0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.088 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.088 * * [simplify]: iters left: 6 (12 enodes) 0.094 * * [simplify]: iters left: 5 (48 enodes) 0.109 * * [simplify]: iters left: 4 (62 enodes) 0.124 * * [simplify]: iters left: 3 (64 enodes) 0.139 * * [simplify]: Extracting #0: cost 1 inf + 0 0.139 * * [simplify]: Extracting #1: cost 4 inf + 0 0.139 * * [simplify]: Extracting #2: cost 5 inf + 1 0.139 * * [simplify]: Extracting #3: cost 12 inf + 1 0.140 * * [simplify]: Extracting #4: cost 15 inf + 45 0.140 * * [simplify]: Extracting #5: cost 14 inf + 298 0.140 * * [simplify]: Extracting #6: cost 7 inf + 1295 0.141 * * [simplify]: Extracting #7: cost 0 inf + 2035 0.142 * * [simplify]: Extracting #8: cost 0 inf + 2020 0.143 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.143 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))) 0.170 * * [progress]: iteration 1 / 4 0.170 * * * [progress]: picking best candidate 0.175 * * * * [pick]: Picked # 0.175 * * * [progress]: localizing error 0.189 * * * [progress]: generating rewritten candidates 0.189 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 0.194 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.206 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 0.207 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.207 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.207 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.208 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.208 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.208 * [taylor]: Taking taylor expansion of (* re re) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [backup-simplify]: Simplify re into re 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [backup-simplify]: Simplify re into re 0.208 * [taylor]: Taking taylor expansion of (* im im) in im 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [taylor]: Taking taylor expansion of im in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.208 * [backup-simplify]: Simplify (* 0 0) into 0 0.209 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.209 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.209 * [taylor]: Taking taylor expansion of re in im 0.209 * [backup-simplify]: Simplify re into re 0.209 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.209 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.209 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.210 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.210 * [taylor]: Taking taylor expansion of (* re re) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of (* im im) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [backup-simplify]: Simplify im into im 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [backup-simplify]: Simplify im into im 0.210 * [backup-simplify]: Simplify (* 0 0) into 0 0.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.210 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.210 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.210 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.211 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.211 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.211 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.211 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.211 * [taylor]: Taking taylor expansion of (* re re) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [taylor]: Taking taylor expansion of (* im im) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [backup-simplify]: Simplify (* 0 0) into 0 0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.212 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.212 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.212 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ im 0) into im 0.212 * [taylor]: Taking taylor expansion of im in im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ 0 1) into 1 0.213 * [taylor]: Taking taylor expansion of 1 in im 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.214 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.214 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.214 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.214 * [taylor]: Taking taylor expansion of 1/2 in im 0.214 * [backup-simplify]: Simplify 1/2 into 1/2 0.214 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.219 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.219 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.219 * [taylor]: Taking taylor expansion of re in im 0.219 * [backup-simplify]: Simplify re into re 0.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.219 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.219 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.219 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.219 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.219 * [taylor]: Taking taylor expansion of re in im 0.219 * [backup-simplify]: Simplify re into re 0.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.219 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.219 * [taylor]: Taking taylor expansion of re in im 0.219 * [backup-simplify]: Simplify re into re 0.219 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.219 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.219 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.220 * [taylor]: Taking taylor expansion of im in im 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (+ 0 1) into 1 0.221 * [backup-simplify]: Simplify (sqrt 1) into 1 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.223 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.223 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.223 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.223 * [taylor]: Taking taylor expansion of re in re 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [backup-simplify]: Simplify im into im 0.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.224 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [backup-simplify]: Simplify im into im 0.224 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [backup-simplify]: Simplify (sqrt 1) into 1 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.226 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.226 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.227 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.227 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.227 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.227 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [backup-simplify]: Simplify im into im 0.227 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.228 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [backup-simplify]: Simplify im into im 0.228 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (+ 1 0) into 1 0.228 * [backup-simplify]: Simplify (sqrt 1) into 1 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.230 * [backup-simplify]: Simplify (+ 1 1) into 2 0.230 * [taylor]: Taking taylor expansion of 2 in im 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [taylor]: Taking taylor expansion of 0 in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 2 into 2 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.234 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.234 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.234 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.234 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.234 * [taylor]: Taking taylor expansion of 1/2 in im 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.235 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.242 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.242 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.242 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.242 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.242 * [taylor]: Taking taylor expansion of -1 in im 0.242 * [backup-simplify]: Simplify -1 into -1 0.242 * [taylor]: Taking taylor expansion of re in im 0.242 * [backup-simplify]: Simplify re into re 0.242 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.242 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.242 * [taylor]: Taking taylor expansion of -1 in im 0.242 * [backup-simplify]: Simplify -1 into -1 0.242 * [taylor]: Taking taylor expansion of re in im 0.242 * [backup-simplify]: Simplify re into re 0.242 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.243 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.243 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.243 * [taylor]: Taking taylor expansion of -1 in im 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of im in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ -1 1) into -1 0.243 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.243 * [taylor]: Taking taylor expansion of -1 in im 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of im in im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ -1 1) into -1 0.244 * [backup-simplify]: Simplify (* -1 -1) into 1 0.245 * [backup-simplify]: Simplify (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.249 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.249 * [taylor]: Taking taylor expansion of re in im 0.249 * [backup-simplify]: Simplify re into re 0.249 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.249 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.249 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.249 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.249 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.249 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.249 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.249 * [taylor]: Taking taylor expansion of -1 in re 0.250 * [backup-simplify]: Simplify -1 into -1 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ -1 1) into -1 0.250 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.250 * [taylor]: Taking taylor expansion of -1 in re 0.250 * [backup-simplify]: Simplify -1 into -1 0.250 * [taylor]: Taking taylor expansion of re in re 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ -1 1) into -1 0.251 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.251 * [taylor]: Taking taylor expansion of -1 in re 0.251 * [backup-simplify]: Simplify -1 into -1 0.251 * [taylor]: Taking taylor expansion of im in re 0.251 * [backup-simplify]: Simplify im into im 0.