0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.062 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.069 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.069 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.069 * * [simplify]: iters left: 6 (12 enodes) 0.089 * * [simplify]: iters left: 5 (48 enodes) 0.096 * * [simplify]: iters left: 4 (62 enodes) 0.105 * * [simplify]: iters left: 3 (64 enodes) 0.121 * * [simplify]: Extracting #0: cost 1 inf + 0 0.121 * * [simplify]: Extracting #1: cost 4 inf + 0 0.121 * * [simplify]: Extracting #2: cost 5 inf + 1 0.121 * * [simplify]: Extracting #3: cost 12 inf + 1 0.121 * * [simplify]: Extracting #4: cost 15 inf + 45 0.121 * * [simplify]: Extracting #5: cost 14 inf + 298 0.122 * * [simplify]: Extracting #6: cost 7 inf + 1295 0.123 * * [simplify]: Extracting #7: cost 0 inf + 2035 0.123 * * [simplify]: Extracting #8: cost 0 inf + 2020 0.124 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.124 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))) 0.137 * * [progress]: iteration 1 / 4 0.137 * * * [progress]: picking best candidate 0.147 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.160 * * * [progress]: generating rewritten candidates 0.160 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.164 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.170 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.171 * * * [progress]: generating series expansions 0.171 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.171 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.171 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.171 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.171 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.171 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.171 * [taylor]: Taking taylor expansion of (* re re) in im 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [backup-simplify]: Simplify re into re 0.171 * [taylor]: Taking taylor expansion of re in im 0.171 * [backup-simplify]: Simplify re into re 0.171 * [taylor]: Taking taylor expansion of (* im im) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.172 * [backup-simplify]: Simplify (* 0 0) into 0 0.172 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.172 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.172 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.172 * [taylor]: Taking taylor expansion of re in im 0.172 * [backup-simplify]: Simplify re into re 0.172 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.172 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.172 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.172 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.173 * [taylor]: Taking taylor expansion of (* re re) in re 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of re in re 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of (* im im) in re 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [backup-simplify]: Simplify im into im 0.173 * [taylor]: Taking taylor expansion of im in re 0.173 * [backup-simplify]: Simplify im into im 0.173 * [backup-simplify]: Simplify (* 0 0) into 0 0.173 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.173 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.173 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.173 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.173 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.174 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.174 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.174 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.174 * [taylor]: Taking taylor expansion of (* re re) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (* im im) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [backup-simplify]: Simplify im into im 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [backup-simplify]: Simplify im into im 0.174 * [backup-simplify]: Simplify (* 0 0) into 0 0.174 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.174 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.175 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.175 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.175 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ im 0) into im 0.175 * [taylor]: Taking taylor expansion of im in im 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ 0 1) into 1 0.176 * [taylor]: Taking taylor expansion of 1 in im 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.183 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.183 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.183 * [taylor]: Taking taylor expansion of 1/2 in im 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.183 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.183 * [taylor]: Taking taylor expansion of im in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.190 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.190 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.191 * [taylor]: Taking taylor expansion of re in im 0.191 * [backup-simplify]: Simplify re into re 0.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.191 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.191 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.191 * [taylor]: Taking taylor expansion of re in im 0.191 * [backup-simplify]: Simplify re into re 0.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.191 * [taylor]: Taking taylor expansion of re in im 0.191 * [backup-simplify]: Simplify re into re 0.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.191 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (sqrt 1) into 1 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.195 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.195 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [backup-simplify]: Simplify im into im 0.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.196 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [backup-simplify]: Simplify im into im 0.196 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.197 * [backup-simplify]: Simplify (sqrt 1) into 1 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.199 * [taylor]: Taking taylor expansion of re in re 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.200 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 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) (/ 1 im)) in re 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.206 * [backup-simplify]: Simplify (+ 1 1) into 2 0.206 * [taylor]: Taking taylor expansion of 2 in im 0.206 * [backup-simplify]: Simplify 2 into 2 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 2 into 2 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.211 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.211 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.213 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.213 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.213 * [taylor]: Taking taylor expansion of 1/2 in im 0.213 * [backup-simplify]: Simplify 1/2 into 1/2 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.213 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.213 * [taylor]: Taking taylor expansion of im in im 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [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) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.220 * [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 0.221 * [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 0.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.225 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.225 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.225 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.225 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.225 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.225 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.225 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.225 * [taylor]: Taking taylor expansion of -1 in im 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of re in im 0.225 * [backup-simplify]: Simplify re into re 0.225 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.225 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.225 * [taylor]: Taking taylor expansion of -1 in im 0.225 * [backup-simplify]: Simplify -1 into -1 0.225 * [taylor]: Taking taylor expansion of re in im 0.225 * [backup-simplify]: Simplify re into re 0.225 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.225 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.225 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.225 * [taylor]: Taking taylor expansion of -1 in im 0.225 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ -1 1) into -1 0.226 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.226 * [taylor]: Taking taylor expansion of -1 in im 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (* -1 -1) into 1 0.227 * [backup-simplify]: Simplify (+ 0 1) into 1 0.228 * [backup-simplify]: Simplify (sqrt 1) into 1 0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.231 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.231 * [taylor]: Taking taylor expansion of re in im 0.231 * [backup-simplify]: Simplify re into re 0.231 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.231 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.231 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.231 * [taylor]: Taking taylor expansion of -1 in re 0.231 * [backup-simplify]: Simplify -1 into -1 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ -1 1) into -1 0.232 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.232 * [taylor]: Taking taylor expansion of -1 in re 0.232 * [backup-simplify]: Simplify -1 into -1 0.232 * [taylor]: Taking taylor expansion of re in re 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ -1 1) into -1 0.232 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.232 * [taylor]: Taking taylor expansion of -1 in re 0.232 * [backup-simplify]: Simplify -1 into -1 0.232 * [taylor]: Taking taylor expansion of im in re 0.232 * [backup-simplify]: Simplify im into im 0.232 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.232 * [taylor]: Taking taylor expansion of -1 in re 0.232 * [backup-simplify]: Simplify -1 into -1 0.232 * [taylor]: Taking taylor expansion of im in re 0.232 * [backup-simplify]: Simplify im into im 0.232 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.232 * [backup-simplify]: Simplify (* -1 -1) into 1 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [backup-simplify]: Simplify (sqrt 1) into 1 0.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [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 0.236 * [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 0.236 * [backup-simplify]: Simplify (/ -1 1) into -1 0.236 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.236 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.236 * [backup-simplify]: Simplify im into im 0.236 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.236 * [taylor]: Taking taylor expansion of (/ -1 im) 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 im in re 0.236 * [backup-simplify]: Simplify im into im 0.236 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.237 * [backup-simplify]: Simplify (* -1 -1) into 1 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.239 * [taylor]: Taking taylor expansion of re in re 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify (- 1) into -1 0.240 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.243 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.244 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.245 * [taylor]: Taking taylor expansion of 1/2 in im 0.245 * [backup-simplify]: Simplify 1/2 into 1/2 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.245 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.245 * [taylor]: Taking taylor expansion of im in im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.248 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.252 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.252 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.252 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 0.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.252 * [taylor]: Taking taylor expansion of 2.0 in im 0.252 * [backup-simplify]: Simplify 2.0 into 2.0 0.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.253 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.253 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.253 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.253 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.253 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.253 * [taylor]: Taking taylor expansion of (* re re) in im 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [backup-simplify]: Simplify re into re 0.253 * [taylor]: Taking taylor expansion of re in im 0.253 * [backup-simplify]: Simplify re into re 0.253 * [taylor]: Taking taylor expansion of (* im im) in im 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [taylor]: Taking taylor expansion of im in im 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.253 * [backup-simplify]: Simplify (* 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.253 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.253 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.254 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.254 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.255 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.255 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.255 * [taylor]: Taking taylor expansion of 2.0 in re 0.255 * [backup-simplify]: Simplify 2.0 into 2.0 0.255 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.256 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.256 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.256 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.256 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.256 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.256 * [taylor]: Taking taylor expansion of (* re re) in re 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of re in re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [taylor]: Taking taylor expansion of (* im im) in re 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.256 * [taylor]: Taking taylor expansion of im in re 0.256 * [backup-simplify]: Simplify im into im 0.257 * [backup-simplify]: Simplify (* 0 0) into 0 0.257 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.257 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.257 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.258 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.258 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.258 * [taylor]: Taking taylor expansion of re in re 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (+ im 0) into im 0.258 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.259 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.259 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.259 * [taylor]: Taking taylor expansion of 2.0 in re 0.259 * [backup-simplify]: Simplify 2.0 into 2.0 0.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.260 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.260 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.260 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.260 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.260 * [taylor]: Taking taylor expansion of (* re re) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (* im im) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [backup-simplify]: Simplify im into im 0.261 * [taylor]: Taking taylor expansion of im in re 0.261 * [backup-simplify]: Simplify im into im 0.261 * [backup-simplify]: Simplify (* 0 0) into 0 0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.261 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.261 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.262 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.262 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.262 * [taylor]: Taking taylor expansion of re in re 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ im 0) into im 0.263 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.263 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.264 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.264 * [taylor]: Taking taylor expansion of 2.0 in im 0.264 * [backup-simplify]: Simplify 2.0 into 2.0 0.264 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.265 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.265 * [taylor]: Taking taylor expansion of im in im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (sqrt 0) into 0 0.267 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.267 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.268 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.268 * [taylor]: Taking taylor expansion of 1/2 in im 0.268 * [backup-simplify]: Simplify 1/2 into 1/2 0.268 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.268 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.268 * [taylor]: Taking taylor expansion of 2.0 in im 0.268 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.269 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.269 * [taylor]: Taking taylor expansion of im in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (sqrt 0) into 0 0.271 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.273 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.274 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.277 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.279 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.279 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.280 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.280 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.281 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.281 * [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)))) 0.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.282 * [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))))) 0.282 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.282 * [taylor]: Taking taylor expansion of 1/8 in im 0.283 * [backup-simplify]: Simplify 1/8 into 1/8 0.283 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.283 * [backup-simplify]: Simplify 2.0 into 2.0 0.283 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.283 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.283 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.283 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.283 * [taylor]: Taking taylor expansion of im in im 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (sqrt 0) into 0 0.285 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.290 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.292 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.292 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.298 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.301 * [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))))))) 0.301 * [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))))) 0.301 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.301 * [taylor]: Taking taylor expansion of 2.0 in im 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.302 * [backup-simplify]: Simplify re into re 0.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.302 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.302 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.302 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.302 * [backup-simplify]: Simplify re into re 0.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.302 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.302 * [taylor]: Taking taylor expansion of re in im 0.302 * [backup-simplify]: Simplify re into re 0.302 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.302 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.302 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.303 * [taylor]: Taking taylor expansion of im in im 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (+ 0 1) into 1 0.304 * [backup-simplify]: Simplify (sqrt 1) into 1 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 1) into 1 0.306 * [backup-simplify]: Simplify (sqrt 0) into 0 0.307 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.307 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.307 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.308 * [taylor]: Taking taylor expansion of 2.0 in re 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.309 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.309 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.309 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.309 * [taylor]: Taking taylor expansion of re in re 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.310 * [taylor]: Taking taylor expansion of re in re 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.310 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.310 * [taylor]: Taking taylor expansion of im in re 0.310 * [backup-simplify]: Simplify im into im 0.311 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.311 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.311 * [taylor]: Taking taylor expansion of im in re 0.311 * [backup-simplify]: Simplify im into im 0.311 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [backup-simplify]: Simplify (sqrt 1) into 1 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.316 * [backup-simplify]: Simplify (+ 1 1) into 2 0.316 * [backup-simplify]: Simplify (sqrt 0) into 0 0.317 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.317 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.317 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.317 * [taylor]: Taking taylor expansion of 2.0 in re 0.317 * [backup-simplify]: Simplify 2.0 into 2.0 0.318 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.319 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.319 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.319 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.320 * [taylor]: Taking taylor expansion of im in re 0.320 * [backup-simplify]: Simplify im into im 0.320 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.320 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.320 * [taylor]: Taking taylor expansion of im in re 0.320 * [backup-simplify]: Simplify im into im 0.320 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.320 * [backup-simplify]: Simplify (sqrt 1) into 1 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.323 * [backup-simplify]: Simplify (+ 1 1) into 2 0.323 * [backup-simplify]: Simplify (sqrt 0) into 0 0.324 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.324 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in im 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.325 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.325 * [taylor]: Taking taylor expansion of +nan.0 in im 0.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.325 * [taylor]: Taking taylor expansion of 2.0 in im 0.325 * [backup-simplify]: Simplify 2.0 into 2.0 0.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.329 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.330 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.331 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.331 * [taylor]: Taking taylor expansion of +nan.0 in im 0.331 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.331 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.331 * [taylor]: Taking taylor expansion of 2.0 in im 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.332 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.333 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.334 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.336 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.337 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.338 * [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)) 0.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.340 * [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)))))) 0.340 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.340 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.340 * [taylor]: Taking taylor expansion of +nan.0 in im 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.340 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.341 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.341 * [taylor]: Taking taylor expansion of +nan.0 in im 0.341 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.341 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) 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 0.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.341 * [taylor]: Taking taylor expansion of im in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.346 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.347 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.347 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.351 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [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))) 0.354 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.355 * [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)))))) 0.355 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.356 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.356 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.356 * [taylor]: Taking taylor expansion of +nan.0 in im 0.356 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.356 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.356 * [taylor]: Taking taylor expansion of 2.0 in im 0.356 * [backup-simplify]: Simplify 2.0 into 2.0 0.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.357 * [taylor]: Taking taylor expansion of +nan.0 in im 0.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.357 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.357 * [taylor]: Taking taylor expansion of 2.0 in im 0.357 * [backup-simplify]: Simplify 2.0 into 2.0 0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (* 1 1) into 1 0.360 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.370 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.374 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.375 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.380 * [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)))))))) 0.380 * [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)))) 0.380 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.381 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.381 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.381 * [taylor]: Taking taylor expansion of 2.0 in im 0.381 * [backup-simplify]: Simplify 2.0 into 2.0 0.381 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.382 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.382 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.382 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.382 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.382 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.382 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.382 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.382 * [taylor]: Taking taylor expansion of -1 in im 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of re in im 0.382 * [backup-simplify]: Simplify re into re 0.382 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.382 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.382 * [taylor]: Taking taylor expansion of -1 in im 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of re in im 0.382 * [backup-simplify]: Simplify re into re 0.382 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.382 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.382 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.382 * [taylor]: Taking taylor expansion of -1 in im 0.382 * [backup-simplify]: Simplify -1 into -1 0.382 * [taylor]: Taking taylor expansion of im in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (/ -1 1) into -1 0.383 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.383 * [taylor]: Taking taylor expansion of -1 in im 0.383 * [backup-simplify]: Simplify -1 into -1 0.383 * [taylor]: Taking taylor expansion of im in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ -1 1) into -1 0.384 * [backup-simplify]: Simplify (* -1 -1) into 1 0.384 * [backup-simplify]: Simplify (+ 0 1) into 1 0.385 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.388 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.388 * [taylor]: Taking taylor expansion of re in im 0.388 * [backup-simplify]: Simplify re into re 0.388 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.389 * [backup-simplify]: Simplify (+ 1 0) into 1 0.390 * [backup-simplify]: Simplify (sqrt 0) into 0 0.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.391 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.391 * [taylor]: Taking taylor expansion of 2.0 in re 0.391 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.392 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.392 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.392 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.392 * [taylor]: Taking taylor expansion of -1 in re 0.392 * [backup-simplify]: Simplify -1 into -1 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (/ -1 1) into -1 0.393 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.393 * [taylor]: Taking taylor expansion of -1 in re 0.393 * [backup-simplify]: Simplify -1 into -1 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (/ -1 1) into -1 0.394 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.394 * [taylor]: Taking taylor expansion of -1 in re 0.394 * [backup-simplify]: Simplify -1 into -1 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.394 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.394 * [taylor]: Taking taylor expansion of -1 in re 0.394 * [backup-simplify]: Simplify -1 into -1 0.394 * [taylor]: Taking taylor expansion of im in re 0.394 * [backup-simplify]: Simplify im into im 0.394 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.395 * [backup-simplify]: Simplify (* -1 -1) into 1 0.395 * [backup-simplify]: Simplify (+ 1 0) into 1 0.395 * [backup-simplify]: Simplify (sqrt 1) into 1 0.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.399 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.399 * [taylor]: Taking taylor expansion of re in re 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.400 * [backup-simplify]: Simplify (/ 1 1) into 1 0.400 * [backup-simplify]: Simplify (- 1) into -1 0.400 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.405 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.405 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.406 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.411 * [backup-simplify]: Simplify (sqrt 0) into 0 0.411 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.412 * [taylor]: Taking taylor expansion of 2.0 in re 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.413 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.413 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.413 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.413 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.413 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.413 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.413 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.413 * [taylor]: Taking taylor expansion of -1 in re 0.413 * [backup-simplify]: Simplify -1 into -1 0.413 * [taylor]: Taking taylor expansion of re in re 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ -1 1) into -1 0.414 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.414 * [taylor]: Taking taylor expansion of -1 in re 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of re in re 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 1 into 1 0.414 * [backup-simplify]: Simplify (/ -1 1) into -1 0.414 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.414 * [taylor]: Taking taylor expansion of -1 in re 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [backup-simplify]: Simplify im into im 0.414 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.414 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.414 * [taylor]: Taking taylor expansion of -1 in re 0.414 * [backup-simplify]: Simplify -1 into -1 0.414 * [taylor]: Taking taylor expansion of im in re 0.414 * [backup-simplify]: Simplify im into im 0.415 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.415 * [backup-simplify]: Simplify (* -1 -1) into 1 0.415 * [backup-simplify]: Simplify (+ 1 0) into 1 0.416 * [backup-simplify]: Simplify (sqrt 1) into 1 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.419 * [taylor]: Taking taylor expansion of re in re 0.419 * [backup-simplify]: Simplify 0 into 0 0.419 * [backup-simplify]: Simplify 1 into 1 0.419 * [backup-simplify]: Simplify (/ 1 1) into 1 0.420 * [backup-simplify]: Simplify (- 1) into -1 0.420 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.425 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.425 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.426 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.427 * [backup-simplify]: Simplify (- 0) into 0 0.427 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.428 * [backup-simplify]: Simplify (sqrt 0) into 0 0.428 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.429 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.429 * [taylor]: Taking taylor expansion of 0 in im 0.429 * [backup-simplify]: Simplify 0 into 0 0.430 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.430 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.430 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.430 * [taylor]: Taking taylor expansion of +nan.0 in im 0.430 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.430 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.430 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.430 * [taylor]: Taking taylor expansion of 2.0 in im 0.430 * [backup-simplify]: Simplify 2.0 into 2.0 0.430 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.431 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.431 * [taylor]: Taking taylor expansion of im in im 0.431 * [backup-simplify]: Simplify 0 into 0 0.431 * [backup-simplify]: Simplify 1 into 1 0.432 * [backup-simplify]: Simplify (* 1 1) into 1 0.433 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.435 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.435 * [backup-simplify]: Simplify (- 0) into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.435 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.439 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.439 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- 0) into 0 0.442 * [backup-simplify]: Simplify (+ 0 0) into 0 0.443 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.445 * [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)))) 0.445 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.445 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.445 * [taylor]: Taking taylor expansion of +nan.0 in im 0.445 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.445 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.445 * [taylor]: Taking taylor expansion of 2.0 in im 0.445 * [backup-simplify]: Simplify 2.0 into 2.0 0.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.446 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.446 * [taylor]: Taking taylor expansion of im in im 0.447 * [backup-simplify]: Simplify 0 into 0 0.447 * [backup-simplify]: Simplify 1 into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.447 * [backup-simplify]: Simplify (* 1 1) into 1 0.448 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.449 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.467 * [backup-simplify]: Simplify (- 0) into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.470 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.471 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.471 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.471 * [backup-simplify]: Simplify (+ 0 0) into 0 0.473 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.474 * [backup-simplify]: Simplify (- 0) into 0 0.474 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.475 * [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))))) 0.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.478 * [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)))))) 0.478 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.478 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.478 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.478 * [taylor]: Taking taylor expansion of +nan.0 in im 0.478 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.478 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.478 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.478 * [taylor]: Taking taylor expansion of 2.0 in im 0.478 * [backup-simplify]: Simplify 2.0 into 2.0 0.478 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.479 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.479 * [taylor]: Taking taylor expansion of im in im 0.479 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify 1 into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.479 * [backup-simplify]: Simplify (* 1 1) into 1 0.480 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.480 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.480 * [taylor]: Taking taylor expansion of +nan.0 in im 0.480 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.480 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.480 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.480 * [taylor]: Taking taylor expansion of 2.0 in im 0.480 * [backup-simplify]: Simplify 2.0 into 2.0 0.480 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.481 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.481 * [taylor]: Taking taylor expansion of im in im 0.481 * [backup-simplify]: Simplify 0 into 0 0.481 * [backup-simplify]: Simplify 1 into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.481 * [backup-simplify]: Simplify (* 1 1) into 1 0.482 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.491 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [backup-simplify]: Simplify (- 0) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.505 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.505 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.505 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.505 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.505 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.505 * [taylor]: Taking taylor expansion of (* re re) in im 0.505 * [taylor]: Taking taylor expansion of re in im 0.505 * [backup-simplify]: Simplify re into re 0.505 * [taylor]: Taking taylor expansion of re in im 0.505 * [backup-simplify]: Simplify re into re 0.505 * [taylor]: Taking taylor expansion of (* im im) in im 0.505 * [taylor]: Taking taylor expansion of im in im 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 1 into 1 0.505 * [taylor]: Taking taylor expansion of im in im 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.506 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.506 * [backup-simplify]: Simplify (* 0 0) into 0 0.506 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.506 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.506 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.506 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.507 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.507 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.507 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.507 * [taylor]: Taking taylor expansion of (* re re) in re 0.507 * [taylor]: Taking taylor expansion of re in re 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of re in re 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 1 into 1 0.507 * [taylor]: Taking taylor expansion of (* im im) in re 0.507 * [taylor]: Taking taylor expansion of im in re 0.507 * [backup-simplify]: Simplify im into im 0.507 * [taylor]: Taking taylor expansion of im in re 0.507 * [backup-simplify]: Simplify im into im 0.508 * [backup-simplify]: Simplify (* 0 0) into 0 0.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.508 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.508 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.509 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.509 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.509 * [backup-simplify]: Simplify (+ 0 0) into 0 0.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.509 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.509 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.509 * [taylor]: Taking taylor expansion of (* re re) in re 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of re in re 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [taylor]: Taking taylor expansion of (* im im) in re 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [backup-simplify]: Simplify im into im 0.510 * [taylor]: Taking taylor expansion of im in re 0.510 * [backup-simplify]: Simplify im into im 0.510 * [backup-simplify]: Simplify (* 0 0) into 0 0.510 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.510 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.511 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.511 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.511 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.512 * [backup-simplify]: Simplify (+ 0 0) into 0 0.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.512 * [taylor]: Taking taylor expansion of im in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [taylor]: Taking taylor expansion of 0 in im 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 0 into 0 0.512 * [backup-simplify]: Simplify 1 into 1 0.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.513 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.514 * [backup-simplify]: Simplify (+ 1 0) into 1 0.515 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.515 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.515 * [taylor]: Taking taylor expansion of 1/2 in im 0.515 * [backup-simplify]: Simplify 1/2 into 1/2 0.515 * [taylor]: Taking taylor expansion of im in im 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.518 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.518 * [backup-simplify]: Simplify (+ 0 0) into 0 0.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.519 * [taylor]: Taking taylor expansion of 0 in im 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.520 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.520 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.520 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.520 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.520 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.520 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.520 * [taylor]: Taking taylor expansion of re in im 0.520 * [backup-simplify]: Simplify re into re 0.520 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.520 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.521 * [taylor]: Taking taylor expansion of re in im 0.521 * [backup-simplify]: Simplify re into re 0.521 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.521 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.521 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.521 * [backup-simplify]: Simplify (/ 1 1) into 1 0.521 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.521 * [taylor]: Taking taylor expansion of im in im 0.521 * [backup-simplify]: Simplify 0 into 0 0.521 * [backup-simplify]: Simplify 1 into 1 0.522 * [backup-simplify]: Simplify (/ 1 1) into 1 0.522 * [backup-simplify]: Simplify (* 1 1) into 1 0.522 * [backup-simplify]: Simplify (+ 0 1) into 1 0.523 * [backup-simplify]: Simplify (sqrt 1) into 1 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.526 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.526 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.526 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.526 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.527 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.527 * [taylor]: Taking taylor expansion of im in re 0.527 * [backup-simplify]: Simplify im into im 0.527 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.527 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.527 * [taylor]: Taking taylor expansion of im in re 0.527 * [backup-simplify]: Simplify im into im 0.527 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.528 * [backup-simplify]: Simplify (* 1 1) into 1 0.528 * [backup-simplify]: Simplify (+ 1 0) into 1 0.529 * [backup-simplify]: Simplify (sqrt 1) into 1 0.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.532 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.532 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.532 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.532 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.532 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.532 * [taylor]: Taking taylor expansion of re in re 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.535 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.535 * [taylor]: Taking taylor expansion of re in re 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify (/ 1 1) into 1 0.536 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.536 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.536 * [taylor]: Taking taylor expansion of im in re 0.536 * [backup-simplify]: Simplify im into im 0.536 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.536 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.536 * [taylor]: Taking taylor expansion of im in re 0.536 * [backup-simplify]: Simplify im into im 0.536 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.536 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (+ 1 0) into 1 0.537 * [backup-simplify]: Simplify (sqrt 1) into 1 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.540 * [taylor]: Taking taylor expansion of 1 in im 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [taylor]: Taking taylor expansion of 0 in im 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.543 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.544 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.545 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.545 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.545 * [taylor]: Taking taylor expansion of 1/2 in im 0.545 * [backup-simplify]: Simplify 1/2 into 1/2 0.545 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.545 * [taylor]: Taking taylor expansion of im in im 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (* 1 1) into 1 0.546 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.554 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.554 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.554 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.555 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.557 * [backup-simplify]: Simplify (* -1 -1) into 1 0.557 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.561 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.561 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.561 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.561 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.561 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.561 * [taylor]: Taking taylor expansion of -1 in re 0.561 * [backup-simplify]: Simplify -1 into -1 0.561 * [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 * [backup-simplify]: Simplify (/ -1 1) into -1 0.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.562 * [taylor]: Taking taylor expansion of -1 in re 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 0.563 * [backup-simplify]: Simplify (/ -1 1) into -1 0.563 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.563 * [taylor]: Taking taylor expansion of -1 in re 0.563 * [backup-simplify]: Simplify -1 into -1 0.563 * [taylor]: Taking taylor expansion of im in re 0.563 * [backup-simplify]: Simplify im into im 0.563 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.563 * [taylor]: Taking taylor expansion of -1 in re 0.563 * [backup-simplify]: Simplify -1 into -1 0.563 * [taylor]: Taking taylor expansion of im in re 0.563 * [backup-simplify]: Simplify im into im 0.563 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.563 * [backup-simplify]: Simplify (* -1 -1) into 1 0.564 * [backup-simplify]: Simplify (+ 1 0) into 1 0.564 * [backup-simplify]: Simplify (sqrt 1) into 1 0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.568 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.568 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.568 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.568 * [taylor]: Taking taylor expansion of -1 in re 0.568 * [backup-simplify]: Simplify -1 into -1 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ -1 1) into -1 0.568 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.568 * [taylor]: Taking taylor expansion of -1 in re 0.568 * [backup-simplify]: Simplify -1 into -1 0.568 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (/ -1 1) into -1 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [backup-simplify]: Simplify im into im 0.569 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.569 * [taylor]: Taking taylor expansion of -1 in re 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of im in re 0.569 * [backup-simplify]: Simplify im into im 0.569 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.570 * [backup-simplify]: Simplify (* -1 -1) into 1 0.570 * [backup-simplify]: Simplify (+ 1 0) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.573 * [backup-simplify]: Simplify (+ 0 0) into 0 0.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.574 * [taylor]: Taking taylor expansion of 1 in im 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [taylor]: Taking taylor expansion of 0 in im 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.577 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.578 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.579 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.579 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.579 * [taylor]: Taking taylor expansion of 1/2 in im 0.579 * [backup-simplify]: Simplify 1/2 into 1/2 0.579 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.579 * [taylor]: Taking taylor expansion of im in im 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.585 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.586 * [taylor]: Taking taylor expansion of 0 in im 0.586 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.589 * * * [progress]: simplifying candidates 0.589 * * * * [progress]: [ 1 / 54 ] simplifiying candidate # 0.589 * * * * [progress]: [ 2 / 54 ] simplifiying candidate # 0.589 * * * * [progress]: [ 3 / 54 ] simplifiying candidate # 0.589 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 0.589 * * [simplify]: iters left: 4 (5 enodes) 0.591 * * [simplify]: iters left: 3 (15 enodes) 0.595 * * [simplify]: Extracting #0: cost 1 inf + 0 0.595 * * [simplify]: Extracting #1: cost 3 inf + 0 0.595 * * [simplify]: Extracting #2: cost 5 inf + 0 0.595 * * [simplify]: Extracting #3: cost 8 inf + 0 0.595 * * [simplify]: Extracting #4: cost 6 inf + 2 0.596 * * [simplify]: Extracting #5: cost 0 inf + 744 0.596 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 0.596 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re) 2.0)))) 0.596 * * * * [progress]: [ 4 / 54 ] simplifiying candidate # 0.596 * [simplify]: Simplifying (sqrt (hypot re im)) 0.596 * * [simplify]: iters left: 2 (4 enodes) 0.598 * * [simplify]: iters left: 1 (12 enodes) 0.601 * * [simplify]: Extracting #0: cost 1 inf + 0 0.601 * * [simplify]: Extracting #1: cost 3 inf + 0 0.601 * * [simplify]: Extracting #2: cost 6 inf + 0 0.601 * * [simplify]: Extracting #3: cost 4 inf + 2 0.601 * * [simplify]: Extracting #4: cost 0 inf + 310 0.602 * [simplify]: Simplified to (sqrt (hypot re im)) 0.602 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))) 0.602 * * * * [progress]: [ 5 / 54 ] simplifiying candidate # 0.602 * * * * [progress]: [ 6 / 54 ] simplifiying candidate # 0.602 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 0.602 * * [simplify]: iters left: 4 (6 enodes) 0.605 * * [simplify]: iters left: 3 (21 enodes) 0.610 * * [simplify]: iters left: 2 (25 enodes) 0.617 * * [simplify]: Extracting #0: cost 1 inf + 0 0.617 * * [simplify]: Extracting #1: cost 5 inf + 0 0.617 * * [simplify]: Extracting #2: cost 10 inf + 0 0.617 * * [simplify]: Extracting #3: cost 9 inf + 143 0.617 * * [simplify]: Extracting #4: cost 8 inf + 144 0.617 * * [simplify]: Extracting #5: cost 0 inf + 1180 0.618 * * [simplify]: Extracting #6: cost 0 inf + 1040 0.618 * [simplify]: Simplified to (exp (+ re (hypot re im))) 0.618 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (log (exp (+ re (hypot re im)))) 2.0)))) 0.618 * * * * [progress]: [ 7 / 54 ] simplifiying candidate # 0.618 * * * * [progress]: [ 8 / 54 ] simplifiying candidate # 0.618 * * * * [progress]: [ 9 / 54 ] simplifiying candidate # 0.618 * * * * [progress]: [ 10 / 54 ] simplifiying candidate # 0.618 * * * * [progress]: [ 11 / 54 ] simplifiying candidate # 0.618 * * * * [progress]: [ 12 / 54 ] simplifiying candidate # 0.619 * * * * [progress]: [ 13 / 54 ] simplifiying candidate # 0.619 * * * * [progress]: [ 14 / 54 ] simplifiying candidate # 0.619 * * * * [progress]: [ 15 / 54 ] simplifiying candidate # 0.619 * * * * [progress]: [ 16 / 54 ] simplifiying candidate # 0.619 * [simplify]: Simplifying (+ (hypot re im) re) 0.619 * * [simplify]: iters left: 3 (4 enodes) 0.621 * * [simplify]: iters left: 2 (13 enodes) 0.625 * * [simplify]: Extracting #0: cost 1 inf + 0 0.625 * * [simplify]: Extracting #1: cost 4 inf + 0 0.625 * * [simplify]: Extracting #2: cost 5 inf + 1 0.625 * * [simplify]: Extracting #3: cost 4 inf + 2 0.625 * * [simplify]: Extracting #4: cost 0 inf + 310 0.625 * [simplify]: Simplified to (+ re (hypot re im)) 0.625 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 0.625 * * * * [progress]: [ 17 / 54 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))) 2.0))))> 0.625 * * * * [progress]: [ 18 / 54 ] simplifiying candidate # 0.625 * * * * [progress]: [ 19 / 54 ] simplifiying candidate # 0.625 * * * * [progress]: [ 20 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 21 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 22 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 23 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 24 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 25 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 26 / 54 ] simplifiying candidate # 0.626 * * * * [progress]: [ 27 / 54 ] simplifiying candidate # 0.626 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 0.626 * * [simplify]: iters left: 4 (5 enodes) 0.628 * * [simplify]: iters left: 3 (16 enodes) 0.631 * * [simplify]: Extracting #0: cost 1 inf + 0 0.631 * * [simplify]: Extracting #1: cost 3 inf + 0 0.631 * * [simplify]: Extracting #2: cost 6 inf + 0 0.631 * * [simplify]: Extracting #3: cost 7 inf + 1 0.632 * * [simplify]: Extracting #4: cost 0 inf + 584 0.632 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 0.632 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 0.632 * * * * [progress]: [ 28 / 54 ] simplifiying candidate # 0.632 * [simplify]: Simplifying (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0)) 0.632 * * [simplify]: iters left: 6 (10 enodes) 0.635 * * [simplify]: iters left: 5 (45 enodes) 0.645 * * [simplify]: iters left: 4 (86 enodes) 0.665 * * [simplify]: iters left: 3 (171 enodes) 0.698 * * [simplify]: iters left: 2 (295 enodes) 0.778 * * [simplify]: Extracting #0: cost 1 inf + 0 0.778 * * [simplify]: Extracting #1: cost 3 inf + 0 0.779 * * [simplify]: Extracting #2: cost 10 inf + 0 0.779 * * [simplify]: Extracting #3: cost 52 inf + 1 0.779 * * [simplify]: Extracting #4: cost 109 inf + 3 0.781 * * [simplify]: Extracting #5: cost 89 inf + 4660 0.784 * * [simplify]: Extracting #6: cost 39 inf + 21680 0.787 * * [simplify]: Extracting #7: cost 7 inf + 36578 0.791 * * [simplify]: Extracting #8: cost 0 inf + 39501 0.794 * [simplify]: Simplified to (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) 0.794 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))) 0.794 * * * * [progress]: [ 29 / 54 ] simplifiying candidate # 0.795 * [simplify]: Simplifying (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 0.795 * * [simplify]: iters left: 6 (9 enodes) 0.797 * * [simplify]: iters left: 5 (34 enodes) 0.802 * * [simplify]: iters left: 4 (57 enodes) 0.813 * * [simplify]: iters left: 3 (123 enodes) 0.873 * * [simplify]: iters left: 2 (313 enodes) 1.005 * * [simplify]: Extracting #0: cost 1 inf + 0 1.005 * * [simplify]: Extracting #1: cost 3 inf + 0 1.005 * * [simplify]: Extracting #2: cost 65 inf + 0 1.006 * * [simplify]: Extracting #3: cost 134 inf + 207 1.007 * * [simplify]: Extracting #4: cost 104 inf + 5633 1.012 * * [simplify]: Extracting #5: cost 18 inf + 21924 1.018 * * [simplify]: Extracting #6: cost 0 inf + 24348 1.025 * [simplify]: Simplified to (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 1.025 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (- (hypot re im) re))))) 1.025 * * * * [progress]: [ 30 / 54 ] simplifiying candidate # 1.025 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.025 * * [simplify]: iters left: 5 (6 enodes) 1.027 * * [simplify]: iters left: 4 (20 enodes) 1.033 * * [simplify]: iters left: 3 (28 enodes) 1.042 * * [simplify]: iters left: 2 (40 enodes) 1.051 * * [simplify]: Extracting #0: cost 1 inf + 0 1.051 * * [simplify]: Extracting #1: cost 8 inf + 0 1.052 * * [simplify]: Extracting #2: cost 11 inf + 2 1.052 * * [simplify]: Extracting #3: cost 9 inf + 45 1.052 * * [simplify]: Extracting #4: cost 2 inf + 632 1.052 * * [simplify]: Extracting #5: cost 0 inf + 867 1.053 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.053 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.053 * * * * [progress]: [ 31 / 54 ] simplifiying candidate # 1.053 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.054 * * [simplify]: iters left: 5 (6 enodes) 1.057 * * [simplify]: iters left: 4 (20 enodes) 1.063 * * [simplify]: iters left: 3 (28 enodes) 1.073 * * [simplify]: iters left: 2 (40 enodes) 1.081 * * [simplify]: Extracting #0: cost 1 inf + 0 1.081 * * [simplify]: Extracting #1: cost 8 inf + 0 1.081 * * [simplify]: Extracting #2: cost 11 inf + 2 1.082 * * [simplify]: Extracting #3: cost 9 inf + 45 1.082 * * [simplify]: Extracting #4: cost 2 inf + 632 1.082 * * [simplify]: Extracting #5: cost 0 inf + 867 1.083 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.083 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.083 * * * * [progress]: [ 32 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 33 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 34 / 54 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (hypot re im) re) 2.0))))))> 1.083 * * * * [progress]: [ 35 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 36 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 37 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 38 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 39 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 40 / 54 ] simplifiying candidate # 1.083 * * * * [progress]: [ 41 / 54 ] simplifiying candidate # 1.084 * * * * [progress]: [ 42 / 54 ] simplifiying candidate # 1.084 * * * * [progress]: [ 43 / 54 ] simplifiying candidate # 1.084 * * * * [progress]: [ 44 / 54 ] simplifiying candidate # 1.084 * * * * [progress]: [ 45 / 54 ] simplifiying candidate #real (real->posit16 (hypot re im))) re) 2.0))))> 1.084 * * * * [progress]: [ 46 / 54 ] simplifiying candidate # 1.084 * [simplify]: Simplifying (+ re im) 1.084 * * [simplify]: iters left: 2 (3 enodes) 1.085 * * [simplify]: iters left: 1 (10 enodes) 1.088 * * [simplify]: Extracting #0: cost 1 inf + 0 1.088 * * [simplify]: Extracting #1: cost 4 inf + 0 1.088 * * [simplify]: Extracting #2: cost 2 inf + 2 1.088 * * [simplify]: Extracting #3: cost 0 inf + 86 1.088 * [simplify]: Simplified to (+ im re) 1.088 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 1.088 * * * * [progress]: [ 47 / 54 ] simplifiying candidate # 1.089 * [simplify]: Simplifying (* 2 re) 1.089 * * [simplify]: iters left: 2 (3 enodes) 1.091 * * [simplify]: iters left: 1 (10 enodes) 1.094 * * [simplify]: Extracting #0: cost 1 inf + 0 1.094 * * [simplify]: Extracting #1: cost 4 inf + 0 1.094 * * [simplify]: Extracting #2: cost 2 inf + 2 1.094 * * [simplify]: Extracting #3: cost 0 inf + 86 1.094 * [simplify]: Simplified to (* 2 re) 1.094 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 1.094 * * * * [progress]: [ 48 / 54 ] simplifiying candidate # 1.094 * [simplify]: Simplifying 0 1.094 * * [simplify]: iters left: 0 (1 enodes) 1.095 * * [simplify]: Extracting #0: cost 1 inf + 0 1.095 * * [simplify]: Extracting #1: cost 0 inf + 1 1.095 * [simplify]: Simplified to 0 1.095 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 1.096 * * * * [progress]: [ 49 / 54 ] simplifiying candidate # 1.096 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 1.096 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 1.096 * * * * [progress]: [ 50 / 54 ] simplifiying candidate # 1.096 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.096 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 1.096 * * * * [progress]: [ 51 / 54 ] simplifiying candidate # 1.097 * [simplify]: Simplifying 0 1.097 * * [simplify]: iters left: 0 (1 enodes) 1.098 * * [simplify]: Extracting #0: cost 1 inf + 0 1.098 * * [simplify]: Extracting #1: cost 0 inf + 1 1.098 * [simplify]: Simplified to 0 1.098 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 1.098 * * * * [progress]: [ 52 / 54 ] simplifiying candidate # 1.098 * [simplify]: Simplifying im 1.098 * * [simplify]: iters left: 0 (1 enodes) 1.099 * * [simplify]: Extracting #0: cost 1 inf + 0 1.099 * * [simplify]: Extracting #1: cost 0 inf + 1 1.099 * [simplify]: Simplified to im 1.099 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 1.099 * * * * [progress]: [ 53 / 54 ] simplifiying candidate # 1.099 * [simplify]: Simplifying re 1.099 * * [simplify]: iters left: 0 (1 enodes) 1.100 * * [simplify]: Extracting #0: cost 1 inf + 0 1.100 * * [simplify]: Extracting #1: cost 0 inf + 1 1.100 * [simplify]: Simplified to re 1.100 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0)))) 1.100 * * * * [progress]: [ 54 / 54 ] simplifiying candidate # 1.100 * [simplify]: Simplifying (* -1 re) 1.100 * * [simplify]: iters left: 2 (3 enodes) 1.102 * * [simplify]: iters left: 1 (11 enodes) 1.105 * * [simplify]: Extracting #0: cost 1 inf + 0 1.105 * * [simplify]: Extracting #1: cost 4 inf + 0 1.105 * * [simplify]: Extracting #2: cost 0 inf + 84 1.105 * [simplify]: Simplified to (- re) 1.105 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (- re) re) 2.0)))) 1.105 * * * [progress]: adding candidates to table 1.608 * * [progress]: iteration 2 / 4 1.608 * * * [progress]: picking best candidate 1.675 * * * * [pick]: Picked # 1.675 * * * [progress]: localizing error 1.692 * * * [progress]: generating rewritten candidates 1.692 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.696 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.718 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 1.