45.224 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.058 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.062 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.062 * * [simplify]: iteration 1: (12 enodes) 0.064 * * [simplify]: iteration 2: (22 enodes) 0.068 * * [simplify]: iteration 3: (24 enodes) 0.070 * * [simplify]: Extracting #0: cost 1 inf + 0 0.070 * * [simplify]: Extracting #1: cost 3 inf + 0 0.070 * * [simplify]: Extracting #2: cost 3 inf + 1 0.071 * * [simplify]: Extracting #3: cost 7 inf + 1 0.071 * * [simplify]: Extracting #4: cost 8 inf + 2 0.071 * * [simplify]: Extracting #5: cost 8 inf + 3 0.071 * * [simplify]: Extracting #6: cost 9 inf + 45 0.071 * * [simplify]: Extracting #7: cost 9 inf + 86 0.071 * * [simplify]: Extracting #8: cost 7 inf + 128 0.071 * * [simplify]: Extracting #9: cost 5 inf + 412 0.071 * * [simplify]: Extracting #10: cost 2 inf + 1060 0.071 * * [simplify]: Extracting #11: cost 0 inf + 1667 0.072 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.075 * * [progress]: iteration 1 / 4 0.075 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.097 * * * [progress]: localizing error 0.117 * * * [progress]: generating rewritten candidates 0.117 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.124 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 0.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.177 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.178 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.178 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.178 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.178 * [taylor]: Taking taylor expansion of re in im 0.178 * [backup-simplify]: Simplify re into re 0.178 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.178 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.178 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.178 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.179 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.179 * [backup-simplify]: Simplify im into im 0.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.179 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.179 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.179 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.180 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.180 * [taylor]: Taking taylor expansion of im in re 0.180 * [backup-simplify]: Simplify im into im 0.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.180 * [taylor]: Taking taylor expansion of re in re 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.180 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.180 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.180 * [taylor]: Taking taylor expansion of im in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.182 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.182 * [taylor]: Taking taylor expansion of 1/2 in im 0.182 * [backup-simplify]: Simplify 1/2 into 1/2 0.182 * [taylor]: Taking taylor expansion of im in im 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.185 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.185 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.185 * [taylor]: Taking taylor expansion of re in im 0.185 * [backup-simplify]: Simplify re into re 0.185 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (+ 0 1) into 1 0.186 * [backup-simplify]: Simplify (sqrt 1) into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.188 * [taylor]: Taking taylor expansion of re in re 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.189 * [taylor]: Taking taylor expansion of im in re 0.189 * [backup-simplify]: Simplify im into im 0.189 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (sqrt 1) into 1 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.191 * [taylor]: Taking taylor expansion of re in re 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.191 * [taylor]: Taking taylor expansion of im in re 0.191 * [backup-simplify]: Simplify im into im 0.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (sqrt 1) into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [taylor]: Taking taylor expansion of 1 in im 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.196 * [taylor]: Taking taylor expansion of 1/2 in im 0.196 * [backup-simplify]: Simplify 1/2 into 1/2 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.196 * [taylor]: Taking taylor expansion of im in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in im 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.201 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.201 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.201 * [backup-simplify]: Simplify re into re 0.201 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.202 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.202 * [taylor]: Taking taylor expansion of im in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (+ 0 1) into 1 0.203 * [backup-simplify]: Simplify (sqrt 1) into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.206 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.206 * [taylor]: Taking taylor expansion of re in re 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.207 * [taylor]: Taking taylor expansion of im in re 0.207 * [backup-simplify]: Simplify im into im 0.207 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (sqrt 1) into 1 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.210 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [backup-simplify]: Simplify (sqrt 1) into 1 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.214 * [taylor]: Taking taylor expansion of 1 in im 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.218 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.218 * [taylor]: Taking taylor expansion of 1/2 in im 0.218 * [backup-simplify]: Simplify 1/2 into 1/2 0.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.218 * [taylor]: Taking taylor expansion of im in im 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.226 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.227 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.227 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.227 * [taylor]: Taking taylor expansion of 2.0 in im 0.227 * [backup-simplify]: Simplify 2.0 into 2.0 0.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.228 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.228 * [taylor]: Taking taylor expansion of re in im 0.228 * [backup-simplify]: Simplify re into re 0.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.228 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.228 * [taylor]: Taking taylor expansion of im in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.228 * [taylor]: Taking taylor expansion of re in im 0.228 * [backup-simplify]: Simplify re into re 0.228 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.228 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.228 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.228 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.229 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.229 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.230 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.230 * [taylor]: Taking taylor expansion of 2.0 in re 0.230 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.231 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.231 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.231 * [taylor]: Taking taylor expansion of im in re 0.231 * [backup-simplify]: Simplify im into im 0.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.232 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.232 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.232 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 im) into im 0.232 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.233 * [taylor]: Taking taylor expansion of 2.0 in re 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.234 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.234 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.234 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.234 * [taylor]: Taking taylor expansion of im in re 0.234 * [backup-simplify]: Simplify im into im 0.234 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.234 * [taylor]: Taking taylor expansion of re in re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.235 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.235 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.235 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 im) into im 0.235 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.236 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.236 * [taylor]: Taking taylor expansion of 2.0 in im 0.236 * [backup-simplify]: Simplify 2.0 into 2.0 0.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.238 * [taylor]: Taking taylor expansion of (sqrt im) in 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 (sqrt 0) into 0 0.240 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.240 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.241 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.241 * [taylor]: Taking taylor expansion of 1/2 in im 0.241 * [backup-simplify]: Simplify 1/2 into 1/2 0.241 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.241 * [taylor]: Taking taylor expansion of 2.0 in im 0.241 * [backup-simplify]: Simplify 2.0 into 2.0 0.241 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.242 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.242 * [taylor]: Taking taylor expansion of im in im 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (sqrt 0) into 0 0.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.247 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.252 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.254 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.255 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.256 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.256 * [backup-simplify]: Simplify (* 1 1) into 1 0.256 * [backup-simplify]: Simplify (+ 0 1) into 1 0.257 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.257 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.258 * [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)))) 0.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.260 * [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))))) 0.260 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.260 * [taylor]: Taking taylor expansion of 1/8 in im 0.260 * [backup-simplify]: Simplify 1/8 into 1/8 0.260 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.260 * [taylor]: Taking taylor expansion of 2.0 in im 0.260 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.261 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (sqrt 0) into 0 0.264 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.273 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.276 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.277 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.277 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.281 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.284 * [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))))))) 0.285 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.285 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.285 * [taylor]: Taking taylor expansion of 2.0 in im 0.285 * [backup-simplify]: Simplify 2.0 into 2.0 0.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.285 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.285 * [taylor]: Taking taylor expansion of re in im 0.285 * [backup-simplify]: Simplify re into re 0.285 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.286 * [taylor]: Taking taylor expansion of re in im 0.286 * [backup-simplify]: Simplify re into re 0.286 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.286 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.286 * [taylor]: Taking taylor expansion of im in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [backup-simplify]: Simplify (+ 0 1) into 1 0.287 * [backup-simplify]: Simplify (sqrt 1) into 1 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 1) into 1 0.289 * [backup-simplify]: Simplify (sqrt 0) into 0 0.290 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.290 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (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 0.291 * [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 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.292 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.292 * [taylor]: Taking taylor expansion of im in re 0.292 * [backup-simplify]: Simplify im into im 0.292 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.292 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.292 * [backup-simplify]: Simplify (+ 1 0) into 1 0.293 * [backup-simplify]: Simplify (sqrt 1) into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.294 * [backup-simplify]: Simplify (+ 1 1) into 2 0.295 * [backup-simplify]: Simplify (sqrt 0) into 0 0.295 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.295 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.295 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.295 * [taylor]: Taking taylor expansion of 2.0 in re 0.295 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.296 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.296 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.296 * [taylor]: Taking taylor expansion of re in re 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.297 * [taylor]: Taking taylor expansion of re in re 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (/ 1 1) into 1 0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.297 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.297 * [taylor]: Taking taylor expansion of im in re 0.297 * [backup-simplify]: Simplify im into im 0.297 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.297 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.298 * [backup-simplify]: Simplify (+ 1 0) into 1 0.298 * [backup-simplify]: Simplify (sqrt 1) into 1 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.300 * [backup-simplify]: Simplify (+ 1 1) into 2 0.300 * [backup-simplify]: Simplify (sqrt 0) into 0 0.301 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.301 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in im 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.302 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.302 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.302 * [taylor]: Taking taylor expansion of +nan.0 in im 0.303 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.303 * [taylor]: Taking taylor expansion of 2.0 in im 0.303 * [backup-simplify]: Simplify 2.0 into 2.0 0.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.308 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.309 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.310 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.311 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.311 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.314 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.314 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.315 * [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)) 0.316 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.317 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.317 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.317 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.317 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.317 * [taylor]: Taking taylor expansion of +nan.0 in im 0.317 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.317 * [taylor]: Taking taylor expansion of 2.0 in im 0.317 * [backup-simplify]: Simplify 2.0 into 2.0 0.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.318 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.318 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.318 * [taylor]: Taking taylor expansion of +nan.0 in im 0.318 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.318 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.318 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.318 * [taylor]: Taking taylor expansion of 2.0 in im 0.318 * [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 (pow im 2) in im 0.320 * [taylor]: Taking taylor expansion of im in im 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.327 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.328 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.329 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.330 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 0) into 0 0.334 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.334 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [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))) 0.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.338 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.338 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.339 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.339 * [backup-simplify]: Simplify 2.0 into 2.0 0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.340 * [taylor]: Taking taylor expansion of +nan.0 in im 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.340 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.340 * [taylor]: Taking taylor expansion of 2.0 in im 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 (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 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 0.343 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.354 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.357 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.358 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.363 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.364 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.364 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.364 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.364 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.364 * [taylor]: Taking taylor expansion of 2.0 in im 0.364 * [backup-simplify]: Simplify 2.0 into 2.0 0.364 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.365 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.365 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.365 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.365 * [taylor]: Taking taylor expansion of re in im 0.365 * [backup-simplify]: Simplify re into re 0.365 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.366 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.366 * [taylor]: Taking taylor expansion of im in im 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.367 * [backup-simplify]: Simplify (+ 0 1) into 1 0.367 * [backup-simplify]: Simplify (sqrt 1) into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.370 * [taylor]: Taking taylor expansion of re in im 0.370 * [backup-simplify]: Simplify re into re 0.370 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (sqrt 0) into 0 0.372 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.372 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.372 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.373 * [taylor]: Taking taylor expansion of 2.0 in re 0.373 * [backup-simplify]: Simplify 2.0 into 2.0 0.373 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.374 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.374 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.374 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.374 * [taylor]: Taking taylor expansion of re in re 0.374 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify 1 into 1 0.374 * [backup-simplify]: Simplify (* 1 1) into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.375 * [taylor]: Taking taylor expansion of im in re 0.375 * [backup-simplify]: Simplify im into im 0.375 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.375 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.376 * [backup-simplify]: Simplify (+ 1 0) into 1 0.376 * [backup-simplify]: Simplify (sqrt 1) into 1 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.379 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [backup-simplify]: Simplify (- 1) into -1 0.380 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.385 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- 0) into 0 0.386 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.387 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.390 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.390 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.390 * [taylor]: Taking taylor expansion of 2.0 in re 0.390 * [backup-simplify]: Simplify 2.0 into 2.0 0.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.391 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.391 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.392 * [taylor]: Taking taylor expansion of im in re 0.392 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.396 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.396 * [taylor]: Taking taylor expansion of re in re 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.397 * [backup-simplify]: Simplify (- 1) into -1 0.397 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- 0) into 0 0.399 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.402 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (- 0) into 0 0.403 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.404 * [backup-simplify]: Simplify (sqrt 0) into 0 0.404 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.405 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.406 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.406 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.406 * [taylor]: Taking taylor expansion of +nan.0 in im 0.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.406 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.406 * [taylor]: Taking taylor expansion of 2.0 in im 0.406 * [backup-simplify]: Simplify 2.0 into 2.0 0.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify (- 0) into 0 0.412 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.413 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.414 * [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)))) 0.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.414 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.414 * [taylor]: Taking taylor expansion of +nan.0 in im 0.414 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.414 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.414 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.414 * [taylor]: Taking taylor expansion of 2.0 in im 0.414 * [backup-simplify]: Simplify 2.0 into 2.0 0.414 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.415 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.415 * [taylor]: Taking taylor expansion of im in im 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (* 1 1) into 1 0.416 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.424 * [backup-simplify]: Simplify (- 0) into 0 0.424 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.431 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.432 * [backup-simplify]: Simplify (+ 0 0) into 0 0.433 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.434 * [backup-simplify]: Simplify (- 0) into 0 0.434 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.435 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) 0.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.438 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.438 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.438 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.438 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.438 * [taylor]: Taking taylor expansion of +nan.0 in im 0.438 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.438 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.438 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.438 * [taylor]: Taking taylor expansion of 2.0 in im 0.438 * [backup-simplify]: Simplify 2.0 into 2.0 0.438 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.439 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.439 * [taylor]: Taking taylor expansion of im in im 0.439 * [backup-simplify]: Simplify 0 into 0 0.439 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.440 * [backup-simplify]: Simplify (* 1 1) into 1 0.441 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.441 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.441 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.441 * [taylor]: Taking taylor expansion of +nan.0 in im 0.441 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.441 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.441 * [taylor]: Taking taylor expansion of 2.0 in im 0.441 * [backup-simplify]: Simplify 2.0 into 2.0 0.