26.602 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.068 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.077 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.077 * * [simplify]: iteration 0: 12 enodes 0.081 * * [simplify]: iteration 1: 24 enodes 0.086 * * [simplify]: iteration 2: 30 enodes 0.089 * * [simplify]: iteration 3: 32 enodes 0.092 * * [simplify]: iteration complete: 32 enodes 0.092 * * [simplify]: Extracting #0: cost 1 inf + 0 0.092 * * [simplify]: Extracting #1: cost 3 inf + 0 0.092 * * [simplify]: Extracting #2: cost 3 inf + 1 0.092 * * [simplify]: Extracting #3: cost 9 inf + 1 0.092 * * [simplify]: Extracting #4: cost 8 inf + 45 0.092 * * [simplify]: Extracting #5: cost 3 inf + 833 0.092 * * [simplify]: Extracting #6: cost 1 inf + 915 0.092 * * [simplify]: Extracting #7: cost 0 inf + 1012 0.093 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.098 * * [progress]: iteration 1 / 4 0.098 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.109 * * * [progress]: localizing error 0.137 * * * [progress]: generating rewritten candidates 0.137 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.146 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.159 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.161 * * * [progress]: generating series expansions 0.161 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.161 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.161 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.162 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.162 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.162 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.162 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.162 * [taylor]: Taking taylor expansion of (* re re) in im 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [backup-simplify]: Simplify re into re 0.162 * [taylor]: Taking taylor expansion of re in im 0.162 * [backup-simplify]: Simplify re into re 0.162 * [taylor]: Taking taylor expansion of (* im im) in im 0.162 * [taylor]: Taking taylor expansion of im in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of im in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.180 * [backup-simplify]: Simplify (* 0 0) into 0 0.180 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.181 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.181 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.182 * [taylor]: Taking taylor expansion of re in im 0.182 * [backup-simplify]: Simplify re into re 0.182 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.182 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.182 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.182 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.182 * [taylor]: Taking taylor expansion of (* re re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of (* im im) in re 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [backup-simplify]: Simplify im into im 0.183 * [taylor]: Taking taylor expansion of im in re 0.183 * [backup-simplify]: Simplify im into im 0.183 * [backup-simplify]: Simplify (* 0 0) into 0 0.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.183 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.183 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.184 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.184 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.185 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.185 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.185 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.185 * [taylor]: Taking taylor expansion of (* re re) in re 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of re in re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (* im im) in re 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [backup-simplify]: Simplify im into im 0.185 * [taylor]: Taking taylor expansion of im in re 0.185 * [backup-simplify]: Simplify im into im 0.186 * [backup-simplify]: Simplify (* 0 0) into 0 0.186 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.186 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.186 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.187 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 (+ im 0) into im 0.188 * [taylor]: Taking taylor expansion of im in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [taylor]: Taking taylor expansion of 1 in im 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.191 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.192 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.192 * [taylor]: Taking taylor expansion of 1/2 in im 0.193 * [backup-simplify]: Simplify 1/2 into 1/2 0.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.200 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.200 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.200 * [taylor]: Taking taylor expansion of re in im 0.200 * [backup-simplify]: Simplify re into re 0.200 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.201 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.201 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.201 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.201 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.201 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.205 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.205 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.205 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.205 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [backup-simplify]: Simplify im into im 0.205 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.205 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [backup-simplify]: Simplify im into im 0.206 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.206 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (sqrt 1) into 1 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.209 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.209 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.209 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.209 * [taylor]: Taking taylor expansion of re in re 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.209 * [backup-simplify]: Simplify im into im 0.209 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.209 * [taylor]: Taking taylor expansion of im in re 0.209 * [backup-simplify]: Simplify im into im 0.210 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify (sqrt 1) into 1 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.212 * [backup-simplify]: Simplify (+ 1 1) into 2 0.212 * [taylor]: Taking taylor expansion of 2 in im 0.212 * [backup-simplify]: Simplify 2 into 2 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 2 into 2 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.215 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.216 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.216 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.216 * [taylor]: Taking taylor expansion of 1/2 in im 0.216 * [backup-simplify]: Simplify 1/2 into 1/2 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.221 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.224 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.224 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.224 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.224 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.224 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.224 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.224 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.224 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.224 * [taylor]: Taking taylor expansion of -1 in im 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.224 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.224 * [taylor]: Taking taylor expansion of -1 in im 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of re in im 0.224 * [backup-simplify]: Simplify re into re 0.224 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.224 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.224 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.224 * [taylor]: Taking taylor expansion of -1 in im 0.224 * [backup-simplify]: Simplify -1 into -1 0.224 * [taylor]: Taking taylor expansion of im in im 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ -1 1) into -1 0.224 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.224 * [taylor]: Taking taylor expansion of -1 in im 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (/ -1 1) into -1 0.225 * [backup-simplify]: Simplify (* -1 -1) into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (sqrt 1) into 1 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.228 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 re) into (/ 1 re) 0.228 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.228 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.228 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.228 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.228 * [taylor]: Taking taylor expansion of -1 in re 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ -1 1) into -1 0.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.228 * [taylor]: Taking taylor expansion of -1 in re 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ -1 1) into -1 0.229 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.229 * [taylor]: Taking taylor expansion of -1 in re 0.229 * [backup-simplify]: Simplify -1 into -1 0.229 * [taylor]: Taking taylor expansion of im in re 0.229 * [backup-simplify]: Simplify im into im 0.229 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.229 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.229 * [taylor]: Taking taylor expansion of -1 in re 0.229 * [backup-simplify]: Simplify -1 into -1 0.230 * [taylor]: Taking taylor expansion of im in re 0.230 * [backup-simplify]: Simplify im into im 0.230 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.230 * [backup-simplify]: Simplify (* -1 -1) into 1 0.231 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [backup-simplify]: Simplify (sqrt 1) into 1 0.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.235 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.235 * [taylor]: Taking taylor expansion of re in re 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.235 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.235 * [taylor]: Taking taylor expansion of -1 in re 0.235 * [backup-simplify]: Simplify -1 into -1 0.235 * [taylor]: Taking taylor expansion of re in re 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ -1 1) into -1 0.236 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.236 * [taylor]: Taking taylor expansion of -1 in re 0.236 * [backup-simplify]: Simplify -1 into -1 0.236 * [taylor]: Taking taylor expansion of re in re 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ -1 1) into -1 0.237 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.237 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.237 * [taylor]: Taking taylor expansion of -1 in re 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.237 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.237 * [taylor]: Taking taylor expansion of -1 in re 0.237 * [backup-simplify]: Simplify -1 into -1 0.237 * [taylor]: Taking taylor expansion of im in re 0.237 * [backup-simplify]: Simplify im into im 0.237 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.237 * [backup-simplify]: Simplify (* -1 -1) into 1 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.242 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.242 * [taylor]: Taking taylor expansion of re in re 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (- 1) into -1 0.243 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.248 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.251 * [taylor]: Taking taylor expansion of 1/2 in im 0.251 * [backup-simplify]: Simplify 1/2 into 1/2 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.258 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.258 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.265 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.265 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.265 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 0.265 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.265 * [taylor]: Taking taylor expansion of 2.0 in im 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.266 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.266 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.266 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.266 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.266 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.266 * [taylor]: Taking taylor expansion of (* re re) in im 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [backup-simplify]: Simplify re into re 0.266 * [taylor]: Taking taylor expansion of re in im 0.266 * [backup-simplify]: Simplify re into re 0.266 * [taylor]: Taking taylor expansion of (* im im) in im 0.266 * [taylor]: Taking taylor expansion of im in im 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of im in im 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.267 * [backup-simplify]: Simplify (* 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.267 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.267 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.269 * [taylor]: Taking taylor expansion of re in im 0.269 * [backup-simplify]: Simplify re into re 0.269 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.269 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.270 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.270 * [taylor]: Taking taylor expansion of 2.0 in re 0.270 * [backup-simplify]: Simplify 2.0 into 2.0 0.270 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.271 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.271 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.271 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.271 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.271 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.271 * [taylor]: Taking taylor expansion of (* re re) in re 0.271 * [taylor]: Taking taylor expansion of re in re 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of re in re 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [taylor]: Taking taylor expansion of (* im im) in re 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [backup-simplify]: Simplify im into im 0.271 * [taylor]: Taking taylor expansion of im in re 0.271 * [backup-simplify]: Simplify im into im 0.272 * [backup-simplify]: Simplify (* 0 0) into 0 0.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.272 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.273 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.274 * [taylor]: Taking taylor expansion of re in re 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (+ im 0) into im 0.274 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.274 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.274 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.274 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.274 * [taylor]: Taking taylor expansion of 2.0 in re 0.274 * [backup-simplify]: Simplify 2.0 into 2.0 0.275 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.276 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.276 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.276 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.276 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.276 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.276 * [taylor]: Taking taylor expansion of (* re re) in re 0.276 * [taylor]: Taking taylor expansion of re in re 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of re in re 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [taylor]: Taking taylor expansion of (* im im) in re 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [backup-simplify]: Simplify im into im 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [backup-simplify]: Simplify im into im 0.276 * [backup-simplify]: Simplify (* 0 0) into 0 0.277 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.277 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.277 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.278 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.278 * [taylor]: Taking taylor expansion of re in re 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (+ im 0) into im 0.278 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.279 * [backup-simplify]: Simplify (+ 0 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.280 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.280 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.280 * [taylor]: Taking taylor expansion of 2.0 in im 0.280 * [backup-simplify]: Simplify 2.0 into 2.0 0.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.281 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.281 * [taylor]: Taking taylor expansion of im in im 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (sqrt 0) into 0 0.283 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.284 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.285 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.285 * [taylor]: Taking taylor expansion of 1/2 in im 0.285 * [backup-simplify]: Simplify 1/2 into 1/2 0.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) 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) 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.286 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.287 * [backup-simplify]: Simplify (sqrt 0) into 0 0.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.291 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.291 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.297 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.299 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.301 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.302 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.302 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.304 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.305 * [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)))) 0.306 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.307 * [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))))) 0.307 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.307 * [taylor]: Taking taylor expansion of 1/8 in im 0.307 * [backup-simplify]: Simplify 1/8 into 1/8 0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.307 * [taylor]: Taking taylor expansion of 2.0 in im 0.307 * [backup-simplify]: Simplify 2.0 into 2.0 0.307 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.308 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [backup-simplify]: Simplify (sqrt 0) into 0 0.311 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.322 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.328 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.335 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.341 * [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))))))) 0.341 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 0.341 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.341 * [taylor]: Taking taylor expansion of 2.0 in im 0.341 * [backup-simplify]: Simplify 2.0 into 2.0 0.342 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.342 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.342 * [taylor]: Taking taylor expansion of re in im 0.342 * [backup-simplify]: Simplify re into re 0.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.343 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.343 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.343 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.343 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [backup-simplify]: Simplify re into re 0.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.343 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.343 * [taylor]: Taking taylor expansion of re in im 0.343 * [backup-simplify]: Simplify re into re 0.343 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.343 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.343 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.343 * [taylor]: Taking taylor expansion of im in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.344 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [backup-simplify]: Simplify (sqrt 1) into 1 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 1) into 1 0.350 * [backup-simplify]: Simplify (sqrt 0) into 0 0.351 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.351 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.351 * [taylor]: Taking taylor expansion of 2.0 in re 0.351 * [backup-simplify]: Simplify 2.0 into 2.0 0.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.353 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.353 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.354 * [taylor]: Taking taylor expansion of re in re 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.354 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.355 * [taylor]: Taking taylor expansion of im in re 0.355 * [backup-simplify]: Simplify im into im 0.355 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.355 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.355 * [taylor]: Taking taylor expansion of im in re 0.355 * [backup-simplify]: Simplify im into im 0.355 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (sqrt 1) into 1 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (+ 0 0) into 0 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.360 * [backup-simplify]: Simplify (+ 1 1) into 2 0.360 * [backup-simplify]: Simplify (sqrt 0) into 0 0.361 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.361 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.361 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.362 * [taylor]: Taking taylor expansion of 2.0 in re 0.362 * [backup-simplify]: Simplify 2.0 into 2.0 0.362 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.363 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.363 * [taylor]: Taking taylor expansion of re in re 0.363 * [backup-simplify]: Simplify 0 into 0 0.363 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (/ 1 1) into 1 0.363 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.364 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.364 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.364 * [backup-simplify]: Simplify (/ 1 1) into 1 0.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.364 * [taylor]: Taking taylor expansion of re in re 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 1 into 1 0.365 * [backup-simplify]: Simplify (/ 1 1) into 1 0.365 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.365 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.365 * [taylor]: Taking taylor expansion of im in re 0.365 * [backup-simplify]: Simplify im into im 0.365 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.365 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.365 * [taylor]: Taking taylor expansion of im in re 0.365 * [backup-simplify]: Simplify im into im 0.365 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.365 * [backup-simplify]: Simplify (* 1 1) into 1 0.366 * [backup-simplify]: Simplify (+ 1 0) into 1 0.366 * [backup-simplify]: Simplify (sqrt 1) into 1 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.370 * [backup-simplify]: Simplify (+ 1 1) into 2 0.370 * [backup-simplify]: Simplify (sqrt 0) into 0 0.372 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.372 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in im 0.372 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.375 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.375 * [taylor]: Taking taylor expansion of +nan.0 in im 0.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.375 * [taylor]: Taking taylor expansion of 2.0 in im 0.375 * [backup-simplify]: Simplify 2.0 into 2.0 0.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.380 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.382 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.385 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.385 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.385 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.385 * [taylor]: Taking taylor expansion of +nan.0 in im 0.385 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.385 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.385 * [taylor]: Taking taylor expansion of 2.0 in im 0.385 * [backup-simplify]: Simplify 2.0 into 2.0 0.386 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.387 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.389 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.391 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.395 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.396 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.397 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.399 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.402 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.402 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.402 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.402 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.402 * [taylor]: Taking taylor expansion of +nan.0 in im 0.402 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.402 * [taylor]: Taking taylor expansion of 2.0 in im 0.402 * [backup-simplify]: Simplify 2.0 into 2.0 0.402 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.403 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.403 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.403 * [taylor]: Taking taylor expansion of +nan.0 in im 0.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.403 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.403 * [taylor]: Taking taylor expansion of 2.0 in im 0.403 * [backup-simplify]: Simplify 2.0 into 2.0 0.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (* 1 1) into 1 0.406 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.407 * [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 0) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.412 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.415 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.420 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.420 * [backup-simplify]: Simplify (+ 0 0) into 0 0.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.421 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [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))) 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.424 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.424 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.424 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.424 * [taylor]: Taking taylor expansion of +nan.0 in im 0.424 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.424 * [taylor]: Taking taylor expansion of 2.0 in im 0.424 * [backup-simplify]: Simplify 2.0 into 2.0 0.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.425 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.425 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.425 * [taylor]: Taking taylor expansion of +nan.0 in im 0.425 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.425 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.425 * [taylor]: Taking taylor expansion of 2.0 in im 0.425 * [backup-simplify]: Simplify 2.0 into 2.0 0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.426 * [backup-simplify]: Simplify (* 1 1) into 1 0.426 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify (+ 0 0) into 0 0.429 * [backup-simplify]: Simplify (- 0) into 0 0.429 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.430 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.432 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.432 * [backup-simplify]: Simplify (- 0) into 0 0.433 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.434 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.435 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.438 * [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)))))))) 0.438 * [backup-simplify]: Simplify (sqrt (* (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.438 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.438 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 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 0.439 * [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 (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.439 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.439 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.439 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.439 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.439 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.439 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.439 * [taylor]: Taking taylor expansion of -1 in im 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.439 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.439 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.439 * [taylor]: Taking taylor expansion of -1 in im 0.439 * [backup-simplify]: Simplify -1 into -1 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.440 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.440 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.440 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.440 * [taylor]: Taking taylor expansion of -1 in im 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ -1 1) into -1 0.440 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.440 * [taylor]: Taking taylor expansion of -1 in im 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of im in im 0.440 * [backup-simplify]: Simplify 0 into 0 0.440 * [backup-simplify]: Simplify 1 into 1 0.440 * [backup-simplify]: Simplify (/ -1 1) into -1 0.441 * [backup-simplify]: Simplify (* -1 -1) into 1 0.441 * [backup-simplify]: Simplify (+ 0 1) into 1 0.441 * [backup-simplify]: Simplify (sqrt 1) into 1 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.443 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.443 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.443 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.443 * [taylor]: Taking taylor expansion of re in im 0.443 * [backup-simplify]: Simplify re into re 0.443 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.444 * [backup-simplify]: Simplify (+ 1 0) into 1 0.444 * [backup-simplify]: Simplify (sqrt 0) into 0 0.445 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.445 * [taylor]: Taking taylor expansion of 2.0 in re 0.445 * [backup-simplify]: Simplify 2.0 into 2.0 0.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.446 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.446 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.446 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.446 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.446 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.446 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.446 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.446 * [taylor]: Taking taylor expansion of -1 in re 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [taylor]: Taking taylor expansion of re in re 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.446 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.446 * [taylor]: Taking taylor expansion of -1 in re 0.446 * [backup-simplify]: Simplify -1 into -1 0.446 * [taylor]: Taking taylor expansion of re in re 0.446 * [backup-simplify]: Simplify 0 into 0 0.446 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ -1 1) into -1 0.446 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.446 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.446 * [taylor]: Taking taylor expansion of -1 in re 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of im in re 0.447 * [backup-simplify]: Simplify im into im 0.447 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.447 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.447 * [taylor]: Taking taylor expansion of -1 in re 0.447 * [backup-simplify]: Simplify -1 into -1 0.447 * [taylor]: Taking taylor expansion of im in re 0.447 * [backup-simplify]: Simplify im into im 0.447 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.447 * [backup-simplify]: Simplify (* -1 -1) into 1 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.449 * [backup-simplify]: Simplify (sqrt 1) into 1 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.451 * [backup-simplify]: Simplify (+ 0 0) into 0 0.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.451 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.451 * [taylor]: Taking taylor expansion of re in re 0.451 * [backup-simplify]: Simplify 0 into 0 0.451 * [backup-simplify]: Simplify 1 into 1 0.451 * [backup-simplify]: Simplify (/ 1 1) into 1 0.452 * [backup-simplify]: Simplify (- 1) into -1 0.452 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (- 0) into 0 0.453 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.456 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.457 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.458 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- 0) into 0 0.460 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.460 * [backup-simplify]: Simplify (sqrt 0) into 0 0.461 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.461 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.461 * [taylor]: Taking taylor expansion of 2.0 in re 0.461 * [backup-simplify]: Simplify 2.0 into 2.0 0.461 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.462 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.462 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.462 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.462 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.463 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.463 * [taylor]: Taking taylor expansion of -1 in re 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (/ -1 1) into -1 0.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.463 * [taylor]: Taking taylor expansion of -1 in re 0.463 * [backup-simplify]: Simplify -1 into -1 0.463 * [taylor]: Taking taylor expansion of re in re 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (/ -1 1) into -1 0.464 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.464 * [taylor]: Taking taylor expansion of -1 in re 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [backup-simplify]: Simplify im into im 0.464 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.464 * [taylor]: Taking taylor expansion of -1 in re 0.464 * [backup-simplify]: Simplify -1 into -1 0.464 * [taylor]: Taking taylor expansion of im in re 0.464 * [backup-simplify]: Simplify im into im 0.464 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.465 * [backup-simplify]: Simplify (* -1 -1) into 1 0.465 * [backup-simplify]: Simplify (+ 1 0) into 1 0.465 * [backup-simplify]: Simplify (sqrt 1) into 1 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.468 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.469 * [taylor]: Taking taylor expansion of re in re 0.469 * [backup-simplify]: Simplify 0 into 0 0.469 * [backup-simplify]: Simplify 1 into 1 0.469 * [backup-simplify]: Simplify (/ 1 1) into 1 0.470 * [backup-simplify]: Simplify (- 1) into -1 0.470 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.472 * [backup-simplify]: Simplify (- 0) into 0 0.472 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.475 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.475 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.477 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (- 0) into 0 0.478 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.478 * [backup-simplify]: Simplify (sqrt 0) into 0 0.479 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.480 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.480 * [taylor]: Taking taylor expansion of 0 in im 0.480 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.481 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.481 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.481 * [taylor]: Taking taylor expansion of +nan.0 in im 0.481 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.481 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.481 * [taylor]: Taking taylor expansion of 2.0 in im 0.481 * [backup-simplify]: Simplify 2.0 into 2.0 0.481 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.482 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.482 * [taylor]: Taking taylor expansion of im in im 0.482 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify 1 into 1 0.482 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.486 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- 0) into 0 0.488 * [backup-simplify]: Simplify (+ 0 0) into 0 0.488 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.490 * [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)))) 0.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.490 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.490 * [taylor]: Taking taylor expansion of +nan.0 in im 0.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.490 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.490 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.490 * [taylor]: Taking taylor expansion of 2.0 in im 0.490 * [backup-simplify]: Simplify 2.0 into 2.0 0.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.491 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.491 * [taylor]: Taking taylor expansion of im in im 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 0.492 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.499 * [backup-simplify]: Simplify (- 0) into 0 0.499 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.502 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 0 into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.504 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (- 0) into 0 0.506 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.507 * [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))))) 0.508 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.509 * [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)))))) 0.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.509 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.509 * [taylor]: Taking taylor expansion of +nan.0 in im 0.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.509 * [taylor]: Taking taylor expansion of 2.0 in im 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.510 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.510 * [taylor]: Taking taylor expansion of im in im 0.510 * [backup-simplify]: Simplify 0 into 0 0.510 * [backup-simplify]: Simplify 1 into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.511 * [backup-simplify]: Simplify (* 1 1) into 1 0.512 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.512 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.512 * [taylor]: Taking taylor expansion of +nan.0 in im 0.512 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.512 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.512 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.512 * [taylor]: Taking taylor expansion of 2.0 in im 0.512 * [backup-simplify]: Simplify 2.0 into 2.0 0.513 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.513 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.513 * [taylor]: Taking taylor expansion of im in im 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.514 * [backup-simplify]: Simplify (* 1 1) into 1 0.515 * [backup-simplify]: Simplify (* 1 1) into 1 0.516 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.517 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.528 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.532 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ 0 0) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 0 into 0 0.559 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.559 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.559 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.559 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.559 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.559 * [taylor]: Taking taylor expansion of (* re re) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [taylor]: Taking taylor expansion of (* im im) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.560 * [backup-simplify]: Simplify (* 0 0) into 0 0.560 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.560 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.560 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.561 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.561 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.561 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.562 * [taylor]: Taking taylor expansion of (* re re) in re 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of re in re 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of (* im im) in re 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [backup-simplify]: Simplify im into im 0.562 * [taylor]: Taking taylor expansion of im in re 0.562 * [backup-simplify]: Simplify im into im 0.562 * [backup-simplify]: Simplify (* 0 0) into 0 0.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.562 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.563 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.563 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.563 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.564 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.564 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.564 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.564 * [taylor]: Taking taylor expansion of (* re re) in re 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [taylor]: Taking taylor expansion of (* im im) in re 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [backup-simplify]: Simplify im into im 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [backup-simplify]: Simplify im into im 0.565 * [backup-simplify]: Simplify (* 0 0) into 0 0.565 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.565 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.565 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.566 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.566 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.567 * [taylor]: Taking taylor expansion of im in im 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [taylor]: Taking taylor expansion of 0 in im 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.568 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.569 * [backup-simplify]: Simplify (+ 1 0) into 1 0.569 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.569 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.569 * [taylor]: Taking taylor expansion of 1/2 in im 0.569 * [backup-simplify]: Simplify 1/2 into 1/2 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.573 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.573 * [taylor]: Taking taylor expansion of 0 in im 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.575 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.575 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.575 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.575 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.575 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.575 * [taylor]: Taking taylor expansion of re in im 0.575 * [backup-simplify]: Simplify re into re 0.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.575 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.575 * [taylor]: Taking taylor expansion of re in im 0.575 * [backup-simplify]: Simplify re into re 0.575 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.576 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.576 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.576 * [taylor]: Taking taylor expansion of im in im 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.576 * [taylor]: Taking taylor expansion of im in im 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (+ 0 1) into 1 0.580 * [backup-simplify]: Simplify (sqrt 1) into 1 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.582 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.583 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.584 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.584 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.584 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.585 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.585 * [taylor]: Taking taylor expansion of im in re 0.585 * [backup-simplify]: Simplify im into im 0.585 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.585 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.585 * [taylor]: Taking taylor expansion of im in re 0.585 * [backup-simplify]: Simplify im into im 0.585 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.586 * [backup-simplify]: Simplify (+ 1 0) into 1 0.586 * [backup-simplify]: Simplify (sqrt 1) into 1 0.