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.731 * * * [progress]: generating series expansions 1.731 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.731 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 1.731 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 1.731 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 1.731 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.731 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.731 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.731 * [taylor]: Taking taylor expansion of (* re re) in im 1.731 * [taylor]: Taking taylor expansion of re in im 1.731 * [backup-simplify]: Simplify re into re 1.731 * [taylor]: Taking taylor expansion of re in im 1.731 * [backup-simplify]: Simplify re into re 1.731 * [taylor]: Taking taylor expansion of (* im im) in im 1.731 * [taylor]: Taking taylor expansion of im in im 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [taylor]: Taking taylor expansion of im in im 1.731 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify 1 into 1 1.732 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.732 * [backup-simplify]: Simplify (* 0 0) into 0 1.732 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.733 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.733 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.733 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.734 * [taylor]: Taking taylor expansion of re in im 1.734 * [backup-simplify]: Simplify re into re 1.734 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.734 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.734 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.734 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.734 * [taylor]: Taking taylor expansion of (* re re) in re 1.734 * [taylor]: Taking taylor expansion of re in re 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of re in re 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [taylor]: Taking taylor expansion of (* im im) in re 1.734 * [taylor]: Taking taylor expansion of im in re 1.734 * [backup-simplify]: Simplify im into im 1.734 * [taylor]: Taking taylor expansion of im in re 1.734 * [backup-simplify]: Simplify im into im 1.735 * [backup-simplify]: Simplify (* 0 0) into 0 1.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.735 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.735 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.736 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.736 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.737 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.737 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.737 * [taylor]: Taking taylor expansion of (* re re) in re 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of re in re 1.737 * [backup-simplify]: Simplify 0 into 0 1.737 * [backup-simplify]: Simplify 1 into 1 1.737 * [taylor]: Taking taylor expansion of (* im im) in re 1.737 * [taylor]: Taking taylor expansion of im in re 1.737 * [backup-simplify]: Simplify im into im 1.737 * [taylor]: Taking taylor expansion of im in re 1.737 * [backup-simplify]: Simplify im into im 1.737 * [backup-simplify]: Simplify (* 0 0) into 0 1.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.738 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.738 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.738 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.738 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.739 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.739 * [taylor]: Taking taylor expansion of re in re 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (+ im 0) into im 1.739 * [taylor]: Taking taylor expansion of im in im 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (+ 0 1) into 1 1.740 * [taylor]: Taking taylor expansion of 1 in im 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify 1 into 1 1.740 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.741 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.742 * [backup-simplify]: Simplify (+ 1 0) into 1 1.742 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.742 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.742 * [taylor]: Taking taylor expansion of 1/2 in im 1.743 * [backup-simplify]: Simplify 1/2 into 1/2 1.743 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.743 * [taylor]: Taking taylor expansion of im in im 1.743 * [backup-simplify]: Simplify 0 into 0 1.743 * [backup-simplify]: Simplify 1 into 1 1.743 * [backup-simplify]: Simplify (/ 1 1) into 1 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.747 * [taylor]: Taking taylor expansion of 0 in im 1.747 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.749 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify 0 into 0 1.750 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.750 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1.750 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.750 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.750 * [taylor]: Taking taylor expansion of re in im 1.750 * [backup-simplify]: Simplify re into re 1.750 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.750 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.750 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.750 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.750 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.750 * [taylor]: Taking taylor expansion of re in im 1.750 * [backup-simplify]: Simplify re into re 1.750 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.750 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.750 * [taylor]: Taking taylor expansion of re in im 1.750 * [backup-simplify]: Simplify re into re 1.750 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.751 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.751 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.751 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.751 * [taylor]: Taking taylor expansion of im in im 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [backup-simplify]: Simplify (* 1 1) into 1 1.752 * [backup-simplify]: Simplify (+ 0 1) into 1 1.753 * [backup-simplify]: Simplify (sqrt 1) into 1 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.756 * [backup-simplify]: Simplify (+ 0 0) into 0 1.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.756 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.756 * [taylor]: Taking taylor expansion of re in re 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.757 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.757 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.757 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.757 * [taylor]: Taking taylor expansion of re in re 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.758 * [taylor]: Taking taylor expansion of re in re 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (/ 1 1) into 1 1.758 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.758 * [backup-simplify]: Simplify im into im 1.758 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.758 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.758 * [taylor]: Taking taylor expansion of im in re 1.758 * [backup-simplify]: Simplify im into im 1.758 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.759 * [backup-simplify]: Simplify (* 1 1) into 1 1.759 * [backup-simplify]: Simplify (+ 1 0) into 1 1.760 * [backup-simplify]: Simplify (sqrt 1) into 1 1.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.763 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.763 * [taylor]: Taking taylor expansion of re in re 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (/ 1 1) into 1 1.763 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.763 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.763 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.763 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.764 * [taylor]: Taking taylor expansion of re in re 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.764 * [taylor]: Taking taylor expansion of re in re 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ 1 1) into 1 1.764 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.765 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.765 * [taylor]: Taking taylor expansion of im in re 1.765 * [backup-simplify]: Simplify im into im 1.765 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.765 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.765 * [taylor]: Taking taylor expansion of im in re 1.765 * [backup-simplify]: Simplify im into im 1.765 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.765 * [backup-simplify]: Simplify (* 1 1) into 1 1.766 * [backup-simplify]: Simplify (+ 1 0) into 1 1.766 * [backup-simplify]: Simplify (sqrt 1) into 1 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.768 * [backup-simplify]: Simplify (+ 0 0) into 0 1.769 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.770 * [backup-simplify]: Simplify (+ 1 1) into 2 1.770 * [taylor]: Taking taylor expansion of 2 in im 1.770 * [backup-simplify]: Simplify 2 into 2 1.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.771 * [taylor]: Taking taylor expansion of 0 in im 1.771 * [backup-simplify]: Simplify 0 into 0 1.771 * [backup-simplify]: Simplify 2 into 2 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.782 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.783 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.783 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.783 * [taylor]: Taking taylor expansion of 1/2 in im 1.783 * [backup-simplify]: Simplify 1/2 into 1/2 1.783 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.783 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.783 * [taylor]: Taking taylor expansion of im in im 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 1 into 1 1.784 * [backup-simplify]: Simplify (* 1 1) into 1 1.784 * [backup-simplify]: Simplify (/ 1 1) into 1 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.791 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [taylor]: Taking taylor expansion of 0 in im 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.795 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.795 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.795 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.795 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.795 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.795 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.795 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.795 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.795 * [taylor]: Taking taylor expansion of -1 in im 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [taylor]: Taking taylor expansion of re in im 1.796 * [backup-simplify]: Simplify re into re 1.796 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.796 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.796 * [taylor]: Taking taylor expansion of -1 in im 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [taylor]: Taking taylor expansion of re in im 1.796 * [backup-simplify]: Simplify re into re 1.796 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.796 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.796 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.796 * [taylor]: Taking taylor expansion of -1 in im 1.796 * [backup-simplify]: Simplify -1 into -1 1.796 * [taylor]: Taking taylor expansion of im in im 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (/ -1 1) into -1 1.797 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.797 * [taylor]: Taking taylor expansion of -1 in im 1.797 * [backup-simplify]: Simplify -1 into -1 1.797 * [taylor]: Taking taylor expansion of im in im 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ -1 1) into -1 1.797 * [backup-simplify]: Simplify (* -1 -1) into 1 1.798 * [backup-simplify]: Simplify (+ 0 1) into 1 1.798 * [backup-simplify]: Simplify (sqrt 1) into 1 1.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.802 * [taylor]: Taking taylor expansion of re in im 1.802 * [backup-simplify]: Simplify re into re 1.802 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.802 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.802 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.802 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.802 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.802 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.802 * [taylor]: Taking taylor expansion of -1 in re 1.802 * [backup-simplify]: Simplify -1 into -1 1.802 * [taylor]: Taking taylor expansion of re in re 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (/ -1 1) into -1 1.803 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.803 * [taylor]: Taking taylor expansion of -1 in re 1.803 * [backup-simplify]: Simplify -1 into -1 1.803 * [taylor]: Taking taylor expansion of re in re 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (/ -1 1) into -1 1.803 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.803 * [taylor]: Taking taylor expansion of -1 in re 1.803 * [backup-simplify]: Simplify -1 into -1 1.803 * [taylor]: Taking taylor expansion of im in re 1.803 * [backup-simplify]: Simplify im into im 1.803 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.803 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.803 * [taylor]: Taking taylor expansion of -1 in re 1.804 * [backup-simplify]: Simplify -1 into -1 1.804 * [taylor]: Taking taylor expansion of im in re 1.804 * [backup-simplify]: Simplify im into im 1.804 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.804 * [backup-simplify]: Simplify (* -1 -1) into 1 1.805 * [backup-simplify]: Simplify (+ 1 0) into 1 1.805 * [backup-simplify]: Simplify (sqrt 1) into 1 1.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.808 * [backup-simplify]: Simplify (+ 0 0) into 0 1.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.808 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.808 * [taylor]: Taking taylor expansion of re in re 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (/ 1 1) into 1 1.809 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.809 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.809 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.809 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.809 * [taylor]: Taking taylor expansion of -1 in re 1.809 * [backup-simplify]: Simplify -1 into -1 1.809 * [taylor]: Taking taylor expansion of re in re 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (/ -1 1) into -1 1.810 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.810 * [taylor]: Taking taylor expansion of -1 in re 1.810 * [backup-simplify]: Simplify -1 into -1 1.810 * [taylor]: Taking taylor expansion of re in re 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (/ -1 1) into -1 1.810 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.810 * [taylor]: Taking taylor expansion of -1 in re 1.810 * [backup-simplify]: Simplify -1 into -1 1.810 * [taylor]: Taking taylor expansion of im in re 1.810 * [backup-simplify]: Simplify im into im 1.810 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.810 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.810 * [taylor]: Taking taylor expansion of -1 in re 1.810 * [backup-simplify]: Simplify -1 into -1 1.810 * [taylor]: Taking taylor expansion of im in re 1.811 * [backup-simplify]: Simplify im into im 1.811 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.811 * [backup-simplify]: Simplify (* -1 -1) into 1 1.811 * [backup-simplify]: Simplify (+ 1 0) into 1 1.812 * [backup-simplify]: Simplify (sqrt 1) into 1 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.815 * [taylor]: Taking taylor expansion of re in re 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [backup-simplify]: Simplify (- 1) into -1 1.817 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.817 * [taylor]: Taking taylor expansion of 0 in im 1.817 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [taylor]: Taking taylor expansion of 0 in im 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.821 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.823 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (- 0) into 0 1.824 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.824 * [taylor]: Taking taylor expansion of 1/2 in im 1.824 * [backup-simplify]: Simplify 1/2 into 1/2 1.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.824 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.824 * [taylor]: Taking taylor expansion of im in im 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.825 * [backup-simplify]: Simplify (/ 1 1) into 1 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.831 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.831 * [backup-simplify]: Simplify (+ 0 0) into 0 1.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.834 * [backup-simplify]: Simplify (+ 0 0) into 0 1.834 * [taylor]: Taking taylor expansion of 0 in im 1.834 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.837 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1.838 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0 1.838 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 1.838 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 1.838 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.838 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.838 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.838 * [taylor]: Taking taylor expansion of (* re re) in im 1.838 * [taylor]: Taking taylor expansion of re in im 1.838 * [backup-simplify]: Simplify re into re 1.838 * [taylor]: Taking taylor expansion of re in im 1.838 * [backup-simplify]: Simplify re into re 1.838 * [taylor]: Taking taylor expansion of (* im im) in im 1.838 * [taylor]: Taking taylor expansion of im in im 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of im in im 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.838 * [backup-simplify]: Simplify (* 0 0) into 0 1.839 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.839 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.839 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.839 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.840 * [taylor]: Taking taylor expansion of re in im 1.840 * [backup-simplify]: Simplify re into re 1.840 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.840 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 1.840 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 1.841 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.841 * [taylor]: Taking taylor expansion of 2.0 in im 1.841 * [backup-simplify]: Simplify 2.0 into 2.0 1.841 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.842 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 1.842 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 1.842 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.842 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.842 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.842 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.842 * [taylor]: Taking taylor expansion of (* re re) in re 1.842 * [taylor]: Taking taylor expansion of re in re 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of re in re 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (* im im) in re 1.842 * [taylor]: Taking taylor expansion of im in re 1.842 * [backup-simplify]: Simplify im into im 1.842 * [taylor]: Taking taylor expansion of im in re 1.842 * [backup-simplify]: Simplify im into im 1.843 * [backup-simplify]: Simplify (* 0 0) into 0 1.843 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.843 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.843 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.844 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.844 * [taylor]: Taking taylor expansion of re in re 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 1 into 1 1.844 * [backup-simplify]: Simplify (+ im 0) into im 1.844 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.845 * [backup-simplify]: Simplify (+ 0 1) into 1 1.845 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 1.845 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.845 * [taylor]: Taking taylor expansion of 2.0 in re 1.845 * [backup-simplify]: Simplify 2.0 into 2.0 1.845 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.846 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 1.846 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 1.846 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.846 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.846 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.846 * [taylor]: Taking taylor expansion of (* re re) in re 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of re in re 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.847 * [taylor]: Taking taylor expansion of (* im im) in re 1.847 * [taylor]: Taking taylor expansion of im in re 1.847 * [backup-simplify]: Simplify im into im 1.847 * [taylor]: Taking taylor expansion of im in re 1.847 * [backup-simplify]: Simplify im into im 1.847 * [backup-simplify]: Simplify (* 0 0) into 0 1.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.847 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.847 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.848 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.848 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.848 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (+ im 0) into im 1.849 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.849 * [backup-simplify]: Simplify (+ 0 1) into 1 1.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 1.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.849 * [taylor]: Taking taylor expansion of 2.0 in re 1.849 * [backup-simplify]: Simplify 2.0 into 2.0 1.850 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.851 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 1.851 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.851 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.851 * [taylor]: Taking taylor expansion of 2.0 in im 1.851 * [backup-simplify]: Simplify 2.0 into 2.0 1.852 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.852 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.852 * [taylor]: Taking taylor expansion of im in im 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (sqrt 0) into 0 1.854 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.855 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 1.855 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.855 * [taylor]: Taking taylor expansion of 1/2 in im 1.855 * [backup-simplify]: Simplify 1/2 into 1/2 1.855 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.855 * [taylor]: Taking taylor expansion of 2.0 in im 1.855 * [backup-simplify]: Simplify 2.0 into 2.0 1.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.856 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.856 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.856 * [taylor]: Taking taylor expansion of im in im 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [backup-simplify]: Simplify (sqrt 0) into 0 1.857 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.858 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.859 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.862 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.863 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.864 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.865 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.866 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.866 * [backup-simplify]: Simplify (+ 1 0) into 1 1.866 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.866 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.867 * [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)))) 1.867 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 1.867 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.867 * [taylor]: Taking taylor expansion of 1/8 in im 1.867 * [backup-simplify]: Simplify 1/8 into 1/8 1.867 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.867 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.867 * [taylor]: Taking taylor expansion of 2.0 in im 1.867 * [backup-simplify]: Simplify 2.0 into 2.0 1.868 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.868 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.868 * [taylor]: Taking taylor expansion of im in im 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [backup-simplify]: Simplify (sqrt 0) into 0 1.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.873 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.875 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.876 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.876 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.879 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.880 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.884 * [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))))))) 1.884 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 1.884 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 1.884 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.884 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.884 * [taylor]: Taking taylor expansion of 2.0 in im 1.884 * [backup-simplify]: Simplify 2.0 into 2.0 1.885 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.886 * [taylor]: Taking taylor expansion of re in im 1.886 * [backup-simplify]: Simplify re into re 1.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.886 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.886 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.886 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.886 * [taylor]: Taking taylor expansion of re in im 1.886 * [backup-simplify]: Simplify re into re 1.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.886 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.886 * [taylor]: Taking taylor expansion of re in im 1.886 * [backup-simplify]: Simplify re into re 1.886 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.886 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.886 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.886 * [taylor]: Taking taylor expansion of im in im 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.887 * [taylor]: Taking taylor expansion of im in im 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (+ 0 1) into 1 1.888 * [backup-simplify]: Simplify (sqrt 1) into 1 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.892 * [backup-simplify]: Simplify (+ 0 1) into 1 1.892 * [backup-simplify]: Simplify (sqrt 0) into 0 1.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.894 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.894 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.894 * [taylor]: Taking taylor expansion of 2.0 in re 1.894 * [backup-simplify]: Simplify 2.0 into 2.0 1.894 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.895 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.895 * [taylor]: Taking taylor expansion of re in re 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.895 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.895 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.895 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.895 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.896 * [taylor]: Taking taylor expansion of re in re 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (/ 1 1) into 1 1.896 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.896 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.896 * [taylor]: Taking taylor expansion of im in re 1.896 * [backup-simplify]: Simplify im into im 1.897 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.897 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.897 * [taylor]: Taking taylor expansion of im in re 1.897 * [backup-simplify]: Simplify im into im 1.897 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (+ 1 0) into 1 1.898 * [backup-simplify]: Simplify (sqrt 1) into 1 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.899 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.905 * [backup-simplify]: Simplify (+ 1 1) into 2 1.905 * [backup-simplify]: Simplify (sqrt 0) into 0 1.906 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.906 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.906 * [taylor]: Taking taylor expansion of 2.0 in re 1.906 * [backup-simplify]: Simplify 2.0 into 2.0 1.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.907 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.907 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.907 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.907 * [taylor]: Taking taylor expansion of re in re 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (/ 1 1) into 1 1.907 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.907 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.907 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.907 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.908 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [backup-simplify]: Simplify im into im 1.908 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.908 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [backup-simplify]: Simplify im into im 1.908 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.909 * [backup-simplify]: Simplify (+ 1 0) into 1 1.909 * [backup-simplify]: Simplify (sqrt 1) into 1 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.911 * [backup-simplify]: Simplify (+ 1 1) into 2 1.911 * [backup-simplify]: Simplify (sqrt 0) into 0 1.912 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.912 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.913 * [taylor]: Taking taylor expansion of 0 in im 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.914 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.914 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.914 * [taylor]: Taking taylor expansion of +nan.0 in im 1.914 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.914 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.914 * [taylor]: Taking taylor expansion of 2.0 in im 1.914 * [backup-simplify]: Simplify 2.0 into 2.0 1.914 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.914 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.917 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.918 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.919 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.919 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.919 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.919 * [taylor]: Taking taylor expansion of +nan.0 in im 1.919 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.919 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.919 * [taylor]: Taking taylor expansion of 2.0 in im 1.919 * [backup-simplify]: Simplify 2.0 into 2.0 1.919 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.920 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.921 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.922 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.922 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.924 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.924 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.925 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.925 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.926 * [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)) 1.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.928 * [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)))))) 1.928 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.928 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.928 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.928 * [taylor]: Taking taylor expansion of +nan.0 in im 1.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.928 * [taylor]: Taking taylor expansion of 2.0 in im 1.928 * [backup-simplify]: Simplify 2.0 into 2.0 1.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.929 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.929 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.929 * [taylor]: Taking taylor expansion of +nan.0 in im 1.929 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.929 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.929 * [taylor]: Taking taylor expansion of 2.0 in im 1.929 * [backup-simplify]: Simplify 2.0 into 2.0 1.929 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.930 * [taylor]: Taking taylor expansion of im in im 1.930 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify 1 into 1 1.930 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.934 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.935 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.936 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.939 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [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))) 1.941 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.942 * [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)))))) 1.942 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.942 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.942 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.942 * [taylor]: Taking taylor expansion of +nan.0 in im 1.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.942 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.942 * [taylor]: Taking taylor expansion of 2.0 in im 1.942 * [backup-simplify]: Simplify 2.0 into 2.0 1.942 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.943 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.943 * [taylor]: Taking taylor expansion of +nan.0 in im 1.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.943 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.943 * [taylor]: Taking taylor expansion of 2.0 in im 1.943 * [backup-simplify]: Simplify 2.0 into 2.0 1.943 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.944 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.944 * [taylor]: Taking taylor expansion of im in im 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.948 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.954 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.955 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.960 * [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)))))))) 1.961 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt 2.0)) into (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) 1.961 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.961 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.961 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.961 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.961 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.961 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.961 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.961 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.961 * [taylor]: Taking taylor expansion of -1 in im 1.961 * [backup-simplify]: Simplify -1 into -1 1.961 * [taylor]: Taking taylor expansion of re in im 1.961 * [backup-simplify]: Simplify re into re 1.961 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.961 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.961 * [taylor]: Taking taylor expansion of -1 in im 1.961 * [backup-simplify]: Simplify -1 into -1 1.961 * [taylor]: Taking taylor expansion of re in im 1.961 * [backup-simplify]: Simplify re into re 1.961 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.961 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.962 * [taylor]: Taking taylor expansion of -1 in im 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (/ -1 1) into -1 1.962 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.962 * [taylor]: Taking taylor expansion of -1 in im 1.962 * [backup-simplify]: Simplify -1 into -1 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (/ -1 1) into -1 1.963 * [backup-simplify]: Simplify (* -1 -1) into 1 1.963 * [backup-simplify]: Simplify (+ 0 1) into 1 1.964 * [backup-simplify]: Simplify (sqrt 1) into 1 1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.967 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.967 * [taylor]: Taking taylor expansion of re in im 1.967 * [backup-simplify]: Simplify re into re 1.967 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.968 * [backup-simplify]: Simplify (+ 1 0) into 1 1.968 * [backup-simplify]: Simplify (sqrt 0) into 0 1.970 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.970 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.970 * [taylor]: Taking taylor expansion of 2.0 in im 1.970 * [backup-simplify]: Simplify 2.0 into 2.0 1.970 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.971 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.971 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.971 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.971 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.971 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.971 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.971 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.971 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.971 * [taylor]: Taking taylor expansion of -1 in re 1.971 * [backup-simplify]: Simplify -1 into -1 1.971 * [taylor]: Taking taylor expansion of re in re 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ -1 1) into -1 1.972 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.972 * [taylor]: Taking taylor expansion of -1 in re 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of re in re 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 1 into 1 1.972 * [backup-simplify]: Simplify (/ -1 1) into -1 1.972 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.972 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.972 * [taylor]: Taking taylor expansion of -1 in re 1.972 * [backup-simplify]: Simplify -1 into -1 1.972 * [taylor]: Taking taylor expansion of im in re 1.972 * [backup-simplify]: Simplify im into im 1.972 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.972 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.972 * [taylor]: Taking taylor expansion of -1 in re 1.973 * [backup-simplify]: Simplify -1 into -1 1.973 * [taylor]: Taking taylor expansion of im in re 1.973 * [backup-simplify]: Simplify im into im 1.973 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.973 * [backup-simplify]: Simplify (* -1 -1) into 1 1.973 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (sqrt 1) into 1 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.977 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.977 * [taylor]: Taking taylor expansion of re in re 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.978 * [backup-simplify]: Simplify (/ 1 1) into 1 1.978 * [backup-simplify]: Simplify (- 1) into -1 1.978 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.983 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.985 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.986 * [backup-simplify]: Simplify (sqrt 0) into 0 1.987 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.987 * [taylor]: Taking taylor expansion of 2.0 in re 1.987 * [backup-simplify]: Simplify 2.0 into 2.0 1.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.988 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.988 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.988 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.988 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.989 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.989 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.989 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.989 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.989 * [taylor]: Taking taylor expansion of -1 in re 1.989 * [backup-simplify]: Simplify -1 into -1 1.989 * [taylor]: Taking taylor expansion of re in re 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (/ -1 1) into -1 1.989 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.989 * [taylor]: Taking taylor expansion of -1 in re 1.989 * [backup-simplify]: Simplify -1 into -1 1.989 * [taylor]: Taking taylor expansion of re in re 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ -1 1) into -1 1.990 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.990 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.990 * [taylor]: Taking taylor expansion of -1 in re 1.990 * [backup-simplify]: Simplify -1 into -1 1.990 * [taylor]: Taking taylor expansion of im in re 1.990 * [backup-simplify]: Simplify im into im 1.990 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.990 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.990 * [taylor]: Taking taylor expansion of -1 in re 1.990 * [backup-simplify]: Simplify -1 into -1 1.990 * [taylor]: Taking taylor expansion of im in re 1.990 * [backup-simplify]: Simplify im into im 1.990 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.991 * [backup-simplify]: Simplify (* -1 -1) into 1 1.991 * [backup-simplify]: Simplify (+ 1 0) into 1 1.991 * [backup-simplify]: Simplify (sqrt 1) into 1 1.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.995 * [taylor]: Taking taylor expansion of re in re 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.996 * [backup-simplify]: Simplify (- 1) into -1 1.996 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (- 0) into 0 1.998 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.001 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- 0) into 0 2.003 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.004 * [backup-simplify]: Simplify (sqrt 0) into 0 2.004 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.005 * [taylor]: Taking taylor expansion of 2.0 in re 2.005 * [backup-simplify]: Simplify 2.0 into 2.0 2.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.006 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 2.006 * [taylor]: Taking taylor expansion of 0 in im 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 2.007 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.007 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.008 * [taylor]: Taking taylor expansion of +nan.0 in im 2.008 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.008 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.008 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.008 * [taylor]: Taking taylor expansion of 2.0 in im 2.008 * [backup-simplify]: Simplify 2.0 into 2.0 2.008 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.009 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.009 * [taylor]: Taking taylor expansion of im in im 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.010 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.013 * [backup-simplify]: Simplify (- 0) into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.024 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.025 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.025 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.028 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 2.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 2.029 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.029 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.029 * [taylor]: Taking taylor expansion of +nan.0 in im 2.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.029 * [taylor]: Taking taylor expansion of 2.0 in im 2.030 * [backup-simplify]: Simplify 2.0 into 2.0 2.030 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.031 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.031 * [taylor]: Taking taylor expansion of im in im 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.032 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.045 * [backup-simplify]: Simplify (- 0) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.050 * [backup-simplify]: Simplify (- 0) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.057 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (- 0) into 0 2.058 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 2.059 * [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))))) 2.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 2.060 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.060 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.061 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.061 * [taylor]: Taking taylor expansion of +nan.0 in im 2.061 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.061 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.061 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.061 * [taylor]: Taking taylor expansion of 2.0 in im 2.061 * [backup-simplify]: Simplify 2.0 into 2.0 2.061 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.062 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.062 * [taylor]: Taking taylor expansion of im in im 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.063 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.064 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.064 * [taylor]: Taking taylor expansion of +nan.0 in im 2.064 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.064 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.064 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.064 * [taylor]: Taking taylor expansion of 2.0 in im 2.064 * [backup-simplify]: Simplify 2.0 into 2.0 2.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.065 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.065 * [taylor]: Taking taylor expansion of im in im 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.066 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.081 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.082 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.083 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [backup-simplify]: Simplify (- 0) into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.108 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 2.108 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.108 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.108 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.108 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.108 * [taylor]: Taking taylor expansion of (* re re) in im 2.108 * [taylor]: Taking taylor expansion of re in im 2.108 * [backup-simplify]: Simplify re into re 2.108 * [taylor]: Taking taylor expansion of re in im 2.108 * [backup-simplify]: Simplify re into re 2.108 * [taylor]: Taking taylor expansion of (* im im) in im 2.108 * [taylor]: Taking taylor expansion of im in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of im in im 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.108 * [backup-simplify]: Simplify (* 0 0) into 0 2.108 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.108 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.108 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.109 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.109 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.109 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.109 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.109 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.109 * [taylor]: Taking taylor expansion of (* re re) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of (* im im) in re 2.109 * [taylor]: Taking taylor expansion of im in re 2.109 * [backup-simplify]: Simplify im into im 2.109 * [taylor]: Taking taylor expansion of im in re 2.109 * [backup-simplify]: Simplify im into im 2.110 * [backup-simplify]: Simplify (* 0 0) into 0 2.110 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.110 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.110 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.110 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.110 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.111 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.111 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.111 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.111 * [taylor]: Taking taylor expansion of (* re re) in re 2.111 * [taylor]: Taking taylor expansion of re in re 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of re in re 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [taylor]: Taking taylor expansion of (* im im) in re 2.111 * [taylor]: Taking taylor expansion of im in re 2.111 * [backup-simplify]: Simplify im into im 2.111 * [taylor]: Taking taylor expansion of im in re 2.111 * [backup-simplify]: Simplify im into im 2.111 * [backup-simplify]: Simplify (* 0 0) into 0 2.111 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.111 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.111 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.112 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.112 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.112 * [backup-simplify]: Simplify (+ 0 0) into 0 2.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.112 * [taylor]: Taking taylor expansion of im in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [taylor]: Taking taylor expansion of 0 in im 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify 1 into 1 2.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.113 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.113 * [backup-simplify]: Simplify (+ 1 0) into 1 2.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.114 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.114 * [taylor]: Taking taylor expansion of 1/2 in im 2.114 * [backup-simplify]: Simplify 1/2 into 1/2 2.114 * [taylor]: Taking taylor expansion of im in im 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.116 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.116 * [taylor]: Taking taylor expansion of 0 in im 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.117 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 2.117 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.117 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.117 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.117 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.117 * [taylor]: Taking taylor expansion of re in im 2.117 * [backup-simplify]: Simplify re into re 2.117 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.117 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.117 * [taylor]: Taking taylor expansion of re in im 2.117 * [backup-simplify]: Simplify re into re 2.117 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.117 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.117 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.117 * [taylor]: Taking taylor expansion of im in im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.118 * [taylor]: Taking taylor expansion of im in im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (+ 0 1) into 1 2.119 * [backup-simplify]: Simplify (sqrt 1) into 1 2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.121 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.121 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.121 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.121 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.121 * [taylor]: Taking taylor expansion of re in re 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.121 * [taylor]: Taking taylor expansion of re in re 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.121 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.121 * [taylor]: Taking taylor expansion of im in re 2.121 * [backup-simplify]: Simplify im into im 2.121 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.121 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.121 * [taylor]: Taking taylor expansion of im in re 2.121 * [backup-simplify]: Simplify im into im 2.122 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.122 * [backup-simplify]: Simplify (* 1 1) into 1 2.122 * [backup-simplify]: Simplify (+ 1 0) into 1 2.122 * [backup-simplify]: Simplify (sqrt 1) into 1 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.124 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.124 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.124 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.124 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.124 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.124 * [taylor]: Taking taylor expansion of re in re 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.125 * [taylor]: Taking taylor expansion of re in re 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (/ 1 1) into 1 2.125 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.125 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.125 * [taylor]: Taking taylor expansion of im in re 2.125 * [backup-simplify]: Simplify im into im 2.125 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.125 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.125 * [taylor]: Taking taylor expansion of im in re 2.125 * [backup-simplify]: Simplify im into im 2.125 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.125 * [backup-simplify]: Simplify (* 1 1) into 1 2.126 * [backup-simplify]: Simplify (+ 1 0) into 1 2.126 * [backup-simplify]: Simplify (sqrt 1) into 1 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.128 * [taylor]: Taking taylor expansion of 1 in im 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [taylor]: Taking taylor expansion of 0 in im 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.129 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.130 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.130 * [taylor]: Taking taylor expansion of 1/2 in im 2.130 * [backup-simplify]: Simplify 1/2 into 1/2 2.