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.442 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.442 * [taylor]: Taking taylor expansion of im in im 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.443 * [backup-simplify]: Simplify (* 1 1) into 1 0.444 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.445 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.457 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.460 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.461 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (* 0 1))))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 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)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.475 * [backup-simplify]: Simplify (- 0) into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * [backup-simplify]: Simplify 0 into 0 0.475 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 0.475 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.476 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.476 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.476 * [taylor]: Taking taylor expansion of re in im 0.476 * [backup-simplify]: Simplify re into re 0.476 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.476 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.476 * [taylor]: Taking taylor expansion of im in im 0.476 * [backup-simplify]: Simplify 0 into 0 0.476 * [backup-simplify]: Simplify 1 into 1 0.476 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.476 * [taylor]: Taking taylor expansion of re in im 0.476 * [backup-simplify]: Simplify re into re 0.476 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.476 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.476 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.476 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.476 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.477 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [backup-simplify]: Simplify im into im 0.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.477 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.477 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.477 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.477 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.477 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.477 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.477 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.477 * [taylor]: Taking taylor expansion of im in re 0.477 * [backup-simplify]: Simplify im into im 0.477 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.478 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.478 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.478 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.478 * [backup-simplify]: Simplify (+ 0 0) into 0 0.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.478 * [backup-simplify]: Simplify (+ 0 im) into im 0.478 * [taylor]: Taking taylor expansion of im in im 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify 0 into 0 0.478 * [backup-simplify]: Simplify (+ 1 0) into 1 0.478 * [taylor]: Taking taylor expansion of 1 in im 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify 1 into 1 0.478 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (+ 0 1) into 1 0.480 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.480 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.480 * [taylor]: Taking taylor expansion of 1/2 in im 0.480 * [backup-simplify]: Simplify 1/2 into 1/2 0.480 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.480 * [taylor]: Taking taylor expansion of im in im 0.480 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify 1 into 1 0.480 * [backup-simplify]: Simplify (/ 1 1) into 1 0.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.482 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.483 * [backup-simplify]: Simplify (+ 0 0) into 0 0.483 * [taylor]: Taking taylor expansion of 0 in im 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify 0 into 0 0.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.484 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.484 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.484 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.484 * [taylor]: Taking taylor expansion of re in im 0.484 * [backup-simplify]: Simplify re into re 0.484 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.484 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.485 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.485 * [taylor]: Taking taylor expansion of re in im 0.485 * [backup-simplify]: Simplify re into re 0.485 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.485 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.485 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.485 * [taylor]: Taking taylor expansion of im in im 0.485 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify 1 into 1 0.485 * [backup-simplify]: Simplify (* 1 1) into 1 0.485 * [backup-simplify]: Simplify (/ 1 1) into 1 0.486 * [backup-simplify]: Simplify (+ 0 1) into 1 0.486 * [backup-simplify]: Simplify (sqrt 1) into 1 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.487 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.487 * [taylor]: Taking taylor expansion of re in re 0.487 * [backup-simplify]: Simplify 0 into 0 0.487 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.488 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.488 * [taylor]: Taking taylor expansion of re in re 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify 1 into 1 0.488 * [backup-simplify]: Simplify (* 1 1) into 1 0.488 * [backup-simplify]: Simplify (/ 1 1) into 1 0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.488 * [taylor]: Taking taylor expansion of im in re 0.488 * [backup-simplify]: Simplify im into im 0.488 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.488 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.489 * [backup-simplify]: Simplify (+ 1 0) into 1 0.489 * [backup-simplify]: Simplify (sqrt 1) into 1 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 0) into 0 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.490 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.490 * [taylor]: Taking taylor expansion of re in re 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.491 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.491 * [taylor]: Taking taylor expansion of re in re 0.491 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.491 * [backup-simplify]: Simplify (/ 1 1) into 1 0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.491 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.491 * [taylor]: Taking taylor expansion of im in re 0.491 * [backup-simplify]: Simplify im into im 0.492 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.492 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.492 * [backup-simplify]: Simplify (+ 1 0) into 1 0.492 * [backup-simplify]: Simplify (sqrt 1) into 1 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ 0 0) into 0 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.494 * [backup-simplify]: Simplify (+ 1 1) into 2 0.494 * [taylor]: Taking taylor expansion of 2 in im 0.494 * [backup-simplify]: Simplify 2 into 2 0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (+ 0 0) into 0 0.495 * [taylor]: Taking taylor expansion of 0 in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 2 into 2 0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.500 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.500 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.500 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.500 * [taylor]: Taking taylor expansion of 1/2 in im 0.500 * [backup-simplify]: Simplify 1/2 into 1/2 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.500 * [taylor]: Taking taylor expansion of im in im 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.501 * [backup-simplify]: Simplify (* 1 1) into 1 0.501 * [backup-simplify]: Simplify (/ 1 1) into 1 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.507 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.508 * [backup-simplify]: Simplify (+ 0 0) into 0 0.508 * [taylor]: Taking taylor expansion of 0 in im 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.511 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.512 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.512 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.512 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.512 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.512 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.512 * [taylor]: Taking taylor expansion of re in im 0.512 * [backup-simplify]: Simplify re into re 0.512 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.512 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.512 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.513 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.513 * [backup-simplify]: Simplify 0 into 0 0.513 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ 1 1) into 1 0.514 * [backup-simplify]: Simplify (+ 0 1) into 1 0.514 * [backup-simplify]: Simplify (sqrt 1) into 1 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.517 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.517 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.517 * [taylor]: Taking taylor expansion of re in im 0.517 * [backup-simplify]: Simplify re into re 0.517 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.517 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.517 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.517 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.517 * [taylor]: Taking taylor expansion of re in re 0.517 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify 1 into 1 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.518 * [backup-simplify]: Simplify (/ 1 1) into 1 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.518 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.518 * [taylor]: Taking taylor expansion of im in re 0.518 * [backup-simplify]: Simplify im into im 0.518 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.518 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.518 * [backup-simplify]: Simplify (+ 1 0) into 1 0.519 * [backup-simplify]: Simplify (sqrt 1) into 1 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ 0 0) into 0 0.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.521 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.521 * [taylor]: Taking taylor expansion of re in re 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.522 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.522 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.522 * [taylor]: Taking taylor expansion of re in re 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.523 * [backup-simplify]: Simplify (/ 1 1) into 1 0.523 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.523 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.523 * [taylor]: Taking taylor expansion of im in re 0.523 * [backup-simplify]: Simplify im into im 0.523 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.523 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.523 * [backup-simplify]: Simplify (+ 1 0) into 1 0.524 * [backup-simplify]: Simplify (sqrt 1) into 1 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.525 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [backup-simplify]: Simplify (/ 1 1) into 1 0.526 * [backup-simplify]: Simplify (- 1) into -1 0.527 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.527 * [taylor]: Taking taylor expansion of 0 in im 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [taylor]: Taking taylor expansion of 0 in im 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.530 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- 0) into 0 0.530 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.530 * [taylor]: Taking taylor expansion of 1/2 in im 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.531 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (* 1 1) into 1 0.531 * [backup-simplify]: Simplify (/ 1 1) into 1 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (- 0) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in im 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.537 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.537 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.537 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.537 * [taylor]: Taking taylor expansion of re in im 0.537 * [backup-simplify]: Simplify re into re 0.538 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.538 * [taylor]: Taking taylor expansion of im in re 0.538 * [backup-simplify]: Simplify im into im 0.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.538 * [taylor]: Taking taylor expansion of re in re 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.538 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.538 * [taylor]: Taking taylor expansion of im in re 0.538 * [backup-simplify]: Simplify im into im 0.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.538 * [taylor]: Taking taylor expansion of re in re 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.538 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.538 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.538 * [taylor]: Taking taylor expansion of im in im 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.538 * [taylor]: Taking taylor expansion of 0 in im 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (+ 0 1) into 1 0.539 * [taylor]: Taking taylor expansion of 1 in im 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [taylor]: Taking taylor expansion of 0 in im 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [taylor]: Taking taylor expansion of 0 in im 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.543 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.543 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.543 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.543 * [taylor]: Taking taylor expansion of re in im 0.543 * [backup-simplify]: Simplify re into re 0.543 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.543 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.543 * [taylor]: Taking taylor expansion of im in im 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.544 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.544 * [taylor]: Taking taylor expansion of re in re 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [backup-simplify]: Simplify im into im 0.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.545 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.545 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.545 * [taylor]: Taking taylor expansion of re in re 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.545 * [backup-simplify]: Simplify (/ 1 1) into 1 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.545 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.545 * [taylor]: Taking taylor expansion of im in re 0.545 * [backup-simplify]: Simplify im into im 0.545 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.545 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.546 * [backup-simplify]: Simplify (+ 1 0) into 1 0.546 * [taylor]: Taking taylor expansion of 1 in im 0.546 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.547 * [taylor]: Taking taylor expansion of 0 in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.548 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.548 * [taylor]: Taking taylor expansion of im in im 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (* 1 1) into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 0) into 0 0.553 * [taylor]: Taking taylor expansion of 0 in im 0.553 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.555 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.555 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.555 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.555 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.556 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.556 * [taylor]: Taking taylor expansion of re in re 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (* 1 1) into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.556 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.556 * [taylor]: Taking taylor expansion of im in re 0.556 * [backup-simplify]: Simplify im into im 0.556 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.557 * [taylor]: Taking taylor expansion of re in re 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (* 1 1) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.557 * [taylor]: Taking taylor expansion of im in re 0.557 * [backup-simplify]: Simplify im into im 0.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.558 * [backup-simplify]: Simplify (+ 1 0) into 1 0.558 * [taylor]: Taking taylor expansion of 1 in im 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.560 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.560 * [taylor]: Taking taylor expansion of im in im 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 1 1) into 1 0.561 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [taylor]: Taking taylor expansion of 0 in im 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in im 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.567 * * * [progress]: simplifying candidates 0.567 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.567 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 0.567 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 28 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 30 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.568 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 38 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 40 / 67 ] simplifiying candidate # 0.568 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 42 / 67 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.569 * * * * [progress]: [ 43 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 54 / 67 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 0.569 * * * * [progress]: [ 55 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 61 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 0.569 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 0.570 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (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)))) (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (real->posit16 (+ (* re re) (* im im))) im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 (+ re im) (* 2 re) 0 (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) 0.571 * * [simplify]: iteration 1: (112 enodes) 0.594 * * [simplify]: iteration 2: (279 enodes) 0.738 * * [simplify]: iteration 3: (867 enodes) 1.384 * * [simplify]: Extracting #0: cost 59 inf + 0 1.385 * * [simplify]: Extracting #1: cost 216 inf + 5 1.387 * * [simplify]: Extracting #2: cost 646 inf + 2824 1.395 * * [simplify]: Extracting #3: cost 460 inf + 34616 1.424 * * [simplify]: Extracting #4: cost 237 inf + 78003 1.473 * * [simplify]: Extracting #5: cost 76 inf + 122562 1.509 * * [simplify]: Extracting #6: cost 9 inf + 143341 1.549 * * [simplify]: Extracting #7: cost 0 inf + 146405 1.587 * [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)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im)))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (exp (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (* (cbrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (cbrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0)))) (cbrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (* (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0) (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* (+ (* (* re re) re) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) 2.0)) (sqrt (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im)))) (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (real->posit16 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* (* re re) re) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) (+ (* re (- re (sqrt (+ (* re re) (* im im))))) (+ (* re re) (* im im))) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (+ (* re re) (* im im)) (* (+ (* re re) (* im im)) (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (* (* (* re re) (* re re)) (* re re)) (* (* (* im im) im) (* (* im im) im))) (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (* (+ re im) (- re im)) (real->posit16 (+ (* re re) (* im im))) im re (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) re) (/ (sqrt 2.0) (* re re))))) 0 (+ re im) (* re 2) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 1.593 * * * [progress]: adding candidates to table 2.407 * * [progress]: iteration 2 / 4 2.407 * * * [progress]: picking best candidate 2.433 * * * * [pick]: Picked # 2.433 * * * [progress]: localizing error 2.501 * * * [progress]: generating rewritten candidates 2.502 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 2.513 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 2.525 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 2.538 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 2.648 * * * [progress]: generating series expansions 2.648 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 2.648 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.648 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.648 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.648 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.648 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.648 * [taylor]: Taking taylor expansion of im in im 2.648 * [backup-simplify]: Simplify 0 into 0 2.648 * [backup-simplify]: Simplify 1 into 1 2.648 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.648 * [taylor]: Taking taylor expansion of re in im 2.648 * [backup-simplify]: Simplify re into re 2.648 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.648 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.648 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.648 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.649 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.649 * [taylor]: Taking taylor expansion of im in re 2.649 * [backup-simplify]: Simplify im into im 2.649 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.649 * [taylor]: Taking taylor expansion of re in re 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.649 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.649 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.649 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.650 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.650 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.650 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.650 * [taylor]: Taking taylor expansion of im in re 2.650 * [backup-simplify]: Simplify im into im 2.650 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.650 * [taylor]: Taking taylor expansion of re in re 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.650 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.650 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.650 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.650 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.650 * [taylor]: Taking taylor expansion of im in im 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [taylor]: Taking taylor expansion of 0 in im 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.651 * [backup-simplify]: Simplify (* 1 1) into 1 2.652 * [backup-simplify]: Simplify (+ 0 1) into 1 2.652 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.652 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.652 * [taylor]: Taking taylor expansion of 1/2 in im 2.652 * [backup-simplify]: Simplify 1/2 into 1/2 2.652 * [taylor]: Taking taylor expansion of im in im 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.653 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.655 * [taylor]: Taking taylor expansion of 0 in im 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.656 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.656 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.656 * [taylor]: Taking taylor expansion of re in im 2.656 * [backup-simplify]: Simplify re into re 2.656 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.656 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.656 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.656 * [taylor]: Taking taylor expansion of im in im 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify 1 into 1 2.656 * [backup-simplify]: Simplify (* 1 1) into 1 2.656 * [backup-simplify]: Simplify (/ 1 1) into 1 2.657 * [backup-simplify]: Simplify (+ 0 1) into 1 2.657 * [backup-simplify]: Simplify (sqrt 1) into 1 2.