23.557 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: Extracting # 3 : cost 0 0.044 * * [simplify]: Extracting # 4 : cost 0 0.044 * * [simplify]: Extracting # 5 : cost 0 0.044 * * [simplify]: Extracting # 6 : cost 0 0.044 * * [simplify]: Extracting # 7 : cost 0 0.044 * * [simplify]: Extracting # 8 : cost 0 0.044 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.057 * * [simplify]: Extracting # 0 : cost 0 0.057 * * [simplify]: iteration done: 24 enodes (cost 15 ) 0.057 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.094 * * * [progress]: generating rewritten candidates 0.094 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.113 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.144 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.183 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.183 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.183 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.183 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.183 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.183 * [taylor]: Taking taylor expansion of re in im 0.183 * [backup-simplify]: Simplify re into re 0.183 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.183 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.183 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.183 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [backup-simplify]: Simplify im into im 0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.184 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.184 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.184 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [backup-simplify]: Simplify im into im 0.185 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.185 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.185 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.185 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.185 * [taylor]: Taking taylor expansion of im in im 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [taylor]: Taking taylor expansion of 0 in im 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.186 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.187 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.187 * [taylor]: Taking taylor expansion of 1/2 in im 0.187 * [backup-simplify]: Simplify 1/2 into 1/2 0.187 * [taylor]: Taking taylor expansion of im in im 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in im 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.190 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.190 * [taylor]: Taking taylor expansion of im in im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.190 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.190 * [taylor]: Taking taylor expansion of re in im 0.190 * [backup-simplify]: Simplify re into re 0.190 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.191 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.191 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [backup-simplify]: Simplify (sqrt 1) into 1 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.193 * [taylor]: Taking taylor expansion of im in re 0.193 * [backup-simplify]: Simplify im into im 0.193 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.193 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.193 * [taylor]: Taking taylor expansion of re in re 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ 0 1) into 1 0.195 * [backup-simplify]: Simplify (sqrt 1) into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.197 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.197 * [taylor]: Taking taylor expansion of im in re 0.197 * [backup-simplify]: Simplify im into im 0.197 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.202 * [taylor]: Taking taylor expansion of 1 in im 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.206 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) 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 (pow im 2) in im 0.206 * [taylor]: Taking taylor expansion of im in im 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.214 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.214 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.215 * [taylor]: Taking taylor expansion of im in im 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 re 2)) in im 0.215 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.216 * [taylor]: Taking taylor expansion of re in im 0.216 * [backup-simplify]: Simplify re into re 0.216 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.216 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (sqrt 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.220 * [taylor]: Taking taylor expansion of im in re 0.220 * [backup-simplify]: Simplify im into im 0.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.220 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [backup-simplify]: Simplify (sqrt 1) into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [backup-simplify]: Simplify im into im 0.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.225 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.225 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (sqrt 1) into 1 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.229 * [taylor]: Taking taylor expansion of 1 in im 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [taylor]: Taking taylor expansion of 0 in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.231 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.231 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.231 * [taylor]: Taking taylor expansion of 1/2 in im 0.231 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.236 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.236 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.236 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.236 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.236 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.236 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.236 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.236 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.236 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.237 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.237 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.237 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.237 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.237 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.237 * [taylor]: Taking taylor expansion of re in re 0.237 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.238 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.238 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.238 * [taylor]: Taking taylor expansion of re in re 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.238 * [taylor]: Taking taylor expansion of im in re 0.238 * [backup-simplify]: Simplify im into im 0.238 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.238 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.238 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.238 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 im) into im 0.238 * [taylor]: Taking taylor expansion of im in im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [taylor]: Taking taylor expansion of 1 in im 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.240 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.240 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.240 * [taylor]: Taking taylor expansion of 1/2 in im 0.240 * [backup-simplify]: Simplify 1/2 into 1/2 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.244 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.244 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.244 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.244 * [taylor]: Taking taylor expansion of re in im 0.244 * [backup-simplify]: Simplify re into re 0.244 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.244 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.244 * [taylor]: Taking taylor expansion of im in im 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.245 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.245 * [taylor]: Taking taylor expansion of re in im 0.245 * [backup-simplify]: Simplify re into re 0.245 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.245 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.245 * [backup-simplify]: Simplify (+ 1 0) into 1 0.246 * [backup-simplify]: Simplify (sqrt 1) into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.247 * [taylor]: Taking taylor expansion of re in re 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.247 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.247 * [taylor]: Taking taylor expansion of im in re 0.247 * [backup-simplify]: Simplify im into im 0.248 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.248 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.248 * [taylor]: Taking taylor expansion of re in re 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.249 * [backup-simplify]: Simplify (sqrt 1) into 1 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [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 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.251 * [taylor]: Taking taylor expansion of im in re 0.251 * [backup-simplify]: Simplify im into im 0.251 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.251 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.251 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.251 * [taylor]: Taking taylor expansion of re in re 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (+ 0 1) into 1 0.252 * [backup-simplify]: Simplify (sqrt 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.253 * [backup-simplify]: Simplify (+ 1 1) into 2 0.253 * [taylor]: Taking taylor expansion of 2 in im 0.253 * [backup-simplify]: Simplify 2 into 2 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [taylor]: Taking taylor expansion of 0 in im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 2 into 2 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.257 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.257 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.257 * [taylor]: Taking taylor expansion of 1/2 in im 0.257 * [backup-simplify]: Simplify 1/2 into 1/2 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [taylor]: Taking taylor expansion of 0 in im 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.265 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.265 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.265 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.266 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [backup-simplify]: Simplify re into re 0.266 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.266 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.267 * [backup-simplify]: Simplify (sqrt 1) into 1 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.268 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.268 * [taylor]: Taking taylor expansion of re in im 0.268 * [backup-simplify]: Simplify re into re 0.268 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.268 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.268 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.268 * [taylor]: Taking taylor expansion of im in re 0.268 * [backup-simplify]: Simplify im into im 0.268 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.268 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.268 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.268 * [taylor]: Taking taylor expansion of re in re 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (sqrt 1) into 1 0.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [backup-simplify]: Simplify im into im 0.271 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.271 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify (+ 0 1) into 1 0.272 * [backup-simplify]: Simplify (sqrt 1) into 1 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.274 * [taylor]: Taking taylor expansion of re in re 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in im 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.279 * [taylor]: Taking taylor expansion of 1/2 in im 0.279 * [backup-simplify]: Simplify 1/2 into 1/2 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.279 * [taylor]: Taking taylor expansion of im in im 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.288 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 0.288 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.288 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.288 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.288 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [backup-simplify]: Simplify 2.0 into 2.0 0.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.289 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.289 * [taylor]: Taking taylor expansion of re in im 0.289 * [backup-simplify]: Simplify re into re 0.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.289 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.289 * [taylor]: Taking taylor expansion of re in im 0.289 * [backup-simplify]: Simplify re into re 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.289 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.289 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.289 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.290 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.290 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.290 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.290 * [taylor]: Taking taylor expansion of 2.0 in re 0.290 * [backup-simplify]: Simplify 2.0 into 2.0 0.290 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.291 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.291 * [taylor]: Taking taylor expansion of re in re 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.291 * [taylor]: Taking taylor expansion of im in re 0.291 * [backup-simplify]: Simplify im into im 0.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.291 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.291 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 im) into im 0.292 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.292 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.292 * [taylor]: Taking taylor expansion of 2.0 in re 0.292 * [backup-simplify]: Simplify 2.0 into 2.0 0.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.293 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.293 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.293 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.293 * [taylor]: Taking taylor expansion of im in re 0.293 * [backup-simplify]: Simplify im into im 0.293 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.294 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.294 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.294 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 im) into im 0.295 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.296 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.296 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.296 * [taylor]: Taking taylor expansion of 2.0 in im 0.296 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.297 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.297 * [taylor]: Taking taylor expansion of im in im 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (sqrt 0) into 0 0.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.299 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.300 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.300 * [taylor]: Taking taylor expansion of 1/2 in im 0.300 * [backup-simplify]: Simplify 1/2 into 1/2 0.300 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (sqrt 0) into 0 0.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.306 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.306 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.312 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.314 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.316 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.317 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.318 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.319 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.319 * [taylor]: Taking taylor expansion of 1/8 in im 0.319 * [backup-simplify]: Simplify 1/8 into 1/8 0.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.319 * [taylor]: Taking taylor expansion of 2.0 in im 0.319 * [backup-simplify]: Simplify 2.0 into 2.0 0.319 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.320 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [backup-simplify]: Simplify (sqrt 0) into 0 0.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.327 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.328 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.332 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.335 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.335 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.335 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.335 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.335 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.335 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.336 * [taylor]: Taking taylor expansion of re in im 0.336 * [backup-simplify]: Simplify re into re 0.336 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.337 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.337 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.337 * [taylor]: Taking taylor expansion of re in im 0.337 * [backup-simplify]: Simplify re into re 0.337 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.337 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.337 * [backup-simplify]: Simplify (sqrt 1) into 1 0.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 1) into 1 0.339 * [backup-simplify]: Simplify (sqrt 0) into 0 0.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.340 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.340 * [taylor]: Taking taylor expansion of 2.0 in re 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.341 * [taylor]: Taking taylor expansion of im in re 0.341 * [backup-simplify]: Simplify im into im 0.341 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.341 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.341 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.341 * [taylor]: Taking taylor expansion of re in re 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (+ 0 1) into 1 0.342 * [backup-simplify]: Simplify (sqrt 1) into 1 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.344 * [backup-simplify]: Simplify (+ 1 1) into 2 0.344 * [backup-simplify]: Simplify (sqrt 0) into 0 0.345 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.345 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.345 * [taylor]: Taking taylor expansion of 2.0 in re 0.345 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.346 * [taylor]: Taking taylor expansion of im in re 0.346 * [backup-simplify]: Simplify im into im 0.346 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [backup-simplify]: Simplify (+ 0 1) into 1 0.347 * [backup-simplify]: Simplify (sqrt 1) into 1 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.349 * [backup-simplify]: Simplify (+ 1 1) into 2 0.349 * [backup-simplify]: Simplify (sqrt 0) into 0 0.350 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.350 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.350 * [taylor]: Taking taylor expansion of 0 in im 0.350 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.352 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.352 * [taylor]: Taking taylor expansion of +nan.0 in im 0.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.352 * [taylor]: Taking taylor expansion of 2.0 in im 0.352 * [backup-simplify]: Simplify 2.0 into 2.0 0.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.352 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.358 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.360 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.360 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.360 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.360 * [taylor]: Taking taylor expansion of +nan.0 in im 0.360 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.360 * [taylor]: Taking taylor expansion of 2.0 in im 0.360 * [backup-simplify]: Simplify 2.0 into 2.0 0.361 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.362 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.364 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.365 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.365 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.369 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.369 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.371 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.371 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.372 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.372 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.372 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.372 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.372 * [taylor]: Taking taylor expansion of +nan.0 in im 0.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.372 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.372 * [taylor]: Taking taylor expansion of 2.0 in im 0.372 * [backup-simplify]: Simplify 2.0 into 2.0 0.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.373 * [taylor]: Taking taylor expansion of im in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 1 into 1 0.373 * [backup-simplify]: Simplify (* 1 1) into 1 0.374 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.374 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.374 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.374 * [taylor]: Taking taylor expansion of +nan.0 in im 0.374 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.374 * [taylor]: Taking taylor expansion of 2.0 in im 0.374 * [backup-simplify]: Simplify 2.0 into 2.0 0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.378 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.379 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) 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 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.384 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.385 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.385 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.385 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.386 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.386 * [taylor]: Taking taylor expansion of +nan.0 in im 0.386 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.386 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.386 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.386 * [taylor]: Taking taylor expansion of 2.0 in im 0.386 * [backup-simplify]: Simplify 2.0 into 2.0 0.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.390 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.390 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.390 * [taylor]: Taking taylor expansion of +nan.0 in im 0.390 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.390 * [taylor]: Taking taylor expansion of 2.0 in im 0.390 * [backup-simplify]: Simplify 2.0 into 2.0 0.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.395 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.396 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.397 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.399 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.399 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.403 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.404 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.404 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.404 * [taylor]: Taking taylor expansion of 2.0 in im 0.404 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.405 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.406 * [taylor]: Taking taylor expansion of im in im 0.406 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ 1 1) into 1 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.406 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.406 * [taylor]: Taking taylor expansion of re in im 0.406 * [backup-simplify]: Simplify re into re 0.407 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.407 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.407 * [backup-simplify]: Simplify (+ 1 0) into 1 0.408 * [backup-simplify]: Simplify (sqrt 1) into 1 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.410 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.410 * [taylor]: Taking taylor expansion of re in im 0.410 * [backup-simplify]: Simplify re into re 0.410 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.411 * [backup-simplify]: Simplify (+ 1 0) into 1 0.411 * [backup-simplify]: Simplify (sqrt 0) into 0 0.412 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.413 * [taylor]: Taking taylor expansion of 2.0 in re 0.413 * [backup-simplify]: Simplify 2.0 into 2.0 0.413 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.414 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.414 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [backup-simplify]: Simplify im into im 0.414 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.414 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.414 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.415 * [backup-simplify]: Simplify (/ 1 1) into 1 0.416 * [backup-simplify]: Simplify (+ 0 1) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (- 1) into -1 0.420 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.425 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.427 * [backup-simplify]: Simplify (sqrt 0) into 0 0.427 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.427 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.427 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.427 * [taylor]: Taking taylor expansion of 2.0 in re 0.427 * [backup-simplify]: Simplify 2.0 into 2.0 0.428 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.429 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.429 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.429 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.429 * [taylor]: Taking taylor expansion of im in re 0.429 * [backup-simplify]: Simplify im into im 0.429 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.429 * [taylor]: Taking taylor expansion of re in re 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify 1 into 1 0.430 * [backup-simplify]: Simplify (* 1 1) into 1 0.430 * [backup-simplify]: Simplify (/ 1 1) into 1 0.431 * [backup-simplify]: Simplify (+ 0 1) into 1 0.431 * [backup-simplify]: Simplify (sqrt 1) into 1 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ 0 0) into 0 0.