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.589 * [backup-simplify]: Simplify (+ 0 0) into 0 0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.590 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.590 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.590 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.590 * [taylor]: Taking taylor expansion of re in re 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.591 * [taylor]: Taking taylor expansion of re in re 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [backup-simplify]: Simplify im into im 0.591 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.591 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.591 * [taylor]: Taking taylor expansion of im in re 0.591 * [backup-simplify]: Simplify im into im 0.591 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (+ 1 0) into 1 0.593 * [backup-simplify]: Simplify (sqrt 1) into 1 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.596 * [taylor]: Taking taylor expansion of 1 in im 0.596 * [backup-simplify]: Simplify 1 into 1 0.596 * [taylor]: Taking taylor expansion of 0 in im 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.599 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.600 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.601 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.601 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.601 * [taylor]: Taking taylor expansion of 1/2 in im 0.601 * [backup-simplify]: Simplify 1/2 into 1/2 0.601 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.601 * [taylor]: Taking taylor expansion of im in im 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.608 * [taylor]: Taking taylor expansion of 0 in im 0.608 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.611 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.611 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.611 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.611 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.611 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.611 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.611 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.611 * [taylor]: Taking taylor expansion of -1 in im 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [backup-simplify]: Simplify re into re 0.611 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.611 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.611 * [taylor]: Taking taylor expansion of -1 in im 0.611 * [backup-simplify]: Simplify -1 into -1 0.611 * [taylor]: Taking taylor expansion of re in im 0.611 * [backup-simplify]: Simplify re into re 0.612 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.612 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.612 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.612 * [taylor]: Taking taylor expansion of -1 in im 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of im in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [backup-simplify]: Simplify (/ -1 1) into -1 0.612 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.612 * [taylor]: Taking taylor expansion of -1 in im 0.612 * [backup-simplify]: Simplify -1 into -1 0.612 * [taylor]: Taking taylor expansion of im in im 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (/ -1 1) into -1 0.613 * [backup-simplify]: Simplify (* -1 -1) into 1 0.614 * [backup-simplify]: Simplify (+ 0 1) into 1 0.614 * [backup-simplify]: Simplify (sqrt 1) into 1 0.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.618 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.618 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.618 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.618 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.618 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.618 * [taylor]: Taking taylor expansion of -1 in re 0.618 * [backup-simplify]: Simplify -1 into -1 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ -1 1) into -1 0.619 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.619 * [taylor]: Taking taylor expansion of -1 in re 0.619 * [backup-simplify]: Simplify -1 into -1 0.619 * [taylor]: Taking taylor expansion of re in re 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (/ -1 1) into -1 0.619 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.619 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.619 * [taylor]: Taking taylor expansion of -1 in re 0.619 * [backup-simplify]: Simplify -1 into -1 0.619 * [taylor]: Taking taylor expansion of im in re 0.619 * [backup-simplify]: Simplify im into im 0.619 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.619 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.619 * [taylor]: Taking taylor expansion of -1 in re 0.620 * [backup-simplify]: Simplify -1 into -1 0.620 * [taylor]: Taking taylor expansion of im in re 0.620 * [backup-simplify]: Simplify im into im 0.620 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.620 * [backup-simplify]: Simplify (* -1 -1) into 1 0.620 * [backup-simplify]: Simplify (+ 1 0) into 1 0.621 * [backup-simplify]: Simplify (sqrt 1) into 1 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.624 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.625 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.625 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.625 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.625 * [taylor]: Taking taylor expansion of -1 in re 0.625 * [backup-simplify]: Simplify -1 into -1 0.625 * [taylor]: Taking taylor expansion of re in re 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (/ -1 1) into -1 0.625 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.625 * [taylor]: Taking taylor expansion of -1 in re 0.625 * [backup-simplify]: Simplify -1 into -1 0.625 * [taylor]: Taking taylor expansion of re in re 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [backup-simplify]: Simplify (/ -1 1) into -1 0.626 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.626 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.626 * [taylor]: Taking taylor expansion of -1 in re 0.626 * [backup-simplify]: Simplify -1 into -1 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [backup-simplify]: Simplify im into im 0.626 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.626 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.626 * [taylor]: Taking taylor expansion of -1 in re 0.626 * [backup-simplify]: Simplify -1 into -1 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [backup-simplify]: Simplify im into im 0.626 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.627 * [backup-simplify]: Simplify (* -1 -1) into 1 0.627 * [backup-simplify]: Simplify (+ 1 0) into 1 0.628 * [backup-simplify]: Simplify (sqrt 1) into 1 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.631 * [taylor]: Taking taylor expansion of 1 in im 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of 0 in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.635 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.635 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.636 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.636 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.636 * [taylor]: Taking taylor expansion of 1/2 in im 0.636 * [backup-simplify]: Simplify 1/2 into 1/2 0.636 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.636 * [taylor]: Taking taylor expansion of im in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify 1 into 1 0.637 * [backup-simplify]: Simplify (* 1 1) into 1 0.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.643 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.643 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.644 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.644 * [taylor]: Taking taylor expansion of 0 in im 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.647 * * * [progress]: simplifying candidates 0.648 * [simplify]: Simplifying: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (expm1 (sqrt (* (+ (hypot re im) re) 2.0))) (log1p (sqrt (* (+ (hypot re im) re) 2.0))) (log (sqrt (* (+ (hypot re im) re) 2.0))) (exp (sqrt (* (+ (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (* (* (sqrt (* (+ (hypot re im) re) 2.0)) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 im re (* -1 re) 0.649 * * [simplify]: iteration 0: 86 enodes 0.678 * * [simplify]: iteration 1: 187 enodes 0.736 * * [simplify]: iteration 2: 612 enodes 1.285 * * [simplify]: iteration 3: 3673 enodes 2.367 * * [simplify]: iteration complete: 5000 enodes 2.367 * * [simplify]: Extracting #0: cost 44 inf + 0 2.368 * * [simplify]: Extracting #1: cost 428 inf + 87 2.381 * * [simplify]: Extracting #2: cost 1049 inf + 20975 2.432 * * [simplify]: Extracting #3: cost 280 inf + 137245 2.514 * * [simplify]: Extracting #4: cost 10 inf + 180044 2.595 * * [simplify]: Extracting #5: cost 0 inf + 183099 2.668 * * [simplify]: Extracting #6: cost 0 inf + 183084 2.722 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (* (+ (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re) (+ re (hypot re im)) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (* (sqrt (* (+ re (hypot re im)) 2.0)) (* (+ re (hypot re im)) 2.0)) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* 2.0 (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))))) (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))) (sqrt (* 2.0 (* (+ (hypot re im) re) (- (hypot re im) re)))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ im re) (* re 2) 0 (* (* +nan.0 (sqrt 2.0)) (fma re (- re) (- im re))) (- (* (sqrt 2.0) (- +nan.0)) (- (/ (* (sqrt 2.0) (- +nan.0)) re) (/ (* (sqrt 2.0) (- +nan.0)) (* re re)))) 0 im re (- re) 2.725 * * * [progress]: adding candidates to table 3.058 * * [progress]: iteration 2 / 4 3.058 * * * [progress]: picking best candidate 3.109 * * * * [pick]: Picked # 3.109 * * * [progress]: localizing error 3.142 * * * [progress]: generating rewritten candidates 3.142 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 3.152 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 3.163 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 3.178 * * * [progress]: generating series expansions 3.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 3.179 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 3.179 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 3.179 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.179 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.179 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.179 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.179 * [taylor]: Taking taylor expansion of (* re re) in im 3.179 * [taylor]: Taking taylor expansion of re in im 3.179 * [backup-simplify]: Simplify re into re 3.179 * [taylor]: Taking taylor expansion of re in im 3.179 * [backup-simplify]: Simplify re into re 3.179 * [taylor]: Taking taylor expansion of (* im im) in im 3.179 * [taylor]: Taking taylor expansion of im in im 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [taylor]: Taking taylor expansion of im in im 3.179 * [backup-simplify]: Simplify 0 into 0 3.179 * [backup-simplify]: Simplify 1 into 1 3.179 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.180 * [backup-simplify]: Simplify (* 0 0) into 0 3.180 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.180 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.180 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.181 * [backup-simplify]: Simplify (+ 0 0) into 0 3.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.181 * [taylor]: Taking taylor expansion of re in im 3.181 * [backup-simplify]: Simplify re into re 3.181 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.181 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.181 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.181 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.181 * [taylor]: Taking taylor expansion of (* re re) in re 3.181 * [taylor]: Taking taylor expansion of re in re 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [taylor]: Taking taylor expansion of re in re 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [taylor]: Taking taylor expansion of (* im im) in re 3.181 * [taylor]: Taking taylor expansion of im in re 3.181 * [backup-simplify]: Simplify im into im 3.181 * [taylor]: Taking taylor expansion of im in re 3.181 * [backup-simplify]: Simplify im into im 3.181 * [backup-simplify]: Simplify (* 0 0) into 0 3.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.181 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.181 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.182 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.182 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.182 * [backup-simplify]: Simplify (+ 0 0) into 0 3.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.182 * [taylor]: Taking taylor expansion of re in re 3.182 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify 1 into 1 3.182 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.182 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.182 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.183 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.183 * [taylor]: Taking taylor expansion of (* re re) in re 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [taylor]: Taking taylor expansion of re in re 3.183 * [backup-simplify]: Simplify 0 into 0 3.183 * [backup-simplify]: Simplify 1 into 1 3.183 * [taylor]: Taking taylor expansion of (* im im) in re 3.183 * [taylor]: Taking taylor expansion of im in re 3.183 * [backup-simplify]: Simplify im into im 3.183 * [taylor]: Taking taylor expansion of im in re 3.183 * [backup-simplify]: Simplify im into im 3.183 * [backup-simplify]: Simplify (* 0 0) into 0 3.183 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.183 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.183 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.184 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.184 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.184 * [backup-simplify]: Simplify (+ 0 0) into 0 3.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.184 * [taylor]: Taking taylor expansion of re in re 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify (+ im 0) into im 3.184 * [taylor]: Taking taylor expansion of im in im 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify 1 into 1 3.184 * [backup-simplify]: Simplify 0 into 0 3.184 * [backup-simplify]: Simplify (+ 0 1) into 1 3.184 * [taylor]: Taking taylor expansion of 1 in im 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.185 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.186 * [backup-simplify]: Simplify (+ 1 0) into 1 3.186 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.186 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.186 * [taylor]: Taking taylor expansion of 1/2 in im 3.186 * [backup-simplify]: Simplify 1/2 into 1/2 3.186 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.186 * [taylor]: Taking taylor expansion of im in im 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.187 * [backup-simplify]: Simplify 0 into 0 3.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.189 * [taylor]: Taking taylor expansion of 0 in im 3.189 * [backup-simplify]: Simplify 0 into 0 3.189 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.191 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 3.191 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 3.191 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.191 * [taylor]: Taking taylor expansion of re in im 3.191 * [backup-simplify]: Simplify re into re 3.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.191 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.191 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.191 * [taylor]: Taking taylor expansion of re in im 3.191 * [backup-simplify]: Simplify re into re 3.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.191 * [taylor]: Taking taylor expansion of re in im 3.191 * [backup-simplify]: Simplify re into re 3.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.191 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.191 * [taylor]: Taking taylor expansion of im in im 3.191 * [backup-simplify]: Simplify 0 into 0 3.191 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.192 * [taylor]: Taking taylor expansion of im in im 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify 1 into 1 3.192 * [backup-simplify]: Simplify (/ 1 1) into 1 3.192 * [backup-simplify]: Simplify (* 1 1) into 1 3.192 * [backup-simplify]: Simplify (+ 0 1) into 1 3.193 * [backup-simplify]: Simplify (sqrt 1) into 1 3.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.194 * [backup-simplify]: Simplify (+ 0 0) into 0 3.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.195 * [taylor]: Taking taylor expansion of re in re 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.195 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.195 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.195 * [taylor]: Taking taylor expansion of re in re 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.195 * [backup-simplify]: Simplify (/ 1 1) into 1 3.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.195 * [taylor]: Taking taylor expansion of re in re 3.195 * [backup-simplify]: Simplify 0 into 0 3.195 * [backup-simplify]: Simplify 1 into 1 3.196 * [backup-simplify]: Simplify (/ 1 1) into 1 3.196 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.196 * [taylor]: Taking taylor expansion of im in re 3.196 * [backup-simplify]: Simplify im into im 3.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.196 * [taylor]: Taking taylor expansion of im in re 3.196 * [backup-simplify]: Simplify im into im 3.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.196 * [backup-simplify]: Simplify (* 1 1) into 1 3.197 * [backup-simplify]: Simplify (+ 1 0) into 1 3.197 * [backup-simplify]: Simplify (sqrt 1) into 1 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.198 * [backup-simplify]: Simplify (+ 0 0) into 0 3.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.199 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.199 * [taylor]: Taking taylor expansion of re in re 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.199 * [backup-simplify]: Simplify (/ 1 1) into 1 3.199 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.199 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.199 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.199 * [taylor]: Taking taylor expansion of re in re 3.199 * [backup-simplify]: Simplify 0 into 0 3.199 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (/ 1 1) into 1 3.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.200 * [taylor]: Taking taylor expansion of re in re 3.200 * [backup-simplify]: Simplify 0 into 0 3.200 * [backup-simplify]: Simplify 1 into 1 3.200 * [backup-simplify]: Simplify (/ 1 1) into 1 3.200 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.200 * [taylor]: Taking taylor expansion of im in re 3.200 * [backup-simplify]: Simplify im into im 3.200 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.200 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.200 * [taylor]: Taking taylor expansion of im in re 3.200 * [backup-simplify]: Simplify im into im 3.200 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.200 * [backup-simplify]: Simplify (* 1 1) into 1 3.201 * [backup-simplify]: Simplify (+ 1 0) into 1 3.201 * [backup-simplify]: Simplify (sqrt 1) into 1 3.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.208 * [backup-simplify]: Simplify (+ 1 1) into 2 3.208 * [taylor]: Taking taylor expansion of 2 in im 3.208 * [backup-simplify]: Simplify 2 into 2 3.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.208 * [backup-simplify]: Simplify (+ 0 0) into 0 3.208 * [taylor]: Taking taylor expansion of 0 in im 3.209 * [backup-simplify]: Simplify 0 into 0 3.209 * [backup-simplify]: Simplify 2 into 2 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.211 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.211 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.212 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.212 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.212 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.212 * [taylor]: Taking taylor expansion of 1/2 in im 3.212 * [backup-simplify]: Simplify 1/2 into 1/2 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.212 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.212 * [taylor]: Taking taylor expansion of im in im 3.212 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify 1 into 1 3.212 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (/ 1 1) into 1 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify 0 into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.216 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.216 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.217 * [backup-simplify]: Simplify (+ 0 0) into 0 3.217 * [taylor]: Taking taylor expansion of 0 in im 3.217 * [backup-simplify]: Simplify 0 into 0 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify 0 into 0 3.219 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.219 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 3.219 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 3.219 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.219 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.219 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.219 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.219 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.219 * [taylor]: Taking taylor expansion of -1 in im 3.220 * [backup-simplify]: Simplify -1 into -1 3.220 * [taylor]: Taking taylor expansion of re in im 3.220 * [backup-simplify]: Simplify re into re 3.220 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.220 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.220 * [taylor]: Taking taylor expansion of -1 in im 3.220 * [backup-simplify]: Simplify -1 into -1 3.220 * [taylor]: Taking taylor expansion of re in im 3.220 * [backup-simplify]: Simplify re into re 3.220 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.220 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.220 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.220 * [taylor]: Taking taylor expansion of -1 in im 3.220 * [backup-simplify]: Simplify -1 into -1 3.220 * [taylor]: Taking taylor expansion of im in im 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (/ -1 1) into -1 3.220 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.220 * [taylor]: Taking taylor expansion of -1 in im 3.220 * [backup-simplify]: Simplify -1 into -1 3.220 * [taylor]: Taking taylor expansion of im in im 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.220 * [backup-simplify]: Simplify (/ -1 1) into -1 3.221 * [backup-simplify]: Simplify (* -1 -1) into 1 3.221 * [backup-simplify]: Simplify (+ 0 1) into 1 3.222 * [backup-simplify]: Simplify (sqrt 1) into 1 3.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.224 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.224 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.225 * [taylor]: Taking taylor expansion of re in im 3.225 * [backup-simplify]: Simplify re into re 3.225 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.225 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.225 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.226 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.226 * [taylor]: Taking taylor expansion of -1 in re 3.226 * [backup-simplify]: Simplify -1 into -1 3.226 * [taylor]: Taking taylor expansion of re in re 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.226 * [backup-simplify]: Simplify (/ -1 1) into -1 3.226 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.226 * [taylor]: Taking taylor expansion of -1 in re 3.226 * [backup-simplify]: Simplify -1 into -1 3.226 * [taylor]: Taking taylor expansion of re in re 3.226 * [backup-simplify]: Simplify 0 into 0 3.226 * [backup-simplify]: Simplify 1 into 1 3.227 * [backup-simplify]: Simplify (/ -1 1) into -1 3.227 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.227 * [taylor]: Taking taylor expansion of -1 in re 3.227 * [backup-simplify]: Simplify -1 into -1 3.227 * [taylor]: Taking taylor expansion of im in re 3.227 * [backup-simplify]: Simplify im into im 3.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.227 * [taylor]: Taking taylor expansion of -1 in re 3.227 * [backup-simplify]: Simplify -1 into -1 3.227 * [taylor]: Taking taylor expansion of im in re 3.227 * [backup-simplify]: Simplify im into im 3.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.228 * [backup-simplify]: Simplify (* -1 -1) into 1 3.228 * [backup-simplify]: Simplify (+ 1 0) into 1 3.229 * [backup-simplify]: Simplify (sqrt 1) into 1 3.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.231 * [backup-simplify]: Simplify (+ 0 0) into 0 3.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.232 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.232 * [taylor]: Taking taylor expansion of re in re 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.233 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.233 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.233 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.233 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.233 * [taylor]: Taking taylor expansion of -1 in re 3.233 * [backup-simplify]: Simplify -1 into -1 3.233 * [taylor]: Taking taylor expansion of re in re 3.233 * [backup-simplify]: Simplify 0 into 0 3.233 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (/ -1 1) into -1 3.234 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.234 * [taylor]: Taking taylor expansion of -1 in re 3.234 * [backup-simplify]: Simplify -1 into -1 3.234 * [taylor]: Taking taylor expansion of re in re 3.234 * [backup-simplify]: Simplify 0 into 0 3.234 * [backup-simplify]: Simplify 1 into 1 3.234 * [backup-simplify]: Simplify (/ -1 1) into -1 3.234 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.234 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.234 * [taylor]: Taking taylor expansion of -1 in re 3.234 * [backup-simplify]: Simplify -1 into -1 3.234 * [taylor]: Taking taylor expansion of im in re 3.234 * [backup-simplify]: Simplify im into im 3.234 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.234 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.235 * [taylor]: Taking taylor expansion of -1 in re 3.235 * [backup-simplify]: Simplify -1 into -1 3.235 * [taylor]: Taking taylor expansion of im in re 3.235 * [backup-simplify]: Simplify im into im 3.235 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.235 * [backup-simplify]: Simplify (* -1 -1) into 1 3.236 * [backup-simplify]: Simplify (+ 1 0) into 1 3.236 * [backup-simplify]: Simplify (sqrt 1) into 1 3.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.238 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.239 * [backup-simplify]: Simplify (+ 0 0) into 0 3.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.240 * [taylor]: Taking taylor expansion of re in re 3.240 * [backup-simplify]: Simplify 0 into 0 3.240 * [backup-simplify]: Simplify 1 into 1 3.240 * [backup-simplify]: Simplify (/ 1 1) into 1 3.240 * [backup-simplify]: Simplify (- 1) into -1 3.241 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.241 * [taylor]: Taking taylor expansion of 0 in im 3.241 * [backup-simplify]: Simplify 0 into 0 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.242 * [backup-simplify]: Simplify (- 0) into 0 3.242 * [backup-simplify]: Simplify (+ 0 0) into 0 3.243 * [taylor]: Taking taylor expansion of 0 in im 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.246 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.246 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.246 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.248 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.249 * [backup-simplify]: Simplify (- 0) into 0 3.249 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.249 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.249 * [taylor]: Taking taylor expansion of 1/2 in im 3.249 * [backup-simplify]: Simplify 1/2 into 1/2 3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.250 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.250 * [taylor]: Taking taylor expansion of im in im 3.250 * [backup-simplify]: Simplify 0 into 0 3.250 * [backup-simplify]: Simplify 1 into 1 3.250 * [backup-simplify]: Simplify (* 1 1) into 1 3.250 * [backup-simplify]: Simplify (/ 1 1) into 1 3.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.253 * [backup-simplify]: Simplify 0 into 0 3.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.256 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.256 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.256 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.257 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.257 * [backup-simplify]: Simplify (+ 0 0) into 0 3.257 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.258 * [backup-simplify]: Simplify (- 0) into 0 3.258 * [backup-simplify]: Simplify (+ 0 0) into 0 3.258 * [taylor]: Taking taylor expansion of 0 in im 3.258 * [backup-simplify]: Simplify 0 into 0 3.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * [backup-simplify]: Simplify 0 into 0 3.260 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 3.260 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 3.260 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 3.260 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.260 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.260 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.261 * [taylor]: Taking taylor expansion of (* re re) in im 3.261 * [taylor]: Taking taylor expansion of re in im 3.261 * [backup-simplify]: Simplify re into re 3.261 * [taylor]: Taking taylor expansion of re in im 3.261 * [backup-simplify]: Simplify re into re 3.261 * [taylor]: Taking taylor expansion of (* im im) in im 3.261 * [taylor]: Taking taylor expansion of im in im 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [taylor]: Taking taylor expansion of im in im 3.261 * [backup-simplify]: Simplify 0 into 0 3.261 * [backup-simplify]: Simplify 1 into 1 3.261 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.261 * [backup-simplify]: Simplify (* 0 0) into 0 3.261 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.261 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.261 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.262 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.262 * [backup-simplify]: Simplify (+ 0 0) into 0 3.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.262 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.262 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.262 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.262 * [taylor]: Taking taylor expansion of (* re re) in re 3.262 * [taylor]: Taking taylor expansion of re in re 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [taylor]: Taking taylor expansion of re in re 3.262 * [backup-simplify]: Simplify 0 into 0 3.262 * [backup-simplify]: Simplify 1 into 1 3.262 * [taylor]: Taking taylor expansion of (* im im) in re 3.262 * [taylor]: Taking taylor expansion of im in re 3.262 * [backup-simplify]: Simplify im into im 3.262 * [taylor]: Taking taylor expansion of im in re 3.262 * [backup-simplify]: Simplify im into im 3.263 * [backup-simplify]: Simplify (* 0 0) into 0 3.263 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.263 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.263 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.263 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.264 * [backup-simplify]: Simplify (+ 0 0) into 0 3.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.264 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.264 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.264 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.264 * [taylor]: Taking taylor expansion of (* re re) in re 3.264 * [taylor]: Taking taylor expansion of re in re 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [taylor]: Taking taylor expansion of re in re 3.264 * [backup-simplify]: Simplify 0 into 0 3.264 * [backup-simplify]: Simplify 1 into 1 3.264 * [taylor]: Taking taylor expansion of (* im im) in re 3.264 * [taylor]: Taking taylor expansion of im in re 3.264 * [backup-simplify]: Simplify im into im 3.264 * [taylor]: Taking taylor expansion of im in re 3.264 * [backup-simplify]: Simplify im into im 3.264 * [backup-simplify]: Simplify (* 0 0) into 0 3.264 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.264 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.264 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.265 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.265 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.265 * [backup-simplify]: Simplify (+ 0 0) into 0 3.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.265 * [taylor]: Taking taylor expansion of im in im 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [taylor]: Taking taylor expansion of 0 in im 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 0 into 0 3.265 * [backup-simplify]: Simplify 1 into 1 3.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.266 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.266 * [backup-simplify]: Simplify (+ 1 0) into 1 3.267 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.267 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.267 * [taylor]: Taking taylor expansion of 1/2 in im 3.267 * [backup-simplify]: Simplify 1/2 into 1/2 3.267 * [taylor]: Taking taylor expansion of im in im 3.267 * [backup-simplify]: Simplify 0 into 0 3.267 * [backup-simplify]: Simplify 1 into 1 3.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify 0 into 0 3.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.269 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.269 * [backup-simplify]: Simplify (+ 0 0) into 0 3.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.269 * [taylor]: Taking taylor expansion of 0 in im 3.269 * [backup-simplify]: Simplify 0 into 0 3.269 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify 0 into 0 3.270 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.270 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 3.270 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 3.270 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.270 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.270 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.270 * [taylor]: Taking taylor expansion of re in im 3.270 * [backup-simplify]: Simplify re into re 3.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.271 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.271 * [taylor]: Taking taylor expansion of re in im 3.271 * [backup-simplify]: Simplify re into re 3.271 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.271 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.271 * [taylor]: Taking taylor expansion of im in im 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.271 * [taylor]: Taking taylor expansion of im in im 3.271 * [backup-simplify]: Simplify 0 into 0 3.271 * [backup-simplify]: Simplify 1 into 1 3.271 * [backup-simplify]: Simplify (/ 1 1) into 1 3.271 * [backup-simplify]: Simplify (* 1 1) into 1 3.272 * [backup-simplify]: Simplify (+ 0 1) into 1 3.272 * [backup-simplify]: Simplify (sqrt 1) into 1 3.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.273 * [backup-simplify]: Simplify (+ 0 0) into 0 3.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.274 * [taylor]: Taking taylor expansion of re in re 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.274 * [backup-simplify]: Simplify (/ 1 1) into 1 3.274 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.274 * [taylor]: Taking taylor expansion of re in re 3.274 * [backup-simplify]: Simplify 0 into 0 3.274 * [backup-simplify]: Simplify 1 into 1 3.275 * [backup-simplify]: Simplify (/ 1 1) into 1 3.275 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.275 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.275 * [taylor]: Taking taylor expansion of im in re 3.275 * [backup-simplify]: Simplify im into im 3.275 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.275 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.275 * [taylor]: Taking taylor expansion of im in re 3.275 * [backup-simplify]: Simplify im into im 3.275 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.275 * [backup-simplify]: Simplify (* 1 1) into 1 3.275 * [backup-simplify]: Simplify (+ 1 0) into 1 3.276 * [backup-simplify]: Simplify (sqrt 1) into 1 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.277 * [backup-simplify]: Simplify (+ 0 0) into 0 3.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.278 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.278 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.278 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.278 * [taylor]: Taking taylor expansion of re in re 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (/ 1 1) into 1 3.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.278 * [taylor]: Taking taylor expansion of re in re 3.278 * [backup-simplify]: Simplify 0 into 0 3.278 * [backup-simplify]: Simplify 1 into 1 3.278 * [backup-simplify]: Simplify (/ 1 1) into 1 3.278 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.278 * [taylor]: Taking taylor expansion of im in re 3.278 * [backup-simplify]: Simplify im into im 3.278 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.278 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.278 * [taylor]: Taking taylor expansion of im in re 3.278 * [backup-simplify]: Simplify im into im 3.279 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.279 * [backup-simplify]: Simplify (* 1 1) into 1 3.279 * [backup-simplify]: Simplify (+ 1 0) into 1 3.279 * [backup-simplify]: Simplify (sqrt 1) into 1 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.281 * [backup-simplify]: Simplify (+ 0 0) into 0 3.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.281 * [taylor]: Taking taylor expansion of 1 in im 3.281 * [backup-simplify]: Simplify 1 into 1 3.281 * [taylor]: Taking taylor expansion of 0 in im 3.281 * [backup-simplify]: Simplify 0 into 0 3.281 * [backup-simplify]: Simplify 1 into 1 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.283 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.284 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.284 * [taylor]: Taking taylor expansion of 1/2 in im 3.284 * [backup-simplify]: Simplify 1/2 into 1/2 3.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.284 * [taylor]: Taking taylor expansion of im in im 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (* 1 1) into 1 3.285 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify 0 into 0 3.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.288 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.288 * [backup-simplify]: Simplify (+ 0 0) into 0 3.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.288 * [taylor]: Taking taylor expansion of 0 in im 3.288 * [backup-simplify]: Simplify 0 into 0 3.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.290 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 3.290 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 3.290 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.290 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.290 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.290 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.290 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.290 * [taylor]: Taking taylor expansion of -1 in im 3.290 * [backup-simplify]: Simplify -1 into -1 3.290 * [taylor]: Taking taylor expansion of re in im 3.290 * [backup-simplify]: Simplify re into re 3.290 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.290 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.290 * [taylor]: Taking taylor expansion of -1 in im 3.290 * [backup-simplify]: Simplify -1 into -1 3.290 * [taylor]: Taking taylor expansion of re in im 3.290 * [backup-simplify]: Simplify re into re 3.290 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.290 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.290 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.290 * [taylor]: Taking taylor expansion of -1 in im 3.290 * [backup-simplify]: Simplify -1 into -1 3.290 * [taylor]: Taking taylor expansion of im in im 3.290 * [backup-simplify]: Simplify 0 into 0 3.290 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (/ -1 1) into -1 3.291 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.291 * [taylor]: Taking taylor expansion of -1 in im 3.291 * [backup-simplify]: Simplify -1 into -1 3.291 * [taylor]: Taking taylor expansion of im in im 3.291 * [backup-simplify]: Simplify 0 into 0 3.291 * [backup-simplify]: Simplify 1 into 1 3.291 * [backup-simplify]: Simplify (/ -1 1) into -1 3.291 * [backup-simplify]: Simplify (* -1 -1) into 1 3.292 * [backup-simplify]: Simplify (+ 0 1) into 1 3.292 * [backup-simplify]: Simplify (sqrt 1) into 1 3.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.293 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.294 * [backup-simplify]: Simplify (+ 0 0) into 0 3.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.294 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.294 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.294 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.294 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.294 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.294 * [taylor]: Taking taylor expansion of -1 in re 3.294 * [backup-simplify]: Simplify -1 into -1 3.294 * [taylor]: Taking taylor expansion of re in re 3.294 * [backup-simplify]: Simplify 0 into 0 3.294 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (/ -1 1) into -1 3.295 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.295 * [taylor]: Taking taylor expansion of -1 in re 3.295 * [backup-simplify]: Simplify -1 into -1 3.295 * [taylor]: Taking taylor expansion of re in re 3.295 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify 1 into 1 3.295 * [backup-simplify]: Simplify (/ -1 1) into -1 3.295 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.295 * [taylor]: Taking taylor expansion of -1 in re 3.295 * [backup-simplify]: Simplify -1 into -1 3.295 * [taylor]: Taking taylor expansion of im in re 3.295 * [backup-simplify]: Simplify im into im 3.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.295 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.295 * [taylor]: Taking taylor expansion of -1 in re 3.295 * [backup-simplify]: Simplify -1 into -1 3.295 * [taylor]: Taking taylor expansion of im in re 3.295 * [backup-simplify]: Simplify im into im 3.295 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.295 * [backup-simplify]: Simplify (* -1 -1) into 1 3.296 * [backup-simplify]: Simplify (+ 1 0) into 1 3.296 * [backup-simplify]: Simplify (sqrt 1) into 1 3.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.297 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.298 * [backup-simplify]: Simplify (+ 0 0) into 0 3.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.298 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.298 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.298 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.298 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.298 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.298 * [taylor]: Taking taylor expansion of -1 in re 3.298 * [backup-simplify]: Simplify -1 into -1 3.298 * [taylor]: Taking taylor expansion of re in re 3.298 * [backup-simplify]: Simplify 0 into 0 3.298 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (/ -1 1) into -1 3.