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.658 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.658 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.658 * [taylor]: Taking taylor expansion of re in re 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (* 1 1) into 1 2.659 * [backup-simplify]: Simplify (/ 1 1) into 1 2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.659 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.659 * [taylor]: Taking taylor expansion of im in re 2.659 * [backup-simplify]: Simplify im into im 2.659 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.659 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.659 * [backup-simplify]: Simplify (+ 1 0) into 1 2.660 * [backup-simplify]: Simplify (sqrt 1) into 1 2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.661 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.661 * [taylor]: Taking taylor expansion of re in re 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (* 1 1) into 1 2.662 * [backup-simplify]: Simplify (/ 1 1) into 1 2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.662 * [taylor]: Taking taylor expansion of im in re 2.662 * [backup-simplify]: Simplify im into im 2.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.662 * [backup-simplify]: Simplify (+ 1 0) into 1 2.663 * [backup-simplify]: Simplify (sqrt 1) into 1 2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.664 * [taylor]: Taking taylor expansion of 1 in im 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [taylor]: Taking taylor expansion of 0 in im 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.666 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.666 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.666 * [taylor]: Taking taylor expansion of 1/2 in im 2.666 * [backup-simplify]: Simplify 1/2 into 1/2 2.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.666 * [taylor]: Taking taylor expansion of im in im 2.666 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (* 1 1) into 1 2.667 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.670 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.670 * [taylor]: Taking taylor expansion of 0 in im 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.672 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.672 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.672 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.672 * [taylor]: Taking taylor expansion of re in im 2.672 * [backup-simplify]: Simplify re into re 2.672 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.672 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.672 * [taylor]: Taking taylor expansion of im in im 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify 1 into 1 2.672 * [backup-simplify]: Simplify (* 1 1) into 1 2.673 * [backup-simplify]: Simplify (/ 1 1) into 1 2.673 * [backup-simplify]: Simplify (+ 0 1) into 1 2.673 * [backup-simplify]: Simplify (sqrt 1) into 1 2.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (+ 0 0) into 0 2.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.675 * [taylor]: Taking taylor expansion of re in re 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [backup-simplify]: Simplify (* 1 1) into 1 2.675 * [backup-simplify]: Simplify (/ 1 1) into 1 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.675 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.675 * [taylor]: Taking taylor expansion of im in re 2.675 * [backup-simplify]: Simplify im into im 2.675 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.676 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.676 * [backup-simplify]: Simplify (+ 1 0) into 1 2.676 * [backup-simplify]: Simplify (sqrt 1) into 1 2.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (* 1 1) into 1 2.678 * [backup-simplify]: Simplify (/ 1 1) into 1 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.678 * [backup-simplify]: Simplify im into im 2.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.678 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.679 * [backup-simplify]: Simplify (+ 1 0) into 1 2.681 * [backup-simplify]: Simplify (sqrt 1) into 1 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ 0 0) into 0 2.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.683 * [taylor]: Taking taylor expansion of 1 in im 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [taylor]: Taking taylor expansion of 0 in im 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.686 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.686 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.686 * [taylor]: Taking taylor expansion of 1/2 in im 2.686 * [backup-simplify]: Simplify 1/2 into 1/2 2.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.686 * [taylor]: Taking taylor expansion of im in im 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (* 1 1) into 1 2.687 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.691 * [backup-simplify]: Simplify (+ 0 0) into 0 2.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.692 * [taylor]: Taking taylor expansion of 0 in im 2.692 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.695 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 2.695 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.695 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.695 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.695 * [taylor]: Taking taylor expansion of im in im 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify 1 into 1 2.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.695 * [taylor]: Taking taylor expansion of re in im 2.695 * [backup-simplify]: Simplify re into re 2.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.695 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.695 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.695 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.696 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.696 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.696 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.696 * [taylor]: Taking taylor expansion of im in re 2.696 * [backup-simplify]: Simplify im into im 2.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.696 * [taylor]: Taking taylor expansion of re in re 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.697 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.697 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.697 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.697 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.697 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.697 * [taylor]: Taking taylor expansion of im in re 2.697 * [backup-simplify]: Simplify im into im 2.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.698 * [taylor]: Taking taylor expansion of re in re 2.698 * [backup-simplify]: Simplify 0 into 0 2.698 * [backup-simplify]: Simplify 1 into 1 2.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.698 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.698 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.698 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.698 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.698 * [taylor]: Taking taylor expansion of im in im 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [taylor]: Taking taylor expansion of 0 in im 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify 1 into 1 2.699 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.700 * [backup-simplify]: Simplify (* 1 1) into 1 2.700 * [backup-simplify]: Simplify (+ 0 1) into 1 2.701 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.701 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.701 * [taylor]: Taking taylor expansion of 1/2 in im 2.701 * [backup-simplify]: Simplify 1/2 into 1/2 2.701 * [taylor]: Taking taylor expansion of im in im 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.704 * [taylor]: Taking taylor expansion of 0 in im 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.706 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.706 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.706 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.706 * [taylor]: Taking taylor expansion of re in im 2.706 * [backup-simplify]: Simplify re into re 2.706 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.706 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.706 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.706 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.706 * [taylor]: Taking taylor expansion of im in im 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify (* 1 1) into 1 2.707 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [backup-simplify]: Simplify (+ 0 1) into 1 2.708 * [backup-simplify]: Simplify (sqrt 1) into 1 2.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.711 * [taylor]: Taking taylor expansion of re in re 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify (* 1 1) into 1 2.711 * [backup-simplify]: Simplify (/ 1 1) into 1 2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.711 * [taylor]: Taking taylor expansion of im in re 2.712 * [backup-simplify]: Simplify im into im 2.712 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.712 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.712 * [backup-simplify]: Simplify (+ 1 0) into 1 2.712 * [backup-simplify]: Simplify (sqrt 1) into 1 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.714 * [backup-simplify]: Simplify (+ 0 0) into 0 2.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.715 * [taylor]: Taking taylor expansion of re in re 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (* 1 1) into 1 2.716 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.716 * [taylor]: Taking taylor expansion of im in re 2.716 * [backup-simplify]: Simplify im into im 2.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.716 * [backup-simplify]: Simplify (+ 1 0) into 1 2.717 * [backup-simplify]: Simplify (sqrt 1) into 1 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ 0 0) into 0 2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.719 * [taylor]: Taking taylor expansion of 1 in im 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [taylor]: Taking taylor expansion of 0 in im 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.723 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.723 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.723 * [taylor]: Taking taylor expansion of 1/2 in im 2.723 * [backup-simplify]: Simplify 1/2 into 1/2 2.723 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.723 * [taylor]: Taking taylor expansion of im in im 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (* 1 1) into 1 2.723 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.728 * [taylor]: Taking taylor expansion of 0 in im 2.728 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.731 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.731 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.731 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.731 * [taylor]: Taking taylor expansion of re in im 2.731 * [backup-simplify]: Simplify re into re 2.731 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.731 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.731 * [taylor]: Taking taylor expansion of im in im 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [backup-simplify]: Simplify (+ 0 1) into 1 2.733 * [backup-simplify]: Simplify (sqrt 1) into 1 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.735 * [taylor]: Taking taylor expansion of re in re 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (* 1 1) into 1 2.736 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.736 * [taylor]: Taking taylor expansion of im in re 2.736 * [backup-simplify]: Simplify im into im 2.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.737 * [backup-simplify]: Simplify (+ 1 0) into 1 2.737 * [backup-simplify]: Simplify (sqrt 1) into 1 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.739 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.739 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.739 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.739 * [taylor]: Taking taylor expansion of re in re 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (* 1 1) into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.741 * [taylor]: Taking taylor expansion of im in re 2.741 * [backup-simplify]: Simplify im into im 2.741 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.741 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.741 * [backup-simplify]: Simplify (+ 1 0) into 1 2.742 * [backup-simplify]: Simplify (sqrt 1) into 1 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.744 * [taylor]: Taking taylor expansion of 1 in im 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of 0 in im 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.747 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.747 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.747 * [taylor]: Taking taylor expansion of 1/2 in im 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.747 * [taylor]: Taking taylor expansion of im in im 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in im 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.754 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 2.754 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.754 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.754 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.754 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.754 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.754 * [taylor]: Taking taylor expansion of im in im 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.754 * [taylor]: Taking taylor expansion of re in im 2.754 * [backup-simplify]: Simplify re into re 2.754 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.754 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.755 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.755 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.755 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.755 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.755 * [taylor]: Taking taylor expansion of im in re 2.755 * [backup-simplify]: Simplify im into im 2.755 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.755 * [taylor]: Taking taylor expansion of re in re 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.755 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.755 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.755 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.755 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.756 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.756 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.756 * [taylor]: Taking taylor expansion of im in re 2.756 * [backup-simplify]: Simplify im into im 2.756 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.756 * [taylor]: Taking taylor expansion of re in re 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.756 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.756 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.756 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.756 * [backup-simplify]: Simplify (+ 0 0) into 0 2.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.756 * [taylor]: Taking taylor expansion of im in im 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [taylor]: Taking taylor expansion of 0 in im 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.757 * [backup-simplify]: Simplify (* 1 1) into 1 2.757 * [backup-simplify]: Simplify (+ 0 1) into 1 2.758 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.758 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.758 * [taylor]: Taking taylor expansion of 1/2 in im 2.758 * [backup-simplify]: Simplify 1/2 into 1/2 2.758 * [taylor]: Taking taylor expansion of im in im 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify (+ 0 0) into 0 2.760 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.760 * [taylor]: Taking taylor expansion of 0 in im 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.761 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.761 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.761 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.761 * [taylor]: Taking taylor expansion of re in im 2.761 * [backup-simplify]: Simplify re into re 2.761 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.761 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.761 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.761 * [taylor]: Taking taylor expansion of im in im 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (/ 1 1) into 1 2.762 * [backup-simplify]: Simplify (+ 0 1) into 1 2.762 * [backup-simplify]: Simplify (sqrt 1) into 1 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.764 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.764 * [taylor]: Taking taylor expansion of re in re 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.764 * [backup-simplify]: Simplify (/ 1 1) into 1 2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.764 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.764 * [taylor]: Taking taylor expansion of im in re 2.764 * [backup-simplify]: Simplify im into im 2.764 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.765 * [backup-simplify]: Simplify (+ 1 0) into 1 2.765 * [backup-simplify]: Simplify (sqrt 1) into 1 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.767 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.767 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.767 * [taylor]: Taking taylor expansion of re in re 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.767 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.767 * [taylor]: Taking taylor expansion of im in re 2.767 * [backup-simplify]: Simplify im into im 2.767 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.767 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.768 * [backup-simplify]: Simplify (+ 1 0) into 1 2.768 * [backup-simplify]: Simplify (sqrt 1) into 1 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ 0 0) into 0 2.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.769 * [taylor]: Taking taylor expansion of 1 in im 2.769 * [backup-simplify]: Simplify 1 into 1 2.769 * [taylor]: Taking taylor expansion of 0 in im 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify 1 into 1 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.771 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.772 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.772 * [taylor]: Taking taylor expansion of 1/2 in im 2.772 * [backup-simplify]: Simplify 1/2 into 1/2 2.772 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.772 * [taylor]: Taking taylor expansion of im in im 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (* 1 1) into 1 2.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.775 * [backup-simplify]: Simplify (+ 0 0) into 0 2.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.775 * [taylor]: Taking taylor expansion of 0 in im 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.776 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.777 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.777 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.777 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.777 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.777 * [taylor]: Taking taylor expansion of re in im 2.777 * [backup-simplify]: Simplify re into re 2.777 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.777 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.777 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.777 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.777 * [taylor]: Taking taylor expansion of im in im 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [backup-simplify]: Simplify (+ 0 1) into 1 2.778 * [backup-simplify]: Simplify (sqrt 1) into 1 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.780 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.780 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.780 * [taylor]: Taking taylor expansion of re in re 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (* 1 1) into 1 2.780 * [backup-simplify]: Simplify (/ 1 1) into 1 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.780 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.780 * [taylor]: Taking taylor expansion of im in re 2.780 * [backup-simplify]: Simplify im into im 2.780 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.781 * [backup-simplify]: Simplify (+ 1 0) into 1 2.781 * [backup-simplify]: Simplify (sqrt 1) into 1 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.784 * [taylor]: Taking taylor expansion of re in re 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (* 1 1) into 1 2.785 * [backup-simplify]: Simplify (/ 1 1) into 1 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.785 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.785 * [taylor]: Taking taylor expansion of im in re 2.785 * [backup-simplify]: Simplify im into im 2.785 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.785 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.785 * [backup-simplify]: Simplify (+ 1 0) into 1 2.786 * [backup-simplify]: Simplify (sqrt 1) into 1 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.788 * [taylor]: Taking taylor expansion of 1 in im 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of 0 in im 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.792 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.792 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.792 * [taylor]: Taking taylor expansion of 1/2 in im 2.792 * [backup-simplify]: Simplify 1/2 into 1/2 2.792 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.792 * [taylor]: Taking taylor expansion of im in im 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.798 * [taylor]: Taking taylor expansion of 0 in im 2.798 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.800 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.801 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 2.801 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 2.801 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 2.801 * [taylor]: Taking taylor expansion of re in im 2.801 * [backup-simplify]: Simplify re into re 2.801 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.801 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.801 * [taylor]: Taking taylor expansion of im in im 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.801 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.801 * [taylor]: Taking taylor expansion of re in im 2.801 * [backup-simplify]: Simplify re into re 2.801 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.801 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.801 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.802 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.802 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.802 * [taylor]: Taking taylor expansion of re in re 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.802 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.802 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.802 * [taylor]: Taking taylor expansion of im in re 2.802 * [backup-simplify]: Simplify im into im 2.802 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.802 * [taylor]: Taking taylor expansion of re in re 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.803 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.803 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.803 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.804 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 2.804 * [taylor]: Taking taylor expansion of re in re 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.804 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.804 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.804 * [taylor]: Taking taylor expansion of im in re 2.804 * [backup-simplify]: Simplify im into im 2.804 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.804 * [taylor]: Taking taylor expansion of re in re 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.804 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.804 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.804 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.805 * [backup-simplify]: Simplify (+ 0 im) into im 2.805 * [taylor]: Taking taylor expansion of im in im 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ 1 0) into 1 2.806 * [taylor]: Taking taylor expansion of 1 in im 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (+ 0 1) into 1 2.