (sqrt 2.0) im) 5.332 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 5.332 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.332 * [taylor]: Taking taylor expansion of 2.0 in im 5.332 * [backup-simplify]: Simplify 2.0 into 2.0 5.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.334 * [taylor]: Taking taylor expansion of im in im 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify 1 into 1 5.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.335 * [taylor]: Taking taylor expansion of 2.0 in im 5.335 * [backup-simplify]: Simplify 2.0 into 2.0 5.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.336 * [taylor]: Taking taylor expansion of im in im 5.336 * [backup-simplify]: Simplify 0 into 0 5.336 * [backup-simplify]: Simplify 1 into 1 5.337 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 5.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.341 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.343 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 5.343 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.346 * [backup-simplify]: Simplify 0 into 0 5.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 5.351 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.353 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.355 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 5.355 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) into (/ (sqrt 2.0) im) 5.355 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 5.355 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.355 * [taylor]: Taking taylor expansion of 2.0 in im 5.355 * [backup-simplify]: Simplify 2.0 into 2.0 5.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.356 * [taylor]: Taking taylor expansion of im in im 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 1 into 1 5.357 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.357 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.357 * [taylor]: Taking taylor expansion of 2.0 in im 5.357 * [backup-simplify]: Simplify 2.0 into 2.0 5.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.359 * [taylor]: Taking taylor expansion of im in im 5.359 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.364 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 5.369 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) into (/ (sqrt 2.0) im) 5.369 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 5.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.369 * [taylor]: Taking taylor expansion of 2.0 in im 5.369 * [backup-simplify]: Simplify 2.0 into 2.0 5.370 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.370 * [taylor]: Taking taylor expansion of im in im 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.371 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.371 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.371 * [taylor]: Taking taylor expansion of 2.0 in im 5.371 * [backup-simplify]: Simplify 2.0 into 2.0 5.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.372 * [taylor]: Taking taylor expansion of im in im 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.372 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify 0 into 0 5.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify 0 into 0 5.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.379 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 5.381 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 5.381 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.381 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.381 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.381 * [taylor]: Taking taylor expansion of im in im 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify 1 into 1 5.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.382 * [taylor]: Taking taylor expansion of re in im 5.382 * [backup-simplify]: Simplify re into re 5.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.382 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.382 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.382 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.382 * [backup-simplify]: Simplify (+ 0 0) into 0 5.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.382 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.382 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.382 * [taylor]: Taking taylor expansion of im in re 5.382 * [backup-simplify]: Simplify im into im 5.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.382 * [taylor]: Taking taylor expansion of re in re 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify 1 into 1 5.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.382 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.382 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.383 * [backup-simplify]: Simplify (+ 0 0) into 0 5.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.383 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.383 * [taylor]: Taking taylor expansion of im in re 5.383 * [backup-simplify]: Simplify im into im 5.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.383 * [taylor]: Taking taylor expansion of re in re 5.383 * [backup-simplify]: Simplify 0 into 0 5.383 * [backup-simplify]: Simplify 1 into 1 5.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.383 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.383 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.383 * [backup-simplify]: Simplify (+ 0 0) into 0 5.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.384 * [taylor]: Taking taylor expansion of im in im 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 1 into 1 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [taylor]: Taking taylor expansion of 0 in im 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 1 into 1 5.384 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.384 * [backup-simplify]: Simplify (* 1 1) into 1 5.385 * [backup-simplify]: Simplify (+ 0 1) into 1 5.385 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.385 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.385 * [taylor]: Taking taylor expansion of 1/2 in im 5.385 * [backup-simplify]: Simplify 1/2 into 1/2 5.385 * [taylor]: Taking taylor expansion of im in im 5.385 * [backup-simplify]: Simplify 0 into 0 5.385 * [backup-simplify]: Simplify 1 into 1 5.386 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.386 * [backup-simplify]: Simplify 0 into 0 5.387 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.387 * [backup-simplify]: Simplify (+ 0 0) into 0 5.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.387 * [taylor]: Taking taylor expansion of 0 in im 5.387 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify 0 into 0 5.388 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.388 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.388 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.389 * [taylor]: Taking taylor expansion of re in im 5.389 * [backup-simplify]: Simplify re into re 5.389 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.389 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.389 * [taylor]: Taking taylor expansion of im in im 5.389 * [backup-simplify]: Simplify 0 into 0 5.389 * [backup-simplify]: Simplify 1 into 1 5.389 * [backup-simplify]: Simplify (* 1 1) into 1 5.389 * [backup-simplify]: Simplify (/ 1 1) into 1 5.390 * [backup-simplify]: Simplify (+ 0 1) into 1 5.390 * [backup-simplify]: Simplify (sqrt 1) into 1 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.391 * [backup-simplify]: Simplify (+ 0 0) into 0 5.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.391 * [taylor]: Taking taylor expansion of re in re 5.391 * [backup-simplify]: Simplify 0 into 0 5.391 * [backup-simplify]: Simplify 1 into 1 5.392 * [backup-simplify]: Simplify (* 1 1) into 1 5.392 * [backup-simplify]: Simplify (/ 1 1) into 1 5.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.392 * [taylor]: Taking taylor expansion of im in re 5.392 * [backup-simplify]: Simplify im into im 5.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.393 * [backup-simplify]: Simplify (+ 1 0) into 1 5.393 * [backup-simplify]: Simplify (sqrt 1) into 1 5.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.395 * [backup-simplify]: Simplify (+ 0 0) into 0 5.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.396 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.396 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.396 * [taylor]: Taking taylor expansion of re in re 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (* 1 1) into 1 5.396 * [backup-simplify]: Simplify (/ 1 1) into 1 5.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.397 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.397 * [taylor]: Taking taylor expansion of im in re 5.397 * [backup-simplify]: Simplify im into im 5.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.397 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.397 * [backup-simplify]: Simplify (+ 1 0) into 1 5.398 * [backup-simplify]: Simplify (sqrt 1) into 1 5.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.399 * [backup-simplify]: Simplify (+ 0 0) into 0 5.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.400 * [taylor]: Taking taylor expansion of 1 in im 5.400 * [backup-simplify]: Simplify 1 into 1 5.400 * [taylor]: Taking taylor expansion of 0 in im 5.400 * [backup-simplify]: Simplify 0 into 0 5.400 * [backup-simplify]: Simplify 1 into 1 5.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.404 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.404 * [taylor]: Taking taylor expansion of 1/2 in im 5.404 * [backup-simplify]: Simplify 1/2 into 1/2 5.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.404 * [taylor]: Taking taylor expansion of im in im 5.404 * [backup-simplify]: Simplify 0 into 0 5.404 * [backup-simplify]: Simplify 1 into 1 5.404 * [backup-simplify]: Simplify (* 1 1) into 1 5.405 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 0 into 0 5.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.408 * [backup-simplify]: Simplify (+ 0 0) into 0 5.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.408 * [taylor]: Taking taylor expansion of 0 in im 5.408 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.410 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.410 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.410 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.410 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.410 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.410 * [taylor]: Taking taylor expansion of re in im 5.410 * [backup-simplify]: Simplify re into re 5.410 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.410 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.410 * [taylor]: Taking taylor expansion of im in im 5.410 * [backup-simplify]: Simplify 0 into 0 5.410 * [backup-simplify]: Simplify 1 into 1 5.410 * [backup-simplify]: Simplify (* 1 1) into 1 5.411 * [backup-simplify]: Simplify (/ 1 1) into 1 5.411 * [backup-simplify]: Simplify (+ 0 1) into 1 5.411 * [backup-simplify]: Simplify (sqrt 1) into 1 5.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (+ 0 0) into 0 5.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.413 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.413 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.413 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.413 * [taylor]: Taking taylor expansion of re in re 5.413 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify 1 into 1 5.413 * [backup-simplify]: Simplify (* 1 1) into 1 5.413 * [backup-simplify]: Simplify (/ 1 1) into 1 5.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.414 * [taylor]: Taking taylor expansion of im in re 5.414 * [backup-simplify]: Simplify im into im 5.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.414 * [backup-simplify]: Simplify (+ 1 0) into 1 5.414 * [backup-simplify]: Simplify (sqrt 1) into 1 5.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.415 * [backup-simplify]: Simplify (+ 0 0) into 0 5.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.416 * [taylor]: Taking taylor expansion of re in re 5.416 * [backup-simplify]: Simplify 0 into 0 5.416 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (* 1 1) into 1 5.416 * [backup-simplify]: Simplify (/ 1 1) into 1 5.416 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.416 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.416 * [taylor]: Taking taylor expansion of im in re 5.416 * [backup-simplify]: Simplify im into im 5.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.417 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.417 * [backup-simplify]: Simplify (+ 1 0) into 1 5.417 * [backup-simplify]: Simplify (sqrt 1) into 1 5.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.418 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.419 * [taylor]: Taking taylor expansion of 1 in im 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [taylor]: Taking taylor expansion of 0 in im 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.420 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.421 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.421 * [taylor]: Taking taylor expansion of 1/2 in im 5.421 * [backup-simplify]: Simplify 1/2 into 1/2 5.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.421 * [taylor]: Taking taylor expansion of im in im 5.421 * [backup-simplify]: Simplify 0 into 0 5.421 * [backup-simplify]: Simplify 1 into 1 5.421 * [backup-simplify]: Simplify (* 1 1) into 1 5.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.424 * [backup-simplify]: Simplify (+ 0 0) into 0 5.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.425 * [taylor]: Taking taylor expansion of 0 in im 5.425 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.426 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 5.426 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 5.426 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 5.426 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 5.426 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.426 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.426 * [taylor]: Taking taylor expansion of im in im 5.426 * [backup-simplify]: Simplify 0 into 0 5.426 * [backup-simplify]: Simplify 1 into 1 5.426 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.426 * [taylor]: Taking taylor expansion of re in im 5.426 * [backup-simplify]: Simplify re into re 5.426 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.426 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.427 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.427 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.427 * [backup-simplify]: Simplify (+ 0 0) into 0 5.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.427 * [taylor]: Taking taylor expansion of re in im 5.427 * [backup-simplify]: Simplify re into re 5.427 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.427 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.427 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.427 * [taylor]: Taking taylor expansion of im in re 5.427 * [backup-simplify]: Simplify im into im 5.427 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.427 * [taylor]: Taking taylor expansion of re in re 5.427 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify 1 into 1 5.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.427 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.427 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.427 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.428 * [taylor]: Taking taylor expansion of re in re 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.428 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.428 * [taylor]: Taking taylor expansion of im in re 5.428 * [backup-simplify]: Simplify im into im 5.428 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.428 * [taylor]: Taking taylor expansion of re in re 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.428 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.428 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.428 * [backup-simplify]: Simplify (+ 0 0) into 0 5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.428 * [taylor]: Taking taylor expansion of re in re 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify (- 0) into 0 5.429 * [backup-simplify]: Simplify (+ im 0) into im 5.429 * [taylor]: Taking taylor expansion of im in im 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify 1 into 1 5.429 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (- 1) into -1 5.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.429 * [taylor]: Taking taylor expansion of -1 in im 5.429 * [backup-simplify]: Simplify -1 into -1 5.429 * [backup-simplify]: Simplify -1 into -1 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.430 * [backup-simplify]: Simplify (* 1 1) into 1 5.430 * [backup-simplify]: Simplify (+ 0 1) into 1 5.431 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.431 * [backup-simplify]: Simplify (- 0) into 0 5.431 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.431 * [taylor]: Taking taylor expansion of 1/2 in im 5.431 * [backup-simplify]: Simplify 1/2 into 1/2 5.431 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.431 * [taylor]: Taking taylor expansion of im in im 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify 1 into 1 5.432 * [backup-simplify]: Simplify (/ 1 1) into 1 5.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.432 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.434 * [backup-simplify]: Simplify (+ 0 0) into 0 5.434 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.434 * [backup-simplify]: Simplify (- 0) into 0 5.434 * [backup-simplify]: Simplify (+ 0 0) into 0 5.434 * [taylor]: Taking taylor expansion of 0 in im 5.434 * [backup-simplify]: Simplify 0 into 0 5.434 * [backup-simplify]: Simplify 0 into 0 5.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 5.436 * [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)) 5.436 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 5.436 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.436 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.436 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.436 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.436 * [taylor]: Taking taylor expansion of re in im 5.436 * [backup-simplify]: Simplify re into re 5.436 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.436 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.436 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.436 * [taylor]: Taking taylor expansion of im in im 5.436 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify 1 into 1 5.436 * [backup-simplify]: Simplify (* 1 1) into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.437 * [backup-simplify]: Simplify (+ 0 1) into 1 5.437 * [backup-simplify]: Simplify (sqrt 1) into 1 5.