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.251 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.251 * [taylor]: Taking taylor expansion of -1 in re 0.251 * [backup-simplify]: Simplify -1 into -1 0.251 * [taylor]: Taking taylor expansion of im in re 0.251 * [backup-simplify]: Simplify im into im 0.251 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.252 * [backup-simplify]: Simplify (* -1 -1) into 1 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (sqrt 1) into 1 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.256 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.256 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.256 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.256 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.257 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [backup-simplify]: Simplify -1 into -1 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ -1 1) into -1 0.257 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.257 * [taylor]: Taking taylor expansion of -1 in re 0.257 * [backup-simplify]: Simplify -1 into -1 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (/ -1 1) into -1 0.258 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [backup-simplify]: Simplify im into im 0.258 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.258 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.258 * [taylor]: Taking taylor expansion of -1 in re 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [backup-simplify]: Simplify im into im 0.258 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.259 * [backup-simplify]: Simplify (* -1 -1) into 1 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.270 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.270 * [taylor]: Taking taylor expansion of re in re 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.272 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.272 * [taylor]: Taking taylor expansion of 0 in im 0.272 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in im 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.277 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.279 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.279 * [taylor]: Taking taylor expansion of 1/2 in im 0.280 * [backup-simplify]: Simplify 1/2 into 1/2 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.280 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.280 * [taylor]: Taking taylor expansion of im in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (* 1 1) into 1 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.292 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.292 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 0.293 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.293 * [taylor]: Taking taylor expansion of 2.0 in im 0.293 * [backup-simplify]: Simplify 2.0 into 2.0 0.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.294 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.294 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.294 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.294 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.294 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.294 * [taylor]: Taking taylor expansion of (* re re) in im 0.294 * [taylor]: Taking taylor expansion of re in im 0.294 * [backup-simplify]: Simplify re into re 0.294 * [taylor]: Taking taylor expansion of re in im 0.294 * [backup-simplify]: Simplify re into re 0.294 * [taylor]: Taking taylor expansion of (* im im) in im 0.294 * [taylor]: Taking taylor expansion of im in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of im in im 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.295 * [backup-simplify]: Simplify (* 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.295 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.295 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.296 * [taylor]: Taking taylor expansion of re in im 0.296 * [backup-simplify]: Simplify re into re 0.296 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.296 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.297 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.297 * [taylor]: Taking taylor expansion of 2.0 in re 0.297 * [backup-simplify]: Simplify 2.0 into 2.0 0.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.298 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.298 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.298 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.298 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.298 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.298 * [taylor]: Taking taylor expansion of (* re re) in re 0.298 * [taylor]: Taking taylor expansion of re in re 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of re in re 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of (* im im) in re 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [backup-simplify]: Simplify im into im 0.299 * [taylor]: Taking taylor expansion of im in re 0.299 * [backup-simplify]: Simplify im into im 0.299 * [backup-simplify]: Simplify (* 0 0) into 0 0.299 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.299 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.299 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.300 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.300 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.300 * [taylor]: Taking taylor expansion of re in re 0.300 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (+ im 0) into im 0.301 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.301 * [backup-simplify]: Simplify (+ 0 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.301 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.301 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.301 * [taylor]: Taking taylor expansion of 2.0 in re 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [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 (+ (hypot re im) re)) in re 0.302 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.302 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.302 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.303 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.303 * [taylor]: Taking taylor expansion of (* re re) in re 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of re in re 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (* im im) in re 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [backup-simplify]: Simplify (* 0 0) into 0 0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.303 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.303 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.304 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.305 * [taylor]: Taking taylor expansion of re in re 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (+ im 0) into im 0.305 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.305 * [backup-simplify]: Simplify (+ 0 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.306 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.306 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.306 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.306 * [taylor]: Taking taylor expansion of 2.0 in im 0.306 * [backup-simplify]: Simplify 2.0 into 2.0 0.306 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.307 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.307 * [taylor]: Taking taylor expansion of im in im 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (sqrt 0) into 0 0.309 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.310 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.310 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.310 * [taylor]: Taking taylor expansion of 1/2 in im 0.310 * [backup-simplify]: Simplify 1/2 into 1/2 0.310 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.311 * [taylor]: Taking taylor expansion of 2.0 in im 0.311 * [backup-simplify]: Simplify 2.0 into 2.0 0.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.312 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.312 * [taylor]: Taking taylor expansion of im in im 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (sqrt 0) into 0 0.314 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.316 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.322 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.324 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.325 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.326 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.327 * [backup-simplify]: Simplify (+ 1 0) into 1 0.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.328 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.328 * [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)))) 0.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.330 * [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))))) 0.330 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.330 * [taylor]: Taking taylor expansion of 1/8 in im 0.330 * [backup-simplify]: Simplify 1/8 into 1/8 0.330 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.330 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.330 * [taylor]: Taking taylor expansion of 2.0 in im 0.330 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.332 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.332 * [taylor]: Taking taylor expansion of im in im 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (* 1 1) into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (sqrt 0) into 0 0.335 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.342 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.346 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.347 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.354 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.359 * [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))))))) 0.359 * [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))))) 0.359 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.359 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.359 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.359 * [taylor]: Taking taylor expansion of 2.0 in im 0.359 * [backup-simplify]: Simplify 2.0 into 2.0 0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.360 * [taylor]: Taking taylor expansion of re in im 0.360 * [backup-simplify]: Simplify re into re 0.360 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.360 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.360 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.360 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.360 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.360 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [backup-simplify]: Simplify re into re 0.361 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.361 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.361 * [taylor]: Taking taylor expansion of re in im 0.361 * [backup-simplify]: Simplify re into re 0.361 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.361 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.361 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.361 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.361 * [taylor]: Taking taylor expansion of im in im 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 1 into 1 0.362 * [backup-simplify]: Simplify (/ 1 1) into 1 0.362 * [backup-simplify]: Simplify (* 1 1) into 1 0.362 * [backup-simplify]: Simplify (+ 0 1) into 1 0.363 * [backup-simplify]: Simplify (sqrt 1) into 1 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 1) into 1 0.367 * [backup-simplify]: Simplify (sqrt 0) into 0 0.368 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.368 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.368 * [taylor]: Taking taylor expansion of 2.0 in re 0.368 * [backup-simplify]: Simplify 2.0 into 2.0 0.