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.299 * [taylor]: Taking taylor expansion of -1 in re 3.299 * [backup-simplify]: Simplify -1 into -1 3.299 * [taylor]: Taking taylor expansion of re in re 3.299 * [backup-simplify]: Simplify 0 into 0 3.299 * [backup-simplify]: Simplify 1 into 1 3.299 * [backup-simplify]: Simplify (/ -1 1) into -1 3.299 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.299 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.299 * [taylor]: Taking taylor expansion of -1 in re 3.299 * [backup-simplify]: Simplify -1 into -1 3.299 * [taylor]: Taking taylor expansion of im in re 3.299 * [backup-simplify]: Simplify im into im 3.299 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.299 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.299 * [taylor]: Taking taylor expansion of -1 in re 3.299 * [backup-simplify]: Simplify -1 into -1 3.299 * [taylor]: Taking taylor expansion of im in re 3.299 * [backup-simplify]: Simplify im into im 3.299 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.300 * [backup-simplify]: Simplify (* -1 -1) into 1 3.300 * [backup-simplify]: Simplify (+ 1 0) into 1 3.300 * [backup-simplify]: Simplify (sqrt 1) into 1 3.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.301 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.302 * [backup-simplify]: Simplify (+ 0 0) into 0 3.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.302 * [taylor]: Taking taylor expansion of 1 in im 3.302 * [backup-simplify]: Simplify 1 into 1 3.302 * [taylor]: Taking taylor expansion of 0 in im 3.302 * [backup-simplify]: Simplify 0 into 0 3.302 * [backup-simplify]: Simplify 1 into 1 3.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.304 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.304 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.305 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.305 * [taylor]: Taking taylor expansion of 1/2 in im 3.305 * [backup-simplify]: Simplify 1/2 into 1/2 3.305 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.305 * [taylor]: Taking taylor expansion of im in im 3.305 * [backup-simplify]: Simplify 0 into 0 3.305 * [backup-simplify]: Simplify 1 into 1 3.305 * [backup-simplify]: Simplify (* 1 1) into 1 3.306 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify 0 into 0 3.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.309 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.309 * [backup-simplify]: Simplify (+ 0 0) into 0 3.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.310 * [taylor]: Taking taylor expansion of 0 in im 3.310 * [backup-simplify]: Simplify 0 into 0 3.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify 0 into 0 3.313 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.313 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.313 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 3.313 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 3.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 3.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.313 * [taylor]: Taking taylor expansion of 2.0 in im 3.313 * [backup-simplify]: Simplify 2.0 into 2.0 3.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.314 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 3.314 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.314 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.314 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.314 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.314 * [taylor]: Taking taylor expansion of (* re re) in im 3.314 * [taylor]: Taking taylor expansion of re in im 3.315 * [backup-simplify]: Simplify re into re 3.315 * [taylor]: Taking taylor expansion of re in im 3.315 * [backup-simplify]: Simplify re into re 3.315 * [taylor]: Taking taylor expansion of (* im im) in im 3.315 * [taylor]: Taking taylor expansion of im in im 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [taylor]: Taking taylor expansion of im in im 3.315 * [backup-simplify]: Simplify 0 into 0 3.315 * [backup-simplify]: Simplify 1 into 1 3.315 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.315 * [backup-simplify]: Simplify (* 0 0) into 0 3.315 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.315 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.315 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.316 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.316 * [taylor]: Taking taylor expansion of re in im 3.316 * [backup-simplify]: Simplify re into re 3.316 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.316 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 3.316 * [backup-simplify]: Simplify (+ 0 0) into 0 3.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.316 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 3.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.317 * [taylor]: Taking taylor expansion of 2.0 in re 3.317 * [backup-simplify]: Simplify 2.0 into 2.0 3.317 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.317 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 3.317 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.317 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.317 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.317 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.317 * [taylor]: Taking taylor expansion of (* re re) in re 3.317 * [taylor]: Taking taylor expansion of re in re 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [taylor]: Taking taylor expansion of re in re 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of (* im im) in re 3.318 * [taylor]: Taking taylor expansion of im in re 3.318 * [backup-simplify]: Simplify im into im 3.318 * [taylor]: Taking taylor expansion of im in re 3.318 * [backup-simplify]: Simplify im into im 3.318 * [backup-simplify]: Simplify (* 0 0) into 0 3.318 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.318 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.318 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.318 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.319 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.319 * [backup-simplify]: Simplify (+ 0 0) into 0 3.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.319 * [taylor]: Taking taylor expansion of re in re 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (+ im 0) into im 3.319 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.319 * [backup-simplify]: Simplify (+ 0 1) into 1 3.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.319 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 3.319 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.319 * [taylor]: Taking taylor expansion of 2.0 in re 3.319 * [backup-simplify]: Simplify 2.0 into 2.0 3.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.320 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 3.320 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.320 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.320 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.320 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.320 * [taylor]: Taking taylor expansion of (* re re) in re 3.320 * [taylor]: Taking taylor expansion of re in re 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of re in re 3.320 * [backup-simplify]: Simplify 0 into 0 3.320 * [backup-simplify]: Simplify 1 into 1 3.320 * [taylor]: Taking taylor expansion of (* im im) in re 3.320 * [taylor]: Taking taylor expansion of im in re 3.320 * [backup-simplify]: Simplify im into im 3.320 * [taylor]: Taking taylor expansion of im in re 3.320 * [backup-simplify]: Simplify im into im 3.321 * [backup-simplify]: Simplify (* 0 0) into 0 3.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.321 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.322 * [backup-simplify]: Simplify (+ 0 0) into 0 3.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.322 * [taylor]: Taking taylor expansion of re in re 3.322 * [backup-simplify]: Simplify 0 into 0 3.322 * [backup-simplify]: Simplify 1 into 1 3.322 * [backup-simplify]: Simplify (+ im 0) into im 3.322 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.322 * [backup-simplify]: Simplify (+ 0 1) into 1 3.322 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.322 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 3.322 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.323 * [taylor]: Taking taylor expansion of 2.0 in im 3.323 * [backup-simplify]: Simplify 2.0 into 2.0 3.323 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.323 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.323 * [taylor]: Taking taylor expansion of im in im 3.323 * [backup-simplify]: Simplify 0 into 0 3.323 * [backup-simplify]: Simplify 1 into 1 3.324 * [backup-simplify]: Simplify (sqrt 0) into 0 3.325 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.325 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 3.325 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.325 * [taylor]: Taking taylor expansion of 1/2 in im 3.325 * [backup-simplify]: Simplify 1/2 into 1/2 3.325 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.325 * [taylor]: Taking taylor expansion of 2.0 in im 3.325 * [backup-simplify]: Simplify 2.0 into 2.0 3.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.326 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.326 * [taylor]: Taking taylor expansion of im in im 3.326 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify 1 into 1 3.326 * [backup-simplify]: Simplify (/ 1 1) into 1 3.327 * [backup-simplify]: Simplify (sqrt 0) into 0 3.327 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.329 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.329 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.332 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.333 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.335 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.335 * [backup-simplify]: Simplify (+ 1 0) into 1 3.336 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.336 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.336 * [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)))) 3.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.338 * [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))))) 3.338 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 3.338 * [taylor]: Taking taylor expansion of 1/8 in im 3.338 * [backup-simplify]: Simplify 1/8 into 1/8 3.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 3.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.338 * [taylor]: Taking taylor expansion of 2.0 in im 3.338 * [backup-simplify]: Simplify 2.0 into 2.0 3.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.338 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.338 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.338 * [taylor]: Taking taylor expansion of im in im 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 1 into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (* 1 1) into 1 3.339 * [backup-simplify]: Simplify (/ 1 1) into 1 3.339 * [backup-simplify]: Simplify (sqrt 0) into 0 3.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.343 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.347 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.347 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.350 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.351 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.354 * [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))))))) 3.354 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 3.354 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 3.354 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 3.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.354 * [taylor]: Taking taylor expansion of 2.0 in im 3.354 * [backup-simplify]: Simplify 2.0 into 2.0 3.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 3.355 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.355 * [taylor]: Taking taylor expansion of re in im 3.355 * [backup-simplify]: Simplify re into re 3.355 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.355 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.355 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.355 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.355 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.355 * [taylor]: Taking taylor expansion of re in im 3.355 * [backup-simplify]: Simplify re into re 3.355 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.355 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.355 * [taylor]: Taking taylor expansion of re in im 3.355 * [backup-simplify]: Simplify re into re 3.355 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.355 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.355 * [taylor]: Taking taylor expansion of im in im 3.355 * [backup-simplify]: Simplify 0 into 0 3.355 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.356 * [taylor]: Taking taylor expansion of im in im 3.356 * [backup-simplify]: Simplify 0 into 0 3.356 * [backup-simplify]: Simplify 1 into 1 3.356 * [backup-simplify]: Simplify (/ 1 1) into 1 3.356 * [backup-simplify]: Simplify (* 1 1) into 1 3.356 * [backup-simplify]: Simplify (+ 0 1) into 1 3.357 * [backup-simplify]: Simplify (sqrt 1) into 1 3.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.358 * [backup-simplify]: Simplify (+ 0 0) into 0 3.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.359 * [backup-simplify]: Simplify (+ 0 1) into 1 3.359 * [backup-simplify]: Simplify (sqrt 0) into 0 3.360 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.360 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 3.360 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.360 * [taylor]: Taking taylor expansion of 2.0 in re 3.360 * [backup-simplify]: Simplify 2.0 into 2.0 3.360 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.361 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.361 * [taylor]: Taking taylor expansion of re in re 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.361 * [backup-simplify]: Simplify (/ 1 1) into 1 3.361 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.361 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.361 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.361 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.361 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.361 * [taylor]: Taking taylor expansion of re in re 3.361 * [backup-simplify]: Simplify 0 into 0 3.361 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (/ 1 1) into 1 3.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.362 * [taylor]: Taking taylor expansion of re in re 3.362 * [backup-simplify]: Simplify 0 into 0 3.362 * [backup-simplify]: Simplify 1 into 1 3.362 * [backup-simplify]: Simplify (/ 1 1) into 1 3.362 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.362 * [taylor]: Taking taylor expansion of im in re 3.362 * [backup-simplify]: Simplify im into im 3.362 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.362 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.362 * [taylor]: Taking taylor expansion of im in re 3.362 * [backup-simplify]: Simplify im into im 3.362 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.362 * [backup-simplify]: Simplify (* 1 1) into 1 3.363 * [backup-simplify]: Simplify (+ 1 0) into 1 3.363 * [backup-simplify]: Simplify (sqrt 1) into 1 3.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.364 * [backup-simplify]: Simplify (+ 0 0) into 0 3.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.365 * [backup-simplify]: Simplify (+ 1 1) into 2 3.365 * [backup-simplify]: Simplify (sqrt 0) into 0 3.366 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 3.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.366 * [taylor]: Taking taylor expansion of 2.0 in re 3.366 * [backup-simplify]: Simplify 2.0 into 2.0 3.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.367 * [taylor]: Taking taylor expansion of re in re 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.367 * [backup-simplify]: Simplify (/ 1 1) into 1 3.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.367 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.367 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.367 * [taylor]: Taking taylor expansion of re in re 3.367 * [backup-simplify]: Simplify 0 into 0 3.367 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.368 * [taylor]: Taking taylor expansion of re in re 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 1 into 1 3.368 * [backup-simplify]: Simplify (/ 1 1) into 1 3.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.368 * [taylor]: Taking taylor expansion of im in re 3.368 * [backup-simplify]: Simplify im into im 3.368 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.368 * [taylor]: Taking taylor expansion of im in re 3.368 * [backup-simplify]: Simplify im into im 3.368 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.368 * [backup-simplify]: Simplify (* 1 1) into 1 3.369 * [backup-simplify]: Simplify (+ 1 0) into 1 3.369 * [backup-simplify]: Simplify (sqrt 1) into 1 3.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.370 * [backup-simplify]: Simplify (+ 0 0) into 0 3.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.371 * [backup-simplify]: Simplify (+ 1 1) into 2 3.371 * [backup-simplify]: Simplify (sqrt 0) into 0 3.372 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.372 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.372 * [taylor]: Taking taylor expansion of 0 in im 3.372 * [backup-simplify]: Simplify 0 into 0 3.374 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.374 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.374 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.374 * [taylor]: Taking taylor expansion of +nan.0 in im 3.374 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.374 * [taylor]: Taking taylor expansion of 2.0 in im 3.374 * [backup-simplify]: Simplify 2.0 into 2.0 3.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.374 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.375 * [backup-simplify]: Simplify (+ 0 0) into 0 3.377 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.378 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.379 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.379 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.379 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.379 * [taylor]: Taking taylor expansion of +nan.0 in im 3.379 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.379 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.379 * [taylor]: Taking taylor expansion of 2.0 in im 3.379 * [backup-simplify]: Simplify 2.0 into 2.0 3.380 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.380 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.382 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.384 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.384 * [backup-simplify]: Simplify 0 into 0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.388 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.388 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.390 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.392 * [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)) 3.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.395 * [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)))))) 3.395 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.395 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.395 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.395 * [taylor]: Taking taylor expansion of +nan.0 in im 3.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.395 * [taylor]: Taking taylor expansion of 2.0 in im 3.395 * [backup-simplify]: Simplify 2.0 into 2.0 3.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.396 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.396 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.396 * [taylor]: Taking taylor expansion of +nan.0 in im 3.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.396 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.397 * [taylor]: Taking taylor expansion of 2.0 in im 3.397 * [backup-simplify]: Simplify 2.0 into 2.0 3.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.398 * [taylor]: Taking taylor expansion of im in im 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 1 into 1 3.398 * [backup-simplify]: Simplify (* 1 1) into 1 3.399 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.402 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.402 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify (+ 0 0) into 0 3.403 * [backup-simplify]: Simplify (- 0) into 0 3.403 * [backup-simplify]: Simplify 0 into 0 3.404 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.405 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.407 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.409 * [backup-simplify]: Simplify (- 0) into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.409 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.414 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.414 * [backup-simplify]: Simplify (+ 0 0) into 0 3.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.417 * [backup-simplify]: Simplify (+ 0 0) into 0 3.419 * [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))) 3.420 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.422 * [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)))))) 3.422 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.422 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.422 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.422 * [taylor]: Taking taylor expansion of +nan.0 in im 3.422 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.422 * [taylor]: Taking taylor expansion of 2.0 in im 3.422 * [backup-simplify]: Simplify 2.0 into 2.0 3.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.424 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.424 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.424 * [taylor]: Taking taylor expansion of +nan.0 in im 3.424 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.424 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.424 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.424 * [taylor]: Taking taylor expansion of 2.0 in im 3.424 * [backup-simplify]: Simplify 2.0 into 2.0 3.424 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.425 * [taylor]: Taking taylor expansion of im in im 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.425 * [backup-simplify]: Simplify (* 1 1) into 1 3.426 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.429 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.429 * [backup-simplify]: Simplify (- 0) into 0 3.429 * [backup-simplify]: Simplify (+ 0 0) into 0 3.430 * [backup-simplify]: Simplify (- 0) into 0 3.430 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.432 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.435 * [backup-simplify]: Simplify (- 0) into 0 3.437 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.439 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.441 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.446 * [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)))))))) 3.446 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 3.446 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 3.446 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 3.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.446 * [taylor]: Taking taylor expansion of 2.0 in im 3.446 * [backup-simplify]: Simplify 2.0 into 2.0 3.447 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.448 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 3.448 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 3.448 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.448 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.448 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.448 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.448 * [taylor]: Taking taylor expansion of -1 in im 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of re in im 3.448 * [backup-simplify]: Simplify re into re 3.448 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.448 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.448 * [taylor]: Taking taylor expansion of -1 in im 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of re in im 3.448 * [backup-simplify]: Simplify re into re 3.448 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.448 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.448 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.448 * [taylor]: Taking taylor expansion of -1 in im 3.448 * [backup-simplify]: Simplify -1 into -1 3.448 * [taylor]: Taking taylor expansion of im in im 3.448 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.449 * [backup-simplify]: Simplify (/ -1 1) into -1 3.449 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.449 * [taylor]: Taking taylor expansion of -1 in im 3.449 * [backup-simplify]: Simplify -1 into -1 3.449 * [taylor]: Taking taylor expansion of im in im 3.449 * [backup-simplify]: Simplify 0 into 0 3.449 * [backup-simplify]: Simplify 1 into 1 3.450 * [backup-simplify]: Simplify (/ -1 1) into -1 3.450 * [backup-simplify]: Simplify (* -1 -1) into 1 3.450 * [backup-simplify]: Simplify (+ 0 1) into 1 3.451 * [backup-simplify]: Simplify (sqrt 1) into 1 3.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.453 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.453 * [backup-simplify]: Simplify (+ 0 0) into 0 3.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.454 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.454 * [taylor]: Taking taylor expansion of re in im 3.454 * [backup-simplify]: Simplify re into re 3.454 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.455 * [backup-simplify]: Simplify (+ 1 0) into 1 3.455 * [backup-simplify]: Simplify (sqrt 0) into 0 3.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.457 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.457 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.457 * [taylor]: Taking taylor expansion of 2.0 in re 3.457 * [backup-simplify]: Simplify 2.0 into 2.0 3.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.458 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.458 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.458 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.458 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.458 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.458 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.458 * [taylor]: Taking taylor expansion of -1 in re 3.458 * [backup-simplify]: Simplify -1 into -1 3.458 * [taylor]: Taking taylor expansion of re in re 3.458 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (/ -1 1) into -1 3.459 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.459 * [taylor]: Taking taylor expansion of -1 in re 3.459 * [backup-simplify]: Simplify -1 into -1 3.459 * [taylor]: Taking taylor expansion of re in re 3.459 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify 1 into 1 3.459 * [backup-simplify]: Simplify (/ -1 1) into -1 3.459 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.460 * [taylor]: Taking taylor expansion of -1 in re 3.460 * [backup-simplify]: Simplify -1 into -1 3.460 * [taylor]: Taking taylor expansion of im in re 3.460 * [backup-simplify]: Simplify im into im 3.460 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.460 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.460 * [taylor]: Taking taylor expansion of -1 in re 3.460 * [backup-simplify]: Simplify -1 into -1 3.460 * [taylor]: Taking taylor expansion of im in re 3.460 * [backup-simplify]: Simplify im into im 3.460 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.460 * [backup-simplify]: Simplify (* -1 -1) into 1 3.461 * [backup-simplify]: Simplify (+ 1 0) into 1 3.461 * [backup-simplify]: Simplify (sqrt 1) into 1 3.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.463 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.464 * [backup-simplify]: Simplify (+ 0 0) into 0 3.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.464 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.465 * [taylor]: Taking taylor expansion of re in re 3.465 * [backup-simplify]: Simplify 0 into 0 3.465 * [backup-simplify]: Simplify 1 into 1 3.465 * [backup-simplify]: Simplify (/ 1 1) into 1 3.465 * [backup-simplify]: Simplify (- 1) into -1 3.466 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (- 0) into 0 3.467 * [backup-simplify]: Simplify (+ 0 0) into 0 3.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.470 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.471 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.472 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.473 * [backup-simplify]: Simplify (- 0) into 0 3.474 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.474 * [backup-simplify]: Simplify (sqrt 0) into 0 3.475 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.475 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 3.475 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.475 * [taylor]: Taking taylor expansion of 2.0 in re 3.475 * [backup-simplify]: Simplify 2.0 into 2.0 3.475 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.476 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 3.476 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 3.476 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.476 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.476 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.476 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.476 * [taylor]: Taking taylor expansion of -1 in re 3.476 * [backup-simplify]: Simplify -1 into -1 3.476 * [taylor]: Taking taylor expansion of re in re 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (/ -1 1) into -1 3.477 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.477 * [taylor]: Taking taylor expansion of -1 in re 3.477 * [backup-simplify]: Simplify -1 into -1 3.477 * [taylor]: Taking taylor expansion of re in re 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [backup-simplify]: Simplify (/ -1 1) into -1 3.477 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.477 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.477 * [taylor]: Taking taylor expansion of -1 in re 3.477 * [backup-simplify]: Simplify -1 into -1 3.477 * [taylor]: Taking taylor expansion of im in re 3.478 * [backup-simplify]: Simplify im into im 3.478 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.478 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.478 * [taylor]: Taking taylor expansion of -1 in re 3.478 * [backup-simplify]: Simplify -1 into -1 3.478 * [taylor]: Taking taylor expansion of im in re 3.478 * [backup-simplify]: Simplify im into im 3.478 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.478 * [backup-simplify]: Simplify (* -1 -1) into 1 3.479 * [backup-simplify]: Simplify (+ 1 0) into 1 3.479 * [backup-simplify]: Simplify (sqrt 1) into 1 3.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.481 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.482 * [backup-simplify]: Simplify (+ 0 0) into 0 3.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.482 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.482 * [taylor]: Taking taylor expansion of re in re 3.482 * [backup-simplify]: Simplify 0 into 0 3.483 * [backup-simplify]: Simplify 1 into 1 3.483 * [backup-simplify]: Simplify (/ 1 1) into 1 3.483 * [backup-simplify]: Simplify (- 1) into -1 3.484 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.485 * [backup-simplify]: Simplify (- 0) into 0 3.485 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.488 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.491 * [backup-simplify]: Simplify (- 0) into 0 3.491 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.491 * [backup-simplify]: Simplify (sqrt 0) into 0 3.492 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 3.493 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.493 * [taylor]: Taking taylor expansion of 0 in im 3.493 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 3.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.494 * [taylor]: Taking taylor expansion of +nan.0 in im 3.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.494 * [taylor]: Taking taylor expansion of 2.0 in im 3.494 * [backup-simplify]: Simplify 2.0 into 2.0 3.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.495 * [taylor]: Taking taylor expansion of im in im 3.495 * [backup-simplify]: Simplify 0 into 0 3.495 * [backup-simplify]: Simplify 1 into 1 3.495 * [backup-simplify]: Simplify (* 1 1) into 1 3.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.499 * [backup-simplify]: Simplify (- 0) into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.502 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.503 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.503 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.503 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.503 * [backup-simplify]: Simplify (+ 0 0) into 0 3.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.505 * [backup-simplify]: Simplify (- 0) into 0 3.506 * [backup-simplify]: Simplify (+ 0 0) into 0 3.507 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 3.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.509 * [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)))) 3.509 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 3.509 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.509 * [taylor]: Taking taylor expansion of +nan.0 in im 3.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.510 * [taylor]: Taking taylor expansion of 2.0 in im 3.510 * [backup-simplify]: Simplify 2.0 into 2.0 3.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.511 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.511 * [taylor]: Taking taylor expansion of im in im 3.511 * [backup-simplify]: Simplify 0 into 0 3.511 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (* 1 1) into 1 3.511 * [backup-simplify]: Simplify (* 1 1) into 1 3.512 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.514 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.524 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.525 * [backup-simplify]: Simplify (- 0) into 0 3.525 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.529 * [backup-simplify]: Simplify (- 0) into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.529 * [backup-simplify]: Simplify 0 into 0 3.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.533 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 3.533 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.533 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 3.534 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 3.534 * [backup-simplify]: Simplify (+ 0 0) into 0 3.536 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.537 * [backup-simplify]: Simplify (- 0) into 0 3.537 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 3.538 * [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))))) 3.540 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.541 * [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)))))) 3.541 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 3.541 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 3.541 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 3.541 * [taylor]: Taking taylor expansion of +nan.0 in im 3.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.541 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 3.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.541 * [taylor]: Taking taylor expansion of 2.0 in im 3.542 * [backup-simplify]: Simplify 2.0 into 2.0 3.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.543 * [taylor]: Taking taylor expansion of (pow im 4) in im 3.543 * [taylor]: Taking taylor expansion of im in im 3.543 * [backup-simplify]: Simplify 0 into 0 3.543 * [backup-simplify]: Simplify 1 into 1 3.543 * [backup-simplify]: Simplify (* 1 1) into 1 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.545 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.545 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 3.545 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 3.545 * [taylor]: Taking taylor expansion of +nan.0 in im 3.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.545 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 3.545 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.545 * [taylor]: Taking taylor expansion of 2.0 in im 3.545 * [backup-simplify]: Simplify 2.0 into 2.0 3.545 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.546 * [taylor]: Taking taylor expansion of (pow im 6) in im 3.546 * [taylor]: Taking taylor expansion of im in im 3.546 * [backup-simplify]: Simplify 0 into 0 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (* 1 1) into 1 3.547 * [backup-simplify]: Simplify (* 1 1) into 1 3.547 * [backup-simplify]: Simplify (* 1 1) into 1 3.548 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 3.565 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.566 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.567 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 3.580 * [backup-simplify]: Simplify (- 0) into 0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.581 * [backup-simplify]: Simplify (- 0) into 0 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 3.581 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 3.581 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 3.581 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.581 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.581 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.581 * [taylor]: Taking taylor expansion of (* re re) in im 3.581 * [taylor]: Taking taylor expansion of re in im 3.581 * [backup-simplify]: Simplify re into re 3.581 * [taylor]: Taking taylor expansion of re in im 3.581 * [backup-simplify]: Simplify re into re 3.581 * [taylor]: Taking taylor expansion of (* im im) in im 3.581 * [taylor]: Taking taylor expansion of im in im 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [taylor]: Taking taylor expansion of im in im 3.581 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify 1 into 1 3.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.582 * [backup-simplify]: Simplify (* 0 0) into 0 3.582 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.582 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.582 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.582 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.582 * [backup-simplify]: Simplify (+ 0 0) into 0 3.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.583 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.583 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.583 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.583 * [taylor]: Taking taylor expansion of (* re re) in re 3.583 * [taylor]: Taking taylor expansion of re in re 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [taylor]: Taking taylor expansion of re in re 3.583 * [backup-simplify]: Simplify 0 into 0 3.583 * [backup-simplify]: Simplify 1 into 1 3.583 * [taylor]: Taking taylor expansion of (* im im) in re 3.583 * [taylor]: Taking taylor expansion of im in re 3.583 * [backup-simplify]: Simplify im into im 3.583 * [taylor]: Taking taylor expansion of im in re 3.583 * [backup-simplify]: Simplify im into im 3.583 * [backup-simplify]: Simplify (* 0 0) into 0 3.583 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.583 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.583 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.584 * [backup-simplify]: Simplify (+ 0 0) into 0 3.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.584 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.584 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.584 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.584 * [taylor]: Taking taylor expansion of (* re re) in re 3.584 * [taylor]: Taking taylor expansion of re in re 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [taylor]: Taking taylor expansion of re in re 3.584 * [backup-simplify]: Simplify 0 into 0 3.584 * [backup-simplify]: Simplify 1 into 1 3.584 * [taylor]: Taking taylor expansion of (* im im) in re 3.584 * [taylor]: Taking taylor expansion of im in re 3.584 * [backup-simplify]: Simplify im into im 3.584 * [taylor]: Taking taylor expansion of im in re 3.584 * [backup-simplify]: Simplify im into im 3.585 * [backup-simplify]: Simplify (* 0 0) into 0 3.585 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.585 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.585 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.586 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.586 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.586 * [backup-simplify]: Simplify (+ 0 0) into 0 3.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.586 * [taylor]: Taking taylor expansion of im in im 3.586 * [backup-simplify]: Simplify 0 into 0 3.586 * [backup-simplify]: Simplify 1 into 1 3.586 * [backup-simplify]: Simplify 0 into 0 3.587 * [taylor]: Taking taylor expansion of 0 in im 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 0 into 0 3.587 * [backup-simplify]: Simplify 1 into 1 3.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.588 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.588 * [backup-simplify]: Simplify (+ 1 0) into 1 3.589 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.589 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.589 * [taylor]: Taking taylor expansion of 1/2 in im 3.589 * [backup-simplify]: Simplify 1/2 into 1/2 3.589 * [taylor]: Taking taylor expansion of im in im 3.589 * [backup-simplify]: Simplify 0 into 0 3.589 * [backup-simplify]: Simplify 1 into 1 3.590 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 0 into 0 3.592 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 3.592 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.593 * [backup-simplify]: Simplify (+ 0 0) into 0 3.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.593 * [taylor]: Taking taylor expansion of 0 in im 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify 0 into 0 3.594 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.594 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 3.594 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 3.594 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.595 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.595 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.595 * [taylor]: Taking taylor expansion of re in im 3.595 * [backup-simplify]: Simplify re into re 3.595 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.595 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.595 * [taylor]: Taking taylor expansion of re in im 3.595 * [backup-simplify]: Simplify re into re 3.595 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.595 * [taylor]: Taking taylor expansion of im in im 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.595 * [backup-simplify]: Simplify (/ 1 1) into 1 3.595 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.595 * [taylor]: Taking taylor expansion of im in im 3.595 * [backup-simplify]: Simplify 0 into 0 3.595 * [backup-simplify]: Simplify 1 into 1 3.596 * [backup-simplify]: Simplify (/ 1 1) into 1 3.596 * [backup-simplify]: Simplify (* 1 1) into 1 3.597 * [backup-simplify]: Simplify (+ 0 1) into 1 3.597 * [backup-simplify]: Simplify (sqrt 1) into 1 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.599 * [backup-simplify]: Simplify (+ 0 0) into 0 3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.600 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.600 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.600 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.600 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.600 * [taylor]: Taking taylor expansion of re in re 3.600 * [backup-simplify]: Simplify 0 into 0 3.600 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.601 * [taylor]: Taking taylor expansion of re in re 3.601 * [backup-simplify]: Simplify 0 into 0 3.601 * [backup-simplify]: Simplify 1 into 1 3.601 * [backup-simplify]: Simplify (/ 1 1) into 1 3.601 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.601 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.601 * [taylor]: Taking taylor expansion of im in re 3.601 * [backup-simplify]: Simplify im into im 3.601 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.601 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.601 * [taylor]: Taking taylor expansion of im in re 3.601 * [backup-simplify]: Simplify im into im 3.602 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.602 * [backup-simplify]: Simplify (* 1 1) into 1 3.602 * [backup-simplify]: Simplify (+ 1 0) into 1 3.603 * [backup-simplify]: Simplify (sqrt 1) into 1 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.605 * [backup-simplify]: Simplify (+ 0 0) into 0 3.