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.434 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.434 * [taylor]: Taking taylor expansion of re in re 0.434 * [backup-simplify]: Simplify 0 into 0 0.434 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (- 1) into -1 0.435 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (- 0) into 0 0.436 * [backup-simplify]: Simplify (+ 0 0) into 0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.440 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.441 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.442 * [backup-simplify]: Simplify (sqrt 0) into 0 0.443 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.443 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.443 * [taylor]: Taking taylor expansion of 0 in im 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.444 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.444 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.444 * [taylor]: Taking taylor expansion of +nan.0 in im 0.444 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.444 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.444 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.444 * [taylor]: Taking taylor expansion of 2.0 in im 0.444 * [backup-simplify]: Simplify 2.0 into 2.0 0.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.446 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.446 * [taylor]: Taking taylor expansion of im in im 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.450 * [backup-simplify]: Simplify (- 0) into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify 0 into 0 0.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.457 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.458 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.458 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.458 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.458 * [taylor]: Taking taylor expansion of +nan.0 in im 0.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.458 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.458 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.458 * [taylor]: Taking taylor expansion of 2.0 in im 0.459 * [backup-simplify]: Simplify 2.0 into 2.0 0.459 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.460 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.485 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.488 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.491 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.491 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.491 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.491 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.491 * [taylor]: Taking taylor expansion of +nan.0 in im 0.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.491 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.491 * [taylor]: Taking taylor expansion of 2.0 in im 0.491 * [backup-simplify]: Simplify 2.0 into 2.0 0.492 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.492 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.492 * [taylor]: Taking taylor expansion of im in im 0.492 * [backup-simplify]: Simplify 0 into 0 0.492 * [backup-simplify]: Simplify 1 into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (* 1 1) into 1 0.493 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.493 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.493 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.494 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.494 * [taylor]: Taking taylor expansion of im in im 0.494 * [backup-simplify]: Simplify 0 into 0 0.494 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.520 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (- 0) into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * * * [progress]: simplifying candidates 0.522 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.523 * * [simplify]: Extracting # 0 : cost 0 0.523 * * [simplify]: Extracting # 1 : cost 0 0.523 * * [simplify]: Extracting # 2 : cost 0 0.523 * * [simplify]: Extracting # 3 : cost 0 0.523 * * [simplify]: Extracting # 4 : cost 0 0.523 * * [simplify]: Extracting # 5 : cost 0 0.523 * * [simplify]: Extracting # 6 : cost 0 0.524 * * [simplify]: Extracting # 7 : cost 0 0.524 * * [simplify]: Extracting # 8 : cost 0 0.524 * * [simplify]: Extracting # 9 : cost 0 0.524 * * [simplify]: Extracting # 10 : cost 0 0.524 * * [simplify]: Extracting # 11 : cost 0 0.524 * * [simplify]: Extracting # 12 : cost 0 0.524 * * [simplify]: iteration 0 : 99 enodes (cost 722 ) 0.543 * * [simplify]: Extracting # 0 : cost 0 0.543 * * [simplify]: Extracting # 1 : cost 0 0.544 * * [simplify]: Extracting # 2 : cost 0 0.544 * * [simplify]: Extracting # 3 : cost 0 0.544 * * [simplify]: Extracting # 4 : cost 0 0.545 * * [simplify]: iteration 1 : 251 enodes (cost 621 ) 0.662 * * [simplify]: Extracting # 0 : cost 0 0.663 * * [simplify]: Extracting # 1 : cost 0 0.664 * * [simplify]: Extracting # 2 : cost 0 0.665 * * [simplify]: Extracting # 3 : cost 0 0.666 * * [simplify]: Extracting # 4 : cost 0 0.667 * * [simplify]: iteration 2 : 954 enodes (cost 569 ) 1.025 * * [simplify]: Extracting # 0 : cost 0 1.042 * * [simplify]: Extracting # 1 : cost 0 1.049 * * [simplify]: Extracting # 2 : cost 0 1.056 * * [simplify]: Extracting # 3 : cost 0 1.062 * * [simplify]: Extracting # 4 : cost 0 1.069 * * [simplify]: iteration done: 5001 enodes (cost 545 ) 1.069 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (* im (pow im 3)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im))) (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (- re) (+ re im) (* 2 re) 0 (* (* +nan.0 (sqrt 2.0)) (+ (- im re) (- (* re re)))) (+ (- (* +nan.0 (sqrt 2.0))) (* (/ (sqrt 2.0) re) (- (/ +nan.0 re) +nan.0))) 0 1.070 * * * [progress]: adding candidates to table 1.308 * * [progress]: iteration 2 / 4 1.308 * * * [progress]: picking best candidate 1.339 * * * * [pick]: Picked # 1.339 * * * [progress]: localizing error 1.375 * * * [progress]: generating rewritten candidates 1.375 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.438 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.517 * * * [progress]: generating series expansions 1.517 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.517 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.517 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.517 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.517 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.518 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.518 * [taylor]: Taking taylor expansion of re in im 1.518 * [backup-simplify]: Simplify re into re 1.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.518 * [taylor]: Taking taylor expansion of im in im 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.518 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.518 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.518 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.519 * [backup-simplify]: Simplify (+ 0 0) into 0 1.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.519 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.519 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.519 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.519 * [taylor]: Taking taylor expansion of re in re 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.519 * [taylor]: Taking taylor expansion of im in re 1.519 * [backup-simplify]: Simplify im into im 1.519 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.520 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.520 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.520 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.520 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.521 * [taylor]: Taking taylor expansion of re in re 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.521 * [taylor]: Taking taylor expansion of im in re 1.521 * [backup-simplify]: Simplify im into im 1.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.521 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.521 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.521 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.522 * [backup-simplify]: Simplify (+ 0 0) into 0 1.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.522 * [taylor]: Taking taylor expansion of im in im 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [taylor]: Taking taylor expansion of 0 in im 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (* 1 1) into 1 1.523 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.524 * [backup-simplify]: Simplify (+ 1 0) into 1 1.524 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.524 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.525 * [taylor]: Taking taylor expansion of 1/2 in im 1.525 * [backup-simplify]: Simplify 1/2 into 1/2 1.525 * [taylor]: Taking taylor expansion of im in im 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.525 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.528 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.528 * [backup-simplify]: Simplify (+ 0 0) into 0 1.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.528 * [taylor]: Taking taylor expansion of 0 in im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.529 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.530 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.530 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.530 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.530 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.530 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.530 * [taylor]: Taking taylor expansion of im in im 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 1 into 1 1.531 * [backup-simplify]: Simplify (* 1 1) into 1 1.531 * [backup-simplify]: Simplify (/ 1 1) into 1 1.531 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.531 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.531 * [taylor]: Taking taylor expansion of re in im 1.531 * [backup-simplify]: Simplify re into re 1.531 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.531 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.532 * [backup-simplify]: Simplify (+ 1 0) into 1 1.532 * [backup-simplify]: Simplify (sqrt 1) into 1 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify (+ 0 0) into 0 1.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.535 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.535 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.535 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.535 * [taylor]: Taking taylor expansion of im in re 1.535 * [backup-simplify]: Simplify im into im 1.535 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.535 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.535 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.535 * [taylor]: Taking taylor expansion of re in re 1.535 * [backup-simplify]: Simplify 0 into 0 1.535 * [backup-simplify]: Simplify 1 into 1 1.536 * [backup-simplify]: Simplify (* 1 1) into 1 1.536 * [backup-simplify]: Simplify (/ 1 1) into 1 1.537 * [backup-simplify]: Simplify (+ 0 1) into 1 1.537 * [backup-simplify]: Simplify (sqrt 1) into 1 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.540 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.540 * [taylor]: Taking taylor expansion of im in re 1.540 * [backup-simplify]: Simplify im into im 1.540 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.540 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.540 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.540 * [taylor]: Taking taylor expansion of re in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (* 1 1) into 1 1.541 * [backup-simplify]: Simplify (/ 1 1) into 1 1.542 * [backup-simplify]: Simplify (+ 0 1) into 1 1.542 * [backup-simplify]: Simplify (sqrt 1) into 1 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.544 * [backup-simplify]: Simplify (+ 0 0) into 0 1.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.545 * [taylor]: Taking taylor expansion of 1 in im 1.545 * [backup-simplify]: Simplify 1 into 1 1.545 * [taylor]: Taking taylor expansion of 0 in im 1.545 * [backup-simplify]: Simplify 0 into 0 1.545 * [backup-simplify]: Simplify 1 into 1 1.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.548 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.548 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.548 * [taylor]: Taking taylor expansion of 1/2 in im 1.548 * [backup-simplify]: Simplify 1/2 into 1/2 1.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.548 * [taylor]: Taking taylor expansion of im in im 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 1 into 1 1.549 * [backup-simplify]: Simplify (* 1 1) into 1 1.549 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.554 * [backup-simplify]: Simplify (+ 0 0) into 0 1.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.555 * [taylor]: Taking taylor expansion of 0 in im 1.555 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify 0 into 0 1.557 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.558 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.558 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.558 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.558 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.558 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.558 * [taylor]: Taking taylor expansion of im in im 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 1 into 1 1.558 * [backup-simplify]: Simplify (* 1 1) into 1 1.559 * [backup-simplify]: Simplify (/ 1 1) into 1 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.559 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.559 * [taylor]: Taking taylor expansion of re in im 1.559 * [backup-simplify]: Simplify re into re 1.559 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.559 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.560 * [backup-simplify]: Simplify (+ 1 0) into 1 1.560 * [backup-simplify]: Simplify (sqrt 1) into 1 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.563 * [taylor]: Taking taylor expansion of im in re 1.563 * [backup-simplify]: Simplify im into im 1.563 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.564 * [backup-simplify]: Simplify (/ 1 1) into 1 1.564 * [backup-simplify]: Simplify (+ 0 1) into 1 1.565 * [backup-simplify]: Simplify (sqrt 1) into 1 1.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.566 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.567 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.567 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.567 * [taylor]: Taking taylor expansion of im in re 1.567 * [backup-simplify]: Simplify im into im 1.568 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.568 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.568 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.568 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [backup-simplify]: Simplify (+ 0 1) into 1 1.570 * [backup-simplify]: Simplify (sqrt 1) into 1 1.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.572 * [taylor]: Taking taylor expansion of 1 in im 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of 0 in im 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.574 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.576 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.576 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.576 * [taylor]: Taking taylor expansion of 1/2 in im 1.576 * [backup-simplify]: Simplify 1/2 into 1/2 1.576 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.576 * [taylor]: Taking taylor expansion of im in im 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify (* 1 1) into 1 1.577 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 0) into 0 1.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.582 * [taylor]: Taking taylor expansion of 0 in im 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.585 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.585 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.585 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.585 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.585 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.585 * [taylor]: Taking taylor expansion of re in im 1.585 * [backup-simplify]: Simplify re into re 1.585 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.585 * [taylor]: Taking taylor expansion of im in im 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 1 into 1 1.585 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.586 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.586 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.586 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.587 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.587 * [backup-simplify]: Simplify im into im 1.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.587 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.587 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.587 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.588 * [backup-simplify]: Simplify (+ 0 0) into 0 1.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.588 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.588 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.588 * [taylor]: Taking taylor expansion of re in re 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.588 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.588 * [taylor]: Taking taylor expansion of im in re 1.588 * [backup-simplify]: Simplify im into im 1.588 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.588 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.589 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.589 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.589 * [taylor]: Taking taylor expansion of im in im 1.589 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [taylor]: Taking taylor expansion of 0 in im 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 1 into 1 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.591 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.591 * [backup-simplify]: Simplify (+ 1 0) into 1 1.592 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.592 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.592 * [taylor]: Taking taylor expansion of 1/2 in im 1.592 * [backup-simplify]: Simplify 1/2 into 1/2 1.592 * [taylor]: Taking taylor expansion of im in im 1.592 * [backup-simplify]: Simplify 0 into 0 1.592 * [backup-simplify]: Simplify 1 into 1 1.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.595 * [backup-simplify]: Simplify (+ 0 0) into 0 1.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.596 * [taylor]: Taking taylor expansion of 0 in im 1.596 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.597 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.597 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.598 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.598 * [taylor]: Taking taylor expansion of im in im 1.598 * [backup-simplify]: Simplify 0 into 0 1.598 * [backup-simplify]: Simplify 1 into 1 1.598 * [backup-simplify]: Simplify (* 1 1) into 1 1.598 * [backup-simplify]: Simplify (/ 1 1) into 1 1.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.599 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.599 * [taylor]: Taking taylor expansion of re in im 1.599 * [backup-simplify]: Simplify re into re 1.599 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.599 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.599 * [backup-simplify]: Simplify (+ 1 0) into 1 1.600 * [backup-simplify]: Simplify (sqrt 1) into 1 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.602 * [backup-simplify]: Simplify (+ 0 0) into 0 1.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.602 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.602 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.602 * [taylor]: Taking taylor expansion of im in re 1.602 * [backup-simplify]: Simplify im into im 1.603 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.603 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.603 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.603 * [taylor]: Taking taylor expansion of re in re 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 1 into 1 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.604 * [backup-simplify]: Simplify (/ 1 1) into 1 1.604 * [backup-simplify]: Simplify (+ 0 1) into 1 1.605 * [backup-simplify]: Simplify (sqrt 1) into 1 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.607 * [taylor]: Taking taylor expansion of im in re 1.607 * [backup-simplify]: Simplify im into im 1.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.607 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.608 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.608 * [taylor]: Taking taylor expansion of re in re 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (* 1 1) into 1 1.608 * [backup-simplify]: Simplify (/ 1 1) into 1 1.609 * [backup-simplify]: Simplify (+ 0 1) into 1 1.609 * [backup-simplify]: Simplify (sqrt 1) into 1 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.612 * [taylor]: Taking taylor expansion of 1 in im 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [taylor]: Taking taylor expansion of 0 in im 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.616 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.616 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.616 * [taylor]: Taking taylor expansion of 1/2 in im 1.616 * [backup-simplify]: Simplify 1/2 into 1/2 1.616 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.616 * [taylor]: Taking taylor expansion of im in im 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.622 * [taylor]: Taking taylor expansion of 0 in im 1.622 * [backup-simplify]: Simplify 0 into 0 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.629 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.629 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.629 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.629 * [taylor]: Taking taylor expansion of im in im 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* 1 1) into 1 1.630 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.630 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.630 * [taylor]: Taking taylor expansion of re in im 1.630 * [backup-simplify]: Simplify re into re 1.630 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.630 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.630 * [backup-simplify]: Simplify (+ 1 0) into 1 1.631 * [backup-simplify]: Simplify (sqrt 1) into 1 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.632 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.632 * [taylor]: Taking taylor expansion of im in re 1.632 * [backup-simplify]: Simplify im into im 1.632 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.632 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.632 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.632 * [taylor]: Taking taylor expansion of re in re 1.632 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (+ 0 1) into 1 1.633 * [backup-simplify]: Simplify (sqrt 1) into 1 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.635 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.635 * [taylor]: Taking taylor expansion of im in re 1.635 * [backup-simplify]: Simplify im into im 1.635 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.635 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.635 * [taylor]: Taking taylor expansion of re in re 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (* 1 1) into 1 1.636 * [backup-simplify]: Simplify (/ 1 1) into 1 1.636 * [backup-simplify]: Simplify (+ 0 1) into 1 1.636 * [backup-simplify]: Simplify (sqrt 1) into 1 1.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.637 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.638 * [taylor]: Taking taylor expansion of 1 in im 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [taylor]: Taking taylor expansion of 0 in im 1.638 * [backup-simplify]: Simplify 0 into 0 1.638 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.639 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.640 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.640 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.640 * [taylor]: Taking taylor expansion of 1/2 in im 1.640 * [backup-simplify]: Simplify 1/2 into 1/2 1.