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.369 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.369 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.369 * [taylor]: Taking taylor expansion of re in re 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.370 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.370 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.370 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.370 * [taylor]: Taking taylor expansion of re in re 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.370 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [backup-simplify]: Simplify im into im 0.370 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.370 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.370 * [taylor]: Taking taylor expansion of im in re 0.370 * [backup-simplify]: Simplify im into im 0.370 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.373 * [backup-simplify]: Simplify (+ 1 1) into 2 0.373 * [backup-simplify]: Simplify (sqrt 0) into 0 0.374 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.374 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.374 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.374 * [taylor]: Taking taylor expansion of 2.0 in re 0.374 * [backup-simplify]: Simplify 2.0 into 2.0 0.374 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.375 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.375 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.375 * [backup-simplify]: Simplify (/ 1 1) into 1 0.375 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.375 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.375 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.375 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.376 * [taylor]: Taking taylor expansion of re in re 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.376 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.376 * [taylor]: Taking taylor expansion of im in re 0.376 * [backup-simplify]: Simplify im into im 0.376 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.376 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.376 * [taylor]: Taking taylor expansion of im in re 0.376 * [backup-simplify]: Simplify im into im 0.376 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.377 * [backup-simplify]: Simplify (+ 1 0) into 1 0.377 * [backup-simplify]: Simplify (sqrt 1) into 1 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.379 * [backup-simplify]: Simplify (+ 1 1) into 2 0.379 * [backup-simplify]: Simplify (sqrt 0) into 0 0.380 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.380 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.380 * [taylor]: Taking taylor expansion of 0 in im 0.380 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.382 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.382 * [taylor]: Taking taylor expansion of +nan.0 in im 0.382 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.382 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.382 * [taylor]: Taking taylor expansion of 2.0 in im 0.382 * [backup-simplify]: Simplify 2.0 into 2.0 0.382 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.385 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.387 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.387 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.387 * [taylor]: Taking taylor expansion of +nan.0 in im 0.387 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.387 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.387 * [taylor]: Taking taylor expansion of 2.0 in im 0.387 * [backup-simplify]: Simplify 2.0 into 2.0 0.387 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.388 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.389 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.390 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.390 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.393 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.400 * [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)) 0.401 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.402 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 0.402 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.402 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.403 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.403 * [taylor]: Taking taylor expansion of +nan.0 in im 0.403 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.403 * [taylor]: Taking taylor expansion of 2.0 in im 0.403 * [backup-simplify]: Simplify 2.0 into 2.0 0.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.404 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.404 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.404 * [taylor]: Taking taylor expansion of +nan.0 in im 0.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.404 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.404 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.404 * [taylor]: Taking taylor expansion of 2.0 in im 0.404 * [backup-simplify]: Simplify 2.0 into 2.0 0.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.405 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.405 * [taylor]: Taking taylor expansion of im in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify (+ 0 0) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.410 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.413 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.413 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.414 * [backup-simplify]: Simplify (- 0) into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.417 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.417 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.419 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.420 * [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)))))) 0.420 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.421 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.421 * [taylor]: Taking taylor expansion of +nan.0 in im 0.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.421 * [taylor]: Taking taylor expansion of 2.0 in im 0.421 * [backup-simplify]: Simplify 2.0 into 2.0 0.421 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.421 * [taylor]: Taking taylor expansion of +nan.0 in im 0.421 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.421 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.421 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.421 * [taylor]: Taking taylor expansion of 2.0 in im 0.421 * [backup-simplify]: Simplify 2.0 into 2.0 0.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.422 * [taylor]: Taking taylor expansion of im in im 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify 1 into 1 0.422 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.424 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify (+ 0 0) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.425 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.429 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.430 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.431 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.434 * [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)))))))) 0.434 * [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)))) 0.434 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.434 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.434 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.434 * [taylor]: Taking taylor expansion of 2.0 in im 0.434 * [backup-simplify]: Simplify 2.0 into 2.0 0.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.435 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.435 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.435 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.435 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.435 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.435 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.435 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.435 * [taylor]: Taking taylor expansion of -1 in im 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of re in im 0.435 * [backup-simplify]: Simplify re into re 0.435 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.435 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.435 * [taylor]: Taking taylor expansion of -1 in im 0.435 * [backup-simplify]: Simplify -1 into -1 0.435 * [taylor]: Taking taylor expansion of re in im 0.435 * [backup-simplify]: Simplify re into re 0.436 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.436 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.436 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.436 * [taylor]: Taking taylor expansion of -1 in im 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of im in im 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ -1 1) into -1 0.436 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.436 * [taylor]: Taking taylor expansion of -1 in im 0.436 * [backup-simplify]: Simplify -1 into -1 0.436 * [taylor]: Taking taylor expansion of im in im 0.436 * [backup-simplify]: Simplify 0 into 0 0.436 * [backup-simplify]: Simplify 1 into 1 0.436 * [backup-simplify]: Simplify (/ -1 1) into -1 0.436 * [backup-simplify]: Simplify (* -1 -1) into 1 0.437 * [backup-simplify]: Simplify (+ 0 1) into 1 0.437 * [backup-simplify]: Simplify (sqrt 1) into 1 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.439 * [backup-simplify]: Simplify (+ 0 0) into 0 0.