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.606 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.606 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.606 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.606 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.606 * [taylor]: Taking taylor expansion of re in re 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.607 * [taylor]: Taking taylor expansion of re in re 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 1 into 1 3.607 * [backup-simplify]: Simplify (/ 1 1) into 1 3.607 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.607 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.607 * [taylor]: Taking taylor expansion of im in re 3.608 * [backup-simplify]: Simplify im into im 3.608 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.608 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.608 * [taylor]: Taking taylor expansion of im in re 3.608 * [backup-simplify]: Simplify im into im 3.608 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.608 * [backup-simplify]: Simplify (* 1 1) into 1 3.609 * [backup-simplify]: Simplify (+ 1 0) into 1 3.609 * [backup-simplify]: Simplify (sqrt 1) into 1 3.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.612 * [backup-simplify]: Simplify (+ 0 0) into 0 3.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.613 * [taylor]: Taking taylor expansion of 1 in im 3.613 * [backup-simplify]: Simplify 1 into 1 3.613 * [taylor]: Taking taylor expansion of 0 in im 3.613 * [backup-simplify]: Simplify 0 into 0 3.613 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.616 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.616 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.617 * [taylor]: Taking taylor expansion of 1/2 in im 3.617 * [backup-simplify]: Simplify 1/2 into 1/2 3.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.617 * [taylor]: Taking taylor expansion of im in im 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 1 into 1 3.618 * [backup-simplify]: Simplify (* 1 1) into 1 3.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.620 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 3.624 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.625 * [taylor]: Taking taylor expansion of 0 in im 3.625 * [backup-simplify]: Simplify 0 into 0 3.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify 0 into 0 3.627 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.627 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 3.627 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 3.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 3.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.628 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 3.628 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 3.628 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.628 * [taylor]: Taking taylor expansion of -1 in im 3.628 * [backup-simplify]: Simplify -1 into -1 3.628 * [taylor]: Taking taylor expansion of re in im 3.628 * [backup-simplify]: Simplify re into re 3.628 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.628 * [taylor]: Taking taylor expansion of (/ -1 re) in im 3.628 * [taylor]: Taking taylor expansion of -1 in im 3.628 * [backup-simplify]: Simplify -1 into -1 3.628 * [taylor]: Taking taylor expansion of re in im 3.628 * [backup-simplify]: Simplify re into re 3.628 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 3.628 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 3.628 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.628 * [taylor]: Taking taylor expansion of -1 in im 3.628 * [backup-simplify]: Simplify -1 into -1 3.628 * [taylor]: Taking taylor expansion of im in im 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (/ -1 1) into -1 3.629 * [taylor]: Taking taylor expansion of (/ -1 im) in im 3.629 * [taylor]: Taking taylor expansion of -1 in im 3.629 * [backup-simplify]: Simplify -1 into -1 3.629 * [taylor]: Taking taylor expansion of im in im 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify 1 into 1 3.629 * [backup-simplify]: Simplify (/ -1 1) into -1 3.630 * [backup-simplify]: Simplify (* -1 -1) into 1 3.630 * [backup-simplify]: Simplify (+ 0 1) into 1 3.630 * [backup-simplify]: Simplify (sqrt 1) into 1 3.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.634 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.634 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.634 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.634 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.634 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.634 * [taylor]: Taking taylor expansion of -1 in re 3.634 * [backup-simplify]: Simplify -1 into -1 3.634 * [taylor]: Taking taylor expansion of re in re 3.634 * [backup-simplify]: Simplify 0 into 0 3.634 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (/ -1 1) into -1 3.635 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.635 * [taylor]: Taking taylor expansion of -1 in re 3.635 * [backup-simplify]: Simplify -1 into -1 3.635 * [taylor]: Taking taylor expansion of re in re 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (/ -1 1) into -1 3.635 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.635 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.636 * [taylor]: Taking taylor expansion of -1 in re 3.636 * [backup-simplify]: Simplify -1 into -1 3.636 * [taylor]: Taking taylor expansion of im in re 3.636 * [backup-simplify]: Simplify im into im 3.636 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.636 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.636 * [taylor]: Taking taylor expansion of -1 in re 3.636 * [backup-simplify]: Simplify -1 into -1 3.636 * [taylor]: Taking taylor expansion of im in re 3.636 * [backup-simplify]: Simplify im into im 3.636 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.637 * [backup-simplify]: Simplify (* -1 -1) into 1 3.637 * [backup-simplify]: Simplify (+ 1 0) into 1 3.638 * [backup-simplify]: Simplify (sqrt 1) into 1 3.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.641 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.642 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 3.642 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 3.642 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 3.642 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 3.642 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.642 * [taylor]: Taking taylor expansion of -1 in re 3.642 * [backup-simplify]: Simplify -1 into -1 3.642 * [taylor]: Taking taylor expansion of re in re 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ -1 1) into -1 3.643 * [taylor]: Taking taylor expansion of (/ -1 re) in re 3.643 * [taylor]: Taking taylor expansion of -1 in re 3.643 * [backup-simplify]: Simplify -1 into -1 3.643 * [taylor]: Taking taylor expansion of re in re 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ -1 1) into -1 3.643 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 3.643 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.643 * [taylor]: Taking taylor expansion of -1 in re 3.643 * [backup-simplify]: Simplify -1 into -1 3.643 * [taylor]: Taking taylor expansion of im in re 3.644 * [backup-simplify]: Simplify im into im 3.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.644 * [taylor]: Taking taylor expansion of (/ -1 im) in re 3.644 * [taylor]: Taking taylor expansion of -1 in re 3.644 * [backup-simplify]: Simplify -1 into -1 3.644 * [taylor]: Taking taylor expansion of im in re 3.644 * [backup-simplify]: Simplify im into im 3.644 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 3.644 * [backup-simplify]: Simplify (* -1 -1) into 1 3.645 * [backup-simplify]: Simplify (+ 1 0) into 1 3.645 * [backup-simplify]: Simplify (sqrt 1) into 1 3.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 3.648 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.648 * [taylor]: Taking taylor expansion of 1 in im 3.648 * [backup-simplify]: Simplify 1 into 1 3.648 * [taylor]: Taking taylor expansion of 0 in im 3.648 * [backup-simplify]: Simplify 0 into 0 3.649 * [backup-simplify]: Simplify 1 into 1 3.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 3.652 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 3.652 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.653 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.653 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.653 * [taylor]: Taking taylor expansion of 1/2 in im 3.653 * [backup-simplify]: Simplify 1/2 into 1/2 3.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.653 * [taylor]: Taking taylor expansion of im in im 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (* 1 1) into 1 3.654 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.656 * [backup-simplify]: Simplify 0 into 0 3.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 3.659 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.659 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 3.659 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 3.659 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.660 * [taylor]: Taking taylor expansion of 0 in im 3.660 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify 0 into 0 3.662 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.662 * * * [progress]: simplifying candidates 3.664 * [simplify]: Simplifying: (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (log1p (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (log (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (exp (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (* (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (* (* (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt 2.0) (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0)) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))) (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (* 2 re) 0 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 im re (* -1 re) 3.667 * * [simplify]: iteration 0: 129 enodes 3.704 * * [simplify]: iteration 1: 291 enodes 3.827 * * [simplify]: iteration 2: 1169 enodes 4.470 * * [simplify]: iteration complete: 5000 enodes 4.470 * * [simplify]: Extracting #0: cost 53 inf + 0 4.473 * * [simplify]: Extracting #1: cost 632 inf + 48 4.480 * * [simplify]: Extracting #2: cost 1473 inf + 19491 4.506 * * [simplify]: Extracting #3: cost 795 inf + 138727 4.593 * * [simplify]: Extracting #4: cost 110 inf + 261028 4.679 * * [simplify]: Extracting #5: cost 3 inf + 285070 4.736 * * [simplify]: Extracting #6: cost 0 inf + 285885 4.817 * [simplify]: Simplified to: (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im)))) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (* (+ (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (expm1 (sqrt (* (+ (hypot re im) re) 2.0))) (log1p (sqrt (* (+ (hypot re im) re) 2.0))) (log (sqrt (* (+ (hypot re im) re) 2.0))) (exp (sqrt (* (+ (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (* (sqrt (* (+ (hypot re im) re) 2.0)) (* (+ (hypot re im) re) 2.0)) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* 2.0 (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))) (sqrt (* (* (+ (hypot re im) re) (- (hypot re im) re)) 2.0)) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ im re) (* re 2) 0 im re (- re) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (* +nan.0 (+ (+ (/ (- (sqrt 2.0)) (* re re)) (/ (sqrt 2.0) re)) (- (sqrt 2.0)))) 0 im re (- re) 4.829 * * * [progress]: adding candidates to table 5.381 * * [progress]: iteration 3 / 4 5.381 * * * [progress]: picking best candidate 5.442 * * * * [pick]: Picked # 5.442 * * * [progress]: localizing error 5.516 * * * [progress]: generating rewritten candidates 5.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 5.535 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 5.552 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1) 5.572 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) 5.597 * * * [progress]: generating series expansions 5.597 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 5.598 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 5.598 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 5.598 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 5.598 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.598 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.598 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.598 * [taylor]: Taking taylor expansion of (* re re) in im 5.598 * [taylor]: Taking taylor expansion of re in im 5.598 * [backup-simplify]: Simplify re into re 5.598 * [taylor]: Taking taylor expansion of re in im 5.598 * [backup-simplify]: Simplify re into re 5.598 * [taylor]: Taking taylor expansion of (* im im) in im 5.598 * [taylor]: Taking taylor expansion of im in im 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [taylor]: Taking taylor expansion of im in im 5.598 * [backup-simplify]: Simplify 0 into 0 5.598 * [backup-simplify]: Simplify 1 into 1 5.598 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.599 * [backup-simplify]: Simplify (* 0 0) into 0 5.599 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.599 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.599 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.600 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.601 * [taylor]: Taking taylor expansion of re in im 5.601 * [backup-simplify]: Simplify re into re 5.601 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.601 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.601 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.601 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.601 * [taylor]: Taking taylor expansion of (* re re) in re 5.601 * [taylor]: Taking taylor expansion of re in re 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [taylor]: Taking taylor expansion of re in re 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [taylor]: Taking taylor expansion of (* im im) in re 5.601 * [taylor]: Taking taylor expansion of im in re 5.601 * [backup-simplify]: Simplify im into im 5.601 * [taylor]: Taking taylor expansion of im in re 5.601 * [backup-simplify]: Simplify im into im 5.601 * [backup-simplify]: Simplify (* 0 0) into 0 5.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.602 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.602 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.602 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.603 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.603 * [taylor]: Taking taylor expansion of re in re 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.603 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.603 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.603 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.603 * [taylor]: Taking taylor expansion of (* re re) in re 5.603 * [taylor]: Taking taylor expansion of re in re 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.604 * [taylor]: Taking taylor expansion of re in re 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.604 * [taylor]: Taking taylor expansion of (* im im) in re 5.604 * [taylor]: Taking taylor expansion of im in re 5.604 * [backup-simplify]: Simplify im into im 5.604 * [taylor]: Taking taylor expansion of im in re 5.604 * [backup-simplify]: Simplify im into im 5.604 * [backup-simplify]: Simplify (* 0 0) into 0 5.604 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.604 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.604 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.605 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.605 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.606 * [backup-simplify]: Simplify (+ 0 0) into 0 5.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.606 * [taylor]: Taking taylor expansion of re in re 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (+ im 0) into im 5.606 * [taylor]: Taking taylor expansion of im in im 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify (+ 0 1) into 1 5.606 * [taylor]: Taking taylor expansion of 1 in im 5.606 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify 1 into 1 5.607 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.608 * [backup-simplify]: Simplify (+ 1 0) into 1 5.609 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.609 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.609 * [taylor]: Taking taylor expansion of 1/2 in im 5.609 * [backup-simplify]: Simplify 1/2 into 1/2 5.609 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.609 * [taylor]: Taking taylor expansion of im in im 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.610 * [backup-simplify]: Simplify (/ 1 1) into 1 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.611 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.613 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.614 * [backup-simplify]: Simplify (+ 0 0) into 0 5.614 * [taylor]: Taking taylor expansion of 0 in im 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.617 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 5.617 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 5.617 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 5.617 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.617 * [taylor]: Taking taylor expansion of re in im 5.617 * [backup-simplify]: Simplify re into re 5.617 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.617 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.617 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.617 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.617 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.617 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.617 * [taylor]: Taking taylor expansion of re in im 5.617 * [backup-simplify]: Simplify re into re 5.617 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.617 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.617 * [taylor]: Taking taylor expansion of re in im 5.617 * [backup-simplify]: Simplify re into re 5.617 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.617 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.617 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.617 * [taylor]: Taking taylor expansion of im in im 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1 1) into 1 5.618 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.618 * [taylor]: Taking taylor expansion of im in im 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [backup-simplify]: Simplify (* 1 1) into 1 5.619 * [backup-simplify]: Simplify (+ 0 1) into 1 5.620 * [backup-simplify]: Simplify (sqrt 1) into 1 5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.622 * [backup-simplify]: Simplify (+ 0 0) into 0 5.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.623 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.623 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.623 * [taylor]: Taking taylor expansion of re in re 5.623 * [backup-simplify]: Simplify 0 into 0 5.623 * [backup-simplify]: Simplify 1 into 1 5.623 * [backup-simplify]: Simplify (/ 1 1) into 1 5.623 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.623 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.623 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.624 * [taylor]: Taking taylor expansion of re in re 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.624 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.624 * [taylor]: Taking taylor expansion of re in re 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.624 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.624 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.625 * [taylor]: Taking taylor expansion of im in re 5.625 * [backup-simplify]: Simplify im into im 5.625 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.625 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.625 * [taylor]: Taking taylor expansion of im in re 5.625 * [backup-simplify]: Simplify im into im 5.625 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.625 * [backup-simplify]: Simplify (* 1 1) into 1 5.626 * [backup-simplify]: Simplify (+ 1 0) into 1 5.626 * [backup-simplify]: Simplify (sqrt 1) into 1 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.628 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.629 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.629 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1 5.629 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.629 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.629 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.629 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.629 * [taylor]: Taking taylor expansion of (/ 1 re) 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 5.630 * [backup-simplify]: Simplify (/ 1 1) into 1 5.630 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.630 * [taylor]: Taking taylor expansion of re in re 5.630 * [backup-simplify]: Simplify 0 into 0 5.630 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (/ 1 1) into 1 5.630 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.630 * [taylor]: Taking taylor expansion of im in re 5.630 * [backup-simplify]: Simplify im into im 5.630 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.630 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.630 * [taylor]: Taking taylor expansion of im in re 5.630 * [backup-simplify]: Simplify im into im 5.630 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.630 * [backup-simplify]: Simplify (* 1 1) into 1 5.631 * [backup-simplify]: Simplify (+ 1 0) into 1 5.631 * [backup-simplify]: Simplify (sqrt 1) into 1 5.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.633 * [backup-simplify]: Simplify (+ 0 0) into 0 5.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.633 * [backup-simplify]: Simplify (+ 1 1) into 2 5.633 * [taylor]: Taking taylor expansion of 2 in im 5.633 * [backup-simplify]: Simplify 2 into 2 5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [taylor]: Taking taylor expansion of 0 in im 5.634 * [backup-simplify]: Simplify 0 into 0 5.634 * [backup-simplify]: Simplify 2 into 2 5.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.636 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.636 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.637 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.637 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.637 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.637 * [taylor]: Taking taylor expansion of 1/2 in im 5.637 * [backup-simplify]: Simplify 1/2 into 1/2 5.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.637 * [taylor]: Taking taylor expansion of im in im 5.637 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify 1 into 1 5.638 * [backup-simplify]: Simplify (* 1 1) into 1 5.640 * [backup-simplify]: Simplify (/ 1 1) into 1 5.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.641 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.644 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.644 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.645 * [backup-simplify]: Simplify (+ 0 0) into 0 5.645 * [taylor]: Taking taylor expansion of 0 in im 5.645 * [backup-simplify]: Simplify 0 into 0 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.647 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 5.647 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 5.647 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.647 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.647 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.647 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.647 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.647 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.647 * [taylor]: Taking taylor expansion of -1 in im 5.647 * [backup-simplify]: Simplify -1 into -1 5.647 * [taylor]: Taking taylor expansion of re in im 5.647 * [backup-simplify]: Simplify re into re 5.647 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.647 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.647 * [taylor]: Taking taylor expansion of -1 in im 5.647 * [backup-simplify]: Simplify -1 into -1 5.647 * [taylor]: Taking taylor expansion of re in im 5.647 * [backup-simplify]: Simplify re into re 5.647 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.647 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.647 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.647 * [taylor]: Taking taylor expansion of -1 in im 5.647 * [backup-simplify]: Simplify -1 into -1 5.647 * [taylor]: Taking taylor expansion of im in im 5.647 * [backup-simplify]: Simplify 0 into 0 5.647 * [backup-simplify]: Simplify 1 into 1 5.648 * [backup-simplify]: Simplify (/ -1 1) into -1 5.648 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.648 * [taylor]: Taking taylor expansion of -1 in im 5.648 * [backup-simplify]: Simplify -1 into -1 5.648 * [taylor]: Taking taylor expansion of im in im 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 5.648 * [backup-simplify]: Simplify (* -1 -1) into 1 5.649 * [backup-simplify]: Simplify (+ 0 1) into 1 5.649 * [backup-simplify]: Simplify (sqrt 1) into 1 5.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.650 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.650 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.651 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.651 * [taylor]: Taking taylor expansion of re in im 5.651 * [backup-simplify]: Simplify re into re 5.651 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.651 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.651 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.651 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.651 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.651 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.651 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.651 * [taylor]: Taking taylor expansion of -1 in re 5.651 * [backup-simplify]: Simplify -1 into -1 5.651 * [taylor]: Taking taylor expansion of re in re 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (/ -1 1) into -1 5.651 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.651 * [taylor]: Taking taylor expansion of -1 in re 5.652 * [backup-simplify]: Simplify -1 into -1 5.652 * [taylor]: Taking taylor expansion of re in re 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (/ -1 1) into -1 5.652 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.652 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.652 * [taylor]: Taking taylor expansion of -1 in re 5.652 * [backup-simplify]: Simplify -1 into -1 5.652 * [taylor]: Taking taylor expansion of im in re 5.652 * [backup-simplify]: Simplify im into im 5.652 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.652 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.652 * [taylor]: Taking taylor expansion of -1 in re 5.652 * [backup-simplify]: Simplify -1 into -1 5.652 * [taylor]: Taking taylor expansion of im in re 5.652 * [backup-simplify]: Simplify im into im 5.652 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.652 * [backup-simplify]: Simplify (* -1 -1) into 1 5.653 * [backup-simplify]: Simplify (+ 1 0) into 1 5.653 * [backup-simplify]: Simplify (sqrt 1) into 1 5.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.654 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.654 * [backup-simplify]: Simplify (+ 0 0) into 0 5.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.655 * [taylor]: Taking taylor expansion of re in re 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.655 * [backup-simplify]: Simplify (/ 1 1) into 1 5.655 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.655 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.655 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.655 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.655 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.655 * [taylor]: Taking taylor expansion of -1 in re 5.655 * [backup-simplify]: Simplify -1 into -1 5.655 * [taylor]: Taking taylor expansion of re in re 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (/ -1 1) into -1 5.656 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.656 * [taylor]: Taking taylor expansion of -1 in re 5.656 * [backup-simplify]: Simplify -1 into -1 5.656 * [taylor]: Taking taylor expansion of re in re 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify 1 into 1 5.656 * [backup-simplify]: Simplify (/ -1 1) into -1 5.656 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.656 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.656 * [taylor]: Taking taylor expansion of -1 in re 5.656 * [backup-simplify]: Simplify -1 into -1 5.656 * [taylor]: Taking taylor expansion of im in re 5.656 * [backup-simplify]: Simplify im into im 5.656 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.656 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.656 * [taylor]: Taking taylor expansion of -1 in re 5.656 * [backup-simplify]: Simplify -1 into -1 5.656 * [taylor]: Taking taylor expansion of im in re 5.656 * [backup-simplify]: Simplify im into im 5.656 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.657 * [backup-simplify]: Simplify (* -1 -1) into 1 5.657 * [backup-simplify]: Simplify (+ 1 0) into 1 5.657 * [backup-simplify]: Simplify (sqrt 1) into 1 5.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.660 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.660 * [backup-simplify]: Simplify (+ 0 0) into 0 5.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.661 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.661 * [taylor]: Taking taylor expansion of re in re 5.661 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify 1 into 1 5.661 * [backup-simplify]: Simplify (/ 1 1) into 1 5.662 * [backup-simplify]: Simplify (- 1) into -1 5.662 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.663 * [taylor]: Taking taylor expansion of 0 in im 5.663 * [backup-simplify]: Simplify 0 into 0 5.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [taylor]: Taking taylor expansion of 0 in im 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.667 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.667 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.668 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.670 * [backup-simplify]: Simplify (- 0) into 0 5.670 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.671 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.671 * [taylor]: Taking taylor expansion of 1/2 in im 5.671 * [backup-simplify]: Simplify 1/2 into 1/2 5.671 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.671 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.671 * [taylor]: Taking taylor expansion of im in im 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (* 1 1) into 1 5.671 * [backup-simplify]: Simplify (/ 1 1) into 1 5.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.675 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.675 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.675 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.675 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.675 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (- 0) into 0 5.677 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [taylor]: Taking taylor expansion of 0 in im 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 5.679 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 5.679 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 5.679 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 5.679 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.679 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.679 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.679 * [taylor]: Taking taylor expansion of (* re re) in im 5.679 * [taylor]: Taking taylor expansion of re in im 5.679 * [backup-simplify]: Simplify re into re 5.679 * [taylor]: Taking taylor expansion of re in im 5.679 * [backup-simplify]: Simplify re into re 5.679 * [taylor]: Taking taylor expansion of (* im im) in im 5.679 * [taylor]: Taking taylor expansion of im in im 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 1 into 1 5.679 * [taylor]: Taking taylor expansion of im in im 5.679 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify 1 into 1 5.679 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.679 * [backup-simplify]: Simplify (* 0 0) into 0 5.680 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.680 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.680 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.680 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.680 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.680 * [taylor]: Taking taylor expansion of re in im 5.680 * [backup-simplify]: Simplify re into re 5.680 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.680 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.681 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.681 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.681 * [taylor]: Taking taylor expansion of (* re re) in re 5.681 * [taylor]: Taking taylor expansion of re in re 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.681 * [taylor]: Taking taylor expansion of re in re 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 1 into 1 5.681 * [taylor]: Taking taylor expansion of (* im im) in re 5.681 * [taylor]: Taking taylor expansion of im in re 5.681 * [backup-simplify]: Simplify im into im 5.681 * [taylor]: Taking taylor expansion of im in re 5.681 * [backup-simplify]: Simplify im into im 5.681 * [backup-simplify]: Simplify (* 0 0) into 0 5.681 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.681 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.681 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.682 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.682 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.682 * [backup-simplify]: Simplify (+ 0 0) into 0 5.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.682 * [taylor]: Taking taylor expansion of re in re 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.682 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.682 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.682 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.682 * [taylor]: Taking taylor expansion of (* re re) in re 5.682 * [taylor]: Taking taylor expansion of re in re 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [taylor]: Taking taylor expansion of re in re 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 1 into 1 5.682 * [taylor]: Taking taylor expansion of (* im im) in re 5.682 * [taylor]: Taking taylor expansion of im in re 5.683 * [backup-simplify]: Simplify im into im 5.683 * [taylor]: Taking taylor expansion of im in re 5.683 * [backup-simplify]: Simplify im into im 5.683 * [backup-simplify]: Simplify (* 0 0) into 0 5.683 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.683 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.683 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.683 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.683 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.684 * [backup-simplify]: Simplify (+ 0 0) into 0 5.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.684 * [taylor]: Taking taylor expansion of re in re 5.684 * [backup-simplify]: Simplify 0 into 0 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify (+ im 0) into 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 0 into 0 5.684 * [backup-simplify]: Simplify (+ 0 1) into 1 5.684 * [taylor]: Taking taylor expansion of 1 in im 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify 1 into 1 5.684 * [backup-simplify]: Simplify 1 into 1 5.685 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.685 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.685 * [backup-simplify]: Simplify (+ 1 0) into 1 5.686 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.686 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.686 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 5.686 * [taylor]: Taking taylor expansion of 1/2 in im 5.686 * [backup-simplify]: Simplify 1/2 into 1/2 5.686 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.686 * [taylor]: Taking taylor expansion of im in im 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 1 into 1 5.686 * [backup-simplify]: Simplify (/ 1 1) into 1 5.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.688 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.689 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [taylor]: Taking taylor expansion of 0 in im 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify 0 into 0 5.690 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 5.690 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 5.690 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 5.690 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 5.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.690 * [taylor]: Taking taylor expansion of re in im 5.690 * [backup-simplify]: Simplify re into re 5.690 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.690 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.691 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.691 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.691 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.691 * [taylor]: Taking taylor expansion of re in im 5.691 * [backup-simplify]: Simplify re into re 5.691 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.691 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.691 * [taylor]: Taking taylor expansion of re in im 5.691 * [backup-simplify]: Simplify re into re 5.691 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.691 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.691 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.691 * [taylor]: Taking taylor expansion of im in im 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (/ 1 1) into 1 5.691 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.691 * [taylor]: Taking taylor expansion of im in im 5.691 * [backup-simplify]: Simplify 0 into 0 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (/ 1 1) into 1 5.692 * [backup-simplify]: Simplify (* 1 1) into 1 5.692 * [backup-simplify]: Simplify (+ 0 1) into 1 5.692 * [backup-simplify]: Simplify (sqrt 1) into 1 5.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.694 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.694 * [taylor]: Taking taylor expansion of re in re 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (/ 1 1) into 1 5.694 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.694 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.694 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.694 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.694 * [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 (/ 1 1) into 1 5.695 * [taylor]: Taking taylor expansion of (/ 1 re) 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 (/ 1 1) into 1 5.695 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.695 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.695 * [taylor]: Taking taylor expansion of im in re 5.695 * [backup-simplify]: Simplify im into im 5.695 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.695 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.695 * [taylor]: Taking taylor expansion of im in re 5.695 * [backup-simplify]: Simplify im into im 5.695 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.695 * [backup-simplify]: Simplify (* 1 1) into 1 5.696 * [backup-simplify]: Simplify (+ 1 0) into 1 5.696 * [backup-simplify]: Simplify (sqrt 1) into 1 5.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.697 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.698 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.698 * [taylor]: Taking taylor expansion of re in re 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 1 into 1 5.698 * [backup-simplify]: Simplify (/ 1 1) into 1 5.698 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.698 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.698 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.698 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.698 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.698 * [taylor]: Taking taylor expansion of re in re 5.698 * [backup-simplify]: Simplify 0 into 0 5.698 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.699 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.699 * [taylor]: Taking taylor expansion of re in re 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.699 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.699 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.699 * [taylor]: Taking taylor expansion of im in re 5.699 * [backup-simplify]: Simplify im into im 5.699 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.699 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.699 * [taylor]: Taking taylor expansion of im in re 5.699 * [backup-simplify]: Simplify im into im 5.699 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.699 * [backup-simplify]: Simplify (* 1 1) into 1 5.700 * [backup-simplify]: Simplify (+ 1 0) into 1 5.700 * [backup-simplify]: Simplify (sqrt 1) into 1 5.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.703 * [backup-simplify]: Simplify (+ 1 1) into 2 5.703 * [taylor]: Taking taylor expansion of 2 in im 5.703 * [backup-simplify]: Simplify 2 into 2 5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.704 * [backup-simplify]: Simplify (+ 0 0) into 0 5.704 * [taylor]: Taking taylor expansion of 0 in im 5.704 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify 2 into 2 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.708 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.708 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.710 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.710 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.710 * [taylor]: Taking taylor expansion of 1/2 in im 5.710 * [backup-simplify]: Simplify 1/2 into 1/2 5.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.710 * [taylor]: Taking taylor expansion of im in im 5.710 * [backup-simplify]: Simplify 0 into 0 5.710 * [backup-simplify]: Simplify 1 into 1 5.711 * [backup-simplify]: Simplify (* 1 1) into 1 5.711 * [backup-simplify]: Simplify (/ 1 1) into 1 5.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.717 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.718 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.718 * [backup-simplify]: Simplify (+ 0 0) into 0 5.718 * [taylor]: Taking taylor expansion of 0 in im 5.718 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.720 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.720 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 5.720 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 5.720 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.720 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.720 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.720 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.720 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.720 * [taylor]: Taking taylor expansion of -1 in im 5.720 * [backup-simplify]: Simplify -1 into -1 5.720 * [taylor]: Taking taylor expansion of re in im 5.720 * [backup-simplify]: Simplify re into re 5.720 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.720 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.720 * [taylor]: Taking taylor expansion of -1 in im 5.720 * [backup-simplify]: Simplify -1 into -1 5.720 * [taylor]: Taking taylor expansion of re in im 5.720 * [backup-simplify]: Simplify re into re 5.720 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.720 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.720 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.720 * [taylor]: Taking taylor expansion of -1 in im 5.720 * [backup-simplify]: Simplify -1 into -1 5.720 * [taylor]: Taking taylor expansion of im in im 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 1 into 1 5.721 * [backup-simplify]: Simplify (/ -1 1) into -1 5.721 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.721 * [taylor]: Taking taylor expansion of -1 in im 5.721 * [backup-simplify]: Simplify -1 into -1 5.721 * [taylor]: Taking taylor expansion of im in im 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify 1 into 1 5.721 * [backup-simplify]: Simplify (/ -1 1) into -1 5.721 * [backup-simplify]: Simplify (* -1 -1) into 1 5.722 * [backup-simplify]: Simplify (+ 0 1) into 1 5.722 * [backup-simplify]: Simplify (sqrt 1) into 1 5.