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.640 * [taylor]: Taking taylor expansion of im in im 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.643 * [taylor]: Taking taylor expansion of 0 in im 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.645 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.645 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.645 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.645 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.645 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.645 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.645 * [taylor]: Taking taylor expansion of im in im 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.646 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.646 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.646 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.646 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.646 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.646 * [taylor]: Taking taylor expansion of re in re 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.646 * [taylor]: Taking taylor expansion of im in re 1.646 * [backup-simplify]: Simplify im into im 1.646 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.646 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.646 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.647 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.647 * [backup-simplify]: Simplify (+ 0 0) into 0 1.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.647 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.647 * [taylor]: Taking taylor expansion of re in re 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.647 * [taylor]: Taking taylor expansion of im in re 1.647 * [backup-simplify]: Simplify im into im 1.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.647 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.647 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.647 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.648 * [backup-simplify]: Simplify (+ 0 im) into im 1.648 * [taylor]: Taking taylor expansion of im in im 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify (+ 1 0) into 1 1.648 * [taylor]: Taking taylor expansion of 1 in im 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.649 * [backup-simplify]: Simplify (+ 1 0) into 1 1.650 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.650 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.650 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.650 * [taylor]: Taking taylor expansion of 1/2 in im 1.650 * [backup-simplify]: Simplify 1/2 into 1/2 1.650 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.650 * [taylor]: Taking taylor expansion of im in im 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.652 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in im 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.654 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.656 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.656 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.656 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.656 * [taylor]: Taking taylor expansion of re in im 1.656 * [backup-simplify]: Simplify re into re 1.656 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.656 * [taylor]: Taking taylor expansion of im in im 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.657 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.657 * [taylor]: Taking taylor expansion of re in im 1.657 * [backup-simplify]: Simplify re into re 1.657 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.657 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.658 * [backup-simplify]: Simplify (+ 1 0) into 1 1.658 * [backup-simplify]: Simplify (sqrt 1) into 1 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.661 * [taylor]: Taking taylor expansion of im in re 1.661 * [backup-simplify]: Simplify im into im 1.661 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.662 * [taylor]: Taking taylor expansion of re in re 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.663 * [backup-simplify]: Simplify (/ 1 1) into 1 1.663 * [backup-simplify]: Simplify (+ 0 1) into 1 1.663 * [backup-simplify]: Simplify (sqrt 1) into 1 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (+ 0 0) into 0 1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.666 * [taylor]: Taking taylor expansion of re in re 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.667 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.667 * [taylor]: Taking taylor expansion of im in re 1.667 * [backup-simplify]: Simplify im into im 1.667 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.667 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.667 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.667 * [taylor]: Taking taylor expansion of re in re 1.667 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify 1 into 1 1.668 * [backup-simplify]: Simplify (* 1 1) into 1 1.668 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [backup-simplify]: Simplify (+ 0 1) into 1 1.669 * [backup-simplify]: Simplify (sqrt 1) into 1 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.672 * [backup-simplify]: Simplify (+ 1 1) into 2 1.672 * [taylor]: Taking taylor expansion of 2 in im 1.672 * [backup-simplify]: Simplify 2 into 2 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (+ 0 0) into 0 1.673 * [taylor]: Taking taylor expansion of 0 in im 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify 2 into 2 1.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.676 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.678 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.678 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.678 * [taylor]: Taking taylor expansion of 1/2 in im 1.678 * [backup-simplify]: Simplify 1/2 into 1/2 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.678 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.678 * [taylor]: Taking taylor expansion of im in im 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.679 * [backup-simplify]: Simplify (* 1 1) into 1 1.679 * [backup-simplify]: Simplify (/ 1 1) into 1 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.684 * [backup-simplify]: Simplify (+ 0 0) into 0 1.684 * [taylor]: Taking taylor expansion of 0 in im 1.684 * [backup-simplify]: Simplify 0 into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.686 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.686 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.686 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.686 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.686 * [taylor]: Taking taylor expansion of im in im 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (/ 1 1) into 1 1.687 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.687 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.687 * [taylor]: Taking taylor expansion of re in im 1.687 * [backup-simplify]: Simplify re into re 1.687 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.687 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.687 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (sqrt 1) into 1 1.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.689 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.689 * [taylor]: Taking taylor expansion of re in im 1.689 * [backup-simplify]: Simplify re into re 1.689 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.689 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.689 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.689 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.689 * [taylor]: Taking taylor expansion of im in re 1.689 * [backup-simplify]: Simplify im into im 1.689 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.689 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.689 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.689 * [taylor]: Taking taylor expansion of re in re 1.689 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (* 1 1) into 1 1.690 * [backup-simplify]: Simplify (/ 1 1) into 1 1.690 * [backup-simplify]: Simplify (+ 0 1) into 1 1.690 * [backup-simplify]: Simplify (sqrt 1) into 1 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.692 * [taylor]: Taking taylor expansion of re in re 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (/ 1 1) into 1 1.692 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.692 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.692 * [taylor]: Taking taylor expansion of im in re 1.692 * [backup-simplify]: Simplify im into im 1.692 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.692 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.692 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.692 * [taylor]: Taking taylor expansion of re in re 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [backup-simplify]: Simplify (+ 0 1) into 1 1.693 * [backup-simplify]: Simplify (sqrt 1) into 1 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.695 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.695 * [taylor]: Taking taylor expansion of re in re 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (/ 1 1) into 1 1.695 * [backup-simplify]: Simplify (- 1) into -1 1.696 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.696 * [taylor]: Taking taylor expansion of 0 in im 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.696 * [backup-simplify]: Simplify (- 0) into 0 1.696 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [taylor]: Taking taylor expansion of 0 in im 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify 0 into 0 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.699 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.699 * [backup-simplify]: Simplify (- 0) into 0 1.699 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.699 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.699 * [taylor]: Taking taylor expansion of 1/2 in im 1.699 * [backup-simplify]: Simplify 1/2 into 1/2 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.699 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.700 * [taylor]: Taking taylor expansion of im in im 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [backup-simplify]: Simplify (* 1 1) into 1 1.700 * [backup-simplify]: Simplify (/ 1 1) into 1 1.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ 0 0) into 0 1.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (- 0) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [taylor]: Taking taylor expansion of 0 in im 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.707 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.708 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.708 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.708 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.708 * [taylor]: Taking taylor expansion of re in im 1.708 * [backup-simplify]: Simplify re into re 1.708 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.708 * [taylor]: Taking taylor expansion of im in im 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.708 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.708 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.709 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.709 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.709 * [backup-simplify]: Simplify (+ 0 0) into 0 1.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.709 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.709 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.709 * [taylor]: Taking taylor expansion of re in re 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.710 * [taylor]: Taking taylor expansion of im in re 1.710 * [backup-simplify]: Simplify im into im 1.710 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.710 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.710 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.710 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.711 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.711 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.711 * [taylor]: Taking taylor expansion of re in re 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.711 * [taylor]: Taking taylor expansion of im in re 1.711 * [backup-simplify]: Simplify im into im 1.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.711 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.711 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.712 * [taylor]: Taking taylor expansion of im in im 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [taylor]: Taking taylor expansion of 0 in im 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (* 1 1) into 1 1.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.714 * [backup-simplify]: Simplify (+ 1 0) into 1 1.714 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.714 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.715 * [taylor]: Taking taylor expansion of 1/2 in im 1.715 * [backup-simplify]: Simplify 1/2 into 1/2 1.715 * [taylor]: Taking taylor expansion of im in im 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.718 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.718 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.718 * [taylor]: Taking taylor expansion of 0 in im 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.720 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.720 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.720 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.720 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.720 * [taylor]: Taking taylor expansion of im in im 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 1 into 1 1.721 * [backup-simplify]: Simplify (* 1 1) into 1 1.721 * [backup-simplify]: Simplify (/ 1 1) into 1 1.721 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.721 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.721 * [taylor]: Taking taylor expansion of re in im 1.721 * [backup-simplify]: Simplify re into re 1.721 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.722 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.722 * [backup-simplify]: Simplify (+ 1 0) into 1 1.722 * [backup-simplify]: Simplify (sqrt 1) into 1 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.725 * [taylor]: Taking taylor expansion of im in re 1.725 * [backup-simplify]: Simplify im into im 1.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.725 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.725 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.725 * [taylor]: Taking taylor expansion of re in re 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.726 * [backup-simplify]: Simplify (* 1 1) into 1 1.726 * [backup-simplify]: Simplify (/ 1 1) into 1 1.727 * [backup-simplify]: Simplify (+ 0 1) into 1 1.727 * [backup-simplify]: Simplify (sqrt 1) into 1 1.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.729 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.729 * [taylor]: Taking taylor expansion of im in re 1.729 * [backup-simplify]: Simplify im into im 1.730 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.730 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.730 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.730 * [taylor]: Taking taylor expansion of re in re 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 1 into 1 1.730 * [backup-simplify]: Simplify (* 1 1) into 1 1.730 * [backup-simplify]: Simplify (/ 1 1) into 1 1.730 * [backup-simplify]: Simplify (+ 0 1) into 1 1.731 * [backup-simplify]: Simplify (sqrt 1) into 1 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.732 * [taylor]: Taking taylor expansion of 1 in im 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [taylor]: Taking taylor expansion of 0 in im 1.732 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.734 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.734 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.734 * [taylor]: Taking taylor expansion of 1/2 in im 1.734 * [backup-simplify]: Simplify 1/2 into 1/2 1.734 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.734 * [taylor]: Taking taylor expansion of im in im 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.735 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.736 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.738 * [taylor]: Taking taylor expansion of 0 in im 1.738 * [backup-simplify]: Simplify 0 into 0 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.740 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.740 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.740 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.740 * [taylor]: Taking taylor expansion of im in im 1.740 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify (* 1 1) into 1 1.740 * [backup-simplify]: Simplify (/ 1 1) into 1 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.740 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.740 * [taylor]: Taking taylor expansion of re in im 1.740 * [backup-simplify]: Simplify re into re 1.740 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.740 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.741 * [backup-simplify]: Simplify (+ 1 0) into 1 1.743 * [backup-simplify]: Simplify (sqrt 1) into 1 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.745 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.745 * [taylor]: Taking taylor expansion of im in re 1.745 * [backup-simplify]: Simplify im into im 1.745 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.745 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.745 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.745 * [taylor]: Taking taylor expansion of re in re 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (* 1 1) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [backup-simplify]: Simplify (+ 0 1) into 1 1.746 * [backup-simplify]: Simplify (sqrt 1) into 1 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.748 * [taylor]: Taking taylor expansion of im in re 1.748 * [backup-simplify]: Simplify im into im 1.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.748 * [taylor]: Taking taylor expansion of re in re 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1 1) into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [backup-simplify]: Simplify (+ 0 1) into 1 1.749 * [backup-simplify]: Simplify (sqrt 1) into 1 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.751 * [taylor]: Taking taylor expansion of 1 in im 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [taylor]: Taking taylor expansion of 0 in im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.753 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.753 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.753 * [taylor]: Taking taylor expansion of 1/2 in im 1.753 * [backup-simplify]: Simplify 1/2 into 1/2 1.753 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.753 * [taylor]: Taking taylor expansion of im in im 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [backup-simplify]: Simplify (* 1 1) into 1 1.753 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.756 * [taylor]: Taking taylor expansion of 0 in im 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.758 * * * [progress]: simplifying candidates 1.763 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1/2 2) (/ 1/2 2)) (+ (/ 1/2 2) (/ (/ 1 2) 2)) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (+ (/ (/ 1 2) 2) (/ 1/2 2)) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ 1 1) (+ (log (sqrt (sqrt (+ (* re re) (* im im))))) (log (sqrt (sqrt (+ (* re re) (* im im)))))) (log (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))))) (cbrt (* (sqrt (sqrt (+ (* 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1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt 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re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2 1/2) (* 2 1) (* 2 (/ 1/2 2)) (* 2 (/ 1 2)) (* 2 (/ (/ 1 2) 2)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) 1.770 * * [simplify]: Extracting # 0 : cost 0 1.770 * * [simplify]: Extracting # 1 : cost 0 1.770 * * [simplify]: Extracting # 2 : cost 0 1.771 * * [simplify]: Extracting # 3 : cost 0 1.771 * * [simplify]: Extracting # 4 : cost 0 1.771 * * [simplify]: Extracting # 5 : cost 0 1.772 * * [simplify]: Extracting # 6 : cost 0 1.772 * * [simplify]: Extracting # 7 : cost 0 1.772 * * [simplify]: iteration 0 : 133 enodes (cost 3041 ) 1.823 * * [simplify]: Extracting # 0 : cost 0 1.823 * * [simplify]: Extracting # 1 : cost 0 1.824 * * [simplify]: Extracting # 2 : cost 0 1.824 * * [simplify]: Extracting # 3 : cost 0 1.824 * * [simplify]: Extracting # 4 : cost 0 1.825 * * [simplify]: Extracting # 5 : cost 0 1.825 * * [simplify]: iteration 1 : 300 enodes (cost 1750 ) 1.966 * * [simplify]: Extracting # 0 : cost 0 1.969 * * [simplify]: Extracting # 1 : cost 0 1.971 * * [simplify]: Extracting # 2 : cost 0 1.973 * * [simplify]: Extracting # 3 : cost 0 1.975 * * [simplify]: Extracting # 4 : cost 0 1.978 * * [simplify]: Extracting # 5 : cost 0 1.980 * * [simplify]: iteration 2 : 1110 enodes (cost 1579 ) 2.844 * * [simplify]: Extracting # 0 : cost 0 2.873 * * [simplify]: Extracting # 1 : cost 0 2.883 * * [simplify]: Extracting # 2 : cost 0 2.889 * * [simplify]: Extracting # 3 : cost 0 2.895 * * [simplify]: Extracting # 4 : cost 0 2.904 * * [simplify]: iteration done: 5000 enodes (cost 1544 ) 2.905 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* im im) (* re re))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* im im) (* re re))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) 1 1 2 1/2 1/2 1 1 1/2 1/2 (+ (* im im) (* re re)) (sqrt (+ (* im im) (* re re))) (pow (sqrt (+ (* im im) (* re re))) (+ 3 1)) (+ (* im im) (* re re)) (pow (sqrt (+ (* im im) (* re re))) (+ 3 1)) 2 (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* im im) (* re re))) 3) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* im im) (* re re))) 3) (+ (* im im) (* re re)) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (* (sqrt (sqrt (- (pow re 4) (* (pow im 3) im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (* (sqrt (sqrt (- (pow re 4) (* (pow im 3) im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)))) (sqrt (sqrt (- (* re re) (* im im))))) (sqrt (- (pow re 4) (* (pow im 3) im))) (sqrt (- (* re re) (* im im))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (+ 3 1)) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 2 1/2 1 1/2 (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (+ 3 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* im im) (* re re)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* im im) (* re re)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* im im) (* re re)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (+ 3 1)) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* im im) (* re re))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* im im) (* re re))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* im im) (* re re))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (* (pow im 3) im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (* (pow im 3) im))))) im re (- re) im re (- re) (+ re im) (* 2 re) 0 im re (- re) 2.906 * * * [progress]: adding candidates to table 3.449 * * [progress]: iteration 3 / 4 3.449 * * * [progress]: picking best candidate 3.465 * * * * [pick]: Picked # 3.466 * * * [progress]: localizing error 3.484 * * * [progress]: generating rewritten candidates 3.484 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1 2) 3.492 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 3.526 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.582 * * * [progress]: generating series expansions 3.583 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1 2) 3.583 * [backup-simplify]: Simplify (sqrt (+ (* im im) (* re re))) into (sqrt (+ (pow re 2) (pow im 2))) 3.583 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (im re) around 0 3.583 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.583 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.583 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.583 * [taylor]: Taking taylor expansion of re in re 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.583 * [taylor]: Taking taylor expansion of im in re 3.583 * [backup-simplify]: Simplify im into im 3.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.583 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.583 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.584 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.584 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.584 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.584 * [taylor]: Taking taylor expansion of re in im 3.584 * [backup-simplify]: Simplify re into re 3.584 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.584 * [taylor]: Taking taylor expansion of im in im 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.584 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.584 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.584 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.585 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.585 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.585 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.585 * [taylor]: Taking taylor expansion of re in im 3.585 * [backup-simplify]: Simplify re into re 3.585 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.585 * [taylor]: Taking taylor expansion of im in im 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.585 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.585 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.585 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.585 * [backup-simplify]: Simplify (+ 0 0) into 0 3.