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.439 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.439 * [taylor]: Taking taylor expansion of re in im 0.439 * [backup-simplify]: Simplify re into re 0.439 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.439 * [backup-simplify]: Simplify (+ 1 0) into 1 0.440 * [backup-simplify]: Simplify (sqrt 0) into 0 0.441 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.441 * [taylor]: Taking taylor expansion of 2.0 in re 0.441 * [backup-simplify]: Simplify 2.0 into 2.0 0.441 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.442 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.442 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.442 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.442 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.442 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.442 * [taylor]: Taking taylor expansion of -1 in re 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ -1 1) into -1 0.442 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.442 * [taylor]: Taking taylor expansion of -1 in re 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of re in re 0.442 * [backup-simplify]: Simplify 0 into 0 0.442 * [backup-simplify]: Simplify 1 into 1 0.442 * [backup-simplify]: Simplify (/ -1 1) into -1 0.442 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.442 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.442 * [taylor]: Taking taylor expansion of -1 in re 0.442 * [backup-simplify]: Simplify -1 into -1 0.442 * [taylor]: Taking taylor expansion of im in re 0.443 * [backup-simplify]: Simplify im into im 0.443 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.443 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.443 * [taylor]: Taking taylor expansion of -1 in re 0.443 * [backup-simplify]: Simplify -1 into -1 0.443 * [taylor]: Taking taylor expansion of im in re 0.443 * [backup-simplify]: Simplify im into im 0.443 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.443 * [backup-simplify]: Simplify (* -1 -1) into 1 0.443 * [backup-simplify]: Simplify (+ 1 0) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.445 * [backup-simplify]: Simplify (+ 0 0) into 0 0.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.445 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.445 * [taylor]: Taking taylor expansion of re in re 0.445 * [backup-simplify]: Simplify 0 into 0 0.445 * [backup-simplify]: Simplify 1 into 1 0.446 * [backup-simplify]: Simplify (/ 1 1) into 1 0.446 * [backup-simplify]: Simplify (- 1) into -1 0.446 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify (+ 0 0) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.449 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.449 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (- 0) into 0 0.451 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.451 * [backup-simplify]: Simplify (sqrt 0) into 0 0.451 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.451 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.451 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.451 * [taylor]: Taking taylor expansion of 2.0 in re 0.451 * [backup-simplify]: Simplify 2.0 into 2.0 0.452 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.452 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.452 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.452 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.452 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.452 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.452 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.452 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.452 * [taylor]: Taking taylor expansion of -1 in re 0.452 * [backup-simplify]: Simplify -1 into -1 0.452 * [taylor]: Taking taylor expansion of re in re 0.452 * [backup-simplify]: Simplify 0 into 0 0.452 * [backup-simplify]: Simplify 1 into 1 0.452 * [backup-simplify]: Simplify (/ -1 1) into -1 0.453 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.453 * [taylor]: Taking taylor expansion of -1 in re 0.453 * [backup-simplify]: Simplify -1 into -1 0.453 * [taylor]: Taking taylor expansion of re in re 0.453 * [backup-simplify]: Simplify 0 into 0 0.453 * [backup-simplify]: Simplify 1 into 1 0.453 * [backup-simplify]: Simplify (/ -1 1) into -1 0.453 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.453 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.453 * [taylor]: Taking taylor expansion of -1 in re 0.453 * [backup-simplify]: Simplify -1 into -1 0.453 * [taylor]: Taking taylor expansion of im in re 0.453 * [backup-simplify]: Simplify im into im 0.453 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.453 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.453 * [taylor]: Taking taylor expansion of -1 in re 0.453 * [backup-simplify]: Simplify -1 into -1 0.453 * [taylor]: Taking taylor expansion of im in re 0.453 * [backup-simplify]: Simplify im into im 0.453 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.453 * [backup-simplify]: Simplify (* -1 -1) into 1 0.454 * [backup-simplify]: Simplify (+ 1 0) into 1 0.454 * [backup-simplify]: Simplify (sqrt 1) into 1 0.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.455 * [backup-simplify]: Simplify (+ 0 0) into 0 0.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.456 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.456 * [taylor]: Taking taylor expansion of re in re 0.456 * [backup-simplify]: Simplify 0 into 0 0.456 * [backup-simplify]: Simplify 1 into 1 0.456 * [backup-simplify]: Simplify (/ 1 1) into 1 0.456 * [backup-simplify]: Simplify (- 1) into -1 0.457 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- 0) into 0 0.458 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.460 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.460 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.460 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.461 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.461 * [backup-simplify]: Simplify (- 0) into 0 0.461 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.462 * [backup-simplify]: Simplify (sqrt 0) into 0 0.462 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.462 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.462 * [taylor]: Taking taylor expansion of 0 in im 0.462 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.463 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.463 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.463 * [taylor]: Taking taylor expansion of +nan.0 in im 0.463 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.463 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.463 * [taylor]: Taking taylor expansion of 2.0 in im 0.463 * [backup-simplify]: Simplify 2.0 into 2.0 0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.464 * [taylor]: Taking taylor expansion of im in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.466 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.466 * [backup-simplify]: Simplify (- 0) into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.466 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.468 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.468 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.469 * [backup-simplify]: Simplify (+ 0 0) into 0 0.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (- 0) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.471 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.472 * [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)))) 0.472 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.472 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.472 * [taylor]: Taking taylor expansion of +nan.0 in im 0.472 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.472 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.472 * [taylor]: Taking taylor expansion of 2.0 in im 0.472 * [backup-simplify]: Simplify 2.0 into 2.0 0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.473 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.473 * [taylor]: Taking taylor expansion of im in im 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.481 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.481 * [backup-simplify]: Simplify (- 0) into 0 0.481 * [backup-simplify]: Simplify 0 into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.483 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.484 * [backup-simplify]: Simplify (- 0) into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.484 * [backup-simplify]: Simplify 0 into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.486 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.486 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.487 * [backup-simplify]: Simplify (+ 0 0) into 0 0.487 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (- 0) into 0 0.493 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.493 * [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))))) 0.494 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.495 * [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)))))) 0.495 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.495 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.495 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.495 * [taylor]: Taking taylor expansion of +nan.0 in im 0.495 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.495 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.495 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.495 * [taylor]: Taking taylor expansion of 2.0 in im 0.495 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.496 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.496 * [taylor]: Taking taylor expansion of im in im 0.496 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify 1 into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (* 1 1) into 1 0.497 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.497 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.497 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.497 * [taylor]: Taking taylor expansion of +nan.0 in im 0.497 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.497 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.497 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.497 * [taylor]: Taking taylor expansion of 2.0 in im 0.497 * [backup-simplify]: Simplify 2.0 into 2.0 0.497 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.497 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.498 * [backup-simplify]: Simplify 0 into 0 0.498 * [backup-simplify]: Simplify 1 into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.498 * [backup-simplify]: Simplify (* 1 1) into 1 0.499 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.499 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify (+ 0 0) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.522 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.522 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.522 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.522 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.522 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.522 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.522 * [taylor]: Taking taylor expansion of (* re re) in im 0.522 * [taylor]: Taking taylor expansion of re in im 0.522 * [backup-simplify]: Simplify re into re 0.522 * [taylor]: Taking taylor expansion of re in im 0.522 * [backup-simplify]: Simplify re into re 0.522 * [taylor]: Taking taylor expansion of (* im im) in im 0.522 * [taylor]: Taking taylor expansion of im in im 0.522 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [taylor]: Taking taylor expansion of im in im 0.523 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify 1 into 1 0.523 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.523 * [backup-simplify]: Simplify (* 0 0) into 0 0.523 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.523 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.523 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.523 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.524 * [backup-simplify]: Simplify (+ 0 0) into 0 0.