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 re) in im 5.724 * [taylor]: Taking taylor expansion of re in im 5.724 * [backup-simplify]: Simplify re into re 5.724 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.724 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.724 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.724 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.724 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.724 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.724 * [taylor]: Taking taylor expansion of -1 in re 5.724 * [backup-simplify]: Simplify -1 into -1 5.724 * [taylor]: Taking taylor expansion of re in re 5.724 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (/ -1 1) into -1 5.725 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.725 * [taylor]: Taking taylor expansion of -1 in re 5.725 * [backup-simplify]: Simplify -1 into -1 5.725 * [taylor]: Taking taylor expansion of re in re 5.725 * [backup-simplify]: Simplify 0 into 0 5.725 * [backup-simplify]: Simplify 1 into 1 5.725 * [backup-simplify]: Simplify (/ -1 1) into -1 5.725 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.725 * [taylor]: Taking taylor expansion of -1 in re 5.725 * [backup-simplify]: Simplify -1 into -1 5.725 * [taylor]: Taking taylor expansion of im in re 5.725 * [backup-simplify]: Simplify im into im 5.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.725 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.725 * [taylor]: Taking taylor expansion of -1 in re 5.725 * [backup-simplify]: Simplify -1 into -1 5.725 * [taylor]: Taking taylor expansion of im in re 5.725 * [backup-simplify]: Simplify im into im 5.725 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.725 * [backup-simplify]: Simplify (* -1 -1) into 1 5.726 * [backup-simplify]: Simplify (+ 1 0) into 1 5.726 * [backup-simplify]: Simplify (sqrt 1) into 1 5.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.727 * [backup-simplify]: Simplify (+ 0 0) into 0 5.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.728 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.728 * [taylor]: Taking taylor expansion of re in re 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 5.728 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.728 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.728 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.728 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.728 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.728 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.728 * [taylor]: Taking taylor expansion of -1 in re 5.728 * [backup-simplify]: Simplify -1 into -1 5.728 * [taylor]: Taking taylor expansion of re in re 5.728 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ -1 1) into -1 5.729 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.729 * [taylor]: Taking taylor expansion of -1 in re 5.729 * [backup-simplify]: Simplify -1 into -1 5.729 * [taylor]: Taking taylor expansion of re in re 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 1 into 1 5.729 * [backup-simplify]: Simplify (/ -1 1) into -1 5.729 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.729 * [taylor]: Taking taylor expansion of -1 in re 5.729 * [backup-simplify]: Simplify -1 into -1 5.729 * [taylor]: Taking taylor expansion of im in re 5.729 * [backup-simplify]: Simplify im into im 5.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.729 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.729 * [taylor]: Taking taylor expansion of -1 in re 5.729 * [backup-simplify]: Simplify -1 into -1 5.729 * [taylor]: Taking taylor expansion of im in re 5.729 * [backup-simplify]: Simplify im into im 5.729 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.730 * [backup-simplify]: Simplify (* -1 -1) into 1 5.730 * [backup-simplify]: Simplify (+ 1 0) into 1 5.730 * [backup-simplify]: Simplify (sqrt 1) into 1 5.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.732 * [backup-simplify]: Simplify (+ 0 0) into 0 5.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.732 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.732 * [taylor]: Taking taylor expansion of re in re 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (/ 1 1) into 1 5.733 * [backup-simplify]: Simplify (- 1) into -1 5.733 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.733 * [taylor]: Taking taylor expansion of 0 in im 5.733 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.734 * [backup-simplify]: Simplify (- 0) into 0 5.734 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [taylor]: Taking taylor expansion of 0 in im 5.734 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.736 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.736 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.737 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify (- 0) into 0 5.738 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.738 * [taylor]: Taking taylor expansion of 1/2 in im 5.738 * [backup-simplify]: Simplify 1/2 into 1/2 5.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.738 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.738 * [taylor]: Taking taylor expansion of im in im 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 1 into 1 5.738 * [backup-simplify]: Simplify (* 1 1) into 1 5.738 * [backup-simplify]: Simplify (/ 1 1) into 1 5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.743 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.743 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.743 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.743 * [backup-simplify]: Simplify (+ 0 0) into 0 5.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.744 * [backup-simplify]: Simplify (- 0) into 0 5.745 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [taylor]: Taking taylor expansion of 0 in im 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.748 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 1) 5.748 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 5.748 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 5.748 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.748 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.748 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.748 * [taylor]: Taking taylor expansion of (* re re) in im 5.748 * [taylor]: Taking taylor expansion of re in im 5.748 * [backup-simplify]: Simplify re into re 5.748 * [taylor]: Taking taylor expansion of re in im 5.748 * [backup-simplify]: Simplify re into re 5.748 * [taylor]: Taking taylor expansion of (* im im) in im 5.748 * [taylor]: Taking taylor expansion of im in im 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.748 * [taylor]: Taking taylor expansion of im in im 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.749 * [backup-simplify]: Simplify (* 0 0) into 0 5.749 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.749 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.749 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.750 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.750 * [backup-simplify]: Simplify (+ 0 0) into 0 5.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.751 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.751 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.751 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.751 * [taylor]: Taking taylor expansion of (* re re) in re 5.751 * [taylor]: Taking taylor expansion of re in re 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [taylor]: Taking taylor expansion of re in re 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 1 into 1 5.751 * [taylor]: Taking taylor expansion of (* im im) in re 5.751 * [taylor]: Taking taylor expansion of im in re 5.751 * [backup-simplify]: Simplify im into im 5.751 * [taylor]: Taking taylor expansion of im in re 5.751 * [backup-simplify]: Simplify im into im 5.751 * [backup-simplify]: Simplify (* 0 0) into 0 5.751 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.752 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.752 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.752 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.753 * [backup-simplify]: Simplify (+ 0 0) into 0 5.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.753 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.753 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.753 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.753 * [taylor]: Taking taylor expansion of (* re re) in re 5.753 * [taylor]: Taking taylor expansion of re in re 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [taylor]: Taking taylor expansion of re in re 5.753 * [backup-simplify]: Simplify 0 into 0 5.753 * [backup-simplify]: Simplify 1 into 1 5.753 * [taylor]: Taking taylor expansion of (* im im) in re 5.753 * [taylor]: Taking taylor expansion of im in re 5.754 * [backup-simplify]: Simplify im into im 5.754 * [taylor]: Taking taylor expansion of im in re 5.754 * [backup-simplify]: Simplify im into im 5.754 * [backup-simplify]: Simplify (* 0 0) into 0 5.754 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.754 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.754 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.755 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.755 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.755 * [backup-simplify]: Simplify (+ 0 0) into 0 5.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 * [backup-simplify]: Simplify 0 into 0 5.756 * [taylor]: Taking taylor expansion of 0 in im 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify 1 into 1 5.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.757 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.758 * [backup-simplify]: Simplify (+ 1 0) into 1 5.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.759 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.759 * [taylor]: Taking taylor expansion of 1/2 in im 5.759 * [backup-simplify]: Simplify 1/2 into 1/2 5.759 * [taylor]: Taking taylor expansion of im in im 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [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 5.760 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.762 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.763 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.763 * [taylor]: Taking taylor expansion of 0 in im 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.765 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 5.765 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 5.765 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.765 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.765 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.765 * [taylor]: Taking taylor expansion of re in im 5.765 * [backup-simplify]: Simplify re into re 5.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.765 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.765 * [taylor]: Taking taylor expansion of re in im 5.765 * [backup-simplify]: Simplify re into re 5.765 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.765 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.765 * [taylor]: Taking taylor expansion of im in im 5.765 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (/ 1 1) into 1 5.766 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.766 * [taylor]: Taking taylor expansion of im in im 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 5.767 * [backup-simplify]: Simplify (* 1 1) into 1 5.767 * [backup-simplify]: Simplify (+ 0 1) into 1 5.768 * [backup-simplify]: Simplify (sqrt 1) into 1 5.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.770 * [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 (hypot (/ 1 re) (/ 1 im)) in re 5.771 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.771 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.771 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.771 * [taylor]: Taking taylor expansion of re in re 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (/ 1 1) into 1 5.772 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.772 * [taylor]: Taking taylor expansion of re in re 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify 1 into 1 5.772 * [backup-simplify]: Simplify (/ 1 1) into 1 5.772 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.772 * [taylor]: Taking taylor expansion of im in re 5.772 * [backup-simplify]: Simplify im into im 5.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.772 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.772 * [taylor]: Taking taylor expansion of im in re 5.772 * [backup-simplify]: Simplify im into im 5.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.773 * [backup-simplify]: Simplify (* 1 1) into 1 5.773 * [backup-simplify]: Simplify (+ 1 0) into 1 5.774 * [backup-simplify]: Simplify (sqrt 1) into 1 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.776 * [backup-simplify]: Simplify (+ 0 0) into 0 5.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.777 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.777 * [taylor]: Taking taylor expansion of re in re 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 1 into 1 5.778 * [backup-simplify]: Simplify (/ 1 1) into 1 5.778 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.778 * [taylor]: Taking taylor expansion of re in re 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 1 into 1 5.778 * [backup-simplify]: Simplify (/ 1 1) into 1 5.778 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.778 * [taylor]: Taking taylor expansion of im in re 5.778 * [backup-simplify]: Simplify im into im 5.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.778 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.778 * [taylor]: Taking taylor expansion of im in re 5.778 * [backup-simplify]: Simplify im into im 5.778 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.779 * [backup-simplify]: Simplify (* 1 1) into 1 5.779 * [backup-simplify]: Simplify (+ 1 0) into 1 5.780 * [backup-simplify]: Simplify (sqrt 1) into 1 5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.782 * [backup-simplify]: Simplify (+ 0 0) into 0 5.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.783 * [taylor]: Taking taylor expansion of 1 in im 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [taylor]: Taking taylor expansion of 0 in im 5.783 * [backup-simplify]: Simplify 0 into 0 5.784 * [backup-simplify]: Simplify 1 into 1 5.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.786 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.787 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.788 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.788 * [taylor]: Taking taylor expansion of 1/2 in im 5.788 * [backup-simplify]: Simplify 1/2 into 1/2 5.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.788 * [taylor]: Taking taylor expansion of im in im 5.788 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify 1 into 1 5.789 * [backup-simplify]: Simplify (* 1 1) into 1 5.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.790 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.794 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.794 * [backup-simplify]: Simplify (+ 0 0) into 0 5.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.795 * [taylor]: Taking taylor expansion of 0 in im 5.795 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.798 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 5.798 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 5.798 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.798 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.798 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.798 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.798 * [taylor]: Taking taylor expansion of -1 in im 5.798 * [backup-simplify]: Simplify -1 into -1 5.798 * [taylor]: Taking taylor expansion of re in im 5.798 * [backup-simplify]: Simplify re into re 5.798 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.798 * [taylor]: Taking taylor expansion of -1 in im 5.798 * [backup-simplify]: Simplify -1 into -1 5.798 * [taylor]: Taking taylor expansion of re in im 5.798 * [backup-simplify]: Simplify re into re 5.798 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.798 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.798 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.798 * [taylor]: Taking taylor expansion of -1 in im 5.798 * [backup-simplify]: Simplify -1 into -1 5.799 * [taylor]: Taking taylor expansion of im in im 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.799 * [backup-simplify]: Simplify (/ -1 1) into -1 5.799 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.799 * [taylor]: Taking taylor expansion of -1 in im 5.799 * [backup-simplify]: Simplify -1 into -1 5.799 * [taylor]: Taking taylor expansion of im in im 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify 1 into 1 5.800 * [backup-simplify]: Simplify (/ -1 1) into -1 5.800 * [backup-simplify]: Simplify (* -1 -1) into 1 5.800 * [backup-simplify]: Simplify (+ 0 1) into 1 5.801 * [backup-simplify]: Simplify (sqrt 1) into 1 5.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.803 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.804 * [backup-simplify]: Simplify (+ 0 0) into 0 5.804 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.804 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.805 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.805 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.805 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.805 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.805 * [taylor]: Taking taylor expansion of -1 in re 5.805 * [backup-simplify]: Simplify -1 into -1 5.805 * [taylor]: Taking taylor expansion of re in re 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify 1 into 1 5.805 * [backup-simplify]: Simplify (/ -1 1) into -1 5.805 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.805 * [taylor]: Taking taylor expansion of -1 in re 5.805 * [backup-simplify]: Simplify -1 into -1 5.805 * [taylor]: Taking taylor expansion of re in re 5.805 * [backup-simplify]: Simplify 0 into 0 5.805 * [backup-simplify]: Simplify 1 into 1 5.805 * [backup-simplify]: Simplify (/ -1 1) into -1 5.805 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.805 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.805 * [taylor]: Taking taylor expansion of -1 in re 5.805 * [backup-simplify]: Simplify -1 into -1 5.805 * [taylor]: Taking taylor expansion of im in re 5.805 * [backup-simplify]: Simplify im into im 5.806 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.806 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.806 * [taylor]: Taking taylor expansion of -1 in re 5.806 * [backup-simplify]: Simplify -1 into -1 5.806 * [taylor]: Taking taylor expansion of im in re 5.806 * [backup-simplify]: Simplify im into im 5.806 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.806 * [backup-simplify]: Simplify (* -1 -1) into 1 5.806 * [backup-simplify]: Simplify (+ 1 0) into 1 5.806 * [backup-simplify]: Simplify (sqrt 1) into 1 5.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.808 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.808 * [backup-simplify]: Simplify (+ 0 0) into 0 5.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.808 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.808 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.809 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.809 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.809 * [taylor]: Taking taylor expansion of -1 in re 5.809 * [backup-simplify]: Simplify -1 into -1 5.809 * [taylor]: Taking taylor expansion of re in re 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [backup-simplify]: Simplify (/ -1 1) into -1 5.809 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.809 * [taylor]: Taking taylor expansion of -1 in re 5.809 * [backup-simplify]: Simplify -1 into -1 5.809 * [taylor]: Taking taylor expansion of re in re 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify 1 into 1 5.809 * [backup-simplify]: Simplify (/ -1 1) into -1 5.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.809 * [taylor]: Taking taylor expansion of -1 in re 5.809 * [backup-simplify]: Simplify -1 into -1 5.809 * [taylor]: Taking taylor expansion of im in re 5.809 * [backup-simplify]: Simplify im into im 5.809 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.809 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.809 * [taylor]: Taking taylor expansion of -1 in re 5.809 * [backup-simplify]: Simplify -1 into -1 5.809 * [taylor]: Taking taylor expansion of im in re 5.809 * [backup-simplify]: Simplify im into im 5.810 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.810 * [backup-simplify]: Simplify (* -1 -1) into 1 5.810 * [backup-simplify]: Simplify (+ 1 0) into 1 5.810 * [backup-simplify]: Simplify (sqrt 1) into 1 5.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.812 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.812 * [backup-simplify]: Simplify (+ 0 0) into 0 5.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.812 * [taylor]: Taking taylor expansion of 1 in im 5.812 * [backup-simplify]: Simplify 1 into 1 5.812 * [taylor]: Taking taylor expansion of 0 in im 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 1 into 1 5.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.814 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.814 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.814 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.815 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.815 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.815 * [taylor]: Taking taylor expansion of 1/2 in im 5.815 * [backup-simplify]: Simplify 1/2 into 1/2 5.815 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.815 * [taylor]: Taking taylor expansion of im in im 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 1 into 1 5.815 * [backup-simplify]: Simplify (* 1 1) into 1 5.816 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.816 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.818 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.818 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.818 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.819 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.819 * [backup-simplify]: Simplify (+ 0 0) into 0 5.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.819 * [taylor]: Taking taylor expansion of 0 in im 5.819 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.821 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) 5.821 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 5.821 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 5.821 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.821 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.821 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.821 * [taylor]: Taking taylor expansion of (* re re) in im 5.821 * [taylor]: Taking taylor expansion of re in im 5.821 * [backup-simplify]: Simplify re into re 5.821 * [taylor]: Taking taylor expansion of re in im 5.821 * [backup-simplify]: Simplify re into re 5.821 * [taylor]: Taking taylor expansion of (* im im) in im 5.821 * [taylor]: Taking taylor expansion of im in im 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [taylor]: Taking taylor expansion of im in im 5.821 * [backup-simplify]: Simplify 0 into 0 5.821 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.821 * [backup-simplify]: Simplify (* 0 0) into 0 5.821 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.821 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.822 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.822 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.822 * [backup-simplify]: Simplify (+ 0 0) into 0 5.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.822 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.822 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.822 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.822 * [taylor]: Taking taylor expansion of (* re re) in re 5.822 * [taylor]: Taking taylor expansion of re in re 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [taylor]: Taking taylor expansion of re in re 5.822 * [backup-simplify]: Simplify 0 into 0 5.822 * [backup-simplify]: Simplify 1 into 1 5.822 * [taylor]: Taking taylor expansion of (* im im) in re 5.822 * [taylor]: Taking taylor expansion of im in re 5.822 * [backup-simplify]: Simplify im into im 5.822 * [taylor]: Taking taylor expansion of im in re 5.823 * [backup-simplify]: Simplify im into im 5.823 * [backup-simplify]: Simplify (* 0 0) into 0 5.823 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.823 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.823 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.823 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.823 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.824 * [backup-simplify]: Simplify (+ 0 0) into 0 5.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.824 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.824 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.824 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.824 * [taylor]: Taking taylor expansion of (* re re) in re 5.824 * [taylor]: Taking taylor expansion of re in re 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [taylor]: Taking taylor expansion of re in re 5.824 * [backup-simplify]: Simplify 0 into 0 5.824 * [backup-simplify]: Simplify 1 into 1 5.824 * [taylor]: Taking taylor expansion of (* im im) in re 5.824 * [taylor]: Taking taylor expansion of im in re 5.824 * [backup-simplify]: Simplify im into im 5.824 * [taylor]: Taking taylor expansion of im in re 5.824 * [backup-simplify]: Simplify im into im 5.824 * [backup-simplify]: Simplify (* 0 0) into 0 5.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.824 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.825 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.825 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.825 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.825 * [backup-simplify]: Simplify (+ 0 0) into 0 5.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.825 * [taylor]: Taking taylor expansion of im in im 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify 1 into 1 5.825 * [backup-simplify]: Simplify 0 into 0 5.825 * [taylor]: Taking taylor expansion of 0 in im 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify 1 into 1 5.826 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.826 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.827 * [backup-simplify]: Simplify (+ 1 0) into 1 5.827 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.827 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.827 * [taylor]: Taking taylor expansion of 1/2 in im 5.827 * [backup-simplify]: Simplify 1/2 into 1/2 5.827 * [taylor]: Taking taylor expansion of im in im 5.827 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify 1 into 1 5.827 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.829 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.829 * [backup-simplify]: Simplify (+ 0 0) into 0 5.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.829 * [taylor]: Taking taylor expansion of 0 in im 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.830 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 5.830 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 5.830 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.830 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.830 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.830 * [taylor]: Taking taylor expansion of re in im 5.830 * [backup-simplify]: Simplify re into re 5.830 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.831 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.831 * [taylor]: Taking taylor expansion of re in im 5.831 * [backup-simplify]: Simplify re into re 5.831 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.831 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.831 * [taylor]: Taking taylor expansion of im in im 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.831 * [taylor]: Taking taylor expansion of im in im 5.831 * [backup-simplify]: Simplify 0 into 0 5.831 * [backup-simplify]: Simplify 1 into 1 5.831 * [backup-simplify]: Simplify (/ 1 1) into 1 5.831 * [backup-simplify]: Simplify (* 1 1) into 1 5.832 * [backup-simplify]: Simplify (+ 0 1) into 1 5.832 * [backup-simplify]: Simplify (sqrt 1) into 1 5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.834 * [backup-simplify]: Simplify (+ 0 0) into 0 5.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.835 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.835 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.835 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.835 * [taylor]: Taking taylor expansion of re in re 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 1 into 1 5.835 * [backup-simplify]: Simplify (/ 1 1) into 1 5.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.836 * [taylor]: Taking taylor expansion of re in re 5.836 * [backup-simplify]: Simplify 0 into 0 5.836 * [backup-simplify]: Simplify 1 into 1 5.836 * [backup-simplify]: Simplify (/ 1 1) into 1 5.836 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.836 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.836 * [taylor]: Taking taylor expansion of im in re 5.836 * [backup-simplify]: Simplify im into im 5.836 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.836 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.836 * [taylor]: Taking taylor expansion of im in re 5.836 * [backup-simplify]: Simplify im into im 5.836 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.837 * [backup-simplify]: Simplify (* 1 1) into 1 5.837 * [backup-simplify]: Simplify (+ 1 0) into 1 5.837 * [backup-simplify]: Simplify (sqrt 1) into 1 5.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.840 * [backup-simplify]: Simplify (+ 0 0) into 0 5.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.841 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.841 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.841 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.841 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.841 * [taylor]: Taking taylor expansion of re in re 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.841 * [backup-simplify]: Simplify (/ 1 1) into 1 5.841 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.841 * [taylor]: Taking taylor expansion of re in re 5.841 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify 1 into 1 5.842 * [backup-simplify]: Simplify (/ 1 1) into 1 5.842 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.842 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.842 * [taylor]: Taking taylor expansion of im in re 5.842 * [backup-simplify]: Simplify im into im 5.842 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.842 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.842 * [taylor]: Taking taylor expansion of im in re 5.842 * [backup-simplify]: Simplify im into im 5.842 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.843 * [backup-simplify]: Simplify (+ 1 0) into 1 5.844 * [backup-simplify]: Simplify (sqrt 1) into 1 5.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.846 * [backup-simplify]: Simplify (+ 0 0) into 0 5.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.847 * [taylor]: Taking taylor expansion of 1 in im 5.847 * [backup-simplify]: Simplify 1 into 1 5.847 * [taylor]: Taking taylor expansion of 0 in im 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify 1 into 1 5.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.850 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.850 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.852 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.852 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.852 * [taylor]: Taking taylor expansion of 1/2 in im 5.852 * [backup-simplify]: Simplify 1/2 into 1/2 5.852 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.852 * [taylor]: Taking taylor expansion of im in im 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify 1 into 1 5.852 * [backup-simplify]: Simplify (* 1 1) into 1 5.853 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.858 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.858 * [backup-simplify]: Simplify (+ 0 0) into 0 5.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.859 * [taylor]: Taking taylor expansion of 0 in im 5.859 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify 0 into 0 5.861 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.861 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 5.861 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 5.861 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.861 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.861 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.861 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.861 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.861 * [taylor]: Taking taylor expansion of -1 in im 5.862 * [backup-simplify]: Simplify -1 into -1 5.862 * [taylor]: Taking taylor expansion of re in im 5.862 * [backup-simplify]: Simplify re into re 5.862 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.862 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.862 * [taylor]: Taking taylor expansion of -1 in im 5.862 * [backup-simplify]: Simplify -1 into -1 5.862 * [taylor]: Taking taylor expansion of re in im 5.862 * [backup-simplify]: Simplify re into re 5.862 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.862 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.862 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.862 * [taylor]: Taking taylor expansion of -1 in im 5.862 * [backup-simplify]: Simplify -1 into -1 5.862 * [taylor]: Taking taylor expansion of im in im 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (/ -1 1) into -1 5.863 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.863 * [taylor]: Taking taylor expansion of -1 in im 5.863 * [backup-simplify]: Simplify -1 into -1 5.863 * [taylor]: Taking taylor expansion of im in im 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 1 into 1 5.863 * [backup-simplify]: Simplify (/ -1 1) into -1 5.864 * [backup-simplify]: Simplify (* -1 -1) into 1 5.864 * [backup-simplify]: Simplify (+ 0 1) into 1 5.864 * [backup-simplify]: Simplify (sqrt 1) into 1 5.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.867 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.867 * [backup-simplify]: Simplify (+ 0 0) into 0 5.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.868 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.868 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.868 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.868 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.868 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.868 * [taylor]: Taking taylor expansion of -1 in re 5.868 * [backup-simplify]: Simplify -1 into -1 5.868 * [taylor]: Taking taylor expansion of re in re 5.868 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify 1 into 1 5.869 * [backup-simplify]: Simplify (/ -1 1) into -1 5.869 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.869 * [taylor]: Taking taylor expansion of -1 in re 5.869 * [backup-simplify]: Simplify -1 into -1 5.869 * [taylor]: Taking taylor expansion of re in re 5.869 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify 1 into 1 5.869 * [backup-simplify]: Simplify (/ -1 1) into -1 5.869 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.869 * [taylor]: Taking taylor expansion of -1 in re 5.869 * [backup-simplify]: Simplify -1 into -1 5.869 * [taylor]: Taking taylor expansion of im in re 5.869 * [backup-simplify]: Simplify im into im 5.869 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.869 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.869 * [taylor]: Taking taylor expansion of -1 in re 5.869 * [backup-simplify]: Simplify -1 into -1 5.870 * [taylor]: Taking taylor expansion of im in re 5.870 * [backup-simplify]: Simplify im into im 5.870 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.870 * [backup-simplify]: Simplify (* -1 -1) into 1 5.870 * [backup-simplify]: Simplify (+ 1 0) into 1 5.872 * [backup-simplify]: Simplify (sqrt 1) into 1 5.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.875 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.875 * [backup-simplify]: Simplify (+ 0 0) into 0 5.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.876 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.876 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.876 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.876 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.876 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.876 * [taylor]: Taking taylor expansion of -1 in re 5.876 * [backup-simplify]: Simplify -1 into -1 5.876 * [taylor]: Taking taylor expansion of re in re 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (/ -1 1) into -1 5.877 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.877 * [taylor]: Taking taylor expansion of -1 in re 5.877 * [backup-simplify]: Simplify -1 into -1 5.877 * [taylor]: Taking taylor expansion of re in re 5.877 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify 1 into 1 5.877 * [backup-simplify]: Simplify (/ -1 1) into -1 5.877 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.877 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.877 * [taylor]: Taking taylor expansion of -1 in re 5.877 * [backup-simplify]: Simplify -1 into -1 5.877 * [taylor]: Taking taylor expansion of im in re 5.877 * [backup-simplify]: Simplify im into im 5.877 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.877 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.877 * [taylor]: Taking taylor expansion of -1 in re 5.877 * [backup-simplify]: Simplify -1 into -1 5.877 * [taylor]: Taking taylor expansion of im in re 5.877 * [backup-simplify]: Simplify im into im 5.877 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.877 * [backup-simplify]: Simplify (* -1 -1) into 1 5.878 * [backup-simplify]: Simplify (+ 1 0) into 1 5.878 * [backup-simplify]: Simplify (sqrt 1) into 1 5.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.880 * [backup-simplify]: Simplify (+ 0 0) into 0 5.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.880 * [taylor]: Taking taylor expansion of 1 in im 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [taylor]: Taking taylor expansion of 0 in im 5.880 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify 1 into 1 5.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.882 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.882 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.883 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.883 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.883 * [taylor]: Taking taylor expansion of 1/2 in im 5.883 * [backup-simplify]: Simplify 1/2 into 1/2 5.883 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.883 * [taylor]: Taking taylor expansion of im in im 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify 1 into 1 5.883 * [backup-simplify]: Simplify (* 1 1) into 1 5.883 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.886 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.886 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.886 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.886 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.887 * [backup-simplify]: Simplify (+ 0 0) into 0 5.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.887 * [taylor]: Taking taylor expansion of 0 in im 5.887 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.888 * * * [progress]: simplifying candidates 5.890 * [simplify]: Simplifying: (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 im re (* -1 re) im re (* -1 re) 5.891 * * [simplify]: iteration 0: 80 enodes 5.913 * * [simplify]: iteration 1: 182 enodes 5.979 * * [simplify]: iteration 2: 655 enodes 7.219 * * [simplify]: iteration 3: 4590 enodes 11.553 * * [simplify]: iteration complete: 5000 enodes 11.553 * * [simplify]: Extracting #0: cost 36 inf + 0 11.556 * * [simplify]: Extracting #1: cost 694 inf + 47 11.566 * * [simplify]: Extracting #2: cost 1247 inf + 6374 11.615 * * [simplify]: Extracting #3: cost 390 inf + 168365 11.689 * * [simplify]: Extracting #4: cost 12 inf + 252261 11.760 * * [simplify]: Extracting #5: cost 0 inf + 256094 11.856 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re)) (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re)) (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (hypot re im) (+ re im) (* re 2) 0 (+ re im) (* re 2) 0 im re (- re) im re (- re) 11.873 * * * [progress]: adding candidates to table 12.745 * * [progress]: iteration 4 / 4 12.745 * * * [progress]: picking best candidate 12.813 * * * * [pick]: Picked # 12.814 * * * [progress]: localizing error 12.853 * * * [progress]: generating rewritten candidates 12.853 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 12.854 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 12.861 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 12.862 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 12.863 * * * [progress]: generating series expansions 12.863 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 12.863 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 12.863 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 12.864 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 12.864 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 12.864 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 12.864 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 12.864 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.864 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.864 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.864 * [taylor]: Taking taylor expansion of (* re re) in im 12.864 * [taylor]: Taking taylor expansion of re in im 12.864 * [backup-simplify]: Simplify re into re 12.864 * [taylor]: Taking taylor expansion of re in im 12.864 * [backup-simplify]: Simplify re into re 12.864 * [taylor]: Taking taylor expansion of (* im im) in im 12.864 * [taylor]: Taking taylor expansion of im in im 12.864 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify 1 into 1 12.864 * [taylor]: Taking taylor expansion of im in im 12.864 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify 1 into 1 12.864 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.865 * [backup-simplify]: Simplify (* 0 0) into 0 12.865 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.866 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.866 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.867 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.867 * [backup-simplify]: Simplify (+ 0 0) into 0 12.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.867 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 12.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 12.867 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 12.867 * [taylor]: Taking taylor expansion of (hypot re im) in im 12.867 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.868 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 12.868 * [taylor]: Taking taylor expansion of (* re re) in im 12.868 * [taylor]: Taking taylor expansion of re in im 12.868 * [backup-simplify]: Simplify re into re 12.868 * [taylor]: Taking taylor expansion of re in im 12.868 * [backup-simplify]: Simplify re into re 12.868 * [taylor]: Taking taylor expansion of (* im im) in im 12.868 * [taylor]: Taking taylor expansion of im in im 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [taylor]: Taking taylor expansion of im in im 12.868 * [backup-simplify]: Simplify 0 into 0 12.868 * [backup-simplify]: Simplify 1 into 1 12.868 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.868 * [backup-simplify]: Simplify (* 0 0) into 0 12.869 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 12.869 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.869 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.869 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.870 * [backup-simplify]: Simplify (+ 0 0) into 0 12.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.870 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 12.