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.585 * [taylor]: Taking taylor expansion of re in re 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [backup-simplify]: Simplify 1 into 1 3.585 * [backup-simplify]: Simplify 0 into 0 3.585 * [taylor]: Taking taylor expansion of 0 in re 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.586 * [backup-simplify]: Simplify (* 1 1) into 1 3.586 * [backup-simplify]: Simplify (+ 0 1) into 1 3.587 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.587 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 3.587 * [taylor]: Taking taylor expansion of 1/2 in re 3.587 * [backup-simplify]: Simplify 1/2 into 1/2 3.587 * [taylor]: Taking taylor expansion of re in re 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.589 * [backup-simplify]: Simplify (+ 0 0) into 0 3.589 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.589 * [taylor]: Taking taylor expansion of 0 in re 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify (* 1 (* re 1)) into re 3.590 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.590 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (im re) around 0 3.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.590 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.590 * [taylor]: Taking taylor expansion of im in re 3.590 * [backup-simplify]: Simplify im into im 3.590 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.590 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.590 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.590 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.590 * [taylor]: Taking taylor expansion of re in re 3.590 * [backup-simplify]: Simplify 0 into 0 3.590 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (* 1 1) into 1 3.591 * [backup-simplify]: Simplify (/ 1 1) into 1 3.591 * [backup-simplify]: Simplify (+ 0 1) into 1 3.591 * [backup-simplify]: Simplify (sqrt 1) into 1 3.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.593 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.593 * [taylor]: Taking taylor expansion of im in im 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 1 into 1 3.593 * [backup-simplify]: Simplify (* 1 1) into 1 3.593 * [backup-simplify]: Simplify (/ 1 1) into 1 3.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.593 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.593 * [taylor]: Taking taylor expansion of re in im 3.593 * [backup-simplify]: Simplify re into re 3.593 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.593 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.594 * [backup-simplify]: Simplify (+ 1 0) into 1 3.594 * [backup-simplify]: Simplify (sqrt 1) into 1 3.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.595 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.595 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.595 * [taylor]: Taking taylor expansion of im in im 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (* 1 1) into 1 3.596 * [backup-simplify]: Simplify (/ 1 1) into 1 3.596 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.596 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.596 * [taylor]: Taking taylor expansion of re in im 3.596 * [backup-simplify]: Simplify re into re 3.596 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.596 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.596 * [backup-simplify]: Simplify (+ 1 0) into 1 3.597 * [backup-simplify]: Simplify (sqrt 1) into 1 3.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (+ 0 0) into 0 3.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.598 * [taylor]: Taking taylor expansion of 1 in re 3.598 * [backup-simplify]: Simplify 1 into 1 3.598 * [taylor]: Taking taylor expansion of 0 in re 3.598 * [backup-simplify]: Simplify 0 into 0 3.598 * [backup-simplify]: Simplify 1 into 1 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.600 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.600 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 3.600 * [taylor]: Taking taylor expansion of 1/2 in re 3.600 * [backup-simplify]: Simplify 1/2 into 1/2 3.600 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.600 * [taylor]: Taking taylor expansion of re in re 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (* 1 1) into 1 3.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.603 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.604 * [taylor]: Taking taylor expansion of 0 in re 3.604 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 im)))) into im 3.606 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.606 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (im re) around 0 3.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.606 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.606 * [taylor]: Taking taylor expansion of im in re 3.606 * [backup-simplify]: Simplify im into im 3.606 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.606 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.606 * [taylor]: Taking taylor expansion of re in re 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (* 1 1) into 1 3.606 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [backup-simplify]: Simplify (+ 0 1) into 1 3.607 * [backup-simplify]: Simplify (sqrt 1) into 1 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.608 * [taylor]: Taking taylor expansion of im in im 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 1 into 1 3.609 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (/ 1 1) into 1 3.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.609 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.609 * [taylor]: Taking taylor expansion of re in im 3.609 * [backup-simplify]: Simplify re into re 3.609 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.610 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.610 * [backup-simplify]: Simplify (+ 1 0) into 1 3.610 * [backup-simplify]: Simplify (sqrt 1) into 1 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.613 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.613 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.613 * [taylor]: Taking taylor expansion of im in im 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.614 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.614 * [taylor]: Taking taylor expansion of re in im 3.614 * [backup-simplify]: Simplify re into re 3.614 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.614 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.615 * [backup-simplify]: Simplify (+ 1 0) into 1 3.615 * [backup-simplify]: Simplify (sqrt 1) into 1 3.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.617 * [backup-simplify]: Simplify (+ 0 0) into 0 3.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.618 * [taylor]: Taking taylor expansion of 1 in re 3.618 * [backup-simplify]: Simplify 1 into 1 3.618 * [taylor]: Taking taylor expansion of 0 in re 3.618 * [backup-simplify]: Simplify 0 into 0 3.618 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.621 * [taylor]: Taking taylor expansion of (/ 1/2 (pow re 2)) in re 3.621 * [taylor]: Taking taylor expansion of 1/2 in re 3.621 * [backup-simplify]: Simplify 1/2 into 1/2 3.621 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.621 * [taylor]: Taking taylor expansion of re in re 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.622 * [backup-simplify]: Simplify (* 1 1) into 1 3.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.626 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.627 * [backup-simplify]: Simplify (+ 0 0) into 0 3.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.627 * [taylor]: Taking taylor expansion of 0 in re 3.627 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- im))))) into (* -1 im) 3.630 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 3.630 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 3.630 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (im re) around 0 3.631 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.631 * [taylor]: Taking taylor expansion of re in re 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.631 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.631 * [taylor]: Taking taylor expansion of re in re 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.631 * [taylor]: Taking taylor expansion of im in re 3.631 * [backup-simplify]: Simplify im into im 3.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.631 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.631 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.631 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.632 * [backup-simplify]: Simplify (+ 0 0) into 0 3.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.632 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.632 * [taylor]: Taking taylor expansion of re in im 3.632 * [backup-simplify]: Simplify re into re 3.632 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.632 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.632 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.632 * [taylor]: Taking taylor expansion of re in im 3.632 * [backup-simplify]: Simplify re into re 3.632 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.632 * [taylor]: Taking taylor expansion of im in im 3.632 * [backup-simplify]: Simplify 0 into 0 3.632 * [backup-simplify]: Simplify 1 into 1 3.632 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.633 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.633 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.633 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.633 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.633 * [taylor]: Taking taylor expansion of re in im 3.633 * [backup-simplify]: Simplify re into re 3.633 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.633 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.633 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.634 * [taylor]: Taking taylor expansion of re in im 3.634 * [backup-simplify]: Simplify re into re 3.634 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.634 * [taylor]: Taking taylor expansion of im in im 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.634 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.634 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.634 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.634 * [backup-simplify]: Simplify (+ 0 0) into 0 3.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.635 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.635 * [taylor]: Taking taylor expansion of (* 2 re) in re 3.635 * [taylor]: Taking taylor expansion of 2 in re 3.635 * [backup-simplify]: Simplify 2 into 2 3.635 * [taylor]: Taking taylor expansion of re in re 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (* 2 0) into 0 3.635 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify (+ 0 0) into 0 3.636 * [taylor]: Taking taylor expansion of 0 in re 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 3.637 * [backup-simplify]: Simplify 2 into 2 3.637 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.637 * [backup-simplify]: Simplify (* 1 1) into 1 3.638 * [backup-simplify]: Simplify (+ 0 1) into 1 3.639 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.639 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 3.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 3.639 * [taylor]: Taking taylor expansion of 1/2 in re 3.639 * [backup-simplify]: Simplify 1/2 into 1/2 3.639 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.639 * [taylor]: Taking taylor expansion of re in re 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 3.642 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [taylor]: Taking taylor expansion of 0 in re 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 3.646 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.646 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (im re) around 0 3.646 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.646 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.646 * [taylor]: Taking taylor expansion of re in re 3.646 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify 1 into 1 3.646 * [backup-simplify]: Simplify (/ 1 1) into 1 3.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.647 * [taylor]: Taking taylor expansion of im in re 3.647 * [backup-simplify]: Simplify im into im 3.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.647 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.647 * [taylor]: Taking taylor expansion of re in re 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.647 * [backup-simplify]: Simplify (* 1 1) into 1 3.647 * [backup-simplify]: Simplify (/ 1 1) into 1 3.648 * [backup-simplify]: Simplify (+ 0 1) into 1 3.648 * [backup-simplify]: Simplify (sqrt 1) into 1 3.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (+ 0 0) into 0 3.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.649 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.649 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.649 * [taylor]: Taking taylor expansion of re in im 3.649 * [backup-simplify]: Simplify re into re 3.649 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.650 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.650 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.650 * [taylor]: Taking taylor expansion of im in im 3.650 * [backup-simplify]: Simplify 0 into 0 3.650 * [backup-simplify]: Simplify 1 into 1 3.650 * [backup-simplify]: Simplify (* 1 1) into 1 3.650 * [backup-simplify]: Simplify (/ 1 1) into 1 3.650 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.650 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.650 * [taylor]: Taking taylor expansion of re in im 3.650 * [backup-simplify]: Simplify re into re 3.650 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.650 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.651 * [backup-simplify]: Simplify (+ 1 0) into 1 3.651 * [backup-simplify]: Simplify (sqrt 1) into 1 3.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (+ 0 0) into 0 3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.652 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.652 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.652 * [taylor]: Taking taylor expansion of re in im 3.652 * [backup-simplify]: Simplify re into re 3.653 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.653 * [taylor]: Taking taylor expansion of im in im 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.653 * [backup-simplify]: Simplify (* 1 1) into 1 3.653 * [backup-simplify]: Simplify (/ 1 1) into 1 3.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.653 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.653 * [taylor]: Taking taylor expansion of re in im 3.653 * [backup-simplify]: Simplify re into re 3.653 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.653 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.654 * [backup-simplify]: Simplify (+ 1 0) into 1 3.654 * [backup-simplify]: Simplify (sqrt 1) into 1 3.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (+ 0 0) into 0 3.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.659 * [backup-simplify]: Simplify (+ 0 1) into 1 3.659 * [taylor]: Taking taylor expansion of 1 in re 3.659 * [backup-simplify]: Simplify 1 into 1 3.659 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 3.659 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.659 * [taylor]: Taking taylor expansion of re in re 3.659 * [backup-simplify]: Simplify 0 into 0 3.659 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (/ 1 1) into 1 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.661 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.662 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.662 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.662 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 3.662 * [taylor]: Taking taylor expansion of 1/2 in re 3.662 * [backup-simplify]: Simplify 1/2 into 1/2 3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.662 * [taylor]: Taking taylor expansion of re in re 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (* 1 1) into 1 3.663 * [backup-simplify]: Simplify (/ 1 1) into 1 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.666 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.667 * [backup-simplify]: Simplify (+ 0 0) into 0 3.667 * [taylor]: Taking taylor expansion of 0 in re 3.667 * [backup-simplify]: Simplify 0 into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify 0 into 0 3.669 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 3.670 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re)))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.670 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (im re) around 0 3.670 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.670 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.670 * [taylor]: Taking taylor expansion of im in re 3.670 * [backup-simplify]: Simplify im into im 3.670 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.670 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.670 * [taylor]: Taking taylor expansion of re in re 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.671 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [backup-simplify]: Simplify (+ 0 1) into 1 3.671 * [backup-simplify]: Simplify (sqrt 1) into 1 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ 0 0) into 0 3.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.673 * [taylor]: Taking taylor expansion of re in re 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (/ 1 1) into 1 3.673 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.673 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.673 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.673 * [taylor]: Taking taylor expansion of im in im 3.673 * [backup-simplify]: Simplify 0 into 0 3.673 * [backup-simplify]: Simplify 1 into 1 3.673 * [backup-simplify]: Simplify (* 1 1) into 1 3.674 * [backup-simplify]: Simplify (/ 1 1) into 1 3.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.674 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.674 * [taylor]: Taking taylor expansion of re in im 3.674 * [backup-simplify]: Simplify re into re 3.674 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.674 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.674 * [backup-simplify]: Simplify (+ 1 0) into 1 3.674 * [backup-simplify]: Simplify (sqrt 1) into 1 3.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (+ 0 0) into 0 3.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.676 * [taylor]: Taking taylor expansion of re in im 3.676 * [backup-simplify]: Simplify re into re 3.676 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.676 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.676 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.676 * [taylor]: Taking taylor expansion of im in im 3.676 * [backup-simplify]: Simplify 0 into 0 3.676 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (* 1 1) into 1 3.677 * [backup-simplify]: Simplify (/ 1 1) into 1 3.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.677 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.677 * [taylor]: Taking taylor expansion of re in im 3.677 * [backup-simplify]: Simplify re into re 3.677 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.677 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.677 * [backup-simplify]: Simplify (+ 1 0) into 1 3.677 * [backup-simplify]: Simplify (sqrt 1) into 1 3.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.678 * [backup-simplify]: Simplify (+ 0 0) into 0 3.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.679 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.679 * [taylor]: Taking taylor expansion of re in im 3.679 * [backup-simplify]: Simplify re into re 3.679 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.679 * [backup-simplify]: Simplify (+ 1 0) into 1 3.679 * [taylor]: Taking taylor expansion of 1 in re 3.679 * [backup-simplify]: Simplify 1 into 1 3.679 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.679 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.679 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 3.679 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.679 * [taylor]: Taking taylor expansion of re in re 3.679 * [backup-simplify]: Simplify 0 into 0 3.679 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (/ 1 1) into 1 3.680 * [backup-simplify]: Simplify (- 1) into -1 3.680 * [backup-simplify]: Simplify -1 into -1 3.680 * [backup-simplify]: Simplify 1 into 1 3.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.683 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.683 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 3.683 * [taylor]: Taking taylor expansion of 1/2 in re 3.683 * [backup-simplify]: Simplify 1/2 into 1/2 3.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.684 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.684 * [taylor]: Taking taylor expansion of re in re 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [backup-simplify]: Simplify (* 1 1) into 1 3.684 * [backup-simplify]: Simplify (/ 1 1) into 1 3.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.686 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.688 * [backup-simplify]: Simplify (- 0) into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.688 * [backup-simplify]: Simplify 0 into 0 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.690 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.690 * [backup-simplify]: Simplify (+ 0 0) into 0 3.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 3.692 * [backup-simplify]: Simplify (- 0) into 0 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.692 * [taylor]: Taking taylor expansion of 0 in re 3.692 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify (- 0) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* -1 (* (/ 1 (/ 1 (- re))) 1))) into (- re im) 3.697 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 3.698 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 3.698 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (im re) around 0 3.698 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 3.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.698 * [taylor]: Taking taylor expansion of 2.0 in re 3.698 * [backup-simplify]: Simplify 2.0 into 2.0 3.698 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.699 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 3.699 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.699 * [taylor]: Taking taylor expansion of re in re 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.699 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.699 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.699 * [taylor]: Taking taylor expansion of re in re 3.699 * [backup-simplify]: Simplify 0 into 0 3.699 * [backup-simplify]: Simplify 1 into 1 3.699 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.699 * [taylor]: Taking taylor expansion of im in re 3.699 * [backup-simplify]: Simplify im into im 3.699 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.699 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.700 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.700 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.700 * [backup-simplify]: Simplify (+ 0 0) into 0 3.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 im) into im 3.701 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.701 * [backup-simplify]: Simplify (+ 1 0) into 1 3.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.701 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.701 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.701 * [taylor]: Taking taylor expansion of 2.0 in im 3.701 * [backup-simplify]: Simplify 2.0 into 2.0 3.702 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.702 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.703 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.703 * [taylor]: Taking taylor expansion of re in im 3.703 * [backup-simplify]: Simplify re into re 3.703 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.703 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.703 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.703 * [taylor]: Taking taylor expansion of re in im 3.703 * [backup-simplify]: Simplify re into re 3.703 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.703 * [taylor]: Taking taylor expansion of im in im 3.703 * [backup-simplify]: Simplify 0 into 0 3.703 * [backup-simplify]: Simplify 1 into 1 3.703 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.703 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.703 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.703 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.704 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.704 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.705 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.705 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.705 * [taylor]: Taking taylor expansion of 2.0 in im 3.705 * [backup-simplify]: Simplify 2.0 into 2.0 3.705 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.706 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.706 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.706 * [taylor]: Taking taylor expansion of re in im 3.706 * [backup-simplify]: Simplify re into re 3.706 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.706 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.706 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.706 * [taylor]: Taking taylor expansion of re in im 3.706 * [backup-simplify]: Simplify re into re 3.