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.439 * [backup-simplify]: Simplify (+ 0 0) into 0 5.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.440 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.440 * [taylor]: Taking taylor expansion of re in im 5.440 * [backup-simplify]: Simplify re into re 5.440 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.440 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.440 * [taylor]: Taking taylor expansion of re in re 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (* 1 1) into 1 5.441 * [backup-simplify]: Simplify (/ 1 1) into 1 5.441 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.441 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.441 * [taylor]: Taking taylor expansion of im in re 5.441 * [backup-simplify]: Simplify im into im 5.441 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.441 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.442 * [backup-simplify]: Simplify (+ 1 0) into 1 5.442 * [backup-simplify]: Simplify (sqrt 1) into 1 5.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.444 * [backup-simplify]: Simplify (+ 0 0) into 0 5.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.445 * [taylor]: Taking taylor expansion of re in re 5.445 * [backup-simplify]: Simplify 0 into 0 5.445 * [backup-simplify]: Simplify 1 into 1 5.446 * [backup-simplify]: Simplify (/ 1 1) into 1 5.446 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 5.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.446 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.446 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.447 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.447 * [taylor]: Taking taylor expansion of im in re 5.447 * [backup-simplify]: Simplify im into im 5.447 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.447 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.447 * [backup-simplify]: Simplify (+ 1 0) into 1 5.448 * [backup-simplify]: Simplify (sqrt 1) into 1 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 (/ 0 (* 2 (sqrt 1))) into 0 5.450 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.450 * [taylor]: Taking taylor expansion of re in re 5.450 * [backup-simplify]: Simplify 0 into 0 5.450 * [backup-simplify]: Simplify 1 into 1 5.451 * [backup-simplify]: Simplify (/ 1 1) into 1 5.451 * [backup-simplify]: Simplify (- 1) into -1 5.452 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.452 * [taylor]: Taking taylor expansion of 0 in im 5.452 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.453 * [backup-simplify]: Simplify (- 0) into 0 5.453 * [backup-simplify]: Simplify (+ 0 0) into 0 5.453 * [taylor]: Taking taylor expansion of 0 in im 5.453 * [backup-simplify]: Simplify 0 into 0 5.453 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.456 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.457 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (- 0) into 0 5.459 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.459 * [taylor]: Taking taylor expansion of 1/2 in im 5.459 * [backup-simplify]: Simplify 1/2 into 1/2 5.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.459 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.459 * [taylor]: Taking taylor expansion of im in im 5.459 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify 1 into 1 5.459 * [backup-simplify]: Simplify (* 1 1) into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.462 * [backup-simplify]: Simplify 0 into 0 5.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.465 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.465 * [backup-simplify]: Simplify (+ 0 0) into 0 5.466 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- 0) into 0 5.472 * [backup-simplify]: Simplify (+ 0 0) into 0 5.472 * [taylor]: Taking taylor expansion of 0 in im 5.472 * [backup-simplify]: Simplify 0 into 0 5.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [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))))) 5.476 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 5.476 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.476 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.476 * [taylor]: Taking taylor expansion of re in im 5.476 * [backup-simplify]: Simplify re into re 5.476 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.476 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.476 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.476 * [taylor]: Taking taylor expansion of re in im 5.476 * [backup-simplify]: Simplify re into re 5.476 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.476 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.476 * [taylor]: Taking taylor expansion of im in im 5.476 * [backup-simplify]: Simplify 0 into 0 5.476 * [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 (sqrt 1) into 1 5.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.480 * [backup-simplify]: Simplify (+ 0 0) into 0 5.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.481 * [taylor]: Taking taylor expansion of re in re 5.481 * [backup-simplify]: Simplify 0 into 0 5.481 * [backup-simplify]: Simplify 1 into 1 5.481 * [backup-simplify]: Simplify (/ 1 1) into 1 5.481 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.482 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.482 * [taylor]: Taking taylor expansion of re in re 5.482 * [backup-simplify]: Simplify 0 into 0 5.482 * [backup-simplify]: Simplify 1 into 1 5.482 * [backup-simplify]: Simplify (* 1 1) into 1 5.482 * [backup-simplify]: Simplify (/ 1 1) into 1 5.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.483 * [taylor]: Taking taylor expansion of im in re 5.483 * [backup-simplify]: Simplify im into im 5.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.483 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.483 * [backup-simplify]: Simplify (+ 1 0) into 1 5.484 * [backup-simplify]: Simplify (sqrt 1) into 1 5.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.485 * [backup-simplify]: Simplify (+ 0 0) into 0 5.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.486 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.486 * [taylor]: Taking taylor expansion of re in re 5.486 * [backup-simplify]: Simplify 0 into 0 5.486 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (/ 1 1) into 1 5.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.487 * [taylor]: Taking taylor expansion of re in re 5.487 * [backup-simplify]: Simplify 0 into 0 5.487 * [backup-simplify]: Simplify 1 into 1 5.487 * [backup-simplify]: Simplify (* 1 1) into 1 5.488 * [backup-simplify]: Simplify (/ 1 1) into 1 5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.488 * [taylor]: Taking taylor expansion of im in re 5.488 * [backup-simplify]: Simplify im into im 5.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.489 * [backup-simplify]: Simplify (+ 1 0) into 1 5.489 * [backup-simplify]: Simplify (sqrt 1) into 1 5.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ 0 0) into 0 5.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.492 * [backup-simplify]: Simplify (+ 1 1) into 2 5.492 * [taylor]: Taking taylor expansion of 2 in im 5.492 * [backup-simplify]: Simplify 2 into 2 5.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.494 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [taylor]: Taking taylor expansion of 0 in im 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 2 into 2 5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 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 5.497 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.499 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.499 * [taylor]: Taking taylor expansion of 1/2 in im 5.499 * [backup-simplify]: Simplify 1/2 into 1/2 5.499 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.499 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.499 * [taylor]: Taking taylor expansion of im in im 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 1 into 1 5.499 * [backup-simplify]: Simplify (* 1 1) into 1 5.500 * [backup-simplify]: Simplify (/ 1 1) into 1 5.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.502 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.506 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.506 * [backup-simplify]: Simplify (+ 0 0) into 0 5.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.507 * [backup-simplify]: Simplify (+ 0 0) into 0 5.507 * [taylor]: Taking taylor expansion of 0 in im 5.507 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 5.511 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.511 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 5.511 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 5.511 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 5.511 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 5.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.511 * [taylor]: Taking taylor expansion of 2.0 in re 5.511 * [backup-simplify]: Simplify 2.0 into 2.0 5.512 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.512 * [taylor]: Taking taylor expansion of im in re 5.512 * [backup-simplify]: Simplify im into im 5.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 5.513 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 5.513 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 5.513 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.513 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.513 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.513 * [taylor]: Taking taylor expansion of im in re 5.513 * [backup-simplify]: Simplify im into im 5.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 (* im im) into (pow im 2) 5.513 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.513 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.514 * [backup-simplify]: Simplify (+ 0 0) into 0 5.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.514 * [taylor]: Taking taylor expansion of re in re 5.514 * [backup-simplify]: Simplify 0 into 0 5.514 * [backup-simplify]: Simplify 1 into 1 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.514 * [backup-simplify]: Simplify (+ im 0) into im 5.514 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.514 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 5.515 * [backup-simplify]: Simplify (- 1) into -1 5.515 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 5.516 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 5.516 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 5.516 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.516 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.516 * [taylor]: Taking taylor expansion of 2.0 in im 5.516 * [backup-simplify]: Simplify 2.0 into 2.0 5.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.517 * [taylor]: Taking taylor expansion of im in im 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 5.517 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 5.517 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 5.517 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.517 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.517 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.517 * [taylor]: Taking taylor expansion of im in im 5.517 * [backup-simplify]: Simplify 0 into 0 5.517 * [backup-simplify]: Simplify 1 into 1 5.517 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.517 * [taylor]: Taking taylor expansion of re in im 5.517 * [backup-simplify]: Simplify re into re 5.518 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.518 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.518 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.518 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.518 * [backup-simplify]: Simplify (+ 0 0) into 0 5.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.518 * [taylor]: Taking taylor expansion of re in im 5.518 * [backup-simplify]: Simplify re into re 5.518 * [backup-simplify]: Simplify (- re) into (- re) 5.518 * [backup-simplify]: Simplify (+ re (- re)) into 0 5.519 * [backup-simplify]: Simplify (- 0) into 0 5.519 * [backup-simplify]: Simplify (+ 0 0) into 0 5.520 * [backup-simplify]: Simplify (* 1 1) into 1 5.520 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.521 * [backup-simplify]: Simplify (+ 1 0) into 1 5.521 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 5.522 * [backup-simplify]: Simplify (- 0) into 0 5.522 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 5.522 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 5.522 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.524 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.524 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 5.524 * [backup-simplify]: Simplify (- 0) into 0 5.525 * [backup-simplify]: Simplify (+ 0 0) into 0 5.525 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 5.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 5.525 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 5.525 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 5.525 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.525 * [taylor]: Taking taylor expansion of 2.0 in im 5.525 * [backup-simplify]: Simplify 2.0 into 2.0 5.526 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.527 * [taylor]: Taking taylor expansion of im in im 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 5.527 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 5.527 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 5.527 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.527 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.527 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.527 * [taylor]: Taking taylor expansion of im in im 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 1 into 1 5.527 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.527 * [taylor]: Taking taylor expansion of re in im 5.527 * [backup-simplify]: Simplify re into re 5.527 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.527 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.527 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.527 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.528 * [backup-simplify]: Simplify (+ 0 0) into 0 5.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.528 * [taylor]: Taking taylor expansion of re in im 5.528 * [backup-simplify]: Simplify re into re 5.528 * [backup-simplify]: Simplify (- re) into (- re) 5.528 * [backup-simplify]: Simplify (+ re (- re)) into 0 5.528 * [backup-simplify]: Simplify (- 0) into 0 5.529 * [backup-simplify]: Simplify (+ 0 0) into 0 5.529 * [backup-simplify]: Simplify (* 1 1) into 1 5.529 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.530 * [backup-simplify]: Simplify (+ 1 0) into 1 5.531 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 5.531 * [backup-simplify]: Simplify (- 0) into 0 5.531 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 5.531 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 5.531 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 5.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.533 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 5.533 * [backup-simplify]: Simplify (+ 0 0) into 0 5.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 5.534 * [backup-simplify]: Simplify (- 0) into 0 5.534 * [backup-simplify]: Simplify (+ 0 0) into 0 5.534 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 5.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 5.535 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.536 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 5.536 * [taylor]: Taking taylor expansion of 0 in re 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify 0 into 0 5.538 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 5.539 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 5.539 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 5.539 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 5.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.539 * [taylor]: Taking taylor expansion of 2.0 in re 5.539 * [backup-simplify]: Simplify 2.0 into 2.0 5.540 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.541 * [taylor]: Taking taylor expansion of (sqrt 2) in re 5.541 * [taylor]: Taking taylor expansion of 2 in re 5.541 * [backup-simplify]: Simplify 2 into 2 5.541 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 5.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 5.542 * [taylor]: Taking taylor expansion of (sqrt re) in re 5.542 * [taylor]: Taking taylor expansion of re in re 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (sqrt 0) into 0 5.544 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.545 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 5.546 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.546 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.548 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 5.549 * [backup-simplify]: Simplify (+ 0 0) into 0 5.550 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 5.550 * [backup-simplify]: Simplify (- 0) into 0 5.550 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 5.551 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 5.552 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 5.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.554 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 5.555 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 5.555 * [taylor]: Taking taylor expansion of 0 in re 5.555 * [backup-simplify]: Simplify 0 into 0 5.555 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 5.558 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 5.560 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 5.560 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.562 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 5.562 * [backup-simplify]: Simplify (+ 0 0) into 0 5.