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.130 * [taylor]: Taking taylor expansion of im in im 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.134 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.134 * [backup-simplify]: Simplify (+ 0 0) into 0 2.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.135 * [taylor]: Taking taylor expansion of 0 in im 2.135 * [backup-simplify]: Simplify 0 into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.137 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 2.137 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.137 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.137 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.137 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.137 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.137 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.137 * [taylor]: Taking taylor expansion of -1 in im 2.137 * [backup-simplify]: Simplify -1 into -1 2.137 * [taylor]: Taking taylor expansion of re in im 2.137 * [backup-simplify]: Simplify re into re 2.137 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.137 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.137 * [taylor]: Taking taylor expansion of -1 in im 2.137 * [backup-simplify]: Simplify -1 into -1 2.137 * [taylor]: Taking taylor expansion of re in im 2.137 * [backup-simplify]: Simplify re into re 2.138 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.138 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.138 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.138 * [taylor]: Taking taylor expansion of -1 in im 2.138 * [backup-simplify]: Simplify -1 into -1 2.138 * [taylor]: Taking taylor expansion of im in im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.138 * [backup-simplify]: Simplify (/ -1 1) into -1 2.138 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.138 * [taylor]: Taking taylor expansion of -1 in im 2.138 * [backup-simplify]: Simplify -1 into -1 2.138 * [taylor]: Taking taylor expansion of im in im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 1 into 1 2.139 * [backup-simplify]: Simplify (/ -1 1) into -1 2.139 * [backup-simplify]: Simplify (* -1 -1) into 1 2.140 * [backup-simplify]: Simplify (+ 0 1) into 1 2.140 * [backup-simplify]: Simplify (sqrt 1) into 1 2.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.143 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.144 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.144 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.144 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.144 * [taylor]: Taking taylor expansion of -1 in re 2.144 * [backup-simplify]: Simplify -1 into -1 2.144 * [taylor]: Taking taylor expansion of re in re 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (/ -1 1) into -1 2.144 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.144 * [taylor]: Taking taylor expansion of -1 in re 2.144 * [backup-simplify]: Simplify -1 into -1 2.144 * [taylor]: Taking taylor expansion of re in re 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [backup-simplify]: Simplify 1 into 1 2.151 * [backup-simplify]: Simplify (/ -1 1) into -1 2.151 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.151 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.151 * [taylor]: Taking taylor expansion of -1 in re 2.151 * [backup-simplify]: Simplify -1 into -1 2.151 * [taylor]: Taking taylor expansion of im in re 2.151 * [backup-simplify]: Simplify im into im 2.151 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.151 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.151 * [taylor]: Taking taylor expansion of -1 in re 2.151 * [backup-simplify]: Simplify -1 into -1 2.151 * [taylor]: Taking taylor expansion of im in re 2.151 * [backup-simplify]: Simplify im into im 2.151 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.152 * [backup-simplify]: Simplify (* -1 -1) into 1 2.152 * [backup-simplify]: Simplify (+ 1 0) into 1 2.153 * [backup-simplify]: Simplify (sqrt 1) into 1 2.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.154 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.154 * [backup-simplify]: Simplify (+ 0 0) into 0 2.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.155 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.155 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.155 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.155 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.155 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.155 * [taylor]: Taking taylor expansion of -1 in re 2.155 * [backup-simplify]: Simplify -1 into -1 2.155 * [taylor]: Taking taylor expansion of re in re 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ -1 1) into -1 2.155 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.155 * [taylor]: Taking taylor expansion of -1 in re 2.155 * [backup-simplify]: Simplify -1 into -1 2.155 * [taylor]: Taking taylor expansion of re in re 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (/ -1 1) into -1 2.156 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.156 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.156 * [taylor]: Taking taylor expansion of -1 in re 2.156 * [backup-simplify]: Simplify -1 into -1 2.156 * [taylor]: Taking taylor expansion of im in re 2.156 * [backup-simplify]: Simplify im into im 2.156 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.156 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.156 * [taylor]: Taking taylor expansion of -1 in re 2.156 * [backup-simplify]: Simplify -1 into -1 2.156 * [taylor]: Taking taylor expansion of im in re 2.156 * [backup-simplify]: Simplify im into im 2.156 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.156 * [backup-simplify]: Simplify (* -1 -1) into 1 2.156 * [backup-simplify]: Simplify (+ 1 0) into 1 2.157 * [backup-simplify]: Simplify (sqrt 1) into 1 2.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.159 * [taylor]: Taking taylor expansion of 1 in im 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [taylor]: Taking taylor expansion of 0 in im 2.159 * [backup-simplify]: Simplify 0 into 0 2.159 * [backup-simplify]: Simplify 1 into 1 2.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.161 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.161 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.161 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.161 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.162 * [taylor]: Taking taylor expansion of 1/2 in im 2.162 * [backup-simplify]: Simplify 1/2 into 1/2 2.162 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.162 * [taylor]: Taking taylor expansion of im in im 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [backup-simplify]: Simplify (* 1 1) into 1 2.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.165 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.166 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.166 * [taylor]: Taking taylor expansion of 0 in im 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.167 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.167 * [backup-simplify]: Simplify (sqrt (+ (hypot re im) re)) into (sqrt (+ (hypot re im) re)) 2.167 * [approximate]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in (re im) around 0 2.167 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 2.167 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.167 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.167 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.167 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.167 * [taylor]: Taking taylor expansion of (* re re) in im 2.167 * [taylor]: Taking taylor expansion of re in im 2.167 * [backup-simplify]: Simplify re into re 2.167 * [taylor]: Taking taylor expansion of re in im 2.167 * [backup-simplify]: Simplify re into re 2.167 * [taylor]: Taking taylor expansion of (* im im) in im 2.167 * [taylor]: Taking taylor expansion of im in im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.168 * [taylor]: Taking taylor expansion of im in im 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.168 * [backup-simplify]: Simplify (* 0 0) into 0 2.168 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.168 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.168 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.168 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.169 * [taylor]: Taking taylor expansion of re in im 2.169 * [backup-simplify]: Simplify re into re 2.169 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.169 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.169 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 2.169 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.169 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.169 * [taylor]: Taking taylor expansion of (* re re) in re 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of re in re 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [taylor]: Taking taylor expansion of (* im im) in re 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [backup-simplify]: Simplify im into im 2.169 * [taylor]: Taking taylor expansion of im in re 2.169 * [backup-simplify]: Simplify im into im 2.170 * [backup-simplify]: Simplify (* 0 0) into 0 2.170 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.170 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.170 * [backup-simplify]: Simplify (+ 0 0) into 0 2.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.171 * [taylor]: Taking taylor expansion of re in re 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (+ im 0) into im 2.171 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.171 * [backup-simplify]: Simplify (+ 0 1) into 1 2.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.171 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 2.171 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.171 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.171 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.171 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.171 * [taylor]: Taking taylor expansion of (* re re) in re 2.171 * [taylor]: Taking taylor expansion of re in re 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [taylor]: Taking taylor expansion of re in re 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [taylor]: Taking taylor expansion of (* im im) in re 2.171 * [taylor]: Taking taylor expansion of im in re 2.171 * [backup-simplify]: Simplify im into im 2.171 * [taylor]: Taking taylor expansion of im in re 2.171 * [backup-simplify]: Simplify im into im 2.172 * [backup-simplify]: Simplify (* 0 0) into 0 2.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.172 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.172 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.172 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (+ im 0) into im 2.173 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.173 * [backup-simplify]: Simplify (+ 0 1) into 1 2.173 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.173 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.173 * [taylor]: Taking taylor expansion of im in im 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (sqrt 0) into 0 2.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 im))) in im 2.174 * [taylor]: Taking taylor expansion of 1/2 in im 2.174 * [backup-simplify]: Simplify 1/2 into 1/2 2.174 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.174 * [taylor]: Taking taylor expansion of im in im 2.174 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [backup-simplify]: Simplify (sqrt 0) into 0 2.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.176 * [backup-simplify]: Simplify (+ (* 1/2 +nan.0) (* 0 0)) into (- +nan.0) 2.177 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.177 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.178 * [backup-simplify]: Simplify (+ 1 0) into 1 2.178 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.178 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.179 * [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)))) 2.179 * [taylor]: Taking taylor expansion of (* 1/8 (sqrt (/ 1 (pow im 3)))) in im 2.179 * [taylor]: Taking taylor expansion of 1/8 in im 2.179 * [backup-simplify]: Simplify 1/8 into 1/8 2.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.179 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (* 1 1) into 1 2.180 * [backup-simplify]: Simplify (/ 1 1) into 1 2.181 * [backup-simplify]: Simplify (sqrt 0) into 0 2.182 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.189 * [backup-simplify]: Simplify (+ (* 1/8 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.190 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.191 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* +nan.0 (* im 1)) (* (- +nan.0) (* 1 re)))) into (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 2.191 * [backup-simplify]: Simplify (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) into (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) 2.191 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in (re im) around 0 2.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.191 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.191 * [taylor]: Taking taylor expansion of re in im 2.191 * [backup-simplify]: Simplify re into re 2.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.191 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.191 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.191 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.191 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.191 * [taylor]: Taking taylor expansion of re in im 2.191 * [backup-simplify]: Simplify re into re 2.191 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.191 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.191 * [taylor]: Taking taylor expansion of re in im 2.191 * [backup-simplify]: Simplify re into re 2.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.192 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.192 * [taylor]: Taking taylor expansion of im in im 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.192 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.192 * [taylor]: Taking taylor expansion of im in im 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.192 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (+ 0 1) into 1 2.194 * [backup-simplify]: Simplify (sqrt 1) into 1 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.195 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 1) into 1 2.196 * [backup-simplify]: Simplify (sqrt 0) into 0 2.197 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.197 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.197 * [taylor]: Taking taylor expansion of re in re 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.197 * [backup-simplify]: Simplify (/ 1 1) into 1 2.197 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.198 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.198 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.198 * [taylor]: Taking taylor expansion of re in re 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (/ 1 1) into 1 2.198 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.198 * [backup-simplify]: Simplify im into im 2.198 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.198 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.198 * [taylor]: Taking taylor expansion of im in re 2.198 * [backup-simplify]: Simplify im into im 2.198 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.199 * [backup-simplify]: Simplify (* 1 1) into 1 2.199 * [backup-simplify]: Simplify (+ 1 0) into 1 2.199 * [backup-simplify]: Simplify (sqrt 1) into 1 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.201 * [backup-simplify]: Simplify (+ 1 1) into 2 2.201 * [backup-simplify]: Simplify (sqrt 0) into 0 2.202 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.202 * [taylor]: Taking taylor expansion of re in re 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.203 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.203 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.203 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.203 * [taylor]: Taking taylor expansion of re in re 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.203 * [taylor]: Taking taylor expansion of re in re 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.203 * [taylor]: Taking taylor expansion of im in re 2.203 * [backup-simplify]: Simplify im into im 2.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.203 * [taylor]: Taking taylor expansion of im in re 2.203 * [backup-simplify]: Simplify im into im 2.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ 1 0) into 1 2.205 * [backup-simplify]: Simplify (sqrt 1) into 1 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.207 * [backup-simplify]: Simplify (+ 1 1) into 2 2.207 * [backup-simplify]: Simplify (sqrt 0) into 0 2.208 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.208 * [taylor]: Taking taylor expansion of 0 in im 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [taylor]: Taking taylor expansion of +nan.0 in im 2.208 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.210 * [taylor]: Taking taylor expansion of +nan.0 in im 2.210 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.210 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.210 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.213 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.213 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.215 * [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)) 2.215 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 2.215 * [taylor]: Taking taylor expansion of +nan.0 in im 2.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.215 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 2.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.215 * [taylor]: Taking taylor expansion of 1/2 in im 2.215 * [backup-simplify]: Simplify 1/2 into 1/2 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.215 * [taylor]: Taking taylor expansion of im in im 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (/ 1 1) into 1 2.215 * [taylor]: Taking taylor expansion of +nan.0 in im 2.215 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.217 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 2.218 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.222 * [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))) 2.222 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 2.222 * [taylor]: Taking taylor expansion of +nan.0 in im 2.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.222 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 2.222 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 2.222 * [taylor]: Taking taylor expansion of +nan.0 in im 2.222 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.222 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.222 * [taylor]: Taking taylor expansion of im in im 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (* 1 1) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [taylor]: Taking taylor expansion of (- +nan.0) in im 2.223 * [taylor]: Taking taylor expansion of +nan.0 in im 2.223 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 2.226 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.227 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.230 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.231 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 2.234 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 2.234 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.235 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 2.235 * [backup-simplify]: Simplify (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) into (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) 2.235 * [approximate]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in (re im) around 0 2.235 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.235 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.235 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.235 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.235 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.235 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.235 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.235 * [taylor]: Taking taylor expansion of -1 in im 2.235 * [backup-simplify]: Simplify -1 into -1 2.235 * [taylor]: Taking taylor expansion of re in im 2.235 * [backup-simplify]: Simplify re into re 2.236 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.236 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.236 * [taylor]: Taking taylor expansion of -1 in im 2.236 * [backup-simplify]: Simplify -1 into -1 2.236 * [taylor]: Taking taylor expansion of re in im 2.236 * [backup-simplify]: Simplify re into re 2.236 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.236 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.236 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.236 * [taylor]: Taking taylor expansion of -1 in im 2.236 * [backup-simplify]: Simplify -1 into -1 2.236 * [taylor]: Taking taylor expansion of im in im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (/ -1 1) into -1 2.236 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.236 * [taylor]: Taking taylor expansion of -1 in im 2.236 * [backup-simplify]: Simplify -1 into -1 2.236 * [taylor]: Taking taylor expansion of im in im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (/ -1 1) into -1 2.237 * [backup-simplify]: Simplify (* -1 -1) into 1 2.238 * [backup-simplify]: Simplify (+ 0 1) into 1 2.238 * [backup-simplify]: Simplify (sqrt 1) into 1 2.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.241 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.242 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.242 * [taylor]: Taking taylor expansion of re in im 2.242 * [backup-simplify]: Simplify re into re 2.242 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.242 * [backup-simplify]: Simplify (+ 1 0) into 1 2.243 * [backup-simplify]: Simplify (sqrt 0) into 0 2.244 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.244 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.244 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.244 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.244 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.244 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.244 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.244 * [taylor]: Taking taylor expansion of -1 in re 2.244 * [backup-simplify]: Simplify -1 into -1 2.244 * [taylor]: Taking taylor expansion of re in re 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (/ -1 1) into -1 2.245 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.245 * [taylor]: Taking taylor expansion of -1 in re 2.245 * [backup-simplify]: Simplify -1 into -1 2.245 * [taylor]: Taking taylor expansion of re in re 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify 1 into 1 2.245 * [backup-simplify]: Simplify (/ -1 1) into -1 2.245 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.245 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.245 * [taylor]: Taking taylor expansion of -1 in re 2.245 * [backup-simplify]: Simplify -1 into -1 2.246 * [taylor]: Taking taylor expansion of im in re 2.246 * [backup-simplify]: Simplify im into im 2.246 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.246 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.246 * [taylor]: Taking taylor expansion of -1 in re 2.246 * [backup-simplify]: Simplify -1 into -1 2.246 * [taylor]: Taking taylor expansion of im in re 2.246 * [backup-simplify]: Simplify im into im 2.246 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.246 * [backup-simplify]: Simplify (* -1 -1) into 1 2.247 * [backup-simplify]: Simplify (+ 1 0) into 1 2.247 * [backup-simplify]: Simplify (sqrt 1) into 1 2.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.250 * [backup-simplify]: Simplify (+ 0 0) into 0 2.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.251 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.251 * [taylor]: Taking taylor expansion of re in re 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.251 * [backup-simplify]: Simplify (/ 1 1) into 1 2.251 * [backup-simplify]: Simplify (- 1) into -1 2.252 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.253 * [backup-simplify]: Simplify (- 0) into 0 2.253 * [backup-simplify]: Simplify (+ 0 0) into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.257 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.257 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.258 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.265 * [backup-simplify]: Simplify (- 0) into 0 2.266 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.266 * [backup-simplify]: Simplify (sqrt 0) into 0 2.267 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.267 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.267 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.267 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.267 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.267 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.267 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.267 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.267 * [taylor]: Taking taylor expansion of -1 in re 2.267 * [backup-simplify]: Simplify -1 into -1 2.267 * [taylor]: Taking taylor expansion of re in re 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ -1 1) into -1 2.268 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.268 * [taylor]: Taking taylor expansion of -1 in re 2.268 * [backup-simplify]: Simplify -1 into -1 2.268 * [taylor]: Taking taylor expansion of re in re 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (/ -1 1) into -1 2.268 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.268 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.269 * [taylor]: Taking taylor expansion of -1 in re 2.269 * [backup-simplify]: Simplify -1 into -1 2.269 * [taylor]: Taking taylor expansion of im in re 2.269 * [backup-simplify]: Simplify im into im 2.269 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.269 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.269 * [taylor]: Taking taylor expansion of -1 in re 2.269 * [backup-simplify]: Simplify -1 into -1 2.269 * [taylor]: Taking taylor expansion of im in re 2.269 * [backup-simplify]: Simplify im into im 2.269 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.269 * [backup-simplify]: Simplify (* -1 -1) into 1 2.270 * [backup-simplify]: Simplify (+ 1 0) into 1 2.270 * [backup-simplify]: Simplify (sqrt 1) into 1 2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.273 * [backup-simplify]: Simplify (+ 0 0) into 0 2.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.274 * [taylor]: Taking taylor expansion of re in re 2.274 * [backup-simplify]: Simplify 0 into 0 2.274 * [backup-simplify]: Simplify 1 into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [backup-simplify]: Simplify (- 1) into -1 2.275 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.279 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.280 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.281 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (- 0) into 0 2.282 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.283 * [backup-simplify]: Simplify (sqrt 0) into 0 2.283 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.283 * [taylor]: Taking taylor expansion of 0 in im 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 2)) in im 2.283 * [taylor]: Taking taylor expansion of +nan.0 in im 2.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.283 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.284 * [taylor]: Taking taylor expansion of im in im 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (* 1 1) into 1 2.284 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.289 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.289 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.290 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (- 0) into 0 2.292 * [backup-simplify]: Simplify (+ 0 0) into 0 2.293 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 2.293 * [taylor]: Taking taylor expansion of (/ +nan.0 (pow im 4)) in im 2.293 * [taylor]: Taking taylor expansion of +nan.0 in im 2.293 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.293 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.293 * [taylor]: Taking taylor expansion of im in im 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (* 1 1) into 1 2.294 * [backup-simplify]: Simplify (* 1 1) into 1 2.295 * [backup-simplify]: Simplify (/ +nan.0 1) into +nan.0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* +nan.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.309 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.309 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.312 * [backup-simplify]: Simplify (- 0) into 0 2.312 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 2.313 * [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))))) 2.313 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) in im 2.313 * [taylor]: Taking taylor expansion of +nan.0 in im 2.313 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.313 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4)))) in im 2.313 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 6))) in im 2.314 * [taylor]: Taking taylor expansion of +nan.0 in im 2.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 6)) in im 2.314 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.314 * [taylor]: Taking taylor expansion of im in im 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow im 4))) in im 2.316 * [taylor]: Taking taylor expansion of 1/8 in im 2.316 * [backup-simplify]: Simplify 1/8 into 1/8 2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 2.316 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.316 * [taylor]: Taking taylor expansion of im in im 2.316 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify 1 into 1 2.316 * [backup-simplify]: Simplify (* 1 1) into 1 2.316 * [backup-simplify]: Simplify (* 1 1) into 1 2.317 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.349 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.350 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0 2.350 * [backup-simplify]: Simplify (+ 0 0) into 0 2.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (+ 0 0) into 0 2.354 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 2.354 * [backup-simplify]: Simplify (* 1/8 1) into 1/8 2.355 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8 2.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 2.356 * [backup-simplify]: Simplify (+ 0 0) into 0 2.356 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 2.357 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 2.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1/8) (+ (* 0 0) (* 0 (- +nan.0))))))) into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.358 * [backup-simplify]: Simplify 0 into 0 2.359 * * * [progress]: simplifying candidates 2.359 * * * * [progress]: [ 1 / 97 ] simplifiying candidate # 2.359 * * * * [progress]: [ 2 / 97 ] simplifiying candidate # 2.359 * * * * [progress]: [ 3 / 97 ] simplifiying candidate # 2.359 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2.359 * * [simplify]: iters left: 4 (5 enodes) 2.361 * * [simplify]: iters left: 3 (15 enodes) 2.365 * * [simplify]: Extracting #0: cost 1 inf + 0 2.365 * * [simplify]: Extracting #1: cost 3 inf + 0 2.365 * * [simplify]: Extracting #2: cost 5 inf + 0 2.365 * * [simplify]: Extracting #3: cost 8 inf + 0 2.365 * * [simplify]: Extracting #4: cost 6 inf + 2 2.365 * * [simplify]: Extracting #5: cost 0 inf + 744 2.366 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2.366 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)) (sqrt 2.0)))) 2.366 * * * * [progress]: [ 4 / 97 ] simplifiying candidate # 2.366 * [simplify]: Simplifying (sqrt (hypot re im)) 2.366 * * [simplify]: iters left: 2 (4 enodes) 2.368 * * [simplify]: iters left: 1 (12 enodes) 2.371 * * [simplify]: Extracting #0: cost 1 inf + 0 2.371 * * [simplify]: Extracting #1: cost 3 inf + 0 2.371 * * [simplify]: Extracting #2: cost 6 inf + 0 2.371 * * [simplify]: Extracting #3: cost 4 inf + 2 2.371 * * [simplify]: Extracting #4: cost 0 inf + 310 2.371 * [simplify]: Simplified to (sqrt (hypot re im)) 2.371 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)))) 2.371 * * * * [progress]: [ 5 / 97 ] simplifiying candidate # 2.371 * * * * [progress]: [ 6 / 97 ] simplifiying candidate # 2.372 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 2.372 * * [simplify]: iters left: 4 (6 enodes) 2.374 * * [simplify]: iters left: 3 (21 enodes) 2.380 * * [simplify]: iters left: 2 (25 enodes) 2.386 * * [simplify]: Extracting #0: cost 1 inf + 0 2.386 * * [simplify]: Extracting #1: cost 5 inf + 0 2.386 * * [simplify]: Extracting #2: cost 10 inf + 0 2.387 * * [simplify]: Extracting #3: cost 9 inf + 143 2.387 * * [simplify]: Extracting #4: cost 8 inf + 144 2.387 * * [simplify]: Extracting #5: cost 0 inf + 1180 2.387 * * [simplify]: Extracting #6: cost 0 inf + 1040 2.388 * [simplify]: Simplified to (exp (+ re (hypot re im))) 2.388 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (log (exp (+ re (hypot re im))))) (sqrt 2.0)))) 2.388 * * * * [progress]: [ 7 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 8 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 9 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 10 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 11 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 12 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 13 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 14 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 15 / 97 ] simplifiying candidate # 2.388 * * * * [progress]: [ 16 / 97 ] simplifiying candidate # 2.389 * [simplify]: Simplifying (+ (hypot re im) re) 2.389 * * [simplify]: iters left: 3 (4 enodes) 2.390 * * [simplify]: iters left: 2 (13 enodes) 2.394 * * [simplify]: Extracting #0: cost 1 inf + 0 2.394 * * [simplify]: Extracting #1: cost 4 inf + 0 2.394 * * [simplify]: Extracting #2: cost 5 inf + 1 2.394 * * [simplify]: Extracting #3: cost 4 inf + 2 2.394 * * [simplify]: Extracting #4: cost 0 inf + 310 2.394 * [simplify]: Simplified to (+ re (hypot re im)) 2.394 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (* (sqrt (* 1 (+ re (hypot re im)))) (sqrt 2.0)))) 2.394 * * * * [progress]: [ 17 / 97 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re)))) (sqrt 2.0))))> 2.394 * * * * [progress]: [ 18 / 97 ] simplifiying candidate # 2.394 * * * * [progress]: [ 19 / 97 ] simplifiying candidate # 2.395 * * * * [progress]: [ 20 / 97 ] simplifiying candidate # 2.395 * * * * [progress]: [ 21 / 97 ] simplifiying candidate # 2.395 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 2.395 * * [simplify]: iters left: 5 (6 enodes) 2.398 * * [simplify]: iters left: 4 (20 enodes) 2.401 * * [simplify]: iters left: 3 (28 enodes) 2.409 * * [simplify]: iters left: 2 (40 enodes) 2.414 * * [simplify]: Extracting #0: cost 1 inf + 0 2.414 * * [simplify]: Extracting #1: cost 8 inf + 0 2.414 * * [simplify]: Extracting #2: cost 11 inf + 2 2.414 * * [simplify]: Extracting #3: cost 9 inf + 45 2.414 * * [simplify]: Extracting #4: cost 2 inf + 632 2.415 * * [simplify]: Extracting #5: cost 0 inf + 867 2.415 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 2.415 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) 1/2))) 2.415 * * * * [progress]: [ 22 / 97 ] simplifiying candidate # 2.415 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 2.415 * * [simplify]: iters left: 6 (8 enodes) 2.417 * * [simplify]: iters left: 5 (26 enodes) 2.424 * * [simplify]: Extracting #0: cost 1 inf + 0 2.424 * * [simplify]: Extracting #1: cost 4 inf + 0 2.424 * * [simplify]: Extracting #2: cost 8 inf + 0 2.424 * * [simplify]: Extracting #3: cost 9 inf + 42 2.424 * * [simplify]: Extracting #4: cost 9 inf + 84 2.424 * * [simplify]: Extracting #5: cost 8 inf + 85 2.424 * * [simplify]: Extracting #6: cost 5 inf + 296 2.425 * * [simplify]: Extracting #7: cost 1 inf + 885 2.425 * * [simplify]: Extracting #8: cost 0 inf + 1103 2.426 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 2.426 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1))) 2.426 * * * * [progress]: [ 23 / 97 ] simplifiying candidate # 2.426 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 2.426 * * [simplify]: iters left: 5 (6 enodes) 2.429 * * [simplify]: iters left: 4 (20 enodes) 2.436 * * [simplify]: iters left: 3 (28 enodes) 2.445 * * [simplify]: iters left: 2 (40 enodes) 2.454 * * [simplify]: Extracting #0: cost 1 inf + 0 2.454 * * [simplify]: Extracting #1: cost 8 inf + 0 2.454 * * [simplify]: Extracting #2: cost 11 inf + 2 2.454 * * [simplify]: Extracting #3: cost 9 inf + 45 2.455 * * [simplify]: Extracting #4: cost 2 inf + 632 2.455 * * [simplify]: Extracting #5: cost 0 inf + 867 2.456 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 2.456 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 2.456 * [simplify]: Simplifying (/ 1 2) 2.456 * * [simplify]: iters left: 2 (3 enodes) 2.459 * * [simplify]: iters left: 1 (12 enodes) 2.463 * * [simplify]: Extracting #0: cost 1 inf + 0 2.463 * * [simplify]: Extracting #1: cost 0 inf + 1 2.463 * [simplify]: Simplified to 1/2 2.463 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 2.464 * * * * [progress]: [ 24 / 97 ] simplifiying candidate # 2.464 * * * * [progress]: [ 25 / 97 ] simplifiying candidate # 2.464 * [simplify]: Simplifying (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt 2.0))) 2.464 * * [simplify]: iters left: 6 (10 enodes) 2.466 * * [simplify]: iters left: 5 (32 enodes) 2.471 * * [simplify]: Extracting #0: cost 1 inf + 0 2.471 * * [simplify]: Extracting #1: cost 4 inf + 0 2.471 * * [simplify]: Extracting #2: cost 8 inf + 0 2.471 * * [simplify]: Extracting #3: cost 12 inf + 0 2.471 * * [simplify]: Extracting #4: cost 11 inf + 194 2.471 * * [simplify]: Extracting #5: cost 11 inf + 306 2.471 * * [simplify]: Extracting #6: cost 10 inf + 307 2.471 * * [simplify]: Extracting #7: cost 7 inf + 518 2.472 * * [simplify]: Extracting #8: cost 1 inf + 1812 2.472 * * [simplify]: Extracting #9: cost 0 inf + 2019 2.472 * [simplify]: Simplified to (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0))) 2.472 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0)))))) 2.472 * * * * [progress]: [ 26 / 97 ] simplifiying candidate # 2.472 * * * * [progress]: [ 27 / 97 ] simplifiying candidate # 2.472 * * * * [progress]: [ 28 / 97 ] simplifiying candidate # 2.473 * [simplify]: Simplifying (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) 2.473 * * [simplify]: iters left: 6 (12 enodes) 2.476 * * [simplify]: iters left: 5 (40 enodes) 2.483 * * [simplify]: iters left: 4 (78 enodes) 2.510 * * [simplify]: iters left: 3 (209 enodes) 2.625 * * [simplify]: iters left: 2 (499 enodes) 2.871 * * [simplify]: Extracting #0: cost 1 inf + 0 2.871 * * [simplify]: Extracting #1: cost 38 inf + 0 2.872 * * [simplify]: Extracting #2: cost 78 inf + 167 2.872 * * [simplify]: Extracting #3: cost 68 inf + 742 2.873 * * [simplify]: Extracting #4: cost 52 inf + 2964 2.875 * * [simplify]: Extracting #5: cost 31 inf + 7818 2.882 * * [simplify]: Extracting #6: cost 2 inf + 17795 2.893 * * [simplify]: Extracting #7: cost 0 inf + 18522 2.904 * [simplify]: Simplified to (* (* (* 2.0 (sqrt (+ re (hypot re im)))) (+ re (hypot re im))) (sqrt 2.0)) 2.904 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (* (* 2.0 (sqrt (+ re (hypot re im)))) (+ re (hypot re im))) (sqrt 2.0))))) 2.905 * * * * [progress]: [ 29 / 97 ] simplifiying candidate # 2.905 * * * * [progress]: [ 30 / 97 ] simplifiying candidate # 2.905 * * * * [progress]: [ 31 / 97 ] simplifiying candidate # 2.905 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 2.905 * * [simplify]: iters left: 5 (6 enodes) 2.908 * * [simplify]: iters left: 4 (20 enodes) 2.915 * * [simplify]: iters left: 3 (28 enodes) 2.919 * * [simplify]: iters left: 2 (40 enodes) 2.924 * * [simplify]: Extracting #0: cost 1 inf + 0 2.924 * * [simplify]: Extracting #1: cost 8 inf + 0 2.924 * * [simplify]: Extracting #2: cost 11 inf + 2 2.924 * * [simplify]: Extracting #3: cost 9 inf + 45 2.924 * * [simplify]: Extracting #4: cost 2 inf + 632 2.924 * * [simplify]: Extracting #5: cost 0 inf + 867 2.925 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 2.925 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))) 2.925 * * * * [progress]: [ 32 / 97 ] simplifiying candidate # 2.925 * * * * [progress]: [ 33 / 97 ] simplifiying candidate # 2.925 * * * * [progress]: [ 34 / 97 ] simplifiying candidate # 2.925 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.925 * * [simplify]: iters left: 6 (10 enodes) 2.928 * * [simplify]: iters left: 5 (32 enodes) 2.933 * * [simplify]: Extracting #0: cost 1 inf + 0 2.933 * * [simplify]: Extracting #1: cost 4 inf + 0 2.933 * * [simplify]: Extracting #2: cost 8 inf + 0 2.933 * * [simplify]: Extracting #3: cost 12 inf + 0 2.933 * * [simplify]: Extracting #4: cost 11 inf + 164 2.933 * * [simplify]: Extracting #5: cost 11 inf + 246 2.933 * * [simplify]: Extracting #6: cost 10 inf + 247 2.933 * * [simplify]: Extracting #7: cost 7 inf + 458 2.933 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.933 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.934 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.934 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 2.934 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.934 * * [simplify]: iters left: 6 (10 enodes) 2.937 * * [simplify]: iters left: 5 (32 enodes) 2.941 * * [simplify]: Extracting #0: cost 1 inf + 0 2.941 * * [simplify]: Extracting #1: cost 4 inf + 0 2.941 * * [simplify]: Extracting #2: cost 8 inf + 0 2.942 * * [simplify]: Extracting #3: cost 12 inf + 0 2.942 * * [simplify]: Extracting #4: cost 11 inf + 164 2.942 * * [simplify]: Extracting #5: cost 11 inf + 246 2.942 * * [simplify]: Extracting #6: cost 10 inf + 247 2.942 * * [simplify]: Extracting #7: cost 7 inf + 458 2.942 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.942 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.943 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.943 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 2.943 * * * * [progress]: [ 35 / 97 ] simplifiying candidate # 2.944 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.944 * * [simplify]: iters left: 6 (10 enodes) 2.949 * * [simplify]: iters left: 5 (32 enodes) 2.963 * * [simplify]: Extracting #0: cost 1 inf + 0 2.963 * * [simplify]: Extracting #1: cost 4 inf + 0 2.963 * * [simplify]: Extracting #2: cost 8 inf + 0 2.963 * * [simplify]: Extracting #3: cost 12 inf + 0 2.963 * * [simplify]: Extracting #4: cost 11 inf + 164 2.963 * * [simplify]: Extracting #5: cost 11 inf + 246 2.963 * * [simplify]: Extracting #6: cost 10 inf + 247 2.963 * * [simplify]: Extracting #7: cost 7 inf + 458 2.964 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.964 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.965 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.965 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 2.965 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.966 * * [simplify]: iters left: 6 (10 enodes) 2.971 * * [simplify]: iters left: 5 (32 enodes) 2.980 * * [simplify]: Extracting #0: cost 1 inf + 0 2.980 * * [simplify]: Extracting #1: cost 4 inf + 0 2.980 * * [simplify]: Extracting #2: cost 8 inf + 0 2.981 * * [simplify]: Extracting #3: cost 12 inf + 0 2.981 * * [simplify]: Extracting #4: cost 11 inf + 164 2.981 * * [simplify]: Extracting #5: cost 11 inf + 246 2.981 * * [simplify]: Extracting #6: cost 10 inf + 247 2.981 * * [simplify]: Extracting #7: cost 7 inf + 458 2.982 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.982 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.983 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.983 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 2.983 * * * * [progress]: [ 36 / 97 ] simplifiying candidate # 2.983 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.983 * * [simplify]: iters left: 6 (10 enodes) 2.988 * * [simplify]: iters left: 5 (32 enodes) 2.998 * * [simplify]: Extracting #0: cost 1 inf + 0 2.998 * * [simplify]: Extracting #1: cost 4 inf + 0 2.998 * * [simplify]: Extracting #2: cost 8 inf + 0 2.998 * * [simplify]: Extracting #3: cost 12 inf + 0 2.998 * * [simplify]: Extracting #4: cost 11 inf + 164 2.998 * * [simplify]: Extracting #5: cost 11 inf + 246 2.998 * * [simplify]: Extracting #6: cost 10 inf + 247 2.998 * * [simplify]: Extracting #7: cost 7 inf + 458 2.999 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.999 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.999 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.999 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 3.000 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 3.000 * * [simplify]: iters left: 6 (10 enodes) 3.002 * * [simplify]: iters left: 5 (32 enodes) 3.007 * * [simplify]: Extracting #0: cost 1 inf + 0 3.007 * * [simplify]: Extracting #1: cost 4 inf + 0 3.007 * * [simplify]: Extracting #2: cost 8 inf + 0 3.007 * * [simplify]: Extracting #3: cost 12 inf + 0 3.007 * * [simplify]: Extracting #4: cost 11 inf + 164 3.007 * * [simplify]: Extracting #5: cost 11 inf + 246 3.007 * * [simplify]: Extracting #6: cost 10 inf + 247 3.007 * * [simplify]: Extracting #7: cost 7 inf + 458 3.007 * * [simplify]: Extracting #8: cost 1 inf + 1602 3.008 * * [simplify]: Extracting #9: cost 0 inf + 1779 3.008 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 3.008 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 3.008 * * * * [progress]: [ 37 / 97 ] simplifiying candidate # 3.008 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 3.008 * * [simplify]: iters left: 6 (10 enodes) 3.011 * * [simplify]: iters left: 5 (32 enodes) 3.016 * * [simplify]: Extracting #0: cost 1 inf + 0 3.016 * * [simplify]: Extracting #1: cost 4 inf + 0 3.016 * * [simplify]: Extracting #2: cost 8 inf + 0 3.016 * * [simplify]: Extracting #3: cost 12 inf + 0 3.016 * * [simplify]: Extracting #4: cost 11 inf + 164 3.016 * * [simplify]: Extracting #5: cost 11 inf + 246 3.016 * * [simplify]: Extracting #6: cost 10 inf + 247 3.016 * * [simplify]: Extracting #7: cost 7 inf + 458 3.016 * * [simplify]: Extracting #8: cost 1 inf + 1602 3.017 * * [simplify]: Extracting #9: cost 0 inf + 1779 3.017 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 3.017 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 3.017 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 3.017 * * [simplify]: iters left: 6 (10 enodes) 3.020 * * [simplify]: iters left: 5 (32 enodes) 3.025 * * [simplify]: Extracting #0: cost 1 inf + 0 3.025 * * [simplify]: Extracting #1: cost 4 inf + 0 3.025 * * [simplify]: Extracting #2: cost 8 inf + 0 3.025 * * [simplify]: Extracting #3: cost 12 inf + 0 3.025 * * [simplify]: Extracting #4: cost 11 inf + 164 3.025 * * [simplify]: Extracting #5: cost 11 inf + 246 3.025 * * [simplify]: Extracting #6: cost 10 inf + 247 3.025 * * [simplify]: Extracting #7: cost 7 inf + 458 3.025 * * [simplify]: Extracting #8: cost 1 inf + 1602 3.026 * * [simplify]: Extracting #9: cost 0 inf + 1779 3.026 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 3.026 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 3.026 * * * * [progress]: [ 38 / 97 ] simplifiying candidate # 3.026 * [simplify]: Simplifying (cbrt (sqrt 2.0)) 3.026 * * [simplify]: iters left: 2 (3 enodes) 3.027 * * [simplify]: iters left: 1 (9 enodes) 3.029 * * [simplify]: Extracting #0: cost 1 inf + 0 3.029 * * [simplify]: Extracting #1: cost 3 inf + 0 3.029 * * [simplify]: Extracting #2: cost 5 inf + 0 3.029 * * [simplify]: Extracting #3: cost 4 inf + 1 3.030 * * [simplify]: Extracting #4: cost 0 inf + 325 3.030 * [simplify]: Simplified to (cbrt (sqrt 2.0)) 3.030 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))) 3.030 * * * * [progress]: [ 39 / 97 ] simplifiying candidate # 3.030 * [simplify]: Simplifying (sqrt (cbrt 2.0)) 3.030 * * [simplify]: iters left: 2 (3 enodes) 3.032 * * [simplify]: iters left: 1 (9 enodes) 3.035 * * [simplify]: Extracting #0: cost 1 inf + 0 3.035 * * [simplify]: Extracting #1: cost 3 inf + 0 3.035 * * [simplify]: Extracting #2: cost 5 inf + 0 3.035 * * [simplify]: Extracting #3: cost 4 inf + 1 3.035 * * [simplify]: Extracting #4: cost 0 inf + 405 3.036 * [simplify]: Simplified to (sqrt (cbrt 2.0)) 3.036 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cbrt 2.0))))) 3.036 * * * * [progress]: [ 40 / 97 ] simplifiying candidate # 3.036 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 3.036 * * [simplify]: iters left: 2 (3 enodes) 3.038 * * [simplify]: iters left: 1 (9 enodes) 3.041 * * [simplify]: Extracting #0: cost 1 inf + 0 3.042 * * [simplify]: Extracting #1: cost 3 inf + 0 3.042 * * [simplify]: Extracting #2: cost 5 inf + 0 3.042 * * [simplify]: Extracting #3: cost 4 inf + 1 3.042 * * [simplify]: Extracting #4: cost 0 inf + 245 3.042 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 3.042 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) 3.042 * * * * [progress]: [ 41 / 97 ] simplifiying candidate # 3.042 * [simplify]: Simplifying (sqrt 2.0) 3.042 * * [simplify]: iters left: 1 (2 enodes) 3.044 * * [simplify]: Extracting #0: cost 1 inf + 0 3.044 * * [simplify]: Extracting #1: cost 3 inf + 0 3.044 * * [simplify]: Extracting #2: cost 2 inf + 1 3.044 * * [simplify]: Extracting #3: cost 0 inf + 83 3.044 * [simplify]: Simplified to (sqrt 2.0) 3.044 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt 1)) (sqrt 2.0)))) 3.044 * * * * [progress]: [ 42 / 97 ] simplifiying candidate # 3.045 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 3.045 * * [simplify]: iters left: 2 (3 enodes) 3.047 * * [simplify]: iters left: 1 (9 enodes) 3.050 * * [simplify]: Extracting #0: cost 1 inf + 0 3.051 * * [simplify]: Extracting #1: cost 3 inf + 0 3.051 * * [simplify]: Extracting #2: cost 5 inf + 0 3.051 * * [simplify]: Extracting #3: cost 4 inf + 1 3.051 * * [simplify]: Extracting #4: cost 0 inf + 245 3.051 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 3.051 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) 3.051 * * * * [progress]: [ 43 / 97 ] simplifiying candidate # 3.051 * [simplify]: Simplifying (sqrt 2.0) 3.051 * * [simplify]: iters left: 1 (2 enodes) 3.053 * * [simplify]: Extracting #0: cost 1 inf + 0 3.053 * * [simplify]: Extracting #1: cost 3 inf + 0 3.053 * * [simplify]: Extracting #2: cost 2 inf + 1 3.053 * * [simplify]: Extracting #3: cost 0 inf + 83 3.053 * [simplify]: Simplified to (sqrt 2.0) 3.053 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) 1) (sqrt 2.0)))) 3.054 * * * * [progress]: [ 44 / 97 ] simplifiying candidate # 3.054 * [simplify]: Simplifying (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) 3.054 * * [simplify]: iters left: 6 (7 enodes) 3.057 * * [simplify]: iters left: 5 (22 enodes) 3.063 * * [simplify]: Extracting #0: cost 1 inf + 0 3.064 * * [simplify]: Extracting #1: cost 3 inf + 0 3.064 * * [simplify]: Extracting #2: cost 5 inf + 0 3.064 * * [simplify]: Extracting #3: cost 7 inf + 0 3.064 * * [simplify]: Extracting #4: cost 10 inf + 0 3.064 * * [simplify]: Extracting #5: cost 11 inf + 1 3.064 * * [simplify]: Extracting #6: cost 10 inf + 2 3.064 * * [simplify]: Extracting #7: cost 1 inf + 1275 3.065 * * [simplify]: Extracting #8: cost 0 inf + 1532 3.065 * [simplify]: Simplified to (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) 3.065 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))))) 3.065 * * * * [progress]: [ 45 / 97 ] simplifiying candidate # 3.065 * [simplify]: Simplifying (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) 3.066 * * [simplify]: iters left: 6 (7 enodes) 3.068 * * [simplify]: iters left: 5 (23 enodes) 3.074 * * [simplify]: Extracting #0: cost 1 inf + 0 3.074 * * [simplify]: Extracting #1: cost 4 inf + 0 3.074 * * [simplify]: Extracting #2: cost 7 inf + 0 3.074 * * [simplify]: Extracting #3: cost 10 inf + 0 3.075 * * [simplify]: Extracting #4: cost 11 inf + 1 3.075 * * [simplify]: Extracting #5: cost 8 inf + 116 3.075 * * [simplify]: Extracting #6: cost 1 inf + 1315 3.075 * * [simplify]: Extracting #7: cost 0 inf + 1532 3.076 * [simplify]: Simplified to (fabs (cbrt (+ re (hypot re im)))) 3.076 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (+ re (hypot re im)))) (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt 2.0))))) 3.076 * * * * [progress]: [ 46 / 97 ] simplifiying candidate # 3.076 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 3.076 * * [simplify]: iters left: 5 (6 enodes) 3.079 * * [simplify]: iters left: 4 (19 enodes) 3.085 * * [simplify]: Extracting #0: cost 1 inf + 0 3.085 * * [simplify]: Extracting #1: cost 3 inf + 0 3.085 * * [simplify]: Extracting #2: cost 5 inf + 0 3.085 * * [simplify]: Extracting #3: cost 8 inf + 0 3.085 * * [simplify]: Extracting #4: cost 9 inf + 1 3.085 * * [simplify]: Extracting #5: cost 0 inf + 938 3.085 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 3.085 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))))) 3.085 * * * * [progress]: [ 47 / 97 ] simplifiying candidate # 3.086 * [simplify]: Simplifying (sqrt 1) 3.086 * * [simplify]: iters left: 1 (2 enodes) 3.088 * * [simplify]: Extracting #0: cost 1 inf + 0 3.088 * * [simplify]: Extracting #1: cost 0 inf + 1 3.088 * [simplify]: Simplified to 1 3.088 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))) 3.088 * * * * [progress]: [ 48 / 97 ] simplifiying candidate # 3.088 * [simplify]: Simplifying (sqrt 1) 3.088 * * [simplify]: iters left: 1 (2 enodes) 3.090 * * [simplify]: Extracting #0: cost 1 inf + 0 3.090 * * [simplify]: Extracting #1: cost 0 inf + 1 3.090 * [simplify]: Simplified to 1 3.090 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))) 3.090 * * * * [progress]: [ 49 / 97 ] simplifiying candidate # 3.090 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 3.090 * * [simplify]: iters left: 5 (6 enodes) 3.091 * * [simplify]: iters left: 4 (19 enodes) 3.093 * * [simplify]: Extracting #0: cost 1 inf + 0 3.093 * * [simplify]: Extracting #1: cost 3 inf + 0 3.094 * * [simplify]: Extracting #2: cost 5 inf + 0 3.094 * * [simplify]: Extracting #3: cost 8 inf + 0 3.094 * * [simplify]: Extracting #4: cost 9 inf + 1 3.094 * * [simplify]: Extracting #5: cost 0 inf + 938 3.094 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 3.094 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))))) 3.094 * * * * [progress]: [ 50 / 97 ] simplifiying candidate # 3.094 * * * * [progress]: [ 51 / 97 ] simplifiying candidate # 3.094 * [simplify]: Simplifying (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0)) 3.094 * * [simplify]: iters left: 6 (11 enodes) 3.098 * * [simplify]: iters left: 5 (48 enodes) 3.113 * * [simplify]: iters left: 4 (83 enodes) 3.134 * * [simplify]: iters left: 3 (132 enodes) 3.165 * * [simplify]: iters left: 2 (222 enodes) 3.218 * * [simplify]: iters left: 1 (405 enodes) 3.362 * * [simplify]: Extracting #0: cost 1 inf + 0 3.362 * * [simplify]: Extracting #1: cost 4 inf + 0 3.362 * * [simplify]: Extracting #2: cost 10 inf + 0 3.362 * * [simplify]: Extracting #3: cost 33 inf + 42 3.363 * * [simplify]: Extracting #4: cost 91 inf + 127 3.364 * * [simplify]: Extracting #5: cost 108 inf + 5305 3.370 * * [simplify]: Extracting #6: cost 32 inf + 44327 3.384 * * [simplify]: Extracting #7: cost 2 inf + 62010 3.394 * * [simplify]: Extracting #8: cost 0 inf + 62450 3.404 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)))) 3.404 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))) 3.404 * * * * [progress]: [ 52 / 97 ] simplifiying candidate # 3.404 * [simplify]: Simplifying (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) 3.404 * * [simplify]: iters left: 6 (10 enodes) 3.408 * * [simplify]: iters left: 5 (37 enodes) 3.414 * * [simplify]: iters left: 4 (50 enodes) 3.422 * * [simplify]: iters left: 3 (69 enodes) 3.433 * * [simplify]: iters left: 2 (116 enodes) 3.456 * * [simplify]: iters left: 1 (221 enodes) 3.516 * * [simplify]: Extracting #0: cost 1 inf + 0 3.516 * * [simplify]: Extracting #1: cost 4 inf + 0 3.516 * * [simplify]: Extracting #2: cost 8 inf + 0 3.517 * * [simplify]: Extracting #3: cost 29 inf + 83 3.517 * * [simplify]: Extracting #4: cost 60 inf + 125 3.517 * * [simplify]: Extracting #5: cost 55 inf + 370 3.519 * * [simplify]: Extracting #6: cost 14 inf + 6968 3.522 * * [simplify]: Extracting #7: cost 0 inf + 9311 3.525 * * [simplify]: Extracting #8: cost 0 inf + 9241 3.528 * [simplify]: Simplified to (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) 3.528 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (sqrt (- (hypot re im) re))))) 3.528 * * * * [progress]: [ 53 / 97 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))))> 3.528 * * * * [progress]: [ 54 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 55 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 56 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 57 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 58 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 59 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 60 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 61 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 62 / 97 ] simplifiying candidate # 3.528 * * * * [progress]: [ 63 / 97 ] simplifiying candidate # 3.529 * * * * [progress]: [ 64 / 97 ] simplifiying candidate # 3.529 * * * * [progress]: [ 65 / 97 ] simplifiying candidate #real (real->posit16 (hypot re im))) re)) (sqrt 2.0))))> 3.529 * * * * [progress]: [ 66 / 97 ] simplifiying candidate # 3.529 * * * * [progress]: [ 67 / 97 ] simplifiying candidate # 3.529 * * * * [progress]: [ 68 / 97 ] simplifiying candidate # 3.529 * [simplify]: Simplifying (sqrt (hypot re im)) 3.529 * * [simplify]: iters left: 2 (4 enodes) 3.530 * * [simplify]: iters left: 1 (12 enodes) 3.532 * * [simplify]: Extracting #0: cost 1 inf + 0 3.532 * * [simplify]: Extracting #1: cost 3 inf + 0 3.532 * * [simplify]: Extracting #2: cost 6 inf + 0 3.532 * * [simplify]: Extracting #3: cost 4 inf + 2 3.532 * * [simplify]: Extracting #4: cost 0 inf + 310 3.532 * [simplify]: Simplified to (sqrt (hypot re im)) 3.533 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (hypot (sqrt (hypot re im)) (sqrt re)) (sqrt 2.0)))) 3.533 * * * * [progress]: [ 69 / 97 ] simplifiying candidate # 3.533 * * * * [progress]: [ 70 / 97 ] simplifiying candidate # 3.533 * * * * [progress]: [ 71 / 97 ] simplifiying candidate # 3.533 * * * * [progress]: [ 72 / 97 ] simplifiying candidate # 3.533 * * * * [progress]: [ 73 / 97 ] simplifiying candidate # 3.533 * * * * [progress]: [ 74 / 97 ] simplifiying candidate # 3.533 * * * * [progress]: [ 75 / 97 ] simplifiying candidate # 3.533 * [simplify]: Simplifying (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) 3.533 * * [simplify]: iters left: 6 (7 enodes) 3.539 * * [simplify]: iters left: 5 (23 enodes) 3.545 * * [simplify]: Extracting #0: cost 1 inf + 0 3.545 * * [simplify]: Extracting #1: cost 4 inf + 0 3.545 * * [simplify]: Extracting #2: cost 7 inf + 0 3.546 * * [simplify]: Extracting #3: cost 10 inf + 0 3.546 * * [simplify]: Extracting #4: cost 11 inf + 1 3.546 * * [simplify]: Extracting #5: cost 8 inf + 116 3.546 * * [simplify]: Extracting #6: cost 1 inf + 1315 3.546 * * [simplify]: Extracting #7: cost 0 inf + 1532 3.547 * [simplify]: Simplified to (fabs (cbrt (+ re (hypot re im)))) 3.547 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (* (fabs (cbrt (+ re (hypot re im)))) (sqrt (cbrt (+ (hypot re im) re)))) (sqrt 2.0)))) 3.547 * * * * [progress]: [ 76 / 97 ] simplifiying candidate # 3.547 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 3.548 * * [simplify]: iters left: 5 (6 enodes) 3.550 * * [simplify]: iters left: 4 (19 enodes) 3.555 * * [simplify]: Extracting #0: cost 1 inf + 0 3.555 * * [simplify]: Extracting #1: cost 3 inf + 0 3.555 * * [simplify]: Extracting #2: cost 5 inf + 0 3.555 * * [simplify]: Extracting #3: cost 8 inf + 0 3.555 * * [simplify]: Extracting #4: cost 9 inf + 1 3.555 * * [simplify]: Extracting #5: cost 0 inf + 938 3.556 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 3.556 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt 2.0)))) 3.556 * * * * [progress]: [ 77 / 97 ] simplifiying candidate # 3.556 * [simplify]: Simplifying (sqrt 1) 3.556 * * [simplify]: iters left: 1 (2 enodes) 3.559 * * [simplify]: Extracting #0: cost 1 inf + 0 3.559 * * [simplify]: Extracting #1: cost 0 inf + 1 3.559 * [simplify]: Simplified to 1 3.559 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (* 1 (sqrt (+ (hypot re im) re))) (sqrt 2.0)))) 3.560 * * * * [progress]: [ 78 / 97 ] simplifiying candidate # 3.560 * [simplify]: Simplifying (sqrt 1) 3.560 * * [simplify]: iters left: 1 (2 enodes) 3.563 * * [simplify]: Extracting #0: cost 1 inf + 0 3.563 * * [simplify]: Extracting #1: cost 0 inf + 1 3.563 * [simplify]: Simplified to 1 3.564 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (* 1 (sqrt (+ (hypot re im) re))) (sqrt 2.0)))) 3.564 * * * * [progress]: [ 79 / 97 ] simplifiying candidate # 3.564 * [simplify]: Simplifying (sqrt (+ (pow (hypot re im) 3) (pow re 3))) 3.564 * * [simplify]: iters left: 5 (8 enodes) 3.568 * * [simplify]: iters left: 4 (38 enodes) 3.576 * * [simplify]: iters left: 3 (73 enodes) 3.590 * * [simplify]: iters left: 2 (122 enodes) 3.627 * * [simplify]: iters left: 1 (208 enodes) 3.703 * * [simplify]: Extracting #0: cost 1 inf + 0 3.703 * * [simplify]: Extracting #1: cost 5 inf + 0 3.703 * * [simplify]: Extracting #2: cost 25 inf + 0 3.703 * * [simplify]: Extracting #3: cost 57 inf + 2 3.704 * * [simplify]: Extracting #4: cost 48 inf + 2620 3.706 * * [simplify]: Extracting #5: cost 18 inf + 12958 3.709 * * [simplify]: Extracting #6: cost 0 inf + 20679 3.711 * * [simplify]: Extracting #7: cost 0 inf + 20548 3.713 * [simplify]: Simplified to (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re)))) 3.713 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (/ (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (sqrt 2.0)))) 3.713 * * * * [progress]: [ 80 / 97 ] simplifiying candidate # 3.713 * [simplify]: Simplifying (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) 3.713 * * [simplify]: iters left: 6 (7 enodes) 3.715 * * [simplify]: iters left: 5 (27 enodes) 3.719 * * [simplify]: iters left: 4 (40 enodes) 3.724 * * [simplify]: iters left: 3 (59 enodes) 3.734 * * [simplify]: iters left: 2 (106 enodes) 3.766 * * [simplify]: iters left: 1 (211 enodes) 3.826 * * [simplify]: Extracting #0: cost 1 inf + 0 3.826 * * [simplify]: Extracting #1: cost 3 inf + 0 3.826 * * [simplify]: Extracting #2: cost 28 inf + 0 3.827 * * [simplify]: Extracting #3: cost 60 inf + 42 3.827 * * [simplify]: Extracting #4: cost 55 inf + 247 3.828 * * [simplify]: Extracting #5: cost 25 inf + 4751 3.831 * * [simplify]: Extracting #6: cost 3 inf + 8645 3.834 * * [simplify]: Extracting #7: cost 0 inf + 9036 3.838 * [simplify]: Simplified to (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) 3.838 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (/ (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (hypot re im) re))) (sqrt 2.0)))) 3.839 * * * * [progress]: [ 81 / 97 ] simplifiying candidate # 3.839 * [simplify]: Simplifying (+ (hypot re im) re) 3.839 * * [simplify]: iters left: 3 (4 enodes) 3.840 * * [simplify]: iters left: 2 (13 enodes) 3.841 * * [simplify]: Extracting #0: cost 1 inf + 0 3.841 * * [simplify]: Extracting #1: cost 4 inf + 0 3.841 * * [simplify]: Extracting #2: cost 5 inf + 1 3.841 * * [simplify]: Extracting #3: cost 4 inf + 2 3.841 * * [simplify]: Extracting #4: cost 0 inf + 310 3.841 * [simplify]: Simplified to (+ re (hypot re im)) 3.841 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (pow (+ re (hypot re im)) (/ 1 2)) (sqrt 2.0)))) 3.842 * * * * [progress]: [ 82 / 97 ] simplifiying candidate # 3.842 * * * * [progress]: [ 83 / 97 ] simplifiying candidate # 3.842 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 3.842 * * [simplify]: iters left: 4 (5 enodes) 3.843 * * [simplify]: iters left: 3 (16 enodes) 3.845 * * [simplify]: Extracting #0: cost 1 inf + 0 3.845 * * [simplify]: Extracting #1: cost 3 inf + 0 3.845 * * [simplify]: Extracting #2: cost 6 inf + 0 3.845 * * [simplify]: Extracting #3: cost 7 inf + 1 3.845 * * [simplify]: Extracting #4: cost 0 inf + 584 3.845 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 3.845 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (fabs (sqrt (+ re (hypot re im)))) (sqrt 2.0)))) 3.845 * * * * [progress]: [ 84 / 97 ] simplifiying candidate # 3.845 * * * * [progress]: [ 85 / 97 ] simplifiying candidate #real (real->posit16 (sqrt (+ (hypot re im) re)))) (sqrt 2.0))))> 3.845 * * * * [progress]: [ 86 / 97 ] simplifiying candidate # 3.845 * [simplify]: Simplifying (+ re im) 3.845 * * [simplify]: iters left: 2 (3 enodes) 3.846 * * [simplify]: iters left: 1 (10 enodes) 3.848 * * [simplify]: Extracting #0: cost 1 inf + 0 3.848 * * [simplify]: Extracting #1: cost 4 inf + 0 3.848 * * [simplify]: Extracting #2: cost 2 inf + 2 3.848 * * [simplify]: Extracting #3: cost 0 inf + 86 3.848 * [simplify]: Simplified to (+ im re) 3.848 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (+ im re)) (sqrt 2.0)))) 3.849 * * * * [progress]: [ 87 / 97 ] simplifiying candidate # 3.849 * [simplify]: Simplifying (* 2 re) 3.849 * * [simplify]: iters left: 2 (3 enodes) 3.851 * * [simplify]: iters left: 1 (10 enodes) 3.854 * * [simplify]: Extracting #0: cost 1 inf + 0 3.854 * * [simplify]: Extracting #1: cost 4 inf + 0 3.854 * * [simplify]: Extracting #2: cost 2 inf + 2 3.854 * * [simplify]: Extracting #3: cost 0 inf + 86 3.854 * [simplify]: Simplified to (* 2 re) 3.854 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (* 2 re)) (sqrt 2.0)))) 3.854 * * * * [progress]: [ 88 / 97 ] simplifiying candidate # 3.855 * [simplify]: Simplifying 0 3.855 * * [simplify]: iters left: 0 (1 enodes) 3.856 * * [simplify]: Extracting #0: cost 1 inf + 0 3.856 * * [simplify]: Extracting #1: cost 0 inf + 1 3.856 * [simplify]: Simplified to 0 3.856 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 0) (sqrt 2.0)))) 3.856 * * * * [progress]: [ 89 / 97 ] simplifiying candidate # 3.856 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 3.856 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 3.857 * * * * [progress]: [ 90 / 97 ] simplifiying candidate # 3.857 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.857 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 3.857 * * * * [progress]: [ 91 / 97 ] simplifiying candidate # 3.857 * [simplify]: Simplifying 0 3.857 * * [simplify]: iters left: 0 (1 enodes) 3.858 * * [simplify]: Extracting #0: cost 1 inf + 0 3.858 * * [simplify]: Extracting #1: cost 0 inf + 1 3.858 * [simplify]: Simplified to 0 3.858 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 3.858 * * * * [progress]: [ 92 / 97 ] simplifiying candidate # 3.859 * [simplify]: Simplifying im 3.859 * * [simplify]: iters left: 0 (1 enodes) 3.859 * * [simplify]: Extracting #0: cost 1 inf + 0 3.859 * * [simplify]: Extracting #1: cost 0 inf + 1 3.859 * [simplify]: Simplified to im 3.859 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (+ im re)) (sqrt 2.0)))) 3.859 * * * * [progress]: [ 93 / 97 ] simplifiying candidate # 3.859 * [simplify]: Simplifying re 3.860 * * [simplify]: iters left: 0 (1 enodes) 3.860 * * [simplify]: Extracting #0: cost 1 inf + 0 3.860 * * [simplify]: Extracting #1: cost 0 inf + 1 3.860 * [simplify]: Simplified to re 3.860 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (+ re re)) (sqrt 2.0)))) 3.860 * * * * [progress]: [ 94 / 97 ] simplifiying candidate # 3.860 * [simplify]: Simplifying (* -1 re) 3.860 * * [simplify]: iters left: 2 (3 enodes) 3.862 * * [simplify]: iters left: 1 (11 enodes) 3.865 * * [simplify]: Extracting #0: cost 1 inf + 0 3.866 * * [simplify]: Extracting #1: cost 4 inf + 0 3.866 * * [simplify]: Extracting #2: cost 0 inf + 84 3.866 * [simplify]: Simplified to (- re) 3.866 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (+ (- re) re)) (sqrt 2.0)))) 3.866 * * * * [progress]: [ 95 / 97 ] simplifiying candidate # 3.866 * [simplify]: Simplifying (- (+ (* +nan.0 re) (- (+ (* +nan.0 (pow re 2)) (- (* +nan.0 im)))))) 3.866 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* +nan.0 (sqrt 2.0)))) 3.866 * * * * [progress]: [ 96 / 97 ] simplifiying candidate # 3.867 * [simplify]: Simplifying (- (+ (* +nan.0 (/ 1 re)) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- +nan.0))))) 3.867 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* +nan.0 (sqrt 2.0)))) 3.867 * * * * [progress]: [ 97 / 97 ] simplifiying candidate # 3.867 * [simplify]: Simplifying 0 3.867 * * [simplify]: iters left: 0 (1 enodes) 3.868 * * [simplify]: Extracting #0: cost 1 inf + 0 3.868 * * [simplify]: Extracting #1: cost 0 inf + 1 3.868 * [simplify]: Simplified to 0 3.868 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 0 (sqrt 2.0)))) 3.868 * * * [progress]: adding candidates to table 4.870 * * [progress]: iteration 3 / 4 4.870 * * * [progress]: picking best candidate 4.908 * * * * [pick]: Picked # 4.908 * * * [progress]: localizing error 4.926 * * * [progress]: generating rewritten candidates 4.926 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.935 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 4.948 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.971 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 4.973 * * * [progress]: generating series expansions 4.973 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.974 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 4.974 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 4.974 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 4.974 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.974 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.974 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.974 * [taylor]: Taking taylor expansion of (* re re) in im 4.974 * [taylor]: Taking taylor expansion of re in im 4.974 * [backup-simplify]: Simplify re into re 4.974 * [taylor]: Taking taylor expansion of re in im 4.974 * [backup-simplify]: Simplify re into re 4.974 * [taylor]: Taking taylor expansion of (* im im) in im 4.974 * [taylor]: Taking taylor expansion of im in im 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [taylor]: Taking taylor expansion of im in im 4.974 * [backup-simplify]: Simplify 0 into 0 4.974 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.975 * [backup-simplify]: Simplify (* 0 0) into 0 4.975 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.975 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.975 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.975 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.976 * [backup-simplify]: Simplify (+ 0 0) into 0 4.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.976 * [taylor]: Taking taylor expansion of re in im 4.976 * [backup-simplify]: Simplify re into re 4.976 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.976 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.976 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.976 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.976 * [taylor]: Taking taylor expansion of (* re re) in re 4.976 * [taylor]: Taking taylor expansion of re in re 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of re in re 4.976 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify 1 into 1 4.976 * [taylor]: Taking taylor expansion of (* im im) in re 4.976 * [taylor]: Taking taylor expansion of im in re 4.976 * [backup-simplify]: Simplify im into im 4.976 * [taylor]: Taking taylor expansion of im in re 4.976 * [backup-simplify]: Simplify im into im 4.976 * [backup-simplify]: Simplify (* 0 0) into 0 4.976 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.976 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.976 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.977 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.977 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.977 * [backup-simplify]: Simplify (+ 0 0) into 0 4.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.977 * [taylor]: Taking taylor expansion of re in re 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.977 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.977 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.977 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.977 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.977 * [taylor]: Taking taylor expansion of (* re re) in re 4.977 * [taylor]: Taking taylor expansion of re in re 4.977 * [backup-simplify]: Simplify 0 into 0 4.977 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of re in re 4.978 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify 1 into 1 4.978 * [taylor]: Taking taylor expansion of (* im im) in re 4.978 * [taylor]: Taking taylor expansion of im in re 4.978 * [backup-simplify]: Simplify im into im 4.978 * [taylor]: Taking taylor expansion of im in re 4.978 * [backup-simplify]: Simplify im into im 4.978 * [backup-simplify]: Simplify (* 0 0) into 0 4.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.978 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.978 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.979 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.979 * [backup-simplify]: Simplify (+ 0 0) into 0 4.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.979 * [taylor]: Taking taylor expansion of re in re 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify (+ im 0) into im 4.979 * [taylor]: Taking taylor expansion of im in im 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify 0 into 0 4.979 * [backup-simplify]: Simplify (+ 0 1) into 1 4.979 * [taylor]: Taking taylor expansion of 1 in im 4.979 * [backup-simplify]: Simplify 1 into 1 4.979 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify 1 into 1 4.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.981 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.981 * [backup-simplify]: Simplify (+ 1 0) into 1 4.981 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.982 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.982 * [taylor]: Taking taylor expansion of 1/2 in im 4.982 * [backup-simplify]: Simplify 1/2 into 1/2 4.982 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.982 * [taylor]: Taking taylor expansion of im in im 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 1 into 1 4.982 * [backup-simplify]: Simplify (/ 1 1) into 1 4.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify 0 into 0 4.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.984 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.984 * [backup-simplify]: Simplify (+ 0 0) into 0 4.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.985 * [backup-simplify]: Simplify (+ 0 0) into 0 4.985 * [taylor]: Taking taylor expansion of 0 in im 4.985 * [backup-simplify]: Simplify 0 into 0 4.985 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.986 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.987 * [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))) 4.987 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 4.987 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.987 * [taylor]: Taking taylor expansion of re in im 4.987 * [backup-simplify]: Simplify re into re 4.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.987 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.987 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.987 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.987 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.987 * [taylor]: Taking taylor expansion of re in im 4.987 * [backup-simplify]: Simplify re into re 4.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.987 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.987 * [taylor]: Taking taylor expansion of re in im 4.987 * [backup-simplify]: Simplify re into re 4.987 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.987 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.987 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.987 * [taylor]: Taking taylor expansion of im in im 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.987 * [backup-simplify]: Simplify (/ 1 1) into 1 4.987 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.987 * [taylor]: Taking taylor expansion of im in im 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 1 into 1 4.988 * [backup-simplify]: Simplify (/ 1 1) into 1 4.988 * [backup-simplify]: Simplify (* 1 1) into 1 4.988 * [backup-simplify]: Simplify (+ 0 1) into 1 4.988 * [backup-simplify]: Simplify (sqrt 1) into 1 4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.990 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.990 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.990 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.990 * [taylor]: Taking taylor expansion of re in re 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.991 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.991 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.991 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.991 * [taylor]: Taking taylor expansion of re in re 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.991 * [taylor]: Taking taylor expansion of re in re 4.991 * [backup-simplify]: Simplify 0 into 0 4.991 * [backup-simplify]: Simplify 1 into 1 4.991 * [backup-simplify]: Simplify (/ 1 1) into 1 4.991 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.991 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.991 * [taylor]: Taking taylor expansion of im in re 4.991 * [backup-simplify]: Simplify im into im 4.992 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.992 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.992 * [taylor]: Taking taylor expansion of im in re 4.992 * [backup-simplify]: Simplify im into im 4.992 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.992 * [backup-simplify]: Simplify (* 1 1) into 1 4.992 * [backup-simplify]: Simplify (+ 1 0) into 1 4.992 * [backup-simplify]: Simplify (sqrt 1) into 1 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.994 * [backup-simplify]: Simplify (+ 0 0) into 0 4.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.994 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.994 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.994 * [taylor]: Taking taylor expansion of re in re 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ 1 1) into 1 4.995 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.995 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.995 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.995 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.995 * [taylor]: Taking taylor expansion of re in re 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ 1 1) into 1 4.995 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.995 * [taylor]: Taking taylor expansion of re in re 4.995 * [backup-simplify]: Simplify 0 into 0 4.995 * [backup-simplify]: Simplify 1 into 1 4.995 * [backup-simplify]: Simplify (/ 1 1) into 1 4.995 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.995 * [taylor]: Taking taylor expansion of im in re 4.995 * [backup-simplify]: Simplify im into im 4.995 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.995 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.995 * [taylor]: Taking taylor expansion of im in re 4.995 * [backup-simplify]: Simplify im into im 4.995 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.996 * [backup-simplify]: Simplify (* 1 1) into 1 4.996 * [backup-simplify]: Simplify (+ 1 0) into 1 4.996 * [backup-simplify]: Simplify (sqrt 1) into 1 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.998 * [backup-simplify]: Simplify (+ 0 0) into 0 4.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.998 * [backup-simplify]: Simplify (+ 1 1) into 2 4.998 * [taylor]: Taking taylor expansion of 2 in im 4.998 * [backup-simplify]: Simplify 2 into 2 4.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ 0 0) into 0 4.999 * [taylor]: Taking taylor expansion of 0 in im 4.999 * [backup-simplify]: Simplify 0 into 0 4.999 * [backup-simplify]: Simplify 2 into 2 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.001 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.002 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.002 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.002 * [taylor]: Taking taylor expansion of 1/2 in im 5.002 * [backup-simplify]: Simplify 1/2 into 1/2 5.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.002 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.002 * [taylor]: Taking taylor expansion of im in im 5.002 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify 1 into 1 5.003 * [backup-simplify]: Simplify (* 1 1) into 1 5.003 * [backup-simplify]: Simplify (/ 1 1) into 1 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.007 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.007 * [backup-simplify]: Simplify (+ 0 0) into 0 5.007 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.007 * [backup-simplify]: Simplify (+ 0 0) into 0 5.008 * [taylor]: Taking taylor expansion of 0 in im 5.008 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.009 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 5.009 * [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)) 5.010 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 5.010 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.010 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.010 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.010 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.010 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.010 * [taylor]: Taking taylor expansion of -1 in im 5.010 * [backup-simplify]: Simplify -1 into -1 5.010 * [taylor]: Taking taylor expansion of re in im 5.010 * [backup-simplify]: Simplify re into re 5.010 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.010 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.010 * [taylor]: Taking taylor expansion of -1 in im 5.010 * [backup-simplify]: Simplify -1 into -1 5.010 * [taylor]: Taking taylor expansion of re in im 5.010 * [backup-simplify]: Simplify re into re 5.010 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.010 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.010 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.010 * [taylor]: Taking taylor expansion of -1 in im 5.010 * [backup-simplify]: Simplify -1 into -1 5.010 * [taylor]: Taking taylor expansion of im in im 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 1 into 1 5.010 * [backup-simplify]: Simplify (/ -1 1) into -1 5.010 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.010 * [taylor]: Taking taylor expansion of -1 in im 5.010 * [backup-simplify]: Simplify -1 into -1 5.010 * [taylor]: Taking taylor expansion of im in im 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 1 into 1 5.011 * [backup-simplify]: Simplify (/ -1 1) into -1 5.011 * [backup-simplify]: Simplify (* -1 -1) into 1 5.011 * [backup-simplify]: Simplify (+ 0 1) into 1 5.011 * [backup-simplify]: Simplify (sqrt 1) into 1 5.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.013 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.013 * [backup-simplify]: Simplify (+ 0 0) into 0 5.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.013 * [taylor]: Taking taylor expansion of re in im 5.013 * [backup-simplify]: Simplify re into re 5.013 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.013 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.013 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.014 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.014 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.014 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.014 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.014 * [taylor]: Taking taylor expansion of -1 in re 5.014 * [backup-simplify]: Simplify -1 into -1 5.014 * [taylor]: Taking taylor expansion of re in re 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (/ -1 1) into -1 5.014 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.014 * [taylor]: Taking taylor expansion of -1 in re 5.014 * [backup-simplify]: Simplify -1 into -1 5.014 * [taylor]: Taking taylor expansion of re in re 5.014 * [backup-simplify]: Simplify 0 into 0 5.014 * [backup-simplify]: Simplify 1 into 1 5.014 * [backup-simplify]: Simplify (/ -1 1) into -1 5.014 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.014 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.014 * [taylor]: Taking taylor expansion of -1 in re 5.014 * [backup-simplify]: Simplify -1 into -1 5.014 * [taylor]: Taking taylor expansion of im in re 5.014 * [backup-simplify]: Simplify im into im 5.014 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.014 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.014 * [taylor]: Taking taylor expansion of -1 in re 5.014 * [backup-simplify]: Simplify -1 into -1 5.014 * [taylor]: Taking taylor expansion of im in re 5.014 * [backup-simplify]: Simplify im into im 5.015 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.015 * [backup-simplify]: Simplify (* -1 -1) into 1 5.015 * [backup-simplify]: Simplify (+ 1 0) into 1 5.015 * [backup-simplify]: Simplify (sqrt 1) into 1 5.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.017 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.017 * [backup-simplify]: Simplify (+ 0 0) into 0 5.017 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.017 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.017 * [taylor]: Taking taylor expansion of re in re 5.017 * [backup-simplify]: Simplify 0 into 0 5.017 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (/ 1 1) into 1 5.018 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.018 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.018 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.018 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.018 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.018 * [taylor]: Taking taylor expansion of -1 in re 5.018 * [backup-simplify]: Simplify -1 into -1 5.018 * [taylor]: Taking taylor expansion of re in re 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (/ -1 1) into -1 5.018 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.018 * [taylor]: Taking taylor expansion of -1 in re 5.018 * [backup-simplify]: Simplify -1 into -1 5.018 * [taylor]: Taking taylor expansion of re in re 5.018 * [backup-simplify]: Simplify 0 into 0 5.018 * [backup-simplify]: Simplify 1 into 1 5.018 * [backup-simplify]: Simplify (/ -1 1) into -1 5.018 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.018 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.018 * [taylor]: Taking taylor expansion of -1 in re 5.018 * [backup-simplify]: Simplify -1 into -1 5.018 * [taylor]: Taking taylor expansion of im in re 5.019 * [backup-simplify]: Simplify im into im 5.019 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.019 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.019 * [taylor]: Taking taylor expansion of -1 in re 5.019 * [backup-simplify]: Simplify -1 into -1 5.019 * [taylor]: Taking taylor expansion of im in re 5.019 * [backup-simplify]: Simplify im into im 5.019 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.019 * [backup-simplify]: Simplify (* -1 -1) into 1 5.019 * [backup-simplify]: Simplify (+ 1 0) into 1 5.019 * [backup-simplify]: Simplify (sqrt 1) into 1 5.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.021 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.021 * [backup-simplify]: Simplify (+ 0 0) into 0 5.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.022 * [taylor]: Taking taylor expansion of re in re 5.022 * [backup-simplify]: Simplify 0 into 0 5.022 * [backup-simplify]: Simplify 1 into 1 5.022 * [backup-simplify]: Simplify (/ 1 1) into 1 5.022 * [backup-simplify]: Simplify (- 1) into -1 5.022 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.023 * [taylor]: Taking taylor expansion of 0 in im 5.023 * [backup-simplify]: Simplify 0 into 0 5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.023 * [backup-simplify]: Simplify (- 0) into 0 5.023 * [backup-simplify]: Simplify (+ 0 0) into 0 5.023 * [taylor]: Taking taylor expansion of 0 in im 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify 0 into 0 5.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.025 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.025 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.025 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.026 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.027 * [backup-simplify]: Simplify (- 0) into 0 5.027 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 5.027 * [taylor]: Taking taylor expansion of 1/2 in im 5.027 * [backup-simplify]: Simplify 1/2 into 1/2 5.027 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 5.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.027 * [taylor]: Taking taylor expansion of im in im 5.027 * [backup-simplify]: Simplify 0 into 0 5.027 * [backup-simplify]: Simplify 1 into 1 5.027 * [backup-simplify]: Simplify (* 1 1) into 1 5.028 * [backup-simplify]: Simplify (/ 1 1) into 1 5.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify 0 into 0 5.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.030 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.031 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.031 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.031 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.031 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.031 * [backup-simplify]: Simplify (+ 0 0) into 0 5.032 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.032 * [backup-simplify]: Simplify (- 0) into 0 5.032 * [backup-simplify]: Simplify (+ 0 0) into 0 5.033 * [taylor]: Taking taylor expansion of 0 in im 5.033 * [backup-simplify]: Simplify 0 into 0 5.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * [backup-simplify]: Simplify 0 into 0 5.034 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 5.034 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 5.034 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 5.034 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.034 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.034 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.034 * [taylor]: Taking taylor expansion of (* re re) in im 5.034 * [taylor]: Taking taylor expansion of re in im 5.034 * [backup-simplify]: Simplify re into re 5.035 * [taylor]: Taking taylor expansion of re in im 5.035 * [backup-simplify]: Simplify re into re 5.035 * [taylor]: Taking taylor expansion of (* im im) in im 5.035 * [taylor]: Taking taylor expansion of im in im 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [taylor]: Taking taylor expansion of im in im 5.035 * [backup-simplify]: Simplify 0 into 0 5.035 * [backup-simplify]: Simplify 1 into 1 5.035 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.035 * [backup-simplify]: Simplify (* 0 0) into 0 5.035 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.035 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.035 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.035 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.036 * [backup-simplify]: Simplify (+ 0 0) into 0 5.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.036 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.036 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.036 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.036 * [taylor]: Taking taylor expansion of (* re re) in re 5.036 * [taylor]: Taking taylor expansion of re in re 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.036 * [taylor]: Taking taylor expansion of re in re 5.036 * [backup-simplify]: Simplify 0 into 0 5.036 * [backup-simplify]: Simplify 1 into 1 5.036 * [taylor]: Taking taylor expansion of (* im im) in re 5.036 * [taylor]: Taking taylor expansion of im in re 5.036 * [backup-simplify]: Simplify im into im 5.036 * [taylor]: Taking taylor expansion of im in re 5.036 * [backup-simplify]: Simplify im into im 5.036 * [backup-simplify]: Simplify (* 0 0) into 0 5.036 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.036 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.036 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.037 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.037 * [backup-simplify]: Simplify (+ 0 0) into 0 5.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.037 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.037 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.037 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.037 * [taylor]: Taking taylor expansion of (* re re) in re 5.037 * [taylor]: Taking taylor expansion of re in re 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [taylor]: Taking taylor expansion of re in re 5.037 * [backup-simplify]: Simplify 0 into 0 5.037 * [backup-simplify]: Simplify 1 into 1 5.037 * [taylor]: Taking taylor expansion of (* im im) in re 5.037 * [taylor]: Taking taylor expansion of im in re 5.037 * [backup-simplify]: Simplify im into im 5.037 * [taylor]: Taking taylor expansion of im in re 5.037 * [backup-simplify]: Simplify im into im 5.038 * [backup-simplify]: Simplify (* 0 0) into 0 5.038 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.038 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.038 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.038 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.038 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.039 * [backup-simplify]: Simplify (+ 0 0) into 0 5.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.039 * [taylor]: Taking taylor expansion of im in im 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [taylor]: Taking taylor expansion of 0 in im 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 0 into 0 5.039 * [backup-simplify]: Simplify 1 into 1 5.039 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.040 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.040 * [backup-simplify]: Simplify (+ 1 0) into 1 5.040 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.040 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.040 * [taylor]: Taking taylor expansion of 1/2 in im 5.040 * [backup-simplify]: Simplify 1/2 into 1/2 5.040 * [taylor]: Taking taylor expansion of im in im 5.040 * [backup-simplify]: Simplify 0 into 0 5.040 * [backup-simplify]: Simplify 1 into 1 5.041 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 0 into 0 5.041 * [backup-simplify]: Simplify 0 into 0 5.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.046 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.047 * [backup-simplify]: Simplify (+ 0 0) into 0 5.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.047 * [taylor]: Taking taylor expansion of 0 in im 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify 0 into 0 5.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.048 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 5.048 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 5.048 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.048 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.048 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.048 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.048 * [taylor]: Taking taylor expansion of re in im 5.048 * [backup-simplify]: Simplify re into re 5.048 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.048 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.048 * [taylor]: Taking taylor expansion of re in im 5.048 * [backup-simplify]: Simplify re into re 5.048 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.048 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.048 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.048 * [taylor]: Taking taylor expansion of im in im 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.048 * [backup-simplify]: Simplify (/ 1 1) into 1 5.048 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.048 * [taylor]: Taking taylor expansion of im in im 5.048 * [backup-simplify]: Simplify 0 into 0 5.048 * [backup-simplify]: Simplify 1 into 1 5.049 * [backup-simplify]: Simplify (/ 1 1) into 1 5.049 * [backup-simplify]: Simplify (* 1 1) into 1 5.049 * [backup-simplify]: Simplify (+ 0 1) into 1 5.049 * [backup-simplify]: Simplify (sqrt 1) into 1 5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.051 * [backup-simplify]: Simplify (+ 0 0) into 0 5.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.051 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.051 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.051 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.051 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.051 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.051 * [taylor]: Taking taylor expansion of re in re 5.051 * [backup-simplify]: Simplify 0 into 0 5.051 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.052 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.052 * [taylor]: Taking taylor expansion of re in re 5.052 * [backup-simplify]: Simplify 0 into 0 5.052 * [backup-simplify]: Simplify 1 into 1 5.052 * [backup-simplify]: Simplify (/ 1 1) into 1 5.052 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.052 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.052 * [taylor]: Taking taylor expansion of im in re 5.052 * [backup-simplify]: Simplify im into im 5.052 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.052 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.052 * [taylor]: Taking taylor expansion of im in re 5.052 * [backup-simplify]: Simplify im into im 5.052 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.052 * [backup-simplify]: Simplify (* 1 1) into 1 5.053 * [backup-simplify]: Simplify (+ 1 0) into 1 5.053 * [backup-simplify]: Simplify (sqrt 1) into 1 5.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.054 * [backup-simplify]: Simplify (+ 0 0) into 0 5.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.055 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.055 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.055 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.055 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.055 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.055 * [taylor]: Taking taylor expansion of re in re 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.055 * [backup-simplify]: Simplify (/ 1 1) into 1 5.055 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.055 * [taylor]: Taking taylor expansion of re in re 5.055 * [backup-simplify]: Simplify 0 into 0 5.055 * [backup-simplify]: Simplify 1 into 1 5.056 * [backup-simplify]: Simplify (/ 1 1) into 1 5.056 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.056 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.056 * [taylor]: Taking taylor expansion of im in re 5.056 * [backup-simplify]: Simplify im into im 5.056 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.056 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.056 * [taylor]: Taking taylor expansion of im in re 5.056 * [backup-simplify]: Simplify im into im 5.056 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.056 * [backup-simplify]: Simplify (* 1 1) into 1 5.056 * [backup-simplify]: Simplify (+ 1 0) into 1 5.057 * [backup-simplify]: Simplify (sqrt 1) into 1 5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.058 * [backup-simplify]: Simplify (+ 0 0) into 0 5.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.059 * [taylor]: Taking taylor expansion of 1 in im 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [taylor]: Taking taylor expansion of 0 in im 5.059 * [backup-simplify]: Simplify 0 into 0 5.059 * [backup-simplify]: Simplify 1 into 1 5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.060 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.060 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.061 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.061 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.061 * [taylor]: Taking taylor expansion of 1/2 in im 5.061 * [backup-simplify]: Simplify 1/2 into 1/2 5.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.061 * [taylor]: Taking taylor expansion of im in im 5.061 * [backup-simplify]: Simplify 0 into 0 5.061 * [backup-simplify]: Simplify 1 into 1 5.062 * [backup-simplify]: Simplify (* 1 1) into 1 5.062 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify 0 into 0 5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.065 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.065 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.065 * [backup-simplify]: Simplify (+ 0 0) into 0 5.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.065 * [taylor]: Taking taylor expansion of 0 in im 5.065 * [backup-simplify]: Simplify 0 into 0 5.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.067 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 5.067 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 5.067 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.067 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.067 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.067 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.067 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.067 * [taylor]: Taking taylor expansion of -1 in im 5.067 * [backup-simplify]: Simplify -1 into -1 5.067 * [taylor]: Taking taylor expansion of re in im 5.067 * [backup-simplify]: Simplify re into re 5.067 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.067 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.067 * [taylor]: Taking taylor expansion of -1 in im 5.067 * [backup-simplify]: Simplify -1 into -1 5.067 * [taylor]: Taking taylor expansion of re in im 5.067 * [backup-simplify]: Simplify re into re 5.067 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.067 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.067 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.067 * [taylor]: Taking taylor expansion of -1 in im 5.067 * [backup-simplify]: Simplify -1 into -1 5.067 * [taylor]: Taking taylor expansion of im in im 5.067 * [backup-simplify]: Simplify 0 into 0 5.067 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ -1 1) into -1 5.068 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.068 * [taylor]: Taking taylor expansion of -1 in im 5.068 * [backup-simplify]: Simplify -1 into -1 5.068 * [taylor]: Taking taylor expansion of im in im 5.068 * [backup-simplify]: Simplify 0 into 0 5.068 * [backup-simplify]: Simplify 1 into 1 5.068 * [backup-simplify]: Simplify (/ -1 1) into -1 5.068 * [backup-simplify]: Simplify (* -1 -1) into 1 5.068 * [backup-simplify]: Simplify (+ 0 1) into 1 5.069 * [backup-simplify]: Simplify (sqrt 1) into 1 5.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.070 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.070 * [backup-simplify]: Simplify (+ 0 0) into 0 5.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.071 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.071 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.071 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.071 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.071 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.071 * [taylor]: Taking taylor expansion of -1 in re 5.071 * [backup-simplify]: Simplify -1 into -1 5.071 * [taylor]: Taking taylor expansion of re in re 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.071 * [backup-simplify]: Simplify (/ -1 1) into -1 5.071 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.071 * [taylor]: Taking taylor expansion of -1 in re 5.071 * [backup-simplify]: Simplify -1 into -1 5.071 * [taylor]: Taking taylor expansion of re in re 5.071 * [backup-simplify]: Simplify 0 into 0 5.071 * [backup-simplify]: Simplify 1 into 1 5.072 * [backup-simplify]: Simplify (/ -1 1) into -1 5.072 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.072 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.072 * [taylor]: Taking taylor expansion of -1 in re 5.072 * [backup-simplify]: Simplify -1 into -1 5.072 * [taylor]: Taking taylor expansion of im in re 5.072 * [backup-simplify]: Simplify im into im 5.072 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.072 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.072 * [taylor]: Taking taylor expansion of -1 in re 5.072 * [backup-simplify]: Simplify -1 into -1 5.072 * [taylor]: Taking taylor expansion of im in re 5.072 * [backup-simplify]: Simplify im into im 5.072 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.072 * [backup-simplify]: Simplify (* -1 -1) into 1 5.073 * [backup-simplify]: Simplify (+ 1 0) into 1 5.073 * [backup-simplify]: Simplify (sqrt 1) into 1 5.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.074 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.074 * [backup-simplify]: Simplify (+ 0 0) into 0 5.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.075 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.075 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.075 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.075 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.075 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.075 * [taylor]: Taking taylor expansion of -1 in re 5.075 * [backup-simplify]: Simplify -1 into -1 5.075 * [taylor]: Taking taylor expansion of re in re 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [backup-simplify]: Simplify (/ -1 1) into -1 5.075 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.075 * [taylor]: Taking taylor expansion of -1 in re 5.075 * [backup-simplify]: Simplify -1 into -1 5.075 * [taylor]: Taking taylor expansion of re in re 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.076 * [backup-simplify]: Simplify (/ -1 1) into -1 5.076 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.076 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.076 * [taylor]: Taking taylor expansion of -1 in re 5.076 * [backup-simplify]: Simplify -1 into -1 5.076 * [taylor]: Taking taylor expansion of im in re 5.076 * [backup-simplify]: Simplify im into im 5.076 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.076 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.076 * [taylor]: Taking taylor expansion of -1 in re 5.076 * [backup-simplify]: Simplify -1 into -1 5.076 * [taylor]: Taking taylor expansion of im in re 5.076 * [backup-simplify]: Simplify im into im 5.076 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.076 * [backup-simplify]: Simplify (* -1 -1) into 1 5.076 * [backup-simplify]: Simplify (+ 1 0) into 1 5.077 * [backup-simplify]: Simplify (sqrt 1) into 1 5.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.078 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.078 * [backup-simplify]: Simplify (+ 0 0) into 0 5.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.079 * [taylor]: Taking taylor expansion of 1 in im 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [taylor]: Taking taylor expansion of 0 in im 5.079 * [backup-simplify]: Simplify 0 into 0 5.079 * [backup-simplify]: Simplify 1 into 1 5.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.081 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.081 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.082 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.082 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.082 * [taylor]: Taking taylor expansion of 1/2 in im 5.082 * [backup-simplify]: Simplify 1/2 into 1/2 5.082 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.082 * [taylor]: Taking taylor expansion of im in im 5.082 * [backup-simplify]: Simplify 0 into 0 5.082 * [backup-simplify]: Simplify 1 into 1 5.082 * [backup-simplify]: Simplify (* 1 1) into 1 5.082 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.083 * [backup-simplify]: Simplify 0 into 0 5.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.085 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.086 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.086 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.086 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.086 * [backup-simplify]: Simplify (+ 0 0) into 0 5.086 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.086 * [taylor]: Taking taylor expansion of 0 in im 5.086 * [backup-simplify]: Simplify 0 into 0 5.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.087 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.088 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.088 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 5.088 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 5.088 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 5.088 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.088 * [taylor]: Taking taylor expansion of 2.0 in im 5.088 * [backup-simplify]: Simplify 2.0 into 2.0 5.088 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.089 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 5.089 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 5.089 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.089 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.089 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.089 * [taylor]: Taking taylor expansion of (* re re) in im 5.089 * [taylor]: Taking taylor expansion of re in im 5.089 * [backup-simplify]: Simplify re into re 5.089 * [taylor]: Taking taylor expansion of re in im 5.089 * [backup-simplify]: Simplify re into re 5.089 * [taylor]: Taking taylor expansion of (* im im) in im 5.089 * [taylor]: Taking taylor expansion of im in im 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [taylor]: Taking taylor expansion of im in im 5.089 * [backup-simplify]: Simplify 0 into 0 5.089 * [backup-simplify]: Simplify 1 into 1 5.089 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.089 * [backup-simplify]: Simplify (* 0 0) into 0 5.089 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.089 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.089 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.090 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.090 * [taylor]: Taking taylor expansion of re in im 5.090 * [backup-simplify]: Simplify re into re 5.090 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 5.090 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 5.090 * [backup-simplify]: Simplify (+ 0 0) into 0 5.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 5.090 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 5.091 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.091 * [taylor]: Taking taylor expansion of 2.0 in re 5.091 * [backup-simplify]: Simplify 2.0 into 2.0 5.091 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.091 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 5.091 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.091 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.091 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.091 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.091 * [taylor]: Taking taylor expansion of (* re re) in re 5.091 * [taylor]: Taking taylor expansion of re in re 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [taylor]: Taking taylor expansion of re in re 5.091 * [backup-simplify]: Simplify 0 into 0 5.091 * [backup-simplify]: Simplify 1 into 1 5.091 * [taylor]: Taking taylor expansion of (* im im) in re 5.091 * [taylor]: Taking taylor expansion of im in re 5.091 * [backup-simplify]: Simplify im into im 5.092 * [taylor]: Taking taylor expansion of im in re 5.092 * [backup-simplify]: Simplify im into im 5.092 * [backup-simplify]: Simplify (* 0 0) into 0 5.092 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.092 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.092 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.092 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.093 * [backup-simplify]: Simplify (+ 0 0) into 0 5.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.093 * [taylor]: Taking taylor expansion of re in re 5.093 * [backup-simplify]: Simplify 0 into 0 5.093 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (+ im 0) into im 5.093 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 5.093 * [backup-simplify]: Simplify (+ 0 1) into 1 5.093 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 5.093 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 5.093 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.093 * [taylor]: Taking taylor expansion of 2.0 in re 5.093 * [backup-simplify]: Simplify 2.0 into 2.0 5.093 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.094 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 5.094 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 5.094 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.094 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.094 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.094 * [taylor]: Taking taylor expansion of (* re re) in re 5.094 * [taylor]: Taking taylor expansion of re in re 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [taylor]: Taking taylor expansion of re in re 5.094 * [backup-simplify]: Simplify 0 into 0 5.094 * [backup-simplify]: Simplify 1 into 1 5.094 * [taylor]: Taking taylor expansion of (* im im) in re 5.094 * [taylor]: Taking taylor expansion of im in re 5.094 * [backup-simplify]: Simplify im into im 5.094 * [taylor]: Taking taylor expansion of im in re 5.094 * [backup-simplify]: Simplify im into im 5.094 * [backup-simplify]: Simplify (* 0 0) into 0 5.094 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.094 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.095 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.095 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.095 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.095 * [backup-simplify]: Simplify (+ 0 0) into 0 5.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.095 * [taylor]: Taking taylor expansion of re in re 5.095 * [backup-simplify]: Simplify 0 into 0 5.095 * [backup-simplify]: Simplify 1 into 1 5.095 * [backup-simplify]: Simplify (+ im 0) into im 5.095 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 5.096 * [backup-simplify]: Simplify (+ 0 1) into 1 5.096 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 5.096 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 5.096 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 5.096 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.096 * [taylor]: Taking taylor expansion of 2.0 in im 5.096 * [backup-simplify]: Simplify 2.0 into 2.0 5.096 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.097 * [taylor]: Taking taylor expansion of (sqrt im) in im 5.097 * [taylor]: Taking taylor expansion of im in im 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [backup-simplify]: Simplify (sqrt 0) into 0 5.098 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.098 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.098 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 5.099 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 5.099 * [taylor]: Taking taylor expansion of 1/2 in im 5.099 * [backup-simplify]: Simplify 1/2 into 1/2 5.099 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 5.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.099 * [taylor]: Taking taylor expansion of 2.0 in im 5.099 * [backup-simplify]: Simplify 2.0 into 2.0 5.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 5.100 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.100 * [taylor]: Taking taylor expansion of im in im 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (/ 1 1) into 1 5.100 * [backup-simplify]: Simplify (sqrt 0) into 0 5.101 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.102 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.102 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.105 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.105 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.107 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.108 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.110 * [backup-simplify]: Simplify (+ 1 0) into 1 5.111 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.111 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 5.112 * [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)))) 5.113 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.113 * [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))))) 5.114 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 5.114 * [taylor]: Taking taylor expansion of 1/8 in im 5.114 * [backup-simplify]: Simplify 1/8 into 1/8 5.114 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 5.