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.813 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.813 * [taylor]: Taking taylor expansion of 1/2 in im 2.813 * [backup-simplify]: Simplify 1/2 into 1/2 2.813 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.813 * [taylor]: Taking taylor expansion of im in im 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [taylor]: Taking taylor expansion of 0 in im 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.819 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 2.819 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.819 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.819 * [taylor]: Taking taylor expansion of re in im 2.819 * [backup-simplify]: Simplify re into re 2.819 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.819 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.820 * [taylor]: Taking taylor expansion of re in im 2.820 * [backup-simplify]: Simplify re into re 2.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.820 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.820 * [taylor]: Taking taylor expansion of im in im 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [backup-simplify]: Simplify (+ 0 1) into 1 2.821 * [backup-simplify]: Simplify (sqrt 1) into 1 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.822 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.822 * [taylor]: Taking taylor expansion of re in re 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.823 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.823 * [taylor]: Taking taylor expansion of re in re 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.823 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.823 * [taylor]: Taking taylor expansion of im in re 2.823 * [backup-simplify]: Simplify im into im 2.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.823 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.824 * [backup-simplify]: Simplify (+ 1 0) into 1 2.824 * [backup-simplify]: Simplify (sqrt 1) into 1 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.826 * [taylor]: Taking taylor expansion of re in re 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.826 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.826 * [taylor]: Taking taylor expansion of re in re 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.827 * [taylor]: Taking taylor expansion of im in re 2.827 * [backup-simplify]: Simplify im into im 2.827 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.827 * [backup-simplify]: Simplify (sqrt 1) into 1 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.829 * [backup-simplify]: Simplify (+ 1 1) into 2 2.829 * [taylor]: Taking taylor expansion of 2 in im 2.829 * [backup-simplify]: Simplify 2 into 2 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [taylor]: Taking taylor expansion of 0 in im 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 2 into 2 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.832 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.832 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.832 * [taylor]: Taking taylor expansion of 1/2 in im 2.832 * [backup-simplify]: Simplify 1/2 into 1/2 2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.833 * [taylor]: Taking taylor expansion of im in im 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (* 1 1) into 1 2.833 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [taylor]: Taking taylor expansion of 0 in im 2.837 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.840 * [backup-simplify]: Simplify (+ (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.840 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.840 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.840 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.840 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.840 * [taylor]: Taking taylor expansion of re in im 2.840 * [backup-simplify]: Simplify re into re 2.840 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.840 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.840 * [taylor]: Taking taylor expansion of im in im 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.841 * [backup-simplify]: Simplify (+ 0 1) into 1 2.841 * [backup-simplify]: Simplify (sqrt 1) into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.843 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.843 * [taylor]: Taking taylor expansion of re in im 2.843 * [backup-simplify]: Simplify re into re 2.843 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.843 * [taylor]: Taking taylor expansion of re in re 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ 1 1) into 1 2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.844 * [taylor]: Taking taylor expansion of im in re 2.844 * [backup-simplify]: Simplify im into im 2.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.844 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.844 * [backup-simplify]: Simplify (+ 1 0) into 1 2.844 * [backup-simplify]: Simplify (sqrt 1) into 1 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.846 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.846 * [taylor]: Taking taylor expansion of re in re 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (/ 1 1) into 1 2.846 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.846 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.846 * [taylor]: Taking taylor expansion of re in re 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (* 1 1) into 1 2.847 * [backup-simplify]: Simplify (/ 1 1) into 1 2.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.847 * [taylor]: Taking taylor expansion of im in re 2.847 * [backup-simplify]: Simplify im into im 2.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.847 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.847 * [backup-simplify]: Simplify (+ 1 0) into 1 2.847 * [backup-simplify]: Simplify (sqrt 1) into 1 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.849 * [taylor]: Taking taylor expansion of re in re 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 1 into 1 2.850 * [backup-simplify]: Simplify (/ 1 1) into 1 2.850 * [backup-simplify]: Simplify (- 1) into -1 2.851 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.851 * [taylor]: Taking taylor expansion of 0 in im 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [taylor]: Taking taylor expansion of 0 in im 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.856 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (- 0) into 0 2.857 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.857 * [taylor]: Taking taylor expansion of 1/2 in im 2.857 * [backup-simplify]: Simplify 1/2 into 1/2 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.857 * [taylor]: Taking taylor expansion of im in im 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* 1 1) into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [taylor]: Taking taylor expansion of 0 in im 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * * * [progress]: simplifying candidates 2.869 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 2.869 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 16 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) re)))))> 2.870 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 2.870 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 2.871 * * * * [progress]: [ 32 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 2.871 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 2.872 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 48 / 72 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))> 2.873 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 2.873 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)))))))> 2.874 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 2.874 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 2.876 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (* (exp (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (real->posit16 (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) im re (* -1 re) im re (* -1 re) im re (* -1 re) (+ re im) (* 2 re) 0 2.878 * * [simplify]: iteration 1: (64 enodes) 2.903 * * [simplify]: iteration 2: (163 enodes) 2.988 * * [simplify]: iteration 3: (395 enodes) 3.184 * * [simplify]: iteration 4: (1084 enodes) 4.107 * * [simplify]: Extracting #0: cost 33 inf + 0 4.107 * * [simplify]: Extracting #1: cost 160 inf + 5 4.109 * * [simplify]: Extracting #2: cost 438 inf + 1217 4.129 * * [simplify]: Extracting #3: cost 508 inf + 34441 4.170 * * [simplify]: Extracting #4: cost 157 inf + 181037 4.234 * * [simplify]: Extracting #5: cost 6 inf + 252724 4.327 * * [simplify]: Extracting #6: cost 0 inf + 254989 4.408 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (- (* im im) (* re re)) (* im im)) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (+ (sqrt (+ (* re re) (* im im))) re) (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (* re (* re re)) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) (- (sqrt (+ (* re re) (* im im))) re))) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) im re (- re) im re (- re) im re (- re) (+ re im) (* re 2) 0 4.417 * * * [progress]: adding candidates to table 5.481 * * [progress]: iteration 3 / 4 5.481 * * * [progress]: picking best candidate 5.502 * * * * [pick]: Picked # 5.502 * * * [progress]: localizing error 5.572 * * * [progress]: generating rewritten candidates 5.572 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1 2 1) 5.588 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1 2 1) 5.601 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 2 1 1 1 1) 5.613 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 5.626 * * * [progress]: generating series expansions 5.626 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1 2 1) 5.626 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.627 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.627 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.627 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.627 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.627 * [taylor]: Taking taylor expansion of im in im 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 1 into 1 5.627 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.627 * [taylor]: Taking taylor expansion of re in im 5.627 * [backup-simplify]: Simplify re into re 5.627 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.627 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.627 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.627 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.628 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.628 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.628 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.628 * [taylor]: Taking taylor expansion of im in re 5.628 * [backup-simplify]: Simplify im into im 5.628 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.628 * [taylor]: Taking taylor expansion of re in re 5.628 * [backup-simplify]: Simplify 0 into 0 5.628 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.628 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.628 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.628 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.629 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.629 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.629 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.629 * [taylor]: Taking taylor expansion of im in re 5.629 * [backup-simplify]: Simplify im into im 5.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.629 * [taylor]: Taking taylor expansion of re in re 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.629 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.629 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.629 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.630 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.630 * [backup-simplify]: Simplify (+ 0 0) into 0 5.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.630 * [taylor]: Taking taylor expansion of im in im 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [taylor]: Taking taylor expansion of 0 in im 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.631 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.631 * [backup-simplify]: Simplify (* 1 1) into 1 5.632 * [backup-simplify]: Simplify (+ 0 1) into 1 5.633 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.633 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.633 * [taylor]: Taking taylor expansion of 1/2 in im 5.633 * [backup-simplify]: Simplify 1/2 into 1/2 5.633 * [taylor]: Taking taylor expansion of im in im 5.633 * [backup-simplify]: Simplify 0 into 0 5.633 * [backup-simplify]: Simplify 1 into 1 5.633 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.636 * [backup-simplify]: Simplify (+ 0 0) into 0 5.636 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.636 * [taylor]: Taking taylor expansion of 0 in im 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.638 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.638 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.638 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.638 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.638 * [taylor]: Taking taylor expansion of re in im 5.638 * [backup-simplify]: Simplify re into re 5.638 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.638 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.638 * [taylor]: Taking taylor expansion of im in im 5.638 * [backup-simplify]: Simplify 0 into 0 5.638 * [backup-simplify]: Simplify 1 into 1 5.639 * [backup-simplify]: Simplify (* 1 1) into 1 5.639 * [backup-simplify]: Simplify (/ 1 1) into 1 5.640 * [backup-simplify]: Simplify (+ 0 1) into 1 5.640 * [backup-simplify]: Simplify (sqrt 1) into 1 5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (+ 0 0) into 0 5.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.643 * [taylor]: Taking taylor expansion of re in re 5.643 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify 1 into 1 5.643 * [backup-simplify]: Simplify (* 1 1) into 1 5.644 * [backup-simplify]: Simplify (/ 1 1) into 1 5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.644 * [taylor]: Taking taylor expansion of im in re 5.644 * [backup-simplify]: Simplify im into im 5.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.645 * [backup-simplify]: Simplify (+ 1 0) into 1 5.645 * [backup-simplify]: Simplify (sqrt 1) into 1 5.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.648 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.648 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.648 * [taylor]: Taking taylor expansion of re in re 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 1 into 1 5.648 * [backup-simplify]: Simplify (* 1 1) into 1 5.649 * [backup-simplify]: Simplify (/ 1 1) into 1 5.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.649 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.649 * [taylor]: Taking taylor expansion of im in re 5.649 * [backup-simplify]: Simplify im into im 5.649 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.649 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.649 * [backup-simplify]: Simplify (+ 1 0) into 1 5.650 * [backup-simplify]: Simplify (sqrt 1) into 1 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.653 * [taylor]: Taking taylor expansion of 1 in im 5.653 * [backup-simplify]: Simplify 1 into 1 5.653 * [taylor]: Taking taylor expansion of 0 in im 5.653 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.655 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.656 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.656 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.656 * [taylor]: Taking taylor expansion of 1/2 in im 5.656 * [backup-simplify]: Simplify 1/2 into 1/2 5.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.656 * [taylor]: Taking taylor expansion of im in im 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.657 * [backup-simplify]: Simplify (* 1 1) into 1 5.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.661 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.662 * [backup-simplify]: Simplify (+ 0 0) into 0 5.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.662 * [taylor]: Taking taylor expansion of 0 in im 5.662 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.665 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.665 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.665 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.665 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.665 * [taylor]: Taking taylor expansion of re in im 5.665 * [backup-simplify]: Simplify re into re 5.665 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.665 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.665 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.665 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.665 * [taylor]: Taking taylor expansion of im in im 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [backup-simplify]: Simplify (* 1 1) into 1 5.666 * [backup-simplify]: Simplify (/ 1 1) into 1 5.667 * [backup-simplify]: Simplify (+ 0 1) into 1 5.667 * [backup-simplify]: Simplify (sqrt 1) into 1 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.669 * [backup-simplify]: Simplify (+ 0 0) into 0 5.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.670 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.670 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.670 * [taylor]: Taking taylor expansion of re in re 5.670 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (* 1 1) into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.671 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.671 * [taylor]: Taking taylor expansion of im in re 5.671 * [backup-simplify]: Simplify im into im 5.671 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.671 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.672 * [backup-simplify]: Simplify (+ 1 0) into 1 5.672 * [backup-simplify]: Simplify (sqrt 1) into 1 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.675 * [taylor]: Taking taylor expansion of re in re 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 1 into 1 5.675 * [backup-simplify]: Simplify (* 1 1) into 1 5.676 * [backup-simplify]: Simplify (/ 1 1) into 1 5.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.676 * [taylor]: Taking taylor expansion of im in re 5.676 * [backup-simplify]: Simplify im into im 5.676 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.676 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.676 * [backup-simplify]: Simplify (+ 1 0) into 1 5.677 * [backup-simplify]: Simplify (sqrt 1) into 1 5.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.680 * [taylor]: Taking taylor expansion of 1 in im 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [taylor]: Taking taylor expansion of 0 in im 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.682 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.684 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.684 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.684 * [taylor]: Taking taylor expansion of 1/2 in im 5.684 * [backup-simplify]: Simplify 1/2 into 1/2 5.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.684 * [taylor]: Taking taylor expansion of im in im 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (* 1 1) into 1 5.685 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.689 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.690 * [backup-simplify]: Simplify (+ 0 0) into 0 5.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.690 * [taylor]: Taking taylor expansion of 0 in im 5.690 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.693 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1 2 1) 5.693 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.693 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.693 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.693 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.693 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.693 * [taylor]: Taking taylor expansion of im in im 5.693 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify 1 into 1 5.693 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.693 * [taylor]: Taking taylor expansion of re in im 5.693 * [backup-simplify]: Simplify re into re 5.693 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.694 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.694 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.694 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.694 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.694 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.694 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.694 * [taylor]: Taking taylor expansion of im in re 5.694 * [backup-simplify]: Simplify im into im 5.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.695 * [taylor]: Taking taylor expansion of re in re 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 1 into 1 5.695 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.695 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.695 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.695 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.695 * [backup-simplify]: Simplify (+ 0 0) into 0 5.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.696 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.696 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.696 * [taylor]: Taking taylor expansion of im in re 5.696 * [backup-simplify]: Simplify im into im 5.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.696 * [taylor]: Taking taylor expansion of re in re 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 1 into 1 5.696 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.696 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.696 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.696 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.697 * [taylor]: Taking taylor expansion of im in im 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 1 into 1 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [taylor]: Taking taylor expansion of 0 in im 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify 1 into 1 5.698 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.698 * [backup-simplify]: Simplify (* 1 1) into 1 5.698 * [backup-simplify]: Simplify (+ 0 1) into 1 5.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.699 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.699 * [taylor]: Taking taylor expansion of 1/2 in im 5.699 * [backup-simplify]: Simplify 1/2 into 1/2 5.699 * [taylor]: Taking taylor expansion of im in im 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.700 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify 0 into 0 5.702 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.703 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.703 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.703 * [taylor]: Taking taylor expansion of 0 in im 5.703 * [backup-simplify]: Simplify 0 into 0 5.703 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.705 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.705 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.705 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.705 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.705 * [taylor]: Taking taylor expansion of re in im 5.705 * [backup-simplify]: Simplify re into re 5.705 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.705 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.705 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.705 * [taylor]: Taking taylor expansion of im in im 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 1 into 1 5.706 * [backup-simplify]: Simplify (* 1 1) into 1 5.706 * [backup-simplify]: Simplify (/ 1 1) into 1 5.707 * [backup-simplify]: Simplify (+ 0 1) into 1 5.707 * [backup-simplify]: Simplify (sqrt 1) into 1 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.709 * [backup-simplify]: Simplify (+ 0 0) into 0 5.