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 5.562 * [backup-simplify]: Simplify (- 0) into 0 5.563 * [backup-simplify]: Simplify (+ 0 0) into 0 5.563 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 5.564 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 5.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.565 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 5.567 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 5.567 * [taylor]: Taking taylor expansion of 1/4 in re 5.567 * [backup-simplify]: Simplify 1/4 into 1/4 5.567 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 5.567 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 5.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.567 * [taylor]: Taking taylor expansion of 2.0 in re 5.567 * [backup-simplify]: Simplify 2.0 into 2.0 5.568 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.568 * [taylor]: Taking taylor expansion of (sqrt 2) in re 5.568 * [taylor]: Taking taylor expansion of 2 in re 5.568 * [backup-simplify]: Simplify 2 into 2 5.568 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 5.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 5.570 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 5.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 5.570 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 5.570 * [taylor]: Taking taylor expansion of (pow re 3) in re 5.570 * [taylor]: Taking taylor expansion of re in re 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 1 into 1 5.570 * [backup-simplify]: Simplify (* 1 1) into 1 5.570 * [backup-simplify]: Simplify (* 1 1) into 1 5.570 * [backup-simplify]: Simplify (/ 1 1) into 1 5.571 * [backup-simplify]: Simplify (sqrt 0) into 0 5.571 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.575 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.575 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 5.576 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.577 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 5.577 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 5.580 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 5.582 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 5.583 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 5.589 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 5.593 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 5.593 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 5.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.602 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 5.607 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 5.610 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 5.617 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 5.618 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 im) (/ 1 im)))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 5.618 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 5.618 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 5.618 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 5.618 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.618 * [taylor]: Taking taylor expansion of 2.0 in re 5.618 * [backup-simplify]: Simplify 2.0 into 2.0 5.618 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.618 * [taylor]: Taking taylor expansion of im in re 5.618 * [backup-simplify]: Simplify im into im 5.619 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 5.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 5.619 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 5.619 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 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 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.619 * [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)) 5.620 * [backup-simplify]: Simplify (+ 1 0) into 1 5.620 * [backup-simplify]: Simplify (sqrt 1) into 1 5.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (+ 0 0) into 0 5.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.622 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.622 * [taylor]: Taking taylor expansion of re in re 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.622 * [backup-simplify]: Simplify (/ 1 1) into 1 5.622 * [backup-simplify]: Simplify (- 1) into -1 5.623 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (- 0) into 0 5.624 * [backup-simplify]: Simplify (+ 0 0) into 0 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 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.626 * [backup-simplify]: Simplify (- 0) into 0 5.627 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.627 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 5.627 * [backup-simplify]: Simplify (sqrt 0) into 0 5.627 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 5.627 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 5.627 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.627 * [taylor]: Taking taylor expansion of 2.0 in im 5.627 * [backup-simplify]: Simplify 2.0 into 2.0 5.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.628 * [taylor]: Taking taylor expansion of im in im 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 5.629 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 5.629 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.629 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.629 * [taylor]: Taking taylor expansion of re in im 5.629 * [backup-simplify]: Simplify re into re 5.629 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.629 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.629 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.629 * [taylor]: Taking taylor expansion of im in im 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (* 1 1) into 1 5.630 * [backup-simplify]: Simplify (/ 1 1) into 1 5.630 * [backup-simplify]: Simplify (+ 0 1) into 1 5.630 * [backup-simplify]: Simplify (sqrt 1) into 1 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.632 * [taylor]: Taking taylor expansion of re in im 5.632 * [backup-simplify]: Simplify re into re 5.632 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.632 * [backup-simplify]: Simplify (+ 1 0) into 1 5.632 * [backup-simplify]: Simplify (/ 1 1) into 1 5.633 * [backup-simplify]: Simplify (sqrt 0) into 0 5.633 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.634 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 5.634 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.634 * [taylor]: Taking taylor expansion of 2.0 in im 5.634 * [backup-simplify]: Simplify 2.0 into 2.0 5.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.634 * [taylor]: Taking taylor expansion of im in im 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 1 into 1 5.635 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 5.635 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 5.635 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 5.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.635 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.635 * [taylor]: Taking taylor expansion of re in im 5.635 * [backup-simplify]: Simplify re into re 5.635 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.635 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.635 * [taylor]: Taking taylor expansion of im in im 5.635 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (* 1 1) into 1 5.636 * [backup-simplify]: Simplify (/ 1 1) into 1 5.636 * [backup-simplify]: Simplify (+ 0 1) into 1 5.636 * [backup-simplify]: Simplify (sqrt 1) into 1 5.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.638 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.638 * [taylor]: Taking taylor expansion of re in im 5.638 * [backup-simplify]: Simplify re into re 5.638 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.638 * [backup-simplify]: Simplify (+ 1 0) into 1 5.639 * [backup-simplify]: Simplify (/ 1 1) into 1 5.639 * [backup-simplify]: Simplify (sqrt 0) into 0 5.640 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.640 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.640 * [taylor]: Taking taylor expansion of 0 in re 5.640 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.642 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 5.642 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.642 * [taylor]: Taking taylor expansion of +nan.0 in re 5.642 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.642 * [taylor]: Taking taylor expansion of 2.0 in re 5.642 * [backup-simplify]: Simplify 2.0 into 2.0 5.642 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 5.643 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 5.644 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 5.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 5.647 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.647 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.647 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.647 * [taylor]: Taking taylor expansion of +nan.0 in re 5.647 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.647 * [taylor]: Taking taylor expansion of 2.0 in re 5.647 * [backup-simplify]: Simplify 2.0 into 2.0 5.648 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.648 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.648 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.648 * [taylor]: Taking taylor expansion of +nan.0 in re 5.648 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.648 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.648 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.648 * [taylor]: Taking taylor expansion of 2.0 in re 5.648 * [backup-simplify]: Simplify 2.0 into 2.0 5.649 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.650 * [taylor]: Taking taylor expansion of re in re 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.651 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.653 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.655 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.658 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.659 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.660 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.661 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.663 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.663 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.665 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.667 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.667 * [backup-simplify]: Simplify (- 0) into 0 5.667 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 5.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.668 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 5.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.672 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 5.672 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 5.672 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 5.672 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.672 * [taylor]: Taking taylor expansion of +nan.0 in re 5.672 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.672 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.672 * [taylor]: Taking taylor expansion of 2.0 in re 5.673 * [backup-simplify]: Simplify 2.0 into 2.0 5.673 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.674 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 5.674 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 5.674 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.674 * [taylor]: Taking taylor expansion of +nan.0 in re 5.674 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.674 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.674 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.674 * [taylor]: Taking taylor expansion of 2.0 in re 5.674 * [backup-simplify]: Simplify 2.0 into 2.0 5.674 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.675 * [taylor]: Taking taylor expansion of re in re 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 5.676 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 5.676 * [taylor]: Taking taylor expansion of +nan.0 in re 5.676 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.676 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 5.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.676 * [taylor]: Taking taylor expansion of 2.0 in re 5.676 * [backup-simplify]: Simplify 2.0 into 2.0 5.676 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.677 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.677 * [taylor]: Taking taylor expansion of re in re 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [backup-simplify]: Simplify (* 1 1) into 1 5.678 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.679 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.681 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.682 * [backup-simplify]: Simplify (- 0) into 0 5.683 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.685 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.687 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.689 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.691 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.696 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 5.697 * [backup-simplify]: Simplify (/ (sqrt (* 2.0 (* (/ 1 (- im)) (/ 1 (- im))))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 5.697 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 5.697 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 5.697 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 5.697 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.697 * [taylor]: Taking taylor expansion of 2.0 in re 5.697 * [backup-simplify]: Simplify 2.0 into 2.0 5.697 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.698 * [taylor]: Taking taylor expansion of im in re 5.698 * [backup-simplify]: Simplify im into im 5.699 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 5.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 5.699 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 5.699 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 5.699 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.699 * [taylor]: Taking taylor expansion of re in re 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.699 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.699 * [taylor]: Taking taylor expansion of re in re 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (* 1 1) into 1 5.701 * [backup-simplify]: Simplify (/ 1 1) into 1 5.701 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.701 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.701 * [taylor]: Taking taylor expansion of im in re 5.701 * [backup-simplify]: Simplify im into im 5.701 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.701 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.702 * [backup-simplify]: Simplify (+ 1 0) into 1 5.702 * [backup-simplify]: Simplify (sqrt 1) into 1 5.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (+ 0 0) into 0 5.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.707 * [backup-simplify]: Simplify (+ 1 1) into 2 5.707 * [backup-simplify]: Simplify (/ 1 2) into 1/2 5.708 * [backup-simplify]: Simplify (sqrt 0) into 0 5.710 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 5.710 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 5.710 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.710 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.710 * [taylor]: Taking taylor expansion of 2.0 in im 5.710 * [backup-simplify]: Simplify 2.0 into 2.0 5.711 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.712 * [taylor]: Taking taylor expansion of im in im 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 1 into 1 5.713 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 5.713 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.714 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.714 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.714 * [taylor]: Taking taylor expansion of re in im 5.714 * [backup-simplify]: Simplify re into re 5.714 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.714 * [taylor]: Taking taylor expansion of re in im 5.714 * [backup-simplify]: Simplify re into re 5.714 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.714 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.714 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.714 * [taylor]: Taking taylor expansion of im in im 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (* 1 1) into 1 5.716 * [backup-simplify]: Simplify (/ 1 1) into 1 5.716 * [backup-simplify]: Simplify (+ 0 1) into 1 5.717 * [backup-simplify]: Simplify (sqrt 1) into 1 5.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.721 * [backup-simplify]: Simplify (+ 0 1) into 1 5.721 * [backup-simplify]: Simplify (/ 1 1) into 1 5.722 * [backup-simplify]: Simplify (sqrt 0) into 0 5.726 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.726 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 5.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 5.726 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.726 * [taylor]: Taking taylor expansion of 2.0 in im 5.727 * [backup-simplify]: Simplify 2.0 into 2.0 5.727 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.728 * [taylor]: Taking taylor expansion of im in im 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 5.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 5.729 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 5.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.729 * [taylor]: Taking taylor expansion of re in im 5.729 * [backup-simplify]: Simplify re into re 5.729 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.729 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.729 * [taylor]: Taking taylor expansion of re in im 5.729 * [backup-simplify]: Simplify re into re 5.729 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.730 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.730 * [taylor]: Taking taylor expansion of im in im 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (* 1 1) into 1 5.731 * [backup-simplify]: Simplify (/ 1 1) into 1 5.731 * [backup-simplify]: Simplify (+ 0 1) into 1 5.732 * [backup-simplify]: Simplify (sqrt 1) into 1 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.735 * [backup-simplify]: Simplify (+ 0 1) into 1 5.735 * [backup-simplify]: Simplify (/ 1 1) into 1 5.735 * [backup-simplify]: Simplify (sqrt 0) into 0 5.737 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.737 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.737 * [taylor]: Taking taylor expansion of 0 in re 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 5.741 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.741 * [taylor]: Taking taylor expansion of +nan.0 in re 5.