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.524 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.524 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.524 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.524 * [taylor]: Taking taylor expansion of (* re re) in re 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of re in re 0.524 * [backup-simplify]: Simplify 0 into 0 0.524 * [backup-simplify]: Simplify 1 into 1 0.524 * [taylor]: Taking taylor expansion of (* im im) in re 0.524 * [taylor]: Taking taylor expansion of im in re 0.524 * [backup-simplify]: Simplify im into im 0.524 * [taylor]: Taking taylor expansion of im in re 0.524 * [backup-simplify]: Simplify im into im 0.524 * [backup-simplify]: Simplify (* 0 0) into 0 0.524 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.524 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.524 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.525 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.525 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.526 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.526 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.526 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.526 * [taylor]: Taking taylor expansion of (* re re) in re 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of re in re 0.526 * [backup-simplify]: Simplify 0 into 0 0.526 * [backup-simplify]: Simplify 1 into 1 0.526 * [taylor]: Taking taylor expansion of (* im im) in re 0.526 * [taylor]: Taking taylor expansion of im in re 0.526 * [backup-simplify]: Simplify im into im 0.526 * [taylor]: Taking taylor expansion of im in re 0.526 * [backup-simplify]: Simplify im into im 0.526 * [backup-simplify]: Simplify (* 0 0) into 0 0.526 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.526 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.527 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.527 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.527 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.528 * [backup-simplify]: Simplify (+ 0 0) into 0 0.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.528 * [taylor]: Taking taylor expansion of im in im 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [taylor]: Taking taylor expansion of 0 in im 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.530 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.531 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.531 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.531 * [taylor]: Taking taylor expansion of 1/2 in im 0.531 * [backup-simplify]: Simplify 1/2 into 1/2 0.531 * [taylor]: Taking taylor expansion of im in im 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.534 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.534 * [backup-simplify]: Simplify (+ 0 0) into 0 0.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.535 * [taylor]: Taking taylor expansion of 0 in im 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.536 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.536 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.536 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.536 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.536 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [backup-simplify]: Simplify re into re 0.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [backup-simplify]: Simplify re into re 0.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.537 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (/ 1 1) into 1 0.537 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (+ 0 1) into 1 0.539 * [backup-simplify]: Simplify (sqrt 1) into 1 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.541 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.542 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.542 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.542 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.542 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.542 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.542 * [taylor]: Taking taylor expansion of re in re 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.543 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.544 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 1 0) into 1 0.545 * [backup-simplify]: Simplify (sqrt 1) into 1 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.548 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.548 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.548 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.548 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.548 * [taylor]: Taking taylor expansion of re in re 0.548 * [backup-simplify]: Simplify 0 into 0 0.548 * [backup-simplify]: Simplify 1 into 1 0.548 * [backup-simplify]: Simplify (/ 1 1) into 1 0.548 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.549 * [taylor]: Taking taylor expansion of re in re 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 1 into 1 0.549 * [backup-simplify]: Simplify (/ 1 1) into 1 0.549 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.549 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.549 * [taylor]: Taking taylor expansion of im in re 0.549 * [backup-simplify]: Simplify im into im 0.549 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.549 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.549 * [taylor]: Taking taylor expansion of im in re 0.549 * [backup-simplify]: Simplify im into im 0.549 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.550 * [backup-simplify]: Simplify (* 1 1) into 1 0.550 * [backup-simplify]: Simplify (+ 1 0) into 1 0.551 * [backup-simplify]: Simplify (sqrt 1) into 1 0.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (+ 0 0) into 0 0.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.554 * [taylor]: Taking taylor expansion of 1 in im 0.554 * [backup-simplify]: Simplify 1 into 1 0.554 * [taylor]: Taking taylor expansion of 0 in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.558 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.558 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.559 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.559 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.559 * [taylor]: Taking taylor expansion of 1/2 in im 0.559 * [backup-simplify]: Simplify 1/2 into 1/2 0.559 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.559 * [taylor]: Taking taylor expansion of im in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.565 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.566 * [taylor]: Taking taylor expansion of 0 in im 0.566 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.568 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.568 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.569 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.569 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of re in im 0.569 * [backup-simplify]: Simplify re into re 0.569 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.569 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of re in im 0.569 * [backup-simplify]: Simplify re into re 0.569 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.569 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.569 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.569 * [taylor]: Taking taylor expansion of -1 in im 0.569 * [backup-simplify]: Simplify -1 into -1 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ -1 1) into -1 0.570 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.570 * [taylor]: Taking taylor expansion of -1 in im 0.570 * [backup-simplify]: Simplify -1 into -1 0.570 * [taylor]: Taking taylor expansion of im in im 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (/ -1 1) into -1 0.571 * [backup-simplify]: Simplify (* -1 -1) into 1 0.571 * [backup-simplify]: Simplify (+ 0 1) into 1 0.571 * [backup-simplify]: Simplify (sqrt 1) into 1 0.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.574 * [backup-simplify]: Simplify (+ 0 0) into 0 0.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.575 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.575 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.575 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.575 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.575 * [taylor]: Taking taylor expansion of -1 in re 0.575 * [backup-simplify]: Simplify -1 into -1 0.575 * [taylor]: Taking taylor expansion of re in re 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (/ -1 1) into -1 0.575 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [backup-simplify]: Simplify -1 into -1 0.576 * [taylor]: Taking taylor expansion of re in re 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ -1 1) into -1 0.576 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [backup-simplify]: Simplify -1 into -1 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [backup-simplify]: Simplify im into im 0.576 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.576 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.576 * [taylor]: Taking taylor expansion of -1 in re 0.576 * [backup-simplify]: Simplify -1 into -1 0.576 * [taylor]: Taking taylor expansion of im in re 0.576 * [backup-simplify]: Simplify im into im 0.576 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.577 * [backup-simplify]: Simplify (* -1 -1) into 1 0.577 * [backup-simplify]: Simplify (+ 1 0) into 1 0.577 * [backup-simplify]: Simplify (sqrt 1) into 1 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.581 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.581 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.581 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.581 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.581 * [taylor]: Taking taylor expansion of -1 in re 0.581 * [backup-simplify]: Simplify -1 into -1 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ -1 1) into -1 0.582 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.582 * [taylor]: Taking taylor expansion of -1 in re 0.582 * [backup-simplify]: Simplify -1 into -1 0.582 * [taylor]: Taking taylor expansion of re in re 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (/ -1 1) into -1 0.582 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.582 * [taylor]: Taking taylor expansion of -1 in re 0.582 * [backup-simplify]: Simplify -1 into -1 0.582 * [taylor]: Taking taylor expansion of im in re 0.582 * [backup-simplify]: Simplify im into im 0.582 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.582 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.583 * [taylor]: Taking taylor expansion of -1 in re 0.583 * [backup-simplify]: Simplify -1 into -1 0.583 * [taylor]: Taking taylor expansion of im in re 0.583 * [backup-simplify]: Simplify im into im 0.583 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.583 * [backup-simplify]: Simplify (* -1 -1) into 1 0.583 * [backup-simplify]: Simplify (+ 1 0) into 1 0.584 * [backup-simplify]: Simplify (sqrt 1) into 1 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.587 * [taylor]: Taking taylor expansion of 1 in im 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [taylor]: Taking taylor expansion of 0 in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.591 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.591 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.592 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.592 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.592 * [taylor]: Taking taylor expansion of 1/2 in im 0.592 * [backup-simplify]: Simplify 1/2 into 1/2 0.