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.114 * [taylor]: Taking taylor expansion of 2.0 in im 5.114 * [backup-simplify]: Simplify 2.0 into 2.0 5.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 5.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 5.115 * [taylor]: Taking taylor expansion of (pow im 3) in im 5.115 * [taylor]: Taking taylor expansion of im in im 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (* 1 1) into 1 5.116 * [backup-simplify]: Simplify (* 1 1) into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.117 * [backup-simplify]: Simplify (sqrt 0) into 0 5.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.123 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.127 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.129 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.129 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.134 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.135 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.138 * [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))))))) 5.138 * [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))))) 5.138 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 5.138 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 5.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.138 * [taylor]: Taking taylor expansion of 2.0 in im 5.138 * [backup-simplify]: Simplify 2.0 into 2.0 5.139 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 5.139 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 5.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.139 * [taylor]: Taking taylor expansion of re in im 5.139 * [backup-simplify]: Simplify re into re 5.139 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.139 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.139 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.139 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.139 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.139 * [taylor]: Taking taylor expansion of re in im 5.139 * [backup-simplify]: Simplify re into re 5.139 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.139 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.139 * [taylor]: Taking taylor expansion of re in im 5.139 * [backup-simplify]: Simplify re into re 5.139 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.139 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.139 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.139 * [taylor]: Taking taylor expansion of im in im 5.139 * [backup-simplify]: Simplify 0 into 0 5.139 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (/ 1 1) into 1 5.140 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.140 * [taylor]: Taking taylor expansion of im in im 5.140 * [backup-simplify]: Simplify 0 into 0 5.140 * [backup-simplify]: Simplify 1 into 1 5.140 * [backup-simplify]: Simplify (/ 1 1) into 1 5.140 * [backup-simplify]: Simplify (* 1 1) into 1 5.140 * [backup-simplify]: Simplify (+ 0 1) into 1 5.141 * [backup-simplify]: Simplify (sqrt 1) into 1 5.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.142 * [backup-simplify]: Simplify (+ 0 0) into 0 5.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.143 * [backup-simplify]: Simplify (+ 0 1) into 1 5.143 * [backup-simplify]: Simplify (sqrt 0) into 0 5.148 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.148 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 5.148 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.148 * [taylor]: Taking taylor expansion of 2.0 in re 5.148 * [backup-simplify]: Simplify 2.0 into 2.0 5.148 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 5.149 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.149 * [taylor]: Taking taylor expansion of re in re 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.149 * [backup-simplify]: Simplify (/ 1 1) into 1 5.149 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.149 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.149 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.149 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.149 * [taylor]: Taking taylor expansion of re in re 5.149 * [backup-simplify]: Simplify 0 into 0 5.149 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (/ 1 1) into 1 5.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.150 * [taylor]: Taking taylor expansion of re in re 5.150 * [backup-simplify]: Simplify 0 into 0 5.150 * [backup-simplify]: Simplify 1 into 1 5.150 * [backup-simplify]: Simplify (/ 1 1) into 1 5.150 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.150 * [taylor]: Taking taylor expansion of im in re 5.150 * [backup-simplify]: Simplify im into im 5.150 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.150 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.150 * [taylor]: Taking taylor expansion of im in re 5.150 * [backup-simplify]: Simplify im into im 5.150 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.150 * [backup-simplify]: Simplify (* 1 1) into 1 5.151 * [backup-simplify]: Simplify (+ 1 0) into 1 5.151 * [backup-simplify]: Simplify (sqrt 1) into 1 5.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.152 * [backup-simplify]: Simplify (+ 0 0) into 0 5.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.153 * [backup-simplify]: Simplify (+ 1 1) into 2 5.153 * [backup-simplify]: Simplify (sqrt 0) into 0 5.154 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 5.154 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 5.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.154 * [taylor]: Taking taylor expansion of 2.0 in re 5.154 * [backup-simplify]: Simplify 2.0 into 2.0 5.154 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 5.155 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 5.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.155 * [backup-simplify]: Simplify (/ 1 1) into 1 5.155 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.155 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.155 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.155 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.155 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.155 * [taylor]: Taking taylor expansion of re in re 5.155 * [backup-simplify]: Simplify 0 into 0 5.155 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.156 * [taylor]: Taking taylor expansion of re in re 5.156 * [backup-simplify]: Simplify 0 into 0 5.156 * [backup-simplify]: Simplify 1 into 1 5.156 * [backup-simplify]: Simplify (/ 1 1) into 1 5.156 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.156 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.156 * [taylor]: Taking taylor expansion of im in re 5.156 * [backup-simplify]: Simplify im into im 5.156 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.156 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.156 * [taylor]: Taking taylor expansion of im in re 5.156 * [backup-simplify]: Simplify im into im 5.156 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.156 * [backup-simplify]: Simplify (* 1 1) into 1 5.157 * [backup-simplify]: Simplify (+ 1 0) into 1 5.157 * [backup-simplify]: Simplify (sqrt 1) into 1 5.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.158 * [backup-simplify]: Simplify (+ 0 0) into 0 5.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.159 * [backup-simplify]: Simplify (+ 1 1) into 2 5.159 * [backup-simplify]: Simplify (sqrt 0) into 0 5.160 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 5.160 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.160 * [taylor]: Taking taylor expansion of 0 in im 5.160 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 5.162 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.162 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.162 * [taylor]: Taking taylor expansion of +nan.0 in im 5.162 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.162 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.162 * [taylor]: Taking taylor expansion of 2.0 in im 5.162 * [backup-simplify]: Simplify 2.0 into 2.0 5.162 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.162 * [backup-simplify]: Simplify 0 into 0 5.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.163 * [backup-simplify]: Simplify (+ 0 0) into 0 5.165 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.165 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.167 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 5.167 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 5.167 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.167 * [taylor]: Taking taylor expansion of +nan.0 in im 5.167 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.167 * [taylor]: Taking taylor expansion of 2.0 in im 5.167 * [backup-simplify]: Simplify 2.0 into 2.0 5.167 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.168 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.169 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.170 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.170 * [backup-simplify]: Simplify 0 into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.172 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.173 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.173 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.173 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 5.175 * [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)) 5.175 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.176 * [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)))))) 5.176 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 5.176 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 5.176 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.176 * [taylor]: Taking taylor expansion of +nan.0 in im 5.176 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.176 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.176 * [taylor]: Taking taylor expansion of 2.0 in im 5.176 * [backup-simplify]: Simplify 2.0 into 2.0 5.176 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.177 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.177 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.177 * [taylor]: Taking taylor expansion of +nan.0 in im 5.177 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.177 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.177 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.177 * [taylor]: Taking taylor expansion of 2.0 in im 5.177 * [backup-simplify]: Simplify 2.0 into 2.0 5.177 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.178 * [taylor]: Taking taylor expansion of im in im 5.178 * [backup-simplify]: Simplify 0 into 0 5.178 * [backup-simplify]: Simplify 1 into 1 5.178 * [backup-simplify]: Simplify (* 1 1) into 1 5.179 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.180 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.180 * [backup-simplify]: Simplify (- 0) into 0 5.180 * [backup-simplify]: Simplify (+ 0 0) into 0 5.181 * [backup-simplify]: Simplify (- 0) into 0 5.181 * [backup-simplify]: Simplify 0 into 0 5.181 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.182 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.183 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.184 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.184 * [backup-simplify]: Simplify (- 0) into 0 5.184 * [backup-simplify]: Simplify 0 into 0 5.184 * [backup-simplify]: Simplify 0 into 0 5.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.186 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.186 * [backup-simplify]: Simplify (+ 0 0) into 0 5.187 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.187 * [backup-simplify]: Simplify (+ 0 0) into 0 5.188 * [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))) 5.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.190 * [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)))))) 5.190 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 5.190 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 5.190 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 5.190 * [taylor]: Taking taylor expansion of +nan.0 in im 5.190 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.190 * [taylor]: Taking taylor expansion of 2.0 in im 5.190 * [backup-simplify]: Simplify 2.0 into 2.0 5.190 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.190 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.190 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.190 * [taylor]: Taking taylor expansion of +nan.0 in im 5.190 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.190 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.191 * [taylor]: Taking taylor expansion of 2.0 in im 5.191 * [backup-simplify]: Simplify 2.0 into 2.0 5.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.191 * [taylor]: Taking taylor expansion of im in im 5.191 * [backup-simplify]: Simplify 0 into 0 5.191 * [backup-simplify]: Simplify 1 into 1 5.191 * [backup-simplify]: Simplify (* 1 1) into 1 5.192 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.193 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.194 * [backup-simplify]: Simplify (- 0) into 0 5.194 * [backup-simplify]: Simplify (+ 0 0) into 0 5.194 * [backup-simplify]: Simplify (- 0) into 0 5.194 * [backup-simplify]: Simplify 0 into 0 5.195 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 5.196 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.199 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.199 * [backup-simplify]: Simplify (- 0) into 0 5.201 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 5.203 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 5.204 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 5.209 * [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)))))))) 5.209 * [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)))) 5.209 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 5.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 5.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.209 * [taylor]: Taking taylor expansion of 2.0 in im 5.209 * [backup-simplify]: Simplify 2.0 into 2.0 5.210 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.210 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 5.211 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 5.211 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.211 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.211 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.211 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.211 * [taylor]: Taking taylor expansion of -1 in im 5.211 * [backup-simplify]: Simplify -1 into -1 5.211 * [taylor]: Taking taylor expansion of re in im 5.211 * [backup-simplify]: Simplify re into re 5.211 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.211 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.211 * [taylor]: Taking taylor expansion of -1 in im 5.211 * [backup-simplify]: Simplify -1 into -1 5.211 * [taylor]: Taking taylor expansion of re in im 5.211 * [backup-simplify]: Simplify re into re 5.211 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.211 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.211 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.211 * [taylor]: Taking taylor expansion of -1 in im 5.211 * [backup-simplify]: Simplify -1 into -1 5.211 * [taylor]: Taking taylor expansion of im in im 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.211 * [backup-simplify]: Simplify (/ -1 1) into -1 5.211 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.211 * [taylor]: Taking taylor expansion of -1 in im 5.211 * [backup-simplify]: Simplify -1 into -1 5.211 * [taylor]: Taking taylor expansion of im in im 5.211 * [backup-simplify]: Simplify 0 into 0 5.211 * [backup-simplify]: Simplify 1 into 1 5.212 * [backup-simplify]: Simplify (/ -1 1) into -1 5.212 * [backup-simplify]: Simplify (* -1 -1) into 1 5.212 * [backup-simplify]: Simplify (+ 0 1) into 1 5.212 * [backup-simplify]: Simplify (sqrt 1) into 1 5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.214 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.214 * [backup-simplify]: Simplify (+ 0 0) into 0 5.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.214 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.214 * [taylor]: Taking taylor expansion of re in im 5.214 * [backup-simplify]: Simplify re into re 5.214 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.215 * [backup-simplify]: Simplify (+ 1 0) into 1 5.215 * [backup-simplify]: Simplify (sqrt 0) into 0 5.216 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.216 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.216 * [taylor]: Taking taylor expansion of 2.0 in re 5.216 * [backup-simplify]: Simplify 2.0 into 2.0 5.216 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.217 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.217 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.217 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.217 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.217 * [taylor]: Taking taylor expansion of -1 in re 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of re in re 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.217 * [backup-simplify]: Simplify (/ -1 1) into -1 5.217 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.217 * [taylor]: Taking taylor expansion of -1 in re 5.217 * [backup-simplify]: Simplify -1 into -1 5.217 * [taylor]: Taking taylor expansion of re in re 5.217 * [backup-simplify]: Simplify 0 into 0 5.217 * [backup-simplify]: Simplify 1 into 1 5.218 * [backup-simplify]: Simplify (/ -1 1) into -1 5.218 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.218 * [taylor]: Taking taylor expansion of -1 in re 5.218 * [backup-simplify]: Simplify -1 into -1 5.218 * [taylor]: Taking taylor expansion of im in re 5.218 * [backup-simplify]: Simplify im into im 5.218 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.218 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.218 * [taylor]: Taking taylor expansion of -1 in re 5.218 * [backup-simplify]: Simplify -1 into -1 5.218 * [taylor]: Taking taylor expansion of im in re 5.218 * [backup-simplify]: Simplify im into im 5.218 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.218 * [backup-simplify]: Simplify (* -1 -1) into 1 5.218 * [backup-simplify]: Simplify (+ 1 0) into 1 5.219 * [backup-simplify]: Simplify (sqrt 1) into 1 5.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.220 * [backup-simplify]: Simplify (+ 0 0) into 0 5.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.221 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.221 * [taylor]: Taking taylor expansion of re in re 5.221 * [backup-simplify]: Simplify 0 into 0 5.221 * [backup-simplify]: Simplify 1 into 1 5.221 * [backup-simplify]: Simplify (/ 1 1) into 1 5.221 * [backup-simplify]: Simplify (- 1) into -1 5.221 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.222 * [backup-simplify]: Simplify (- 0) into 0 5.223 * [backup-simplify]: Simplify (+ 0 0) into 0 5.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.224 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.225 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.226 * [backup-simplify]: Simplify (- 0) into 0 5.226 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.226 * [backup-simplify]: Simplify (sqrt 0) into 0 5.227 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 5.227 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 5.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 5.227 * [taylor]: Taking taylor expansion of 2.0 in re 5.227 * [backup-simplify]: Simplify 2.0 into 2.0 5.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.227 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 5.227 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 5.227 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.227 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.227 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.228 * [taylor]: Taking taylor expansion of -1 in re 5.228 * [backup-simplify]: Simplify -1 into -1 5.228 * [taylor]: Taking taylor expansion of re in re 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (/ -1 1) into -1 5.228 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.228 * [taylor]: Taking taylor expansion of -1 in re 5.228 * [backup-simplify]: Simplify -1 into -1 5.228 * [taylor]: Taking taylor expansion of re in re 5.228 * [backup-simplify]: Simplify 0 into 0 5.228 * [backup-simplify]: Simplify 1 into 1 5.228 * [backup-simplify]: Simplify (/ -1 1) into -1 5.228 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.228 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.228 * [taylor]: Taking taylor expansion of -1 in re 5.228 * [backup-simplify]: Simplify -1 into -1 5.228 * [taylor]: Taking taylor expansion of im in re 5.228 * [backup-simplify]: Simplify im into im 5.228 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.228 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.228 * [taylor]: Taking taylor expansion of -1 in re 5.228 * [backup-simplify]: Simplify -1 into -1 5.228 * [taylor]: Taking taylor expansion of im in re 5.228 * [backup-simplify]: Simplify im into im 5.228 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.229 * [backup-simplify]: Simplify (* -1 -1) into 1 5.229 * [backup-simplify]: Simplify (+ 1 0) into 1 5.229 * [backup-simplify]: Simplify (sqrt 1) into 1 5.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.230 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.231 * [backup-simplify]: Simplify (+ 0 0) into 0 5.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.231 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.231 * [taylor]: Taking taylor expansion of re in re 5.231 * [backup-simplify]: Simplify 0 into 0 5.231 * [backup-simplify]: Simplify 1 into 1 5.231 * [backup-simplify]: Simplify (/ 1 1) into 1 5.232 * [backup-simplify]: Simplify (- 1) into -1 5.232 * [backup-simplify]: Simplify (+ 1 -1) into 0 5.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.233 * [backup-simplify]: Simplify (- 0) into 0 5.233 * [backup-simplify]: Simplify (+ 0 0) into 0 5.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.235 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.235 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (- 0) into 0 5.236 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 5.236 * [backup-simplify]: Simplify (sqrt 0) into 0 5.237 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 5.243 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 5.243 * [taylor]: Taking taylor expansion of 0 in im 5.243 * [backup-simplify]: Simplify 0 into 0 5.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 5.244 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 5.244 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 5.244 * [taylor]: Taking taylor expansion of +nan.0 in im 5.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.244 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 5.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.244 * [taylor]: Taking taylor expansion of 2.0 in im 5.244 * [backup-simplify]: Simplify 2.0 into 2.0 5.245 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.246 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.246 * [taylor]: Taking taylor expansion of im in im 5.246 * [backup-simplify]: Simplify 0 into 0 5.246 * [backup-simplify]: Simplify 1 into 1 5.246 * [backup-simplify]: Simplify (* 1 1) into 1 5.247 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.250 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 5.250 * [backup-simplify]: Simplify (- 0) into 0 5.250 * [backup-simplify]: Simplify 0 into 0 5.250 * [backup-simplify]: Simplify 0 into 0 5.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.254 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.254 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.254 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.254 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.254 * [backup-simplify]: Simplify (+ 0 0) into 0 5.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.256 * [backup-simplify]: Simplify (- 0) into 0 5.257 * [backup-simplify]: Simplify (+ 0 0) into 0 5.257 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 5.259 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.260 * [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)))) 5.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 5.260 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.260 * [taylor]: Taking taylor expansion of +nan.0 in im 5.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.260 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.260 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.260 * [taylor]: Taking taylor expansion of 2.0 in im 5.260 * [backup-simplify]: Simplify 2.0 into 2.0 5.260 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.261 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.261 * [taylor]: Taking taylor expansion of im in im 5.261 * [backup-simplify]: Simplify 0 into 0 5.261 * [backup-simplify]: Simplify 1 into 1 5.261 * [backup-simplify]: Simplify (* 1 1) into 1 5.262 * [backup-simplify]: Simplify (* 1 1) into 1 5.263 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.264 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.275 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 5.276 * [backup-simplify]: Simplify (- 0) into 0 5.276 * [backup-simplify]: Simplify 0 into 0 5.277 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.280 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 5.280 * [backup-simplify]: Simplify (- 0) into 0 5.280 * [backup-simplify]: Simplify 0 into 0 5.280 * [backup-simplify]: Simplify 0 into 0 5.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 5.284 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 5.284 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 5.285 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 5.285 * [backup-simplify]: Simplify (+ 0 0) into 0 5.286 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 5.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.287 * [backup-simplify]: Simplify (- 0) into 0 5.288 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 5.288 * [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))))) 5.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.291 * [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)))))) 5.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 5.291 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 5.291 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 5.291 * [taylor]: Taking taylor expansion of +nan.0 in im 5.291 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.291 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 5.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.291 * [taylor]: Taking taylor expansion of 2.0 in im 5.291 * [backup-simplify]: Simplify 2.0 into 2.0 5.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.292 * [taylor]: Taking taylor expansion of (pow im 4) in im 5.292 * [taylor]: Taking taylor expansion of im in im 5.292 * [backup-simplify]: Simplify 0 into 0 5.293 * [backup-simplify]: Simplify 1 into 1 5.293 * [backup-simplify]: Simplify (* 1 1) into 1 5.293 * [backup-simplify]: Simplify (* 1 1) into 1 5.294 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 5.294 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 5.294 * [taylor]: Taking taylor expansion of +nan.0 in im 5.294 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.294 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 5.294 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 5.294 * [taylor]: Taking taylor expansion of 2.0 in im 5.294 * [backup-simplify]: Simplify 2.0 into 2.0 5.295 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 5.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 5.296 * [taylor]: Taking taylor expansion of (pow im 6) in im 5.296 * [taylor]: Taking taylor expansion of im in im 5.296 * [backup-simplify]: Simplify 0 into 0 5.296 * [backup-simplify]: Simplify 1 into 1 5.296 * [backup-simplify]: Simplify (* 1 1) into 1 5.296 * [backup-simplify]: Simplify (* 1 1) into 1 5.297 * [backup-simplify]: Simplify (* 1 1) into 1 5.298 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 5.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.310 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 5.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 5.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.314 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 5.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 5.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 5.340 * [backup-simplify]: Simplify (- 0) into 0 5.340 * [backup-simplify]: Simplify (+ 0 0) into 0 5.341 * [backup-simplify]: Simplify (- 0) into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * [backup-simplify]: Simplify 0 into 0 5.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 5.341 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 5.341 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 5.341 * [taylor]: Taking taylor expansion of (hypot re im) in im 5.341 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.341 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 5.341 * [taylor]: Taking taylor expansion of (* re re) in im 5.341 * [taylor]: Taking taylor expansion of re in im 5.341 * [backup-simplify]: Simplify re into re 5.341 * [taylor]: Taking taylor expansion of re in im 5.341 * [backup-simplify]: Simplify re into re 5.342 * [taylor]: Taking taylor expansion of (* im im) in im 5.342 * [taylor]: Taking taylor expansion of im in im 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [taylor]: Taking taylor expansion of im in im 5.342 * [backup-simplify]: Simplify 0 into 0 5.342 * [backup-simplify]: Simplify 1 into 1 5.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 5.342 * [backup-simplify]: Simplify (* 0 0) into 0 5.342 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 5.342 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 5.342 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 5.343 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.344 * [backup-simplify]: Simplify (+ 0 0) into 0 5.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 5.344 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.344 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.344 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.344 * [taylor]: Taking taylor expansion of (* re re) in re 5.344 * [taylor]: Taking taylor expansion of re in re 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [taylor]: Taking taylor expansion of re in re 5.344 * [backup-simplify]: Simplify 0 into 0 5.344 * [backup-simplify]: Simplify 1 into 1 5.344 * [taylor]: Taking taylor expansion of (* im im) in re 5.344 * [taylor]: Taking taylor expansion of im in re 5.344 * [backup-simplify]: Simplify im into im 5.344 * [taylor]: Taking taylor expansion of im in re 5.344 * [backup-simplify]: Simplify im into im 5.345 * [backup-simplify]: Simplify (* 0 0) into 0 5.345 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.345 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.345 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.346 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.346 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.346 * [backup-simplify]: Simplify (+ 0 0) into 0 5.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.346 * [taylor]: Taking taylor expansion of (hypot re im) in re 5.346 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 5.346 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 5.346 * [taylor]: Taking taylor expansion of (* re re) in re 5.346 * [taylor]: Taking taylor expansion of re in re 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [taylor]: Taking taylor expansion of re in re 5.346 * [backup-simplify]: Simplify 0 into 0 5.346 * [backup-simplify]: Simplify 1 into 1 5.346 * [taylor]: Taking taylor expansion of (* im im) in re 5.346 * [taylor]: Taking taylor expansion of im in re 5.346 * [backup-simplify]: Simplify im into im 5.346 * [taylor]: Taking taylor expansion of im in re 5.347 * [backup-simplify]: Simplify im into im 5.347 * [backup-simplify]: Simplify (* 0 0) into 0 5.347 * [backup-simplify]: Simplify (* im im) into (pow im 2) 5.347 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 5.347 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 5.348 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 5.348 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 5.348 * [backup-simplify]: Simplify (+ 0 0) into 0 5.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 5.348 * [taylor]: Taking taylor expansion of im in im 5.348 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [taylor]: Taking taylor expansion of 0 in im 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 0 into 0 5.349 * [backup-simplify]: Simplify 1 into 1 5.349 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 5.350 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 5.350 * [backup-simplify]: Simplify (+ 1 0) into 1 5.351 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 5.351 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 5.351 * [taylor]: Taking taylor expansion of 1/2 in im 5.351 * [backup-simplify]: Simplify 1/2 into 1/2 5.351 * [taylor]: Taking taylor expansion of im in im 5.351 * [backup-simplify]: Simplify 0 into 0 5.351 * [backup-simplify]: Simplify 1 into 1 5.352 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.353 * [backup-simplify]: Simplify 0 into 0 5.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 5.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 5.355 * [backup-simplify]: Simplify (+ 0 0) into 0 5.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 5.355 * [taylor]: Taking taylor expansion of 0 in im 5.355 * [backup-simplify]: Simplify 0 into 0 5.355 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify 0 into 0 5.356 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 5.356 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 5.356 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 5.356 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 5.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.357 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 5.357 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 5.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.357 * [taylor]: Taking taylor expansion of re in im 5.357 * [backup-simplify]: Simplify re into re 5.357 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.357 * [taylor]: Taking taylor expansion of (/ 1 re) in im 5.357 * [taylor]: Taking taylor expansion of re in im 5.357 * [backup-simplify]: Simplify re into re 5.357 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 5.357 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 5.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.357 * [taylor]: Taking taylor expansion of im in im 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify 1 into 1 5.357 * [backup-simplify]: Simplify (/ 1 1) into 1 5.357 * [taylor]: Taking taylor expansion of (/ 1 im) in im 5.357 * [taylor]: Taking taylor expansion of im in im 5.357 * [backup-simplify]: Simplify 0 into 0 5.357 * [backup-simplify]: Simplify 1 into 1 5.358 * [backup-simplify]: Simplify (/ 1 1) into 1 5.358 * [backup-simplify]: Simplify (* 1 1) into 1 5.359 * [backup-simplify]: Simplify (+ 0 1) into 1 5.359 * [backup-simplify]: Simplify (sqrt 1) into 1 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.361 * [backup-simplify]: Simplify (+ 0 0) into 0 5.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.362 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.362 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.362 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.362 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.362 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.362 * [taylor]: Taking taylor expansion of re in re 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify (/ 1 1) into 1 5.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.363 * [taylor]: Taking taylor expansion of re in re 5.363 * [backup-simplify]: Simplify 0 into 0 5.363 * [backup-simplify]: Simplify 1 into 1 5.363 * [backup-simplify]: Simplify (/ 1 1) into 1 5.363 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.363 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.363 * [taylor]: Taking taylor expansion of im in re 5.364 * [backup-simplify]: Simplify im into im 5.364 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.364 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.364 * [taylor]: Taking taylor expansion of im in re 5.364 * [backup-simplify]: Simplify im into im 5.364 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.364 * [backup-simplify]: Simplify (* 1 1) into 1 5.365 * [backup-simplify]: Simplify (+ 1 0) into 1 5.365 * [backup-simplify]: Simplify (sqrt 1) into 1 5.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.367 * [backup-simplify]: Simplify (+ 0 0) into 0 5.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.368 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 5.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 5.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 5.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 5.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.368 * [taylor]: Taking taylor expansion of re in re 5.368 * [backup-simplify]: Simplify 0 into 0 5.368 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (/ 1 1) into 1 5.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 5.369 * [taylor]: Taking taylor expansion of re in re 5.369 * [backup-simplify]: Simplify 0 into 0 5.369 * [backup-simplify]: Simplify 1 into 1 5.369 * [backup-simplify]: Simplify (/ 1 1) into 1 5.369 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 5.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.369 * [taylor]: Taking taylor expansion of im in re 5.369 * [backup-simplify]: Simplify im into im 5.369 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.369 * [taylor]: Taking taylor expansion of (/ 1 im) in re 5.369 * [taylor]: Taking taylor expansion of im in re 5.369 * [backup-simplify]: Simplify im into im 5.370 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 5.370 * [backup-simplify]: Simplify (* 1 1) into 1 5.370 * [backup-simplify]: Simplify (+ 1 0) into 1 5.371 * [backup-simplify]: Simplify (sqrt 1) into 1 5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.374 * [backup-simplify]: Simplify (+ 0 0) into 0 5.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.374 * [taylor]: Taking taylor expansion of 1 in im 5.374 * [backup-simplify]: Simplify 1 into 1 5.374 * [taylor]: Taking taylor expansion of 0 in im 5.374 * [backup-simplify]: Simplify 0 into 0 5.375 * [backup-simplify]: Simplify 1 into 1 5.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.377 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 5.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.379 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.379 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.379 * [taylor]: Taking taylor expansion of 1/2 in im 5.379 * [backup-simplify]: Simplify 1/2 into 1/2 5.379 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.379 * [taylor]: Taking taylor expansion of im in im 5.379 * [backup-simplify]: Simplify 0 into 0 5.379 * [backup-simplify]: Simplify 1 into 1 5.379 * [backup-simplify]: Simplify (* 1 1) into 1 5.380 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.381 * [backup-simplify]: Simplify 0 into 0 5.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 5.385 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 5.385 * [backup-simplify]: Simplify (+ 0 0) into 0 5.392 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.392 * [taylor]: Taking taylor expansion of 0 in im 5.392 * [backup-simplify]: Simplify 0 into 0 5.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify 0 into 0 5.395 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 5.395 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 5.395 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 5.395 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 5.395 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.395 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 5.395 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 5.395 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.395 * [taylor]: Taking taylor expansion of -1 in im 5.395 * [backup-simplify]: Simplify -1 into -1 5.396 * [taylor]: Taking taylor expansion of re in im 5.396 * [backup-simplify]: Simplify re into re 5.396 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.396 * [taylor]: Taking taylor expansion of (/ -1 re) in im 5.396 * [taylor]: Taking taylor expansion of -1 in im 5.396 * [backup-simplify]: Simplify -1 into -1 5.396 * [taylor]: Taking taylor expansion of re in im 5.396 * [backup-simplify]: Simplify re into re 5.396 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 5.396 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 5.396 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.396 * [taylor]: Taking taylor expansion of -1 in im 5.396 * [backup-simplify]: Simplify -1 into -1 5.396 * [taylor]: Taking taylor expansion of im in im 5.396 * [backup-simplify]: Simplify 0 into 0 5.396 * [backup-simplify]: Simplify 1 into 1 5.396 * [backup-simplify]: Simplify (/ -1 1) into -1 5.396 * [taylor]: Taking taylor expansion of (/ -1 im) in im 5.396 * [taylor]: Taking taylor expansion of -1 in im 5.396 * [backup-simplify]: Simplify -1 into -1 5.397 * [taylor]: Taking taylor expansion of im in im 5.397 * [backup-simplify]: Simplify 0 into 0 5.397 * [backup-simplify]: Simplify 1 into 1 5.397 * [backup-simplify]: Simplify (/ -1 1) into -1 5.397 * [backup-simplify]: Simplify (* -1 -1) into 1 5.398 * [backup-simplify]: Simplify (+ 0 1) into 1 5.398 * [backup-simplify]: Simplify (sqrt 1) into 1 5.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.401 * [backup-simplify]: Simplify (+ 0 0) into 0 5.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.401 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.402 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.402 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.402 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.402 * [taylor]: Taking taylor expansion of -1 in re 5.402 * [backup-simplify]: Simplify -1 into -1 5.402 * [taylor]: Taking taylor expansion of re in re 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [backup-simplify]: Simplify (/ -1 1) into -1 5.402 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.402 * [taylor]: Taking taylor expansion of -1 in re 5.402 * [backup-simplify]: Simplify -1 into -1 5.402 * [taylor]: Taking taylor expansion of re in re 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (/ -1 1) into -1 5.403 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.403 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.403 * [taylor]: Taking taylor expansion of -1 in re 5.403 * [backup-simplify]: Simplify -1 into -1 5.403 * [taylor]: Taking taylor expansion of im in re 5.403 * [backup-simplify]: Simplify im into im 5.403 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.403 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.403 * [taylor]: Taking taylor expansion of -1 in re 5.403 * [backup-simplify]: Simplify -1 into -1 5.403 * [taylor]: Taking taylor expansion of im in re 5.403 * [backup-simplify]: Simplify im into im 5.403 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.404 * [backup-simplify]: Simplify (* -1 -1) into 1 5.404 * [backup-simplify]: Simplify (+ 1 0) into 1 5.404 * [backup-simplify]: Simplify (sqrt 1) into 1 5.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.407 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.407 * [backup-simplify]: Simplify (+ 0 0) into 0 5.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.408 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 5.408 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 5.408 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 5.408 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 5.408 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.408 * [taylor]: Taking taylor expansion of -1 in re 5.408 * [backup-simplify]: Simplify -1 into -1 5.408 * [taylor]: Taking taylor expansion of re in re 5.408 * [backup-simplify]: Simplify 0 into 0 5.408 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (/ -1 1) into -1 5.409 * [taylor]: Taking taylor expansion of (/ -1 re) in re 5.409 * [taylor]: Taking taylor expansion of -1 in re 5.409 * [backup-simplify]: Simplify -1 into -1 5.409 * [taylor]: Taking taylor expansion of re in re 5.409 * [backup-simplify]: Simplify 0 into 0 5.409 * [backup-simplify]: Simplify 1 into 1 5.409 * [backup-simplify]: Simplify (/ -1 1) into -1 5.409 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 5.409 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.409 * [taylor]: Taking taylor expansion of -1 in re 5.409 * [backup-simplify]: Simplify -1 into -1 5.409 * [taylor]: Taking taylor expansion of im in re 5.409 * [backup-simplify]: Simplify im into im 5.409 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.409 * [taylor]: Taking taylor expansion of (/ -1 im) in re 5.409 * [taylor]: Taking taylor expansion of -1 in re 5.409 * [backup-simplify]: Simplify -1 into -1 5.409 * [taylor]: Taking taylor expansion of im in re 5.409 * [backup-simplify]: Simplify im into im 5.410 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 5.410 * [backup-simplify]: Simplify (* -1 -1) into 1 5.410 * [backup-simplify]: Simplify (+ 1 0) into 1 5.411 * [backup-simplify]: Simplify (sqrt 1) into 1 5.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.413 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 5.413 * [backup-simplify]: Simplify (+ 0 0) into 0 5.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 5.414 * [taylor]: Taking taylor expansion of 1 in im 5.414 * [backup-simplify]: Simplify 1 into 1 5.414 * [taylor]: Taking taylor expansion of 0 in im 5.414 * [backup-simplify]: Simplify 0 into 0 5.414 * [backup-simplify]: Simplify 1 into 1 5.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 5.418 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 5.418 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 5.419 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 5.419 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 5.419 * [taylor]: Taking taylor expansion of 1/2 in im 5.419 * [backup-simplify]: Simplify 1/2 into 1/2 5.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 5.419 * [taylor]: Taking taylor expansion of im in im 5.419 * [backup-simplify]: Simplify 0 into 0 5.419 * [backup-simplify]: Simplify 1 into 1 5.420 * [backup-simplify]: Simplify (* 1 1) into 1 5.420 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 5.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 0 into 0 5.422 * [backup-simplify]: Simplify 0 into 0 5.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 5.425 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.425 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 5.425 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 5.426 * [backup-simplify]: Simplify (+ 0 0) into 0 5.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 5.426 * [taylor]: Taking taylor expansion of 0 in im 5.426 * [backup-simplify]: Simplify 0 into 0 5.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 0 into 0 5.429 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 5.429 * * * [progress]: simplifying candidates 5.429 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 5.429 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 5.429 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 5.429 * [simplify]: Simplifying (sqrt (hypot re im)) 5.429 * * [simplify]: iters left: 2 (4 enodes) 5.431 * * [simplify]: iters left: 1 (12 enodes) 5.434 * * [simplify]: Extracting #0: cost 1 inf + 0 5.434 * * [simplify]: Extracting #1: cost 3 inf + 0 5.434 * * [simplify]: Extracting #2: cost 6 inf + 0 5.434 * * [simplify]: Extracting #3: cost 4 inf + 2 5.434 * * [simplify]: Extracting #4: cost 0 inf + 310 5.435 * [simplify]: Simplified to (sqrt (hypot re im)) 5.435 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0)))) 5.435 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 5.435 * [simplify]: Simplifying (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) 5.435 * * [simplify]: iters left: 6 (8 enodes) 5.439 * * [simplify]: iters left: 5 (27 enodes) 5.446 * * [simplify]: iters left: 4 (39 enodes) 5.457 * * [simplify]: iters left: 3 (54 enodes) 5.473 * * [simplify]: iters left: 2 (88 enodes) 5.495 * * [simplify]: iters left: 1 (173 enodes) 5.552 * * [simplify]: Extracting #0: cost 1 inf + 0 5.552 * * [simplify]: Extracting #1: cost 26 inf + 0 5.553 * * [simplify]: Extracting #2: cost 84 inf + 0 5.553 * * [simplify]: Extracting #3: cost 113 inf + 3 5.554 * * [simplify]: Extracting #4: cost 109 inf + 596 5.555 * * [simplify]: Extracting #5: cost 101 inf + 1529 5.558 * * [simplify]: Extracting #6: cost 64 inf + 11965 5.568 * * [simplify]: Extracting #7: cost 16 inf + 45325 5.583 * * [simplify]: Extracting #8: cost 0 inf + 58639 5.598 * [simplify]: Simplified to (exp (+ re (hypot re im))) 5.598 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (log (exp (+ re (hypot re im)))) 2.0)))) 5.598 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 5.598 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 14 / 106 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> 5.599 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 16 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 5.599 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 5.600 * [simplify]: Simplifying (hypot re im) 5.600 * * [simplify]: iters left: 1 (3 enodes) 5.601 * * [simplify]: Extracting #0: cost 1 inf + 0 5.601 * * [simplify]: Extracting #1: cost 4 inf + 0 5.601 * * [simplify]: Extracting #2: cost 2 inf + 2 5.601 * * [simplify]: Extracting #3: cost 0 inf + 116 5.601 * [simplify]: Simplified to (hypot re im) 5.601 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ 1/2 1/2)) re) 2.0)))) 5.601 * [simplify]: Simplifying (+ 1/2 1/2) 5.601 * * [simplify]: iters left: 2 (2 enodes) 5.604 * * [simplify]: iters left: 1 (7 enodes) 5.606 * * [simplify]: Extracting #0: cost 1 inf + 0 5.606 * * [simplify]: Extracting #1: cost 0 inf + 1 5.606 * [simplify]: Simplified to 1 5.606 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 5.607 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 5.607 * [simplify]: Simplifying (hypot re im) 5.607 * * [simplify]: iters left: 1 (3 enodes) 5.608 * * [simplify]: Extracting #0: cost 1 inf + 0 5.608 * * [simplify]: Extracting #1: cost 4 inf + 0 5.608 * * [simplify]: Extracting #2: cost 2 inf + 2 5.608 * * [simplify]: Extracting #3: cost 0 inf + 116 5.608 * [simplify]: Simplified to (hypot re im) 5.608 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ 1/2 (/ 1 2))) re) 2.0)))) 5.609 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 5.609 * * [simplify]: iters left: 4 (5 enodes) 5.614 * * [simplify]: iters left: 3 (18 enodes) 5.621 * * [simplify]: iters left: 2 (20 enodes) 5.626 * * [simplify]: Extracting #0: cost 1 inf + 0 5.626 * * [simplify]: Extracting #1: cost 0 inf + 1 5.626 * [simplify]: Simplified to 1 5.626 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 5.626 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 5.627 * [simplify]: Simplifying (sqrt (hypot re im)) 5.627 * * [simplify]: iters left: 2 (4 enodes) 5.628 * * [simplify]: iters left: 1 (12 enodes) 5.631 * * [simplify]: Extracting #0: cost 1 inf + 0 5.631 * * [simplify]: Extracting #1: cost 3 inf + 0 5.631 * * [simplify]: Extracting #2: cost 6 inf + 0 5.631 * * [simplify]: Extracting #3: cost 4 inf + 2 5.632 * * [simplify]: Extracting #4: cost 0 inf + 310 5.632 * [simplify]: Simplified to (sqrt (hypot re im)) 5.632 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ 1 1)) re) 2.0)))) 5.632 * [simplify]: Simplifying (+ 1 1) 5.632 * * [simplify]: iters left: 2 (2 enodes) 5.635 * * [simplify]: iters left: 1 (9 enodes) 5.637 * * [simplify]: Extracting #0: cost 1 inf + 0 5.638 * * [simplify]: Extracting #1: cost 0 inf + 1 5.638 * [simplify]: Simplified to 2 5.638 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 5.638 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 5.638 * [simplify]: Simplifying (hypot re im) 5.638 * * [simplify]: iters left: 1 (3 enodes) 5.639 * * [simplify]: Extracting #0: cost 1 inf + 0 5.639 * * [simplify]: Extracting #1: cost 4 inf + 0 5.639 * * [simplify]: Extracting #2: cost 2 inf + 2 5.639 * * [simplify]: Extracting #3: cost 0 inf + 116 5.640 * [simplify]: Simplified to (hypot re im) 5.640 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ 1 2) 1/2)) re) 2.0)))) 5.640 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 5.640 * * [simplify]: iters left: 4 (5 enodes) 5.647 * * [simplify]: iters left: 3 (18 enodes) 5.652 * * [simplify]: iters left: 2 (20 enodes) 5.663 * * [simplify]: Extracting #0: cost 1 inf + 0 5.663 * * [simplify]: Extracting #1: cost 0 inf + 1 5.663 * [simplify]: Simplified to 1 5.663 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 5.663 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 5.663 * [simplify]: Simplifying (hypot re im) 5.663 * * [simplify]: iters left: 1 (3 enodes) 5.665 * * [simplify]: Extracting #0: cost 1 inf + 0 5.665 * * [simplify]: Extracting #1: cost 4 inf + 0 5.665 * * [simplify]: Extracting #2: cost 2 inf + 2 5.665 * * [simplify]: Extracting #3: cost 0 inf + 116 5.665 * [simplify]: Simplified to (hypot re im) 5.665 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ 1 2) (/ 1 2))) re) 2.0)))) 5.665 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 5.665 * * [simplify]: iters left: 4 (4 enodes) 5.669 * * [simplify]: iters left: 3 (15 enodes) 5.673 * * [simplify]: iters left: 2 (17 enodes) 5.675 * * [simplify]: Extracting #0: cost 1 inf + 0 5.675 * * [simplify]: Extracting #1: cost 0 inf + 1 5.675 * [simplify]: Simplified to 1 5.675 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 5.675 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 5.676 * [simplify]: Simplifying (* (hypot re im) (hypot re im)) 5.676 * * [simplify]: iters left: 3 (4 enodes) 5.676 * * [simplify]: iters left: 2 (12 enodes) 5.678 * * [simplify]: Extracting #0: cost 1 inf + 0 5.678 * * [simplify]: Extracting #1: cost 3 inf + 0 5.678 * * [simplify]: Extracting #2: cost 6 inf + 0 5.678 * * [simplify]: Extracting #3: cost 4 inf + 2 5.678 * * [simplify]: Extracting #4: cost 0 inf + 310 5.678 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 5.678 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (* (hypot re im) (hypot re im)) 1/2) re) 2.0)))) 5.678 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 5.679 * [simplify]: Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im))) 5.679 * * [simplify]: iters left: 4 (5 enodes) 5.680 * * [simplify]: iters left: 3 (13 enodes) 5.681 * * [simplify]: iters left: 2 (14 enodes) 5.683 * * [simplify]: Extracting #0: cost 1 inf + 0 5.683 * * [simplify]: Extracting #1: cost 5 inf + 0 5.683 * * [simplify]: Extracting #2: cost 4 inf + 2 5.683 * * [simplify]: Extracting #3: cost 3 inf + 59 5.683 * * [simplify]: Extracting #4: cost 0 inf + 310 5.683 * [simplify]: Simplified to (hypot re im) 5.683 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 5.683 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 5.683 * [simplify]: Simplifying (* (hypot re im) (hypot re im)) 5.684 * * [simplify]: iters left: 3 (4 enodes) 5.684 * * [simplify]: iters left: 2 (12 enodes) 5.686 * * [simplify]: Extracting #0: cost 1 inf + 0 5.686 * * [simplify]: Extracting #1: cost 3 inf + 0 5.686 * * [simplify]: Extracting #2: cost 6 inf + 0 5.686 * * [simplify]: Extracting #3: cost 4 inf + 2 5.686 * * [simplify]: Extracting #4: cost 0 inf + 310 5.686 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 5.686 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (* (hypot re im) (hypot re im)) (/ 1 2)) re) 2.0)))) 5.686 * [simplify]: Simplifying (/ 1 2) 5.686 * * [simplify]: iters left: 2 (3 enodes) 5.688 * * [simplify]: iters left: 1 (12 enodes) 5.690 * * [simplify]: Extracting #0: cost 1 inf + 0 5.690 * * [simplify]: Extracting #1: cost 0 inf + 1 5.690 * [simplify]: Simplified to 1/2 5.690 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (* (hypot re im) (hypot re im)) 1/2) re) 2.0)))) 5.690 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 5.690 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 5.691 * [simplify]: Simplifying (sqrt (hypot re im)) 5.691 * * [simplify]: iters left: 2 (4 enodes) 5.691 * * [simplify]: iters left: 1 (12 enodes) 5.693 * * [simplify]: Extracting #0: cost 1 inf + 0 5.693 * * [simplify]: Extracting #1: cost 3 inf + 0 5.693 * * [simplify]: Extracting #2: cost 6 inf + 0 5.693 * * [simplify]: Extracting #3: cost 4 inf + 2 5.693 * * [simplify]: Extracting #4: cost 0 inf + 310 5.693 * [simplify]: Simplified to (sqrt (hypot re im)) 5.693 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ 1 1)) re) 2.0)))) 5.693 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 5.693 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 5.693 * [simplify]: Simplifying (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) 5.693 * * [simplify]: iters left: 5 (6 enodes) 5.694 * * [simplify]: iters left: 4 (18 enodes) 5.697 * * [simplify]: Extracting #0: cost 1 inf + 0 5.697 * * [simplify]: Extracting #1: cost 3 inf + 0 5.697 * * [simplify]: Extracting #2: cost 5 inf + 0 5.697 * * [simplify]: Extracting #3: cost 7 inf + 0 5.697 * * [simplify]: Extracting #4: cost 10 inf + 0 5.697 * * [simplify]: Extracting #5: cost 8 inf + 2 5.697 * * [simplify]: Extracting #6: cost 0 inf + 1058 5.697 * [simplify]: Simplified to (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) 5.697 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (exp (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im))))) re) 2.0)))) 5.697 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 5.698 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 5.698 * * * * [progress]: [ 32 / 106 ] simplifiying candidate # 5.698 * [simplify]: Simplifying (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) 5.698 * * [simplify]: iters left: 6 (7 enodes) 5.699 * * [simplify]: iters left: 5 (26 enodes) 5.705 * * [simplify]: iters left: 4 (42 enodes) 5.718 * * [simplify]: iters left: 3 (57 enodes) 5.739 * * [simplify]: iters left: 2 (95 enodes) 5.781 * * [simplify]: iters left: 1 (183 enodes) 5.820 * * [simplify]: Extracting #0: cost 1 inf + 0 5.821 * * [simplify]: Extracting #1: cost 23 inf + 0 5.821 * * [simplify]: Extracting #2: cost 88 inf + 3 5.822 * * [simplify]: Extracting #3: cost 92 inf + 11 5.822 * * [simplify]: Extracting #4: cost 79 inf + 2540 5.825 * * [simplify]: Extracting #5: cost 40 inf + 14098 5.830 * * [simplify]: Extracting #6: cost 3 inf + 29153 5.835 * * [simplify]: Extracting #7: cost 0 inf + 30779 5.841 * [simplify]: Simplified to (* (hypot re im) (* (hypot re im) (hypot re im))) 5.841 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (cbrt (* (hypot re im) (* (hypot re im) (hypot re im)))) re) 2.0)))) 5.841 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 5.842 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 5.842 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 5.842 * [simplify]: Simplifying (* (hypot re im) (hypot re im)) 5.842 * * [simplify]: iters left: 3 (4 enodes) 5.844 * * [simplify]: iters left: 2 (12 enodes) 5.847 * * [simplify]: Extracting #0: cost 1 inf + 0 5.847 * * [simplify]: Extracting #1: cost 3 inf + 0 5.847 * * [simplify]: Extracting #2: cost 6 inf + 0 5.847 * * [simplify]: Extracting #3: cost 4 inf + 2 5.847 * * [simplify]: Extracting #4: cost 0 inf + 310 5.847 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 5.847 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (sqrt (* (hypot re im) (hypot re im))) re) 2.0)))) 5.847 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 5.848 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 5.848 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 5.848 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 5.848 * [simplify]: Simplifying (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 5.848 * * [simplify]: iters left: 6 (7 enodes) 5.851 * * [simplify]: iters left: 5 (25 enodes) 5.854 * * [simplify]: iters left: 4 (29 enodes) 5.859 * * [simplify]: iters left: 3 (40 enodes) 5.871 * * [simplify]: iters left: 2 (64 enodes) 5.884 * * [simplify]: iters left: 1 (112 enodes) 5.906 * * [simplify]: Extracting #0: cost 1 inf + 0 5.906 * * [simplify]: Extracting #1: cost 13 inf + 0 5.907 * * [simplify]: Extracting #2: cost 40 inf + 1 5.907 * * [simplify]: Extracting #3: cost 41 inf + 7 5.907 * * [simplify]: Extracting #4: cost 38 inf + 11 5.907 * * [simplify]: Extracting #5: cost 34 inf + 223 5.908 * * [simplify]: Extracting #6: cost 21 inf + 4714 5.911 * * [simplify]: Extracting #7: cost 1 inf + 14642 5.914 * * [simplify]: Extracting #8: cost 0 inf + 15492 5.917 * [simplify]: Simplified to (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) 5.917 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) re) 2.0)))) 5.918 * [simplify]: Simplifying (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 5.918 * * [simplify]: iters left: 5 (6 enodes) 5.920 * * [simplify]: iters left: 4 (18 enodes) 5.925 * * [simplify]: Extracting #0: cost 1 inf + 0 5.925 * * [simplify]: Extracting #1: cost 3 inf + 0 5.925 * * [simplify]: Extracting #2: cost 5 inf + 0 5.925 * * [simplify]: Extracting #3: cost 7 inf + 0 5.925 * * [simplify]: Extracting #4: cost 10 inf + 0 5.925 * * [simplify]: Extracting #5: cost 8 inf + 2 5.925 * * [simplify]: Extracting #6: cost 0 inf + 1098 5.925 * [simplify]: Simplified to (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 5.926 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (* (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))))) re) 2.0)))) 5.926 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 5.926 * [simplify]: Simplifying (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 5.926 * * [simplify]: iters left: 6 (7 enodes) 5.929 * * [simplify]: iters left: 5 (20 enodes) 5.934 * * [simplify]: iters left: 4 (21 enodes) 5.939 * * [simplify]: Extracting #0: cost 1 inf + 0 5.939 * * [simplify]: Extracting #1: cost 4 inf + 0 5.939 * * [simplify]: Extracting #2: cost 7 inf + 0 5.939 * * [simplify]: Extracting #3: cost 10 inf + 0 5.939 * * [simplify]: Extracting #4: cost 8 inf + 2 5.939 * * [simplify]: Extracting #5: cost 0 inf + 1098 5.939 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 5.939 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))))) re) 2.0)))) 5.939 * [simplify]: Simplifying (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) 5.939 * * [simplify]: iters left: 5 (6 enodes) 5.941 * * [simplify]: iters left: 4 (16 enodes) 5.943 * * [simplify]: iters left: 3 (17 enodes) 5.944 * * [simplify]: Extracting #0: cost 1 inf + 0 5.944 * * [simplify]: Extracting #1: cost 4 inf + 0 5.945 * * [simplify]: Extracting #2: cost 8 inf + 0 5.945 * * [simplify]: Extracting #3: cost 6 inf + 2 5.945 * * [simplify]: Extracting #4: cost 2 inf + 390 5.945 * * [simplify]: Extracting #5: cost 0 inf + 744 5.945 * [simplify]: Simplified to (cbrt (hypot re im)) 5.945 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) re) 2.0)))) 5.945 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 5.945 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 5.945 * * [simplify]: iters left: 5 (6 enodes) 5.946 * * [simplify]: iters left: 4 (16 enodes) 5.948 * * [simplify]: iters left: 3 (17 enodes) 5.950 * * [simplify]: Extracting #0: cost 1 inf + 0 5.950 * * [simplify]: Extracting #1: cost 4 inf + 0 5.950 * * [simplify]: Extracting #2: cost 8 inf + 0 5.950 * * [simplify]: Extracting #3: cost 6 inf + 2 5.951 * * [simplify]: Extracting #4: cost 2 inf + 310 5.951 * * [simplify]: Extracting #5: cost 0 inf + 584 5.951 * [simplify]: Simplified to (sqrt (hypot re im)) 5.951 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 5.951 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 5.951 * * [simplify]: iters left: 5 (6 enodes) 5.952 * * [simplify]: iters left: 4 (16 enodes) 5.954 * * [simplify]: iters left: 3 (17 enodes) 5.956 * * [simplify]: Extracting #0: cost 1 inf + 0 5.956 * * [simplify]: Extracting #1: cost 4 inf + 0 5.956 * * [simplify]: Extracting #2: cost 8 inf + 0 5.956 * * [simplify]: Extracting #3: cost 6 inf + 2 5.956 * * [simplify]: Extracting #4: cost 2 inf + 310 5.956 * * [simplify]: Extracting #5: cost 0 inf + 584 5.956 * [simplify]: Simplified to (sqrt (hypot re im)) 5.956 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 5.957 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 5.957 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 5.957 * * [simplify]: iters left: 5 (6 enodes) 5.958 * * [simplify]: iters left: 4 (16 enodes) 5.963 * * [simplify]: iters left: 3 (17 enodes) 5.965 * * [simplify]: Extracting #0: cost 1 inf + 0 5.965 * * [simplify]: Extracting #1: cost 4 inf + 0 5.965 * * [simplify]: Extracting #2: cost 8 inf + 0 5.965 * * [simplify]: Extracting #3: cost 6 inf + 2 5.965 * * [simplify]: Extracting #4: cost 2 inf + 310 5.965 * * [simplify]: Extracting #5: cost 0 inf + 584 5.965 * [simplify]: Simplified to (sqrt (hypot re im)) 5.965 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 5.965 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 5.965 * * [simplify]: iters left: 5 (6 enodes) 5.966 * * [simplify]: iters left: 4 (16 enodes) 5.968 * * [simplify]: iters left: 3 (17 enodes) 5.970 * * [simplify]: Extracting #0: cost 1 inf + 0 5.970 * * [simplify]: Extracting #1: cost 4 inf + 0 5.970 * * [simplify]: Extracting #2: cost 8 inf + 0 5.970 * * [simplify]: Extracting #3: cost 6 inf + 2 5.970 * * [simplify]: Extracting #4: cost 2 inf + 310 5.971 * * [simplify]: Extracting #5: cost 0 inf + 584 5.971 * [simplify]: Simplified to (sqrt (hypot re im)) 5.971 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 5.971 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 5.971 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 5.971 * * [simplify]: iters left: 3 (3 enodes) 5.973 * * [simplify]: iters left: 2 (9 enodes) 5.975 * * [simplify]: iters left: 1 (11 enodes) 5.978 * * [simplify]: Extracting #0: cost 1 inf + 0 5.978 * * [simplify]: Extracting #1: cost 0 inf + 1 5.978 * [simplify]: Simplified to 1 5.978 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) 2.0)))) 5.978 * [simplify]: Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im))) 5.978 * * [simplify]: iters left: 4 (5 enodes) 5.981 * * [simplify]: iters left: 3 (13 enodes) 5.984 * * [simplify]: iters left: 2 (14 enodes) 5.988 * * [simplify]: Extracting #0: cost 1 inf + 0 5.988 * * [simplify]: Extracting #1: cost 5 inf + 0 5.988 * * [simplify]: Extracting #2: cost 4 inf + 2 5.988 * * [simplify]: Extracting #3: cost 3 inf + 59 5.988 * * [simplify]: Extracting #4: cost 0 inf + 310 5.988 * [simplify]: Simplified to (hypot re im) 5.988 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (hypot re im)) re) 2.0)))) 5.988 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 5.989 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 5.989 * * [simplify]: iters left: 5 (6 enodes) 5.991 * * [simplify]: iters left: 4 (16 enodes) 5.995 * * [simplify]: iters left: 3 (17 enodes) 6.000 * * [simplify]: Extracting #0: cost 1 inf + 0 6.000 * * [simplify]: Extracting #1: cost 4 inf + 0 6.000 * * [simplify]: Extracting #2: cost 8 inf + 0 6.000 * * [simplify]: Extracting #3: cost 6 inf + 2 6.000 * * [simplify]: Extracting #4: cost 2 inf + 310 6.000 * * [simplify]: Extracting #5: cost 0 inf + 584 6.001 * [simplify]: Simplified to (sqrt (hypot re im)) 6.001 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 6.001 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.001 * * [simplify]: iters left: 5 (6 enodes) 6.003 * * [simplify]: iters left: 4 (16 enodes) 6.008 * * [simplify]: iters left: 3 (17 enodes) 6.012 * * [simplify]: Extracting #0: cost 1 inf + 0 6.012 * * [simplify]: Extracting #1: cost 4 inf + 0 6.012 * * [simplify]: Extracting #2: cost 8 inf + 0 6.012 * * [simplify]: Extracting #3: cost 6 inf + 2 6.012 * * [simplify]: Extracting #4: cost 2 inf + 310 6.012 * * [simplify]: Extracting #5: cost 0 inf + 584 6.012 * [simplify]: Simplified to (sqrt (hypot re im)) 6.013 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 6.013 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 6.013 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.013 * * [simplify]: iters left: 5 (6 enodes) 6.015 * * [simplify]: iters left: 4 (16 enodes) 6.020 * * [simplify]: iters left: 3 (17 enodes) 6.024 * * [simplify]: Extracting #0: cost 1 inf + 0 6.024 * * [simplify]: Extracting #1: cost 4 inf + 0 6.024 * * [simplify]: Extracting #2: cost 8 inf + 0 6.024 * * [simplify]: Extracting #3: cost 6 inf + 2 6.024 * * [simplify]: Extracting #4: cost 2 inf + 310 6.024 * * [simplify]: Extracting #5: cost 0 inf + 584 6.024 * [simplify]: Simplified to (sqrt (hypot re im)) 6.024 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 6.025 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.025 * * [simplify]: iters left: 5 (6 enodes) 6.027 * * [simplify]: iters left: 4 (16 enodes) 6.031 * * [simplify]: iters left: 3 (17 enodes) 6.036 * * [simplify]: Extracting #0: cost 1 inf + 0 6.036 * * [simplify]: Extracting #1: cost 4 inf + 0 6.036 * * [simplify]: Extracting #2: cost 8 inf + 0 6.036 * * [simplify]: Extracting #3: cost 6 inf + 2 6.036 * * [simplify]: Extracting #4: cost 2 inf + 310 6.036 * * [simplify]: Extracting #5: cost 0 inf + 584 6.036 * [simplify]: Simplified to (sqrt (hypot re im)) 6.036 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 6.037 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 6.037 * [simplify]: Simplifying (* 1 1) 6.037 * * [simplify]: iters left: 2 (2 enodes) 6.038 * * [simplify]: iters left: 1 (6 enodes) 6.040 * * [simplify]: Extracting #0: cost 1 inf + 0 6.041 * * [simplify]: Extracting #1: cost 0 inf + 1 6.041 * [simplify]: Simplified to 1 6.041 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) 2.0)))) 6.041 * [simplify]: Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im))) 6.041 * * [simplify]: iters left: 4 (5 enodes) 6.043 * * [simplify]: iters left: 3 (13 enodes) 6.046 * * [simplify]: iters left: 2 (14 enodes) 6.050 * * [simplify]: Extracting #0: cost 1 inf + 0 6.050 * * [simplify]: Extracting #1: cost 5 inf + 0 6.050 * * [simplify]: Extracting #2: cost 4 inf + 2 6.050 * * [simplify]: Extracting #3: cost 3 inf + 59 6.050 * * [simplify]: Extracting #4: cost 0 inf + 310 6.050 * [simplify]: Simplified to (hypot re im) 6.050 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (hypot re im)) re) 2.0)))) 6.051 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 6.051 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.051 * * [simplify]: iters left: 5 (6 enodes) 6.053 * * [simplify]: iters left: 4 (16 enodes) 6.057 * * [simplify]: iters left: 3 (17 enodes) 6.062 * * [simplify]: Extracting #0: cost 1 inf + 0 6.062 * * [simplify]: Extracting #1: cost 4 inf + 0 6.062 * * [simplify]: Extracting #2: cost 8 inf + 0 6.062 * * [simplify]: Extracting #3: cost 6 inf + 2 6.062 * * [simplify]: Extracting #4: cost 2 inf + 310 6.062 * * [simplify]: Extracting #5: cost 0 inf + 584 6.063 * [simplify]: Simplified to (sqrt (hypot re im)) 6.063 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 6.063 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.063 * * [simplify]: iters left: 5 (6 enodes) 6.066 * * [simplify]: iters left: 4 (16 enodes) 6.070 * * [simplify]: iters left: 3 (17 enodes) 6.075 * * [simplify]: Extracting #0: cost 1 inf + 0 6.075 * * [simplify]: Extracting #1: cost 4 inf + 0 6.075 * * [simplify]: Extracting #2: cost 8 inf + 0 6.075 * * [simplify]: Extracting #3: cost 6 inf + 2 6.075 * * [simplify]: Extracting #4: cost 2 inf + 310 6.075 * * [simplify]: Extracting #5: cost 0 inf + 584 6.075 * [simplify]: Simplified to (sqrt (hypot re im)) 6.075 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 6.076 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 6.076 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.076 * * [simplify]: iters left: 5 (6 enodes) 6.078 * * [simplify]: iters left: 4 (16 enodes) 6.083 * * [simplify]: iters left: 3 (17 enodes) 6.087 * * [simplify]: Extracting #0: cost 1 inf + 0 6.087 * * [simplify]: Extracting #1: cost 4 inf + 0 6.087 * * [simplify]: Extracting #2: cost 8 inf + 0 6.087 * * [simplify]: Extracting #3: cost 6 inf + 2 6.087 * * [simplify]: Extracting #4: cost 2 inf + 310 6.087 * * [simplify]: Extracting #5: cost 0 inf + 584 6.087 * [simplify]: Simplified to (sqrt (hypot re im)) 6.087 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 6.088 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.088 * * [simplify]: iters left: 5 (6 enodes) 6.090 * * [simplify]: iters left: 4 (16 enodes) 6.094 * * [simplify]: iters left: 3 (17 enodes) 6.099 * * [simplify]: Extracting #0: cost 1 inf + 0 6.099 * * [simplify]: Extracting #1: cost 4 inf + 0 6.099 * * [simplify]: Extracting #2: cost 8 inf + 0 6.099 * * [simplify]: Extracting #3: cost 6 inf + 2 6.099 * * [simplify]: Extracting #4: cost 2 inf + 310 6.100 * * [simplify]: Extracting #5: cost 0 inf + 584 6.100 * [simplify]: Simplified to (sqrt (hypot re im)) 6.100 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 6.100 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 6.100 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.100 * * [simplify]: iters left: 5 (6 enodes) 6.103 * * [simplify]: iters left: 4 (16 enodes) 6.110 * * [simplify]: iters left: 3 (17 enodes) 6.114 * * [simplify]: Extracting #0: cost 1 inf + 0 6.114 * * [simplify]: Extracting #1: cost 4 inf + 0 6.114 * * [simplify]: Extracting #2: cost 8 inf + 0 6.114 * * [simplify]: Extracting #3: cost 6 inf + 2 6.115 * * [simplify]: Extracting #4: cost 2 inf + 310 6.115 * * [simplify]: Extracting #5: cost 0 inf + 584 6.115 * [simplify]: Simplified to (sqrt (hypot re im)) 6.115 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 6.116 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.116 * * [simplify]: iters left: 5 (6 enodes) 6.118 * * [simplify]: iters left: 4 (16 enodes) 6.122 * * [simplify]: iters left: 3 (17 enodes) 6.127 * * [simplify]: Extracting #0: cost 1 inf + 0 6.127 * * [simplify]: Extracting #1: cost 4 inf + 0 6.127 * * [simplify]: Extracting #2: cost 8 inf + 0 6.127 * * [simplify]: Extracting #3: cost 6 inf + 2 6.127 * * [simplify]: Extracting #4: cost 2 inf + 310 6.127 * * [simplify]: Extracting #5: cost 0 inf + 584 6.127 * [simplify]: Simplified to (sqrt (hypot re im)) 6.127 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 6.127 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 6.127 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.127 * * [simplify]: iters left: 5 (6 enodes) 6.129 * * [simplify]: iters left: 4 (16 enodes) 6.131 * * [simplify]: iters left: 3 (17 enodes) 6.133 * * [simplify]: Extracting #0: cost 1 inf + 0 6.133 * * [simplify]: Extracting #1: cost 4 inf + 0 6.133 * * [simplify]: Extracting #2: cost 8 inf + 0 6.133 * * [simplify]: Extracting #3: cost 6 inf + 2 6.133 * * [simplify]: Extracting #4: cost 2 inf + 310 6.133 * * [simplify]: Extracting #5: cost 0 inf + 584 6.133 * [simplify]: Simplified to (sqrt (hypot re im)) 6.133 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 6.133 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 6.133 * * [simplify]: iters left: 5 (6 enodes) 6.135 * * [simplify]: iters left: 4 (16 enodes) 6.137 * * [simplify]: iters left: 3 (17 enodes) 6.139 * * [simplify]: Extracting #0: cost 1 inf + 0 6.139 * * [simplify]: Extracting #1: cost 4 inf + 0 6.139 * * [simplify]: Extracting #2: cost 8 inf + 0 6.139 * * [simplify]: Extracting #3: cost 6 inf + 2 6.139 * * [simplify]: Extracting #4: cost 2 inf + 310 6.139 * * [simplify]: Extracting #5: cost 0 inf + 584 6.139 * [simplify]: Simplified to (sqrt (hypot re im)) 6.139 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))) re) 2.0)))) 6.139 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 6.140 * [simplify]: Simplifying (hypot re im) 6.140 * * [simplify]: iters left: 1 (3 enodes) 6.140 * * [simplify]: Extracting #0: cost 1 inf + 0 6.140 * * [simplify]: Extracting #1: cost 4 inf + 0 6.140 * * [simplify]: Extracting #2: cost 2 inf + 2 6.140 * * [simplify]: Extracting #3: cost 0 inf + 116 6.140 * [simplify]: Simplified to (hypot re im) 6.140 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (* 2 1/2)) re) 2.0)))) 6.141 * [simplify]: Simplifying (* 2 1/2) 6.141 * * [simplify]: iters left: 2 (3 enodes) 6.143 * * [simplify]: iters left: 1 (11 enodes) 6.145 * * [simplify]: Extracting #0: cost 1 inf + 0 6.145 * * [simplify]: Extracting #1: cost 0 inf + 1 6.145 * [simplify]: Simplified to 1 6.145 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 6.145 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 6.145 * [simplify]: Simplifying (sqrt (hypot re im)) 6.145 * * [simplify]: iters left: 2 (4 enodes) 6.146 * * [simplify]: iters left: 1 (12 enodes) 6.147 * * [simplify]: Extracting #0: cost 1 inf + 0 6.147 * * [simplify]: Extracting #1: cost 3 inf + 0 6.147 * * [simplify]: Extracting #2: cost 6 inf + 0 6.147 * * [simplify]: Extracting #3: cost 4 inf + 2 6.147 * * [simplify]: Extracting #4: cost 0 inf + 310 6.147 * [simplify]: Simplified to (sqrt (hypot re im)) 6.148 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (* 2 1)) re) 2.0)))) 6.148 * [simplify]: Simplifying (* 2 1) 6.148 * * [simplify]: iters left: 2 (3 enodes) 6.149 * * [simplify]: iters left: 1 (9 enodes) 6.151 * * [simplify]: Extracting #0: cost 1 inf + 0 6.151 * * [simplify]: Extracting #1: cost 0 inf + 1 6.151 * [simplify]: Simplified to 2 6.151 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 6.151 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 6.151 * [simplify]: Simplifying (hypot re im) 6.151 * * [simplify]: iters left: 1 (3 enodes) 6.152 * * [simplify]: Extracting #0: cost 1 inf + 0 6.152 * * [simplify]: Extracting #1: cost 4 inf + 0 6.152 * * [simplify]: Extracting #2: cost 2 inf + 2 6.152 * * [simplify]: Extracting #3: cost 0 inf + 116 6.152 * [simplify]: Simplified to (hypot re im) 6.152 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (* 2 (/ 1 2))) re) 2.0)))) 6.152 * [simplify]: Simplifying (* 2 (/ 1 2)) 6.152 * * [simplify]: iters left: 4 (4 enodes) 6.154 * * [simplify]: iters left: 3 (13 enodes) 6.157 * * [simplify]: iters left: 2 (15 enodes) 6.159 * * [simplify]: Extracting #0: cost 1 inf + 0 6.159 * * [simplify]: Extracting #1: cost 0 inf + 1 6.159 * [simplify]: Simplified to 1 6.159 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 6.159 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 6.160 * [simplify]: Simplifying (cbrt (sqrt (hypot re im))) 6.160 * * [simplify]: iters left: 3 (5 enodes) 6.160 * * [simplify]: iters left: 2 (15 enodes) 6.162 * * [simplify]: Extracting #0: cost 1 inf + 0 6.162 * * [simplify]: Extracting #1: cost 3 inf + 0 6.162 * * [simplify]: Extracting #2: cost 5 inf + 0 6.162 * * [simplify]: Extracting #3: cost 8 inf + 0 6.162 * * [simplify]: Extracting #4: cost 6 inf + 2 6.162 * * [simplify]: Extracting #5: cost 0 inf + 664 6.163 * [simplify]: Simplified to (cbrt (sqrt (hypot re im))) 6.163 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im)))) re) 2.0)))) 6.163 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 6.163 * [simplify]: Simplifying (sqrt (cbrt (hypot re im))) 6.163 * * [simplify]: iters left: 3 (5 enodes) 6.164 * * [simplify]: iters left: 2 (15 enodes) 6.166 * * [simplify]: Extracting #0: cost 1 inf + 0 6.166 * * [simplify]: Extracting #1: cost 3 inf + 0 6.166 * * [simplify]: Extracting #2: cost 5 inf + 0 6.166 * * [simplify]: Extracting #3: cost 8 inf + 0 6.166 * * [simplify]: Extracting #4: cost 6 inf + 2 6.166 * * [simplify]: Extracting #5: cost 0 inf + 744 6.166 * [simplify]: Simplified to (sqrt (cbrt (hypot re im))) 6.166 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im)))) re) 2.0)))) 6.166 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 6.166 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 6.166 * * [simplify]: iters left: 3 (5 enodes) 6.167 * * [simplify]: iters left: 2 (15 enodes) 6.169 * * [simplify]: Extracting #0: cost 1 inf + 0 6.169 * * [simplify]: Extracting #1: cost 3 inf + 0 6.169 * * [simplify]: Extracting #2: cost 5 inf + 0 6.169 * * [simplify]: Extracting #3: cost 8 inf + 0 6.169 * * [simplify]: Extracting #4: cost 6 inf + 2 6.169 * * [simplify]: Extracting #5: cost 0 inf + 584 6.169 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 6.169 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) re) 2.0)))) 6.169 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 6.169 * [simplify]: Simplifying (sqrt (hypot re im)) 6.170 * * [simplify]: iters left: 2 (4 enodes) 6.170 * * [simplify]: iters left: 1 (12 enodes) 6.172 * * [simplify]: Extracting #0: cost 1 inf + 0 6.172 * * [simplify]: Extracting #1: cost 3 inf + 0 6.172 * * [simplify]: Extracting #2: cost 6 inf + 0 6.172 * * [simplify]: Extracting #3: cost 4 inf + 2 6.172 * * [simplify]: Extracting #4: cost 0 inf + 310 6.172 * [simplify]: Simplified to (sqrt (hypot re im)) 6.172 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (hypot re im)) (sqrt 1)) (sqrt (hypot re im))) re) 2.0)))) 6.172 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 6.172 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 6.172 * * [simplify]: iters left: 3 (5 enodes) 6.173 * * [simplify]: iters left: 2 (15 enodes) 6.175 * * [simplify]: Extracting #0: cost 1 inf + 0 6.175 * * [simplify]: Extracting #1: cost 3 inf + 0 6.175 * * [simplify]: Extracting #2: cost 5 inf + 0 6.175 * * [simplify]: Extracting #3: cost 8 inf + 0 6.175 * * [simplify]: Extracting #4: cost 6 inf + 2 6.175 * * [simplify]: Extracting #5: cost 0 inf + 584 6.175 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 6.175 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) re) 2.0)))) 6.175 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 6.176 * [simplify]: Simplifying (sqrt (hypot re im)) 6.176 * * [simplify]: iters left: 2 (4 enodes) 6.176 * * [simplify]: iters left: 1 (12 enodes) 6.178 * * [simplify]: Extracting #0: cost 1 inf + 0 6.178 * * [simplify]: Extracting #1: cost 3 inf + 0 6.178 * * [simplify]: Extracting #2: cost 6 inf + 0 6.178 * * [simplify]: Extracting #3: cost 4 inf + 2 6.178 * * [simplify]: Extracting #4: cost 0 inf + 310 6.178 * [simplify]: Simplified to (sqrt (hypot re im)) 6.178 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (sqrt (hypot re im)) 1) (sqrt (hypot re im))) re) 2.0)))) 6.178 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 6.178 * [simplify]: Simplifying (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 6.178 * * [simplify]: iters left: 5 (6 enodes) 6.181 * * [simplify]: iters left: 4 (18 enodes) 6.185 * * [simplify]: Extracting #0: cost 1 inf + 0 6.185 * * [simplify]: Extracting #1: cost 3 inf + 0 6.185 * * [simplify]: Extracting #2: cost 5 inf + 0 6.185 * * [simplify]: Extracting #3: cost 7 inf + 0 6.186 * * [simplify]: Extracting #4: cost 10 inf + 0 6.186 * * [simplify]: Extracting #5: cost 8 inf + 2 6.186 * * [simplify]: Extracting #6: cost 0 inf + 1098 6.186 * [simplify]: Simplified to (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 6.186 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0)))) 6.186 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 6.187 * [simplify]: Simplifying (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) 6.187 * * [simplify]: iters left: 5 (6 enodes) 6.189 * * [simplify]: iters left: 4 (19 enodes) 6.194 * * [simplify]: Extracting #0: cost 1 inf + 0 6.194 * * [simplify]: Extracting #1: cost 4 inf + 0 6.194 * * [simplify]: Extracting #2: cost 7 inf + 0 6.194 * * [simplify]: Extracting #3: cost 10 inf + 0 6.194 * * [simplify]: Extracting #4: cost 8 inf + 2 6.195 * * [simplify]: Extracting #5: cost 0 inf + 1098 6.195 * [simplify]: Simplified to (fabs (cbrt (hypot re im))) 6.195 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (fabs (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0)))) 6.195 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 6.195 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 6.195 * * [simplify]: iters left: 3 (5 enodes) 6.197 * * [simplify]: iters left: 2 (15 enodes) 6.201 * * [simplify]: Extracting #0: cost 1 inf + 0 6.201 * * [simplify]: Extracting #1: cost 3 inf + 0 6.201 * * [simplify]: Extracting #2: cost 5 inf + 0 6.201 * * [simplify]: Extracting #3: cost 8 inf + 0 6.201 * * [simplify]: Extracting #4: cost 6 inf + 2 6.201 * * [simplify]: Extracting #5: cost 0 inf + 584 6.201 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 6.202 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0)))) 6.202 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 6.202 * [simplify]: Simplifying (sqrt 1) 6.202 * * [simplify]: iters left: 1 (2 enodes) 6.205 * * [simplify]: Extracting #0: cost 1 inf + 0 6.205 * * [simplify]: Extracting #1: cost 0 inf + 1 6.205 * [simplify]: Simplified to 1 6.205 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) re) 2.0)))) 6.205 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 6.206 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 6.206 * * [simplify]: iters left: 3 (5 enodes) 6.208 * * [simplify]: iters left: 2 (15 enodes) 6.215 * * [simplify]: Extracting #0: cost 1 inf + 0 6.216 * * [simplify]: Extracting #1: cost 3 inf + 0 6.216 * * [simplify]: Extracting #2: cost 5 inf + 0 6.216 * * [simplify]: Extracting #3: cost 8 inf + 0 6.216 * * [simplify]: Extracting #4: cost 6 inf + 2 6.216 * * [simplify]: Extracting #5: cost 0 inf + 584 6.216 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 6.216 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) 2.0)))) 6.216 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 66 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re) 2.0))))> 6.217 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 6.217 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 6.218 * [simplify]: Simplifying (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) 6.218 * * [simplify]: iters left: 6 (7 enodes) 6.221 * * [simplify]: iters left: 5 (21 enodes) 6.224 * * [simplify]: iters left: 4 (22 enodes) 6.227 * * [simplify]: Extracting #0: cost 1 inf + 0 6.227 * * [simplify]: Extracting #1: cost 3 inf + 0 6.227 * * [simplify]: Extracting #2: cost 7 inf + 0 6.227 * * [simplify]: Extracting #3: cost 9 inf + 1 6.227 * * [simplify]: Extracting #4: cost 3 inf + 447 6.227 * * [simplify]: Extracting #5: cost 0 inf + 778 6.227 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 6.227 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 6.227 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 6.227 * [simplify]: Simplifying (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0)) 6.227 * * [simplify]: iters left: 6 (12 enodes) 6.231 * * [simplify]: iters left: 5 (51 enodes) 6.242 * * [simplify]: iters left: 4 (109 enodes) 6.280 * * [simplify]: iters left: 3 (231 enodes) 6.353 * * [simplify]: iters left: 2 (483 enodes) 6.577 * * [simplify]: Extracting #0: cost 1 inf + 0 6.577 * * [simplify]: Extracting #1: cost 3 inf + 0 6.577 * * [simplify]: Extracting #2: cost 10 inf + 0 6.577 * * [simplify]: Extracting #3: cost 78 inf + 1 6.578 * * [simplify]: Extracting #4: cost 206 inf + 4 6.579 * * [simplify]: Extracting #5: cost 185 inf + 5291 6.582 * * [simplify]: Extracting #6: cost 125 inf + 23228 6.589 * * [simplify]: Extracting #7: cost 26 inf + 66444 6.605 * * [simplify]: Extracting #8: cost 0 inf + 79901 6.614 * [simplify]: Simplified to (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) 6.614 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) (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))))))) 6.614 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 6.614 * [simplify]: Simplifying (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0)) 6.614 * * [simplify]: iters left: 6 (11 enodes) 6.617 * * [simplify]: iters left: 5 (42 enodes) 6.624 * * [simplify]: iters left: 4 (74 enodes) 6.647 * * [simplify]: iters left: 3 (158 enodes) 6.725 * * [simplify]: iters left: 2 (410 enodes) 6.905 * * [simplify]: Extracting #0: cost 1 inf + 0 6.905 * * [simplify]: Extracting #1: cost 3 inf + 0 6.905 * * [simplify]: Extracting #2: cost 71 inf + 0 6.906 * * [simplify]: Extracting #3: cost 184 inf + 2 6.907 * * [simplify]: Extracting #4: cost 167 inf + 4086 6.912 * * [simplify]: Extracting #5: cost 65 inf + 22282 6.921 * * [simplify]: Extracting #6: cost 5 inf + 37790 6.930 * * [simplify]: Extracting #7: cost 0 inf + 39734 6.939 * [simplify]: Simplified to (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 6.939 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))))) 6.939 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 6.940 * [simplify]: Simplifying (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0) 6.940 * * [simplify]: iters left: 6 (8 enodes) 6.942 * * [simplify]: iters left: 5 (25 enodes) 6.948 * * [simplify]: iters left: 4 (34 enodes) 6.963 * * [simplify]: iters left: 3 (50 enodes) 6.973 * * [simplify]: iters left: 2 (54 enodes) 6.978 * * [simplify]: Extracting #0: cost 1 inf + 0 6.978 * * [simplify]: Extracting #1: cost 8 inf + 0 6.978 * * [simplify]: Extracting #2: cost 13 inf + 2 6.978 * * [simplify]: Extracting #3: cost 13 inf + 45 6.978 * * [simplify]: Extracting #4: cost 4 inf + 825 6.979 * * [simplify]: Extracting #5: cost 0 inf + 1337 6.979 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 6.979 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 6.979 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 6.979 * [simplify]: Simplifying (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0) 6.980 * * [simplify]: iters left: 6 (8 enodes) 6.981 * * [simplify]: iters left: 5 (25 enodes) 6.985 * * [simplify]: iters left: 4 (34 enodes) 6.990 * * [simplify]: iters left: 3 (50 enodes) 6.996 * * [simplify]: iters left: 2 (54 enodes) 7.002 * * [simplify]: Extracting #0: cost 1 inf + 0 7.002 * * [simplify]: Extracting #1: cost 8 inf + 0 7.002 * * [simplify]: Extracting #2: cost 13 inf + 2 7.002 * * [simplify]: Extracting #3: cost 13 inf + 45 7.002 * * [simplify]: Extracting #4: cost 4 inf + 825 7.003 * * [simplify]: Extracting #5: cost 0 inf + 1337 7.003 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 7.003 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 7.003 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))))> 7.003 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 7.003 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 7.004 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 7.004 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 7.004 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (hypot re im))))) re) 2.0))))> 7.004 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 7.004 * [simplify]: Simplifying (+ re im) 7.004 * * [simplify]: iters left: 2 (3 enodes) 7.005 * * [simplify]: iters left: 1 (10 enodes) 7.006 * * [simplify]: Extracting #0: cost 1 inf + 0 7.006 * * [simplify]: Extracting #1: cost 4 inf + 0 7.006 * * [simplify]: Extracting #2: cost 2 inf + 2 7.006 * * [simplify]: Extracting #3: cost 0 inf + 86 7.006 * [simplify]: Simplified to (+ im re) 7.006 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 7.006 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 7.006 * [simplify]: Simplifying (* 2 re) 7.006 * * [simplify]: iters left: 2 (3 enodes) 7.007 * * [simplify]: iters left: 1 (10 enodes) 7.009 * * [simplify]: Extracting #0: cost 1 inf + 0 7.009 * * [simplify]: Extracting #1: cost 4 inf + 0 7.009 * * [simplify]: Extracting #2: cost 2 inf + 2 7.009 * * [simplify]: Extracting #3: cost 0 inf + 86 7.009 * [simplify]: Simplified to (* 2 re) 7.009 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 7.009 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 7.009 * [simplify]: Simplifying 0 7.009 * * [simplify]: iters left: 0 (1 enodes) 7.009 * * [simplify]: Extracting #0: cost 1 inf + 0 7.009 * * [simplify]: Extracting #1: cost 0 inf + 1 7.009 * [simplify]: Simplified to 0 7.010 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 7.010 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 7.010 * [simplify]: Simplifying im 7.010 * * [simplify]: iters left: 0 (1 enodes) 7.010 * * [simplify]: Extracting #0: cost 1 inf + 0 7.010 * * [simplify]: Extracting #1: cost 0 inf + 1 7.010 * [simplify]: Simplified to im 7.010 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 7.010 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 7.010 * [simplify]: Simplifying re 7.010 * * [simplify]: iters left: 0 (1 enodes) 7.010 * * [simplify]: Extracting #0: cost 1 inf + 0 7.010 * * [simplify]: Extracting #1: cost 0 inf + 1 7.011 * [simplify]: Simplified to re 7.011 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0)))) 7.011 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 7.011 * [simplify]: Simplifying (* -1 re) 7.011 * * [simplify]: iters left: 2 (3 enodes) 7.012 * * [simplify]: iters left: 1 (11 enodes) 7.013 * * [simplify]: Extracting #0: cost 1 inf + 0 7.013 * * [simplify]: Extracting #1: cost 4 inf + 0 7.013 * * [simplify]: Extracting #2: cost 0 inf + 84 7.013 * [simplify]: Simplified to (- re) 7.013 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (- re) re) 2.0)))) 7.013 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 7.014 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 7.014 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.014 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 7.014 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 7.014 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.014 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 7.014 * [simplify]: Simplifying 0 7.014 * * [simplify]: iters left: 0 (1 enodes) 7.015 * * [simplify]: Extracting #0: cost 1 inf + 0 7.015 * * [simplify]: Extracting #1: cost 0 inf + 1 7.015 * [simplify]: Simplified to 0 7.015 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 7.015 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 7.015 * [simplify]: Simplifying im 7.015 * * [simplify]: iters left: 0 (1 enodes) 7.015 * * [simplify]: Extracting #0: cost 1 inf + 0 7.015 * * [simplify]: Extracting #1: cost 0 inf + 1 7.015 * [simplify]: Simplified to im 7.015 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt im)) re) 2.0)))) 7.015 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 7.015 * [simplify]: Simplifying re 7.015 * * [simplify]: iters left: 0 (1 enodes) 7.016 * * [simplify]: Extracting #0: cost 1 inf + 0 7.016 * * [simplify]: Extracting #1: cost 0 inf + 1 7.016 * [simplify]: Simplified to re 7.016 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt re)) re) 2.0)))) 7.016 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 7.016 * [simplify]: Simplifying (* -1 re) 7.016 * * [simplify]: iters left: 2 (3 enodes) 7.017 * * [simplify]: iters left: 1 (11 enodes) 7.019 * * [simplify]: Extracting #0: cost 1 inf + 0 7.019 * * [simplify]: Extracting #1: cost 4 inf + 0 7.019 * * [simplify]: Extracting #2: cost 0 inf + 84 7.019 * [simplify]: Simplified to (- re) 7.019 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (- re))) re) 2.0)))) 7.019 * * * [progress]: adding candidates to table 8.072 * * [progress]: iteration 4 / 4 8.072 * * * [progress]: picking best candidate 8.134 * * * * [pick]: Picked # 8.134 * * * [progress]: localizing error 8.151 * * * [progress]: generating rewritten candidates 8.151 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.151 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.156 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 8.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 8.157 * * * [progress]: generating series expansions 8.157 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.157 * [backup-simplify]: Simplify (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) into (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 8.157 * [approximate]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in (re im) around 0 8.157 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 8.157 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 8.157 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 8.157 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.157 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.158 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.158 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.158 * [taylor]: Taking taylor expansion of (* re re) in im 8.158 * [taylor]: Taking taylor expansion of re in im 8.158 * [backup-simplify]: Simplify re into re 8.158 * [taylor]: Taking taylor expansion of re in im 8.158 * [backup-simplify]: Simplify re into re 8.158 * [taylor]: Taking taylor expansion of (* im im) in im 8.158 * [taylor]: Taking taylor expansion of im in im 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [taylor]: Taking taylor expansion of im in im 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.158 * [backup-simplify]: Simplify (* 0 0) into 0 8.159 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.159 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.159 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.159 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.160 * [backup-simplify]: Simplify (+ 0 0) into 0 8.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.160 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 8.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 8.160 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.160 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.160 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.160 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.160 * [taylor]: Taking taylor expansion of (* re re) in im 8.160 * [taylor]: Taking taylor expansion of re in im 8.160 * [backup-simplify]: Simplify re into re 8.160 * [taylor]: Taking taylor expansion of re in im 8.160 * [backup-simplify]: Simplify re into re 8.160 * [taylor]: Taking taylor expansion of (* im im) in im 8.160 * [taylor]: Taking taylor expansion of im in im 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [taylor]: Taking taylor expansion of im in im 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.161 * [backup-simplify]: Simplify (* 0 0) into 0 8.161 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.161 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.162 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.162 * [backup-simplify]: Simplify (+ 0 0) into 0 8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.162 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 8.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 8.163 * [taylor]: Taking taylor expansion of re in im 8.163 * [backup-simplify]: Simplify re into re 8.163 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 8.163 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 8.163 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 8.163 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.163 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.163 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.163 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.163 * [taylor]: Taking taylor expansion of (* re re) in re 8.163 * [taylor]: Taking taylor expansion of re in re 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [taylor]: Taking taylor expansion of re in re 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.163 * [taylor]: Taking taylor expansion of (* im im) in re 8.163 * [taylor]: Taking taylor expansion of im in re 8.163 * [backup-simplify]: Simplify im into im 8.163 * [taylor]: Taking taylor expansion of im in re 8.163 * [backup-simplify]: Simplify im into im 8.163 * [backup-simplify]: Simplify (* 0 0) into 0 8.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.164 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.164 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.165 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.165 * [backup-simplify]: Simplify (+ 0 0) into 0 8.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.165 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.165 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.165 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.165 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.165 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.165 * [taylor]: Taking taylor expansion of (* re re) in re 8.166 * [taylor]: Taking taylor expansion of re in re 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [taylor]: Taking taylor expansion of re in re 8.166 * [backup-simplify]: Simplify 0 into 0 8.166 * [backup-simplify]: Simplify 1 into 1 8.166 * [taylor]: Taking taylor expansion of (* im im) in re 8.166 * [taylor]: Taking taylor expansion of im in re 8.166 * [backup-simplify]: Simplify im into im 8.166 * [taylor]: Taking taylor expansion of im in re 8.166 * [backup-simplify]: Simplify im into im 8.166 * [backup-simplify]: Simplify (* 0 0) into 0 8.166 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.167 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.167 * [backup-simplify]: Simplify (+ 0 0) into 0 8.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.168 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.168 * [taylor]: Taking taylor expansion of re in re 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 8.168 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 8.168 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 8.168 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.168 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.168 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.168 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.168 * [taylor]: Taking taylor expansion of (* re re) in re 8.168 * [taylor]: Taking taylor expansion of re in re 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of re in re 8.168 * [backup-simplify]: Simplify 0 into 0 8.168 * [backup-simplify]: Simplify 1 into 1 8.168 * [taylor]: Taking taylor expansion of (* im im) in re 8.168 * [taylor]: Taking taylor expansion of im in re 8.168 * [backup-simplify]: Simplify im into im 8.168 * [taylor]: Taking taylor expansion of im in re 8.168 * [backup-simplify]: Simplify im into im 8.169 * [backup-simplify]: Simplify (* 0 0) into 0 8.169 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.169 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.169 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.170 * [backup-simplify]: Simplify (+ 0 0) into 0 8.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.170 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.170 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.170 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.170 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.170 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.170 * [taylor]: Taking taylor expansion of (* re re) in re 8.171 * [taylor]: Taking taylor expansion of re in re 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 1 into 1 8.171 * [taylor]: Taking taylor expansion of re in re 8.171 * [backup-simplify]: Simplify 0 into 0 8.171 * [backup-simplify]: Simplify 1 into 1 8.171 * [taylor]: Taking taylor expansion of (* im im) in re 8.171 * [taylor]: Taking taylor expansion of im in re 8.171 * [backup-simplify]: Simplify im into im 8.171 * [taylor]: Taking taylor expansion of im in re 8.171 * [backup-simplify]: Simplify im into im 8.171 * [backup-simplify]: Simplify (* 0 0) into 0 8.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.171 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.172 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.172 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.172 * [backup-simplify]: Simplify (+ 0 0) into 0 8.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.173 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.173 * [taylor]: Taking taylor expansion of re in re 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 8.173 * [backup-simplify]: Simplify (+ im 0) into im 8.173 * [taylor]: Taking taylor expansion of im in im 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 8.174 * [backup-simplify]: Simplify (+ 0 1) into 1 8.174 * [taylor]: Taking taylor expansion of 1 in im 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.175 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.175 * [backup-simplify]: Simplify (+ 1 0) into 1 8.176 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.177 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 8.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.185 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.185 * [backup-simplify]: Simplify (+ 1 0) into 1 8.185 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.186 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 8.186 * [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)) 8.186 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 8.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.186 * [taylor]: Taking taylor expansion of 1/2 in im 8.186 * [backup-simplify]: Simplify 1/2 into 1/2 8.186 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.186 * [taylor]: Taking taylor expansion of im in im 8.186 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify 0 into 0 8.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.189 * [backup-simplify]: Simplify (+ 0 0) into 0 8.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 8.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.190 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.191 * [backup-simplify]: Simplify (+ 0 0) into 0 8.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (sqrt (/ 1 (pow im 3)))))))) (* 2 (sqrt im))) into 0 8.191 * [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 8.191 * [backup-simplify]: Simplify (+ 0 0) into 0 8.191 * [taylor]: Taking taylor expansion of 0 in im 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.193 * [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)) 8.193 * [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 8.193 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 8.193 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 8.193 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 8.193 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.193 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.193 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.193 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.193 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.193 * [taylor]: Taking taylor expansion of re in im 8.193 * [backup-simplify]: Simplify re into re 8.193 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.193 * [taylor]: Taking taylor expansion of re in im 8.193 * [backup-simplify]: Simplify re into re 8.193 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.193 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.193 * [taylor]: Taking taylor expansion of im in im 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.194 * [backup-simplify]: Simplify (/ 1 1) into 1 8.194 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.194 * [taylor]: Taking taylor expansion of im in im 8.194 * [backup-simplify]: Simplify 0 into 0 8.194 * [backup-simplify]: Simplify 1 into 1 8.194 * [backup-simplify]: Simplify (/ 1 1) into 1 8.194 * [backup-simplify]: Simplify (* 1 1) into 1 8.194 * [backup-simplify]: Simplify (+ 0 1) into 1 8.195 * [backup-simplify]: Simplify (sqrt 1) into 1 8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.196 * [backup-simplify]: Simplify (+ 0 0) into 0 8.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.197 * [backup-simplify]: Simplify (sqrt 0) into 0 8.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.198 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.198 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.198 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.198 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.198 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.198 * [taylor]: Taking taylor expansion of re in im 8.198 * [backup-simplify]: Simplify re into re 8.198 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.198 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.198 * [taylor]: Taking taylor expansion of re in im 8.198 * [backup-simplify]: Simplify re into re 8.198 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.198 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.198 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.198 * [taylor]: Taking taylor expansion of im in im 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.198 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.198 * [taylor]: Taking taylor expansion of im in im 8.198 * [backup-simplify]: Simplify 0 into 0 8.198 * [backup-simplify]: Simplify 1 into 1 8.198 * [backup-simplify]: Simplify (/ 1 1) into 1 8.199 * [backup-simplify]: Simplify (* 1 1) into 1 8.199 * [backup-simplify]: Simplify (+ 0 1) into 1 8.199 * [backup-simplify]: Simplify (sqrt 1) into 1 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.201 * [backup-simplify]: Simplify (+ 0 0) into 0 8.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.201 * [backup-simplify]: Simplify (sqrt 0) into 0 8.202 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.202 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.202 * [taylor]: Taking taylor expansion of re in im 8.202 * [backup-simplify]: Simplify re into re 8.202 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.202 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 8.202 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 8.202 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.202 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.202 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.202 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.202 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.202 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.202 * [taylor]: Taking taylor expansion of re in re 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (/ 1 1) into 1 8.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.203 * [taylor]: Taking taylor expansion of re in re 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (/ 1 1) into 1 8.203 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.203 * [taylor]: Taking taylor expansion of im in re 8.203 * [backup-simplify]: Simplify im into im 8.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.203 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.203 * [taylor]: Taking taylor expansion of im in re 8.203 * [backup-simplify]: Simplify im into im 8.203 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.203 * [backup-simplify]: Simplify (* 1 1) into 1 8.204 * [backup-simplify]: Simplify (+ 1 0) into 1 8.204 * [backup-simplify]: Simplify (sqrt 1) into 1 8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.206 * [backup-simplify]: Simplify (+ 0 0) into 0 8.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.207 * [backup-simplify]: Simplify (sqrt 0) into 0 8.208 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.208 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.208 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.208 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.208 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.208 * [taylor]: Taking taylor expansion of re in re 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 1 into 1 8.208 * [backup-simplify]: Simplify (/ 1 1) into 1 8.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.208 * [taylor]: Taking taylor expansion of re in re 8.209 * [backup-simplify]: Simplify 0 into 0 8.209 * [backup-simplify]: Simplify 1 into 1 8.209 * [backup-simplify]: Simplify (/ 1 1) into 1 8.209 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.209 * [taylor]: Taking taylor expansion of im in re 8.209 * [backup-simplify]: Simplify im into im 8.209 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.209 * [taylor]: Taking taylor expansion of im in re 8.209 * [backup-simplify]: Simplify im into im 8.209 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.210 * [backup-simplify]: Simplify (* 1 1) into 1 8.210 * [backup-simplify]: Simplify (+ 1 0) into 1 8.210 * [backup-simplify]: Simplify (sqrt 1) into 1 8.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.213 * [backup-simplify]: Simplify (+ 0 0) into 0 8.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.214 * [backup-simplify]: Simplify (sqrt 0) into 0 8.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.215 * [taylor]: Taking taylor expansion of re in re 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 8.216 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 8.216 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.216 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.216 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.216 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.216 * [taylor]: Taking taylor expansion of re in re 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.216 * [taylor]: Taking taylor expansion of re in re 8.216 * [backup-simplify]: Simplify 0 into 0 8.216 * [backup-simplify]: Simplify 1 into 1 8.217 * [backup-simplify]: Simplify (/ 1 1) into 1 8.217 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.217 * [taylor]: Taking taylor expansion of im in re 8.217 * [backup-simplify]: Simplify im into im 8.217 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.217 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.217 * [taylor]: Taking taylor expansion of im in re 8.217 * [backup-simplify]: Simplify im into im 8.217 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.217 * [backup-simplify]: Simplify (* 1 1) into 1 8.218 * [backup-simplify]: Simplify (+ 1 0) into 1 8.218 * [backup-simplify]: Simplify (sqrt 1) into 1 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.221 * [backup-simplify]: Simplify (sqrt 0) into 0 8.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.223 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.223 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.223 * [taylor]: Taking taylor expansion of re in re 8.223 * [backup-simplify]: Simplify 0 into 0 8.223 * [backup-simplify]: Simplify 1 into 1 8.223 * [backup-simplify]: Simplify (/ 1 1) into 1 8.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.224 * [taylor]: Taking taylor expansion of re in re 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.224 * [backup-simplify]: Simplify (/ 1 1) into 1 8.224 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.224 * [taylor]: Taking taylor expansion of im in re 8.224 * [backup-simplify]: Simplify im into im 8.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.224 * [taylor]: Taking taylor expansion of im in re 8.224 * [backup-simplify]: Simplify im into im 8.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.225 * [backup-simplify]: Simplify (* 1 1) into 1 8.225 * [backup-simplify]: Simplify (+ 1 0) into 1 8.225 * [backup-simplify]: Simplify (sqrt 1) into 1 8.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify (+ 0 0) into 0 8.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.229 * [backup-simplify]: Simplify (sqrt 0) into 0 8.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.230 * [taylor]: Taking taylor expansion of re in re 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 1 into 1 8.231 * [backup-simplify]: Simplify (/ 1 1) into 1 8.231 * [backup-simplify]: Simplify (* 0 0) into 0 8.232 * [backup-simplify]: Simplify (+ 0 0) into 0 8.232 * [taylor]: Taking taylor expansion of 0 in im 8.232 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.233 * [backup-simplify]: Simplify (+ 0 1) into 1 8.233 * [taylor]: Taking taylor expansion of 1 in im 8.233 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.239 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.242 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 8.