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.741 * [taylor]: Taking taylor expansion of 2.0 in re 5.741 * [backup-simplify]: Simplify 2.0 into 2.0 5.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.743 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.745 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.746 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 5.748 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 5.749 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.752 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 5.752 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 5.752 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 5.752 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.752 * [taylor]: Taking taylor expansion of +nan.0 in re 5.752 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.752 * [taylor]: Taking taylor expansion of 2.0 in re 5.752 * [backup-simplify]: Simplify 2.0 into 2.0 5.752 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 5.753 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.753 * [taylor]: Taking taylor expansion of +nan.0 in re 5.753 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.753 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.753 * [taylor]: Taking taylor expansion of 2.0 in re 5.753 * [backup-simplify]: Simplify 2.0 into 2.0 5.754 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.755 * [taylor]: Taking taylor expansion of re in re 5.755 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify 1 into 1 5.756 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.757 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.759 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.759 * [backup-simplify]: Simplify (- 0) into 0 5.761 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.763 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.765 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.766 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.766 * [backup-simplify]: Simplify (- 0) into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 5.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 5.769 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 5.770 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 5.770 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 5.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 5.773 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 5.773 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 5.773 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 5.773 * [taylor]: Taking taylor expansion of +nan.0 in re 5.773 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.773 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.773 * [taylor]: Taking taylor expansion of 2.0 in re 5.773 * [backup-simplify]: Simplify 2.0 into 2.0 5.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.774 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 5.774 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 5.774 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 5.774 * [taylor]: Taking taylor expansion of +nan.0 in re 5.774 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.774 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 5.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.774 * [taylor]: Taking taylor expansion of 2.0 in re 5.774 * [backup-simplify]: Simplify 2.0 into 2.0 5.775 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.775 * [taylor]: Taking taylor expansion of re in re 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 1 into 1 5.776 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.776 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 5.776 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 5.776 * [taylor]: Taking taylor expansion of +nan.0 in re 5.776 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 5.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.776 * [taylor]: Taking taylor expansion of 2.0 in re 5.776 * [backup-simplify]: Simplify 2.0 into 2.0 5.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.777 * [taylor]: Taking taylor expansion of re in re 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (* 1 1) into 1 5.777 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.778 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.780 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.783 * [backup-simplify]: Simplify (- 0) into 0 5.783 * [backup-simplify]: Simplify (+ 0 0) into 0 5.783 * [backup-simplify]: Simplify (- 0) into 0 5.784 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.786 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.787 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.790 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 5.790 * * * [progress]: simplifying candidates 5.790 * * * * [progress]: [ 1 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 2 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 3 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 4 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 5 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 6 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 7 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 8 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 9 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 10 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 11 / 122 ] simplifiying candidate # 5.790 * * * * [progress]: [ 12 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 13 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (* im im))))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 5.791 * * * * [progress]: [ 14 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 15 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 16 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 17 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 18 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 19 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 20 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 21 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 22 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 23 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 24 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 25 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 26 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 27 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 28 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 29 / 122 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 5.791 * * * * [progress]: [ 30 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 31 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 32 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 33 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 34 / 122 ] simplifiying candidate # 5.791 * * * * [progress]: [ 35 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 36 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 37 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 38 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 39 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 40 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 41 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 42 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 43 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 44 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 45 / 122 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 5.792 * * * * [progress]: [ 46 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 47 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 48 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 49 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 50 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 51 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 52 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 53 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 54 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 55 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 56 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 57 / 122 ] simplifiying candidate # 5.792 * * * * [progress]: [ 58 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 59 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 60 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 61 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 62 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 63 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 64 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 65 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 66 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 67 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 68 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 69 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 70 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 71 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 72 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 73 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 74 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 75 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 76 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 77 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 78 / 122 ] simplifiying candidate # 5.793 * * * * [progress]: [ 79 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 80 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 81 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 82 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 83 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 84 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 85 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 86 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 87 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 88 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 89 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 90 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 91 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 92 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 93 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 94 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 95 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 96 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 97 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 98 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 99 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 100 / 122 ] simplifiying candidate # 5.794 * * * * [progress]: [ 101 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 102 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 103 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 104 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 105 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 106 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 107 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 108 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 109 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 110 / 122 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 5.795 * * * * [progress]: [ 111 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 112 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 113 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 114 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 115 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 116 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 117 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 118 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 119 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 120 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 121 / 122 ] simplifiying candidate # 5.795 * * * * [progress]: [ 122 / 122 ] simplifiying candidate # 5.797 * [simplify]: Simplifying: (log (sqrt (* 2.0 (* im im)))) (exp (sqrt (* 2.0 (* im im)))) (* (cbrt (sqrt (* 2.0 (* im im)))) (cbrt (sqrt (* 2.0 (* im im))))) (cbrt (sqrt (* 2.0 (* im im)))) (* (* (sqrt (* 2.0 (* im im))) (sqrt (* 2.0 (* im im)))) (sqrt (* 2.0 (* im im)))) (sqrt 2.0) (sqrt (* im im)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im im)))) (sqrt (sqrt (* 2.0 (* im im)))) (real->posit16 (sqrt (* 2.0 (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* 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[simplify]: iteration 1: (199 enodes) 5.860 * * [simplify]: iteration 2: (407 enodes) 6.024 * * [simplify]: iteration 3: (1080 enodes) 6.808 * * [simplify]: Extracting #0: cost 106 inf + 0 6.810 * * [simplify]: Extracting #1: cost 333 inf + 88 6.814 * * [simplify]: Extracting #2: cost 627 inf + 2261 6.821 * * [simplify]: Extracting #3: cost 706 inf + 24205 6.840 * * [simplify]: Extracting #4: cost 417 inf + 75902 6.868 * * [simplify]: Extracting #5: cost 237 inf + 120674 6.922 * * [simplify]: Extracting #6: cost 75 inf + 179803 7.009 * * [simplify]: Extracting #7: cost 5 inf + 209803 7.075 * * [simplify]: Extracting #8: cost 0 inf + 212018 7.153 * [simplify]: Simplified to: (log (sqrt (* (* im im) 2.0))) (exp (sqrt (* (* im im) 2.0))) (* (cbrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (* (* im im) 2.0)))) (cbrt (sqrt (* (* im im) 2.0))) (* (* (* im im) 2.0) (sqrt (* (* im im) 2.0))) (sqrt 2.0) (fabs im) 1/2 1/2 1/2 (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (* (* im im) 2.0))) 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im) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (fabs im) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (fabs im) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* (* im im) 2.0))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (sqrt (sqrt (* (* im im) 2.0))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* (* im im) 2.0))) (/ (sqrt (sqrt (* (* im im) 2.0))) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) (/ (sqrt (* (* im im) 2.0)) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ 1 (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) (/ 1 (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt re)))) 1 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ 1 (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) 1 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ 1 (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (* im im) 2.0))) (/ (sqrt (* (* im im) 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))) (cbrt (sqrt (- (sqrt (+ (* im im) (* re re))) re))))) (/ (sqrt (* (* im im) 2.0)) (fabs (cbrt (- (sqrt (+ (* im im) (* re re))) re)))) (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (* (* im im) 2.0)) (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* im im) (* re re))))))) (sqrt (* (* im im) 2.0)) (/ (sqrt (* (* im im) 2.0)) (sqrt (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (sqrt (* (* im im) 2.0)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (cbrt (sqrt (* (* im im) 2.0)))) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (fabs im)) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (sqrt (* (* im im) 2.0)))) (/ (sqrt (- (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (* im im) 2.0))) (/ (sqrt (* (* im im) 2.0)) (sqrt (- (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))))) (/ (sqrt (* (* im im) 2.0)) (sqrt (+ (* im im) 0))) (real->posit16 (/ (sqrt (* (* im im) 2.0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)))) (* im (sqrt 2.0)) (* im (sqrt 2.0)) (* (- im) (sqrt 2.0)) im re (- re) (- im re) 0 (* -2 re) (* +nan.0 (+ (* (- (/ (sqrt 2.0) (sqrt 2))) (* im im)) (* (* (sqrt 2) (sqrt 2.0)) (- re (* re re))))) (+ (- (* (sqrt 2.0) +nan.0) (/ (* (sqrt 2.0) +nan.0) (/ im re))) (* (/ (- (sqrt 2.0)) (* (/ im re) im)) +nan.0)) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))) 7.180 * * * [progress]: adding candidates to table 8.752 * * [progress]: iteration 4 / 4 8.752 * * * [progress]: picking best candidate 8.783 * * * * [pick]: Picked # 8.783 * * * [progress]: localizing error 8.835 * * * [progress]: generating rewritten candidates 8.835 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 8.841 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 1) 8.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 1) 8.903 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 8.983 * * * [progress]: generating series expansions 8.983 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 8.983 * [backup-simplify]: Simplify (sqrt (* im im)) into im 8.983 * [approximate]: Taking taylor expansion of im in (im) around 0 8.983 * [taylor]: Taking taylor expansion of im in im 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [taylor]: Taking taylor expansion of im in im 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify (* 1 im) into im 8.983 * [backup-simplify]: Simplify (sqrt (* (/ 1 im) (/ 1 im))) into (/ 1 im) 8.983 * [approximate]: Taking taylor expansion of (/ 1 im) in (im) around 0 8.983 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.983 * [taylor]: Taking taylor expansion of im in im 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.984 * [backup-simplify]: Simplify (/ 1 1) into 1 8.984 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.984 * [taylor]: Taking taylor expansion of im in im 8.984 * [backup-simplify]: Simplify 0 into 0 8.984 * [backup-simplify]: Simplify 1 into 1 8.984 * [backup-simplify]: Simplify (/ 1 1) into 1 8.984 * [backup-simplify]: Simplify 1 into 1 8.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.985 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify (* 1 (/ 1 (/ 1 im))) into im 8.988 * [backup-simplify]: Simplify (sqrt (* (/ 1 (- im)) (/ 1 (- im)))) into (/ 1 im) 8.988 * [approximate]: Taking taylor expansion of (/ 1 im) in (im) around 0 8.988 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.988 * [taylor]: Taking taylor expansion of im in im 8.988 * [backup-simplify]: Simplify 0 into 0 8.988 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (/ 1 1) into 1 8.989 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.989 * [taylor]: Taking taylor expansion of im in im 8.989 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify 1 into 1 8.989 * [backup-simplify]: Simplify (/ 1 1) into 1 8.989 * [backup-simplify]: Simplify 1 into 1 8.