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.600 * [taylor]: Taking taylor expansion of 0 in im 0.600 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.602 * * * [progress]: simplifying candidates 0.602 * * * * [progress]: [ 1 / 54 ] simplifiying candidate # 0.602 * * * * [progress]: [ 2 / 54 ] simplifiying candidate # 0.602 * * * * [progress]: [ 3 / 54 ] simplifiying candidate # 0.603 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 0.603 * * [simplify]: iters left: 4 (5 enodes) 0.605 * * [simplify]: iters left: 3 (15 enodes) 0.609 * * [simplify]: Extracting #0: cost 1 inf + 0 0.609 * * [simplify]: Extracting #1: cost 3 inf + 0 0.609 * * [simplify]: Extracting #2: cost 5 inf + 0 0.609 * * [simplify]: Extracting #3: cost 8 inf + 0 0.609 * * [simplify]: Extracting #4: cost 6 inf + 2 0.609 * * [simplify]: Extracting #5: cost 0 inf + 744 0.610 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 0.610 * [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)))) 0.610 * * * * [progress]: [ 4 / 54 ] simplifiying candidate # 0.610 * [simplify]: Simplifying (sqrt (hypot re im)) 0.610 * * [simplify]: iters left: 2 (4 enodes) 0.612 * * [simplify]: iters left: 1 (12 enodes) 0.615 * * [simplify]: Extracting #0: cost 1 inf + 0 0.615 * * [simplify]: Extracting #1: cost 3 inf + 0 0.615 * * [simplify]: Extracting #2: cost 6 inf + 0 0.615 * * [simplify]: Extracting #3: cost 4 inf + 2 0.616 * * [simplify]: Extracting #4: cost 0 inf + 310 0.616 * [simplify]: Simplified to (sqrt (hypot re im)) 0.616 * [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)))) 0.616 * * * * [progress]: [ 5 / 54 ] simplifiying candidate # 0.616 * * * * [progress]: [ 6 / 54 ] simplifiying candidate # 0.616 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 0.616 * * [simplify]: iters left: 4 (6 enodes) 0.619 * * [simplify]: iters left: 3 (21 enodes) 0.625 * * [simplify]: iters left: 2 (25 enodes) 0.636 * * [simplify]: Extracting #0: cost 1 inf + 0 0.636 * * [simplify]: Extracting #1: cost 5 inf + 0 0.636 * * [simplify]: Extracting #2: cost 10 inf + 0 0.636 * * [simplify]: Extracting #3: cost 9 inf + 143 0.636 * * [simplify]: Extracting #4: cost 8 inf + 144 0.637 * * [simplify]: Extracting #5: cost 0 inf + 1180 0.637 * * [simplify]: Extracting #6: cost 0 inf + 1040 0.637 * [simplify]: Simplified to (exp (+ re (hypot re im))) 0.638 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (log (exp (+ re (hypot re im)))) 2.0)))) 0.638 * * * * [progress]: [ 7 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 8 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 9 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 10 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 11 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 12 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 13 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 14 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 15 / 54 ] simplifiying candidate # 0.638 * * * * [progress]: [ 16 / 54 ] simplifiying candidate # 0.639 * [simplify]: Simplifying (+ (hypot re im) re) 0.639 * * [simplify]: iters left: 3 (4 enodes) 0.640 * * [simplify]: iters left: 2 (13 enodes) 0.644 * * [simplify]: Extracting #0: cost 1 inf + 0 0.644 * * [simplify]: Extracting #1: cost 4 inf + 0 0.644 * * [simplify]: Extracting #2: cost 5 inf + 1 0.644 * * [simplify]: Extracting #3: cost 4 inf + 2 0.644 * * [simplify]: Extracting #4: cost 0 inf + 310 0.644 * [simplify]: Simplified to (+ re (hypot re im)) 0.644 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 0.644 * * * * [progress]: [ 17 / 54 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))) 2.0))))> 0.644 * * * * [progress]: [ 18 / 54 ] simplifiying candidate # 0.644 * * * * [progress]: [ 19 / 54 ] simplifiying candidate # 0.644 * * * * [progress]: [ 20 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 21 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 22 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 23 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 24 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 25 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 26 / 54 ] simplifiying candidate # 0.645 * * * * [progress]: [ 27 / 54 ] simplifiying candidate # 0.645 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 0.645 * * [simplify]: iters left: 4 (5 enodes) 0.647 * * [simplify]: iters left: 3 (16 enodes) 0.651 * * [simplify]: Extracting #0: cost 1 inf + 0 0.651 * * [simplify]: Extracting #1: cost 3 inf + 0 0.651 * * [simplify]: Extracting #2: cost 6 inf + 0 0.651 * * [simplify]: Extracting #3: cost 7 inf + 1 0.652 * * [simplify]: Extracting #4: cost 0 inf + 584 0.652 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 0.652 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 0.652 * * * * [progress]: [ 28 / 54 ] simplifiying candidate # 0.652 * [simplify]: Simplifying (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0)) 0.652 * * [simplify]: iters left: 6 (10 enodes) 0.658 * * [simplify]: iters left: 5 (45 enodes) 0.676 * * [simplify]: iters left: 4 (86 enodes) 0.701 * * [simplify]: iters left: 3 (171 enodes) 0.749 * * [simplify]: iters left: 2 (295 enodes) 0.832 * * [simplify]: Extracting #0: cost 1 inf + 0 0.832 * * [simplify]: Extracting #1: cost 3 inf + 0 0.832 * * [simplify]: Extracting #2: cost 10 inf + 0 0.833 * * [simplify]: Extracting #3: cost 52 inf + 1 0.833 * * [simplify]: Extracting #4: cost 109 inf + 3 0.835 * * [simplify]: Extracting #5: cost 89 inf + 4660 0.839 * * [simplify]: Extracting #6: cost 39 inf + 21680 0.846 * * [simplify]: Extracting #7: cost 7 inf + 36578 0.853 * * [simplify]: Extracting #8: cost 0 inf + 39501 0.863 * [simplify]: Simplified to (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) 0.863 * [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))))))) 0.864 * * * * [progress]: [ 29 / 54 ] simplifiying candidate # 0.864 * [simplify]: Simplifying (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 0.864 * * [simplify]: iters left: 6 (9 enodes) 0.869 * * [simplify]: iters left: 5 (34 enodes) 0.876 * * [simplify]: iters left: 4 (57 enodes) 0.886 * * [simplify]: iters left: 3 (123 enodes) 0.926 * * [simplify]: iters left: 2 (313 enodes) 1.081 * * [simplify]: Extracting #0: cost 1 inf + 0 1.081 * * [simplify]: Extracting #1: cost 3 inf + 0 1.082 * * [simplify]: Extracting #2: cost 65 inf + 0 1.082 * * [simplify]: Extracting #3: cost 134 inf + 207 1.084 * * [simplify]: Extracting #4: cost 104 inf + 5633 1.089 * * [simplify]: Extracting #5: cost 18 inf + 21924 1.097 * * [simplify]: Extracting #6: cost 0 inf + 24348 1.110 * [simplify]: Simplified to (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 1.110 * [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))))) 1.110 * * * * [progress]: [ 30 / 54 ] simplifiying candidate # 1.111 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.111 * * [simplify]: iters left: 5 (6 enodes) 1.114 * * [simplify]: iters left: 4 (20 enodes) 1.119 * * [simplify]: iters left: 3 (28 enodes) 1.132 * * [simplify]: iters left: 2 (40 enodes) 1.141 * * [simplify]: Extracting #0: cost 1 inf + 0 1.141 * * [simplify]: Extracting #1: cost 8 inf + 0 1.141 * * [simplify]: Extracting #2: cost 11 inf + 2 1.141 * * [simplify]: Extracting #3: cost 9 inf + 45 1.142 * * [simplify]: Extracting #4: cost 2 inf + 632 1.142 * * [simplify]: Extracting #5: cost 0 inf + 867 1.143 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.143 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.143 * * * * [progress]: [ 31 / 54 ] simplifiying candidate # 1.143 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.143 * * [simplify]: iters left: 5 (6 enodes) 1.146 * * [simplify]: iters left: 4 (20 enodes) 1.152 * * [simplify]: iters left: 3 (28 enodes) 1.161 * * [simplify]: iters left: 2 (40 enodes) 1.170 * * [simplify]: Extracting #0: cost 1 inf + 0 1.170 * * [simplify]: Extracting #1: cost 8 inf + 0 1.170 * * [simplify]: Extracting #2: cost 11 inf + 2 1.171 * * [simplify]: Extracting #3: cost 9 inf + 45 1.171 * * [simplify]: Extracting #4: cost 2 inf + 632 1.171 * * [simplify]: Extracting #5: cost 0 inf + 867 1.172 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.172 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.172 * * * * [progress]: [ 32 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 33 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 34 / 54 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (hypot re im) re) 2.0))))))> 1.172 * * * * [progress]: [ 35 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 36 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 37 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 38 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 39 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 40 / 54 ] simplifiying candidate # 1.172 * * * * [progress]: [ 41 / 54 ] simplifiying candidate # 1.173 * * * * [progress]: [ 42 / 54 ] simplifiying candidate # 1.173 * * * * [progress]: [ 43 / 54 ] simplifiying candidate # 1.173 * * * * [progress]: [ 44 / 54 ] simplifiying candidate # 1.173 * * * * [progress]: [ 45 / 54 ] simplifiying candidate #real (real->posit16 (hypot re im))) re) 2.0))))> 1.173 * * * * [progress]: [ 46 / 54 ] simplifiying candidate # 1.173 * [simplify]: Simplifying (+ re im) 1.173 * * [simplify]: iters left: 2 (3 enodes) 1.174 * * [simplify]: iters left: 1 (10 enodes) 1.177 * * [simplify]: Extracting #0: cost 1 inf + 0 1.177 * * [simplify]: Extracting #1: cost 4 inf + 0 1.177 * * [simplify]: Extracting #2: cost 2 inf + 2 1.177 * * [simplify]: Extracting #3: cost 0 inf + 86 1.177 * [simplify]: Simplified to (+ im re) 1.177 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 1.177 * * * * [progress]: [ 47 / 54 ] simplifiying candidate # 1.177 * [simplify]: Simplifying (* 2 re) 1.177 * * [simplify]: iters left: 2 (3 enodes) 1.179 * * [simplify]: iters left: 1 (10 enodes) 1.182 * * [simplify]: Extracting #0: cost 1 inf + 0 1.182 * * [simplify]: Extracting #1: cost 4 