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.714 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.714 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.714 * [taylor]: Taking taylor expansion of re in re 5.714 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify 1 into 1 5.715 * [backup-simplify]: Simplify (* 1 1) into 1 5.715 * [backup-simplify]: Simplify (/ 1 1) into 1 5.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.716 * [taylor]: Taking taylor expansion of im in re 5.716 * [backup-simplify]: Simplify im into im 5.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.716 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.716 * [backup-simplify]: Simplify (+ 1 0) into 1 5.717 * [backup-simplify]: Simplify (sqrt 1) into 1 5.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.719 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.719 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.719 * [taylor]: Taking taylor expansion of re in re 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.720 * [backup-simplify]: Simplify (* 1 1) into 1 5.720 * [backup-simplify]: Simplify (/ 1 1) into 1 5.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.720 * [taylor]: Taking taylor expansion of im in re 5.720 * [backup-simplify]: Simplify im into im 5.720 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.721 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.721 * [backup-simplify]: Simplify (+ 1 0) into 1 5.721 * [backup-simplify]: Simplify (sqrt 1) into 1 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.724 * [taylor]: Taking taylor expansion of 1 in im 5.724 * [backup-simplify]: Simplify 1 into 1 5.724 * [taylor]: Taking taylor expansion of 0 in im 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.726 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.728 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.728 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.728 * [taylor]: Taking taylor expansion of 1/2 in im 5.728 * [backup-simplify]: Simplify 1/2 into 1/2 5.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.728 * [taylor]: Taking taylor expansion of im in im 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.728 * [backup-simplify]: Simplify (* 1 1) into 1 5.729 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.733 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.733 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.734 * [taylor]: Taking taylor expansion of 0 in im 5.734 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.737 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.737 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.737 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.737 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.737 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.737 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.737 * [taylor]: Taking taylor expansion of re in im 5.737 * [backup-simplify]: Simplify re into re 5.737 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.737 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.737 * [taylor]: Taking taylor expansion of im in im 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 1 into 1 5.738 * [backup-simplify]: Simplify (* 1 1) into 1 5.738 * [backup-simplify]: Simplify (/ 1 1) into 1 5.738 * [backup-simplify]: Simplify (+ 0 1) into 1 5.739 * [backup-simplify]: Simplify (sqrt 1) into 1 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.741 * [backup-simplify]: Simplify (+ 0 0) into 0 5.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.742 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.742 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.742 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.742 * [taylor]: Taking taylor expansion of re in re 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [backup-simplify]: Simplify (* 1 1) into 1 5.743 * [backup-simplify]: Simplify (/ 1 1) into 1 5.743 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.743 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.743 * [taylor]: Taking taylor expansion of im in re 5.743 * [backup-simplify]: Simplify im into im 5.743 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.743 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.744 * [backup-simplify]: Simplify (+ 1 0) into 1 5.744 * [backup-simplify]: Simplify (sqrt 1) into 1 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.746 * [taylor]: Taking taylor expansion of re in re 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [backup-simplify]: Simplify (* 1 1) into 1 5.746 * [backup-simplify]: Simplify (/ 1 1) into 1 5.746 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.746 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.746 * [taylor]: Taking taylor expansion of im in re 5.746 * [backup-simplify]: Simplify im into im 5.746 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.746 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.747 * [backup-simplify]: Simplify (+ 1 0) into 1 5.747 * [backup-simplify]: Simplify (sqrt 1) into 1 5.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.748 * [backup-simplify]: Simplify (+ 0 0) into 0 5.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.749 * [taylor]: Taking taylor expansion of 1 in im 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [taylor]: Taking taylor expansion of 0 in im 5.749 * [backup-simplify]: Simplify 0 into 0 5.749 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.751 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.751 * [taylor]: Taking taylor expansion of 1/2 in im 5.751 * [backup-simplify]: Simplify 1/2 into 1/2 5.751 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.751 * [taylor]: Taking taylor expansion of im in im 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [backup-simplify]: Simplify (* 1 1) into 1 5.751 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.754 * [backup-simplify]: Simplify (+ 0 0) into 0 5.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.754 * [taylor]: Taking taylor expansion of 0 in im 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.756 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 2 1 1 1 1) 5.756 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.756 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.756 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.756 * [taylor]: Taking taylor expansion of im in im 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.756 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.756 * [taylor]: Taking taylor expansion of re in im 5.756 * [backup-simplify]: Simplify re into re 5.756 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.756 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.756 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.756 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.757 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.757 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.757 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.757 * [taylor]: Taking taylor expansion of im in re 5.757 * [backup-simplify]: Simplify im into im 5.757 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.757 * [taylor]: Taking taylor expansion of re in re 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.757 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.757 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.757 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.757 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.757 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.757 * [taylor]: Taking taylor expansion of im in re 5.757 * [backup-simplify]: Simplify im into im 5.757 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.757 * [taylor]: Taking taylor expansion of re in re 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.758 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.758 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.758 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.758 * [backup-simplify]: Simplify (+ 0 0) into 0 5.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.758 * [taylor]: Taking taylor expansion of im in im 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [taylor]: Taking taylor expansion of 0 in im 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 1 into 1 5.758 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.759 * [backup-simplify]: Simplify (* 1 1) into 1 5.759 * [backup-simplify]: Simplify (+ 0 1) into 1 5.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.760 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.760 * [taylor]: Taking taylor expansion of 1/2 in im 5.760 * [backup-simplify]: Simplify 1/2 into 1/2 5.760 * [taylor]: Taking taylor expansion of im in im 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.762 * [backup-simplify]: Simplify (+ 0 0) into 0 5.762 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.762 * [taylor]: Taking taylor expansion of 0 in im 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.763 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.763 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.763 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.763 * [taylor]: Taking taylor expansion of re in im 5.763 * [backup-simplify]: Simplify re into re 5.763 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.763 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.763 * [taylor]: Taking taylor expansion of im in im 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 1 into 1 5.763 * [backup-simplify]: Simplify (* 1 1) into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.764 * [backup-simplify]: Simplify (+ 0 1) into 1 5.764 * [backup-simplify]: Simplify (sqrt 1) into 1 5.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.766 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.766 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.766 * [taylor]: Taking taylor expansion of re in re 5.766 * [backup-simplify]: Simplify 0 into 0 5.766 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (* 1 1) into 1 5.766 * [backup-simplify]: Simplify (/ 1 1) into 1 5.766 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.766 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.766 * [taylor]: Taking taylor expansion of im in re 5.766 * [backup-simplify]: Simplify im into im 5.766 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.766 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.767 * [backup-simplify]: Simplify (+ 1 0) into 1 5.767 * [backup-simplify]: Simplify (sqrt 1) into 1 5.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.768 * [backup-simplify]: Simplify (+ 0 0) into 0 5.768 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.768 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.769 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.769 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.769 * [taylor]: Taking taylor expansion of re in re 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 1 into 1 5.769 * [backup-simplify]: Simplify (* 1 1) into 1 5.769 * [backup-simplify]: Simplify (/ 1 1) into 1 5.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.769 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.769 * [taylor]: Taking taylor expansion of im in re 5.769 * [backup-simplify]: Simplify im into im 5.769 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.769 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.770 * [backup-simplify]: Simplify (+ 1 0) into 1 5.770 * [backup-simplify]: Simplify (sqrt 1) into 1 5.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.771 * [backup-simplify]: Simplify (+ 0 0) into 0 5.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.771 * [taylor]: Taking taylor expansion of 1 in im 5.771 * [backup-simplify]: Simplify 1 into 1 5.771 * [taylor]: Taking taylor expansion of 0 in im 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.773 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.774 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.774 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.774 * [taylor]: Taking taylor expansion of 1/2 in im 5.774 * [backup-simplify]: Simplify 1/2 into 1/2 5.774 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.774 * [taylor]: Taking taylor expansion of im in im 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 1 into 1 5.775 * [backup-simplify]: Simplify (* 1 1) into 1 5.775 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.780 * [backup-simplify]: Simplify (+ 0 0) into 0 5.780 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.780 * [taylor]: Taking taylor expansion of 0 in im 5.780 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.782 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.783 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.783 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.783 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.783 * [taylor]: Taking taylor expansion of re in im 5.783 * [backup-simplify]: Simplify re into re 5.783 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.783 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.783 * [taylor]: Taking taylor expansion of im in im 5.783 * [backup-simplify]: Simplify 0 into 0 5.784 * [backup-simplify]: Simplify 1 into 1 5.784 * [backup-simplify]: Simplify (* 1 1) into 1 5.784 * [backup-simplify]: Simplify (/ 1 1) into 1 5.785 * [backup-simplify]: Simplify (+ 0 1) into 1 5.785 * [backup-simplify]: Simplify (sqrt 1) into 1 5.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.787 * [backup-simplify]: Simplify (+ 0 0) into 0 5.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.788 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.788 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.788 * [taylor]: Taking taylor expansion of re in re 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 1 into 1 5.788 * [backup-simplify]: Simplify (* 1 1) into 1 5.789 * [backup-simplify]: Simplify (/ 1 1) into 1 5.789 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.789 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.789 * [taylor]: Taking taylor expansion of im in re 5.789 * [backup-simplify]: Simplify im into im 5.789 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.789 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.790 * [backup-simplify]: Simplify (+ 1 0) into 1 5.790 * [backup-simplify]: Simplify (sqrt 1) into 1 5.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.792 * [backup-simplify]: Simplify (+ 0 0) into 0 5.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.793 * [taylor]: Taking taylor expansion of re in re 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 1 into 1 5.793 * [backup-simplify]: Simplify (* 1 1) into 1 5.794 * [backup-simplify]: Simplify (/ 1 1) into 1 5.794 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.794 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.794 * [taylor]: Taking taylor expansion of im in re 5.794 * [backup-simplify]: Simplify im into im 5.794 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.794 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.794 * [backup-simplify]: Simplify (+ 1 0) into 1 5.795 * [backup-simplify]: Simplify (sqrt 1) into 1 5.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify (+ 0 0) into 0 5.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.797 * [taylor]: Taking taylor expansion of 1 in im 5.797 * [backup-simplify]: Simplify 1 into 1 5.798 * [taylor]: Taking taylor expansion of 0 in im 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.801 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.802 * [taylor]: Taking taylor expansion of 1/2 in im 5.802 * [backup-simplify]: Simplify 1/2 into 1/2 5.802 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.802 * [taylor]: Taking taylor expansion of im in im 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [backup-simplify]: Simplify 1 into 1 5.802 * [backup-simplify]: Simplify (* 1 1) into 1 5.803 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.807 * [backup-simplify]: Simplify (+ 0 0) into 0 5.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.808 * [taylor]: Taking taylor expansion of 0 in im 5.808 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.810 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 2 1) 5.810 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 5.810 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 5.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 5.810 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 5.810 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.810 * [taylor]: Taking taylor expansion of im in im 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [backup-simplify]: Simplify 1 into 1 5.810 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.811 * [taylor]: Taking taylor expansion of re in im 5.811 * [backup-simplify]: Simplify re into re 5.811 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.811 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 5.811 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.811 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.811 * [backup-simplify]: Simplify (+ 0 0) into 0 5.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.811 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.812 * [taylor]: Taking taylor expansion of im in re 5.812 * [backup-simplify]: Simplify im into im 5.812 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.812 * [taylor]: Taking taylor expansion of re in re 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 1 into 1 5.812 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.812 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.812 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.812 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.812 * [backup-simplify]: Simplify (+ 0 0) into 0 5.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.813 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 5.813 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 5.813 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.813 * [taylor]: Taking taylor expansion of im in re 5.813 * [backup-simplify]: Simplify im into im 5.813 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.813 * [taylor]: Taking taylor expansion of re in re 5.813 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.813 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 5.813 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.813 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.813 * [backup-simplify]: Simplify (+ 0 0) into 0 5.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.814 * [taylor]: Taking taylor expansion of im in im 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [taylor]: Taking taylor expansion of 0 in im 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify 1 into 1 5.814 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.815 * [backup-simplify]: Simplify (* 1 1) into 1 5.815 * [backup-simplify]: Simplify (+ 0 1) into 1 5.816 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.816 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.816 * [taylor]: Taking taylor expansion of 1/2 in im 5.816 * [backup-simplify]: Simplify 1/2 into 1/2 5.816 * [taylor]: Taking taylor expansion of im in im 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.820 * [backup-simplify]: Simplify (+ 0 0) into 0 5.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.820 * [taylor]: Taking taylor expansion of 0 in im 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.821 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.821 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.822 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.822 * [taylor]: Taking taylor expansion of re in im 5.822 * [backup-simplify]: Simplify re into re 5.822 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.822 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.822 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.822 * [taylor]: Taking taylor expansion of im in im 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [backup-simplify]: Simplify (* 1 1) into 1 5.823 * [backup-simplify]: Simplify (/ 1 1) into 1 5.823 * [backup-simplify]: Simplify (+ 0 1) into 1 5.823 * [backup-simplify]: Simplify (sqrt 1) into 1 5.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.825 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.825 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.825 * [taylor]: Taking taylor expansion of re in re 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (* 1 1) into 1 5.826 * [backup-simplify]: Simplify (/ 1 1) into 1 5.826 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.826 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.826 * [taylor]: Taking taylor expansion of im in re 5.826 * [backup-simplify]: Simplify im into im 5.826 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.826 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.826 * [backup-simplify]: Simplify (+ 1 0) into 1 5.827 * [backup-simplify]: Simplify (sqrt 1) into 1 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify (+ 0 0) into 0 5.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.828 * [taylor]: Taking taylor expansion of re in re 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (* 1 1) into 1 5.829 * [backup-simplify]: Simplify (/ 1 1) into 1 5.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.829 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.829 * [taylor]: Taking taylor expansion of im in re 5.829 * [backup-simplify]: Simplify im into im 5.829 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.829 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.829 * [backup-simplify]: Simplify (+ 1 0) into 1 5.829 * [backup-simplify]: Simplify (sqrt 1) into 1 5.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.831 * [backup-simplify]: Simplify (+ 0 0) into 0 5.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.831 * [taylor]: Taking taylor expansion of 1 in im 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [taylor]: Taking taylor expansion of 0 in im 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.833 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.833 * [taylor]: Taking taylor expansion of 1/2 in im 5.833 * [backup-simplify]: Simplify 1/2 into 1/2 5.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.833 * [taylor]: Taking taylor expansion of im in im 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify 1 into 1 5.833 * [backup-simplify]: Simplify (* 1 1) into 1 5.834 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.836 * [backup-simplify]: Simplify (+ 0 0) into 0 5.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.837 * [taylor]: Taking taylor expansion of 0 in im 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.842 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 5.842 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 5.842 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 5.842 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 5.842 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 5.842 * [taylor]: Taking taylor expansion of (pow re 2) in im 5.842 * [taylor]: Taking taylor expansion of re in im 5.842 * [backup-simplify]: Simplify re into re 5.842 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.842 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 5.842 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.842 * [taylor]: Taking taylor expansion of im in im 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 1 into 1 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.843 * [backup-simplify]: Simplify (/ 1 1) into 1 5.843 * [backup-simplify]: Simplify (+ 0 1) into 1 5.844 * [backup-simplify]: Simplify (sqrt 1) into 1 5.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (+ 0 0) into 0 5.