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.992 * [backup-simplify]: Simplify 0 into 0 8.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify (* 1 (/ 1 (/ 1 (- im)))) into (* -1 im) 8.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 1) 8.993 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.993 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.993 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.993 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.993 * [taylor]: Taking taylor expansion of im in im 8.993 * [backup-simplify]: Simplify 0 into 0 8.993 * [backup-simplify]: Simplify 1 into 1 8.993 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.993 * [taylor]: Taking taylor expansion of re in im 8.993 * [backup-simplify]: Simplify re into re 8.993 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.993 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.993 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.993 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.993 * [backup-simplify]: Simplify (+ 0 0) into 0 8.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.994 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.994 * [taylor]: Taking taylor expansion of im in re 8.994 * [backup-simplify]: Simplify im into im 8.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.994 * [taylor]: Taking taylor expansion of re in re 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.994 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.994 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.994 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.994 * [backup-simplify]: Simplify (+ 0 0) into 0 8.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.994 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.994 * [taylor]: Taking taylor expansion of im in re 8.994 * [backup-simplify]: Simplify im into im 8.994 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.994 * [taylor]: Taking taylor expansion of re in re 8.994 * [backup-simplify]: Simplify 0 into 0 8.994 * [backup-simplify]: Simplify 1 into 1 8.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.994 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.995 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.995 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.995 * [backup-simplify]: Simplify (+ 0 0) into 0 8.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.995 * [taylor]: Taking taylor expansion of im in im 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [taylor]: Taking taylor expansion of 0 in im 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 0 into 0 8.995 * [backup-simplify]: Simplify 1 into 1 8.995 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.996 * [backup-simplify]: Simplify (* 1 1) into 1 8.996 * [backup-simplify]: Simplify (+ 0 1) into 1 8.996 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.996 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.996 * [taylor]: Taking taylor expansion of 1/2 in im 8.997 * [backup-simplify]: Simplify 1/2 into 1/2 8.997 * [taylor]: Taking taylor expansion of im in im 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 1 into 1 8.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.997 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify 0 into 0 8.998 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.999 * [backup-simplify]: Simplify (+ 0 0) into 0 8.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.999 * [taylor]: Taking taylor expansion of 0 in im 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.999 * [backup-simplify]: Simplify 0 into 0 8.999 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.000 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.000 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.000 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.000 * [taylor]: Taking taylor expansion of re in im 9.000 * [backup-simplify]: Simplify re into re 9.000 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.000 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.000 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.000 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.000 * [taylor]: Taking taylor expansion of im in im 9.000 * [backup-simplify]: Simplify 0 into 0 9.000 * [backup-simplify]: Simplify 1 into 1 9.000 * [backup-simplify]: Simplify (* 1 1) into 1 9.001 * [backup-simplify]: Simplify (/ 1 1) into 1 9.001 * [backup-simplify]: Simplify (+ 0 1) into 1 9.001 * [backup-simplify]: Simplify (sqrt 1) into 1 9.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.002 * [backup-simplify]: Simplify (+ 0 0) into 0 9.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.003 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.003 * [taylor]: Taking taylor expansion of re in re 9.003 * [backup-simplify]: Simplify 0 into 0 9.003 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (* 1 1) into 1 9.003 * [backup-simplify]: Simplify (/ 1 1) into 1 9.003 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.003 * [taylor]: Taking taylor expansion of im in re 9.003 * [backup-simplify]: Simplify im into im 9.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.003 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.004 * [backup-simplify]: Simplify (+ 1 0) into 1 9.004 * [backup-simplify]: Simplify (sqrt 1) into 1 9.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.005 * [backup-simplify]: Simplify (+ 0 0) into 0 9.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.006 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.006 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.006 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.006 * [taylor]: Taking taylor expansion of re in re 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (* 1 1) into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.007 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.007 * [taylor]: Taking taylor expansion of im in re 9.007 * [backup-simplify]: Simplify im into im 9.007 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.007 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.007 * [backup-simplify]: Simplify (+ 1 0) into 1 9.007 * [backup-simplify]: Simplify (sqrt 1) into 1 9.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.009 * [taylor]: Taking taylor expansion of 1 in im 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [taylor]: Taking taylor expansion of 0 in im 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.010 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.011 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.011 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.011 * [taylor]: Taking taylor expansion of 1/2 in im 9.011 * [backup-simplify]: Simplify 1/2 into 1/2 9.011 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.011 * [taylor]: Taking taylor expansion of im in im 9.011 * [backup-simplify]: Simplify 0 into 0 9.011 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.012 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify 0 into 0 9.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.014 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.015 * [taylor]: Taking taylor expansion of 0 in im 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.016 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 9.016 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 9.016 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.016 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.016 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.016 * [taylor]: Taking taylor expansion of re in im 9.016 * [backup-simplify]: Simplify re into re 9.016 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.016 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.016 * [taylor]: Taking taylor expansion of im in im 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify 1 into 1 9.017 * [backup-simplify]: Simplify (* 1 1) into 1 9.017 * [backup-simplify]: Simplify (/ 1 1) into 1 9.017 * [backup-simplify]: Simplify (+ 0 1) into 1 9.017 * [backup-simplify]: Simplify (sqrt 1) into 1 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.018 * [backup-simplify]: Simplify (+ 0 0) into 0 9.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.019 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.019 * [taylor]: Taking taylor expansion of re in re 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.019 * [backup-simplify]: Simplify (* 1 1) into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.020 * [taylor]: Taking taylor expansion of im in re 9.020 * [backup-simplify]: Simplify im into im 9.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.020 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.020 * [backup-simplify]: Simplify (+ 1 0) into 1 9.020 * [backup-simplify]: Simplify (sqrt 1) into 1 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (+ 0 0) into 0 9.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.022 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.022 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.022 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.022 * [taylor]: Taking taylor expansion of re in re 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (* 1 1) into 1 9.022 * [backup-simplify]: Simplify (/ 1 1) into 1 9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.022 * [taylor]: Taking taylor expansion of im in re 9.022 * [backup-simplify]: Simplify im into im 9.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.023 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.023 * [backup-simplify]: Simplify (+ 1 0) into 1 9.023 * [backup-simplify]: Simplify (sqrt 1) into 1 9.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.025 * [taylor]: Taking taylor expansion of 1 in im 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [taylor]: Taking taylor expansion of 0 in im 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.026 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.027 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.027 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.027 * [taylor]: Taking taylor expansion of 1/2 in im 9.027 * [backup-simplify]: Simplify 1/2 into 1/2 9.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.027 * [taylor]: Taking taylor expansion of im in im 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify 1 into 1 9.027 * [backup-simplify]: Simplify (* 1 1) into 1 9.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.032 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.033 * [backup-simplify]: Simplify (+ 0 0) into 0 9.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.033 * [taylor]: Taking taylor expansion of 0 in im 9.033 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.034 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.035 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 1) 9.035 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 9.035 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 9.035 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.035 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.035 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.035 * [taylor]: Taking taylor expansion of im in im 9.035 * [backup-simplify]: Simplify 0 into 0 9.035 * [backup-simplify]: Simplify 1 into 1 9.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.035 * [taylor]: Taking taylor expansion of re in im 9.035 * [backup-simplify]: Simplify re into re 9.035 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.035 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.035 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.035 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.035 * [backup-simplify]: Simplify (+ 0 0) into 0 9.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.036 * [taylor]: Taking taylor expansion of re in im 9.036 * [backup-simplify]: Simplify re into re 9.036 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.036 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.036 * [taylor]: Taking taylor expansion of im in re 9.036 * [backup-simplify]: Simplify im into im 9.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.036 * [taylor]: Taking taylor expansion of re in re 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.036 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.036 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.036 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.036 * [backup-simplify]: Simplify (+ 0 0) into 0 9.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.036 * [taylor]: Taking taylor expansion of re in re 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.036 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.036 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.036 * [taylor]: Taking taylor expansion of im in re 9.036 * [backup-simplify]: Simplify im into im 9.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.036 * [taylor]: Taking taylor expansion of re in re 9.036 * [backup-simplify]: Simplify 0 into 0 9.036 * [backup-simplify]: Simplify 1 into 1 9.036 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.037 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.037 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.037 * [backup-simplify]: Simplify (+ 0 0) into 0 9.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.037 * [taylor]: Taking taylor expansion of re in re 9.037 * [backup-simplify]: Simplify 0 into 0 9.037 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify (- 0) into 0 9.038 * [backup-simplify]: Simplify (+ im 0) into im 9.038 * [taylor]: Taking taylor expansion of im in im 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify 1 into 1 9.038 * [backup-simplify]: Simplify 0 into 0 9.038 * [backup-simplify]: Simplify (- 1) into -1 9.039 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.039 * [taylor]: Taking taylor expansion of -1 in im 9.039 * [backup-simplify]: Simplify -1 into -1 9.039 * [backup-simplify]: Simplify -1 into -1 9.039 * [backup-simplify]: Simplify 1 into 1 9.039 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.040 * [backup-simplify]: Simplify (* 1 1) into 1 9.040 * [backup-simplify]: Simplify (+ 0 1) into 1 9.041 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.041 * [backup-simplify]: Simplify (- 0) into 0 9.041 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 9.041 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 9.041 * [taylor]: Taking taylor expansion of 1/2 in im 9.041 * [backup-simplify]: Simplify 1/2 into 1/2 9.041 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.041 * [taylor]: Taking taylor expansion of im in im 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [backup-simplify]: Simplify (/ 1 1) into 1 9.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 0 into 0 9.044 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (+ 0 0) into 0 9.045 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.046 * [backup-simplify]: Simplify (- 0) into 0 9.046 * [backup-simplify]: Simplify (+ 0 0) into 0 9.046 * [taylor]: Taking taylor expansion of 0 in im 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 9.049 * [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)) 9.049 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 9.049 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.049 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.049 * [taylor]: Taking taylor expansion of re in im 9.049 * [backup-simplify]: Simplify re into re 9.049 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.049 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.049 * [taylor]: Taking taylor expansion of im in im 9.049 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify 1 into 1 9.050 * [backup-simplify]: Simplify (* 1 1) into 1 9.050 * [backup-simplify]: Simplify (/ 1 1) into 1 9.050 * [backup-simplify]: Simplify (+ 0 1) into 1 9.051 * [backup-simplify]: Simplify (sqrt 1) into 1 9.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify (+ 0 0) into 0 9.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.053 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.053 * [taylor]: Taking taylor expansion of re in im 9.053 * [backup-simplify]: Simplify re into re 9.053 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.053 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.054 * [taylor]: Taking taylor expansion of re in re 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (* 1 1) into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.054 * [taylor]: Taking taylor expansion of im in re 9.054 * [backup-simplify]: Simplify im into im 9.055 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.055 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.055 * [backup-simplify]: Simplify (+ 1 0) into 1 9.055 * [backup-simplify]: Simplify (sqrt 1) into 1 9.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.057 * [backup-simplify]: Simplify (+ 0 0) into 0 9.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.058 * [taylor]: Taking taylor expansion of re in re 9.058 * [backup-simplify]: Simplify 0 into 0 9.058 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (/ 1 1) into 1 9.059 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.059 * [taylor]: Taking taylor expansion of re in re 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [backup-simplify]: Simplify (* 1 1) into 1 9.059 * [backup-simplify]: Simplify (/ 1 1) into 1 9.059 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.060 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.060 * [taylor]: Taking taylor expansion of im in re 9.060 * [backup-simplify]: Simplify im into im 9.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.060 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.060 * [backup-simplify]: Simplify (+ 1 0) into 1 9.061 * [backup-simplify]: Simplify (sqrt 1) into 1 9.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.062 * [backup-simplify]: Simplify (+ 0 0) into 0 9.