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.706 * [taylor]: Taking taylor expansion of im in im 3.706 * [backup-simplify]: Simplify 0 into 0 3.706 * [backup-simplify]: Simplify 1 into 1 3.706 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.706 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.707 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.707 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.707 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.707 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.709 * [backup-simplify]: Simplify (* (sqrt 2.0) (* (sqrt re) (sqrt 2))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 3.709 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 3.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 3.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.709 * [taylor]: Taking taylor expansion of 2.0 in re 3.709 * [backup-simplify]: Simplify 2.0 into 2.0 3.709 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.710 * [taylor]: Taking taylor expansion of (sqrt 2) in re 3.710 * [taylor]: Taking taylor expansion of 2 in re 3.710 * [backup-simplify]: Simplify 2 into 2 3.711 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.711 * [taylor]: Taking taylor expansion of (sqrt re) in re 3.711 * [taylor]: Taking taylor expansion of re in re 3.711 * [backup-simplify]: Simplify 0 into 0 3.711 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (sqrt 0) into 0 3.713 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.714 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 3.715 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 3.715 * [backup-simplify]: Simplify 0 into 0 3.716 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0 3.717 * [taylor]: Taking taylor expansion of 0 in re 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 3.721 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.724 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.725 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.725 * [backup-simplify]: Simplify (* 1 1) into 1 3.725 * [backup-simplify]: Simplify (+ 0 1) into 1 3.726 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.726 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 3.728 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 3.729 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.731 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 3.731 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 3.731 * [taylor]: Taking taylor expansion of 1/4 in re 3.731 * [backup-simplify]: Simplify 1/4 into 1/4 3.731 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 3.731 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 3.731 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.731 * [taylor]: Taking taylor expansion of 2.0 in re 3.731 * [backup-simplify]: Simplify 2.0 into 2.0 3.732 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.732 * [taylor]: Taking taylor expansion of (sqrt 2) in re 3.733 * [taylor]: Taking taylor expansion of 2 in re 3.733 * [backup-simplify]: Simplify 2 into 2 3.733 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 3.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 3.735 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 3.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 3.735 * [taylor]: Taking taylor expansion of (pow re 3) in re 3.735 * [taylor]: Taking taylor expansion of re in re 3.735 * [backup-simplify]: Simplify 0 into 0 3.735 * [backup-simplify]: Simplify 1 into 1 3.735 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (* 1 1) into 1 3.736 * [backup-simplify]: Simplify (/ 1 1) into 1 3.737 * [backup-simplify]: Simplify (sqrt 0) into 0 3.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.743 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.744 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 3.745 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.748 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 3.753 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.757 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.757 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 3.766 * [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)))) 3.769 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 3.769 * [backup-simplify]: Simplify 0 into 0 3.773 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.774 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 3.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.776 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 3.781 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.784 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 3.798 * [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))))))))) 3.799 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 im) (/ 1 im)) (* (/ 1 re) (/ 1 re))))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 3.799 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (im re) around 0 3.799 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 3.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.799 * [taylor]: Taking taylor expansion of 2.0 in re 3.799 * [backup-simplify]: Simplify 2.0 into 2.0 3.799 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.800 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.800 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.800 * [taylor]: Taking taylor expansion of re in re 3.800 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify 1 into 1 3.801 * [backup-simplify]: Simplify (/ 1 1) into 1 3.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.801 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.801 * [taylor]: Taking taylor expansion of im in re 3.801 * [backup-simplify]: Simplify im into im 3.801 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.802 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.802 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.802 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.802 * [taylor]: Taking taylor expansion of re in re 3.802 * [backup-simplify]: Simplify 0 into 0 3.802 * [backup-simplify]: Simplify 1 into 1 3.802 * [backup-simplify]: Simplify (* 1 1) into 1 3.802 * [backup-simplify]: Simplify (/ 1 1) into 1 3.803 * [backup-simplify]: Simplify (+ 0 1) into 1 3.803 * [backup-simplify]: Simplify (sqrt 1) into 1 3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.805 * [backup-simplify]: Simplify (+ 0 0) into 0 3.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.806 * [backup-simplify]: Simplify (+ 1 1) into 2 3.806 * [backup-simplify]: Simplify (sqrt 0) into 0 3.808 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.808 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.808 * [taylor]: Taking taylor expansion of 2.0 in im 3.808 * [backup-simplify]: Simplify 2.0 into 2.0 3.808 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.809 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.809 * [taylor]: Taking taylor expansion of re in im 3.809 * [backup-simplify]: Simplify re into re 3.809 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.809 * [taylor]: Taking taylor expansion of im in im 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.810 * [backup-simplify]: Simplify (* 1 1) into 1 3.810 * [backup-simplify]: Simplify (/ 1 1) into 1 3.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.810 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.810 * [taylor]: Taking taylor expansion of re in im 3.810 * [backup-simplify]: Simplify re into re 3.811 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.811 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.811 * [backup-simplify]: Simplify (+ 1 0) into 1 3.812 * [backup-simplify]: Simplify (sqrt 1) into 1 3.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.813 * [backup-simplify]: Simplify (+ 0 0) into 0 3.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.814 * [backup-simplify]: Simplify (+ 0 1) into 1 3.814 * [backup-simplify]: Simplify (sqrt 0) into 0 3.815 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.815 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.815 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.815 * [taylor]: Taking taylor expansion of 2.0 in im 3.815 * [backup-simplify]: Simplify 2.0 into 2.0 3.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.815 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.815 * [taylor]: Taking taylor expansion of re in im 3.815 * [backup-simplify]: Simplify re into re 3.815 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.816 * [taylor]: Taking taylor expansion of im in im 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.816 * [backup-simplify]: Simplify (* 1 1) into 1 3.816 * [backup-simplify]: Simplify (/ 1 1) into 1 3.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.816 * [taylor]: Taking taylor expansion of re in im 3.816 * [backup-simplify]: Simplify re into re 3.816 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.816 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.817 * [backup-simplify]: Simplify (+ 1 0) into 1 3.817 * [backup-simplify]: Simplify (sqrt 1) into 1 3.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.818 * [backup-simplify]: Simplify (+ 0 0) into 0 3.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.819 * [backup-simplify]: Simplify (+ 0 1) into 1 3.819 * [backup-simplify]: Simplify (sqrt 0) into 0 3.820 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.820 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.820 * [taylor]: Taking taylor expansion of 0 in re 3.820 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.821 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.821 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.821 * [taylor]: Taking taylor expansion of +nan.0 in re 3.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.821 * [taylor]: Taking taylor expansion of 2.0 in re 3.821 * [backup-simplify]: Simplify 2.0 into 2.0 3.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.822 * [backup-simplify]: Simplify 0 into 0 3.822 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 3.823 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 3.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.824 * [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))))) 3.824 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.824 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.824 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.824 * [taylor]: Taking taylor expansion of +nan.0 in re 3.824 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.824 * [taylor]: Taking taylor expansion of 2.0 in re 3.824 * [backup-simplify]: Simplify 2.0 into 2.0 3.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.825 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.825 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.825 * [taylor]: Taking taylor expansion of +nan.0 in re 3.825 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.825 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.825 * [taylor]: Taking taylor expansion of 2.0 in re 3.825 * [backup-simplify]: Simplify 2.0 into 2.0 3.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.826 * [taylor]: Taking taylor expansion of re in re 3.826 * [backup-simplify]: Simplify 0 into 0 3.826 * [backup-simplify]: Simplify 1 into 1 3.826 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.827 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.828 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.829 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.830 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.831 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.832 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.833 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.834 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.834 * [backup-simplify]: Simplify 0 into 0 3.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.835 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.836 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.836 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.837 * [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)))) 3.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.839 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 3.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 3.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 3.839 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.839 * [taylor]: Taking taylor expansion of +nan.0 in re 3.839 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.839 * [taylor]: Taking taylor expansion of 2.0 in re 3.839 * [backup-simplify]: Simplify 2.0 into 2.0 3.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.839 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.839 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.840 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.840 * [taylor]: Taking taylor expansion of +nan.0 in re 3.840 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.840 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.840 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.840 * [taylor]: Taking taylor expansion of 2.0 in re 3.840 * [backup-simplify]: Simplify 2.0 into 2.0 3.840 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.840 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.840 * [taylor]: Taking taylor expansion of re in re 3.840 * [backup-simplify]: Simplify 0 into 0 3.840 * [backup-simplify]: Simplify 1 into 1 3.841 * [backup-simplify]: Simplify (* 1 1) into 1 3.841 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.841 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.841 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.841 * [taylor]: Taking taylor expansion of +nan.0 in re 3.841 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.841 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.841 * [taylor]: Taking taylor expansion of 2.0 in re 3.841 * [backup-simplify]: Simplify 2.0 into 2.0 3.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.842 * [taylor]: Taking taylor expansion of re in re 3.842 * [backup-simplify]: Simplify 0 into 0 3.842 * [backup-simplify]: Simplify 1 into 1 3.842 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.844 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.844 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.845 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.847 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.848 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.849 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.850 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.851 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.854 * [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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 3.855 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* (/ 1 (- im)) (/ 1 (- im))) (* (/ 1 (- re)) (/ 1 (- re)))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 3.855 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (im re) around 0 3.855 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 3.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.855 * [taylor]: Taking taylor expansion of 2.0 in re 3.855 * [backup-simplify]: Simplify 2.0 into 2.0 3.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.856 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 3.856 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.856 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.856 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.856 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.856 * [taylor]: Taking taylor expansion of im in re 3.856 * [backup-simplify]: Simplify im into im 3.856 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.856 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.856 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.856 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.856 * [taylor]: Taking taylor expansion of re in re 3.856 * [backup-simplify]: Simplify 0 into 0 3.856 * [backup-simplify]: Simplify 1 into 1 3.856 * [backup-simplify]: Simplify (* 1 1) into 1 3.857 * [backup-simplify]: Simplify (/ 1 1) into 1 3.857 * [backup-simplify]: Simplify (+ 0 1) into 1 3.857 * [backup-simplify]: Simplify (sqrt 1) into 1 3.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.858 * [backup-simplify]: Simplify (+ 0 0) into 0 3.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.859 * [taylor]: Taking taylor expansion of re in re 3.859 * [backup-simplify]: Simplify 0 into 0 3.859 * [backup-simplify]: Simplify 1 into 1 3.859 * [backup-simplify]: Simplify (/ 1 1) into 1 3.859 * [backup-simplify]: Simplify (- 1) into -1 3.859 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (- 0) into 0 3.860 * [backup-simplify]: Simplify (+ 0 0) into 0 3.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.862 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.862 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify (- 0) into 0 3.863 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.864 * [backup-simplify]: Simplify (sqrt 0) into 0 3.864 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.864 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.864 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.864 * [taylor]: Taking taylor expansion of 2.0 in im 3.864 * [backup-simplify]: Simplify 2.0 into 2.0 3.864 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.865 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.865 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.865 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.865 * [taylor]: Taking taylor expansion of im in im 3.865 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify 1 into 1 3.865 * [backup-simplify]: Simplify (* 1 1) into 1 3.865 * [backup-simplify]: Simplify (/ 1 1) into 1 3.865 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.865 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.865 * [taylor]: Taking taylor expansion of re in im 3.865 * [backup-simplify]: Simplify re into re 3.865 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.866 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.866 * [backup-simplify]: Simplify (+ 1 0) into 1 3.866 * [backup-simplify]: Simplify (sqrt 1) into 1 3.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.867 * [backup-simplify]: Simplify (+ 0 0) into 0 3.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.868 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.868 * [taylor]: Taking taylor expansion of re in im 3.868 * [backup-simplify]: Simplify re into re 3.868 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.868 * [backup-simplify]: Simplify (+ 1 0) into 1 3.868 * [backup-simplify]: Simplify (sqrt 0) into 0 3.869 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.869 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.869 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.869 * [taylor]: Taking taylor expansion of 2.0 in im 3.869 * [backup-simplify]: Simplify 2.0 into 2.0 3.870 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.871 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.871 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.871 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.871 * [taylor]: Taking taylor expansion of im in im 3.871 * [backup-simplify]: Simplify 0 into 0 3.871 * [backup-simplify]: Simplify 1 into 1 3.871 * [backup-simplify]: Simplify (* 1 1) into 1 3.872 * [backup-simplify]: Simplify (/ 1 1) into 1 3.872 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.872 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.872 * [taylor]: Taking taylor expansion of re in im 3.872 * [backup-simplify]: Simplify re into re 3.872 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.872 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.872 * [backup-simplify]: Simplify (+ 1 0) into 1 3.873 * [backup-simplify]: Simplify (sqrt 1) into 1 3.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ 0 0) into 0 3.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.875 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.875 * [taylor]: Taking taylor expansion of re in im 3.875 * [backup-simplify]: Simplify re into re 3.875 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.876 * [backup-simplify]: Simplify (+ 1 0) into 1 3.876 * [backup-simplify]: Simplify (sqrt 0) into 0 3.877 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.878 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.878 * [taylor]: Taking taylor expansion of 0 in re 3.878 * [backup-simplify]: Simplify 0 into 0 3.878 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.880 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.880 * [taylor]: Taking taylor expansion of +nan.0 in re 3.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.880 * [taylor]: Taking taylor expansion of 2.0 in re 3.880 * [backup-simplify]: Simplify 2.0 into 2.0 3.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.881 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.882 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.883 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.883 * [backup-simplify]: Simplify 0 into 0 3.883 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.883 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.884 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 3.885 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.886 * [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))))) 3.886 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.886 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.886 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.886 * [taylor]: Taking taylor expansion of +nan.0 in re 3.886 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.886 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.886 * [taylor]: Taking taylor expansion of 2.0 in re 3.886 * [backup-simplify]: Simplify 2.0 into 2.0 3.886 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.887 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.887 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.887 * [taylor]: Taking taylor expansion of +nan.0 in re 3.887 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.887 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.887 * [taylor]: Taking taylor expansion of 2.0 in re 3.887 * [backup-simplify]: Simplify 2.0 into 2.0 3.887 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.887 * [taylor]: Taking taylor expansion of re in re 3.887 * [backup-simplify]: Simplify 0 into 0 3.887 * [backup-simplify]: Simplify 1 into 1 3.888 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.889 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.890 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.890 * [backup-simplify]: Simplify (- 0) into 0 3.891 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.894 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.895 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.896 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.896 * [backup-simplify]: Simplify (- 0) into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.898 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.899 * [backup-simplify]: Simplify (- 0) into 0 3.899 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.900 * [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)))) 3.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.902 * [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) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 3.902 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 3.902 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 3.902 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.902 * [taylor]: Taking taylor expansion of +nan.0 in re 3.902 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.902 * [taylor]: Taking taylor expansion of 2.0 in re 3.902 * [backup-simplify]: Simplify 2.0 into 2.0 3.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.903 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.903 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.903 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.903 * [taylor]: Taking taylor expansion of +nan.0 in re 3.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.903 * [taylor]: Taking taylor expansion of 2.0 in re 3.903 * [backup-simplify]: Simplify 2.0 into 2.0 3.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.903 * [taylor]: Taking taylor expansion of re in re 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.904 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.904 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.904 * [taylor]: Taking taylor expansion of +nan.0 in re 3.904 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.904 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.904 * [taylor]: Taking taylor expansion of 2.0 in re 3.904 * [backup-simplify]: Simplify 2.0 into 2.0 3.