inf + 0 1.182 * * [simplify]: Extracting #2: cost 2 inf + 2 1.182 * * [simplify]: Extracting #3: cost 0 inf + 86 1.183 * [simplify]: Simplified to (* 2 re) 1.183 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 1.183 * * * * [progress]: [ 48 / 54 ] simplifiying candidate # 1.183 * [simplify]: Simplifying 0 1.183 * * [simplify]: iters left: 0 (1 enodes) 1.184 * * [simplify]: Extracting #0: cost 1 inf + 0 1.184 * * [simplify]: Extracting #1: cost 0 inf + 1 1.184 * [simplify]: Simplified to 0 1.184 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 1.184 * * * * [progress]: [ 49 / 54 ] simplifiying candidate # 1.184 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 1.184 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 1.184 * * * * [progress]: [ 50 / 54 ] simplifiying candidate # 1.185 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.185 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 1.185 * * * * [progress]: [ 51 / 54 ] simplifiying candidate # 1.185 * [simplify]: Simplifying 0 1.185 * * [simplify]: iters left: 0 (1 enodes) 1.186 * * [simplify]: Extracting #0: cost 1 inf + 0 1.186 * * [simplify]: Extracting #1: cost 0 inf + 1 1.186 * [simplify]: Simplified to 0 1.186 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 1.186 * * * * [progress]: [ 52 / 54 ] simplifiying candidate # 1.187 * [simplify]: Simplifying im 1.187 * * [simplify]: iters left: 0 (1 enodes) 1.187 * * [simplify]: Extracting #0: cost 1 inf + 0 1.187 * * [simplify]: Extracting #1: cost 0 inf + 1 1.187 * [simplify]: Simplified to im 1.187 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 1.187 * * * * [progress]: [ 53 / 54 ] simplifiying candidate # 1.188 * [simplify]: Simplifying re 1.188 * * [simplify]: iters left: 0 (1 enodes) 1.188 * * [simplify]: Extracting #0: cost 1 inf + 0 1.188 * * [simplify]: Extracting #1: cost 0 inf + 1 1.188 * [simplify]: Simplified to re 1.188 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0)))) 1.188 * * * * [progress]: [ 54 / 54 ] simplifiying candidate # 1.189 * [simplify]: Simplifying (* -1 re) 1.189 * * [simplify]: iters left: 2 (3 enodes) 1.191 * * [simplify]: iters left: 1 (11 enodes) 1.194 * * [simplify]: Extracting #0: cost 1 inf + 0 1.194 * * [simplify]: Extracting #1: cost 4 inf + 0 1.194 * * [simplify]: Extracting #2: cost 0 inf + 84 1.194 * [simplify]: Simplified to (- re) 1.194 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (- re) re) 2.0)))) 1.194 * * * [progress]: adding candidates to table 1.748 * * [progress]: iteration 2 / 4 1.748 * * * [progress]: picking best candidate 1.790 * * * * [pick]: Picked # 1.790 * * * [progress]: localizing error 1.830 * * * [progress]: generating rewritten candidates 1.830 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 1.839 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 1.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.903 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.947 * * * [progress]: generating series expansions 1.947 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 1.948 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 1.948 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 1.948 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 1.948 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.948 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.948 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.948 * [taylor]: Taking taylor expansion of (* re re) in im 1.948 * [taylor]: Taking taylor expansion of re in im 1.948 * [backup-simplify]: Simplify re into re 1.948 * [taylor]: Taking taylor expansion of re in im 1.948 * [backup-simplify]: Simplify re into re 1.948 * [taylor]: Taking taylor expansion of (* im im) in im 1.948 * [taylor]: Taking taylor expansion of im in im 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [taylor]: Taking taylor expansion of im in im 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.949 * [backup-simplify]: Simplify (* 0 0) into 0 1.949 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.949 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.949 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.950 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.950 * [taylor]: Taking taylor expansion of re in im 1.950 * [backup-simplify]: Simplify re into re 1.951 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.951 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.951 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.951 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.951 * [taylor]: Taking taylor expansion of (* re re) in re 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of re in re 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 1 into 1 1.951 * [taylor]: Taking taylor expansion of (* im im) in re 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [backup-simplify]: Simplify im into im 1.951 * [taylor]: Taking taylor expansion of im in re 1.951 * [backup-simplify]: Simplify im into im 1.951 * [backup-simplify]: Simplify (* 0 0) into 0 1.951 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.951 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.952 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.952 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.952 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.953 * [backup-simplify]: Simplify (+ 0 0) into 0 1.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.953 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.953 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.953 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.953 * [taylor]: Taking taylor expansion of (* re re) in re 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of re in re 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (* im im) in re 1.953 * [taylor]: Taking taylor expansion of im in re 1.953 * [backup-simplify]: Simplify im into im 1.953 * [taylor]: Taking taylor expansion of im in re 1.953 * [backup-simplify]: Simplify im into im 1.954 * [backup-simplify]: Simplify (* 0 0) into 0 1.954 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.954 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.954 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.954 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.954 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.955 * [taylor]: Taking taylor expansion of re in re 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (+ im 0) into im 1.955 * [taylor]: Taking taylor expansion of im in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (+ 0 1) into 1 1.956 * [taylor]: Taking taylor expansion of 1 in im 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify 1 into 1 1.957 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.957 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.957 * [backup-simplify]: Simplify (+ 1 0) into 1 1.958 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.958 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.958 * [taylor]: Taking taylor expansion of 1/2 in im 1.958 * [backup-simplify]: Simplify 1/2 into 1/2 1.958 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.958 * [taylor]: Taking taylor expansion of im in im 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.966 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [taylor]: Taking taylor expansion of 0 in im 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.970 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1.970 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.970 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.970 * [taylor]: Taking taylor expansion of re in im 1.970 * [backup-simplify]: Simplify re into re 1.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.970 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.970 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.970 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.970 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.970 * [taylor]: Taking taylor expansion of re in im 1.970 * [backup-simplify]: Simplify re into re 1.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.970 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.970 * [taylor]: Taking taylor expansion of re in im 1.970 * [backup-simplify]: Simplify re into re 1.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.971 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.971 * [taylor]: Taking taylor expansion of im in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 1 into 1 1.971 * [backup-simplify]: Simplify (/ 1 1) into 1 1.971 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.971 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (* 1 1) into 1 1.972 * [backup-simplify]: Simplify (+ 0 1) into 1 1.973 * [backup-simplify]: Simplify (sqrt 1) into 1 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.976 * [taylor]: Taking taylor expansion of re in re 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.977 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.977 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.977 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.977 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 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 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 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 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [backup-simplify]: Simplify im into im 1.978 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.978 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [backup-simplify]: Simplify im into im 1.978 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ 1 0) into 1 1.979 * [backup-simplify]: Simplify (sqrt 1) into 1 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.983 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.983 * [taylor]: Taking taylor expansion of re in re 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.984 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.984 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.984 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (/ 1 1) into 1 1.984 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.984 * [taylor]: Taking taylor expansion of re in re 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.985 * [backup-simplify]: Simplify im into im 1.