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.063 * [taylor]: Taking taylor expansion of re in re 9.063 * [backup-simplify]: Simplify 0 into 0 9.063 * [backup-simplify]: Simplify 1 into 1 9.063 * [backup-simplify]: Simplify (/ 1 1) into 1 9.064 * [backup-simplify]: Simplify (- 1) into -1 9.064 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.064 * [taylor]: Taking taylor expansion of 0 in im 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (- 0) into 0 9.066 * [backup-simplify]: Simplify (+ 0 0) into 0 9.066 * [taylor]: Taking taylor expansion of 0 in im 9.066 * [backup-simplify]: Simplify 0 into 0 9.066 * [backup-simplify]: Simplify 0 into 0 9.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.068 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.069 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.070 * [backup-simplify]: Simplify (- 0) into 0 9.071 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.071 * [taylor]: Taking taylor expansion of 1/2 in im 9.071 * [backup-simplify]: Simplify 1/2 into 1/2 9.071 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.071 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.071 * [taylor]: Taking taylor expansion of im in im 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (* 1 1) into 1 9.072 * [backup-simplify]: Simplify (/ 1 1) into 1 9.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 0 into 0 9.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.075 * [backup-simplify]: Simplify (+ 0 0) into 0 9.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.076 * [backup-simplify]: Simplify (- 0) into 0 9.077 * [backup-simplify]: Simplify (+ 0 0) into 0 9.077 * [taylor]: Taking taylor expansion of 0 in im 9.077 * [backup-simplify]: Simplify 0 into 0 9.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 0 into 0 9.078 * [backup-simplify]: Simplify 0 into 0 9.079 * [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))))) 9.079 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 9.079 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.079 * [taylor]: Taking taylor expansion of re in im 9.079 * [backup-simplify]: Simplify re into re 9.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.079 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.079 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.079 * [taylor]: Taking taylor expansion of re in im 9.079 * [backup-simplify]: Simplify re into re 9.079 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.079 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.079 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.079 * [taylor]: Taking taylor expansion of im in im 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 1 into 1 9.079 * [backup-simplify]: Simplify (* 1 1) into 1 9.079 * [backup-simplify]: Simplify (/ 1 1) into 1 9.080 * [backup-simplify]: Simplify (+ 0 1) into 1 9.080 * [backup-simplify]: Simplify (sqrt 1) into 1 9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.081 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.082 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.082 * [taylor]: Taking taylor expansion of re in re 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify (/ 1 1) into 1 9.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.082 * [taylor]: Taking taylor expansion of re in re 9.082 * [backup-simplify]: Simplify 0 into 0 9.082 * [backup-simplify]: Simplify 1 into 1 9.082 * [backup-simplify]: Simplify (* 1 1) into 1 9.082 * [backup-simplify]: Simplify (/ 1 1) into 1 9.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.082 * [taylor]: Taking taylor expansion of im in re 9.083 * [backup-simplify]: Simplify im into im 9.083 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.083 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.083 * [backup-simplify]: Simplify (+ 1 0) into 1 9.083 * [backup-simplify]: Simplify (sqrt 1) into 1 9.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.085 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.085 * [taylor]: Taking taylor expansion of re in re 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (/ 1 1) into 1 9.085 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.085 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.085 * [taylor]: Taking taylor expansion of re in re 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 1 into 1 9.085 * [backup-simplify]: Simplify (* 1 1) into 1 9.086 * [backup-simplify]: Simplify (/ 1 1) into 1 9.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.086 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.086 * [taylor]: Taking taylor expansion of im in re 9.086 * [backup-simplify]: Simplify im into im 9.086 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.086 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.086 * [backup-simplify]: Simplify (+ 1 0) into 1 9.086 * [backup-simplify]: Simplify (sqrt 1) into 1 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.087 * [backup-simplify]: Simplify (+ 0 0) into 0 9.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.088 * [backup-simplify]: Simplify (+ 1 1) into 2 9.088 * [taylor]: Taking taylor expansion of 2 in im 9.088 * [backup-simplify]: Simplify 2 into 2 9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [taylor]: Taking taylor expansion of 0 in im 9.089 * [backup-simplify]: Simplify 0 into 0 9.089 * [backup-simplify]: Simplify 2 into 2 9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.091 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.091 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.091 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.091 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.091 * [taylor]: Taking taylor expansion of 1/2 in im 9.091 * [backup-simplify]: Simplify 1/2 into 1/2 9.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.092 * [taylor]: Taking taylor expansion of im in im 9.092 * [backup-simplify]: Simplify 0 into 0 9.092 * [backup-simplify]: Simplify 1 into 1 9.092 * [backup-simplify]: Simplify (* 1 1) into 1 9.092 * [backup-simplify]: Simplify (/ 1 1) into 1 9.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.093 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 9.096 * [backup-simplify]: Simplify (+ 0 0) into 0 9.096 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.096 * [backup-simplify]: Simplify (+ 0 0) into 0 9.096 * [taylor]: Taking taylor expansion of 0 in im 9.096 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 9.099 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.099 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 9.099 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 9.099 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 9.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 9.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.100 * [taylor]: Taking taylor expansion of 2.0 in re 9.100 * [backup-simplify]: Simplify 2.0 into 2.0 9.100 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.100 * [taylor]: Taking taylor expansion of im in re 9.100 * [backup-simplify]: Simplify im into im 9.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 9.100 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 9.100 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 9.100 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 9.100 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 9.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.100 * [taylor]: Taking taylor expansion of im in re 9.100 * [backup-simplify]: Simplify im into im 9.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.100 * [taylor]: Taking taylor expansion of re in re 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.101 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 9.101 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.101 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.101 * [backup-simplify]: Simplify (+ 0 0) into 0 9.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.101 * [taylor]: Taking taylor expansion of re in re 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 1 into 1 9.101 * [backup-simplify]: Simplify (- 0) into 0 9.101 * [backup-simplify]: Simplify (+ im 0) into im 9.102 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.102 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 9.102 * [backup-simplify]: Simplify (- 1) into -1 9.102 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 9.102 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 9.102 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 9.102 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.102 * [taylor]: Taking taylor expansion of 2.0 in im 9.102 * [backup-simplify]: Simplify 2.0 into 2.0 9.103 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.103 * [taylor]: Taking taylor expansion of im in im 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 9.103 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 9.103 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.103 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.103 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.103 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.103 * [taylor]: Taking taylor expansion of im in im 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.103 * [taylor]: Taking taylor expansion of re in im 9.103 * [backup-simplify]: Simplify re into re 9.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.104 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.104 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.104 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.104 * [backup-simplify]: Simplify (+ 0 0) into 0 9.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.104 * [taylor]: Taking taylor expansion of re in im 9.104 * [backup-simplify]: Simplify re into re 9.104 * [backup-simplify]: Simplify (- re) into (- re) 9.104 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.104 * [backup-simplify]: Simplify (- 0) into 0 9.105 * [backup-simplify]: Simplify (+ 0 0) into 0 9.105 * [backup-simplify]: Simplify (* 1 1) into 1 9.105 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.106 * [backup-simplify]: Simplify (+ 1 0) into 1 9.106 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.107 * [backup-simplify]: Simplify (- 0) into 0 9.107 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.107 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.107 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 9.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.108 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.109 * [backup-simplify]: Simplify (+ 0 0) into 0 9.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.109 * [backup-simplify]: Simplify (- 0) into 0 9.110 * [backup-simplify]: Simplify (+ 0 0) into 0 9.110 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.110 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 9.110 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 9.110 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.110 * [taylor]: Taking taylor expansion of 2.0 in im 9.110 * [backup-simplify]: Simplify 2.0 into 2.0 9.110 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.111 * [taylor]: Taking taylor expansion of im in im 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 9.111 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 9.111 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 9.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 9.111 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 9.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.111 * [taylor]: Taking taylor expansion of im in im 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.112 * [taylor]: Taking taylor expansion of re in im 9.112 * [backup-simplify]: Simplify re into re 9.112 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.112 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 9.112 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.112 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.112 * [backup-simplify]: Simplify (+ 0 0) into 0 9.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.112 * [taylor]: Taking taylor expansion of re in im 9.112 * [backup-simplify]: Simplify re into re 9.112 * [backup-simplify]: Simplify (- re) into (- re) 9.113 * [backup-simplify]: Simplify (+ re (- re)) into 0 9.113 * [backup-simplify]: Simplify (- 0) into 0 9.113 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [backup-simplify]: Simplify (* 1 1) into 1 9.114 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 9.114 * [backup-simplify]: Simplify (+ 1 0) into 1 9.115 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 9.116 * [backup-simplify]: Simplify (- 0) into 0 9.116 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 9.116 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 9.116 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 9.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.117 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 9.118 * [backup-simplify]: Simplify (+ 0 0) into 0 9.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 9.118 * [backup-simplify]: Simplify (- 0) into 0 9.119 * [backup-simplify]: Simplify (+ 0 0) into 0 9.119 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.120 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.120 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 9.120 * [taylor]: Taking taylor expansion of 0 in re 9.120 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 0 into 0 9.123 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 9.124 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 9.124 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 9.124 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 9.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.124 * [taylor]: Taking taylor expansion of 2.0 in re 9.124 * [backup-simplify]: Simplify 2.0 into 2.0 9.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.126 * [taylor]: Taking taylor expansion of (sqrt 2) in re 9.126 * [taylor]: Taking taylor expansion of 2 in re 9.126 * [backup-simplify]: Simplify 2 into 2 9.126 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.127 * [taylor]: Taking taylor expansion of (sqrt re) in re 9.127 * [taylor]: Taking taylor expansion of re in re 9.127 * [backup-simplify]: Simplify 0 into 0 9.127 * [backup-simplify]: Simplify 1 into 1 9.127 * [backup-simplify]: Simplify (sqrt 0) into 0 9.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.130 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 9.131 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.133 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 9.133 * [backup-simplify]: Simplify (+ 0 0) into 0 9.134 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 9.134 * [backup-simplify]: Simplify (- 0) into 0 9.134 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 9.135 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 9.136 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 9.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.138 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 9.140 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 9.140 * [taylor]: Taking taylor expansion of 0 in re 9.140 * [backup-simplify]: Simplify 0 into 0 9.140 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 9.144 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 9.147 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 9.147 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.149 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 9.150 * [backup-simplify]: Simplify (- 0) into 0 9.150 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 9.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 9.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.155 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 9.156 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 9.156 * [taylor]: Taking taylor expansion of 1/4 in re 9.156 * [backup-simplify]: Simplify 1/4 into 1/4 9.156 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 9.156 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 9.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.157 * [taylor]: Taking taylor expansion of 2.0 in re 9.157 * [backup-simplify]: Simplify 2.0 into 2.0 9.157 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.157 * [taylor]: Taking taylor expansion of (sqrt 2) in re 9.157 * [taylor]: Taking taylor expansion of 2 in re 9.157 * [backup-simplify]: Simplify 2 into 2 9.158 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 9.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 9.159 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 9.159 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 9.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 9.159 * [taylor]: Taking taylor expansion of (pow re 3) in re 9.159 * [taylor]: Taking taylor expansion of re in re 9.159 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify 1 into 1 9.159 * [backup-simplify]: Simplify (* 1 1) into 1 9.159 * [backup-simplify]: Simplify (* 1 1) into 1 9.160 * [backup-simplify]: Simplify (/ 1 1) into 1 9.160 * [backup-simplify]: Simplify (sqrt 0) into 0 9.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.164 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.164 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 9.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.166 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.167 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 9.169 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 9.171 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 9.172 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 9.176 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 9.178 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 9.178 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.181 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 9.182 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.182 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 9.187 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 9.193 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 9.194 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (sqrt (* (/ 1 im) (/ 1 im))) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 9.194 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 9.194 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 9.194 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 9.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.194 * [taylor]: Taking taylor expansion of 2.0 in re 9.194 * [backup-simplify]: Simplify 2.0 into 2.0 9.