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.905 * [taylor]: Taking taylor expansion of re in re 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.906 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.907 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.911 * [backup-simplify]: Simplify (- 0) into 0 3.911 * [backup-simplify]: Simplify (+ 0 0) into 0 3.911 * [backup-simplify]: Simplify (- 0) into 0 3.912 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.913 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.914 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.917 * [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) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 3.917 * * * [progress]: simplifying candidates 3.918 * [simplify]: Simplifying: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (* (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re)))) (sqrt (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re))))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt 1) (sqrt (+ (* im im) (* re re))) (sqrt (+ (pow (* im im) 3) (pow (* re re) 3))) (sqrt (+ (* (* im im) (* im im)) (- (* (* re re) (* re re)) (* (* im im) (* re re))))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* im im) (* re re))) (/ 1 2) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (* (exp (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re))))) (exp re)) (log (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (exp (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (* (cbrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (cbrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re))) (cbrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (* (* (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re) (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (sqrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (sqrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (+ (pow (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re))))) (- (* re re) (* (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re))) (- (* (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re))))) (* re re)) (- (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re) (log (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (exp (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (* (cbrt (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (cbrt (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re))))) (cbrt (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (* (* (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re))) (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (sqrt 2.0) (sqrt (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (sqrt (* 2.0 (+ (pow (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) 3) (pow re 3)))) (sqrt (+ (* (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re))))) (- (* re re) (* (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (sqrt (* 2.0 (- (* (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re))))) (* re re)))) (sqrt (- (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) (sqrt (sqrt (* 2.0 (+ (* (sqrt (sqrt 1)) (sqrt (+ (* im im) (* re re)))) re)))) re im (* -1 im) (* 2 re) (+ re im) (- re im) (- (+ (* +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)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 3.920 * * [simplify]: Extracting # 0 : cost 0 3.920 * * [simplify]: Extracting # 1 : cost 0 3.920 * * [simplify]: Extracting # 2 : cost 0 3.920 * * [simplify]: Extracting # 3 : cost 0 3.920 * * [simplify]: Extracting # 4 : cost 0 3.920 * * [simplify]: Extracting # 5 : cost 0 3.921 * * [simplify]: Extracting # 6 : cost 0 3.921 * * [simplify]: Extracting # 7 : cost 0 3.921 * * [simplify]: Extracting # 8 : cost 0 3.921 * * [simplify]: Extracting # 9 : cost 0 3.921 * * [simplify]: Extracting # 10 : cost 0 3.921 * * [simplify]: Extracting # 11 : cost 0 3.921 * * [simplify]: Extracting # 12 : cost 0 3.922 * * [simplify]: Extracting # 13 : cost 0 3.922 * * [simplify]: iteration 0 : 118 enodes (cost 895 ) 3.965 * * [simplify]: Extracting # 0 : cost 0 3.966 * * [simplify]: Extracting # 1 : cost 0 3.966 * * [simplify]: Extracting # 2 : cost 0 3.967 * * [simplify]: Extracting # 3 : cost 0 3.968 * * [simplify]: Extracting # 4 : cost 0 3.969 * * [simplify]: Extracting # 5 : cost 0 3.969 * * [simplify]: iteration 1 : 325 enodes (cost 724 ) 4.218 * * [simplify]: Extracting # 0 : cost 0 4.221 * * [simplify]: Extracting # 1 : cost 0 4.224 * * [simplify]: Extracting # 2 : cost 0 4.227 * * [simplify]: Extracting # 3 : cost 0 4.230 * * [simplify]: Extracting # 4 : cost 0 4.233 * * [simplify]: iteration 2 : 1422 enodes (cost 592 ) 4.716 * * [simplify]: Extracting # 0 : cost 0 4.722 * * [simplify]: Extracting # 1 : cost 0 4.746 * * [simplify]: Extracting # 2 : cost 0 4.756 * * [simplify]: Extracting # 3 : cost 0 4.762 * * [simplify]: Extracting # 4 : cost 0 4.769 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 4.769 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow re 6) (pow im 6))) (sqrt (+ (* (* re re) (- (* re re) (* im im))) (pow im 4))) (sqrt (- (pow im 4) (pow re 4))) (sqrt (- (* im im) (* re re))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (pow (+ (sqrt (+ (* im im) (* re re))) re) 3) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (pow re 3) (pow (sqrt (+ (* im im) (* re re))) 3)) (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re))) (- (+ (* im im) (* re re)) (* re re)) (- (sqrt (+ (* im im) (* re re))) re) (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (pow (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))) 3) (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (+ (pow re 3) (pow (sqrt (+ (* im im) (* re re))) 3)) 2.0)) (sqrt (+ (* re (- re (sqrt (+ (* im im) (* re re))))) (+ (* im im) (* re re)))) (sqrt (* 2.0 (- (+ (* im im) (* re re)) (* re re)))) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) re im (- im) (* 2 re) (+ re im) (- re im) (+ (* (* (sqrt 2.0) +nan.0) (- (* (sqrt 2) re) (* (sqrt 2) (pow re 2)))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))))) (+ (* +nan.0 (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2)))) (- (* +nan.0 (sqrt 2.0)))) (+ (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) 4.769 * * * [progress]: adding candidates to table 5.008 * * [progress]: iteration 4 / 4 5.008 * * * [progress]: picking best candidate 5.024 * * * * [pick]: Picked # 5.024 * * * [progress]: localizing error 5.056 * * * [progress]: generating rewritten candidates 5.056 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 5.073 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 5.090 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 5.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 5.185 * * * [progress]: generating series expansions 5.185 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 1) 5.186 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.186 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.186 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.186 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.186 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.186 * [taylor]: Taking taylor expansion of re in im 5.186 * [backup-simplify]: Simplify re into re 5.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.186 * [taylor]: Taking taylor expansion of im in im 5.186 * [backup-simplify]: Simplify 0 into 0 5.186 * [backup-simplify]: Simplify 1 into 1 5.186 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.186 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.186 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.187 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.187 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.188 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.188 * [taylor]: Taking taylor expansion of re in re 5.188 * [backup-simplify]: Simplify 0 into 0 5.188 * [backup-simplify]: Simplify 1 into 1 5.188 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.188 * [taylor]: Taking taylor expansion of im in re 5.188 * [backup-simplify]: Simplify im into im 5.188 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.188 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.188 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.188 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.189 * [backup-simplify]: Simplify (+ 0 0) into 0 5.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.189 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.189 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.189 * [taylor]: Taking taylor expansion of re in re 5.189 * [backup-simplify]: Simplify 0 into 0 5.189 * [backup-simplify]: Simplify 1 into 1 5.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.190 * [taylor]: Taking taylor expansion of im in re 5.190 * [backup-simplify]: Simplify im into im 5.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.190 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.190 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.191 * [backup-simplify]: Simplify (+ 0 0) into 0 5.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.191 * [taylor]: Taking taylor expansion of im in im 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [taylor]: Taking taylor expansion of 0 in im 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.192 * [backup-simplify]: Simplify (* 1 1) into 1 5.192 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.193 * [backup-simplify]: Simplify (+ 1 0) into 1 5.193 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.194 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.194 * [taylor]: Taking taylor expansion of 1/2 in im 5.194 * [backup-simplify]: Simplify 1/2 into 1/2 5.194 * [taylor]: Taking taylor expansion of im in im 5.194 * [backup-simplify]: Simplify 0 into 0 5.194 * [backup-simplify]: Simplify 1 into 1 5.194 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify 0 into 0 5.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.197 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.197 * [backup-simplify]: Simplify (+ 0 0) into 0 5.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.197 * [taylor]: Taking taylor expansion of 0 in im 5.197 * [backup-simplify]: Simplify 0 into 0 5.197 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify 0 into 0 5.198 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.199 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.199 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.199 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.199 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.199 * [taylor]: Taking taylor expansion of im in im 5.199 * [backup-simplify]: Simplify 0 into 0 5.199 * [backup-simplify]: Simplify 1 into 1 5.199 * [backup-simplify]: Simplify (* 1 1) into 1 5.200 * [backup-simplify]: Simplify (/ 1 1) into 1 5.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.200 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.200 * [taylor]: Taking taylor expansion of re in im 5.200 * [backup-simplify]: Simplify re into re 5.200 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.200 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.201 * [backup-simplify]: Simplify (+ 1 0) into 1 5.201 * [backup-simplify]: Simplify (sqrt 1) into 1 5.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.203 * [backup-simplify]: Simplify (+ 0 0) into 0 5.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.204 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.204 * [taylor]: Taking taylor expansion of im in re 5.204 * [backup-simplify]: Simplify im into im 5.204 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.204 * [taylor]: Taking taylor expansion of re in re 5.204 * [backup-simplify]: Simplify 0 into 0 5.204 * [backup-simplify]: Simplify 1 into 1 5.205 * [backup-simplify]: Simplify (* 1 1) into 1 5.205 * [backup-simplify]: Simplify (/ 1 1) into 1 5.205 * [backup-simplify]: Simplify (+ 0 1) into 1 5.206 * [backup-simplify]: Simplify (sqrt 1) into 1 5.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.209 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.209 * [taylor]: Taking taylor expansion of im in re 5.209 * [backup-simplify]: Simplify im into im 5.209 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.209 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.209 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.209 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.209 * [taylor]: Taking taylor expansion of re in re 5.209 * [backup-simplify]: Simplify 0 into 0 5.209 * [backup-simplify]: Simplify 1 into 1 5.209 * [backup-simplify]: Simplify (* 1 1) into 1 5.210 * [backup-simplify]: Simplify (/ 1 1) into 1 5.210 * [backup-simplify]: Simplify (+ 0 1) into 1 5.211 * [backup-simplify]: Simplify (sqrt 1) into 1 5.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (+ 0 0) into 0 5.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.214 * [taylor]: Taking taylor expansion of 1 in im 5.214 * [backup-simplify]: Simplify 1 into 1 5.214 * [taylor]: Taking taylor expansion of 0 in im 5.214 * [backup-simplify]: Simplify 0 into 0 5.214 * [backup-simplify]: Simplify 1 into 1 5.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.216 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.217 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.217 * [taylor]: Taking taylor expansion of 1/2 in im 5.217 * [backup-simplify]: Simplify 1/2 into 1/2 5.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.217 * [taylor]: Taking taylor expansion of im in im 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.218 * [backup-simplify]: Simplify (* 1 1) into 1 5.218 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify 0 into 0 5.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.223 * [backup-simplify]: Simplify (+ 0 0) into 0 5.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.223 * [taylor]: Taking taylor expansion of 0 in im 5.223 * [backup-simplify]: Simplify 0 into 0 5.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify 0 into 0 5.226 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.226 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.226 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.226 * [taylor]: Taking taylor expansion of im in im 5.226 * [backup-simplify]: Simplify 0 into 0 5.227 * [backup-simplify]: Simplify 1 into 1 5.227 * [backup-simplify]: Simplify (* 1 1) into 1 5.227 * [backup-simplify]: Simplify (/ 1 1) into 1 5.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.227 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.227 * [taylor]: Taking taylor expansion of re in im 5.227 * [backup-simplify]: Simplify re into re 5.228 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.228 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.228 * [backup-simplify]: Simplify (+ 1 0) into 1 5.229 * [backup-simplify]: Simplify (sqrt 1) into 1 5.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (+ 0 0) into 0 5.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.231 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.231 * [taylor]: Taking taylor expansion of im in re 5.231 * [backup-simplify]: Simplify im into im 5.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.232 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.232 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.232 * [taylor]: Taking taylor expansion of re in re 5.232 * [backup-simplify]: Simplify 0 into 0 5.232 * [backup-simplify]: Simplify 1 into 1 5.232 * [backup-simplify]: Simplify (* 1 1) into 1 5.232 * [backup-simplify]: Simplify (/ 1 1) into 1 5.233 * [backup-simplify]: Simplify (+ 0 1) into 1 5.233 * [backup-simplify]: Simplify (sqrt 1) into 1 5.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.235 * [backup-simplify]: Simplify (+ 0 0) into 0 5.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.236 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.236 * [taylor]: Taking taylor expansion of im in re 5.236 * [backup-simplify]: Simplify im into im 5.236 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.236 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.236 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.236 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.236 * [taylor]: Taking taylor expansion of re in re 5.236 * [backup-simplify]: Simplify 0 into 0 5.236 * [backup-simplify]: Simplify 1 into 1 5.242 * [backup-simplify]: Simplify (* 1 1) into 1 5.242 * [backup-simplify]: Simplify (/ 1 1) into 1 5.243 * [backup-simplify]: Simplify (+ 0 1) into 1 5.243 * [backup-simplify]: Simplify (sqrt 1) into 1 5.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.245 * [backup-simplify]: Simplify (+ 0 0) into 0 5.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.246 * [taylor]: Taking taylor expansion of 1 in im 5.246 * [backup-simplify]: Simplify 1 into 1 5.246 * [taylor]: Taking taylor expansion of 0 in im 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.248 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.250 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.250 * [taylor]: Taking taylor expansion of 1/2 in im 5.250 * [backup-simplify]: Simplify 1/2 into 1/2 5.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.250 * [taylor]: Taking taylor expansion of im in im 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 1 into 1 5.250 * [backup-simplify]: Simplify (* 1 1) into 1 5.251 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.252 * [backup-simplify]: Simplify 0 into 0 5.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.255 * [backup-simplify]: Simplify (+ 0 0) into 0 5.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.256 * [taylor]: Taking taylor expansion of 0 in im 5.256 * [backup-simplify]: Simplify 0 into 0 5.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify 0 into 0 5.258 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.258 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 5.258 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 5.258 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 5.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.259 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.259 * [taylor]: Taking taylor expansion of re in im 5.259 * [backup-simplify]: Simplify re into re 5.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.259 * [taylor]: Taking taylor expansion of im in im 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.259 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.259 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.259 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.260 * [backup-simplify]: Simplify (+ 0 0) into 0 5.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.260 * [taylor]: Taking taylor expansion of re in re 5.260 * [backup-simplify]: Simplify 0 into 0 5.260 * [backup-simplify]: Simplify 1 into 1 5.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.260 * [taylor]: Taking taylor expansion of im in re 5.260 * [backup-simplify]: Simplify im into im 5.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.260 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.260 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.261 * [backup-simplify]: Simplify (+ 0 0) into 0 5.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.261 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.261 * [taylor]: Taking taylor expansion of re in re 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.261 * [taylor]: Taking taylor expansion of im in re 5.261 * [backup-simplify]: Simplify im into im 5.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.262 * [backup-simplify]: Simplify (+ 0 0) into 0 5.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.262 * [taylor]: Taking taylor expansion of im in im 5.262 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [taylor]: Taking taylor expansion of 0 in im 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify (* 1 1) into 1 5.264 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.264 * [backup-simplify]: Simplify (+ 1 0) into 1 5.265 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.265 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.265 * [taylor]: Taking taylor expansion of 1/2 in im 5.265 * [backup-simplify]: Simplify 1/2 into 1/2 5.265 * [taylor]: Taking taylor expansion of im in im 5.265 * [backup-simplify]: Simplify 0 into 0 5.265 * [backup-simplify]: Simplify 1 into 1 5.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.266 * [backup-simplify]: Simplify 0 into 0 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.268 * [backup-simplify]: Simplify (+ 0 0) into 0 5.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.268 * [taylor]: Taking taylor expansion of 0 in im 5.268 * [backup-simplify]: Simplify 0 into 0 5.269 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.270 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.270 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.270 * [taylor]: Taking taylor expansion of im in im 5.270 * [backup-simplify]: Simplify 0 into 0 5.270 * [backup-simplify]: Simplify 1 into 1 5.271 * [backup-simplify]: Simplify (* 1 1) into 1 5.271 * [backup-simplify]: Simplify (/ 1 1) into 1 5.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.271 * [taylor]: Taking taylor expansion of re in im 5.271 * [backup-simplify]: Simplify re into re 5.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.272 * [backup-simplify]: Simplify (+ 1 0) into 1 5.272 * [backup-simplify]: Simplify (sqrt 1) into 1 5.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (+ 0 0) into 0 5.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.275 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.275 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.275 * [taylor]: Taking taylor expansion of im in re 5.275 * [backup-simplify]: Simplify im into im 5.275 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.275 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.275 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.275 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.275 * [taylor]: Taking taylor expansion of re in re 5.275 * [backup-simplify]: Simplify 0 into 0 5.275 * [backup-simplify]: Simplify 1 into 1 5.275 * [backup-simplify]: Simplify (* 1 1) into 1 5.276 * [backup-simplify]: Simplify (/ 1 1) into 1 5.276 * [backup-simplify]: Simplify (+ 0 1) into 1 5.277 * [backup-simplify]: Simplify (sqrt 1) into 1 5.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.278 * [backup-simplify]: Simplify (+ 0 0) into 0 5.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.279 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.279 * [taylor]: Taking taylor expansion of im in re 5.279 * [backup-simplify]: Simplify im into im 5.279 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.280 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.280 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.280 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.280 * [taylor]: Taking taylor expansion of re in re 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 1 into 1 5.280 * [backup-simplify]: Simplify (* 1 1) into 1 5.280 * [backup-simplify]: Simplify (/ 1 1) into 1 5.281 * [backup-simplify]: Simplify (+ 0 1) into 1 5.281 * [backup-simplify]: Simplify (sqrt 1) into 1 5.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.283 * [backup-simplify]: Simplify (+ 0 0) into 0 5.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.284 * [taylor]: Taking taylor expansion of 1 in im 5.284 * [backup-simplify]: Simplify 1 into 1 5.284 * [taylor]: Taking taylor expansion of 0 in im 5.284 * [backup-simplify]: Simplify 0 into 0 5.284 * [backup-simplify]: Simplify 1 into 1 5.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.286 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.287 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.287 * [taylor]: Taking taylor expansion of 1/2 in im 5.288 * [backup-simplify]: Simplify 1/2 into 1/2 5.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.288 * [taylor]: Taking taylor expansion of im in im 5.288 * [backup-simplify]: Simplify 0 into 0 5.288 * [backup-simplify]: Simplify 1 into 1 5.288 * [backup-simplify]: Simplify (* 1 1) into 1 5.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.290 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify 0 into 0 5.290 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.293 * [backup-simplify]: Simplify (+ 0 0) into 0 5.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.294 * [taylor]: Taking taylor expansion of 0 in im 5.294 * [backup-simplify]: Simplify 0 into 0 5.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.297 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 5.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 5.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.297 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.297 * [taylor]: Taking taylor expansion of im in im 5.297 * [backup-simplify]: Simplify 0 into 0 5.297 * [backup-simplify]: Simplify 1 into 1 5.298 * [backup-simplify]: Simplify (* 1 1) into 1 5.298 * [backup-simplify]: Simplify (/ 1 1) into 1 5.298 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.298 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.298 * [taylor]: Taking taylor expansion of re in im 5.298 * [backup-simplify]: Simplify re into re 5.298 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.298 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.299 * [backup-simplify]: Simplify (+ 1 0) into 1 5.299 * [backup-simplify]: Simplify (sqrt 1) into 1 5.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.301 * [backup-simplify]: Simplify (+ 0 0) into 0 5.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.302 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.302 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.302 * [taylor]: Taking taylor expansion of im in re 5.302 * [backup-simplify]: Simplify im into im 5.302 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.302 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.302 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.302 * [taylor]: Taking taylor expansion of re in re 5.302 * [backup-simplify]: Simplify 0 into 0 5.302 * [backup-simplify]: Simplify 1 into 1 5.303 * [backup-simplify]: Simplify (* 1 1) into 1 5.303 * [backup-simplify]: Simplify (/ 1 1) into 1 5.304 * [backup-simplify]: Simplify (+ 0 1) into 1 5.304 * [backup-simplify]: Simplify (sqrt 1) into 1 5.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (+ 0 0) into 0 5.