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.244 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.244 * [taylor]: Taking taylor expansion of (- +nan.0) in im 8.244 * [taylor]: Taking taylor expansion of +nan.0 in im 8.244 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.244 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.247 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.247 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.248 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.250 * [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)) 8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.253 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.255 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.257 * [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)) 8.258 * [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) 8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.260 * [taylor]: Taking taylor expansion of (- +nan.0) in im 8.260 * [taylor]: Taking taylor expansion of +nan.0 in im 8.260 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.260 * [backup-simplify]: Simplify 1 into 1 8.260 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.263 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.263 * [backup-simplify]: Simplify (+ 0 0) into 0 8.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.265 * [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))) 8.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.268 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.269 * [backup-simplify]: Simplify (+ 0 0) into 0 8.269 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.270 * [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))) 8.272 * [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))) 8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.274 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 8.274 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 8.274 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 8.274 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 8.274 * [taylor]: Taking taylor expansion of +nan.0 in im 8.274 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.274 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.274 * [taylor]: Taking taylor expansion of im in im 8.274 * [backup-simplify]: Simplify 0 into 0 8.274 * [backup-simplify]: Simplify 1 into 1 8.274 * [backup-simplify]: Simplify (* 1 1) into 1 8.275 * [backup-simplify]: Simplify (/ 1 1) into 1 8.275 * [taylor]: Taking taylor expansion of (- +nan.0) in im 8.275 * [taylor]: Taking taylor expansion of +nan.0 in im 8.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.275 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.276 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.277 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.278 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.279 * [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))) 8.279 * [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)) 8.279 * [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 8.279 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 8.279 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 8.279 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 8.279 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 8.279 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.279 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.279 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.280 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.280 * [taylor]: Taking taylor expansion of -1 in im 8.280 * [backup-simplify]: Simplify -1 into -1 8.280 * [taylor]: Taking taylor expansion of re in im 8.280 * [backup-simplify]: Simplify re into re 8.280 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.280 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.280 * [taylor]: Taking taylor expansion of -1 in im 8.280 * [backup-simplify]: Simplify -1 into -1 8.280 * [taylor]: Taking taylor expansion of re in im 8.280 * [backup-simplify]: Simplify re into re 8.280 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.280 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.280 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.280 * [taylor]: Taking taylor expansion of -1 in im 8.280 * [backup-simplify]: Simplify -1 into -1 8.280 * [taylor]: Taking taylor expansion of im in im 8.280 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (/ -1 1) into -1 8.281 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.281 * [taylor]: Taking taylor expansion of -1 in im 8.281 * [backup-simplify]: Simplify -1 into -1 8.281 * [taylor]: Taking taylor expansion of im in im 8.281 * [backup-simplify]: Simplify 0 into 0 8.281 * [backup-simplify]: Simplify 1 into 1 8.281 * [backup-simplify]: Simplify (/ -1 1) into -1 8.282 * [backup-simplify]: Simplify (* -1 -1) into 1 8.282 * [backup-simplify]: Simplify (+ 0 1) into 1 8.283 * [backup-simplify]: Simplify (sqrt 1) into 1 8.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.286 * [backup-simplify]: Simplify (sqrt 0) into 0 8.288 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.288 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 8.288 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.288 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.288 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.288 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.288 * [taylor]: Taking taylor expansion of -1 in im 8.288 * [backup-simplify]: Simplify -1 into -1 8.288 * [taylor]: Taking taylor expansion of re in im 8.288 * [backup-simplify]: Simplify re into re 8.288 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.288 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.288 * [taylor]: Taking taylor expansion of -1 in im 8.288 * [backup-simplify]: Simplify -1 into -1 8.288 * [taylor]: Taking taylor expansion of re in im 8.288 * [backup-simplify]: Simplify re into re 8.288 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.288 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.288 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.288 * [taylor]: Taking taylor expansion of -1 in im 8.288 * [backup-simplify]: Simplify -1 into -1 8.288 * [taylor]: Taking taylor expansion of im in im 8.288 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.289 * [backup-simplify]: Simplify (/ -1 1) into -1 8.289 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.289 * [taylor]: Taking taylor expansion of -1 in im 8.289 * [backup-simplify]: Simplify -1 into -1 8.289 * [taylor]: Taking taylor expansion of im in im 8.289 * [backup-simplify]: Simplify 0 into 0 8.289 * [backup-simplify]: Simplify 1 into 1 8.290 * [backup-simplify]: Simplify (/ -1 1) into -1 8.290 * [backup-simplify]: Simplify (* -1 -1) into 1 8.290 * [backup-simplify]: Simplify (+ 0 1) into 1 8.291 * [backup-simplify]: Simplify (sqrt 1) into 1 8.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.293 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.294 * [backup-simplify]: Simplify (+ 0 0) into 0 8.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.295 * [backup-simplify]: Simplify (sqrt 0) into 0 8.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.296 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.296 * [taylor]: Taking taylor expansion of -1 in im 8.296 * [backup-simplify]: Simplify -1 into -1 8.296 * [taylor]: Taking taylor expansion of re in im 8.296 * [backup-simplify]: Simplify re into re 8.296 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.296 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 8.296 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 8.296 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 8.296 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.297 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.297 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.297 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.297 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.297 * [taylor]: Taking taylor expansion of -1 in re 8.297 * [backup-simplify]: Simplify -1 into -1 8.297 * [taylor]: Taking taylor expansion of re in re 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.297 * [backup-simplify]: Simplify (/ -1 1) into -1 8.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.297 * [taylor]: Taking taylor expansion of -1 in re 8.297 * [backup-simplify]: Simplify -1 into -1 8.297 * [taylor]: Taking taylor expansion of re in re 8.297 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify 1 into 1 8.298 * [backup-simplify]: Simplify (/ -1 1) into -1 8.298 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.298 * [taylor]: Taking taylor expansion of -1 in re 8.298 * [backup-simplify]: Simplify -1 into -1 8.298 * [taylor]: Taking taylor expansion of im in re 8.298 * [backup-simplify]: Simplify im into im 8.298 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.298 * [taylor]: Taking taylor expansion of -1 in re 8.298 * [backup-simplify]: Simplify -1 into -1 8.298 * [taylor]: Taking taylor expansion of im in re 8.298 * [backup-simplify]: Simplify im into im 8.298 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.299 * [backup-simplify]: Simplify (* -1 -1) into 1 8.299 * [backup-simplify]: Simplify (+ 1 0) into 1 8.299 * [backup-simplify]: Simplify (sqrt 1) into 1 8.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.303 * [backup-simplify]: Simplify (sqrt 0) into 0 8.304 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.304 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.304 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.305 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.305 * [taylor]: Taking taylor expansion of -1 in re 8.305 * [backup-simplify]: Simplify -1 into -1 8.305 * [taylor]: Taking taylor expansion of re in re 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 1 into 1 8.305 * [backup-simplify]: Simplify (/ -1 1) into -1 8.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.305 * [taylor]: Taking taylor expansion of -1 in re 8.305 * [backup-simplify]: Simplify -1 into -1 8.305 * [taylor]: Taking taylor expansion of re in re 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 1 into 1 8.306 * [backup-simplify]: Simplify (/ -1 1) into -1 8.306 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.306 * [taylor]: Taking taylor expansion of -1 in re 8.306 * [backup-simplify]: Simplify -1 into -1 8.306 * [taylor]: Taking taylor expansion of im in re 8.306 * [backup-simplify]: Simplify im into im 8.306 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.306 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.306 * [taylor]: Taking taylor expansion of -1 in re 8.306 * [backup-simplify]: Simplify -1 into -1 8.306 * [taylor]: Taking taylor expansion of im in re 8.306 * [backup-simplify]: Simplify im into im 8.306 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.307 * [backup-simplify]: Simplify (* -1 -1) into 1 8.307 * [backup-simplify]: Simplify (+ 1 0) into 1 8.307 * [backup-simplify]: Simplify (sqrt 1) into 1 8.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.310 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.310 * [backup-simplify]: Simplify (+ 0 0) into 0 8.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.318 * [backup-simplify]: Simplify (sqrt 0) into 0 8.320 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.320 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.320 * [taylor]: Taking taylor expansion of -1 in re 8.320 * [backup-simplify]: Simplify -1 into -1 8.320 * [taylor]: Taking taylor expansion of re in re 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (/ -1 1) into -1 8.320 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 8.321 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 8.321 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 8.321 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.321 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.321 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.321 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.321 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.321 * [taylor]: Taking taylor expansion of -1 in re 8.321 * [backup-simplify]: Simplify -1 into -1 8.321 * [taylor]: Taking taylor expansion of re in re 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.321 * [backup-simplify]: Simplify (/ -1 1) into -1 8.321 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.321 * [taylor]: Taking taylor expansion of -1 in re 8.321 * [backup-simplify]: Simplify -1 into -1 8.321 * [taylor]: Taking taylor expansion of re in re 8.321 * [backup-simplify]: Simplify 0 into 0 8.321 * [backup-simplify]: Simplify 1 into 1 8.322 * [backup-simplify]: Simplify (/ -1 1) into -1 8.322 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.322 * [taylor]: Taking taylor expansion of -1 in re 8.322 * [backup-simplify]: Simplify -1 into -1 8.322 * [taylor]: Taking taylor expansion of im in re 8.322 * [backup-simplify]: Simplify im into im 8.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.322 * [taylor]: Taking taylor expansion of -1 in re 8.322 * [backup-simplify]: Simplify -1 into -1 8.322 * [taylor]: Taking taylor expansion of im in re 8.322 * [backup-simplify]: Simplify im into im 8.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.323 * [backup-simplify]: Simplify (* -1 -1) into 1 8.323 * [backup-simplify]: Simplify (+ 1 0) into 1 8.324 * [backup-simplify]: Simplify (sqrt 1) into 1 8.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.326 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.327 * [backup-simplify]: Simplify (sqrt 0) into 0 8.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.329 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.329 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.329 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.329 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.329 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.329 * [taylor]: Taking taylor expansion of -1 in re 8.329 * [backup-simplify]: Simplify -1 into -1 8.329 * [taylor]: Taking taylor expansion of re in re 8.329 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify 1 into 1 8.329 * [backup-simplify]: Simplify (/ -1 1) into -1 8.329 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.329 * [taylor]: Taking taylor expansion of -1 in re 8.329 * [backup-simplify]: Simplify -1 into -1 8.330 * [taylor]: Taking taylor expansion of re in re 8.330 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify 1 into 1 8.330 * [backup-simplify]: Simplify (/ -1 1) into -1 8.330 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.330 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.330 * [taylor]: Taking taylor expansion of -1 in re 8.330 * [backup-simplify]: Simplify -1 into -1 8.330 * [taylor]: Taking taylor expansion of im in re 8.330 * [backup-simplify]: Simplify im into im 8.330 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.330 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.330 * [taylor]: Taking taylor expansion of -1 in re 8.330 * [backup-simplify]: Simplify -1 into -1 8.330 * [taylor]: Taking taylor expansion of im in re 8.330 * [backup-simplify]: Simplify im into im 8.330 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.331 * [backup-simplify]: Simplify (* -1 -1) into 1 8.331 * [backup-simplify]: Simplify (+ 1 0) into 1 8.332 * [backup-simplify]: Simplify (sqrt 1) into 1 8.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.334 * [backup-simplify]: Simplify (+ 0 0) into 0 8.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.335 * [backup-simplify]: Simplify (sqrt 0) into 0 8.337 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.337 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.337 * [taylor]: Taking taylor expansion of -1 in re 8.337 * [backup-simplify]: Simplify -1 into -1 8.337 * [taylor]: Taking taylor expansion of re in re 8.337 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify 1 into 1 8.337 * [backup-simplify]: Simplify (/ -1 1) into -1 8.338 * [backup-simplify]: Simplify (* 0 0) into 0 8.338 * [backup-simplify]: Simplify (+ 0 0) into 0 8.338 * [taylor]: Taking taylor expansion of 0 in im 8.338 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.339 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.339 * [taylor]: Taking taylor expansion of -1 in im 8.339 * [backup-simplify]: Simplify -1 into -1 8.343 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.348 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 8.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.350 * [taylor]: Taking taylor expansion of (- +nan.0) in im 8.350 * [taylor]: Taking taylor expansion of +nan.0 in im 8.350 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.350 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.353 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.354 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.355 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.357 * [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)) 8.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.360 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.361 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.364 * [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)) 8.365 * [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) 8.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.367 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.367 * [taylor]: Taking taylor expansion of (- +nan.0) in im 8.367 * [taylor]: Taking taylor expansion of +nan.0 in im 8.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.367 * [backup-simplify]: Simplify -1 into -1 8.367 * [backup-simplify]: Simplify 0 into 0 8.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.370 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.371 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.371 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.371 * [backup-simplify]: Simplify (+ 0 0) into 0 8.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.373 * [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))) 8.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.376 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.377 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.377 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.377 * [backup-simplify]: Simplify (+ 0 0) into 0 8.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.379 * [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))) 8.381 * [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))) 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0) into (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 8.383 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 8.383 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 8.383 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 8.383 * [taylor]: Taking taylor expansion of +nan.0 in im 8.383 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.383 * [taylor]: Taking taylor expansion of im in im 8.383 * [backup-simplify]: Simplify 0 into 0 8.383 * [backup-simplify]: Simplify 1 into 1 8.384 * [backup-simplify]: Simplify (* 1 1) into 1 8.384 * [backup-simplify]: Simplify (/ 1 1) into 1 8.384 * [taylor]: Taking taylor expansion of (- +nan.0) in im 8.384 * [taylor]: Taking taylor expansion of +nan.0 in im 8.384 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.384 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 8.385 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 8.386 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 8.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 8.388 * [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))) 8.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 8.388 * [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))) 8.388 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in (re im) around 0 8.389 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in im 8.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.389 * [taylor]: Taking taylor expansion of 2.0 in im 8.389 * [backup-simplify]: Simplify 2.0 into 2.0 8.389 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.390 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in im 8.390 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in im 8.390 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 8.390 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in im 8.390 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.390 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.390 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.390 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.390 * [taylor]: Taking taylor expansion of (* re re) in im 8.390 * [taylor]: Taking taylor expansion of re in im 8.390 * [backup-simplify]: Simplify re into re 8.390 * [taylor]: Taking taylor expansion of re in im 8.390 * [backup-simplify]: Simplify re into re 8.390 * [taylor]: Taking taylor expansion of (* im im) in im 8.390 * [taylor]: Taking taylor expansion of im in im 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [taylor]: Taking taylor expansion of im in im 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.391 * [backup-simplify]: Simplify (* 0 0) into 0 8.391 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.391 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.391 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.392 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.392 * [backup-simplify]: Simplify (+ 0 0) into 0 8.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.393 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 8.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 8.393 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 8.393 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.393 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.393 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.393 * [taylor]: Taking taylor expansion of (* re re) in im 8.393 * [taylor]: Taking taylor expansion of re in im 8.393 * [backup-simplify]: Simplify re into re 8.393 * [taylor]: Taking taylor expansion of re in im 8.393 * [backup-simplify]: Simplify re into re 8.393 * [taylor]: Taking taylor expansion of (* im im) in im 8.393 * [taylor]: Taking taylor expansion of im in im 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.393 * [taylor]: Taking taylor expansion of im in im 8.393 * [backup-simplify]: Simplify 0 into 0 8.393 * [backup-simplify]: Simplify 1 into 1 8.393 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.394 * [backup-simplify]: Simplify (* 0 0) into 0 8.394 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.394 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.394 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.395 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.395 * [backup-simplify]: Simplify (+ 0 0) into 0 8.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.395 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 8.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 8.395 * [taylor]: Taking taylor expansion of re in im 8.395 * [backup-simplify]: Simplify re into re 8.396 * [backup-simplify]: Simplify (* (sqrt re) (sqrt re)) into re 8.396 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.396 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 8.396 * [backup-simplify]: Simplify (+ (* (sqrt re) 0) (* 0 (sqrt re))) into 0 8.396 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 8.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re 8.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.396 * [taylor]: Taking taylor expansion of 2.0 in re 8.396 * [backup-simplify]: Simplify 2.0 into 2.0 8.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.398 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 8.398 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 8.398 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 8.398 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 8.398 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.398 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.398 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.398 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.398 * [taylor]: Taking taylor expansion of (* re re) in re 8.398 * [taylor]: Taking taylor expansion of re in re 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [taylor]: Taking taylor expansion of re in re 8.398 * [backup-simplify]: Simplify 0 into 0 8.398 * [backup-simplify]: Simplify 1 into 1 8.398 * [taylor]: Taking taylor expansion of (* im im) in re 8.398 * [taylor]: Taking taylor expansion of im in re 8.398 * [backup-simplify]: Simplify im into im 8.398 * [taylor]: Taking taylor expansion of im in re 8.398 * [backup-simplify]: Simplify im into im 8.399 * [backup-simplify]: Simplify (* 0 0) into 0 8.399 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.399 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.399 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.400 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.400 * [backup-simplify]: Simplify (+ 0 0) into 0 8.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.400 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.400 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.400 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.400 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.400 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.400 * [taylor]: Taking taylor expansion of (* re re) in re 8.400 * [taylor]: Taking taylor expansion of re in re 8.401 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify 1 into 1 8.401 * [taylor]: Taking taylor expansion of re in re 8.401 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify 1 into 1 8.401 * [taylor]: Taking taylor expansion of (* im im) in re 8.401 * [taylor]: Taking taylor expansion of im in re 8.401 * [backup-simplify]: Simplify im into im 8.401 * [taylor]: Taking taylor expansion of im in re 8.401 * [backup-simplify]: Simplify im into im 8.401 * [backup-simplify]: Simplify (* 0 0) into 0 8.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.401 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.401 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.402 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.402 * [backup-simplify]: Simplify (+ 0 0) into 0 8.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.403 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.403 * [taylor]: Taking taylor expansion of re in re 8.403 * [backup-simplify]: Simplify 0 into 0 8.403 * [backup-simplify]: Simplify 1 into 1 8.403 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 8.403 * [backup-simplify]: Simplify (+ im 0) into im 8.403 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.403 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 8.404 * [backup-simplify]: Simplify (+ 0 1) into 1 8.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 8.404 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) in re 8.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.404 * [taylor]: Taking taylor expansion of 2.0 in re 8.404 * [backup-simplify]: Simplify 2.0 into 2.0 8.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.405 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) in re 8.405 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) in re 8.405 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 8.405 * [taylor]: Taking taylor expansion of (* (sqrt (hypot re im)) (sqrt (hypot re im))) in re 8.405 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.405 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.405 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.405 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.405 * [taylor]: Taking taylor expansion of (* re re) in re 8.405 * [taylor]: Taking taylor expansion of re in re 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [taylor]: Taking taylor expansion of re in re 8.405 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify 1 into 1 8.405 * [taylor]: Taking taylor expansion of (* im im) in re 8.405 * [taylor]: Taking taylor expansion of im in re 8.405 * [backup-simplify]: Simplify im into im 8.405 * [taylor]: Taking taylor expansion of im in re 8.405 * [backup-simplify]: Simplify im into im 8.406 * [backup-simplify]: Simplify (* 0 0) into 0 8.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.406 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.406 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.407 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.407 * [backup-simplify]: Simplify (+ 0 0) into 0 8.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.407 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.408 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 8.408 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.408 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.408 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.408 * [taylor]: Taking taylor expansion of (* re re) in re 8.408 * [taylor]: Taking taylor expansion of re in re 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [taylor]: Taking taylor expansion of re in re 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [taylor]: Taking taylor expansion of (* im im) in re 8.408 * [taylor]: Taking taylor expansion of im in re 8.408 * [backup-simplify]: Simplify im into im 8.408 * [taylor]: Taking taylor expansion of im in re 8.408 * [backup-simplify]: Simplify im into im 8.408 * [backup-simplify]: Simplify (* 0 0) into 0 8.408 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.409 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.409 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.409 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.409 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.410 * [backup-simplify]: Simplify (+ 0 0) into 0 8.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.410 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 8.410 * [taylor]: Taking taylor expansion of re in re 8.410 * [backup-simplify]: Simplify 0 into 0 8.410 * [backup-simplify]: Simplify 1 into 1 8.410 * [backup-simplify]: Simplify (* (sqrt im) (sqrt im)) into im 8.410 * [backup-simplify]: Simplify (+ im 0) into im 8.410 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.410 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* 0 (sqrt im))) into 0 8.411 * [backup-simplify]: Simplify (+ 0 1) into 1 8.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 8.411 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 8.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 8.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.412 * [taylor]: Taking taylor expansion of 2.0 in im 8.412 * [backup-simplify]: Simplify 2.0 into 2.0 8.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.413 * [taylor]: Taking taylor expansion of (sqrt im) in im 8.413 * [taylor]: Taking taylor expansion of im in im 8.413 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify 1 into 1 8.414 * [backup-simplify]: Simplify (sqrt 0) into 0 8.415 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.416 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 8.416 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 8.416 * [taylor]: Taking taylor expansion of 1/2 in im 8.416 * [backup-simplify]: Simplify 1/2 into 1/2 8.416 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 8.416 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.416 * [taylor]: Taking taylor expansion of 2.0 in im 8.416 * [backup-simplify]: Simplify 2.0 into 2.0 8.417 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 8.418 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.418 * [taylor]: Taking taylor expansion of im in im 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 1 into 1 8.418 * [backup-simplify]: Simplify (/ 1 1) into 1 8.418 * [backup-simplify]: Simplify (sqrt 0) into 0 8.419 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.420 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.421 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.423 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.424 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.425 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.426 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.426 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.427 * [backup-simplify]: Simplify (+ 1 0) into 1 8.427 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.428 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 8.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.428 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.429 * [backup-simplify]: Simplify (+ 1 0) into 1 8.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.430 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 8.430 * [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)) 8.430 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 im)) 0) into (* 1/2 (/ 1 im)) 8.431 * [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)))) 8.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.432 * [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))))) 8.432 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 8.432 * [taylor]: Taking taylor expansion of 1/8 in im 8.432 * [backup-simplify]: Simplify 1/8 into 1/8 8.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 8.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.432 * [taylor]: Taking taylor expansion of 2.0 in im 8.432 * [backup-simplify]: Simplify 2.0 into 2.0 8.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 8.432 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 8.432 * [taylor]: Taking taylor expansion of (pow im 3) in im 8.432 * [taylor]: Taking taylor expansion of im in im 8.432 * [backup-simplify]: Simplify 0 into 0 8.432 * [backup-simplify]: Simplify 1 into 1 8.433 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (* 1 1) into 1 8.433 * [backup-simplify]: Simplify (/ 1 1) into 1 8.433 * [backup-simplify]: Simplify (sqrt 0) into 0 8.434 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.438 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.439 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.440 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.441 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.444 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.449 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.453 * [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))))))) 8.453 * [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)))) 8.453 * [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 8.453 * [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 8.453 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.453 * [taylor]: Taking taylor expansion of 2.0 in im 8.453 * [backup-simplify]: Simplify 2.0 into 2.0 8.454 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.455 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in im 8.455 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in im 8.455 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 8.455 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in im 8.455 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.455 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.455 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.455 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.455 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.455 * [taylor]: Taking taylor expansion of re in im 8.455 * [backup-simplify]: Simplify re into re 8.455 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.455 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.455 * [taylor]: Taking taylor expansion of re in im 8.455 * [backup-simplify]: Simplify re into re 8.455 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.455 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.455 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.455 * [taylor]: Taking taylor expansion of im in im 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (/ 1 1) into 1 8.456 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.456 * [taylor]: Taking taylor expansion of im in im 8.456 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify (/ 1 1) into 1 8.457 * [backup-simplify]: Simplify (* 1 1) into 1 8.457 * [backup-simplify]: Simplify (+ 0 1) into 1 8.457 * [backup-simplify]: Simplify (sqrt 1) into 1 8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.460 * [backup-simplify]: Simplify (+ 0 0) into 0 8.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.461 * [backup-simplify]: Simplify (sqrt 0) into 0 8.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.462 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 8.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.463 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.463 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.463 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.463 * [taylor]: Taking taylor expansion of re in im 8.463 * [backup-simplify]: Simplify re into re 8.463 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.463 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.463 * [taylor]: Taking taylor expansion of re in im 8.463 * [backup-simplify]: Simplify re into re 8.463 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.463 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.463 * [taylor]: Taking taylor expansion of im in im 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.463 * [backup-simplify]: Simplify (/ 1 1) into 1 8.463 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.463 * [taylor]: Taking taylor expansion of im in im 8.463 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify 1 into 1 8.463 * [backup-simplify]: Simplify (/ 1 1) into 1 8.464 * [backup-simplify]: Simplify (* 1 1) into 1 8.464 * [backup-simplify]: Simplify (+ 0 1) into 1 8.464 * [backup-simplify]: Simplify (sqrt 1) into 1 8.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.465 * [backup-simplify]: Simplify (+ 0 0) into 0 8.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.466 * [backup-simplify]: Simplify (sqrt 0) into 0 8.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.467 * [taylor]: Taking taylor expansion of re in im 8.467 * [backup-simplify]: Simplify re into re 8.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.467 * [backup-simplify]: Simplify (* 0 0) into 0 8.467 * [backup-simplify]: Simplify (+ 0 0) into 0 8.468 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.468 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.471 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.473 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 8.473 * [backup-simplify]: Simplify (+ (- +nan.0) (/ 1 re)) into (- (/ 1 re) +nan.0) 8.473 * [backup-simplify]: Simplify (sqrt (- (/ 1 re) +nan.0)) into (sqrt (- (/ 1 re) +nan.0)) 8.473 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.475 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 8.476 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.477 * [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)) 8.477 * [backup-simplify]: Simplify (* (/ 1 re) (/ 1 re)) into (/ 1 (pow re 2)) 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.479 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 8.480 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.481 * [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)) 8.482 * [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) 8.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 8.482 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.483 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (/ 1 re) +nan.0)))) into (* +nan.0 (sqrt (/ 1 (- (/ 1 re) +nan.0)))) 8.483 * [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 8.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.483 * [taylor]: Taking taylor expansion of 2.0 in re 8.483 * [backup-simplify]: Simplify 2.0 into 2.0 8.483 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.483 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 8.483 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 8.483 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 8.483 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.483 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.483 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.484 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.484 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.484 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.484 * [taylor]: Taking taylor expansion of re in re 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [backup-simplify]: Simplify (/ 1 1) into 1 8.484 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.484 * [taylor]: Taking taylor expansion of re in re 8.484 * [backup-simplify]: Simplify 0 into 0 8.484 * [backup-simplify]: Simplify 1 into 1 8.484 * [backup-simplify]: Simplify (/ 1 1) into 1 8.484 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.484 * [taylor]: Taking taylor expansion of im in re 8.484 * [backup-simplify]: Simplify im into im 8.484 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.484 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.484 * [taylor]: Taking taylor expansion of im in re 8.484 * [backup-simplify]: Simplify im into im 8.484 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.485 * [backup-simplify]: Simplify (* 1 1) into 1 8.485 * [backup-simplify]: Simplify (+ 1 0) into 1 8.485 * [backup-simplify]: Simplify (sqrt 1) into 1 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.487 * [backup-simplify]: Simplify (+ 0 0) into 0 8.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.487 * [backup-simplify]: Simplify (sqrt 0) into 0 8.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.488 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.488 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.488 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.488 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.488 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.488 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.488 * [taylor]: Taking taylor expansion of re in re 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (/ 1 1) into 1 8.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.489 * [taylor]: Taking taylor expansion of re in re 8.489 * [backup-simplify]: Simplify 0 into 0 8.489 * [backup-simplify]: Simplify 1 into 1 8.489 * [backup-simplify]: Simplify (/ 1 1) into 1 8.489 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.489 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.489 * [taylor]: Taking taylor expansion of im in re 8.489 * [backup-simplify]: Simplify im into im 8.489 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.489 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.489 * [taylor]: Taking taylor expansion of im in re 8.489 * [backup-simplify]: Simplify im into im 8.489 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.489 * [backup-simplify]: Simplify (* 1 1) into 1 8.490 * [backup-simplify]: Simplify (+ 1 0) into 1 8.490 * [backup-simplify]: Simplify (sqrt 1) into 1 8.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.491 * [backup-simplify]: Simplify (+ 0 0) into 0 8.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.492 * [backup-simplify]: Simplify (sqrt 0) into 0 8.493 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.493 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.493 * [taylor]: Taking taylor expansion of re in re 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.494 * [backup-simplify]: Simplify (/ 1 1) into 1 8.494 * [backup-simplify]: Simplify (* 0 0) into 0 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.495 * [backup-simplify]: Simplify (+ 0 1) into 1 8.495 * [backup-simplify]: Simplify (sqrt 0) into 0 8.496 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.496 * [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 8.496 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.496 * [taylor]: Taking taylor expansion of 2.0 in re 8.496 * [backup-simplify]: Simplify 2.0 into 2.0 8.496 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.497 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re))) in re 8.497 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))) (/ 1 re)) in re 8.497 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 8.497 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) in re 8.497 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.497 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.497 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.497 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.497 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.497 * [taylor]: Taking taylor expansion of re in re 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ 1 1) into 1 8.497 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.497 * [taylor]: Taking taylor expansion of re in re 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.498 * [backup-simplify]: Simplify (/ 1 1) into 1 8.498 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.498 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.498 * [taylor]: Taking taylor expansion of im in re 8.498 * [backup-simplify]: Simplify im into im 8.498 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.498 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.498 * [taylor]: Taking taylor expansion of im in re 8.498 * [backup-simplify]: Simplify im into im 8.498 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.498 * [backup-simplify]: Simplify (* 1 1) into 1 8.498 * [backup-simplify]: Simplify (+ 1 0) into 1 8.499 * [backup-simplify]: Simplify (sqrt 1) into 1 8.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.500 * [backup-simplify]: Simplify (+ 0 0) into 0 8.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.501 * [backup-simplify]: Simplify (sqrt 0) into 0 8.501 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.501 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 8.502 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.502 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.502 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.502 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.502 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.502 * [taylor]: Taking taylor expansion of re in re 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (/ 1 1) into 1 8.502 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.502 * [taylor]: Taking taylor expansion of re in re 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (/ 1 1) into 1 8.502 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.502 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.502 * [taylor]: Taking taylor expansion of im in re 8.502 * [backup-simplify]: Simplify im into im 8.502 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.502 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.502 * [taylor]: Taking taylor expansion of im in re 8.502 * [backup-simplify]: Simplify im into im 8.502 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.503 * [backup-simplify]: Simplify (* 1 1) into 1 8.503 * [backup-simplify]: Simplify (+ 1 0) into 1 8.504 * [backup-simplify]: Simplify (sqrt 1) into 1 8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.506 * [backup-simplify]: Simplify (+ 0 0) into 0 8.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.507 * [backup-simplify]: Simplify (sqrt 0) into 0 8.509 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.509 * [taylor]: Taking taylor expansion of re in re 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [backup-simplify]: Simplify (* 0 0) into 0 8.510 * [backup-simplify]: Simplify (+ 0 0) into 0 8.510 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.511 * [backup-simplify]: Simplify (+ 0 1) into 1 8.511 * [backup-simplify]: Simplify (sqrt 0) into 0 8.512 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.513 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.513 * [taylor]: Taking taylor expansion of 0 in im 8.513 * [backup-simplify]: Simplify 0 into 0 8.513 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.515 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.515 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.515 * [taylor]: Taking taylor expansion of +nan.0 in im 8.515 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.515 * [taylor]: Taking taylor expansion of 2.0 in im 8.515 * [backup-simplify]: Simplify 2.0 into 2.0 8.516 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.517 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.519 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.519 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.520 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.523 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.524 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 8.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.525 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.527 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.530 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.530 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.530 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.530 * [taylor]: Taking taylor expansion of +nan.0 in im 8.530 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.530 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.530 * [taylor]: Taking taylor expansion of 2.0 in im 8.530 * [backup-simplify]: Simplify 2.0 into 2.0 8.530 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.531 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.532 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.533 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.533 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.534 * [backup-simplify]: Simplify (- 0) into 0 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify 0 into 0 8.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.535 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.535 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.536 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.537 * [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)) 8.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.539 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.539 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.541 * [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)) 8.542 * [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) 8.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.543 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.551 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.555 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0))) 8.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.556 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.556 * [taylor]: Taking taylor expansion of +nan.0 in im 8.556 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.556 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.556 * [taylor]: Taking taylor expansion of 2.0 in im 8.556 * [backup-simplify]: Simplify 2.0 into 2.0 8.556 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.558 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.559 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.560 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.564 * [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)))))))) 8.564 * [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)))) 8.564 * [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 8.564 * [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 8.564 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.564 * [taylor]: Taking taylor expansion of 2.0 in im 8.564 * [backup-simplify]: Simplify 2.0 into 2.0 8.565 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.565 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in im 8.565 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in im 8.565 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 8.565 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in im 8.565 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 8.565 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.565 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.565 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.565 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.565 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.565 * [taylor]: Taking taylor expansion of -1 in im 8.565 * [backup-simplify]: Simplify -1 into -1 8.565 * [taylor]: Taking taylor expansion of re in im 8.565 * [backup-simplify]: Simplify re into re 8.565 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.565 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.565 * [taylor]: Taking taylor expansion of -1 in im 8.565 * [backup-simplify]: Simplify -1 into -1 8.565 * [taylor]: Taking taylor expansion of re in im 8.565 * [backup-simplify]: Simplify re into re 8.565 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.565 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.565 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.565 * [taylor]: Taking taylor expansion of -1 in im 8.566 * [backup-simplify]: Simplify -1 into -1 8.566 * [taylor]: Taking taylor expansion of im in im 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify (/ -1 1) into -1 8.566 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.566 * [taylor]: Taking taylor expansion of -1 in im 8.566 * [backup-simplify]: Simplify -1 into -1 8.566 * [taylor]: Taking taylor expansion of im in im 8.566 * [backup-simplify]: Simplify 0 into 0 8.566 * [backup-simplify]: Simplify 1 into 1 8.566 * [backup-simplify]: Simplify (/ -1 1) into -1 8.566 * [backup-simplify]: Simplify (* -1 -1) into 1 8.567 * [backup-simplify]: Simplify (+ 0 1) into 1 8.567 * [backup-simplify]: Simplify (sqrt 1) into 1 8.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.568 * [backup-simplify]: Simplify (+ 0 0) into 0 8.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.569 * [backup-simplify]: Simplify (sqrt 0) into 0 8.570 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.570 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 8.570 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.570 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.570 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.570 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.570 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.570 * [taylor]: Taking taylor expansion of -1 in im 8.570 * [backup-simplify]: Simplify -1 into -1 8.570 * [taylor]: Taking taylor expansion of re in im 8.570 * [backup-simplify]: Simplify re into re 8.570 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.570 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.570 * [taylor]: Taking taylor expansion of -1 in im 8.570 * [backup-simplify]: Simplify -1 into -1 8.570 * [taylor]: Taking taylor expansion of re in im 8.570 * [backup-simplify]: Simplify re into re 8.570 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.570 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.570 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.570 * [taylor]: Taking taylor expansion of -1 in im 8.570 * [backup-simplify]: Simplify -1 into -1 8.570 * [taylor]: Taking taylor expansion of im in im 8.570 * [backup-simplify]: Simplify 0 into 0 8.570 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (/ -1 1) into -1 8.571 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.571 * [taylor]: Taking taylor expansion of -1 in im 8.571 * [backup-simplify]: Simplify -1 into -1 8.571 * [taylor]: Taking taylor expansion of im in im 8.571 * [backup-simplify]: Simplify 0 into 0 8.571 * [backup-simplify]: Simplify 1 into 1 8.571 * [backup-simplify]: Simplify (/ -1 1) into -1 8.571 * [backup-simplify]: Simplify (* -1 -1) into 1 8.572 * [backup-simplify]: Simplify (+ 0 1) into 1 8.572 * [backup-simplify]: Simplify (sqrt 1) into 1 8.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.573 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.573 * [backup-simplify]: Simplify (+ 0 0) into 0 8.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.574 * [backup-simplify]: Simplify (sqrt 0) into 0 8.575 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.575 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.575 * [taylor]: Taking taylor expansion of -1 in im 8.575 * [backup-simplify]: Simplify -1 into -1 8.575 * [taylor]: Taking taylor expansion of re in im 8.575 * [backup-simplify]: Simplify re into re 8.575 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.575 * [backup-simplify]: Simplify (* 0 0) into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.576 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.576 * [backup-simplify]: Simplify (+ 0 0) into 0 8.578 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.579 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.581 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 8.581 * [backup-simplify]: Simplify (+ (- +nan.0) (/ -1 re)) into (- (+ (/ 1 re) (- +nan.0))) 8.581 * [backup-simplify]: Simplify (sqrt (- (+ (/ 1 re) (- +nan.0)))) into (sqrt (- (+ (/ 1 re) (- +nan.0)))) 8.582 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 8.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.583 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 8.584 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.585 * [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)) 8.585 * [backup-simplify]: Simplify (* (/ -1 re) (/ -1 re)) into (/ 1 (pow re 2)) 8.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.587 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 8.588 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 8.589 * [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)) 8.590 * [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) 8.590 * [backup-simplify]: Simplify (- (/ 0 re) (+ (* (/ -1 re) (/ 0 re)))) into 0 8.591 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.591 * [backup-simplify]: Simplify (/ (- +nan.0) (* 2 (sqrt (- (+ (/ 1 re) (- +nan.0)))))) into (/ +nan.0 (sqrt (- (+ (/ 1 re) (- +nan.0))))) 8.591 * [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 8.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.591 * [taylor]: Taking taylor expansion of 2.0 in re 8.591 * [backup-simplify]: Simplify 2.0 into 2.0 8.