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.195 * [taylor]: Taking taylor expansion of im in re 9.195 * [backup-simplify]: Simplify im into im 9.195 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 9.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 9.196 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 9.196 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 9.196 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.196 * [taylor]: Taking taylor expansion of re in re 9.196 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify 1 into 1 9.196 * [backup-simplify]: Simplify (* 1 1) into 1 9.196 * [backup-simplify]: Simplify (/ 1 1) into 1 9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.196 * [taylor]: Taking taylor expansion of im in re 9.197 * [backup-simplify]: Simplify im into im 9.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.197 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.197 * [backup-simplify]: Simplify (+ 1 0) into 1 9.197 * [backup-simplify]: Simplify (sqrt 1) into 1 9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.200 * [taylor]: Taking taylor expansion of re in re 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [backup-simplify]: Simplify (- 1) into -1 9.201 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify (- 0) into 0 9.202 * [backup-simplify]: Simplify (+ 0 0) into 0 9.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.206 * [backup-simplify]: Simplify (- 0) into 0 9.206 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.207 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 9.207 * [backup-simplify]: Simplify (sqrt 0) into 0 9.207 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 9.207 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 9.208 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.208 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.208 * [taylor]: Taking taylor expansion of 2.0 in im 9.208 * [backup-simplify]: Simplify 2.0 into 2.0 9.208 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.209 * [taylor]: Taking taylor expansion of im in im 9.209 * [backup-simplify]: Simplify 0 into 0 9.209 * [backup-simplify]: Simplify 1 into 1 9.210 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.210 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.210 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.210 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.210 * [taylor]: Taking taylor expansion of re in im 9.210 * [backup-simplify]: Simplify re into re 9.210 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.210 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.210 * [taylor]: Taking taylor expansion of im in im 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 1 into 1 9.211 * [backup-simplify]: Simplify (* 1 1) into 1 9.211 * [backup-simplify]: Simplify (/ 1 1) into 1 9.211 * [backup-simplify]: Simplify (+ 0 1) into 1 9.212 * [backup-simplify]: Simplify (sqrt 1) into 1 9.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.214 * [taylor]: Taking taylor expansion of re in im 9.214 * [backup-simplify]: Simplify re into re 9.214 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.215 * [backup-simplify]: Simplify (+ 1 0) into 1 9.215 * [backup-simplify]: Simplify (/ 1 1) into 1 9.216 * [backup-simplify]: Simplify (sqrt 0) into 0 9.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.217 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 9.217 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.217 * [taylor]: Taking taylor expansion of 2.0 in im 9.217 * [backup-simplify]: Simplify 2.0 into 2.0 9.218 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.218 * [taylor]: Taking taylor expansion of im in im 9.218 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 9.219 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 9.220 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 9.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.220 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.220 * [taylor]: Taking taylor expansion of re in im 9.220 * [backup-simplify]: Simplify re into re 9.220 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.220 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.220 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.220 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.220 * [taylor]: Taking taylor expansion of im in im 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (* 1 1) into 1 9.221 * [backup-simplify]: Simplify (/ 1 1) into 1 9.221 * [backup-simplify]: Simplify (+ 0 1) into 1 9.221 * [backup-simplify]: Simplify (sqrt 1) into 1 9.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.223 * [backup-simplify]: Simplify (+ 0 0) into 0 9.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.224 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.224 * [taylor]: Taking taylor expansion of re in im 9.224 * [backup-simplify]: Simplify re into re 9.224 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.224 * [backup-simplify]: Simplify (+ 1 0) into 1 9.225 * [backup-simplify]: Simplify (/ 1 1) into 1 9.225 * [backup-simplify]: Simplify (sqrt 0) into 0 9.227 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.227 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.227 * [taylor]: Taking taylor expansion of 0 in re 9.227 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.230 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.230 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 9.230 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.231 * [taylor]: Taking taylor expansion of +nan.0 in re 9.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.231 * [taylor]: Taking taylor expansion of 2.0 in re 9.231 * [backup-simplify]: Simplify 2.0 into 2.0 9.231 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.232 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 9.232 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 9.234 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 9.235 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.237 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 9.238 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.238 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.238 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.238 * [taylor]: Taking taylor expansion of +nan.0 in re 9.238 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.238 * [taylor]: Taking taylor expansion of 2.0 in re 9.238 * [backup-simplify]: Simplify 2.0 into 2.0 9.238 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.239 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.239 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.239 * [taylor]: Taking taylor expansion of +nan.0 in re 9.239 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.239 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.239 * [taylor]: Taking taylor expansion of 2.0 in re 9.239 * [backup-simplify]: Simplify 2.0 into 2.0 9.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.240 * [taylor]: Taking taylor expansion of re in re 9.240 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify 1 into 1 9.241 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.242 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.246 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.248 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.249 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.250 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.251 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.253 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.254 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.256 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.256 * [backup-simplify]: Simplify (- 0) into 0 9.256 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 9.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.257 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 9.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.263 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 9.263 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 9.263 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 9.263 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.263 * [taylor]: Taking taylor expansion of +nan.0 in re 9.263 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.263 * [taylor]: Taking taylor expansion of 2.0 in re 9.263 * [backup-simplify]: Simplify 2.0 into 2.0 9.264 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.265 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 9.265 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 9.265 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.265 * [taylor]: Taking taylor expansion of +nan.0 in re 9.265 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.265 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.265 * [taylor]: Taking taylor expansion of 2.0 in re 9.265 * [backup-simplify]: Simplify 2.0 into 2.0 9.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.266 * [taylor]: Taking taylor expansion of re in re 9.266 * [backup-simplify]: Simplify 0 into 0 9.266 * [backup-simplify]: Simplify 1 into 1 9.267 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.267 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 9.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 9.267 * [taylor]: Taking taylor expansion of +nan.0 in re 9.267 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.267 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 9.267 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.267 * [taylor]: Taking taylor expansion of 2.0 in re 9.267 * [backup-simplify]: Simplify 2.0 into 2.0 9.267 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.268 * [taylor]: Taking taylor expansion of re in re 9.268 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify 1 into 1 9.268 * [backup-simplify]: Simplify (* 1 1) into 1 9.269 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.270 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.272 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.272 * [backup-simplify]: Simplify (- 0) into 0 9.274 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.276 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.278 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.279 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.280 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.283 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 9.283 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ (sqrt (* (/ 1 (- im)) (/ 1 (- im)))) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 9.283 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 9.284 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 9.284 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 9.284 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.284 * [taylor]: Taking taylor expansion of 2.0 in re 9.284 * [backup-simplify]: Simplify 2.0 into 2.0 9.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.284 * [taylor]: Taking taylor expansion of im in re 9.284 * [backup-simplify]: Simplify im into im 9.285 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 9.285 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 9.285 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 9.285 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 9.285 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.285 * [taylor]: Taking taylor expansion of re in re 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [backup-simplify]: Simplify (/ 1 1) into 1 9.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 9.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 9.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 9.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.285 * [taylor]: Taking taylor expansion of re in re 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 1 into 1 9.285 * [backup-simplify]: Simplify (* 1 1) into 1 9.286 * [backup-simplify]: Simplify (/ 1 1) into 1 9.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 9.286 * [taylor]: Taking taylor expansion of (pow im 2) in re 9.286 * [taylor]: Taking taylor expansion of im in re 9.286 * [backup-simplify]: Simplify im into im 9.286 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.286 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 9.286 * [backup-simplify]: Simplify (+ 1 0) into 1 9.287 * [backup-simplify]: Simplify (sqrt 1) into 1 9.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ 0 0) into 0 9.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.288 * [backup-simplify]: Simplify (+ 1 1) into 2 9.289 * [backup-simplify]: Simplify (/ 1 2) into 1/2 9.289 * [backup-simplify]: Simplify (sqrt 0) into 0 9.290 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 9.290 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 9.290 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.290 * [taylor]: Taking taylor expansion of 2.0 in im 9.290 * [backup-simplify]: Simplify 2.0 into 2.0 9.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.291 * [taylor]: Taking taylor expansion of im in im 9.291 * [backup-simplify]: Simplify 0 into 0 9.291 * [backup-simplify]: Simplify 1 into 1 9.291 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 9.291 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 9.291 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.291 * [taylor]: Taking taylor expansion of re in im 9.291 * [backup-simplify]: Simplify re into re 9.291 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.291 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.291 * [taylor]: Taking taylor expansion of re in im 9.291 * [backup-simplify]: Simplify re into re 9.292 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.292 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.292 * [taylor]: Taking taylor expansion of im in im 9.292 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify 1 into 1 9.292 * [backup-simplify]: Simplify (* 1 1) into 1 9.292 * [backup-simplify]: Simplify (/ 1 1) into 1 9.292 * [backup-simplify]: Simplify (+ 0 1) into 1 9.293 * [backup-simplify]: Simplify (sqrt 1) into 1 9.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.294 * [backup-simplify]: Simplify (+ 0 0) into 0 9.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.295 * [backup-simplify]: Simplify (+ 0 1) into 1 9.295 * [backup-simplify]: Simplify (/ 1 1) into 1 9.295 * [backup-simplify]: Simplify (sqrt 0) into 0 9.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.296 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 9.296 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 9.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.296 * [taylor]: Taking taylor expansion of 2.0 in im 9.296 * [backup-simplify]: Simplify 2.0 into 2.0 9.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.297 * [taylor]: Taking taylor expansion of im in im 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.298 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 9.298 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 9.298 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 9.298 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.298 * [taylor]: Taking taylor expansion of re in im 9.298 * [backup-simplify]: Simplify re into re 9.298 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 9.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 9.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 9.298 * [taylor]: Taking taylor expansion of (pow re 2) in im 9.298 * [taylor]: Taking taylor expansion of re in im 9.298 * [backup-simplify]: Simplify re into re 9.298 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 9.298 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.298 * [taylor]: Taking taylor expansion of im in im 9.298 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify 1 into 1 9.298 * [backup-simplify]: Simplify (* 1 1) into 1 9.299 * [backup-simplify]: Simplify (/ 1 1) into 1 9.299 * [backup-simplify]: Simplify (+ 0 1) into 1 9.299 * [backup-simplify]: Simplify (sqrt 1) into 1 9.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.300 * [backup-simplify]: Simplify (+ 0 0) into 0 9.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.301 * [backup-simplify]: Simplify (+ 0 1) into 1 9.301 * [backup-simplify]: Simplify (/ 1 1) into 1 9.302 * [backup-simplify]: Simplify (sqrt 0) into 0 9.302 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.303 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.303 * [taylor]: Taking taylor expansion of 0 in re 9.303 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify 0 into 0 9.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.305 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.305 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 9.305 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.305 * [taylor]: Taking taylor expansion of +nan.0 in re 9.305 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.305 * [taylor]: Taking taylor expansion of 2.0 in re 9.305 * [backup-simplify]: Simplify 2.0 into 2.0 9.305 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.306 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.307 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.308 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.308 * [backup-simplify]: Simplify 0 into 0 9.308 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 9.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 9.309 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 9.310 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.312 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 9.312 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 9.312 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 9.312 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.312 * [taylor]: Taking taylor expansion of +nan.0 in re 9.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.312 * [taylor]: Taking taylor expansion of 2.0 in re 9.312 * [backup-simplify]: Simplify 2.0 into 2.0 9.312 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.313 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 9.313 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.313 * [taylor]: Taking taylor expansion of +nan.0 in re 9.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.313 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.313 * [taylor]: Taking taylor expansion of 2.0 in re 9.313 * [backup-simplify]: Simplify 2.0 into 2.0 9.