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.845 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.845 * [taylor]: Taking taylor expansion of re in re 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify 1 into 1 5.845 * [backup-simplify]: Simplify (* 1 1) into 1 5.846 * [backup-simplify]: Simplify (/ 1 1) into 1 5.846 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.846 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.846 * [taylor]: Taking taylor expansion of im in re 5.846 * [backup-simplify]: Simplify im into im 5.846 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.846 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.846 * [backup-simplify]: Simplify (+ 1 0) into 1 5.846 * [backup-simplify]: Simplify (sqrt 1) into 1 5.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 5.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 5.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 5.848 * [taylor]: Taking taylor expansion of (pow re 2) in re 5.848 * [taylor]: Taking taylor expansion of re in re 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 1 into 1 5.848 * [backup-simplify]: Simplify (* 1 1) into 1 5.849 * [backup-simplify]: Simplify (/ 1 1) into 1 5.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 5.849 * [taylor]: Taking taylor expansion of (pow im 2) in re 5.849 * [taylor]: Taking taylor expansion of im in re 5.849 * [backup-simplify]: Simplify im into im 5.849 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.849 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 5.849 * [backup-simplify]: Simplify (+ 1 0) into 1 5.849 * [backup-simplify]: Simplify (sqrt 1) into 1 5.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (+ 0 0) into 0 5.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.851 * [taylor]: Taking taylor expansion of 1 in im 5.851 * [backup-simplify]: Simplify 1 into 1 5.851 * [taylor]: Taking taylor expansion of 0 in im 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 1 into 1 5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.854 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.854 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.854 * [taylor]: Taking taylor expansion of 1/2 in im 5.854 * [backup-simplify]: Simplify 1/2 into 1/2 5.854 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.854 * [taylor]: Taking taylor expansion of im in im 5.854 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (* 1 1) into 1 5.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 0 into 0 5.857 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 5.859 * [backup-simplify]: Simplify (+ 0 0) into 0 5.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.860 * [taylor]: Taking taylor expansion of 0 in im 5.860 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.862 * * * [progress]: simplifying candidates 5.862 * * * * [progress]: [ 1 / 76 ] simplifiying candidate # 5.862 * * * * [progress]: [ 2 / 76 ] simplifiying candidate # 5.862 * * * * [progress]: [ 3 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 4 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 5 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 6 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 7 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 8 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 9 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 10 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 11 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 12 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 13 / 76 ] simplifiying candidate # 5.863 * * * * [progress]: [ 14 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 15 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 16 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))))) re)))))> 5.864 * * * * [progress]: [ 17 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 18 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 19 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 20 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 21 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 22 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 23 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 24 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 25 / 76 ] simplifiying candidate # 5.864 * * * * [progress]: [ 26 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 27 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 28 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 29 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 30 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 31 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 32 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> 5.865 * * * * [progress]: [ 33 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 34 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 35 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 36 / 76 ] simplifiying candidate # 5.865 * * * * [progress]: [ 37 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 38 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 39 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 40 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 41 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 42 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 43 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 44 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 45 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 46 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 47 / 76 ] simplifiying candidate # 5.866 * * * * [progress]: [ 48 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im)))))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> 5.867 * * * * [progress]: [ 49 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 50 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 51 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 52 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 53 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 54 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 55 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 56 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 57 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 58 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 59 / 76 ] simplifiying candidate # 5.867 * * * * [progress]: [ 60 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 61 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 62 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 63 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 64 / 76 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))))) (cbrt (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))))) re)))))> 5.868 * * * * [progress]: [ 65 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 66 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 67 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 68 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 69 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 70 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 71 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 72 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 73 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 74 / 76 ] simplifiying candidate # 5.868 * * * * [progress]: [ 75 / 76 ] simplifiying candidate # 5.869 * * * * [progress]: [ 76 / 76 ] simplifiying candidate # 5.870 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (* -1 re) im re (* -1 re) im re (* -1 re) im re (* -1 re) 5.871 * * [simplify]: iteration 1: (39 enodes) 5.886 * * [simplify]: iteration 2: (90 enodes) 5.923 * * [simplify]: iteration 3: (194 enodes) 6.024 * * [simplify]: iteration 4: (435 enodes) 6.173 * * [simplify]: iteration 5: (989 enodes) 6.799 * * [simplify]: Extracting #0: cost 19 inf + 0 6.800 * * [simplify]: Extracting #1: cost 27 inf + 4 6.800 * * [simplify]: Extracting #2: cost 181 inf + 47 6.805 * * [simplify]: Extracting #3: cost 534 inf + 8143 6.827 * * [simplify]: Extracting #4: cost 400 inf + 58679 6.884 * * [simplify]: Extracting #5: cost 60 inf + 137361 6.925 * * [simplify]: Extracting #6: cost 20 inf + 154231 6.980 * * [simplify]: Extracting #7: cost 6 inf + 160400 7.045 * * [simplify]: Extracting #8: cost 0 inf + 164091 7.107 * [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)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* re re) (* (* re re) (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (- (* re re) (* im im))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) im re (- re) im re (- re) im re (- re) im re (- re) 7.132 * * * [progress]: adding candidates to table 8.366 * * [progress]: iteration 4 / 4 8.366 * * * [progress]: picking best candidate 8.381 * * * * [pick]: Picked # 8.381 * * * [progress]: localizing error 8.419 * * * [progress]: generating rewritten candidates 8.419 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 8.431 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 8.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.530 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 8.574 * * * [progress]: generating series expansions 8.574 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 8.574 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 8.574 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 8.574 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.574 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.574 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.574 * [taylor]: Taking taylor expansion of im in im 8.574 * [backup-simplify]: Simplify 0 into 0 8.574 * [backup-simplify]: Simplify 1 into 1 8.574 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.574 * [taylor]: Taking taylor expansion of re in im 8.574 * [backup-simplify]: Simplify re into re 8.575 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.575 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.575 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.575 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.576 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.576 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.576 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.576 * [taylor]: Taking taylor expansion of im in re 8.576 * [backup-simplify]: Simplify im into im 8.576 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.576 * [taylor]: Taking taylor expansion of re in re 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.576 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.576 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.576 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.577 * [backup-simplify]: Simplify (+ 0 0) into 0 8.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.577 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.577 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.577 * [taylor]: Taking taylor expansion of im in re 8.577 * [backup-simplify]: Simplify im into im 8.577 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.577 * [taylor]: Taking taylor expansion of re in re 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.577 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.577 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.577 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.578 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.578 * [taylor]: Taking taylor expansion of im in im 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [taylor]: Taking taylor expansion of 0 in im 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.579 * [backup-simplify]: Simplify (* 1 1) into 1 8.580 * [backup-simplify]: Simplify (+ 0 1) into 1 8.580 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.580 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.581 * [taylor]: Taking taylor expansion of 1/2 in im 8.581 * [backup-simplify]: Simplify 1/2 into 1/2 8.581 * [taylor]: Taking taylor expansion of im in im 8.581 * [backup-simplify]: Simplify 0 into 0 8.581 * [backup-simplify]: Simplify 1 into 1 8.581 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.584 * [backup-simplify]: Simplify (+ 0 0) into 0 8.584 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.584 * [taylor]: Taking taylor expansion of 0 in im 8.584 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify 0 into 0 8.585 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.586 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.586 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.586 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.586 * [taylor]: Taking taylor expansion of re in im 8.586 * [backup-simplify]: Simplify re into re 8.586 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.586 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.586 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.586 * [taylor]: Taking taylor expansion of im in im 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 1 into 1 8.586 * [backup-simplify]: Simplify (* 1 1) into 1 8.587 * [backup-simplify]: Simplify (/ 1 1) into 1 8.587 * [backup-simplify]: Simplify (+ 0 1) into 1 8.588 * [backup-simplify]: Simplify (sqrt 1) into 1 8.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.589 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.590 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.590 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.590 * [taylor]: Taking taylor expansion of re in re 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [backup-simplify]: Simplify (* 1 1) into 1 8.590 * [backup-simplify]: Simplify (/ 1 1) into 1 8.590 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.590 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.590 * [taylor]: Taking taylor expansion of im in re 8.590 * [backup-simplify]: Simplify im into im 8.590 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.590 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.591 * [backup-simplify]: Simplify (+ 1 0) into 1 8.591 * [backup-simplify]: Simplify (sqrt 1) into 1 8.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.592 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.593 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.593 * [taylor]: Taking taylor expansion of re in re 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (* 1 1) into 1 8.593 * [backup-simplify]: Simplify (/ 1 1) into 1 8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.593 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.593 * [taylor]: Taking taylor expansion of im in re 8.593 * [backup-simplify]: Simplify im into im 8.593 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.593 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.594 * [backup-simplify]: Simplify (+ 1 0) into 1 8.594 * [backup-simplify]: Simplify (sqrt 1) into 1 8.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 0) into 0 8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.595 * [taylor]: Taking taylor expansion of 1 in im 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [taylor]: Taking taylor expansion of 0 in im 8.595 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.598 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.598 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.598 * [taylor]: Taking taylor expansion of 1/2 in im 8.598 * [backup-simplify]: Simplify 1/2 into 1/2 8.598 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.598 * [taylor]: Taking taylor expansion of im in im 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (* 1 1) into 1 8.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.601 * [backup-simplify]: Simplify (+ 0 0) into 0 8.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.601 * [taylor]: Taking taylor expansion of 0 in im 8.601 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.603 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 8.603 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 8.603 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.603 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.603 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.603 * [taylor]: Taking taylor expansion of re in im 8.603 * [backup-simplify]: Simplify re into re 8.603 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.603 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.603 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.603 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.603 * [taylor]: Taking taylor expansion of im in im 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 1 into 1 8.604 * [backup-simplify]: Simplify (* 1 1) into 1 8.604 * [backup-simplify]: Simplify (/ 1 1) into 1 8.604 * [backup-simplify]: Simplify (+ 0 1) into 1 8.604 * [backup-simplify]: Simplify (sqrt 1) into 1 8.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (+ 0 0) into 0 8.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.606 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.606 * [taylor]: Taking taylor expansion of re in re 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [backup-simplify]: Simplify (* 1 1) into 1 8.607 * [backup-simplify]: Simplify (/ 1 1) into 1 8.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.607 * [taylor]: Taking taylor expansion of im in re 8.607 * [backup-simplify]: Simplify im into im 8.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.607 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.607 * [backup-simplify]: Simplify (+ 1 0) into 1 8.607 * [backup-simplify]: Simplify (sqrt 1) into 1 8.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.609 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.609 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.609 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.609 * [taylor]: Taking taylor expansion of re in re 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.609 * [backup-simplify]: Simplify (* 1 1) into 1 8.610 * [backup-simplify]: Simplify (/ 1 1) into 1 8.610 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.610 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.610 * [taylor]: Taking taylor expansion of im in re 8.610 * [backup-simplify]: Simplify im into im 8.610 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.610 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.611 * [backup-simplify]: Simplify (+ 1 0) into 1 8.611 * [backup-simplify]: Simplify (sqrt 1) into 1 8.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.612 * [backup-simplify]: Simplify (+ 0 0) into 0 8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.613 * [taylor]: Taking taylor expansion of 1 in im 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [taylor]: Taking taylor expansion of 0 in im 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.616 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.617 * [taylor]: Taking taylor expansion of 1/2 in im 8.617 * [backup-simplify]: Simplify 1/2 into 1/2 8.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.617 * [taylor]: Taking taylor expansion of im in im 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (* 1 1) into 1 8.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 8.623 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.624 * [taylor]: Taking taylor expansion of 0 in im 8.624 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.626 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 8.626 * [backup-simplify]: Simplify (sqrt (* (+ (* im im) 0) 2.0)) into (* (sqrt 2.0) im) 8.626 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 8.626 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.626 * [taylor]: Taking taylor expansion of 2.0 in im 8.626 * [backup-simplify]: Simplify 2.0 into 2.0 8.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.628 * [taylor]: Taking taylor expansion of im in im 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.628 * [taylor]: Taking taylor expansion of 2.0 in im 8.628 * [backup-simplify]: Simplify 2.0 into 2.0 8.629 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.629 * [taylor]: Taking taylor expansion of im in im 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.630 * [backup-simplify]: Simplify 0 into 0 8.632 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 8.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 8.635 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.638 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.638 * [backup-simplify]: Simplify 0 into 0 8.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.641 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.641 * [backup-simplify]: Simplify 0 into 0 8.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.644 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.645 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.648 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 8.648 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.652 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 8.652 * [backup-simplify]: Simplify 0 into 0 8.652 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 8.652 * [backup-simplify]: Simplify (sqrt (* (+ (* (/ 1 im) (/ 1 im)) 0) 2.0)) into (/ (sqrt 2.0) im) 8.652 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 8.652 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.653 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.653 * [taylor]: Taking taylor expansion of 2.0 in im 8.653 * [backup-simplify]: Simplify 2.0 into 2.0 8.653 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.654 * [taylor]: Taking taylor expansion of im in im 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.655 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.655 * [taylor]: Taking taylor expansion of 2.0 in im 8.655 * [backup-simplify]: Simplify 2.0 into 2.0 8.655 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.656 * [taylor]: Taking taylor expansion of im in im 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 1 into 1 8.657 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.658 * [backup-simplify]: Simplify 0 into 0 8.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify 0 into 0 8.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.661 * [backup-simplify]: Simplify 0 into 0 8.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.662 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.665 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 8.666 * [backup-simplify]: Simplify (sqrt (* (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) 2.0)) into (/ (sqrt 2.0) im) 8.666 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 8.666 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.666 * [taylor]: Taking taylor expansion of 2.0 in im 8.666 * [backup-simplify]: Simplify 2.0 into 2.0 8.666 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.667 * [taylor]: Taking taylor expansion of im in im 8.667 * [backup-simplify]: Simplify 0 into 0 8.667 * [backup-simplify]: Simplify 1 into 1 8.667 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.667 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.667 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.667 * [taylor]: Taking taylor expansion of 2.0 in im 8.667 * [backup-simplify]: Simplify 2.0 into 2.0 8.667 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.668 * [taylor]: Taking taylor expansion of im in im 8.668 * [backup-simplify]: Simplify 0 into 0 8.668 * [backup-simplify]: Simplify 1 into 1 8.669 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.673 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.674 * [backup-simplify]: Simplify 0 into 0 8.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.675 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 8.682 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.682 * [backup-simplify]: Simplify (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 8.682 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 8.682 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 8.682 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 8.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.682 * [taylor]: Taking taylor expansion of 2.0 in re 8.682 * [backup-simplify]: Simplify 2.0 into 2.0 8.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.683 * [taylor]: Taking taylor expansion of im in re 8.683 * [backup-simplify]: Simplify im into im 8.