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 12.870 * [taylor]: Taking taylor expansion of re in im 12.870 * [backup-simplify]: Simplify re into re 12.870 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 12.870 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 12.870 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 12.871 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.871 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.871 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.871 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.871 * [taylor]: Taking taylor expansion of (* re re) in re 12.871 * [taylor]: Taking taylor expansion of re in re 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify 1 into 1 12.871 * [taylor]: Taking taylor expansion of re in re 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify 1 into 1 12.871 * [taylor]: Taking taylor expansion of (* im im) in re 12.871 * [taylor]: Taking taylor expansion of im in re 12.871 * [backup-simplify]: Simplify im into im 12.871 * [taylor]: Taking taylor expansion of im in re 12.871 * [backup-simplify]: Simplify im into im 12.871 * [backup-simplify]: Simplify (* 0 0) into 0 12.872 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.872 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.872 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.873 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.873 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.873 * [backup-simplify]: Simplify (+ 0 0) into 0 12.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.874 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.874 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.874 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.874 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.874 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.874 * [taylor]: Taking taylor expansion of (* re re) in re 12.874 * [taylor]: Taking taylor expansion of re in re 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [taylor]: Taking taylor expansion of re in re 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [taylor]: Taking taylor expansion of (* im im) in re 12.874 * [taylor]: Taking taylor expansion of im in re 12.874 * [backup-simplify]: Simplify im into im 12.874 * [taylor]: Taking taylor expansion of im in re 12.874 * [backup-simplify]: Simplify im into im 12.875 * [backup-simplify]: Simplify (* 0 0) into 0 12.875 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.875 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.875 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.876 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.876 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.876 * [backup-simplify]: Simplify (+ 0 0) into 0 12.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.876 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.876 * [taylor]: Taking taylor expansion of re in re 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 1 into 1 12.877 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 12.877 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 12.877 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 12.877 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.877 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.877 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.877 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.877 * [taylor]: Taking taylor expansion of (* re re) in re 12.877 * [taylor]: Taking taylor expansion of re in re 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 1 into 1 12.877 * [taylor]: Taking taylor expansion of re in re 12.877 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify 1 into 1 12.877 * [taylor]: Taking taylor expansion of (* im im) in re 12.877 * [taylor]: Taking taylor expansion of im in re 12.877 * [backup-simplify]: Simplify im into im 12.877 * [taylor]: Taking taylor expansion of im in re 12.877 * [backup-simplify]: Simplify im into im 12.878 * [backup-simplify]: Simplify (* 0 0) into 0 12.878 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.878 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.878 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.879 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.879 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.879 * [backup-simplify]: Simplify (+ 0 0) into 0 12.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.879 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.879 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 12.880 * [taylor]: Taking taylor expansion of (hypot re im) in re 12.880 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 12.880 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 12.880 * [taylor]: Taking taylor expansion of (* re re) in re 12.880 * [taylor]: Taking taylor expansion of re in re 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify 1 into 1 12.880 * [taylor]: Taking taylor expansion of re in re 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify 1 into 1 12.880 * [taylor]: Taking taylor expansion of (* im im) in re 12.880 * [taylor]: Taking taylor expansion of im in re 12.880 * [backup-simplify]: Simplify im into im 12.880 * [taylor]: Taking taylor expansion of im in re 12.880 * [backup-simplify]: Simplify im into im 12.880 * [backup-simplify]: Simplify (* 0 0) into 0 12.880 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.881 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 12.881 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.881 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 12.882 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.882 * [backup-simplify]: Simplify (+ 0 0) into 0 12.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.882 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 12.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 12.882 * [taylor]: Taking taylor expansion of re in re 12.882 * [backup-simplify]: Simplify 0 into 0 12.882 * [backup-simplify]: Simplify 1 into 1 12.882 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 12.883 * [backup-simplify]: Simplify (+ im 0) into im 12.883 * [taylor]: Taking taylor expansion of im in im 12.883 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify 1 into 1 12.883 * [backup-simplify]: Simplify 0 into 0 12.883 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 12.883 * [backup-simplify]: Simplify (+ 0 1) into 1 12.883 * [taylor]: Taking taylor expansion of 1 in im 12.883 * [backup-simplify]: Simplify 1 into 1 12.883 * [backup-simplify]: Simplify 1 into 1 12.883 * [backup-simplify]: Simplify 1 into 1 12.884 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.885 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.885 * [backup-simplify]: Simplify (+ 1 0) into 1 12.886 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.887 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 12.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 12.888 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.888 * [backup-simplify]: Simplify (+ 1 0) into 1 12.889 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.890 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 12.891 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 12.891 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 12.891 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.891 * [taylor]: Taking taylor expansion of 1/2 in im 12.891 * [backup-simplify]: Simplify 1/2 into 1/2 12.891 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.891 * [taylor]: Taking taylor expansion of im in im 12.891 * [backup-simplify]: Simplify 0 into 0 12.891 * [backup-simplify]: Simplify 1 into 1 12.892 * [backup-simplify]: Simplify (/ 1 1) into 1 12.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 0 into 0 12.893 * [backup-simplify]: Simplify 0 into 0 12.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.895 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.896 * [backup-simplify]: Simplify (+ 0 0) into 0 12.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 12.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 12.899 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.899 * [backup-simplify]: Simplify (+ 0 0) into 0 12.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.900 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 12.900 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* 0 (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* (* 1/4 (sqrt (/ 1 (pow im 3)))) 0) (* 0 (sqrt im))))) into 0 12.901 * [backup-simplify]: Simplify (+ 0 0) into 0 12.901 * [taylor]: Taking taylor expansion of 0 in im 12.901 * [backup-simplify]: Simplify 0 into 0 12.901 * [backup-simplify]: Simplify 0 into 0 12.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.903 * [backup-simplify]: Simplify 0 into 0 12.903 * [backup-simplify]: Simplify 0 into 0 12.903 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 12.903 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) into (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) 12.903 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in (re im) around 0 12.903 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 12.903 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 12.904 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 12.904 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 12.904 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.904 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.904 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.904 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.904 * [taylor]: Taking taylor expansion of re in im 12.904 * [backup-simplify]: Simplify re into re 12.904 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.904 * [taylor]: Taking taylor expansion of re in im 12.904 * [backup-simplify]: Simplify re into re 12.904 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.904 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.904 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.904 * [taylor]: Taking taylor expansion of im in im 12.904 * [backup-simplify]: Simplify 0 into 0 12.904 * [backup-simplify]: Simplify 1 into 1 12.905 * [backup-simplify]: Simplify (/ 1 1) into 1 12.905 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.905 * [taylor]: Taking taylor expansion of im in im 12.905 * [backup-simplify]: Simplify 0 into 0 12.905 * [backup-simplify]: Simplify 1 into 1 12.905 * [backup-simplify]: Simplify (/ 1 1) into 1 12.905 * [backup-simplify]: Simplify (* 1 1) into 1 12.906 * [backup-simplify]: Simplify (+ 0 1) into 1 12.906 * [backup-simplify]: Simplify (sqrt 1) into 1 12.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.909 * [backup-simplify]: Simplify (+ 0 0) into 0 12.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.910 * [backup-simplify]: Simplify (sqrt 0) into 0 12.912 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.912 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 12.912 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 12.912 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.912 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 12.912 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 12.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.912 * [taylor]: Taking taylor expansion of re in im 12.912 * [backup-simplify]: Simplify re into re 12.912 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.912 * [taylor]: Taking taylor expansion of re in im 12.912 * [backup-simplify]: Simplify re into re 12.912 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.912 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 12.912 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.912 * [taylor]: Taking taylor expansion of im in im 12.912 * [backup-simplify]: Simplify 0 into 0 12.912 * [backup-simplify]: Simplify 1 into 1 12.913 * [backup-simplify]: Simplify (/ 1 1) into 1 12.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.913 * [taylor]: Taking taylor expansion of im in im 12.913 * [backup-simplify]: Simplify 0 into 0 12.913 * [backup-simplify]: Simplify 1 into 1 12.913 * [backup-simplify]: Simplify (/ 1 1) into 1 12.914 * [backup-simplify]: Simplify (* 1 1) into 1 12.914 * [backup-simplify]: Simplify (+ 0 1) into 1 12.914 * [backup-simplify]: Simplify (sqrt 1) into 1 12.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.917 * [backup-simplify]: Simplify (+ 0 0) into 0 12.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.917 * [backup-simplify]: Simplify (sqrt 0) into 0 12.918 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.918 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.918 * [taylor]: Taking taylor expansion of re in im 12.918 * [backup-simplify]: Simplify re into re 12.918 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.918 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 12.919 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 12.919 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 12.919 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.919 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.919 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.919 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.919 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.919 * [taylor]: Taking taylor expansion of re in re 12.919 * [backup-simplify]: Simplify 0 into 0 12.919 * [backup-simplify]: Simplify 1 into 1 12.919 * [backup-simplify]: Simplify (/ 1 1) into 1 12.919 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.919 * [taylor]: Taking taylor expansion of re in re 12.919 * [backup-simplify]: Simplify 0 into 0 12.919 * [backup-simplify]: Simplify 1 into 1 12.919 * [backup-simplify]: Simplify (/ 1 1) into 1 12.919 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.919 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.919 * [taylor]: Taking taylor expansion of im in re 12.919 * [backup-simplify]: Simplify im into im 12.919 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.919 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.919 * [taylor]: Taking taylor expansion of im in re 12.919 * [backup-simplify]: Simplify im into im 12.919 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.920 * [backup-simplify]: Simplify (* 1 1) into 1 12.920 * [backup-simplify]: Simplify (+ 1 0) into 1 12.920 * [backup-simplify]: Simplify (sqrt 1) into 1 12.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.922 * [backup-simplify]: Simplify (+ 0 0) into 0 12.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.922 * [backup-simplify]: Simplify (sqrt 0) into 0 12.923 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.923 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.923 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.923 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.923 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.923 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.923 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.923 * [taylor]: Taking taylor expansion of re in re 12.923 * [backup-simplify]: Simplify 0 into 0 12.923 * [backup-simplify]: Simplify 1 into 1 12.924 * [backup-simplify]: Simplify (/ 1 1) into 1 12.924 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.924 * [taylor]: Taking taylor expansion of re in re 12.924 * [backup-simplify]: Simplify 0 into 0 12.924 * [backup-simplify]: Simplify 1 into 1 12.924 * [backup-simplify]: Simplify (/ 1 1) into 1 12.924 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.924 * [taylor]: Taking taylor expansion of im in re 12.924 * [backup-simplify]: Simplify im into im 12.924 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.924 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.924 * [taylor]: Taking taylor expansion of im in re 12.924 * [backup-simplify]: Simplify im into im 12.924 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.924 * [backup-simplify]: Simplify (* 1 1) into 1 12.925 * [backup-simplify]: Simplify (+ 1 0) into 1 12.925 * [backup-simplify]: Simplify (sqrt 1) into 1 12.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.926 * [backup-simplify]: Simplify (+ 0 0) into 0 12.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.927 * [backup-simplify]: Simplify (sqrt 0) into 0 12.928 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.928 * [taylor]: Taking taylor expansion of re in re 12.928 * [backup-simplify]: Simplify 0 into 0 12.928 * [backup-simplify]: Simplify 1 into 1 12.928 * [backup-simplify]: Simplify (/ 1 1) into 1 12.928 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 12.928 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 12.928 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 12.928 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.928 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.929 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.929 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.929 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.929 * [taylor]: Taking taylor expansion of re in re 12.929 * [backup-simplify]: Simplify 0 into 0 12.929 * [backup-simplify]: Simplify 1 into 1 12.929 * [backup-simplify]: Simplify (/ 1 1) into 1 12.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.929 * [taylor]: Taking taylor expansion of re in re 12.929 * [backup-simplify]: Simplify 0 into 0 12.929 * [backup-simplify]: Simplify 1 into 1 12.929 * [backup-simplify]: Simplify (/ 1 1) into 1 12.929 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.929 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.929 * [taylor]: Taking taylor expansion of im in re 12.929 * [backup-simplify]: Simplify im into im 12.929 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.929 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.929 * [taylor]: Taking taylor expansion of im in re 12.929 * [backup-simplify]: Simplify im into im 12.929 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.930 * [backup-simplify]: Simplify (* 1 1) into 1 12.930 * [backup-simplify]: Simplify (+ 1 0) into 1 12.930 * [backup-simplify]: Simplify (sqrt 1) into 1 12.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.932 * [backup-simplify]: Simplify (+ 0 0) into 0 12.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.932 * [backup-simplify]: Simplify (sqrt 0) into 0 12.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.933 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 12.933 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 12.933 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 12.933 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 12.934 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 12.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.934 * [taylor]: Taking taylor expansion of re in re 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 1 into 1 12.934 * [backup-simplify]: Simplify (/ 1 1) into 1 12.934 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.934 * [taylor]: Taking taylor expansion of re in re 12.934 * [backup-simplify]: Simplify 0 into 0 12.934 * [backup-simplify]: Simplify 1 into 1 12.934 * [backup-simplify]: Simplify (/ 1 1) into 1 12.934 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 12.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.934 * [taylor]: Taking taylor expansion of im in re 12.934 * [backup-simplify]: Simplify im into im 12.934 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.934 * [taylor]: Taking taylor expansion of (/ 1 im) in re 12.934 * [taylor]: Taking taylor expansion of im in re 12.934 * [backup-simplify]: Simplify im into im 12.934 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.935 * [backup-simplify]: Simplify (* 1 1) into 1 12.935 * [backup-simplify]: Simplify (+ 1 0) into 1 12.935 * [backup-simplify]: Simplify (sqrt 1) into 1 12.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.937 * [backup-simplify]: Simplify (+ 0 0) into 0 12.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.938 * [backup-simplify]: Simplify (sqrt 0) into 0 12.939 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.939 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.939 * [taylor]: Taking taylor expansion of re in re 12.939 * [backup-simplify]: Simplify 0 into 0 12.939 * [backup-simplify]: Simplify 1 into 1 12.939 * [backup-simplify]: Simplify (/ 1 1) into 1 12.940 * [backup-simplify]: Simplify (* 0 0) into 0 12.940 * [backup-simplify]: Simplify (+ 0 0) into 0 12.940 * [taylor]: Taking taylor expansion of 0 in im 12.940 * [backup-simplify]: Simplify 0 into 0 12.941 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 12.941 * [backup-simplify]: Simplify (+ 0 1) into 1 12.941 * [taylor]: Taking taylor expansion of 1 in im 12.941 * [backup-simplify]: Simplify 1 into 1 12.943 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.944 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.946 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 12.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.947 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.947 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.947 * [taylor]: Taking taylor expansion of +nan.0 in im 12.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.947 * [backup-simplify]: Simplify 0 into 0 12.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.949 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.949 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.950 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.951 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.953 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 12.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.954 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.956 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 12.958 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 12.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.960 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 12.960 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.960 * [taylor]: Taking taylor expansion of +nan.0 in im 12.960 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.960 * [backup-simplify]: Simplify 1 into 1 12.960 * [backup-simplify]: Simplify 0 into 0 12.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.963 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.964 * [backup-simplify]: Simplify (+ 0 0) into 0 12.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.966 * [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))) 12.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 12.969 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 12.970 * [backup-simplify]: Simplify (+ 0 0) into 0 12.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.972 * [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))) 12.974 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.976 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 12.976 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 12.976 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 12.976 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 12.976 * [taylor]: Taking taylor expansion of +nan.0 in im 12.976 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.976 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.976 * [taylor]: Taking taylor expansion of im in im 12.976 * [backup-simplify]: Simplify 0 into 0 12.977 * [backup-simplify]: Simplify 1 into 1 12.977 * [backup-simplify]: Simplify (* 1 1) into 1 12.977 * [backup-simplify]: Simplify (/ 1 1) into 1 12.977 * [taylor]: Taking taylor expansion of (- +nan.0) in im 12.977 * [taylor]: Taking taylor expansion of +nan.0 in im 12.977 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.978 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 12.978 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 12.979 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 12.980 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.983 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.983 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 12.984 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 im)) (/ 1 re)) 2)) (* 1 (* 1 (/ 1 (/ 1 re)))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 12.984 * [backup-simplify]: Simplify (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) into (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) 12.984 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in (re im) around 0 12.984 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 12.984 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 12.984 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 12.984 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 12.984 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.984 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.984 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.984 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.984 * [taylor]: Taking taylor expansion of -1 in im 12.984 * [backup-simplify]: Simplify -1 into -1 12.984 * [taylor]: Taking taylor expansion of re in im 12.984 * [backup-simplify]: Simplify re into re 12.984 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.984 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.984 * [taylor]: Taking taylor expansion of -1 in im 12.984 * [backup-simplify]: Simplify -1 into -1 12.984 * [taylor]: Taking taylor expansion of re in im 12.985 * [backup-simplify]: Simplify re into re 12.985 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.985 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.985 * [taylor]: Taking taylor expansion of -1 in im 12.985 * [backup-simplify]: Simplify -1 into -1 12.985 * [taylor]: Taking taylor expansion of im in im 12.985 * [backup-simplify]: Simplify 0 into 0 12.985 * [backup-simplify]: Simplify 1 into 1 12.985 * [backup-simplify]: Simplify (/ -1 1) into -1 12.985 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.985 * [taylor]: Taking taylor expansion of -1 in im 12.985 * [backup-simplify]: Simplify -1 into -1 12.985 * [taylor]: Taking taylor expansion of im in im 12.985 * [backup-simplify]: Simplify 0 into 0 12.985 * [backup-simplify]: Simplify 1 into 1 12.985 * [backup-simplify]: Simplify (/ -1 1) into -1 12.986 * [backup-simplify]: Simplify (* -1 -1) into 1 12.986 * [backup-simplify]: Simplify (+ 0 1) into 1 12.986 * [backup-simplify]: Simplify (sqrt 1) into 1 12.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.987 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.988 * [backup-simplify]: Simplify (+ 0 0) into 0 12.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.988 * [backup-simplify]: Simplify (sqrt 0) into 0 12.989 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.989 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 12.989 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 12.989 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.989 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 12.989 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 12.989 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.989 * [taylor]: Taking taylor expansion of -1 in im 12.989 * [backup-simplify]: Simplify -1 into -1 12.989 * [taylor]: Taking taylor expansion of re in im 12.989 * [backup-simplify]: Simplify re into re 12.990 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.990 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.990 * [taylor]: Taking taylor expansion of -1 in im 12.990 * [backup-simplify]: Simplify -1 into -1 12.990 * [taylor]: Taking taylor expansion of re in im 12.990 * [backup-simplify]: Simplify re into re 12.990 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.990 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 12.990 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.990 * [taylor]: Taking taylor expansion of -1 in im 12.990 * [backup-simplify]: Simplify -1 into -1 12.990 * [taylor]: Taking taylor expansion of im in im 12.990 * [backup-simplify]: Simplify 0 into 0 12.990 * [backup-simplify]: Simplify 1 into 1 12.990 * [backup-simplify]: Simplify (/ -1 1) into -1 12.990 * [taylor]: Taking taylor expansion of (/ -1 im) in im 12.990 * [taylor]: Taking taylor expansion of -1 in im 12.990 * [backup-simplify]: Simplify -1 into -1 12.990 * [taylor]: Taking taylor expansion of im in im 12.990 * [backup-simplify]: Simplify 0 into 0 12.990 * [backup-simplify]: Simplify 1 into 1 12.990 * [backup-simplify]: Simplify (/ -1 1) into -1 12.991 * [backup-simplify]: Simplify (* -1 -1) into 1 12.991 * [backup-simplify]: Simplify (+ 0 1) into 1 12.991 * [backup-simplify]: Simplify (sqrt 1) into 1 12.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.992 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.993 * [backup-simplify]: Simplify (+ 0 0) into 0 12.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.993 * [backup-simplify]: Simplify (sqrt 0) into 0 12.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.994 * [taylor]: Taking taylor expansion of (/ -1 re) in im 12.994 * [taylor]: Taking taylor expansion of -1 in im 12.994 * [backup-simplify]: Simplify -1 into -1 12.994 * [taylor]: Taking taylor expansion of re in im 12.994 * [backup-simplify]: Simplify re into re 12.994 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 12.994 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 12.994 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 12.994 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 12.994 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.995 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.995 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 12.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.995 * [taylor]: Taking taylor expansion of -1 in re 12.995 * [backup-simplify]: Simplify -1 into -1 12.995 * [taylor]: Taking taylor expansion of re in re 12.995 * [backup-simplify]: Simplify 0 into 0 12.995 * [backup-simplify]: Simplify 1 into 1 12.995 * [backup-simplify]: Simplify (/ -1 1) into -1 12.995 * [taylor]: Taking taylor expansion of (/ -1 re) in re 12.995 * [taylor]: Taking taylor expansion of -1 in re 12.995 * [backup-simplify]: Simplify -1 into -1 12.995 * [taylor]: Taking taylor expansion of re in re 12.995 * [backup-simplify]: Simplify 0 into 0 12.995 * [backup-simplify]: Simplify 1 into 1 12.995 * [backup-simplify]: Simplify (/ -1 1) into -1 12.995 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 12.995 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.995 * [taylor]: Taking taylor expansion of -1 in re 12.995 * [backup-simplify]: Simplify -1 into -1 12.995 * [taylor]: Taking taylor expansion of im in re 12.995 * [backup-simplify]: Simplify im into im 12.995 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.995 * [taylor]: Taking taylor expansion of (/ -1 im) in re 12.995 * [taylor]: Taking taylor expansion of -1 in re 12.995 * [backup-simplify]: Simplify -1 into -1 12.995 * [taylor]: Taking taylor expansion of im in re 12.996 * [backup-simplify]: Simplify im into im 12.996 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 12.996 * [backup-simplify]: Simplify (* -1 -1) into 1 12.996 * [backup-simplify]: Simplify (+ 1 0) into 1 12.996 * [backup-simplify]: Simplify (sqrt 1) into 1 12.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 12.998 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 12.998 * [backup-simplify]: Simplify (+ 0 0) into 0 12.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.998 * [backup-simplify]: Simplify (sqrt 0) into 0 12.999 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.999 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 12.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 12.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 12.999 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 12.999 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.000 * [taylor]: Taking taylor expansion of -1 in re 13.000 * [backup-simplify]: Simplify -1 into -1 13.000 * [taylor]: Taking taylor expansion of re in re 13.000 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify 1 into 1 13.000 * [backup-simplify]: Simplify (/ -1 1) into -1 13.000 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.000 * [taylor]: Taking taylor expansion of -1 in re 13.000 * [backup-simplify]: Simplify -1 into -1 13.000 * [taylor]: Taking taylor expansion of re in re 13.000 * [backup-simplify]: Simplify 0 into 0 13.000 * [backup-simplify]: Simplify 1 into 1 13.000 * [backup-simplify]: Simplify (/ -1 1) into -1 13.000 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.000 * [taylor]: Taking taylor expansion of -1 in re 13.000 * [backup-simplify]: Simplify -1 into -1 13.000 * [taylor]: Taking taylor expansion of im in re 13.000 * [backup-simplify]: Simplify im into im 13.000 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.000 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.000 * [taylor]: Taking taylor expansion of -1 in re 13.000 * [backup-simplify]: Simplify -1 into -1 13.000 * [taylor]: Taking taylor expansion of im in re 13.000 * [backup-simplify]: Simplify im into im 13.000 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.001 * [backup-simplify]: Simplify (* -1 -1) into 1 13.001 * [backup-simplify]: Simplify (+ 1 0) into 1 13.001 * [backup-simplify]: Simplify (sqrt 1) into 1 13.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.003 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.003 * [backup-simplify]: Simplify (+ 0 0) into 0 13.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.003 * [backup-simplify]: Simplify (sqrt 0) into 0 13.004 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.004 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.004 * [taylor]: Taking taylor expansion of -1 in re 13.004 * [backup-simplify]: Simplify -1 into -1 13.004 * [taylor]: Taking taylor expansion of re in re 13.004 * [backup-simplify]: Simplify 0 into 0 13.004 * [backup-simplify]: Simplify 1 into 1 13.005 * [backup-simplify]: Simplify (/ -1 1) into -1 13.005 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 13.005 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 13.005 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 13.005 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.005 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.005 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.005 * [taylor]: Taking taylor expansion of -1 in re 13.005 * [backup-simplify]: Simplify -1 into -1 13.005 * [taylor]: Taking taylor expansion of re in re 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 1 into 1 13.005 * [backup-simplify]: Simplify (/ -1 1) into -1 13.005 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.005 * [taylor]: Taking taylor expansion of -1 in re 13.005 * [backup-simplify]: Simplify -1 into -1 13.005 * [taylor]: Taking taylor expansion of re in re 13.005 * [backup-simplify]: Simplify 0 into 0 13.005 * [backup-simplify]: Simplify 1 into 1 13.006 * [backup-simplify]: Simplify (/ -1 1) into -1 13.006 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.006 * [taylor]: Taking taylor expansion of -1 in re 13.006 * [backup-simplify]: Simplify -1 into -1 13.006 * [taylor]: Taking taylor expansion of im in re 13.006 * [backup-simplify]: Simplify im into im 13.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.006 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.006 * [taylor]: Taking taylor expansion of -1 in re 13.006 * [backup-simplify]: Simplify -1 into -1 13.006 * [taylor]: Taking taylor expansion of im in re 13.006 * [backup-simplify]: Simplify im into im 13.006 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.006 * [backup-simplify]: Simplify (* -1 -1) into 1 13.006 * [backup-simplify]: Simplify (+ 1 0) into 1 13.007 * [backup-simplify]: Simplify (sqrt 1) into 1 13.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.008 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.008 * [backup-simplify]: Simplify (+ 0 0) into 0 13.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.009 * [backup-simplify]: Simplify (sqrt 0) into 0 13.010 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.010 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.010 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.010 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.010 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.010 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.010 * [taylor]: Taking taylor expansion of -1 in re 13.010 * [backup-simplify]: Simplify -1 into -1 13.010 * [taylor]: Taking taylor expansion of re in re 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 1 into 1 13.010 * [backup-simplify]: Simplify (/ -1 1) into -1 13.010 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.010 * [taylor]: Taking taylor expansion of -1 in re 13.010 * [backup-simplify]: Simplify -1 into -1 13.010 * [taylor]: Taking taylor expansion of re in re 13.010 * [backup-simplify]: Simplify 0 into 0 13.010 * [backup-simplify]: Simplify 1 into 1 13.011 * [backup-simplify]: Simplify (/ -1 1) into -1 13.011 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.011 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.011 * [taylor]: Taking taylor expansion of -1 in re 13.011 * [backup-simplify]: Simplify -1 into -1 13.011 * [taylor]: Taking taylor expansion of im in re 13.011 * [backup-simplify]: Simplify im into im 13.011 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.011 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.011 * [taylor]: Taking taylor expansion of -1 in re 13.011 * [backup-simplify]: Simplify -1 into -1 13.011 * [taylor]: Taking taylor expansion of im in re 13.011 * [backup-simplify]: Simplify im into im 13.011 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.011 * [backup-simplify]: Simplify (* -1 -1) into 1 13.011 * [backup-simplify]: Simplify (+ 1 0) into 1 13.012 * [backup-simplify]: Simplify (sqrt 1) into 1 13.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.013 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.013 * [backup-simplify]: Simplify (+ 0 0) into 0 13.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.014 * [backup-simplify]: Simplify (sqrt 0) into 0 13.015 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.015 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.015 * [taylor]: Taking taylor expansion of -1 in re 13.015 * [backup-simplify]: Simplify -1 into -1 13.015 * [taylor]: Taking taylor expansion of re in re 13.015 * [backup-simplify]: Simplify 0 into 0 13.015 * [backup-simplify]: Simplify 1 into 1 13.015 * [backup-simplify]: Simplify (/ -1 1) into -1 13.016 * [backup-simplify]: Simplify (* 0 0) into 0 13.016 * [backup-simplify]: Simplify (+ 0 0) into 0 13.016 * [taylor]: Taking taylor expansion of 0 in im 13.016 * [backup-simplify]: Simplify 0 into 0 13.017 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.017 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.017 * [taylor]: Taking taylor expansion of -1 in im 13.017 * [backup-simplify]: Simplify -1 into -1 13.019 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.021 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.022 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.023 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.023 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.023 * [taylor]: Taking taylor expansion of +nan.0 in im 13.023 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.023 * [backup-simplify]: Simplify 0 into 0 13.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.025 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.026 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.027 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.029 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.029 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.030 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.032 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.033 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 13.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.034 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.034 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.034 * [taylor]: Taking taylor expansion of +nan.0 in im 13.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.034 * [backup-simplify]: Simplify -1 into -1 13.034 * [backup-simplify]: Simplify 0 into 0 13.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.036 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.036 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.036 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.036 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.036 * [backup-simplify]: Simplify (+ 0 0) into 0 13.037 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.038 * [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))) 13.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.042 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.042 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.042 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.042 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.043 * [backup-simplify]: Simplify (+ 0 0) into 0 13.043 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.045 * [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))) 13.047 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) +nan.0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0))))) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.049 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 13.049 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 13.049 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 13.049 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 13.049 * [taylor]: Taking taylor expansion of +nan.0 in im 13.049 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.049 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.049 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.049 * [taylor]: Taking taylor expansion of im in im 13.049 * [backup-simplify]: Simplify 0 into 0 13.049 * [backup-simplify]: Simplify 1 into 1 13.049 * [backup-simplify]: Simplify (* 1 1) into 1 13.049 * [backup-simplify]: Simplify (/ 1 1) into 1 13.050 * [taylor]: Taking taylor expansion of (- +nan.0) in im 13.050 * [taylor]: Taking taylor expansion of +nan.0 in im 13.050 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.050 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 13.050 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 13.051 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 13.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.051 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 13.052 * [backup-simplify]: Simplify (+ (- +nan.0) (+ (* (- +nan.0) (pow (* (/ 1 (/ 1 (- im))) (/ 1 (- re))) 2)) (* -1 (* 1 (/ 1 (/ 1 (- re))))))) into (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 13.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 13.052 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 13.052 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in (re im) around 0 13.052 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in im 13.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.052 * [taylor]: Taking taylor expansion of 2.0 in im 13.052 * [backup-simplify]: Simplify 2.0 into 2.0 13.053 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.053 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im 13.053 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 13.053 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 13.053 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 13.053 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 13.053 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.053 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.053 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.054 * [taylor]: Taking taylor expansion of (* re re) in im 13.054 * [taylor]: Taking taylor expansion of re in im 13.054 * [backup-simplify]: Simplify re into re 13.054 * [taylor]: Taking taylor expansion of re in im 13.054 * [backup-simplify]: Simplify re into re 13.054 * [taylor]: Taking taylor expansion of (* im im) in im 13.054 * [taylor]: Taking taylor expansion of im in im 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.054 * [taylor]: Taking taylor expansion of im in im 13.054 * [backup-simplify]: Simplify 0 into 0 13.054 * [backup-simplify]: Simplify 1 into 1 13.054 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.054 * [backup-simplify]: Simplify (* 0 0) into 0 13.054 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.054 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.054 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.055 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.055 * [backup-simplify]: Simplify (+ 0 0) into 0 13.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.055 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 13.