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.592 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 8.592 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 8.592 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 8.592 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 8.592 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.592 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.592 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.592 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.592 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.592 * [taylor]: Taking taylor expansion of -1 in re 8.592 * [backup-simplify]: Simplify -1 into -1 8.592 * [taylor]: Taking taylor expansion of re in re 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.592 * [backup-simplify]: Simplify (/ -1 1) into -1 8.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.592 * [taylor]: Taking taylor expansion of -1 in re 8.592 * [backup-simplify]: Simplify -1 into -1 8.592 * [taylor]: Taking taylor expansion of re in re 8.592 * [backup-simplify]: Simplify 0 into 0 8.592 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (/ -1 1) into -1 8.593 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.593 * [taylor]: Taking taylor expansion of -1 in re 8.593 * [backup-simplify]: Simplify -1 into -1 8.593 * [taylor]: Taking taylor expansion of im in re 8.593 * [backup-simplify]: Simplify im into im 8.593 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.593 * [taylor]: Taking taylor expansion of -1 in re 8.593 * [backup-simplify]: Simplify -1 into -1 8.593 * [taylor]: Taking taylor expansion of im in re 8.593 * [backup-simplify]: Simplify im into im 8.593 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.593 * [backup-simplify]: Simplify (* -1 -1) into 1 8.594 * [backup-simplify]: Simplify (+ 1 0) into 1 8.594 * [backup-simplify]: Simplify (sqrt 1) into 1 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.596 * [backup-simplify]: Simplify (+ 0 0) into 0 8.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.596 * [backup-simplify]: Simplify (sqrt 0) into 0 8.597 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.597 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.597 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.597 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.597 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.597 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.597 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.597 * [taylor]: Taking taylor expansion of -1 in re 8.597 * [backup-simplify]: Simplify -1 into -1 8.597 * [taylor]: Taking taylor expansion of re in re 8.597 * [backup-simplify]: Simplify 0 into 0 8.597 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (/ -1 1) into -1 8.598 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.598 * [taylor]: Taking taylor expansion of -1 in re 8.598 * [backup-simplify]: Simplify -1 into -1 8.598 * [taylor]: Taking taylor expansion of re in re 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (/ -1 1) into -1 8.598 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.598 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.598 * [taylor]: Taking taylor expansion of -1 in re 8.598 * [backup-simplify]: Simplify -1 into -1 8.598 * [taylor]: Taking taylor expansion of im in re 8.598 * [backup-simplify]: Simplify im into im 8.598 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.598 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.598 * [taylor]: Taking taylor expansion of -1 in re 8.598 * [backup-simplify]: Simplify -1 into -1 8.598 * [taylor]: Taking taylor expansion of im in re 8.598 * [backup-simplify]: Simplify im into im 8.598 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.598 * [backup-simplify]: Simplify (* -1 -1) into 1 8.599 * [backup-simplify]: Simplify (+ 1 0) into 1 8.599 * [backup-simplify]: Simplify (sqrt 1) into 1 8.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.603 * [backup-simplify]: Simplify (sqrt 0) into 0 8.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.604 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.604 * [taylor]: Taking taylor expansion of -1 in re 8.604 * [backup-simplify]: Simplify -1 into -1 8.604 * [taylor]: Taking taylor expansion of re in re 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.605 * [backup-simplify]: Simplify (/ -1 1) into -1 8.605 * [backup-simplify]: Simplify (* 0 0) into 0 8.605 * [backup-simplify]: Simplify (+ 0 0) into 0 8.606 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.606 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.607 * [backup-simplify]: Simplify (sqrt 0) into 0 8.608 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.608 * [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 8.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.608 * [taylor]: Taking taylor expansion of 2.0 in re 8.608 * [backup-simplify]: Simplify 2.0 into 2.0 8.609 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.609 * [taylor]: Taking taylor expansion of (sqrt (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re))) in re 8.609 * [taylor]: Taking taylor expansion of (fma (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im))) (/ -1 re)) in re 8.609 * [taylor]: Rewrote expression to (+ (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) (/ -1 re)) 8.609 * [taylor]: Taking taylor expansion of (* (sqrt (hypot (/ -1 re) (/ -1 im))) (sqrt (hypot (/ -1 re) (/ -1 im)))) in re 8.610 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.610 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.610 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.610 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.610 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.610 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.610 * [taylor]: Taking taylor expansion of -1 in re 8.610 * [backup-simplify]: Simplify -1 into -1 8.610 * [taylor]: Taking taylor expansion of re in re 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [backup-simplify]: Simplify (/ -1 1) into -1 8.610 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.610 * [taylor]: Taking taylor expansion of -1 in re 8.610 * [backup-simplify]: Simplify -1 into -1 8.610 * [taylor]: Taking taylor expansion of re in re 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.611 * [backup-simplify]: Simplify (/ -1 1) into -1 8.611 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.611 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.611 * [taylor]: Taking taylor expansion of -1 in re 8.611 * [backup-simplify]: Simplify -1 into -1 8.611 * [taylor]: Taking taylor expansion of im in re 8.611 * [backup-simplify]: Simplify im into im 8.611 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.611 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.611 * [taylor]: Taking taylor expansion of -1 in re 8.611 * [backup-simplify]: Simplify -1 into -1 8.611 * [taylor]: Taking taylor expansion of im in re 8.611 * [backup-simplify]: Simplify im into im 8.611 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.612 * [backup-simplify]: Simplify (* -1 -1) into 1 8.612 * [backup-simplify]: Simplify (+ 1 0) into 1 8.612 * [backup-simplify]: Simplify (sqrt 1) into 1 8.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.615 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.615 * [backup-simplify]: Simplify (+ 0 0) into 0 8.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.616 * [backup-simplify]: Simplify (sqrt 0) into 0 8.617 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.617 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 8.618 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.618 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.618 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.618 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.618 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.618 * [taylor]: Taking taylor expansion of -1 in re 8.618 * [backup-simplify]: Simplify -1 into -1 8.618 * [taylor]: Taking taylor expansion of re in re 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [backup-simplify]: Simplify (/ -1 1) into -1 8.618 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.618 * [taylor]: Taking taylor expansion of -1 in re 8.618 * [backup-simplify]: Simplify -1 into -1 8.618 * [taylor]: Taking taylor expansion of re in re 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (/ -1 1) into -1 8.619 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.619 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.619 * [taylor]: Taking taylor expansion of -1 in re 8.619 * [backup-simplify]: Simplify -1 into -1 8.619 * [taylor]: Taking taylor expansion of im in re 8.619 * [backup-simplify]: Simplify im into im 8.619 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.619 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.619 * [taylor]: Taking taylor expansion of -1 in re 8.619 * [backup-simplify]: Simplify -1 into -1 8.619 * [taylor]: Taking taylor expansion of im in re 8.619 * [backup-simplify]: Simplify im into im 8.619 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.620 * [backup-simplify]: Simplify (* -1 -1) into 1 8.620 * [backup-simplify]: Simplify (+ 1 0) into 1 8.621 * [backup-simplify]: Simplify (sqrt 1) into 1 8.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.623 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.624 * [backup-simplify]: Simplify (+ 0 0) into 0 8.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.625 * [backup-simplify]: Simplify (sqrt 0) into 0 8.626 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.626 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.626 * [taylor]: Taking taylor expansion of -1 in re 8.626 * [backup-simplify]: Simplify -1 into -1 8.626 * [taylor]: Taking taylor expansion of re in re 8.626 * [backup-simplify]: Simplify 0 into 0 8.626 * [backup-simplify]: Simplify 1 into 1 8.626 * [backup-simplify]: Simplify (/ -1 1) into -1 8.627 * [backup-simplify]: Simplify (* 0 0) into 0 8.627 * [backup-simplify]: Simplify (+ 0 0) into 0 8.628 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* +nan.0 0)) into 0 8.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.629 * [backup-simplify]: Simplify (sqrt 0) into 0 8.630 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 8.631 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.631 * [taylor]: Taking taylor expansion of 0 in im 8.631 * [backup-simplify]: Simplify 0 into 0 8.631 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.633 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.633 * [taylor]: Taking taylor expansion of +nan.0 in im 8.633 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.633 * [taylor]: Taking taylor expansion of 2.0 in im 8.633 * [backup-simplify]: Simplify 2.0 into 2.0 8.634 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.636 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.637 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.639 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.639 * [backup-simplify]: Simplify 0 into 0 8.642 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.645 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.647 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 0))) into (- +nan.0) 8.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.649 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.653 * [backup-simplify]: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.656 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.656 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.656 * [taylor]: Taking taylor expansion of +nan.0 in im 8.656 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.657 * [taylor]: Taking taylor expansion of 2.0 in im 8.657 * [backup-simplify]: Simplify 2.0 into 2.0 8.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.659 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.660 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.661 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.662 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.663 * [backup-simplify]: Simplify (- 0) into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 0 into 0 8.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.672 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.672 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.674 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.676 * [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)) 8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.679 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.679 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.680 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.682 * [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)) 8.683 * [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) 8.684 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.685 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 8.689 * [backup-simplify]: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 8.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.694 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 2.0))) 8.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.694 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.694 * [taylor]: Taking taylor expansion of +nan.0 in im 8.694 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.694 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.694 * [taylor]: Taking taylor expansion of 2.0 in im 8.694 * [backup-simplify]: Simplify 2.0 into 2.0 8.694 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.696 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.698 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.699 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.703 * [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)))))))) 8.703 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 8.704 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 8.704 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 8.704 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.704 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.704 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.704 * [taylor]: Taking taylor expansion of (* re re) in im 8.704 * [taylor]: Taking taylor expansion of re in im 8.704 * [backup-simplify]: Simplify re into re 8.704 * [taylor]: Taking taylor expansion of re in im 8.704 * [backup-simplify]: Simplify re into re 8.704 * [taylor]: Taking taylor expansion of (* im im) in im 8.704 * [taylor]: Taking taylor expansion of im in im 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.704 * [taylor]: Taking taylor expansion of im in im 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.704 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.704 * [backup-simplify]: Simplify (* 0 0) into 0 8.704 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.704 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.704 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.705 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.705 * [backup-simplify]: Simplify (+ 0 0) into 0 8.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.705 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.705 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.705 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.705 * [taylor]: Taking taylor expansion of (* re re) in re 8.705 * [taylor]: Taking taylor expansion of re in re 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [taylor]: Taking taylor expansion of re in re 8.705 * [backup-simplify]: Simplify 0 into 0 8.705 * [backup-simplify]: Simplify 1 into 1 8.705 * [taylor]: Taking taylor expansion of (* im im) in re 8.705 * [taylor]: Taking taylor expansion of im in re 8.705 * [backup-simplify]: Simplify im into im 8.705 * [taylor]: Taking taylor expansion of im in re 8.705 * [backup-simplify]: Simplify im into im 8.705 * [backup-simplify]: Simplify (* 0 0) into 0 8.705 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.706 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.706 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.706 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.706 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.706 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.706 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.706 * [taylor]: Taking taylor expansion of (* re re) in re 8.706 * [taylor]: Taking taylor expansion of re in re 8.706 * [backup-simplify]: Simplify 0 into 0 8.706 * [backup-simplify]: Simplify 1 into 1 8.706 * [taylor]: Taking taylor expansion of re in re 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [taylor]: Taking taylor expansion of (* im im) in re 8.707 * [taylor]: Taking taylor expansion of im in re 8.707 * [backup-simplify]: Simplify im into im 8.707 * [taylor]: Taking taylor expansion of im in re 8.707 * [backup-simplify]: Simplify im into im 8.707 * [backup-simplify]: Simplify (* 0 0) into 0 8.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.707 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.707 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.707 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.708 * [backup-simplify]: Simplify (+ 0 0) into 0 8.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.708 * [taylor]: Taking taylor expansion of im in im 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [taylor]: Taking taylor expansion of 0 in im 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 0 into 0 8.708 * [backup-simplify]: Simplify 1 into 1 8.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.709 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.709 * [backup-simplify]: Simplify (+ 1 0) into 1 8.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.709 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.709 * [taylor]: Taking taylor expansion of 1/2 in im 8.709 * [backup-simplify]: Simplify 1/2 into 1/2 8.709 * [taylor]: Taking taylor expansion of im in im 8.709 * [backup-simplify]: Simplify 0 into 0 8.709 * [backup-simplify]: Simplify 1 into 1 8.710 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.711 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.712 * [backup-simplify]: Simplify (+ 0 0) into 0 8.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.712 * [taylor]: Taking taylor expansion of 0 in im 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.713 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 8.713 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 8.713 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.713 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.713 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.713 * [taylor]: Taking taylor expansion of re in im 8.713 * [backup-simplify]: Simplify re into re 8.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.713 * [taylor]: Taking taylor expansion of re in im 8.713 * [backup-simplify]: Simplify re into re 8.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.713 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.713 * [taylor]: Taking taylor expansion of im in im 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [backup-simplify]: Simplify (/ 1 1) into 1 8.713 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.713 * [taylor]: Taking taylor expansion of im in im 8.713 * [backup-simplify]: Simplify 0 into 0 8.713 * [backup-simplify]: Simplify 1 into 1 8.713 * [backup-simplify]: Simplify (/ 1 1) into 1 8.714 * [backup-simplify]: Simplify (* 1 1) into 1 8.714 * [backup-simplify]: Simplify (+ 0 1) into 1 8.714 * [backup-simplify]: Simplify (sqrt 1) into 1 8.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.716 * [backup-simplify]: Simplify (+ 0 0) into 0 8.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.716 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.716 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.716 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.716 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.716 * [taylor]: Taking taylor expansion of re in re 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (/ 1 1) into 1 8.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.716 * [taylor]: Taking taylor expansion of re in re 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.717 * [taylor]: Taking taylor expansion of im in re 8.717 * [backup-simplify]: Simplify im into im 8.717 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.717 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.717 * [taylor]: Taking taylor expansion of im in re 8.717 * [backup-simplify]: Simplify im into im 8.717 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.717 * [backup-simplify]: Simplify (* 1 1) into 1 8.717 * [backup-simplify]: Simplify (+ 1 0) into 1 8.718 * [backup-simplify]: Simplify (sqrt 1) into 1 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.719 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.719 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.719 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.720 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.720 * [taylor]: Taking taylor expansion of re in re 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.720 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.720 * [taylor]: Taking taylor expansion of re in re 8.720 * [backup-simplify]: Simplify 0 into 0 8.720 * [backup-simplify]: Simplify 1 into 1 8.720 * [backup-simplify]: Simplify (/ 1 1) into 1 8.720 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.720 * [taylor]: Taking taylor expansion of im in re 8.720 * [backup-simplify]: Simplify im into im 8.720 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.720 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.720 * [taylor]: Taking taylor expansion of im in re 8.720 * [backup-simplify]: Simplify im into im 8.720 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.720 * [backup-simplify]: Simplify (* 1 1) into 1 8.721 * [backup-simplify]: Simplify (+ 1 0) into 1 8.721 * [backup-simplify]: Simplify (sqrt 1) into 1 8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.722 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.723 * [taylor]: Taking taylor expansion of 1 in im 8.723 * [backup-simplify]: Simplify 1 into 1 8.723 * [taylor]: Taking taylor expansion of 0 in im 8.723 * [backup-simplify]: Simplify 0 into 0 8.723 * [backup-simplify]: Simplify 1 into 1 8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.725 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.725 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.726 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.726 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.726 * [taylor]: Taking taylor expansion of 1/2 in im 8.726 * [backup-simplify]: Simplify 1/2 into 1/2 8.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.726 * [taylor]: Taking taylor expansion of im in im 8.726 * [backup-simplify]: Simplify 0 into 0 8.726 * [backup-simplify]: Simplify 1 into 1 8.726 * [backup-simplify]: Simplify (* 1 1) into 1 8.726 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 0 into 0 8.727 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.729 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.729 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.729 * [backup-simplify]: Simplify (+ 0 0) into 0 8.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.730 * [taylor]: Taking taylor expansion of 0 in im 8.730 * [backup-simplify]: Simplify 0 into 0 8.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.731 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 8.731 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 8.731 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.731 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.732 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.732 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.732 * [taylor]: Taking taylor expansion of -1 in im 8.732 * [backup-simplify]: Simplify -1 into -1 8.732 * [taylor]: Taking taylor expansion of re in im 8.732 * [backup-simplify]: Simplify re into re 8.732 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.732 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.732 * [taylor]: Taking taylor expansion of -1 in im 8.732 * [backup-simplify]: Simplify -1 into -1 8.732 * [taylor]: Taking taylor expansion of re in im 8.732 * [backup-simplify]: Simplify re into re 8.732 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.732 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.732 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.732 * [taylor]: Taking taylor expansion of -1 in im 8.732 * [backup-simplify]: Simplify -1 into -1 8.732 * [taylor]: Taking taylor expansion of im in im 8.732 * [backup-simplify]: Simplify 0 into 0 8.732 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ -1 1) into -1 8.733 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.733 * [taylor]: Taking taylor expansion of -1 in im 8.733 * [backup-simplify]: Simplify -1 into -1 8.733 * [taylor]: Taking taylor expansion of im in im 8.733 * [backup-simplify]: Simplify 0 into 0 8.733 * [backup-simplify]: Simplify 1 into 1 8.733 * [backup-simplify]: Simplify (/ -1 1) into -1 8.734 * [backup-simplify]: Simplify (* -1 -1) into 1 8.734 * [backup-simplify]: Simplify (+ 0 1) into 1 8.735 * [backup-simplify]: Simplify (sqrt 1) into 1 8.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.737 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.737 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.738 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.738 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.738 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.738 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.738 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.738 * [taylor]: Taking taylor expansion of -1 in re 8.738 * [backup-simplify]: Simplify -1 into -1 8.738 * [taylor]: Taking taylor expansion of re in re 8.738 * [backup-simplify]: Simplify 0 into 0 8.738 * [backup-simplify]: Simplify 1 into 1 8.739 * [backup-simplify]: Simplify (/ -1 1) into -1 8.739 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.739 * [taylor]: Taking taylor expansion of -1 in re 8.739 * [backup-simplify]: Simplify -1 into -1 8.739 * [taylor]: Taking taylor expansion of re in re 8.739 * [backup-simplify]: Simplify 0 into 0 8.739 * [backup-simplify]: Simplify 1 into 1 8.739 * [backup-simplify]: Simplify (/ -1 1) into -1 8.739 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.739 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.739 * [taylor]: Taking taylor expansion of -1 in re 8.739 * [backup-simplify]: Simplify -1 into -1 8.739 * [taylor]: Taking taylor expansion of im in re 8.739 * [backup-simplify]: Simplify im into im 8.740 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.740 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.740 * [taylor]: Taking taylor expansion of -1 in re 8.740 * [backup-simplify]: Simplify -1 into -1 8.740 * [taylor]: Taking taylor expansion of im in re 8.740 * [backup-simplify]: Simplify im into im 8.740 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.740 * [backup-simplify]: Simplify (* -1 -1) into 1 8.741 * [backup-simplify]: Simplify (+ 1 0) into 1 8.741 * [backup-simplify]: Simplify (sqrt 1) into 1 8.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.743 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.744 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.745 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.745 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.745 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.745 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.745 * [taylor]: Taking taylor expansion of -1 in re 8.745 * [backup-simplify]: Simplify -1 into -1 8.745 * [taylor]: Taking taylor expansion of re in re 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.745 * [backup-simplify]: Simplify (/ -1 1) into -1 8.745 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.745 * [taylor]: Taking taylor expansion of -1 in re 8.745 * [backup-simplify]: Simplify -1 into -1 8.745 * [taylor]: Taking taylor expansion of re in re 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [backup-simplify]: Simplify 1 into 1 8.746 * [backup-simplify]: Simplify (/ -1 1) into -1 8.746 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.746 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.746 * [taylor]: Taking taylor expansion of -1 in re 8.746 * [backup-simplify]: Simplify -1 into -1 8.746 * [taylor]: Taking taylor expansion of im in re 8.746 * [backup-simplify]: Simplify im into im 8.746 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.746 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.746 * [taylor]: Taking taylor expansion of -1 in re 8.746 * [backup-simplify]: Simplify -1 into -1 8.746 * [taylor]: Taking taylor expansion of im in re 8.746 * [backup-simplify]: Simplify im into im 8.746 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.746 * [backup-simplify]: Simplify (* -1 -1) into 1 8.747 * [backup-simplify]: Simplify (+ 1 0) into 1 8.747 * [backup-simplify]: Simplify (sqrt 1) into 1 8.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.748 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.748 * [backup-simplify]: Simplify (+ 0 0) into 0 8.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.749 * [taylor]: Taking taylor expansion of 1 in im 8.749 * [backup-simplify]: Simplify 1 into 1 8.749 * [taylor]: Taking taylor expansion of 0 in im 8.749 * [backup-simplify]: Simplify 0 into 0 8.749 * [backup-simplify]: Simplify 1 into 1 8.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.751 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.751 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.751 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.752 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.752 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.752 * [taylor]: Taking taylor expansion of 1/2 in im 8.752 * [backup-simplify]: Simplify 1/2 into 1/2 8.752 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.752 * [taylor]: Taking taylor expansion of im in im 8.752 * [backup-simplify]: Simplify 0 into 0 8.752 * [backup-simplify]: Simplify 1 into 1 8.752 * [backup-simplify]: Simplify (* 1 1) into 1 8.752 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.755 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.755 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.755 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.755 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.756 * [backup-simplify]: Simplify (+ 0 0) into 0 8.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.756 * [taylor]: Taking taylor expansion of 0 in im 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.757 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 8.757 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 8.757 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 8.757 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.757 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.757 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.757 * [taylor]: Taking taylor expansion of (* re re) in im 8.757 * [taylor]: Taking taylor expansion of re in im 8.757 * [backup-simplify]: Simplify re into re 8.757 * [taylor]: Taking taylor expansion of re in im 8.757 * [backup-simplify]: Simplify re into re 8.757 * [taylor]: Taking taylor expansion of (* im im) in im 8.757 * [taylor]: Taking taylor expansion of im in im 8.757 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [taylor]: Taking taylor expansion of im in im 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.758 * [backup-simplify]: Simplify (* 0 0) into 0 8.758 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.758 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.758 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.758 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.759 * [backup-simplify]: Simplify (+ 0 0) into 0 8.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.759 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.759 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.759 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.759 * [taylor]: Taking taylor expansion of (* re re) in re 8.759 * [taylor]: Taking taylor expansion of re in re 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of re in re 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [taylor]: Taking taylor expansion of (* im im) in re 8.759 * [taylor]: Taking taylor expansion of im in re 8.759 * [backup-simplify]: Simplify im into im 8.759 * [taylor]: Taking taylor expansion of im in re 8.759 * [backup-simplify]: Simplify im into im 8.759 * [backup-simplify]: Simplify (* 0 0) into 0 8.759 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.759 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.759 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.760 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.760 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.760 * [backup-simplify]: Simplify (+ 0 0) into 0 8.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.760 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.760 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.760 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.760 * [taylor]: Taking taylor expansion of (* re re) in re 8.760 * [taylor]: Taking taylor expansion of re in re 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [taylor]: Taking taylor expansion of re in re 8.760 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify 1 into 1 8.760 * [taylor]: Taking taylor expansion of (* im im) in re 8.760 * [taylor]: Taking taylor expansion of im in re 8.760 * [backup-simplify]: Simplify im into im 8.760 * [taylor]: Taking taylor expansion of im in re 8.760 * [backup-simplify]: Simplify im into im 8.761 * [backup-simplify]: Simplify (* 0 0) into 0 8.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.761 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.761 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.761 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.761 * [taylor]: Taking taylor expansion of im in im 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 1 into 1 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [taylor]: Taking taylor expansion of 0 in im 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [backup-simplify]: Simplify 1 into 1 8.762 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.762 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.763 * [backup-simplify]: Simplify (+ 1 0) into 1 8.763 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.763 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.763 * [taylor]: Taking taylor expansion of 1/2 in im 8.763 * [backup-simplify]: Simplify 1/2 into 1/2 8.763 * [taylor]: Taking taylor expansion of im in im 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.765 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.765 * [backup-simplify]: Simplify (+ 0 0) into 0 8.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.765 * [taylor]: Taking taylor expansion of 0 in im 8.765 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.766 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 8.766 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 8.766 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.766 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.766 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.766 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.766 * [taylor]: Taking taylor expansion of re in im 8.766 * [backup-simplify]: Simplify re into re 8.766 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.766 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.766 * [taylor]: Taking taylor expansion of re in im 8.766 * [backup-simplify]: Simplify re into re 8.767 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.767 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.767 * [taylor]: Taking taylor expansion of im in im 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.767 * [backup-simplify]: Simplify (/ 1 1) into 1 8.767 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.767 * [taylor]: Taking taylor expansion of im in im 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.767 * [backup-simplify]: Simplify (/ 1 1) into 1 8.767 * [backup-simplify]: Simplify (* 1 1) into 1 8.768 * [backup-simplify]: Simplify (+ 0 1) into 1 8.768 * [backup-simplify]: Simplify (sqrt 1) into 1 8.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.769 * [backup-simplify]: Simplify (+ 0 0) into 0 8.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.770 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.770 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.770 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.770 * [taylor]: Taking taylor expansion of re in re 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 1 into 1 8.770 * [backup-simplify]: Simplify (/ 1 1) into 1 8.770 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.770 * [taylor]: Taking taylor expansion of re in re 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [backup-simplify]: Simplify 1 into 1 8.770 * [backup-simplify]: Simplify (/ 1 1) into 1 8.770 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.770 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.770 * [taylor]: Taking taylor expansion of im in re 8.770 * [backup-simplify]: Simplify im into im 8.771 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.771 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.771 * [taylor]: Taking taylor expansion of im in re 8.771 * [backup-simplify]: Simplify im into im 8.771 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.771 * [backup-simplify]: Simplify (* 1 1) into 1 8.771 * [backup-simplify]: Simplify (+ 1 0) into 1 8.771 * [backup-simplify]: Simplify (sqrt 1) into 1 8.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.773 * [backup-simplify]: Simplify (+ 0 0) into 0 8.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.773 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.773 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.773 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.773 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.773 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.773 * [taylor]: Taking taylor expansion of re in re 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.774 * [backup-simplify]: Simplify (/ 1 1) into 1 8.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.774 * [taylor]: Taking taylor expansion of re in re 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify 1 into 1 8.774 * [backup-simplify]: Simplify (/ 1 1) into 1 8.774 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.774 * [taylor]: Taking taylor expansion of im in re 8.774 * [backup-simplify]: Simplify im into im 8.774 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.774 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.774 * [taylor]: Taking taylor expansion of im in re 8.774 * [backup-simplify]: Simplify im into im 8.774 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.774 * [backup-simplify]: Simplify (* 1 1) into 1 8.775 * [backup-simplify]: Simplify (+ 1 0) into 1 8.775 * [backup-simplify]: Simplify (sqrt 1) into 1 8.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.783 * [backup-simplify]: Simplify (+ 0 0) into 0 8.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.784 * [taylor]: Taking taylor expansion of 1 in im 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [taylor]: Taking taylor expansion of 0 in im 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.787 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.787 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.788 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.788 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.788 * [taylor]: Taking taylor expansion of 1/2 in im 8.788 * [backup-simplify]: Simplify 1/2 into 1/2 8.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.788 * [taylor]: Taking taylor expansion of im in im 8.788 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (* 1 1) into 1 8.789 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.794 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.794 * [backup-simplify]: Simplify (+ 0 0) into 0 8.795 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.795 * [taylor]: Taking taylor expansion of 0 in im 8.795 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.797 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 8.797 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 8.797 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.797 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.797 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.797 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.797 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.797 * [taylor]: Taking taylor expansion of -1 in im 8.797 * [backup-simplify]: Simplify -1 into -1 8.798 * [taylor]: Taking taylor expansion of re in im 8.798 * [backup-simplify]: Simplify re into re 8.798 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.798 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.798 * [taylor]: Taking taylor expansion of -1 in im 8.798 * [backup-simplify]: Simplify -1 into -1 8.798 * [taylor]: Taking taylor expansion of re in im 8.798 * [backup-simplify]: Simplify re into re 8.798 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.798 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.798 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.798 * [taylor]: Taking taylor expansion of -1 in im 8.798 * [backup-simplify]: Simplify -1 into -1 8.798 * [taylor]: Taking taylor expansion of im in im 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify 1 into 1 8.798 * [backup-simplify]: Simplify (/ -1 1) into -1 8.798 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.798 * [taylor]: Taking taylor expansion of -1 in im 8.798 * [backup-simplify]: Simplify -1 into -1 8.799 * [taylor]: Taking taylor expansion of im in im 8.799 * [backup-simplify]: Simplify 0 into 0 8.799 * [backup-simplify]: Simplify 1 into 1 8.799 * [backup-simplify]: Simplify (/ -1 1) into -1 8.799 * [backup-simplify]: Simplify (* -1 -1) into 1 8.800 * [backup-simplify]: Simplify (+ 0 1) into 1 8.800 * [backup-simplify]: Simplify (sqrt 1) into 1 8.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.802 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.803 * [backup-simplify]: Simplify (+ 0 0) into 0 8.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.803 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.803 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.803 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.804 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.804 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.804 * [taylor]: Taking taylor expansion of -1 in re 8.804 * [backup-simplify]: Simplify -1 into -1 8.804 * [taylor]: Taking taylor expansion of re in re 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.804 * [backup-simplify]: Simplify (/ -1 1) into -1 8.804 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.804 * [taylor]: Taking taylor expansion of -1 in re 8.804 * [backup-simplify]: Simplify -1 into -1 8.804 * [taylor]: Taking taylor expansion of re in re 8.804 * [backup-simplify]: Simplify 0 into 0 8.804 * [backup-simplify]: Simplify 1 into 1 8.805 * [backup-simplify]: Simplify (/ -1 1) into -1 8.805 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.805 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.805 * [taylor]: Taking taylor expansion of -1 in re 8.805 * [backup-simplify]: Simplify -1 into -1 8.805 * [taylor]: Taking taylor expansion of im in re 8.805 * [backup-simplify]: Simplify im into im 8.805 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.805 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.805 * [taylor]: Taking taylor expansion of -1 in re 8.805 * [backup-simplify]: Simplify -1 into -1 8.805 * [taylor]: Taking taylor expansion of im in re 8.805 * [backup-simplify]: Simplify im into im 8.805 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.806 * [backup-simplify]: Simplify (* -1 -1) into 1 8.806 * [backup-simplify]: Simplify (+ 1 0) into 1 8.807 * [backup-simplify]: Simplify (sqrt 1) into 1 8.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.809 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.810 * [backup-simplify]: Simplify (+ 0 0) into 0 8.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.810 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.811 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.811 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.811 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.811 * [taylor]: Taking taylor expansion of -1 in re 8.811 * [backup-simplify]: Simplify -1 into -1 8.811 * [taylor]: Taking taylor expansion of re in re 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.811 * [backup-simplify]: Simplify (/ -1 1) into -1 8.811 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.811 * [taylor]: Taking taylor expansion of -1 in re 8.811 * [backup-simplify]: Simplify -1 into -1 8.811 * [taylor]: Taking taylor expansion of re in re 8.811 * [backup-simplify]: Simplify 0 into 0 8.811 * [backup-simplify]: Simplify 1 into 1 8.812 * [backup-simplify]: Simplify (/ -1 1) into -1 8.812 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.812 * [taylor]: Taking taylor expansion of -1 in re 8.812 * [backup-simplify]: Simplify -1 into -1 8.812 * [taylor]: Taking taylor expansion of im in re 8.812 * [backup-simplify]: Simplify im into im 8.812 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.812 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.812 * [taylor]: Taking taylor expansion of -1 in re 8.812 * [backup-simplify]: Simplify -1 into -1 8.812 * [taylor]: Taking taylor expansion of im in re 8.812 * [backup-simplify]: Simplify im into im 8.812 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.813 * [backup-simplify]: Simplify (* -1 -1) into 1 8.813 * [backup-simplify]: Simplify (+ 1 0) into 1 8.813 * [backup-simplify]: Simplify (sqrt 1) into 1 8.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.815 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.815 * [backup-simplify]: Simplify (+ 0 0) into 0 8.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.816 * [taylor]: Taking taylor expansion of 1 in im 8.816 * [backup-simplify]: Simplify 1 into 1 8.816 * [taylor]: Taking taylor expansion of 0 in im 8.816 * [backup-simplify]: Simplify 0 into 0 8.816 * [backup-simplify]: Simplify 1 into 1 8.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.818 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.818 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.818 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.819 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.819 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.819 * [taylor]: Taking taylor expansion of 1/2 in im 8.819 * [backup-simplify]: Simplify 1/2 into 1/2 8.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.819 * [taylor]: Taking taylor expansion of im in im 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.819 * [backup-simplify]: Simplify (* 1 1) into 1 8.819 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 0 into 0 8.820 * [backup-simplify]: Simplify 0 into 0 8.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.822 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.822 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.822 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.822 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.822 * [backup-simplify]: Simplify (+ 0 0) into 0 8.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.823 * [taylor]: Taking taylor expansion of 0 in im 8.823 * [backup-simplify]: Simplify 0 into 0 8.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify 0 into 0 8.824 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.824 * * * [progress]: simplifying candidates 8.824 * * * * [progress]: [ 1 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 2 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 3 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 4 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 5 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 6 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 7 / 59 ] simplifiying candidate # 8.824 * * * * [progress]: [ 8 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 9 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 10 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 11 / 59 ] simplifiying candidate #real (real->posit16 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))> 8.825 * * * * [progress]: [ 12 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 13 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 14 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 15 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 16 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 17 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 18 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 19 / 59 ] simplifiying candidate # 8.825 * * * * [progress]: [ 20 / 59 ] simplifiying candidate # 8.825 * [simplify]: Simplifying (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) 8.825 * * [simplify]: iters left: 4 (6 enodes) 8.826 * * [simplify]: iters left: 3 (20 enodes) 8.829 * * [simplify]: Extracting #0: cost 1 inf + 0 8.829 * * [simplify]: Extracting #1: cost 3 inf + 0 8.829 * * [simplify]: Extracting #2: cost 7 inf + 0 8.829 * * [simplify]: Extracting #3: cost 9 inf + 1 8.829 * * [simplify]: Extracting #4: cost 8 inf + 2 8.829 * * [simplify]: Extracting #5: cost 1 inf + 641 8.829 * * [simplify]: Extracting #6: cost 0 inf + 778 8.829 * [simplify]: Simplified to (sqrt (+ (hypot re im) re)) 8.829 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))) 8.829 * * * * [progress]: [ 21 / 59 ] simplifiying candidate # 8.830 * [simplify]: Simplifying (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0) 8.830 * * [simplify]: iters left: 5 (7 enodes) 8.832 * * [simplify]: iters left: 4 (24 enodes) 8.835 * * [simplify]: iters left: 3 (30 enodes) 8.840 * * [simplify]: iters left: 2 (47 enodes) 8.847 * * [simplify]: iters left: 1 (57 enodes) 8.860 * * [simplify]: Extracting #0: cost 1 inf + 0 8.861 * * [simplify]: Extracting #1: cost 10 inf + 0 8.861 * * [simplify]: Extracting #2: cost 15 inf + 2 8.861 * * [simplify]: Extracting #3: cost 12 inf + 87 8.861 * * [simplify]: Extracting #4: cost 2 inf + 1061 8.862 * * [simplify]: Extracting #5: cost 1 inf + 1199 8.863 * * [simplify]: Extracting #6: cost 0 inf + 1337 8.863 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 8.863 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 8.863 * * * * [progress]: [ 22 / 59 ] simplifiying candidate # 8.864 * [simplify]: Simplifying (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0) 8.864 * * [simplify]: iters left: 5 (7 enodes) 8.867 * * [simplify]: iters left: 4 (24 enodes) 8.875 * * [simplify]: iters left: 3 (30 enodes) 8.885 * * [simplify]: iters left: 2 (47 enodes) 8.897 * * [simplify]: iters left: 1 (57 enodes) 8.908 * * [simplify]: Extracting #0: cost 1 inf + 0 8.908 * * [simplify]: Extracting #1: cost 10 inf + 0 8.908 * * [simplify]: Extracting #2: cost 15 inf + 2 8.908 * * [simplify]: Extracting #3: cost 12 inf + 87 8.908 * * [simplify]: Extracting #4: cost 2 inf + 1061 8.908 * * [simplify]: Extracting #5: cost 1 inf + 1199 8.909 * * [simplify]: Extracting #6: cost 0 inf + 1337 8.909 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 8.909 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 8.909 * * * * [progress]: [ 23 / 59 ] simplifiying candidate # 8.909 * * * * [progress]: [ 24 / 59 ] simplifiying candidate # 8.909 * * * * [progress]: [ 25 / 59 ] simplifiying candidate #real (real->posit16 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))))> 8.909 * * * * [progress]: [ 26 / 59 ] simplifiying candidate # 8.909 * * * * [progress]: [ 27 / 59 ] simplifiying candidate # 8.909 * * * * [progress]: [ 28 / 59 ] simplifiying candidate # 8.909 * * * * [progress]: [ 29 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 30 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 31 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 32 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 33 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 34 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 35 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 36 / 59 ] simplifiying candidate #real (real->posit16 (hypot re im)))) re) 2.0))))> 8.910 * * * * [progress]: [ 37 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 38 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 39 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 40 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 41 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 42 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 43 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 44 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 45 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 46 / 59 ] simplifiying candidate # 8.910 * * * * [progress]: [ 47 / 59 ] simplifiying candidate #real (real->posit16 (hypot re im)))) (sqrt (hypot re im)) re) 2.0))))> 8.910 * * * * [progress]: [ 48 / 59 ] simplifiying candidate # 8.910 * [simplify]: Simplifying (+ re im) 8.910 * * [simplify]: iters left: 2 (3 enodes) 8.911 * * [simplify]: iters left: 1 (10 enodes) 8.912 * * [simplify]: Extracting #0: cost 1 inf + 0 8.912 * * [simplify]: Extracting #1: cost 4 inf + 0 8.912 * * [simplify]: Extracting #2: cost 2 inf + 2 8.912 * * [simplify]: Extracting #3: cost 0 inf + 86 8.912 * [simplify]: Simplified to (+ im re) 8.912 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 8.912 * * * * [progress]: [ 49 / 59 ] simplifiying candidate # 8.913 * [simplify]: Simplifying (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 8.913 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* +nan.0 2.0)))) 8.913 * * * * [progress]: [ 50 / 59 ] simplifiying candidate # 8.913 * [simplify]: Simplifying (- re (+ (* +nan.0 (/ (pow im 2) (pow re 2))) (- +nan.0))) 8.913 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* +nan.0 2.0)))) 8.913 * * * * [progress]: [ 51 / 59 ] simplifiying candidate # 8.913 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 8.913 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 8.913 * * * * [progress]: [ 52 / 59 ] simplifiying candidate # 8.913 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 8.913 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 8.913 * * * * [progress]: [ 53 / 59 ] simplifiying candidate # 8.914 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 8.914 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 8.914 * * * * [progress]: [ 54 / 59 ] simplifiying candidate # 8.914 * [simplify]: Simplifying im 8.914 * * [simplify]: iters left: 0 (1 enodes) 8.914 * * [simplify]: Extracting #0: cost 1 inf + 0 8.914 * * [simplify]: Extracting #1: cost 0 inf + 1 8.914 * [simplify]: Simplified to im 8.914 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt im) re) 2.0)))) 8.914 * * * * [progress]: [ 55 / 59 ] simplifiying candidate # 8.914 * [simplify]: Simplifying re 8.914 * * [simplify]: iters left: 0 (1 enodes) 8.915 * * [simplify]: Extracting #0: cost 1 inf + 0 8.915 * * [simplify]: Extracting #1: cost 0 inf + 1 8.915 * [simplify]: Simplified to re 8.915 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt re) re) 2.0)))) 8.915 * * * * [progress]: [ 56 / 59 ] simplifiying candidate # 8.915 * [simplify]: Simplifying (* -1 re) 8.915 * * [simplify]: iters left: 2 (3 enodes) 8.916 * * [simplify]: iters left: 1 (11 enodes) 8.917 * * [simplify]: Extracting #0: cost 1 inf + 0 8.918 * * [simplify]: Extracting #1: cost 4 inf + 0 8.918 * * [simplify]: Extracting #2: cost 0 inf + 84 8.918 * [simplify]: Simplified to (- re) 8.918 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (- re)) re) 2.0)))) 8.918 * * * * [progress]: [ 57 / 59 ] simplifiying candidate # 8.918 * [simplify]: Simplifying im 8.918 * * [simplify]: iters left: 0 (1 enodes) 8.918 * * [simplify]: Extracting #0: cost 1 inf + 0 8.918 * * [simplify]: Extracting #1: cost 0 inf + 1 8.918 * [simplify]: Simplified to im 8.918 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt im) (sqrt (hypot re im)) re) 2.0)))) 8.918 * * * * [progress]: [ 58 / 59 ] simplifiying candidate # 8.918 * [simplify]: Simplifying re 8.918 * * [simplify]: iters left: 0 (1 enodes) 8.919 * * [simplify]: Extracting #0: cost 1 inf + 0 8.919 * * [simplify]: Extracting #1: cost 0 inf + 1 8.919 * [simplify]: Simplified to re 8.919 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt re) (sqrt (hypot re im)) re) 2.0)))) 8.919 * * * * [progress]: [ 59 / 59 ] simplifiying candidate # 8.919 * [simplify]: Simplifying (* -1 re) 8.919 * * [simplify]: iters left: 2 (3 enodes) 8.920 * * [simplify]: iters left: 1 (11 enodes) 8.922 * * [simplify]: Extracting #0: cost 1 inf + 0 8.922 * * [simplify]: Extracting #1: cost 4 inf + 0 8.922 * * [simplify]: Extracting #2: cost 0 inf + 84 8.922 * [simplify]: Simplified to (- re) 8.922 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (- re)) (sqrt (hypot re im)) re) 2.0)))) 8.922 * * * [progress]: adding candidates to table 9.547 * [progress]: [Phase 3 of 3] Extracting. 9.547 * * [regime]: Finding splitpoints for: (# # # # #real (real->posit16 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))))> # # # # # # # # # # #real (real->posit16 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))>) 9.550 * * * [regime-changes]: Trying 2 branch expressions: (im re) 9.550 * * * * [regimes]: Trying to branch on im from (# # # # #real (real->posit16 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))))> # # # # # # # # # # #real (real->posit16 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))>) 9.664 * * * * [regimes]: Trying to branch on re from (# # # # #real (real->posit16 (sqrt (* (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re) 2.0))))))> # # # # # # # # # # #real (real->posit16 (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0))))>) 9.783 * * * [regime]: Found split indices: #