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 8.683 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 8.683 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 8.683 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 8.683 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 8.683 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.683 * [taylor]: Taking taylor expansion of im in re 8.683 * [backup-simplify]: Simplify im into im 8.683 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.683 * [taylor]: Taking taylor expansion of re in re 8.683 * [backup-simplify]: Simplify 0 into 0 8.683 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.684 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 8.684 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.684 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.684 * [taylor]: Taking taylor expansion of re in re 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (- 0) into 0 8.684 * [backup-simplify]: Simplify (+ im 0) into im 8.684 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.685 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 8.685 * [backup-simplify]: Simplify (- 1) into -1 8.685 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 8.685 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 8.685 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 8.685 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.685 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.685 * [taylor]: Taking taylor expansion of 2.0 in im 8.685 * [backup-simplify]: Simplify 2.0 into 2.0 8.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.686 * [taylor]: Taking taylor expansion of im in im 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 8.686 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 8.686 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 8.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.686 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.686 * [taylor]: Taking taylor expansion of im in im 8.686 * [backup-simplify]: Simplify 0 into 0 8.686 * [backup-simplify]: Simplify 1 into 1 8.686 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.686 * [taylor]: Taking taylor expansion of re in im 8.686 * [backup-simplify]: Simplify re into re 8.686 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.686 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.687 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.687 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.687 * [taylor]: Taking taylor expansion of re in im 8.687 * [backup-simplify]: Simplify re into re 8.687 * [backup-simplify]: Simplify (- re) into (- re) 8.687 * [backup-simplify]: Simplify (+ re (- re)) into 0 8.687 * [backup-simplify]: Simplify (- 0) into 0 8.687 * [backup-simplify]: Simplify (+ 0 0) into 0 8.688 * [backup-simplify]: Simplify (* 1 1) into 1 8.688 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 8.688 * [backup-simplify]: Simplify (+ 1 0) into 1 8.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 8.690 * [backup-simplify]: Simplify (- 0) into 0 8.690 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 8.690 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 8.690 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.691 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 8.692 * [backup-simplify]: Simplify (+ 0 0) into 0 8.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 8.693 * [backup-simplify]: Simplify (- 0) into 0 8.693 * [backup-simplify]: Simplify (+ 0 0) into 0 8.693 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 8.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 8.693 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 8.693 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 8.693 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.693 * [taylor]: Taking taylor expansion of 2.0 in im 8.693 * [backup-simplify]: Simplify 2.0 into 2.0 8.694 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.695 * [taylor]: Taking taylor expansion of im in im 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 8.695 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 8.695 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 8.695 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 8.695 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 8.695 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.695 * [taylor]: Taking taylor expansion of im in im 8.695 * [backup-simplify]: Simplify 0 into 0 8.695 * [backup-simplify]: Simplify 1 into 1 8.695 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.695 * [taylor]: Taking taylor expansion of re in im 8.695 * [backup-simplify]: Simplify re into re 8.695 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.695 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 8.695 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.695 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.696 * [backup-simplify]: Simplify (+ 0 0) into 0 8.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.696 * [taylor]: Taking taylor expansion of re in im 8.696 * [backup-simplify]: Simplify re into re 8.696 * [backup-simplify]: Simplify (- re) into (- re) 8.696 * [backup-simplify]: Simplify (+ re (- re)) into 0 8.696 * [backup-simplify]: Simplify (- 0) into 0 8.697 * [backup-simplify]: Simplify (+ 0 0) into 0 8.697 * [backup-simplify]: Simplify (* 1 1) into 1 8.697 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 8.698 * [backup-simplify]: Simplify (+ 1 0) into 1 8.699 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 8.699 * [backup-simplify]: Simplify (- 0) into 0 8.699 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 8.699 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 8.699 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 8.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.701 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 8.701 * [backup-simplify]: Simplify (+ 0 0) into 0 8.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 8.702 * [backup-simplify]: Simplify (- 0) into 0 8.702 * [backup-simplify]: Simplify (+ 0 0) into 0 8.702 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 8.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 8.703 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.703 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 8.703 * [taylor]: Taking taylor expansion of 0 in re 8.703 * [backup-simplify]: Simplify 0 into 0 8.703 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 8.706 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 8.706 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 8.706 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 8.706 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.706 * [taylor]: Taking taylor expansion of 2.0 in re 8.706 * [backup-simplify]: Simplify 2.0 into 2.0 8.706 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.707 * [taylor]: Taking taylor expansion of (sqrt 2) in re 8.707 * [taylor]: Taking taylor expansion of 2 in re 8.707 * [backup-simplify]: Simplify 2 into 2 8.707 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.707 * [taylor]: Taking taylor expansion of (sqrt re) in re 8.707 * [taylor]: Taking taylor expansion of re in re 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (sqrt 0) into 0 8.708 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.709 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 8.710 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.711 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 8.711 * [backup-simplify]: Simplify (+ 0 0) into 0 8.712 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 8.712 * [backup-simplify]: Simplify (- 0) into 0 8.712 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 8.713 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 8.713 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 8.714 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.715 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 8.716 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 8.716 * [taylor]: Taking taylor expansion of 0 in re 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 0 into 0 8.717 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 8.719 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 8.721 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 8.721 * [backup-simplify]: Simplify 0 into 0 8.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 8.723 * [backup-simplify]: Simplify (- 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 8.725 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 8.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.727 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 8.729 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 8.729 * [taylor]: Taking taylor expansion of 1/4 in re 8.729 * [backup-simplify]: Simplify 1/4 into 1/4 8.729 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 8.729 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 8.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.729 * [taylor]: Taking taylor expansion of 2.0 in re 8.729 * [backup-simplify]: Simplify 2.0 into 2.0 8.729 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.730 * [taylor]: Taking taylor expansion of (sqrt 2) in re 8.730 * [taylor]: Taking taylor expansion of 2 in re 8.730 * [backup-simplify]: Simplify 2 into 2 8.730 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 8.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 8.731 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 8.731 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 8.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 8.731 * [taylor]: Taking taylor expansion of (pow re 3) in re 8.731 * [taylor]: Taking taylor expansion of re in re 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 1 into 1 8.731 * [backup-simplify]: Simplify (* 1 1) into 1 8.732 * [backup-simplify]: Simplify (* 1 1) into 1 8.732 * [backup-simplify]: Simplify (/ 1 1) into 1 8.732 * [backup-simplify]: Simplify (sqrt 0) into 0 8.734 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.739 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.741 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 8.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.743 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.745 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 8.749 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 8.753 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 8.754 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 8.762 * [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)))) 8.765 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 8.765 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.767 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 8.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.769 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 8.771 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 8.773 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 8.779 * [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))))))))) 8.779 * [backup-simplify]: Simplify (/ (sqrt (* (+ (* (/ 1 im) (/ 1 im)) 0) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 8.779 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 8.779 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 8.779 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 8.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.779 * [taylor]: Taking taylor expansion of 2.0 in re 8.779 * [backup-simplify]: Simplify 2.0 into 2.0 8.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.780 * [taylor]: Taking taylor expansion of im in re 8.780 * [backup-simplify]: Simplify im into im 8.780 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 8.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 8.781 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 8.781 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 8.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.781 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.781 * [taylor]: Taking taylor expansion of re in re 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.781 * [backup-simplify]: Simplify (* 1 1) into 1 8.781 * [backup-simplify]: Simplify (/ 1 1) into 1 8.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.781 * [taylor]: Taking taylor expansion of im in re 8.781 * [backup-simplify]: Simplify im into im 8.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.782 * [backup-simplify]: Simplify (+ 1 0) into 1 8.782 * [backup-simplify]: Simplify (sqrt 1) into 1 8.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.783 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.783 * [taylor]: Taking taylor expansion of re in re 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (/ 1 1) into 1 8.784 * [backup-simplify]: Simplify (- 1) into -1 8.784 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.785 * [backup-simplify]: Simplify (- 0) into 0 8.785 * [backup-simplify]: Simplify (+ 0 0) into 0 8.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.787 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (- 0) into 0 8.792 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.792 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 8.793 * [backup-simplify]: Simplify (sqrt 0) into 0 8.793 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 8.793 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 8.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.793 * [taylor]: Taking taylor expansion of 2.0 in im 8.793 * [backup-simplify]: Simplify 2.0 into 2.0 8.793 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.794 * [taylor]: Taking taylor expansion of im in im 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 8.795 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 8.795 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 8.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.795 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.795 * [taylor]: Taking taylor expansion of re in im 8.795 * [backup-simplify]: Simplify re into re 8.795 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.795 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.795 * [taylor]: Taking taylor expansion of im in im 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.795 * [backup-simplify]: Simplify (* 1 1) into 1 8.795 * [backup-simplify]: Simplify (/ 1 1) into 1 8.796 * [backup-simplify]: Simplify (+ 0 1) into 1 8.796 * [backup-simplify]: Simplify (sqrt 1) into 1 8.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.797 * [backup-simplify]: Simplify (+ 0 0) into 0 8.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.798 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.798 * [taylor]: Taking taylor expansion of re in im 8.798 * [backup-simplify]: Simplify re into re 8.798 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.798 * [backup-simplify]: Simplify (+ 1 0) into 1 8.798 * [backup-simplify]: Simplify (/ 1 1) into 1 8.798 * [backup-simplify]: Simplify (sqrt 0) into 0 8.799 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.799 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 8.799 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.799 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.799 * [taylor]: Taking taylor expansion of 2.0 in im 8.799 * [backup-simplify]: Simplify 2.0 into 2.0 8.800 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.800 * [taylor]: Taking taylor expansion of im in im 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 8.801 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 8.801 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 8.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.801 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.801 * [taylor]: Taking taylor expansion of re in im 8.801 * [backup-simplify]: Simplify re into re 8.801 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.801 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.801 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.801 * [taylor]: Taking taylor expansion of im in im 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (* 1 1) into 1 8.801 * [backup-simplify]: Simplify (/ 1 1) into 1 8.802 * [backup-simplify]: Simplify (+ 0 1) into 1 8.802 * [backup-simplify]: Simplify (sqrt 1) into 1 8.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.804 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.804 * [taylor]: Taking taylor expansion of re in im 8.804 * [backup-simplify]: Simplify re into re 8.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.804 * [backup-simplify]: Simplify (+ 1 0) into 1 8.804 * [backup-simplify]: Simplify (/ 1 1) into 1 8.804 * [backup-simplify]: Simplify (sqrt 0) into 0 8.805 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.806 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.806 * [taylor]: Taking taylor expansion of 0 in re 8.806 * [backup-simplify]: Simplify 0 into 0 8.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 8.807 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.808 * [taylor]: Taking taylor expansion of +nan.0 in re 8.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.808 * [taylor]: Taking taylor expansion of 2.0 in re 8.808 * [backup-simplify]: Simplify 2.0 into 2.0 8.808 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.808 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 8.809 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 8.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 8.810 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 8.812 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [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))))) 8.814 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 8.814 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 8.814 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.814 * [taylor]: Taking taylor expansion of +nan.0 in re 8.814 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.814 * [taylor]: Taking taylor expansion of 2.0 in re 8.814 * [backup-simplify]: Simplify 2.0 into 2.0 8.815 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.815 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 8.815 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.815 * [taylor]: Taking taylor expansion of +nan.0 in re 8.816 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.816 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.816 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.816 * [taylor]: Taking taylor expansion of 2.0 in re 8.816 * [backup-simplify]: Simplify 2.0 into 2.0 8.816 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.817 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.817 * [taylor]: Taking taylor expansion of re in re 8.817 * [backup-simplify]: Simplify 0 into 0 8.817 * [backup-simplify]: Simplify 1 into 1 8.818 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.819 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.820 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.823 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.825 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.827 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.828 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.829 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.831 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.831 * [backup-simplify]: Simplify 0 into 0 8.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 8.834 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.835 * [backup-simplify]: Simplify (- 0) into 0 8.835 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 8.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.836 * [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)))) 8.837 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 8.841 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 8.841 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 8.841 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.841 * [taylor]: Taking taylor expansion of +nan.0 in re 8.841 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.841 * [taylor]: Taking taylor expansion of 2.0 in re 8.841 * [backup-simplify]: Simplify 2.0 into 2.0 8.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.842 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 8.842 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 8.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.842 * [taylor]: Taking taylor expansion of +nan.0 in re 8.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.842 * [taylor]: Taking taylor expansion of 2.0 in re 8.842 * [backup-simplify]: Simplify 2.0 into 2.0 8.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.843 * [taylor]: Taking taylor expansion of re in re 8.843 * [backup-simplify]: Simplify 0 into 0 8.843 * [backup-simplify]: Simplify 1 into 1 8.844 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.844 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 8.844 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 8.844 * [taylor]: Taking taylor expansion of +nan.0 in re 8.845 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.845 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 8.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.845 * [taylor]: Taking taylor expansion of 2.0 in re 8.845 * [backup-simplify]: Simplify 2.0 into 2.0 8.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.846 * [taylor]: Taking taylor expansion of re in re 8.846 * [backup-simplify]: Simplify 0 into 0 8.846 * [backup-simplify]: Simplify 1 into 1 8.846 * [backup-simplify]: Simplify (* 1 1) into 1 8.847 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.848 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.851 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.851 * [backup-simplify]: Simplify (- 0) into 0 8.853 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 8.855 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.858 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.860 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.862 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.867 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 8.867 * [backup-simplify]: Simplify (/ (sqrt (* (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) 2.0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 8.868 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 8.868 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 8.868 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 8.868 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.868 * [taylor]: Taking taylor expansion of 2.0 in re 8.868 * [backup-simplify]: Simplify 2.0 into 2.0 8.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.869 * [taylor]: Taking taylor expansion of im in re 8.869 * [backup-simplify]: Simplify im into im 8.869 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 8.869 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 8.869 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 8.870 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 8.870 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.870 * [taylor]: Taking taylor expansion of re in re 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.870 * [backup-simplify]: Simplify (/ 1 1) into 1 8.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 8.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 8.870 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 8.870 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.870 * [taylor]: Taking taylor expansion of re in re 8.870 * [backup-simplify]: Simplify 0 into 0 8.870 * [backup-simplify]: Simplify 1 into 1 8.871 * [backup-simplify]: Simplify (* 1 1) into 1 8.871 * [backup-simplify]: Simplify (/ 1 1) into 1 8.871 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 8.871 * [taylor]: Taking taylor expansion of (pow im 2) in re 8.871 * [taylor]: Taking taylor expansion of im in re 8.871 * [backup-simplify]: Simplify im into im 8.871 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.871 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 8.872 * [backup-simplify]: Simplify (+ 1 0) into 1 8.872 * [backup-simplify]: Simplify (sqrt 1) into 1 8.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.874 * [backup-simplify]: Simplify (+ 0 0) into 0 8.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.875 * [backup-simplify]: Simplify (+ 1 1) into 2 8.875 * [backup-simplify]: Simplify (/ 1 2) into 1/2 8.876 * [backup-simplify]: Simplify (sqrt 0) into 0 8.877 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 8.877 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 8.878 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.878 * [taylor]: Taking taylor expansion of 2.0 in im 8.878 * [backup-simplify]: Simplify 2.0 into 2.0 8.