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 13.055 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 13.055 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.055 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.055 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.055 * [taylor]: Taking taylor expansion of (* re re) in im 13.055 * [taylor]: Taking taylor expansion of re in im 13.055 * [backup-simplify]: Simplify re into re 13.055 * [taylor]: Taking taylor expansion of re in im 13.055 * [backup-simplify]: Simplify re into re 13.055 * [taylor]: Taking taylor expansion of (* im im) in im 13.055 * [taylor]: Taking taylor expansion of im in im 13.055 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify 1 into 1 13.055 * [taylor]: Taking taylor expansion of im in im 13.055 * [backup-simplify]: Simplify 0 into 0 13.055 * [backup-simplify]: Simplify 1 into 1 13.055 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.056 * [backup-simplify]: Simplify (* 0 0) into 0 13.056 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.056 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.056 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.056 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.056 * [backup-simplify]: Simplify (+ 0 0) into 0 13.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.057 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 13.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 13.057 * [taylor]: Taking taylor expansion of re in im 13.057 * [backup-simplify]: Simplify re into re 13.057 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re 13.057 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 13.057 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 13.057 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0 13.057 * [backup-simplify]: Simplify (+ 0 0) into 0 13.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 13.057 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re 13.057 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.057 * [taylor]: Taking taylor expansion of 2.0 in re 13.057 * [backup-simplify]: Simplify 2.0 into 2.0 13.058 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.058 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 13.058 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 13.058 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 13.058 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 13.058 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.058 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.058 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.058 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.058 * [taylor]: Taking taylor expansion of (* re re) in re 13.058 * [taylor]: Taking taylor expansion of re in re 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 1 into 1 13.058 * [taylor]: Taking taylor expansion of re in re 13.058 * [backup-simplify]: Simplify 0 into 0 13.058 * [backup-simplify]: Simplify 1 into 1 13.058 * [taylor]: Taking taylor expansion of (* im im) in re 13.058 * [taylor]: Taking taylor expansion of im in re 13.058 * [backup-simplify]: Simplify im into im 13.058 * [taylor]: Taking taylor expansion of im in re 13.058 * [backup-simplify]: Simplify im into im 13.059 * [backup-simplify]: Simplify (* 0 0) into 0 13.059 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.059 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.059 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.059 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.059 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.060 * [backup-simplify]: Simplify (+ 0 0) into 0 13.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.060 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.060 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.060 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.060 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.060 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.060 * [taylor]: Taking taylor expansion of (* re re) in re 13.060 * [taylor]: Taking taylor expansion of re in re 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.060 * [taylor]: Taking taylor expansion of re in re 13.060 * [backup-simplify]: Simplify 0 into 0 13.060 * [backup-simplify]: Simplify 1 into 1 13.060 * [taylor]: Taking taylor expansion of (* im im) in re 13.060 * [taylor]: Taking taylor expansion of im in re 13.060 * [backup-simplify]: Simplify im into im 13.060 * [taylor]: Taking taylor expansion of im in re 13.060 * [backup-simplify]: Simplify im into im 13.060 * [backup-simplify]: Simplify (* 0 0) into 0 13.060 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.061 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.061 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.061 * [backup-simplify]: Simplify (+ 0 0) into 0 13.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.062 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.062 * [taylor]: Taking taylor expansion of re in re 13.062 * [backup-simplify]: Simplify 0 into 0 13.062 * [backup-simplify]: Simplify 1 into 1 13.062 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 13.062 * [backup-simplify]: Simplify (+ im 0) into im 13.062 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.062 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 13.062 * [backup-simplify]: Simplify (+ 0 1) into 1 13.062 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 13.062 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re 13.062 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.062 * [taylor]: Taking taylor expansion of 2.0 in re 13.062 * [backup-simplify]: Simplify 2.0 into 2.0 13.062 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.063 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 13.063 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 13.063 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 13.063 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 13.063 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.063 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.063 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.063 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.063 * [taylor]: Taking taylor expansion of (* re re) in re 13.063 * [taylor]: Taking taylor expansion of re in re 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 1 into 1 13.063 * [taylor]: Taking taylor expansion of re in re 13.063 * [backup-simplify]: Simplify 0 into 0 13.063 * [backup-simplify]: Simplify 1 into 1 13.063 * [taylor]: Taking taylor expansion of (* im im) in re 13.063 * [taylor]: Taking taylor expansion of im in re 13.063 * [backup-simplify]: Simplify im into im 13.063 * [taylor]: Taking taylor expansion of im in re 13.063 * [backup-simplify]: Simplify im into im 13.064 * [backup-simplify]: Simplify (* 0 0) into 0 13.064 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.064 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.064 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.064 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.064 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.065 * [backup-simplify]: Simplify (+ 0 0) into 0 13.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.065 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.065 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 13.065 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.065 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.065 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.065 * [taylor]: Taking taylor expansion of (* re re) in re 13.065 * [taylor]: Taking taylor expansion of re in re 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.065 * [taylor]: Taking taylor expansion of re in re 13.065 * [backup-simplify]: Simplify 0 into 0 13.065 * [backup-simplify]: Simplify 1 into 1 13.065 * [taylor]: Taking taylor expansion of (* im im) in re 13.065 * [taylor]: Taking taylor expansion of im in re 13.065 * [backup-simplify]: Simplify im into im 13.065 * [taylor]: Taking taylor expansion of im in re 13.065 * [backup-simplify]: Simplify im into im 13.065 * [backup-simplify]: Simplify (* 0 0) into 0 13.065 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.065 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.066 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.066 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.066 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.066 * [backup-simplify]: Simplify (+ 0 0) into 0 13.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.066 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 13.066 * [taylor]: Taking taylor expansion of re in re 13.066 * [backup-simplify]: Simplify 0 into 0 13.067 * [backup-simplify]: Simplify 1 into 1 13.067 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 13.067 * [backup-simplify]: Simplify (+ im 0) into im 13.067 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 13.067 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 13.067 * [backup-simplify]: Simplify (+ 0 1) into 1 13.067 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 13.067 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 13.067 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 13.067 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.067 * [taylor]: Taking taylor expansion of 2.0 in im 13.067 * [backup-simplify]: Simplify 2.0 into 2.0 13.068 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.068 * [taylor]: Taking taylor expansion of (sqrt im) in im 13.068 * [taylor]: Taking taylor expansion of im in im 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify (sqrt 0) into 0 13.070 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.070 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.070 * [backup-simplify]: Simplify 0 into 0 13.070 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 13.070 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 13.070 * [taylor]: Taking taylor expansion of 1/2 in im 13.070 * [backup-simplify]: Simplify 1/2 into 1/2 13.070 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 13.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.070 * [taylor]: Taking taylor expansion of 2.0 in im 13.070 * [backup-simplify]: Simplify 2.0 into 2.0 13.071 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 13.071 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.071 * [taylor]: Taking taylor expansion of im in im 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 1 into 1 13.071 * [backup-simplify]: Simplify (/ 1 1) into 1 13.072 * [backup-simplify]: Simplify (sqrt 0) into 0 13.072 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.074 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.074 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.076 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.077 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.080 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.081 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.082 * [backup-simplify]: Simplify (+ 1 0) into 1 13.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.083 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 13.084 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.084 * [backup-simplify]: Simplify (+ 1 0) into 1 13.085 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.086 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 13.087 * [backup-simplify]: Simplify (+ (* (sqrt im) (* 1/4 (sqrt (/ 1 (pow im 3))))) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow im 3)))) (sqrt im)))) into (* 1/2 (/ 1 im)) 13.087 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 13.088 * [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)))) 13.089 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.090 * [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))))) 13.090 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 13.090 * [taylor]: Taking taylor expansion of 1/8 in im 13.090 * [backup-simplify]: Simplify 1/8 into 1/8 13.090 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 13.090 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.090 * [taylor]: Taking taylor expansion of 2.0 in im 13.090 * [backup-simplify]: Simplify 2.0 into 2.0 13.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.091 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 13.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 13.091 * [taylor]: Taking taylor expansion of (pow im 3) in im 13.091 * [taylor]: Taking taylor expansion of im in im 13.091 * [backup-simplify]: Simplify 0 into 0 13.091 * [backup-simplify]: Simplify 1 into 1 13.092 * [backup-simplify]: Simplify (* 1 1) into 1 13.092 * [backup-simplify]: Simplify (* 1 1) into 1 13.092 * [backup-simplify]: Simplify (/ 1 1) into 1 13.093 * [backup-simplify]: Simplify (sqrt 0) into 0 13.094 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.101 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.104 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 13.106 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.107 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.112 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 13.113 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.116 * [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))))))) 13.116 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) 13.116 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in (re im) around 0 13.116 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in im 13.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.116 * [taylor]: Taking taylor expansion of 2.0 in im 13.116 * [backup-simplify]: Simplify 2.0 into 2.0 13.117 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.117 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im 13.117 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 13.117 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 13.117 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 13.117 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 13.117 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.117 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.117 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.117 * [taylor]: Taking taylor expansion of re in im 13.117 * [backup-simplify]: Simplify re into re 13.117 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.118 * [taylor]: Taking taylor expansion of re in im 13.118 * [backup-simplify]: Simplify re into re 13.118 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.118 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.118 * [taylor]: Taking taylor expansion of im in im 13.118 * [backup-simplify]: Simplify 0 into 0 13.118 * [backup-simplify]: Simplify 1 into 1 13.118 * [backup-simplify]: Simplify (/ 1 1) into 1 13.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.118 * [taylor]: Taking taylor expansion of im in im 13.118 * [backup-simplify]: Simplify 0 into 0 13.118 * [backup-simplify]: Simplify 1 into 1 13.118 * [backup-simplify]: Simplify (/ 1 1) into 1 13.118 * [backup-simplify]: Simplify (* 1 1) into 1 13.119 * [backup-simplify]: Simplify (+ 0 1) into 1 13.119 * [backup-simplify]: Simplify (sqrt 1) into 1 13.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.121 * [backup-simplify]: Simplify (+ 0 0) into 0 13.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.121 * [backup-simplify]: Simplify (sqrt 0) into 0 13.122 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.122 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 13.122 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.122 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.122 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.122 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.122 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.122 * [taylor]: Taking taylor expansion of re in im 13.122 * [backup-simplify]: Simplify re into re 13.122 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.122 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.123 * [taylor]: Taking taylor expansion of re in im 13.123 * [backup-simplify]: Simplify re into re 13.123 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.123 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.123 * [taylor]: Taking taylor expansion of im in im 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [backup-simplify]: Simplify (/ 1 1) into 1 13.123 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.123 * [taylor]: Taking taylor expansion of im in im 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.123 * [backup-simplify]: Simplify (/ 1 1) into 1 13.123 * [backup-simplify]: Simplify (* 1 1) into 1 13.124 * [backup-simplify]: Simplify (+ 0 1) into 1 13.124 * [backup-simplify]: Simplify (sqrt 1) into 1 13.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.125 * [backup-simplify]: Simplify (+ 0 0) into 0 13.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.126 * [backup-simplify]: Simplify (sqrt 0) into 0 13.127 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.127 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.127 * [taylor]: Taking taylor expansion of re in im 13.127 * [backup-simplify]: Simplify re into re 13.127 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.127 * [backup-simplify]: Simplify (* 0 0) into 0 13.127 * [backup-simplify]: Simplify (+ 0 0) into 0 13.128 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.128 * [backup-simplify]: Simplify (+ 0 0) into 0 13.130 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.132 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.133 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.133 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0) 13.133 * [backup-simplify]: Simplify (sqrt (- (/ 1 re) +nan.0)) into (sqrt (- (/ 1 re) +nan.0)) 13.133 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 13.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.135 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 13.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 13.137 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 13.137 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 13.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.139 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 13.140 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 13.141 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 13.142 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0) 13.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 13.142 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.143 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 re) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 re) +nan.0)))) 13.143 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 13.143 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.143 * [taylor]: Taking taylor expansion of 2.0 in re 13.143 * [backup-simplify]: Simplify 2.0 into 2.0 13.143 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.144 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 13.144 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 13.144 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 13.144 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 13.144 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.144 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.144 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.144 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.144 * [taylor]: Taking taylor expansion of re in re 13.144 * [backup-simplify]: Simplify 0 into 0 13.144 * [backup-simplify]: Simplify 1 into 1 13.144 * [backup-simplify]: Simplify (/ 1 1) into 1 13.144 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.144 * [taylor]: Taking taylor expansion of re in re 13.144 * [backup-simplify]: Simplify 0 into 0 13.144 * [backup-simplify]: Simplify 1 into 1 13.144 * [backup-simplify]: Simplify (/ 1 1) into 1 13.144 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.145 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.145 * [taylor]: Taking taylor expansion of im in re 13.145 * [backup-simplify]: Simplify im into im 13.145 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.145 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.145 * [taylor]: Taking taylor expansion of im in re 13.145 * [backup-simplify]: Simplify im into im 13.145 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.145 * [backup-simplify]: Simplify (* 1 1) into 1 13.145 * [backup-simplify]: Simplify (+ 1 0) into 1 13.145 * [backup-simplify]: Simplify (sqrt 1) into 1 13.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.147 * [backup-simplify]: Simplify (+ 0 0) into 0 13.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.148 * [backup-simplify]: Simplify (sqrt 0) into 0 13.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.149 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.149 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.149 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.149 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.149 * [taylor]: Taking taylor expansion of re in re 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [backup-simplify]: Simplify (/ 1 1) into 1 13.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.149 * [taylor]: Taking taylor expansion of re in re 13.149 * [backup-simplify]: Simplify 0 into 0 13.149 * [backup-simplify]: Simplify 1 into 1 13.149 * [backup-simplify]: Simplify (/ 1 1) into 1 13.150 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.150 * [taylor]: Taking taylor expansion of im in re 13.150 * [backup-simplify]: Simplify im into im 13.150 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.150 * [taylor]: Taking taylor expansion of im in re 13.150 * [backup-simplify]: Simplify im into im 13.150 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.150 * [backup-simplify]: Simplify (* 1 1) into 1 13.150 * [backup-simplify]: Simplify (+ 1 0) into 1 13.150 * [backup-simplify]: Simplify (sqrt 1) into 1 13.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.152 * [backup-simplify]: Simplify (+ 0 0) into 0 13.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.153 * [backup-simplify]: Simplify (sqrt 0) into 0 13.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.154 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.154 * [taylor]: Taking taylor expansion of re in re 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 1 into 1 13.154 * [backup-simplify]: Simplify (/ 1 1) into 1 13.155 * [backup-simplify]: Simplify (* 0 0) into 0 13.155 * [backup-simplify]: Simplify (+ 0 0) into 0 13.156 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.156 * [backup-simplify]: Simplify (+ 0 1) into 1 13.157 * [backup-simplify]: Simplify (sqrt 0) into 0 13.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.158 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)))) in re 13.158 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.158 * [taylor]: Taking taylor expansion of 2.0 in re 13.158 * [backup-simplify]: Simplify 2.0 into 2.0 13.158 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.159 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 13.159 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 13.159 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 13.159 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 13.160 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.160 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.160 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.160 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.160 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.160 * [taylor]: Taking taylor expansion of re in re 13.160 * [backup-simplify]: Simplify 0 into 0 13.160 * [backup-simplify]: Simplify 1 into 1 13.160 * [backup-simplify]: Simplify (/ 1 1) into 1 13.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.160 * [taylor]: Taking taylor expansion of re in re 13.160 * [backup-simplify]: Simplify 0 into 0 13.160 * [backup-simplify]: Simplify 1 into 1 13.161 * [backup-simplify]: Simplify (/ 1 1) into 1 13.161 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.161 * [taylor]: Taking taylor expansion of im in re 13.161 * [backup-simplify]: Simplify im into im 13.161 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.161 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.161 * [taylor]: Taking taylor expansion of im in re 13.161 * [backup-simplify]: Simplify im into im 13.161 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.161 * [backup-simplify]: Simplify (* 1 1) into 1 13.162 * [backup-simplify]: Simplify (+ 1 0) into 1 13.162 * [backup-simplify]: Simplify (sqrt 1) into 1 13.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.166 * [backup-simplify]: Simplify (sqrt 0) into 0 13.167 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.167 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 13.167 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.167 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.167 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.167 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.167 * [taylor]: Taking taylor expansion of re in re 13.167 * [backup-simplify]: Simplify 0 into 0 13.167 * [backup-simplify]: Simplify 1 into 1 13.168 * [backup-simplify]: Simplify (/ 1 1) into 1 13.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.168 * [taylor]: Taking taylor expansion of re in re 13.168 * [backup-simplify]: Simplify 0 into 0 13.168 * [backup-simplify]: Simplify 1 into 1 13.168 * [backup-simplify]: Simplify (/ 1 1) into 1 13.168 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.169 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.169 * [taylor]: Taking taylor expansion of im in re 13.169 * [backup-simplify]: Simplify im into im 13.169 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.169 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.169 * [taylor]: Taking taylor expansion of im in re 13.169 * [backup-simplify]: Simplify im into im 13.169 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.169 * [backup-simplify]: Simplify (* 1 1) into 1 13.170 * [backup-simplify]: Simplify (+ 1 0) into 1 13.170 * [backup-simplify]: Simplify (sqrt 1) into 1 13.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.173 * [backup-simplify]: Simplify (+ 0 0) into 0 13.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.173 * [backup-simplify]: Simplify (sqrt 0) into 0 13.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.174 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.174 * [taylor]: Taking taylor expansion of re in re 13.174 * [backup-simplify]: Simplify 0 into 0 13.174 * [backup-simplify]: Simplify 1 into 1 13.174 * [backup-simplify]: Simplify (/ 1 1) into 1 13.175 * [backup-simplify]: Simplify (* 0 0) into 0 13.175 * [backup-simplify]: Simplify (+ 0 0) into 0 13.175 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.176 * [backup-simplify]: Simplify (+ 0 1) into 1 13.176 * [backup-simplify]: Simplify (sqrt 0) into 0 13.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.177 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.177 * [taylor]: Taking taylor expansion of 0 in im 13.177 * [backup-simplify]: Simplify 0 into 0 13.177 * [backup-simplify]: Simplify 0 into 0 13.178 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.178 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 13.178 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 13.178 * [taylor]: Taking taylor expansion of +nan.0 in im 13.178 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.178 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.178 * [taylor]: Taking taylor expansion of 2.0 in im 13.178 * [backup-simplify]: Simplify 2.0 into 2.0 13.179 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.180 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.180 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.181 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.181 * [backup-simplify]: Simplify 0 into 0 13.183 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.185 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.188 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.190 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.192 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.194 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 13.194 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 13.194 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 13.194 * [taylor]: Taking taylor expansion of +nan.0 in im 13.194 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.194 * [taylor]: Taking taylor expansion of 2.0 in im 13.194 * [backup-simplify]: Simplify 2.0 into 2.0 13.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.195 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.196 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.197 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.197 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 13.198 * [backup-simplify]: Simplify (- 0) into 0 13.198 * [backup-simplify]: Simplify 0 into 0 13.198 * [backup-simplify]: Simplify 0 into 0 13.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.200 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.200 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.201 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.202 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.204 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.205 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.206 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.207 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 13.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.208 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.212 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.216 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0))) 13.216 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 13.216 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 13.216 * [taylor]: Taking taylor expansion of +nan.0 in im 13.216 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.216 * [taylor]: Taking taylor expansion of 2.0 in im 13.216 * [backup-simplify]: Simplify 2.0 into 2.0 13.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.218 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.220 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.221 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.224 * [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)))))))) 13.225 * [backup-simplify]: Simplify (sqrt (* (fma (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) 13.225 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in (re im) around 0 13.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in im 13.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.225 * [taylor]: Taking taylor expansion of 2.0 in im 13.225 * [backup-simplify]: Simplify 2.0 into 2.0 13.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.225 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im 13.225 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 13.226 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 13.226 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 13.226 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 13.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.226 * [taylor]: Taking taylor expansion of -1 in im 13.226 * [backup-simplify]: Simplify -1 into -1 13.226 * [taylor]: Taking taylor expansion of re in im 13.226 * [backup-simplify]: Simplify re into re 13.226 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.226 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.226 * [taylor]: Taking taylor expansion of -1 in im 13.226 * [backup-simplify]: Simplify -1 into -1 13.226 * [taylor]: Taking taylor expansion of re in im 13.226 * [backup-simplify]: Simplify re into re 13.226 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.226 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.226 * [taylor]: Taking taylor expansion of -1 in im 13.226 * [backup-simplify]: Simplify -1 into -1 13.226 * [taylor]: Taking taylor expansion of im in im 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 1 into 1 13.226 * [backup-simplify]: Simplify (/ -1 1) into -1 13.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.226 * [taylor]: Taking taylor expansion of -1 in im 13.226 * [backup-simplify]: Simplify -1 into -1 13.226 * [taylor]: Taking taylor expansion of im in im 13.226 * [backup-simplify]: Simplify 0 into 0 13.227 * [backup-simplify]: Simplify 1 into 1 13.227 * [backup-simplify]: Simplify (/ -1 1) into -1 13.227 * [backup-simplify]: Simplify (* -1 -1) into 1 13.227 * [backup-simplify]: Simplify (+ 0 1) into 1 13.227 * [backup-simplify]: Simplify (sqrt 1) into 1 13.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.229 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.229 * [backup-simplify]: Simplify (+ 0 0) into 0 13.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.230 * [backup-simplify]: Simplify (sqrt 0) into 0 13.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.231 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 13.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.231 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.231 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.231 * [taylor]: Taking taylor expansion of -1 in im 13.231 * [backup-simplify]: Simplify -1 into -1 13.231 * [taylor]: Taking taylor expansion of re in im 13.231 * [backup-simplify]: Simplify re into re 13.231 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.231 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.231 * [taylor]: Taking taylor expansion of -1 in im 13.231 * [backup-simplify]: Simplify -1 into -1 13.231 * [taylor]: Taking taylor expansion of re in im 13.231 * [backup-simplify]: Simplify re into re 13.231 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.231 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.231 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.231 * [taylor]: Taking taylor expansion of -1 in im 13.231 * [backup-simplify]: Simplify -1 into -1 13.231 * [taylor]: Taking taylor expansion of im in im 13.231 * [backup-simplify]: Simplify 0 into 0 13.231 * [backup-simplify]: Simplify 1 into 1 13.232 * [backup-simplify]: Simplify (/ -1 1) into -1 13.232 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.232 * [taylor]: Taking taylor expansion of -1 in im 13.232 * [backup-simplify]: Simplify -1 into -1 13.232 * [taylor]: Taking taylor expansion of im in im 13.232 * [backup-simplify]: Simplify 0 into 0 13.232 * [backup-simplify]: Simplify 1 into 1 13.232 * [backup-simplify]: Simplify (/ -1 1) into -1 13.232 * [backup-simplify]: Simplify (* -1 -1) into 1 13.232 * [backup-simplify]: Simplify (+ 0 1) into 1 13.233 * [backup-simplify]: Simplify (sqrt 1) into 1 13.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.234 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.234 * [backup-simplify]: Simplify (+ 0 0) into 0 13.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.235 * [backup-simplify]: Simplify (sqrt 0) into 0 13.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.236 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.236 * [taylor]: Taking taylor expansion of -1 in im 13.236 * [backup-simplify]: Simplify -1 into -1 13.236 * [taylor]: Taking taylor expansion of re in im 13.236 * [backup-simplify]: Simplify re into re 13.236 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.236 * [backup-simplify]: Simplify (* 0 0) into 0 13.236 * [backup-simplify]: Simplify (+ 0 0) into 0 13.237 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.237 * [backup-simplify]: Simplify (+ 0 0) into 0 13.239 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.240 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.242 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.242 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0))) 13.242 * [backup-simplify]: Simplify (sqrt (- (+ (/ 1 re) (- +nan.0)))) into (sqrt (- (+ (/ 1 re) (- +nan.0)))) 13.243 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 13.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.244 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.244 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 13.246 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 13.248 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 13.248 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 13.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.251 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.251 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 13.252 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 13.255 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow re 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 13.256 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) +nan.0)) 0)))) into (- +nan.0) 13.256 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 13.257 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.258 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (/ 1 re) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (/ 1 re) (- +nan.0))))) 13.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 13.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.258 * [taylor]: Taking taylor expansion of 2.0 in re 13.258 * [backup-simplify]: Simplify 2.0 into 2.0 13.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.259 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 13.259 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 13.259 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 13.259 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 13.260 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.260 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.260 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.260 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.260 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.260 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.260 * [taylor]: Taking taylor expansion of -1 in re 13.260 * [backup-simplify]: Simplify -1 into -1 13.260 * [taylor]: Taking taylor expansion of re in re 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify 1 into 1 13.260 * [backup-simplify]: Simplify (/ -1 1) into -1 13.260 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.260 * [taylor]: Taking taylor expansion of -1 in re 13.260 * [backup-simplify]: Simplify -1 into -1 13.261 * [taylor]: Taking taylor expansion of re in re 13.261 * [backup-simplify]: Simplify 0 into 0 13.261 * [backup-simplify]: Simplify 1 into 1 13.261 * [backup-simplify]: Simplify (/ -1 1) into -1 13.261 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.261 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.261 * [taylor]: Taking taylor expansion of -1 in re 13.261 * [backup-simplify]: Simplify -1 into -1 13.261 * [taylor]: Taking taylor expansion of im in re 13.261 * [backup-simplify]: Simplify im into im 13.261 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.261 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.261 * [taylor]: Taking taylor expansion of -1 in re 13.261 * [backup-simplify]: Simplify -1 into -1 13.261 * [taylor]: Taking taylor expansion of im in re 13.261 * [backup-simplify]: Simplify im into im 13.261 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.262 * [backup-simplify]: Simplify (* -1 -1) into 1 13.262 * [backup-simplify]: Simplify (+ 1 0) into 1 13.263 * [backup-simplify]: Simplify (sqrt 1) into 1 13.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.265 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.265 * [backup-simplify]: Simplify (+ 0 0) into 0 13.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.266 * [backup-simplify]: Simplify (sqrt 0) into 0 13.268 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.268 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.268 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.268 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.268 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.268 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.268 * [taylor]: Taking taylor expansion of -1 in re 13.268 * [backup-simplify]: Simplify -1 into -1 13.268 * [taylor]: Taking taylor expansion of re in re 13.268 * [backup-simplify]: Simplify 0 into 0 13.268 * [backup-simplify]: Simplify 1 into 1 13.269 * [backup-simplify]: Simplify (/ -1 1) into -1 13.269 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.269 * [taylor]: Taking taylor expansion of -1 in re 13.269 * [backup-simplify]: Simplify -1 into -1 13.269 * [taylor]: Taking taylor expansion of re in re 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 1 into 1 13.269 * [backup-simplify]: Simplify (/ -1 1) into -1 13.269 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.269 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.269 * [taylor]: Taking taylor expansion of -1 in re 13.269 * [backup-simplify]: Simplify -1 into -1 13.269 * [taylor]: Taking taylor expansion of im in re 13.270 * [backup-simplify]: Simplify im into im 13.270 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.270 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.270 * [taylor]: Taking taylor expansion of -1 in re 13.270 * [backup-simplify]: Simplify -1 into -1 13.270 * [taylor]: Taking taylor expansion of im in re 13.270 * [backup-simplify]: Simplify im into im 13.270 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.270 * [backup-simplify]: Simplify (* -1 -1) into 1 13.271 * [backup-simplify]: Simplify (+ 1 0) into 1 13.271 * [backup-simplify]: Simplify (sqrt 1) into 1 13.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.274 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.274 * [backup-simplify]: Simplify (+ 0 0) into 0 13.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.275 * [backup-simplify]: Simplify (sqrt 0) into 0 13.276 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.276 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.276 * [taylor]: Taking taylor expansion of -1 in re 13.277 * [backup-simplify]: Simplify -1 into -1 13.277 * [taylor]: Taking taylor expansion of re in re 13.277 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.277 * [backup-simplify]: Simplify (/ -1 1) into -1 13.277 * [backup-simplify]: Simplify (* 0 0) into 0 13.278 * [backup-simplify]: Simplify (+ 0 0) into 0 13.278 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.279 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.279 * [backup-simplify]: Simplify (sqrt 0) into 0 13.281 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.281 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)))) in re 13.281 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 13.281 * [taylor]: Taking taylor expansion of 2.0 in re 13.281 * [backup-simplify]: Simplify 2.0 into 2.0 13.281 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.282 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 13.282 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 13.282 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 13.282 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 13.283 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.283 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.283 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.283 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.283 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.283 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.283 * [taylor]: Taking taylor expansion of -1 in re 13.283 * [backup-simplify]: Simplify -1 into -1 13.283 * [taylor]: Taking taylor expansion of re in re 13.283 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify 1 into 1 13.283 * [backup-simplify]: Simplify (/ -1 1) into -1 13.283 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.283 * [taylor]: Taking taylor expansion of -1 in re 13.283 * [backup-simplify]: Simplify -1 into -1 13.283 * [taylor]: Taking taylor expansion of re in re 13.283 * [backup-simplify]: Simplify 0 into 0 13.283 * [backup-simplify]: Simplify 1 into 1 13.284 * [backup-simplify]: Simplify (/ -1 1) into -1 13.284 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.284 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.284 * [taylor]: Taking taylor expansion of -1 in re 13.284 * [backup-simplify]: Simplify -1 into -1 13.284 * [taylor]: Taking taylor expansion of im in re 13.284 * [backup-simplify]: Simplify im into im 13.284 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.284 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.284 * [taylor]: Taking taylor expansion of -1 in re 13.284 * [backup-simplify]: Simplify -1 into -1 13.284 * [taylor]: Taking taylor expansion of im in re 13.284 * [backup-simplify]: Simplify im into im 13.284 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.285 * [backup-simplify]: Simplify (* -1 -1) into 1 13.285 * [backup-simplify]: Simplify (+ 1 0) into 1 13.285 * [backup-simplify]: Simplify (sqrt 1) into 1 13.