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.307 * [taylor]: Taking taylor expansion of im in re 5.307 * [backup-simplify]: Simplify im into im 5.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.307 * [taylor]: Taking taylor expansion of re in re 5.307 * [backup-simplify]: Simplify 0 into 0 5.307 * [backup-simplify]: Simplify 1 into 1 5.308 * [backup-simplify]: Simplify (* 1 1) into 1 5.308 * [backup-simplify]: Simplify (/ 1 1) into 1 5.308 * [backup-simplify]: Simplify (+ 0 1) into 1 5.309 * [backup-simplify]: Simplify (sqrt 1) into 1 5.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ 0 0) into 0 5.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.311 * [taylor]: Taking taylor expansion of 1 in im 5.311 * [backup-simplify]: Simplify 1 into 1 5.311 * [taylor]: Taking taylor expansion of 0 in im 5.311 * [backup-simplify]: Simplify 0 into 0 5.311 * [backup-simplify]: Simplify 1 into 1 5.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.314 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.315 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.315 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.315 * [taylor]: Taking taylor expansion of 1/2 in im 5.315 * [backup-simplify]: Simplify 1/2 into 1/2 5.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.315 * [taylor]: Taking taylor expansion of im in im 5.315 * [backup-simplify]: Simplify 0 into 0 5.315 * [backup-simplify]: Simplify 1 into 1 5.315 * [backup-simplify]: Simplify (* 1 1) into 1 5.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.317 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify 0 into 0 5.318 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.320 * [backup-simplify]: Simplify (+ 0 0) into 0 5.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.321 * [taylor]: Taking taylor expansion of 0 in im 5.321 * [backup-simplify]: Simplify 0 into 0 5.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify 0 into 0 5.323 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.323 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 5.324 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 5.324 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 5.324 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 5.324 * [taylor]: Taking taylor expansion of re in im 5.324 * [backup-simplify]: Simplify re into re 5.324 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 5.324 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.325 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.325 * [taylor]: Taking taylor expansion of re in im 5.325 * [backup-simplify]: Simplify re into re 5.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.325 * [taylor]: Taking taylor expansion of im in im 5.325 * [backup-simplify]: Simplify 0 into 0 5.325 * [backup-simplify]: Simplify 1 into 1 5.325 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.325 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.325 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.325 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.326 * [backup-simplify]: Simplify (+ 0 0) into 0 5.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.326 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.326 * [taylor]: Taking taylor expansion of re in re 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.326 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.326 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.326 * [taylor]: Taking taylor expansion of re in re 5.326 * [backup-simplify]: Simplify 0 into 0 5.326 * [backup-simplify]: Simplify 1 into 1 5.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.326 * [taylor]: Taking taylor expansion of im in re 5.326 * [backup-simplify]: Simplify im into im 5.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.327 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.327 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.327 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.327 * [backup-simplify]: Simplify (+ 0 0) into 0 5.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.328 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 5.328 * [taylor]: Taking taylor expansion of re in re 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 5.328 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.328 * [taylor]: Taking taylor expansion of re in re 5.328 * [backup-simplify]: Simplify 0 into 0 5.328 * [backup-simplify]: Simplify 1 into 1 5.328 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.328 * [taylor]: Taking taylor expansion of im in re 5.328 * [backup-simplify]: Simplify im into im 5.328 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.328 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.328 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.328 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.329 * [backup-simplify]: Simplify (+ 0 0) into 0 5.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.329 * [backup-simplify]: Simplify (+ 0 im) into im 5.329 * [taylor]: Taking taylor expansion of im in im 5.329 * [backup-simplify]: Simplify 0 into 0 5.329 * [backup-simplify]: Simplify 1 into 1 5.329 * [backup-simplify]: Simplify 0 into 0 5.330 * [backup-simplify]: Simplify (+ 1 0) into 1 5.330 * [taylor]: Taking taylor expansion of 1 in im 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify 1 into 1 5.330 * [backup-simplify]: Simplify (* 1 1) into 1 5.331 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.331 * [backup-simplify]: Simplify (+ 1 0) into 1 5.332 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.332 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 5.332 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.332 * [taylor]: Taking taylor expansion of 1/2 in im 5.332 * [backup-simplify]: Simplify 1/2 into 1/2 5.332 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.332 * [taylor]: Taking taylor expansion of im in im 5.332 * [backup-simplify]: Simplify 0 into 0 5.332 * [backup-simplify]: Simplify 1 into 1 5.333 * [backup-simplify]: Simplify (/ 1 1) into 1 5.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.334 * [backup-simplify]: Simplify 0 into 0 5.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.336 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.336 * [backup-simplify]: Simplify (+ 0 0) into 0 5.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.337 * [backup-simplify]: Simplify (+ 0 0) into 0 5.337 * [taylor]: Taking taylor expansion of 0 in im 5.337 * [backup-simplify]: Simplify 0 into 0 5.337 * [backup-simplify]: Simplify 0 into 0 5.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify 0 into 0 5.339 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.340 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 5.340 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 5.340 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.340 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.340 * [taylor]: Taking taylor expansion of re in im 5.340 * [backup-simplify]: Simplify re into re 5.340 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.341 * [taylor]: Taking taylor expansion of im in im 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 1 into 1 5.341 * [backup-simplify]: Simplify (* 1 1) into 1 5.341 * [backup-simplify]: Simplify (/ 1 1) into 1 5.341 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.341 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.341 * [taylor]: Taking taylor expansion of re in im 5.341 * [backup-simplify]: Simplify re into re 5.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.342 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.342 * [backup-simplify]: Simplify (+ 1 0) into 1 5.342 * [backup-simplify]: Simplify (sqrt 1) into 1 5.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.345 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.345 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.345 * [taylor]: Taking taylor expansion of re in re 5.345 * [backup-simplify]: Simplify 0 into 0 5.345 * [backup-simplify]: Simplify 1 into 1 5.345 * [backup-simplify]: Simplify (/ 1 1) into 1 5.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.346 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.346 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.346 * [taylor]: Taking taylor expansion of im in re 5.346 * [backup-simplify]: Simplify im into im 5.346 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.346 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.346 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.346 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.346 * [taylor]: Taking taylor expansion of re in re 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.347 * [backup-simplify]: Simplify (* 1 1) into 1 5.347 * [backup-simplify]: Simplify (/ 1 1) into 1 5.347 * [backup-simplify]: Simplify (+ 0 1) into 1 5.348 * [backup-simplify]: Simplify (sqrt 1) into 1 5.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.349 * [backup-simplify]: Simplify (+ 0 0) into 0 5.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.350 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.351 * [taylor]: Taking taylor expansion of re in re 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.351 * [backup-simplify]: Simplify (/ 1 1) into 1 5.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.351 * [taylor]: Taking taylor expansion of im in re 5.351 * [backup-simplify]: Simplify im into im 5.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.351 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.352 * [taylor]: Taking taylor expansion of re in re 5.352 * [backup-simplify]: Simplify 0 into 0 5.352 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (* 1 1) into 1 5.352 * [backup-simplify]: Simplify (/ 1 1) into 1 5.353 * [backup-simplify]: Simplify (+ 0 1) into 1 5.353 * [backup-simplify]: Simplify (sqrt 1) into 1 5.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.356 * [backup-simplify]: Simplify (+ 1 1) into 2 5.356 * [taylor]: Taking taylor expansion of 2 in im 5.356 * [backup-simplify]: Simplify 2 into 2 5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.357 * [backup-simplify]: Simplify (+ 0 0) into 0 5.357 * [taylor]: Taking taylor expansion of 0 in im 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify 2 into 2 5.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.359 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.359 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.360 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.360 * [taylor]: Taking taylor expansion of 1/2 in im 5.360 * [backup-simplify]: Simplify 1/2 into 1/2 5.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.360 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.360 * [taylor]: Taking taylor expansion of im in im 5.360 * [backup-simplify]: Simplify 0 into 0 5.360 * [backup-simplify]: Simplify 1 into 1 5.360 * [backup-simplify]: Simplify (* 1 1) into 1 5.360 * [backup-simplify]: Simplify (/ 1 1) into 1 5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.361 * [backup-simplify]: Simplify 0 into 0 5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.362 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.363 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.364 * [backup-simplify]: Simplify (+ 0 0) into 0 5.364 * [taylor]: Taking taylor expansion of 0 in im 5.364 * [backup-simplify]: Simplify 0 into 0 5.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify 0 into 0 5.366 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.366 * [backup-simplify]: Simplify (+ (* (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 5.367 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 5.367 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 5.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.367 * [taylor]: Taking taylor expansion of im in im 5.367 * [backup-simplify]: Simplify 0 into 0 5.367 * [backup-simplify]: Simplify 1 into 1 5.367 * [backup-simplify]: Simplify (* 1 1) into 1 5.367 * [backup-simplify]: Simplify (/ 1 1) into 1 5.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.367 * [taylor]: Taking taylor expansion of re in im 5.367 * [backup-simplify]: Simplify re into re 5.367 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.367 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.368 * [backup-simplify]: Simplify (+ 1 0) into 1 5.368 * [backup-simplify]: Simplify (sqrt 1) into 1 5.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.369 * [backup-simplify]: Simplify (+ 0 0) into 0 5.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.369 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.369 * [taylor]: Taking taylor expansion of re in im 5.369 * [backup-simplify]: Simplify re into re 5.369 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.369 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.369 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.369 * [taylor]: Taking taylor expansion of im in re 5.369 * [backup-simplify]: Simplify im into im 5.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.370 * [taylor]: Taking taylor expansion of re in re 5.370 * [backup-simplify]: Simplify 0 into 0 5.370 * [backup-simplify]: Simplify 1 into 1 5.370 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (/ 1 1) into 1 5.370 * [backup-simplify]: Simplify (+ 0 1) into 1 5.371 * [backup-simplify]: Simplify (sqrt 1) into 1 5.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.372 * [backup-simplify]: Simplify (+ 0 0) into 0 5.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.372 * [taylor]: Taking taylor expansion of re in re 5.372 * [backup-simplify]: Simplify 0 into 0 5.372 * [backup-simplify]: Simplify 1 into 1 5.372 * [backup-simplify]: Simplify (/ 1 1) into 1 5.372 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 5.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.372 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.372 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.372 * [taylor]: Taking taylor expansion of im in re 5.373 * [backup-simplify]: Simplify im into im 5.373 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.373 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.373 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.373 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.373 * [taylor]: Taking taylor expansion of re in re 5.373 * [backup-simplify]: Simplify 0 into 0 5.373 * [backup-simplify]: Simplify 1 into 1 5.373 * [backup-simplify]: Simplify (* 1 1) into 1 5.373 * [backup-simplify]: Simplify (/ 1 1) into 1 5.373 * [backup-simplify]: Simplify (+ 0 1) into 1 5.374 * [backup-simplify]: Simplify (sqrt 1) into 1 5.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.375 * [backup-simplify]: Simplify (+ 0 0) into 0 5.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.375 * [taylor]: Taking taylor expansion of re in re 5.375 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (/ 1 1) into 1 5.376 * [backup-simplify]: Simplify (- 1) into -1 5.376 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.376 * [taylor]: Taking taylor expansion of 0 in im 5.376 * [backup-simplify]: Simplify 0 into 0 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (- 0) into 0 5.377 * [backup-simplify]: Simplify (+ 0 0) into 0 5.377 * [taylor]: Taking taylor expansion of 0 in im 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.378 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.382 * [backup-simplify]: Simplify (- 0) into 0 5.382 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.382 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.382 * [taylor]: Taking taylor expansion of 1/2 in im 5.382 * [backup-simplify]: Simplify 1/2 into 1/2 5.382 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.382 * [taylor]: Taking taylor expansion of im in im 5.382 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify 1 into 1 5.383 * [backup-simplify]: Simplify (* 1 1) into 1 5.383 * [backup-simplify]: Simplify (/ 1 1) into 1 5.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.387 * [backup-simplify]: Simplify (+ 0 0) into 0 5.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.389 * [backup-simplify]: Simplify (- 0) into 0 5.389 * [backup-simplify]: Simplify (+ 0 0) into 0 5.389 * [taylor]: Taking taylor expansion of 0 in im 5.389 * [backup-simplify]: Simplify 0 into 0 5.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.392 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * [backup-simplify]: Simplify 0 into 0 5.392 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 5.393 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) into (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) 5.393 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in (re im) around 0 5.393 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in im 5.393 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in im 5.393 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in im 5.393 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in im 5.393 * [taylor]: Taking taylor expansion of 1/8 in im 5.393 * [backup-simplify]: Simplify 1/8 into 1/8 5.393 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in im 5.393 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 5.393 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.393 * [taylor]: Taking taylor expansion of re in im 5.393 * [backup-simplify]: Simplify re into re 5.393 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.393 * [taylor]: Taking taylor expansion of im in im 5.393 * [backup-simplify]: Simplify 0 into 0 5.393 * [backup-simplify]: Simplify 1 into 1 5.393 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.393 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.393 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 5.393 * [backup-simplify]: Simplify (* 1/8 (log (pow re 2))) into (* 1/8 (log (pow re 2))) 5.393 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow re 2)))) into (pow (pow re 2) 1/8) 5.393 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 5.393 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 5.393 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 5.393 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 5.394 * [taylor]: Taking taylor expansion of 1/8 in re 5.394 * [backup-simplify]: Simplify 1/8 into 1/8 5.394 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 5.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.394 * [taylor]: Taking taylor expansion of re in re 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.394 * [taylor]: Taking taylor expansion of im in re 5.394 * [backup-simplify]: Simplify im into im 5.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.394 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 5.394 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 5.394 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 5.394 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow re 2) (pow im 2)) 1/8) 3) in re 5.394 * [taylor]: Taking taylor expansion of (pow (+ (pow re 2) (pow im 2)) 1/8) in re 5.394 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (pow re 2) (pow im 2))))) in re 5.394 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (pow re 2) (pow im 2)))) in re 5.394 * [taylor]: Taking taylor expansion of 1/8 in re 5.394 * [backup-simplify]: Simplify 1/8 into 1/8 5.394 * [taylor]: Taking taylor expansion of (log (+ (pow re 2) (pow im 2))) in re 5.394 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 5.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.394 * [taylor]: Taking taylor expansion of re in re 5.394 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify 1 into 1 5.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.394 * [taylor]: Taking taylor expansion of im in re 5.394 * [backup-simplify]: Simplify im into im 5.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.395 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 5.395 * [backup-simplify]: Simplify (* 1/8 (log (pow im 2))) into (* 1/8 (log (pow im 2))) 5.395 * [backup-simplify]: Simplify (exp (* 1/8 (log (pow im 2)))) into (pow (pow im 2) 1/8) 5.395 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (pow (pow im 2) 1/8)) into (sqrt im) 5.395 * [backup-simplify]: Simplify (* (pow (pow im 2) 1/8) (sqrt im)) into (pow (pow im 3) 1/4) 5.395 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 5.395 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 5.395 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 5.395 * [taylor]: Taking taylor expansion of 1/4 in im 5.395 * [backup-simplify]: Simplify 1/4 into 1/4 5.395 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 5.395 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.395 * [taylor]: Taking taylor expansion of im in im 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (* 1 1) into 1 5.396 * [backup-simplify]: Simplify (* 1 1) into 1 5.396 * [backup-simplify]: Simplify (log 1) into 0 5.396 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 5.396 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 5.396 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 5.397 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 5.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.397 * [backup-simplify]: Simplify (+ 0 0) into 0 5.397 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 5.398 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (log (pow im 2)))) into 0 5.398 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 5.399 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (pow (pow im 2) 1/8))) into 0 5.399 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (* 0 (sqrt im))) into 0 5.399 * [taylor]: Taking taylor expansion of 0 in im 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify 0 into 0 5.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.401 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.401 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 5.401 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 5.402 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify (* 1 1) into 1 5.402 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.402 * [backup-simplify]: Simplify (+ 1 0) into 1 5.404 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 5.404 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/8 (/ 1 (pow im 2))) 5.405 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 5.405 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (pow im 2) 1/8)))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 5.406 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (sqrt im)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 5.406 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 5.406 * [taylor]: Taking taylor expansion of 3/8 in im 5.406 * [backup-simplify]: Simplify 3/8 into 3/8 5.406 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 5.406 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 5.406 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 5.406 * [taylor]: Taking taylor expansion of 1/4 in im 5.406 * [backup-simplify]: Simplify 1/4 into 1/4 5.406 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 5.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 5.406 * [taylor]: Taking taylor expansion of (pow im 5) in im 5.406 * [taylor]: Taking taylor expansion of im in im 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (* 1 1) into 1 5.407 * [backup-simplify]: Simplify (/ 1 1) into 1 5.408 * [backup-simplify]: Simplify (log 1) into 0 5.408 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 5.408 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 5.408 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 5.408 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 5.408 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.411 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 5.411 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 5.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 5.412 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.412 * [backup-simplify]: Simplify 0 into 0 5.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.414 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.414 * [backup-simplify]: Simplify (+ 0 0) into 0 5.415 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 5.416 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 5.417 * [backup-simplify]: Simplify (* (exp (* 1/8 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.418 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/8 (pow (/ 1 (pow im 7)) 1/4))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (pow (pow im 2) 1/8))))) into 0 5.418 * [backup-simplify]: Simplify (+ (* (pow (pow im 2) 1/8) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 0) (* 0 (sqrt im))))) into 0 5.418 * [taylor]: Taking taylor expansion of 0 in im 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.421 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.422 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 5.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 5.423 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 5.424 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 5.424 * [backup-simplify]: Simplify 0 into 0 5.424 * [backup-simplify]: Simplify 0 into 0 5.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.431 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.432 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 5.