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.879 * [taylor]: Taking taylor expansion of im in im 8.879 * [backup-simplify]: Simplify 0 into 0 8.879 * [backup-simplify]: Simplify 1 into 1 8.880 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.880 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 8.880 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 8.880 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 8.880 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.880 * [taylor]: Taking taylor expansion of re in im 8.880 * [backup-simplify]: Simplify re into re 8.880 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.880 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.880 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.880 * [taylor]: Taking taylor expansion of re in im 8.880 * [backup-simplify]: Simplify re into re 8.880 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.881 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.881 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.881 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.881 * [taylor]: Taking taylor expansion of im in im 8.881 * [backup-simplify]: Simplify 0 into 0 8.881 * [backup-simplify]: Simplify 1 into 1 8.881 * [backup-simplify]: Simplify (* 1 1) into 1 8.881 * [backup-simplify]: Simplify (/ 1 1) into 1 8.882 * [backup-simplify]: Simplify (+ 0 1) into 1 8.882 * [backup-simplify]: Simplify (sqrt 1) into 1 8.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (+ 0 0) into 0 8.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.885 * [backup-simplify]: Simplify (+ 0 1) into 1 8.886 * [backup-simplify]: Simplify (/ 1 1) into 1 8.886 * [backup-simplify]: Simplify (sqrt 0) into 0 8.887 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.887 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 8.887 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 8.887 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.887 * [taylor]: Taking taylor expansion of 2.0 in im 8.888 * [backup-simplify]: Simplify 2.0 into 2.0 8.888 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.889 * [taylor]: Taking taylor expansion of im in im 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 1 into 1 8.890 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 8.890 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 8.890 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 8.890 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.890 * [taylor]: Taking taylor expansion of re in im 8.890 * [backup-simplify]: Simplify re into re 8.890 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 8.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 8.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 8.890 * [taylor]: Taking taylor expansion of (pow re 2) in im 8.890 * [taylor]: Taking taylor expansion of re in im 8.890 * [backup-simplify]: Simplify re into re 8.890 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.890 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 8.890 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.890 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.890 * [taylor]: Taking taylor expansion of im in im 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.891 * [backup-simplify]: Simplify (* 1 1) into 1 8.891 * [backup-simplify]: Simplify (/ 1 1) into 1 8.892 * [backup-simplify]: Simplify (+ 0 1) into 1 8.892 * [backup-simplify]: Simplify (sqrt 1) into 1 8.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.894 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.895 * [backup-simplify]: Simplify (+ 0 1) into 1 8.895 * [backup-simplify]: Simplify (/ 1 1) into 1 8.896 * [backup-simplify]: Simplify (sqrt 0) into 0 8.897 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.898 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.898 * [taylor]: Taking taylor expansion of 0 in re 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 0 into 0 8.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.901 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 8.901 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.901 * [taylor]: Taking taylor expansion of +nan.0 in re 8.901 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.901 * [taylor]: Taking taylor expansion of 2.0 in re 8.901 * [backup-simplify]: Simplify 2.0 into 2.0 8.902 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.903 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.905 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.907 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.907 * [backup-simplify]: Simplify 0 into 0 8.907 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 8.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 8.908 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 8.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.912 * [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))))) 8.912 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 8.912 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 8.912 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.912 * [taylor]: Taking taylor expansion of +nan.0 in re 8.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.912 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.912 * [taylor]: Taking taylor expansion of 2.0 in re 8.912 * [backup-simplify]: Simplify 2.0 into 2.0 8.913 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.914 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 8.914 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.914 * [taylor]: Taking taylor expansion of +nan.0 in re 8.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.914 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.914 * [taylor]: Taking taylor expansion of 2.0 in re 8.914 * [backup-simplify]: Simplify 2.0 into 2.0 8.914 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.915 * [taylor]: Taking taylor expansion of re in re 8.915 * [backup-simplify]: Simplify 0 into 0 8.915 * [backup-simplify]: Simplify 1 into 1 8.916 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.917 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.919 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.919 * [backup-simplify]: Simplify (- 0) into 0 8.921 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 8.923 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.924 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.925 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.925 * [backup-simplify]: Simplify (- 0) into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.933 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 8.935 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.935 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 8.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 8.936 * [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)))) 8.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.941 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 8.941 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 8.941 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 8.941 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 8.942 * [taylor]: Taking taylor expansion of +nan.0 in re 8.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.942 * [taylor]: Taking taylor expansion of 2.0 in re 8.942 * [backup-simplify]: Simplify 2.0 into 2.0 8.942 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.943 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 8.943 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 8.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 8.943 * [taylor]: Taking taylor expansion of +nan.0 in re 8.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.943 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 8.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.943 * [taylor]: Taking taylor expansion of 2.0 in re 8.943 * [backup-simplify]: Simplify 2.0 into 2.0 8.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.944 * [taylor]: Taking taylor expansion of re in re 8.944 * [backup-simplify]: Simplify 0 into 0 8.944 * [backup-simplify]: Simplify 1 into 1 8.945 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.945 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 8.945 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 8.945 * [taylor]: Taking taylor expansion of +nan.0 in re 8.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.945 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 8.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.945 * [taylor]: Taking taylor expansion of 2.0 in re 8.946 * [backup-simplify]: Simplify 2.0 into 2.0 8.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.947 * [taylor]: Taking taylor expansion of (pow re 2) in re 8.947 * [taylor]: Taking taylor expansion of re in re 8.947 * [backup-simplify]: Simplify 0 into 0 8.947 * [backup-simplify]: Simplify 1 into 1 8.947 * [backup-simplify]: Simplify (* 1 1) into 1 8.948 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.949 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.956 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.957 * [backup-simplify]: Simplify (- 0) into 0 8.957 * [backup-simplify]: Simplify (+ 0 0) into 0 8.957 * [backup-simplify]: Simplify (- 0) into 0 8.958 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 8.959 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.960 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.963 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 8.963 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 8.963 * [backup-simplify]: Simplify (* (+ (* im im) 0) 2.0) into (* 2.0 (pow im 2)) 8.964 * [approximate]: Taking taylor expansion of (* 2.0 (pow im 2)) in (im) around 0 8.964 * [taylor]: Taking taylor expansion of (* 2.0 (pow im 2)) in im 8.964 * [taylor]: Taking taylor expansion of 2.0 in im 8.964 * [backup-simplify]: Simplify 2.0 into 2.0 8.964 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.964 * [taylor]: Taking taylor expansion of im in im 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [taylor]: Taking taylor expansion of (* 2.0 (pow im 2)) in im 8.964 * [taylor]: Taking taylor expansion of 2.0 in im 8.964 * [backup-simplify]: Simplify 2.0 into 2.0 8.964 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.964 * [taylor]: Taking taylor expansion of im in im 8.964 * [backup-simplify]: Simplify 0 into 0 8.964 * [backup-simplify]: Simplify 1 into 1 8.964 * [backup-simplify]: Simplify (* 1 1) into 1 8.964 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 8.964 * [backup-simplify]: Simplify 2.0 into 2.0 8.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.965 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 8.965 * [backup-simplify]: Simplify 0 into 0 8.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.966 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 8.966 * [backup-simplify]: Simplify 0 into 0 8.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.968 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.968 * [backup-simplify]: Simplify 0 into 0 8.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.969 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.969 * [backup-simplify]: Simplify 0 into 0 8.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.971 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.971 * [backup-simplify]: Simplify 0 into 0 8.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.973 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify (* 2.0 (pow im 2)) into (* 2.0 (pow im 2)) 8.973 * [backup-simplify]: Simplify (* (+ (* (/ 1 im) (/ 1 im)) 0) 2.0) into (/ 2.0 (pow im 2)) 8.973 * [approximate]: Taking taylor expansion of (/ 2.0 (pow im 2)) in (im) around 0 8.973 * [taylor]: Taking taylor expansion of (/ 2.0 (pow im 2)) in im 8.973 * [taylor]: Taking taylor expansion of 2.0 in im 8.973 * [backup-simplify]: Simplify 2.0 into 2.0 8.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.973 * [taylor]: Taking taylor expansion of im in im 8.973 * [backup-simplify]: Simplify 0 into 0 8.973 * [backup-simplify]: Simplify 1 into 1 8.973 * [backup-simplify]: Simplify (* 1 1) into 1 8.973 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.974 * [taylor]: Taking taylor expansion of (/ 2.0 (pow im 2)) in im 8.974 * [taylor]: Taking taylor expansion of 2.0 in im 8.974 * [backup-simplify]: Simplify 2.0 into 2.0 8.974 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.974 * [taylor]: Taking taylor expansion of im in im 8.974 * [backup-simplify]: Simplify 0 into 0 8.974 * [backup-simplify]: Simplify 1 into 1 8.974 * [backup-simplify]: Simplify (* 1 1) into 1 8.974 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.974 * [backup-simplify]: Simplify 2.0 into 2.0 8.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 8.975 * [backup-simplify]: Simplify 0 into 0 8.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.976 * [backup-simplify]: Simplify 0 into 0 8.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.978 * [backup-simplify]: Simplify 0 into 0 8.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.979 * [backup-simplify]: Simplify 0 into 0 8.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.980 * [backup-simplify]: Simplify 0 into 0 8.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify (* 2.0 (pow (/ 1 (/ 1 im)) 2)) into (* 2.0 (pow im 2)) 8.982 * [backup-simplify]: Simplify (* (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) 2.0) into (/ 2.0 (pow im 2)) 8.982 * [approximate]: Taking taylor expansion of (/ 2.0 (pow im 2)) in (im) around 0 8.982 * [taylor]: Taking taylor expansion of (/ 2.0 (pow im 2)) in im 8.982 * [taylor]: Taking taylor expansion of 2.0 in im 8.982 * [backup-simplify]: Simplify 2.0 into 2.0 8.982 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.982 * [taylor]: Taking taylor expansion of im in im 8.982 * [backup-simplify]: Simplify 0 into 0 8.982 * [backup-simplify]: Simplify 1 into 1 8.982 * [backup-simplify]: Simplify (* 1 1) into 1 8.983 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.983 * [taylor]: Taking taylor expansion of (/ 2.0 (pow im 2)) in im 8.983 * [taylor]: Taking taylor expansion of 2.0 in im 8.983 * [backup-simplify]: Simplify 2.0 into 2.0 8.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.983 * [taylor]: Taking taylor expansion of im in im 8.983 * [backup-simplify]: Simplify 0 into 0 8.983 * [backup-simplify]: Simplify 1 into 1 8.983 * [backup-simplify]: Simplify (* 1 1) into 1 8.983 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 8.983 * [backup-simplify]: Simplify 2.0 into 2.0 8.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)))) into 0 8.984 * [backup-simplify]: Simplify 0 into 0 8.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.986 * [backup-simplify]: Simplify 0 into 0 8.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.987 * [backup-simplify]: Simplify 0 into 0 8.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.988 * [backup-simplify]: Simplify 0 into 0 8.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.990 * [backup-simplify]: Simplify 0 into 0 8.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 8.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.991 * [backup-simplify]: Simplify 0 into 0 8.991 * [backup-simplify]: Simplify (* 2.0 (pow (/ 1 (/ 1 (- im))) 2)) into (* 2.0 (pow im 2)) 8.991 * * * [progress]: simplifying candidates 8.991 * * * * [progress]: [ 1 / 130 ] simplifiying candidate # 8.991 * * * * [progress]: [ 2 / 130 ] simplifiying candidate # 8.991 * * * * [progress]: [ 3 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 4 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 5 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 6 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 7 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 8 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 9 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 10 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 11 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 12 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 13 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 14 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 15 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 16 / 130 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 8.992 * * * * [progress]: [ 17 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 18 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 19 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 20 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 21 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 22 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 23 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 24 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 25 / 130 ] simplifiying candidate # 8.992 * * * * [progress]: [ 26 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 27 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 28 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 29 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 30 / 130 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (* im im) 0) 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 8.993 * * * * [progress]: [ 31 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 32 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 33 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 34 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 35 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 36 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 37 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 38 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 39 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 40 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 41 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 42 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 43 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 44 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 45 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 46 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 47 / 130 ] simplifiying candidate # 8.993 * * * * [progress]: [ 48 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 49 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 50 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 51 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 52 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 53 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 54 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 55 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 56 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 57 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 58 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 59 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 60 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 61 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 62 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 63 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 64 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 65 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 66 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 67 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 68 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 69 / 130 ] simplifiying candidate # 8.994 * * * * [progress]: [ 70 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 71 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 72 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 73 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 74 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 75 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 76 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 77 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 78 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 79 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 80 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 81 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 82 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 83 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 84 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 85 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 86 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 87 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 88 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 89 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 90 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 91 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 92 / 130 ] simplifiying candidate # 8.995 * * * * [progress]: [ 93 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 94 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 95 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 96 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 97 / 130 ] simplifiying candidate #real (real->posit16 (/ (sqrt (* (+ (* im im) 0) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 8.996 * * * * [progress]: [ 98 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 99 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 100 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 101 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 102 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 103 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 104 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 105 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 106 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 107 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 108 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 109 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 110 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 111 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 112 / 130 ] simplifiying candidate # 8.996 * * * * [progress]: [ 113 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 114 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 115 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 116 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 117 / 130 ] simplifiying candidate #real (real->posit16 (* (+ (* im im) 0) 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 8.997 * * * * [progress]: [ 118 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 119 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 120 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 121 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 122 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 123 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 124 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 125 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 126 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 127 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 128 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 129 / 130 ] simplifiying candidate # 8.997 * * * * [progress]: [ 130 / 130 ] simplifiying candidate # 8.999 * [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 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2)) 9.001 * * [simplify]: iteration 1: (226 enodes) 9.072 * * [simplify]: iteration 2: (475 enodes) 9.283 * * [simplify]: iteration 3: (1185 enodes) 10.464 * * [simplify]: Extracting #0: cost 109 inf + 0 10.466 * * [simplify]: Extracting #1: cost 445 inf + 86 10.477 * * [simplify]: Extracting #2: cost 816 inf + 3294 10.496 * * [simplify]: Extracting #3: cost 811 inf + 44518 10.550 * * [simplify]: Extracting #4: cost 335 inf + 136020 10.595 * * [simplify]: Extracting #5: cost 93 inf + 211398 10.689 * * [simplify]: Extracting #6: cost 1 inf + 252092 10.746 * * [simplify]: Extracting #7: cost 0 inf + 252655 10.814 * [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)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) 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10.840 * * * [progress]: adding candidates to table 12.936 * [progress]: [Phase 3 of 3] Extracting. 12.936 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 12.939 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 12.940 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 13.022 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 13.056 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 13.181 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 13.285 * * * [regime]: Found split indices: #