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.288 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.288 * [backup-simplify]: Simplify (+ 0 0) into 0 13.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.289 * [backup-simplify]: Simplify (sqrt 0) into 0 13.291 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.291 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 13.291 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.291 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.291 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.291 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.291 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.291 * [taylor]: Taking taylor expansion of -1 in re 13.291 * [backup-simplify]: Simplify -1 into -1 13.291 * [taylor]: Taking taylor expansion of re in re 13.291 * [backup-simplify]: Simplify 0 into 0 13.291 * [backup-simplify]: Simplify 1 into 1 13.292 * [backup-simplify]: Simplify (/ -1 1) into -1 13.292 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.292 * [taylor]: Taking taylor expansion of -1 in re 13.292 * [backup-simplify]: Simplify -1 into -1 13.292 * [taylor]: Taking taylor expansion of re in re 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 1 into 1 13.292 * [backup-simplify]: Simplify (/ -1 1) into -1 13.292 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.292 * [taylor]: Taking taylor expansion of -1 in re 13.292 * [backup-simplify]: Simplify -1 into -1 13.292 * [taylor]: Taking taylor expansion of im in re 13.292 * [backup-simplify]: Simplify im into im 13.292 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.292 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.292 * [taylor]: Taking taylor expansion of -1 in re 13.292 * [backup-simplify]: Simplify -1 into -1 13.292 * [taylor]: Taking taylor expansion of im in re 13.292 * [backup-simplify]: Simplify im into im 13.293 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.293 * [backup-simplify]: Simplify (* -1 -1) into 1 13.293 * [backup-simplify]: Simplify (+ 1 0) into 1 13.294 * [backup-simplify]: Simplify (sqrt 1) into 1 13.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.296 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.296 * [backup-simplify]: Simplify (+ 0 0) into 0 13.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.297 * [backup-simplify]: Simplify (sqrt 0) into 0 13.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 13.299 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.299 * [taylor]: Taking taylor expansion of -1 in re 13.299 * [backup-simplify]: Simplify -1 into -1 13.299 * [taylor]: Taking taylor expansion of re in re 13.299 * [backup-simplify]: Simplify 0 into 0 13.299 * [backup-simplify]: Simplify 1 into 1 13.299 * [backup-simplify]: Simplify (/ -1 1) into -1 13.300 * [backup-simplify]: Simplify (* 0 0) into 0 13.300 * [backup-simplify]: Simplify (+ 0 0) into 0 13.301 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 13.301 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.302 * [backup-simplify]: Simplify (sqrt 0) into 0 13.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 13.306 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 13.307 * [taylor]: Taking taylor expansion of 0 in im 13.307 * [backup-simplify]: Simplify 0 into 0 13.307 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 13.309 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 13.309 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 13.309 * [taylor]: Taking taylor expansion of +nan.0 in im 13.309 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.309 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.309 * [taylor]: Taking taylor expansion of 2.0 in im 13.309 * [backup-simplify]: Simplify 2.0 into 2.0 13.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.311 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.313 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.314 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.314 * [backup-simplify]: Simplify 0 into 0 13.317 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.320 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.323 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 13.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.325 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.328 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 13.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 13.331 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 13.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 13.331 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 13.331 * [taylor]: Taking taylor expansion of +nan.0 in im 13.331 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.331 * [taylor]: Taking taylor expansion of 2.0 in im 13.331 * [backup-simplify]: Simplify 2.0 into 2.0 13.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.332 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.333 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.335 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 13.335 * [backup-simplify]: Simplify (- 0) into 0 13.335 * [backup-simplify]: Simplify 0 into 0 13.335 * [backup-simplify]: Simplify 0 into 0 13.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.337 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.337 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.338 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.339 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.341 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.341 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.342 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.343 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 13.344 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0)))) into (- +nan.0) 13.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.345 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 13.347 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 13.348 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 13.350 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0))) 13.350 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 13.350 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 13.350 * [taylor]: Taking taylor expansion of +nan.0 in im 13.350 * [backup-simplify]: Simplify +nan.0 into +nan.0 13.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 13.350 * [taylor]: Taking taylor expansion of 2.0 in im 13.350 * [backup-simplify]: Simplify 2.0 into 2.0 13.350 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 13.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 13.351 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 13.352 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.353 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 13.356 * [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)))))))) 13.356 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 13.356 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 13.356 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 13.356 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.356 * [taylor]: Taking taylor expansion of (* re re) in im 13.356 * [taylor]: Taking taylor expansion of re in im 13.356 * [backup-simplify]: Simplify re into re 13.356 * [taylor]: Taking taylor expansion of re in im 13.356 * [backup-simplify]: Simplify re into re 13.356 * [taylor]: Taking taylor expansion of (* im im) in im 13.356 * [taylor]: Taking taylor expansion of im in im 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 1 into 1 13.356 * [taylor]: Taking taylor expansion of im in im 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 1 into 1 13.356 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.357 * [backup-simplify]: Simplify (* 0 0) into 0 13.357 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.357 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.357 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.357 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.357 * [backup-simplify]: Simplify (+ 0 0) into 0 13.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.358 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.358 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.358 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.358 * [taylor]: Taking taylor expansion of (* re re) in re 13.358 * [taylor]: Taking taylor expansion of re in re 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.358 * [taylor]: Taking taylor expansion of re in re 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.358 * [taylor]: Taking taylor expansion of (* im im) in re 13.358 * [taylor]: Taking taylor expansion of im in re 13.358 * [backup-simplify]: Simplify im into im 13.358 * [taylor]: Taking taylor expansion of im in re 13.358 * [backup-simplify]: Simplify im into im 13.358 * [backup-simplify]: Simplify (* 0 0) into 0 13.358 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.358 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.358 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.359 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.359 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.359 * [backup-simplify]: Simplify (+ 0 0) into 0 13.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.359 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.359 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.359 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.359 * [taylor]: Taking taylor expansion of (* re re) in re 13.359 * [taylor]: Taking taylor expansion of re in re 13.359 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify 1 into 1 13.359 * [taylor]: Taking taylor expansion of re in re 13.359 * [backup-simplify]: Simplify 0 into 0 13.359 * [backup-simplify]: Simplify 1 into 1 13.359 * [taylor]: Taking taylor expansion of (* im im) in re 13.359 * [taylor]: Taking taylor expansion of im in re 13.359 * [backup-simplify]: Simplify im into im 13.359 * [taylor]: Taking taylor expansion of im in re 13.359 * [backup-simplify]: Simplify im into im 13.360 * [backup-simplify]: Simplify (* 0 0) into 0 13.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.360 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.360 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.360 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.361 * [backup-simplify]: Simplify (+ 0 0) into 0 13.361 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.361 * [taylor]: Taking taylor expansion of im in im 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [taylor]: Taking taylor expansion of 0 in im 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.362 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.362 * [backup-simplify]: Simplify (+ 1 0) into 1 13.362 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.362 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.362 * [taylor]: Taking taylor expansion of 1/2 in im 13.362 * [backup-simplify]: Simplify 1/2 into 1/2 13.362 * [taylor]: Taking taylor expansion of im in im 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify 1 into 1 13.363 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.364 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.365 * [backup-simplify]: Simplify (+ 0 0) into 0 13.365 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.365 * [taylor]: Taking taylor expansion of 0 in im 13.365 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.365 * [backup-simplify]: Simplify 0 into 0 13.365 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.366 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 13.366 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 13.366 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.366 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.366 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.366 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.366 * [taylor]: Taking taylor expansion of re in im 13.366 * [backup-simplify]: Simplify re into re 13.366 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.366 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.366 * [taylor]: Taking taylor expansion of re in im 13.366 * [backup-simplify]: Simplify re into re 13.366 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.366 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.366 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.366 * [taylor]: Taking taylor expansion of im in im 13.366 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify 1 into 1 13.366 * [backup-simplify]: Simplify (/ 1 1) into 1 13.366 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.366 * [taylor]: Taking taylor expansion of im in im 13.366 * [backup-simplify]: Simplify 0 into 0 13.366 * [backup-simplify]: Simplify 1 into 1 13.367 * [backup-simplify]: Simplify (/ 1 1) into 1 13.367 * [backup-simplify]: Simplify (* 1 1) into 1 13.367 * [backup-simplify]: Simplify (+ 0 1) into 1 13.367 * [backup-simplify]: Simplify (sqrt 1) into 1 13.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.369 * [backup-simplify]: Simplify (+ 0 0) into 0 13.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.369 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.369 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.369 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.369 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.369 * [taylor]: Taking taylor expansion of re in re 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.370 * [backup-simplify]: Simplify (/ 1 1) into 1 13.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.370 * [taylor]: Taking taylor expansion of re in re 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify 1 into 1 13.370 * [backup-simplify]: Simplify (/ 1 1) into 1 13.370 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.370 * [taylor]: Taking taylor expansion of im in re 13.370 * [backup-simplify]: Simplify im into im 13.370 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.370 * [taylor]: Taking taylor expansion of im in re 13.370 * [backup-simplify]: Simplify im into im 13.370 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.370 * [backup-simplify]: Simplify (* 1 1) into 1 13.371 * [backup-simplify]: Simplify (+ 1 0) into 1 13.371 * [backup-simplify]: Simplify (sqrt 1) into 1 13.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.372 * [backup-simplify]: Simplify (+ 0 0) into 0 13.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.373 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.373 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.373 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.373 * [taylor]: Taking taylor expansion of re in re 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 1 into 1 13.373 * [backup-simplify]: Simplify (/ 1 1) into 1 13.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.373 * [taylor]: Taking taylor expansion of re in re 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify 1 into 1 13.374 * [backup-simplify]: Simplify (/ 1 1) into 1 13.374 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.374 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.374 * [taylor]: Taking taylor expansion of im in re 13.374 * [backup-simplify]: Simplify im into im 13.374 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.374 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.374 * [taylor]: Taking taylor expansion of im in re 13.374 * [backup-simplify]: Simplify im into im 13.374 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.374 * [backup-simplify]: Simplify (* 1 1) into 1 13.374 * [backup-simplify]: Simplify (+ 1 0) into 1 13.374 * [backup-simplify]: Simplify (sqrt 1) into 1 13.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.376 * [backup-simplify]: Simplify (+ 0 0) into 0 13.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.376 * [taylor]: Taking taylor expansion of 1 in im 13.377 * [backup-simplify]: Simplify 1 into 1 13.377 * [taylor]: Taking taylor expansion of 0 in im 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify 1 into 1 13.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.379 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.379 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.381 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.381 * [taylor]: Taking taylor expansion of 1/2 in im 13.381 * [backup-simplify]: Simplify 1/2 into 1/2 13.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.381 * [taylor]: Taking taylor expansion of im in im 13.381 * [backup-simplify]: Simplify 0 into 0 13.381 * [backup-simplify]: Simplify 1 into 1 13.381 * [backup-simplify]: Simplify (* 1 1) into 1 13.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.387 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.387 * [backup-simplify]: Simplify (+ 0 0) into 0 13.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.388 * [taylor]: Taking taylor expansion of 0 in im 13.388 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.390 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 13.390 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 13.390 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.390 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.390 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.390 * [taylor]: Taking taylor expansion of -1 in im 13.390 * [backup-simplify]: Simplify -1 into -1 13.390 * [taylor]: Taking taylor expansion of re in im 13.390 * [backup-simplify]: Simplify re into re 13.390 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.390 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.390 * [taylor]: Taking taylor expansion of -1 in im 13.390 * [backup-simplify]: Simplify -1 into -1 13.390 * [taylor]: Taking taylor expansion of re in im 13.391 * [backup-simplify]: Simplify re into re 13.391 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.391 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.391 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.391 * [taylor]: Taking taylor expansion of -1 in im 13.391 * [backup-simplify]: Simplify -1 into -1 13.391 * [taylor]: Taking taylor expansion of im in im 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.391 * [backup-simplify]: Simplify (/ -1 1) into -1 13.391 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.391 * [taylor]: Taking taylor expansion of -1 in im 13.391 * [backup-simplify]: Simplify -1 into -1 13.391 * [taylor]: Taking taylor expansion of im in im 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.392 * [backup-simplify]: Simplify (/ -1 1) into -1 13.392 * [backup-simplify]: Simplify (* -1 -1) into 1 13.392 * [backup-simplify]: Simplify (+ 0 1) into 1 13.393 * [backup-simplify]: Simplify (sqrt 1) into 1 13.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.395 * [backup-simplify]: Simplify (+ 0 0) into 0 13.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.396 * [taylor]: Taking taylor expansion of -1 in re 13.396 * [backup-simplify]: Simplify -1 into -1 13.396 * [taylor]: Taking taylor expansion of re in re 13.396 * [backup-simplify]: Simplify 0 into 0 13.396 * [backup-simplify]: Simplify 1 into 1 13.397 * [backup-simplify]: Simplify (/ -1 1) into -1 13.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.397 * [taylor]: Taking taylor expansion of -1 in re 13.397 * [backup-simplify]: Simplify -1 into -1 13.397 * [taylor]: Taking taylor expansion of re in re 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 1 into 1 13.397 * [backup-simplify]: Simplify (/ -1 1) into -1 13.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.397 * [taylor]: Taking taylor expansion of -1 in re 13.397 * [backup-simplify]: Simplify -1 into -1 13.397 * [taylor]: Taking taylor expansion of im in re 13.397 * [backup-simplify]: Simplify im into im 13.397 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.397 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.397 * [taylor]: Taking taylor expansion of -1 in re 13.397 * [backup-simplify]: Simplify -1 into -1 13.397 * [taylor]: Taking taylor expansion of im in re 13.397 * [backup-simplify]: Simplify im into im 13.397 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.398 * [backup-simplify]: Simplify (* -1 -1) into 1 13.398 * [backup-simplify]: Simplify (+ 1 0) into 1 13.399 * [backup-simplify]: Simplify (sqrt 1) into 1 13.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.401 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.401 * [backup-simplify]: Simplify (+ 0 0) into 0 13.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.402 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.402 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.402 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.402 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.402 * [taylor]: Taking taylor expansion of -1 in re 13.402 * [backup-simplify]: Simplify -1 into -1 13.402 * [taylor]: Taking taylor expansion of re in re 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 1 into 1 13.402 * [backup-simplify]: Simplify (/ -1 1) into -1 13.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.402 * [taylor]: Taking taylor expansion of -1 in re 13.402 * [backup-simplify]: Simplify -1 into -1 13.402 * [taylor]: Taking taylor expansion of re in re 13.402 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify 1 into 1 13.403 * [backup-simplify]: Simplify (/ -1 1) into -1 13.403 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.403 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.403 * [taylor]: Taking taylor expansion of -1 in re 13.403 * [backup-simplify]: Simplify -1 into -1 13.403 * [taylor]: Taking taylor expansion of im in re 13.403 * [backup-simplify]: Simplify im into im 13.403 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.403 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.403 * [taylor]: Taking taylor expansion of -1 in re 13.403 * [backup-simplify]: Simplify -1 into -1 13.403 * [taylor]: Taking taylor expansion of im in re 13.403 * [backup-simplify]: Simplify im into im 13.403 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.404 * [backup-simplify]: Simplify (* -1 -1) into 1 13.404 * [backup-simplify]: Simplify (+ 1 0) into 1 13.404 * [backup-simplify]: Simplify (sqrt 1) into 1 13.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.406 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.407 * [backup-simplify]: Simplify (+ 0 0) into 0 13.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.407 * [taylor]: Taking taylor expansion of 1 in im 13.407 * [backup-simplify]: Simplify 1 into 1 13.407 * [taylor]: Taking taylor expansion of 0 in im 13.407 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 1 into 1 13.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.410 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.412 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.412 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.412 * [taylor]: Taking taylor expansion of 1/2 in im 13.412 * [backup-simplify]: Simplify 1/2 into 1/2 13.412 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.412 * [taylor]: Taking taylor expansion of im in im 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify 1 into 1 13.412 * [backup-simplify]: Simplify (* 1 1) into 1 13.413 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.417 * [backup-simplify]: Simplify 0 into 0 13.417 * [backup-simplify]: Simplify 0 into 0 13.417 * [backup-simplify]: Simplify 0 into 0 13.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.420 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.420 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.420 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.420 * [backup-simplify]: Simplify (+ 0 0) into 0 13.421 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.421 * [taylor]: Taking taylor expansion of 0 in im 13.421 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.423 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 13.423 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 13.423 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 13.423 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.423 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.423 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.423 * [taylor]: Taking taylor expansion of (* re re) in im 13.423 * [taylor]: Taking taylor expansion of re in im 13.424 * [backup-simplify]: Simplify re into re 13.424 * [taylor]: Taking taylor expansion of re in im 13.424 * [backup-simplify]: Simplify re into re 13.424 * [taylor]: Taking taylor expansion of (* im im) in im 13.424 * [taylor]: Taking taylor expansion of im in im 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify 1 into 1 13.424 * [taylor]: Taking taylor expansion of im in im 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify 1 into 1 13.424 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.424 * [backup-simplify]: Simplify (* 0 0) into 0 13.424 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.424 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.424 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.425 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.425 * [backup-simplify]: Simplify (+ 0 0) into 0 13.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.425 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.425 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.425 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.425 * [taylor]: Taking taylor expansion of (* re re) in re 13.425 * [taylor]: Taking taylor expansion of re in re 13.425 * [backup-simplify]: Simplify 0 into 0 13.425 * [backup-simplify]: Simplify 1 into 1 13.425 * [taylor]: Taking taylor expansion of re in re 13.425 * [backup-simplify]: Simplify 0 into 0 13.425 * [backup-simplify]: Simplify 1 into 1 13.425 * [taylor]: Taking taylor expansion of (* im im) in re 13.425 * [taylor]: Taking taylor expansion of im in re 13.426 * [backup-simplify]: Simplify im into im 13.426 * [taylor]: Taking taylor expansion of im in re 13.426 * [backup-simplify]: Simplify im into im 13.426 * [backup-simplify]: Simplify (* 0 0) into 0 13.426 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.426 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.426 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.426 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.426 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.427 * [backup-simplify]: Simplify (+ 0 0) into 0 13.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.427 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.427 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.427 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.427 * [taylor]: Taking taylor expansion of (* re re) in re 13.427 * [taylor]: Taking taylor expansion of re in re 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify 1 into 1 13.427 * [taylor]: Taking taylor expansion of re in re 13.427 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify 1 into 1 13.427 * [taylor]: Taking taylor expansion of (* im im) in re 13.427 * [taylor]: Taking taylor expansion of im in re 13.427 * [backup-simplify]: Simplify im into im 13.427 * [taylor]: Taking taylor expansion of im in re 13.427 * [backup-simplify]: Simplify im into im 13.427 * [backup-simplify]: Simplify (* 0 0) into 0 13.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.427 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.428 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.428 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.428 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.428 * [backup-simplify]: Simplify (+ 0 0) into 0 13.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.428 * [taylor]: Taking taylor expansion of im in im 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify 1 into 1 13.428 * [backup-simplify]: Simplify 0 into 0 13.429 * [taylor]: Taking taylor expansion of 0 in im 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 1 into 1 13.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.429 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.430 * [backup-simplify]: Simplify (+ 1 0) into 1 13.430 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.430 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.430 * [taylor]: Taking taylor expansion of 1/2 in im 13.430 * [backup-simplify]: Simplify 1/2 into 1/2 13.430 * [taylor]: Taking taylor expansion of im in im 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify 1 into 1 13.430 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.431 * [backup-simplify]: Simplify 0 into 0 13.431 * [backup-simplify]: Simplify 0 into 0 13.431 * [backup-simplify]: Simplify 0 into 0 13.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.432 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.432 * [backup-simplify]: Simplify (+ 0 0) into 0 13.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.432 * [taylor]: Taking taylor expansion of 0 in im 13.432 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.433 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 13.433 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 13.433 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.433 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.433 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.433 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.434 * [taylor]: Taking taylor expansion of re in im 13.434 * [backup-simplify]: Simplify re into re 13.434 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.434 * [taylor]: Taking taylor expansion of re in im 13.434 * [backup-simplify]: Simplify re into re 13.434 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.434 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.434 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.434 * [taylor]: Taking taylor expansion of im in im 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify 1 into 1 13.434 * [backup-simplify]: Simplify (/ 1 1) into 1 13.434 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.434 * [taylor]: Taking taylor expansion of im in im 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify 1 into 1 13.434 * [backup-simplify]: Simplify (/ 1 1) into 1 13.435 * [backup-simplify]: Simplify (* 1 1) into 1 13.435 * [backup-simplify]: Simplify (+ 0 1) into 1 13.435 * [backup-simplify]: Simplify (sqrt 1) into 1 13.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.436 * [backup-simplify]: Simplify (+ 0 0) into 0 13.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.437 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.437 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.437 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.437 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.437 * [taylor]: Taking taylor expansion of re in re 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 1 into 1 13.437 * [backup-simplify]: Simplify (/ 1 1) into 1 13.437 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.437 * [taylor]: Taking taylor expansion of re in re 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 1 into 1 13.438 * [backup-simplify]: Simplify (/ 1 1) into 1 13.438 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.438 * [taylor]: Taking taylor expansion of im in re 13.438 * [backup-simplify]: Simplify im into im 13.438 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.438 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.438 * [taylor]: Taking taylor expansion of im in re 13.438 * [backup-simplify]: Simplify im into im 13.438 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.438 * [backup-simplify]: Simplify (* 1 1) into 1 13.438 * [backup-simplify]: Simplify (+ 1 0) into 1 13.439 * [backup-simplify]: Simplify (sqrt 1) into 1 13.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.440 * [backup-simplify]: Simplify (+ 0 0) into 0 13.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.441 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.441 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.441 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.441 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.441 * [taylor]: Taking taylor expansion of re in re 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.441 * [backup-simplify]: Simplify (/ 1 1) into 1 13.441 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.441 * [taylor]: Taking taylor expansion of re in re 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.442 * [backup-simplify]: Simplify (/ 1 1) into 1 13.442 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.442 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.442 * [taylor]: Taking taylor expansion of im in re 13.442 * [backup-simplify]: Simplify im into im 13.442 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.442 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.442 * [taylor]: Taking taylor expansion of im in re 13.442 * [backup-simplify]: Simplify im into im 13.442 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.442 * [backup-simplify]: Simplify (* 1 1) into 1 13.442 * [backup-simplify]: Simplify (+ 1 0) into 1 13.443 * [backup-simplify]: Simplify (sqrt 1) into 1 13.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.444 * [backup-simplify]: Simplify (+ 0 0) into 0 13.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.445 * [taylor]: Taking taylor expansion of 1 in im 13.445 * [backup-simplify]: Simplify 1 into 1 13.445 * [taylor]: Taking taylor expansion of 0 in im 13.445 * [backup-simplify]: Simplify 0 into 0 13.445 * [backup-simplify]: Simplify 1 into 1 13.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.446 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.446 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.447 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.447 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.447 * [taylor]: Taking taylor expansion of 1/2 in im 13.447 * [backup-simplify]: Simplify 1/2 into 1/2 13.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.447 * [taylor]: Taking taylor expansion of im in im 13.447 * [backup-simplify]: Simplify 0 into 0 13.447 * [backup-simplify]: Simplify 1 into 1 13.448 * [backup-simplify]: Simplify (* 1 1) into 1 13.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.451 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.451 * [backup-simplify]: Simplify (+ 0 0) into 0 13.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.451 * [taylor]: Taking taylor expansion of 0 in im 13.452 * [backup-simplify]: Simplify 0 into 0 13.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.453 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 13.453 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 13.453 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.453 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.453 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.453 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.453 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.453 * [taylor]: Taking taylor expansion of -1 in im 13.453 * [backup-simplify]: Simplify -1 into -1 13.453 * [taylor]: Taking taylor expansion of re in im 13.453 * [backup-simplify]: Simplify re into re 13.453 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.453 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.453 * [taylor]: Taking taylor expansion of -1 in im 13.453 * [backup-simplify]: Simplify -1 into -1 13.453 * [taylor]: Taking taylor expansion of re in im 13.453 * [backup-simplify]: Simplify re into re 13.453 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.453 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.453 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.453 * [taylor]: Taking taylor expansion of -1 in im 13.453 * [backup-simplify]: Simplify -1 into -1 13.453 * [taylor]: Taking taylor expansion of im in im 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 1 into 1 13.454 * [backup-simplify]: Simplify (/ -1 1) into -1 13.454 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.454 * [taylor]: Taking taylor expansion of -1 in im 13.454 * [backup-simplify]: Simplify -1 into -1 13.454 * [taylor]: Taking taylor expansion of im in im 13.454 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify 1 into 1 13.454 * [backup-simplify]: Simplify (/ -1 1) into -1 13.454 * [backup-simplify]: Simplify (* -1 -1) into 1 13.455 * [backup-simplify]: Simplify (+ 0 1) into 1 13.455 * [backup-simplify]: Simplify (sqrt 1) into 1 13.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.456 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.456 * [backup-simplify]: Simplify (+ 0 0) into 0 13.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.457 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.457 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.457 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.458 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.458 * [taylor]: Taking taylor expansion of -1 in re 13.458 * [backup-simplify]: Simplify -1 into -1 13.458 * [taylor]: Taking taylor expansion of re in re 13.458 * [backup-simplify]: Simplify 0 into 0 13.458 * [backup-simplify]: Simplify 1 into 1 13.458 * [backup-simplify]: Simplify (/ -1 1) into -1 13.458 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.458 * [taylor]: Taking taylor expansion of -1 in re 13.458 * [backup-simplify]: Simplify -1 into -1 13.458 * [taylor]: Taking taylor expansion of re in re 13.458 * [backup-simplify]: Simplify 0 into 0 13.458 * [backup-simplify]: Simplify 1 into 1 13.459 * [backup-simplify]: Simplify (/ -1 1) into -1 13.459 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.459 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.459 * [taylor]: Taking taylor expansion of -1 in re 13.459 * [backup-simplify]: Simplify -1 into -1 13.459 * [taylor]: Taking taylor expansion of im in re 13.459 * [backup-simplify]: Simplify im into im 13.459 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.459 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.459 * [taylor]: Taking taylor expansion of -1 in re 13.459 * [backup-simplify]: Simplify -1 into -1 13.459 * [taylor]: Taking taylor expansion of im in re 13.459 * [backup-simplify]: Simplify im into im 13.459 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.460 * [backup-simplify]: Simplify (* -1 -1) into 1 13.460 * [backup-simplify]: Simplify (+ 1 0) into 1 13.461 * [backup-simplify]: Simplify (sqrt 1) into 1 13.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.462 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.462 * [backup-simplify]: Simplify (+ 0 0) into 0 13.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.463 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.463 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.463 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.463 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.463 * [taylor]: Taking taylor expansion of -1 in re 13.463 * [backup-simplify]: Simplify -1 into -1 13.463 * [taylor]: Taking taylor expansion of re in re 13.463 * [backup-simplify]: Simplify 0 into 0 13.463 * [backup-simplify]: Simplify 1 into 1 13.463 * [backup-simplify]: Simplify (/ -1 1) into -1 13.463 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.463 * [taylor]: Taking taylor expansion of -1 in re 13.463 * [backup-simplify]: Simplify -1 into -1 13.463 * [taylor]: Taking taylor expansion of re in re 13.463 * [backup-simplify]: Simplify 0 into 0 13.463 * [backup-simplify]: Simplify 1 into 1 13.464 * [backup-simplify]: Simplify (/ -1 1) into -1 13.464 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.464 * [taylor]: Taking taylor expansion of -1 in re 13.464 * [backup-simplify]: Simplify -1 into -1 13.464 * [taylor]: Taking taylor expansion of im in re 13.464 * [backup-simplify]: Simplify im into im 13.464 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.464 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.464 * [taylor]: Taking taylor expansion of -1 in re 13.464 * [backup-simplify]: Simplify -1 into -1 13.464 * [taylor]: Taking taylor expansion of im in re 13.464 * [backup-simplify]: Simplify im into im 13.464 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.464 * [backup-simplify]: Simplify (* -1 -1) into 1 13.464 * [backup-simplify]: Simplify (+ 1 0) into 1 13.465 * [backup-simplify]: Simplify (sqrt 1) into 1 13.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.466 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.466 * [backup-simplify]: Simplify (+ 0 0) into 0 13.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.467 * [taylor]: Taking taylor expansion of 1 in im 13.467 * [backup-simplify]: Simplify 1 into 1 13.467 * [taylor]: Taking taylor expansion of 0 in im 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 1 into 1 13.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.469 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.469 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.470 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.470 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.470 * [taylor]: Taking taylor expansion of 1/2 in im 13.470 * [backup-simplify]: Simplify 1/2 into 1/2 13.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.470 * [taylor]: Taking taylor expansion of im in im 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify 1 into 1 13.470 * [backup-simplify]: Simplify (* 1 1) into 1 13.470 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.473 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.473 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.473 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.473 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.473 * [backup-simplify]: Simplify (+ 0 0) into 0 13.474 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.474 * [taylor]: Taking taylor expansion of 0 in im 13.474 * [backup-simplify]: Simplify 0 into 0 13.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.475 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify 0 into 0 13.475 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.475 * * * [progress]: simplifying candidates 13.476 * [simplify]: Simplifying: (expm1 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (log1p (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (log (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (exp (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (cbrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (* (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (expm1 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (log1p (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (log (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (exp (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (* (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))) (cbrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (* (* (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (sqrt (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) im re (* -1 re) im re (* -1 re) 13.477 * * [simplify]: iteration 0: 74 enodes 13.488 * * [simplify]: iteration 1: 149 enodes 13.537 * * [simplify]: iteration 2: 481 enodes 13.995 * * [simplify]: iteration 3: 2477 enodes 15.020 * * [simplify]: iteration complete: 5000 enodes 15.020 * * [simplify]: Extracting #0: cost 35 inf + 0 15.021 * * [simplify]: Extracting #1: cost 355 inf + 44 15.034 * * [simplify]: Extracting #2: cost 833 inf + 4393 15.068 * * [simplify]: Extracting #3: cost 343 inf + 56678 15.148 * * [simplify]: Extracting #4: cost 22 inf + 102718 15.207 * * [simplify]: Extracting #5: cost 0 inf + 106837 15.272 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (hypot re im) (log (+ re (hypot re im))) (exp (+ (hypot re im) re)) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (+ re (hypot re im)) (* (+ re (hypot re im)) (+ re (hypot re im)))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (* (sqrt (* (+ re (hypot re im)) 2.0)) (* (+ re (hypot re im)) 2.0)) (sqrt (+ re (hypot re im))) (sqrt 2.0) 1/2 1/2 (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (+ re im) (+ (- re (* (* (/ im re) (/ im re)) +nan.0)) +nan.0) (+ (- re (* (* (/ im re) (/ im re)) +nan.0)) +nan.0) (* (* (sqrt 2.0) +nan.0) (fma re (- re) (- im re))) (- (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))) (* (sqrt 2.0) +nan.0)) (- (* (/ (sqrt 2.0) re) (- +nan.0 (/ +nan.0 re))) (* (sqrt 2.0) +nan.0)) im re (- re) im re (- re) 15.275 * * * [progress]: adding candidates to table 15.620 * [progress]: [Phase 3 of 3] Extracting. 15.620 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 15.624 * * * [regime-changes]: Trying 2 branch expressions: (im re) 15.624 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # # # #) 15.794 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # # # #) 15.941 * * * [regime]: Found split indices: #