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.314 * [taylor]: Taking taylor expansion of re in re 9.314 * [backup-simplify]: Simplify 0 into 0 9.314 * [backup-simplify]: Simplify 1 into 1 9.315 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.315 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.317 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.317 * [backup-simplify]: Simplify (- 0) into 0 9.318 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.319 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.320 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.321 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.321 * [backup-simplify]: Simplify (- 0) into 0 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.323 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 9.325 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 9.325 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 9.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 9.326 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 9.328 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.332 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 9.332 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 9.332 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 9.332 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 9.332 * [taylor]: Taking taylor expansion of +nan.0 in re 9.332 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.332 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.332 * [taylor]: Taking taylor expansion of 2.0 in re 9.332 * [backup-simplify]: Simplify 2.0 into 2.0 9.332 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.333 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 9.333 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 9.333 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 9.333 * [taylor]: Taking taylor expansion of +nan.0 in re 9.333 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.333 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 9.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.334 * [taylor]: Taking taylor expansion of 2.0 in re 9.334 * [backup-simplify]: Simplify 2.0 into 2.0 9.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.335 * [taylor]: Taking taylor expansion of re in re 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.336 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.336 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 9.336 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 9.336 * [taylor]: Taking taylor expansion of +nan.0 in re 9.336 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.336 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 9.336 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.336 * [taylor]: Taking taylor expansion of 2.0 in re 9.336 * [backup-simplify]: Simplify 2.0 into 2.0 9.337 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.337 * [taylor]: Taking taylor expansion of (pow re 2) in re 9.337 * [taylor]: Taking taylor expansion of re in re 9.337 * [backup-simplify]: Simplify 0 into 0 9.337 * [backup-simplify]: Simplify 1 into 1 9.338 * [backup-simplify]: Simplify (* 1 1) into 1 9.339 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.340 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.341 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.345 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.345 * [backup-simplify]: Simplify (- 0) into 0 9.345 * [backup-simplify]: Simplify (+ 0 0) into 0 9.346 * [backup-simplify]: Simplify (- 0) into 0 9.347 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.348 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.349 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.352 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 9.352 * * * [progress]: simplifying candidates 9.352 * * * * [progress]: [ 1 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 2 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 3 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 4 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 5 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 6 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 7 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 8 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 9 / 135 ] simplifiying candidate # 9.352 * * * * [progress]: [ 10 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 11 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 12 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 13 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 14 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 15 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 16 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 17 / 135 ] simplifiying candidate #real (real->posit16 (sqrt (* im im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))> 9.353 * * * * [progress]: [ 18 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 19 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 20 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 21 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 22 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 23 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 24 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 25 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 26 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 27 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 28 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 29 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 30 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 31 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 32 / 135 ] simplifiying candidate # 9.353 * * * * [progress]: [ 33 / 135 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re))))))> 9.354 * * * * [progress]: [ 34 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 35 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 36 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 37 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 38 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 39 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 40 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 41 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 42 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 43 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 44 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 45 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 46 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 47 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 48 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 49 / 135 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re))))))))> 9.354 * * * * [progress]: [ 50 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 51 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 52 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 53 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 54 / 135 ] simplifiying candidate # 9.354 * * * * [progress]: [ 55 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 56 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 57 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 58 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 59 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 60 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 61 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 62 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 63 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 64 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 65 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 66 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 67 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 68 / 135 ] simplifiying candidate # 9.355 * * * * [progress]: [ 69 / 135 ] 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[progress]: [ 85 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 86 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 87 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 88 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 89 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 90 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 91 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 92 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 93 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 94 / 135 ] simplifiying candidate # 9.356 * * * * [progress]: [ 95 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 96 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 97 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 98 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 99 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 100 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 101 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 102 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 103 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 104 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 105 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 106 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 107 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 108 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 109 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 110 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 111 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 112 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 113 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 114 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 115 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 116 / 135 ] simplifiying candidate # 9.357 * * * * [progress]: [ 117 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 118 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 119 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 120 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 121 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 122 / 135 ] simplifiying candidate #real (real->posit16 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))))))> 9.358 * * * * [progress]: [ 123 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 124 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 125 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 126 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 127 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 128 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 129 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 130 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 131 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 132 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 133 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 134 / 135 ] simplifiying candidate # 9.358 * * * * [progress]: [ 135 / 135 ] simplifiying candidate # 9.360 * [simplify]: Simplifying: (log (sqrt (* im im))) (exp (sqrt (* im im))) (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (cbrt (sqrt (* im im))) (* (* (sqrt (* im im)) (sqrt (* im im))) (sqrt (* im im))) (sqrt im) (sqrt im) (/ (+ 1 1) 2) (/ 1 2) (/ 2 2) (/ (+ 1 1) 2) (/ 1 2) (/ (* 2 1) 2) (sqrt (sqrt (* im im))) (sqrt (sqrt (* im im))) (real->posit16 (sqrt (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (+ (log (sqrt 2.0)) (- (log (sqrt (* im im))) (log (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (+ (log (sqrt 2.0)) (log (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (exp (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (/ (* (* (sqrt (* im im)) (sqrt (* im im))) (sqrt (* im im))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0)) (* (* (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (* (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* 2.0 (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (* (cbrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (sqrt (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt 1))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (cbrt (sqrt (* im im))) (cbrt (sqrt (* im im)))) 1)) (* (sqrt 2.0) (/ (sqrt im) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt im) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt im) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ (sqrt im) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ (sqrt im) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt im) 1)) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt 1))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (sqrt (sqrt (* im im))) 1)) (* (sqrt 2.0) (/ 1 (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))))) (* (sqrt 2.0) (/ 1 (sqrt 1))) (* (sqrt 2.0) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ 1 1)) (* (sqrt 2.0) 1) (* (sqrt 2.0) (sqrt (* im im))) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))))) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))))) (* (cbrt (sqrt 2.0)) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (cbrt 2.0)) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (sqrt (* im im))) (real->posit16 (* (sqrt 2.0) (/ (sqrt (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) im im (* -1 im) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 9.362 * * [simplify]: iteration 1: (225 enodes) 9.433 * * [simplify]: iteration 2: (554 enodes) 9.669 * * [simplify]: iteration 3: (1777 enodes) 11.178 * * [simplify]: Extracting #0: cost 88 inf + 0 11.180 * * [simplify]: Extracting #1: cost 534 inf + 46 11.188 * * [simplify]: Extracting #2: cost 1053 inf + 3696 11.209 * * [simplify]: Extracting #3: cost 1050 inf + 43978 11.265 * * [simplify]: Extracting #4: cost 630 inf + 130403 11.338 * * [simplify]: Extracting #5: cost 194 inf + 294470 11.491 * * [simplify]: Extracting #6: cost 2 inf + 382108 11.597 * * [simplify]: Extracting #7: cost 0 inf + 383134 11.725 * [simplify]: Simplified to: (log (fabs im)) (exp (fabs im)) (* (cbrt (fabs im)) (cbrt (fabs im))) (cbrt (fabs im)) (* (* im im) (fabs im)) (sqrt im) (sqrt im) 1 1/2 1 1 1/2 1 (sqrt (fabs im)) (sqrt (fabs im)) (real->posit16 (fabs im)) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* im im) (* im im)) (* im im)) (* (* (* re re) re) (* (* re re) re)))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (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)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (+ (+ (+ (* re re) (* im im)) (* re re)) (* (sqrt (+ (* re re) (* im im))) re)) (- re) (+ (* im im) 0) (+ re (sqrt (+ (* re re) (* im im)))) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (log (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (exp (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (/ (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt 2.0) (/ (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (sqrt (sqrt 2.0)) (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt 2.0))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (fabs im)) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (cbrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))) (* (sqrt (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0)) (/ (sqrt 2.0) (* (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (fabs im))) (/ (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (fabs im))))) (/ (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))) (* (sqrt 2.0) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (/ (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt im) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt 2.0) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt im))) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0)) (* (sqrt im) (sqrt 2.0)) (/ (* (sqrt im) (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (* (sqrt im) (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt im) (sqrt 2.0)) (* (/ (sqrt im) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0)) (* (sqrt im) (sqrt 2.0)) (/ (* (sqrt (fabs im)) (sqrt 2.0)) (* (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (/ (sqrt 2.0) (/ (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (fabs im)))) (/ (* (sqrt (fabs im)) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt 2.0)) (/ (* (sqrt (fabs im)) (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (* (sqrt (fabs im)) (sqrt 2.0)) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (fabs im)) (sqrt 2.0)) (/ (* (sqrt (fabs im)) (sqrt 2.0)) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt 2.0)) (/ (/ (sqrt 2.0) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (/ (sqrt 2.0) (sqrt (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im))))))) (sqrt 2.0) (/ (sqrt 2.0) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt 2.0) (* (fabs im) (sqrt 2.0)) (/ (* (fabs im) (sqrt 2.0)) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)))) (/ (* (fabs im) (sqrt 2.0)) (sqrt (+ (* im im) 0))) (* (cbrt (sqrt 2.0)) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (sqrt (cbrt 2.0)) (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (fabs im) (sqrt (sqrt 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (sqrt 2.0)) (real->posit16 (* (sqrt 2.0) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) im im (- im) im re (- re) (- im re) 0 (* -2 re) (- (- (/ (* (* im im) (* (sqrt 2.0) +nan.0)) (sqrt 2)) (* (* (* (sqrt 2.0) +nan.0) (sqrt 2)) (- re (* re re))))) (* +nan.0 (+ (- (/ (* (sqrt 2.0) re) (* im im))) (- (sqrt 2.0) (/ (* (sqrt 2.0) re) im)))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))) 11.749 * * * [progress]: adding candidates to table 13.390 * [progress]: [Phase 3 of 3] Extracting. 13.390 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 13.395 * * * [regime-changes]: Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 13.395 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # #) 13.623 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # # # #) 13.723 * * * * [regimes]: Trying to branch on (* im im) from (# # # # #) 13.785 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # #) 13.943 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # # # #) 14.079 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # # # #) 14.210 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # # # # #) 14.343 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # # # # #) 14.490 * * * [regime]: Found split indices: #