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 5.435 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.435 * [backup-simplify]: Simplify 0 into 0 5.436 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 5.436 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 5.436 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 5.436 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 5.436 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 5.436 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 5.436 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.436 * [taylor]: Taking taylor expansion of 1/8 in im 5.436 * [backup-simplify]: Simplify 1/8 into 1/8 5.436 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.437 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.437 * [taylor]: Taking taylor expansion of im in im 5.437 * [backup-simplify]: Simplify 0 into 0 5.437 * [backup-simplify]: Simplify 1 into 1 5.437 * [backup-simplify]: Simplify (* 1 1) into 1 5.437 * [backup-simplify]: Simplify (/ 1 1) into 1 5.438 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.438 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.438 * [taylor]: Taking taylor expansion of re in im 5.438 * [backup-simplify]: Simplify re into re 5.438 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.438 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.438 * [backup-simplify]: Simplify (+ 1 0) into 1 5.439 * [backup-simplify]: Simplify (log 1) into 0 5.439 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.439 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 5.439 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 5.439 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 5.439 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 5.439 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.439 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.440 * [taylor]: Taking taylor expansion of 1/8 in re 5.440 * [backup-simplify]: Simplify 1/8 into 1/8 5.440 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.440 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.440 * [taylor]: Taking taylor expansion of im in re 5.440 * [backup-simplify]: Simplify im into im 5.440 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 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 * [backup-simplify]: Simplify (+ 0 1) into 1 5.442 * [backup-simplify]: Simplify (log 1) into 0 5.442 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.442 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 5.442 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 5.442 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 5.442 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 5.442 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.443 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.443 * [taylor]: Taking taylor expansion of 1/8 in re 5.443 * [backup-simplify]: Simplify 1/8 into 1/8 5.443 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.443 * [taylor]: Taking taylor expansion of im in re 5.443 * [backup-simplify]: Simplify im into im 5.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.443 * [taylor]: Taking taylor expansion of re in re 5.443 * [backup-simplify]: Simplify 0 into 0 5.443 * [backup-simplify]: Simplify 1 into 1 5.444 * [backup-simplify]: Simplify (* 1 1) into 1 5.444 * [backup-simplify]: Simplify (/ 1 1) into 1 5.444 * [backup-simplify]: Simplify (+ 0 1) into 1 5.445 * [backup-simplify]: Simplify (log 1) into 0 5.445 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.445 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 5.445 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 5.446 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 5.446 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 5.446 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 5.446 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 5.446 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 5.446 * [taylor]: Taking taylor expansion of 1/4 in im 5.446 * [backup-simplify]: Simplify 1/4 into 1/4 5.446 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 5.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 5.446 * [taylor]: Taking taylor expansion of (pow re 3) in im 5.446 * [taylor]: Taking taylor expansion of re in im 5.446 * [backup-simplify]: Simplify re into re 5.446 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.446 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 5.447 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 5.447 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 5.447 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 5.447 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 5.447 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 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 5.451 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.451 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.452 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 5.453 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.453 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 5.453 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) 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 5.454 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.454 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 5.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 5.455 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 5.456 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 5.457 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.457 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.459 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.461 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 5.461 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.462 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 5.463 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 5.464 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 5.466 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 5.466 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 5.466 * [taylor]: Taking taylor expansion of 3/8 in im 5.466 * [backup-simplify]: Simplify 3/8 into 3/8 5.466 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 5.466 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 5.466 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 5.466 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 5.466 * [taylor]: Taking taylor expansion of 1/4 in im 5.466 * [backup-simplify]: Simplify 1/4 into 1/4 5.466 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 5.466 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 5.466 * [taylor]: Taking taylor expansion of (pow re 3) in im 5.467 * [taylor]: Taking taylor expansion of re in im 5.467 * [backup-simplify]: Simplify re into re 5.467 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.467 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 5.467 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 5.467 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 5.467 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 5.467 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 5.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.468 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.468 * [taylor]: Taking taylor expansion of im in im 5.468 * [backup-simplify]: Simplify 0 into 0 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (* 1 1) into 1 5.468 * [backup-simplify]: Simplify (/ 1 1) into 1 5.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.472 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.472 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 5.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 5.473 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 5.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 5.475 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.476 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 5.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 5.478 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 5.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 5.481 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.482 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 5.482 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 5.483 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 5.484 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.485 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 5.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 5.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 5.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 5.490 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.490 * [backup-simplify]: Simplify 0 into 0 5.490 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.493 * [backup-simplify]: Simplify (+ 0 0) into 0 5.497 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.497 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.498 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 5.499 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.499 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 5.500 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 5.500 * [taylor]: Taking taylor expansion of 0 in im 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 re) 3)) 1/4) into (pow (pow re 3) 1/4) 5.500 * [backup-simplify]: Simplify (pow (sqrt (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) 3) into (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) 5.501 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in (re im) around 0 5.501 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in im 5.501 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in im 5.501 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 5.501 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 5.501 * [taylor]: Taking taylor expansion of 1/8 in im 5.501 * [backup-simplify]: Simplify 1/8 into 1/8 5.501 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 5.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 5.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.501 * [taylor]: Taking taylor expansion of im in im 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify 1 into 1 5.501 * [backup-simplify]: Simplify (* 1 1) into 1 5.501 * [backup-simplify]: Simplify (/ 1 1) into 1 5.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.501 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.501 * [taylor]: Taking taylor expansion of re in im 5.501 * [backup-simplify]: Simplify re into re 5.502 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.502 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.502 * [backup-simplify]: Simplify (+ 1 0) into 1 5.502 * [backup-simplify]: Simplify (log 1) into 0 5.502 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 5.502 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log im)))) into (* -1/4 (log im)) 5.503 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 5.503 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 5.503 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 5.503 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.503 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.503 * [taylor]: Taking taylor expansion of 1/8 in re 5.503 * [backup-simplify]: Simplify 1/8 into 1/8 5.503 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.503 * [taylor]: Taking taylor expansion of im in re 5.503 * [backup-simplify]: Simplify im into im 5.503 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.503 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.503 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.503 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.503 * [taylor]: Taking taylor expansion of re in re 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 1 into 1 5.503 * [backup-simplify]: Simplify (* 1 1) into 1 5.503 * [backup-simplify]: Simplify (/ 1 1) into 1 5.504 * [backup-simplify]: Simplify (+ 0 1) into 1 5.504 * [backup-simplify]: Simplify (log 1) into 0 5.504 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.504 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 5.504 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 5.504 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) 3) in re 5.504 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1/8) in re 5.504 * [taylor]: Taking taylor expansion of (exp (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 5.504 * [taylor]: Taking taylor expansion of (* 1/8 (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 5.504 * [taylor]: Taking taylor expansion of 1/8 in re 5.504 * [backup-simplify]: Simplify 1/8 into 1/8 5.504 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 5.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 5.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.505 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.505 * [taylor]: Taking taylor expansion of im in re 5.505 * [backup-simplify]: Simplify im into im 5.505 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.505 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.505 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.505 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.505 * [taylor]: Taking taylor expansion of re in re 5.505 * [backup-simplify]: Simplify 0 into 0 5.505 * [backup-simplify]: Simplify 1 into 1 5.505 * [backup-simplify]: Simplify (* 1 1) into 1 5.505 * [backup-simplify]: Simplify (/ 1 1) into 1 5.506 * [backup-simplify]: Simplify (+ 0 1) into 1 5.506 * [backup-simplify]: Simplify (log 1) into 0 5.506 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.506 * [backup-simplify]: Simplify (* 1/8 (- (* 2 (log re)))) into (* -1/4 (log re)) 5.506 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 5.506 * [backup-simplify]: Simplify (* (pow re -1/4) (pow re -1/4)) into (sqrt (/ 1 re)) 5.506 * [backup-simplify]: Simplify (* (pow re -1/4) (sqrt (/ 1 re))) into (pow (/ 1 (pow re 3)) 1/4) 5.507 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 5.507 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 5.507 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 5.507 * [taylor]: Taking taylor expansion of 1/4 in im 5.507 * [backup-simplify]: Simplify 1/4 into 1/4 5.507 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 5.507 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 5.507 * [taylor]: Taking taylor expansion of (pow re 3) in im 5.507 * [taylor]: Taking taylor expansion of re in im 5.507 * [backup-simplify]: Simplify re into re 5.507 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.507 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 5.507 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 5.507 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 5.507 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 5.507 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 5.507 * [backup-simplify]: Simplify (pow (/ 1 (pow re 3)) 1/4) into (pow (/ 1 (pow re 3)) 1/4) 5.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.508 * [backup-simplify]: Simplify (+ 0 0) into 0 5.509 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 5.509 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.510 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (- (* 2 (log re))))) into 0 5.510 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 5.510 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (pow re -1/4))) into 0 5.511 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (* 0 (sqrt (/ 1 re)))) into 0 5.511 * [taylor]: Taking taylor expansion of 0 in im 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify 0 into 0 5.511 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.511 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 5.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 5.514 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 5.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 5.515 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.515 * [backup-simplify]: Simplify 0 into 0 5.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.516 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 5.517 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 5.518 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.518 * [backup-simplify]: Simplify (+ (* 1/8 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/8 (/ 1 (pow im 2))) 5.519 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 5.519 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (pow re -1/4)))) into (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2)))) 5.520 * [backup-simplify]: Simplify (+ (* (pow re -1/4) (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* 0 0) (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) (sqrt (/ 1 re))))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 5.520 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 5.520 * [taylor]: Taking taylor expansion of 3/8 in im 5.520 * [backup-simplify]: Simplify 3/8 into 3/8 5.520 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 5.520 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 5.520 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 5.520 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 5.521 * [taylor]: Taking taylor expansion of 1/4 in im 5.521 * [backup-simplify]: Simplify 1/4 into 1/4 5.521 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 5.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 5.521 * [taylor]: Taking taylor expansion of (pow re 3) in im 5.521 * [taylor]: Taking taylor expansion of re in im 5.521 * [backup-simplify]: Simplify re into re 5.521 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.521 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 5.521 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 5.521 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 5.521 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 5.521 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 5.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.521 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.521 * [taylor]: Taking taylor expansion of im in im 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [backup-simplify]: Simplify 1 into 1 5.522 * [backup-simplify]: Simplify (* 1 1) into 1 5.522 * [backup-simplify]: Simplify (/ 1 1) into 1 5.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.524 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 5.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 5.524 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 5.525 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 5.525 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 5.526 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.526 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 5.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 5.527 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 5.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 5.529 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.529 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 5.530 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 5.530 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 5.531 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify 0 into 0 5.531 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 5.531 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 5.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 5.533 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 5.534 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 5.536 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 5.536 * [backup-simplify]: Simplify 0 into 0 5.536 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.539 * [backup-simplify]: Simplify (+ 0 0) into 0 5.542 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 5.543 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 5.544 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 5.546 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 5.547 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (pow re -1/4))))) into 0 5.548 * [backup-simplify]: Simplify (+ (* (pow re -1/4) 0) (+ (* 0 (* 1/4 (* (sqrt (/ 1 re)) (/ 1 (pow im 2))))) (+ (* (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 0) (* 0 (sqrt (/ 1 re)))))) into 0 5.548 * [taylor]: Taking taylor expansion of 0 in im 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify 0 into 0 5.548 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- re)) 3)) 1/4) into (pow (* -1 (pow re 3)) 1/4) 5.549 * * * [progress]: simplifying candidates 5.552 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (exp re)) (log (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (exp (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (cbrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (* (* (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (sqrt (+ (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re)) (+ (pow (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow re 3)) (+ (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (- (* re re) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re))) (- (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) (* re re)) (- (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) re) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* 1/2 3) (* 1 3) (* (/ 1/2 2) 3) (* (/ 1 2) 3) (* (/ (/ 1/2 2) 2) 3) (* (/ (/ 1 2) 2) 3) (* (/ (/ (/ 1 2) 2) 2) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 1) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (log (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3))) (cbrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (* (* (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (* (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (cbrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt 1))) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt 1)) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt 1) 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow 1 3) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) 3) (pow (sqrt (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (/ 3 2) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (/ 3 2)) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (* -1 (pow re 3)) 1/4) 5.557 * * [simplify]: Extracting # 0 : cost 0 5.557 * * [simplify]: Extracting # 1 : cost 0 5.558 * * [simplify]: Extracting # 2 : cost 0 5.558 * * [simplify]: Extracting # 3 : cost 0 5.558 * * [simplify]: Extracting # 4 : cost 0 5.559 * * [simplify]: Extracting # 5 : cost 0 5.559 * * [simplify]: Extracting # 6 : cost 0 5.559 * * [simplify]: Extracting # 7 : cost 0 5.560 * * [simplify]: Extracting # 8 : cost 0 5.560 * * [simplify]: Extracting # 9 : cost 0 5.560 * * [simplify]: iteration 0 : 151 enodes (cost 1948 ) 5.700 * * [simplify]: Extracting # 0 : cost 0 5.701 * * [simplify]: Extracting # 1 : cost 0 5.702 * * [simplify]: Extracting # 2 : cost 0 5.702 * * [simplify]: Extracting # 3 : cost 0 5.703 * * [simplify]: Extracting # 4 : cost 0 5.704 * * [simplify]: Extracting # 5 : cost 0 5.705 * * [simplify]: Extracting # 6 : cost 0 5.706 * * [simplify]: iteration 1 : 488 enodes (cost 1500 ) 5.965 * * [simplify]: Extracting # 0 : cost 0 5.970 * * [simplify]: Extracting # 1 : cost 0 5.971 * * [simplify]: Extracting # 2 : cost 0 5.973 * * [simplify]: Extracting # 3 : cost 0 5.974 * * [simplify]: Extracting # 4 : cost 0 5.976 * * [simplify]: Extracting # 5 : cost 0 5.979 * * [simplify]: Extracting # 6 : cost 0 5.982 * * [simplify]: iteration 2 : 1770 enodes (cost 1345 ) 6.881 * * [simplify]: Extracting # 0 : cost 0 6.907 * * [simplify]: Extracting # 1 : cost 0 6.920 * * [simplify]: Extracting # 2 : cost 0 6.931 * * [simplify]: Extracting # 3 : cost 0 6.942 * * [simplify]: Extracting # 4 : cost 0 6.953 * * [simplify]: iteration done: 5002 enodes (cost 1287 ) 6.954 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (* im (pow im 3)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (* im (pow im 3)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (* (- re (sqrt (+ (* re re) (* im im)))) re) (+ (* re re) (* im im))) (- (+ (* re re) (* im im)) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 3/2 3 3/4 3/2 3/8 3/4 3/8 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (* (cbrt 3) (cbrt 3))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt 3)) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (* (log (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (exp (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (pow (fabs (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (cbrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (fabs (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (cbrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (fabs (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (cbrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) (pow (sqrt (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) 3) 1 (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow (sqrt (sqrt (sqrt (+ (pow im 6) (pow re 6))))) 3) (pow (sqrt (sqrt (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))))) 3) (pow (sqrt (sqrt (sqrt (- (pow re 4) (* im (pow im 3)))))) 3) (pow (sqrt (sqrt (sqrt (- (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) 3/2 (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (sqrt (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3)) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3/2) im re (- re) im re (- re) (+ re im) (* 2 re) 0 (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) (pow (pow re 3) 1/4) (pow (- (pow re 3)) 1/4) 6.956 * * * [progress]: adding candidates to table 7.517 * [progress]: [Phase 3 of 3] Extracting. 7.517 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 7.523 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 7.523 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 7.625 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # #) 7.706 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 7.802 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 7.906 * * * [regime]: Found split indices: #