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.985 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.985 * [taylor]: Taking taylor expansion of im in re 1.985 * [backup-simplify]: Simplify im into im 1.985 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.985 * [backup-simplify]: Simplify (* 1 1) into 1 1.986 * [backup-simplify]: Simplify (+ 1 0) into 1 1.986 * [backup-simplify]: Simplify (sqrt 1) into 1 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.990 * [backup-simplify]: Simplify (+ 1 1) into 2 1.990 * [taylor]: Taking taylor expansion of 2 in im 1.990 * [backup-simplify]: Simplify 2 into 2 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [taylor]: Taking taylor expansion of 0 in im 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 2 into 2 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.995 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.995 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.996 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.996 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.996 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.996 * [taylor]: Taking taylor expansion of 1/2 in im 1.996 * [backup-simplify]: Simplify 1/2 into 1/2 1.996 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.996 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.996 * [taylor]: Taking taylor expansion of im in im 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (/ 1 1) into 1 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.004 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [taylor]: Taking taylor expansion of 0 in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.009 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 2.009 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.009 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.009 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.009 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.009 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.009 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.009 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.009 * [taylor]: Taking taylor expansion of -1 in im 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of re in im 2.009 * [backup-simplify]: Simplify re into re 2.009 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.009 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.009 * [taylor]: Taking taylor expansion of -1 in im 2.009 * [backup-simplify]: Simplify -1 into -1 2.009 * [taylor]: Taking taylor expansion of re in im 2.009 * [backup-simplify]: Simplify re into re 2.009 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.009 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.009 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.009 * [taylor]: Taking taylor expansion of -1 in im 2.009 * [backup-simplify]: Simplify -1 into -1 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 2.010 * [backup-simplify]: Simplify (/ -1 1) into -1 2.010 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.010 * [taylor]: Taking taylor expansion of -1 in im 2.010 * [backup-simplify]: Simplify -1 into -1 2.010 * [taylor]: Taking taylor expansion of im in im 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (/ -1 1) into -1 2.011 * [backup-simplify]: Simplify (* -1 -1) into 1 2.011 * [backup-simplify]: Simplify (+ 0 1) into 1 2.012 * [backup-simplify]: Simplify (sqrt 1) into 1 2.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.014 * [backup-simplify]: Simplify (+ 0 0) into 0 2.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.015 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.015 * [taylor]: Taking taylor expansion of re in im 2.015 * [backup-simplify]: Simplify re into re 2.015 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.015 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.015 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.015 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.015 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.015 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.015 * [taylor]: Taking taylor expansion of -1 in re 2.015 * [backup-simplify]: Simplify -1 into -1 2.015 * [taylor]: Taking taylor expansion of re in re 2.015 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (/ -1 1) into -1 2.016 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.016 * [taylor]: Taking taylor expansion of -1 in re 2.016 * [backup-simplify]: Simplify -1 into -1 2.016 * [taylor]: Taking taylor expansion of re in re 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (/ -1 1) into -1 2.017 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.017 * [taylor]: Taking taylor expansion of -1 in re 2.017 * [backup-simplify]: Simplify -1 into -1 2.017 * [taylor]: Taking taylor expansion of im in re 2.017 * [backup-simplify]: Simplify im into im 2.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.017 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.017 * [taylor]: Taking taylor expansion of -1 in re 2.017 * [backup-simplify]: Simplify -1 into -1 2.017 * [taylor]: Taking taylor expansion of im in re 2.017 * [backup-simplify]: Simplify im into im 2.017 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.017 * [backup-simplify]: Simplify (* -1 -1) into 1 2.018 * [backup-simplify]: Simplify (+ 1 0) into 1 2.018 * [backup-simplify]: Simplify (sqrt 1) into 1 2.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.022 * [taylor]: Taking taylor expansion of re in re 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [backup-simplify]: Simplify (/ 1 1) into 1 2.022 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.022 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.022 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.023 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.023 * [taylor]: Taking taylor expansion of -1 in re 2.023 * [backup-simplify]: Simplify -1 into -1 2.023 * [taylor]: Taking taylor expansion of re in re 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ -1 1) into -1 2.023 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.023 * [taylor]: Taking taylor expansion of -1 in re 2.023 * [backup-simplify]: Simplify -1 into -1 2.023 * [taylor]: Taking taylor expansion of re in re 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (/ -1 1) into -1 2.024 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.024 * [taylor]: Taking taylor expansion of -1 in re 2.024 * [backup-simplify]: Simplify -1 into -1 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [backup-simplify]: Simplify im into im 2.024 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.024 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.024 * [taylor]: Taking taylor expansion of -1 in re 2.024 * [backup-simplify]: Simplify -1 into -1 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [backup-simplify]: Simplify im into im 2.024 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.024 * [backup-simplify]: Simplify (* -1 -1) into 1 2.025 * [backup-simplify]: Simplify (+ 1 0) into 1 2.025 * [backup-simplify]: Simplify (sqrt 1) into 1 2.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.028 * [backup-simplify]: Simplify (+ 0 0) into 0 2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [backup-simplify]: Simplify (- 1) into -1 2.030 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.030 * [taylor]: Taking taylor expansion of 0 in im 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (- 0) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.032 * [taylor]: Taking taylor expansion of 0 in im 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.035 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.035 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.036 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.038 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.038 * [taylor]: Taking taylor expansion of 1/2 in im 2.038 * [backup-simplify]: Simplify 1/2 into 1/2 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.038 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.038 * [taylor]: Taking taylor expansion of im in im 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.044 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.045 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (- 0) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.047 * [taylor]: Taking taylor expansion of 0 in im 2.047 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 2.050 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 2.051 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 2.051 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.051 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.051 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.051 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.051 * [taylor]: Taking taylor expansion of (* re re) in im 2.051 * [taylor]: Taking taylor expansion of re in im 2.051 * [backup-simplify]: Simplify re into re 2.051 * [taylor]: Taking taylor expansion of re in im 2.051 * [backup-simplify]: Simplify re into re 2.051 * [taylor]: Taking taylor expansion of (* im im) in im 2.051 * [taylor]: Taking taylor expansion of im in im 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [taylor]: Taking taylor expansion of im in im 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.051 * [backup-simplify]: Simplify (* 0 0) into 0 2.052 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.052 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.052 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.052 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.053 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.053 * [taylor]: Taking taylor expansion of re in im 2.053 * [backup-simplify]: Simplify re into re 2.053 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.053 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.053 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.053 * [taylor]: Taking taylor expansion of (* re re) in re 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [taylor]: Taking taylor expansion of (* im im) in re 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [backup-simplify]: Simplify im into im 2.053 * [taylor]: Taking taylor expansion of im in re 2.053 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (* 0 0) into 0 2.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.054 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.054 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.055 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.055 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.055 * [taylor]: Taking taylor expansion of re in re 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 1 into 1 2.055 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.055 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.056 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.056 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.056 * [taylor]: Taking taylor expansion of (* re re) in re 2.056 * [taylor]: Taking taylor expansion of re in re 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [taylor]: Taking taylor expansion of re in re 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [taylor]: Taking taylor expansion of (* im im) in re 2.056 * [taylor]: Taking taylor expansion of im in re 2.056 * [backup-simplify]: Simplify im into im 2.056 * [taylor]: Taking taylor expansion of im in re 2.056 * [backup-simplify]: Simplify im into im 2.056 * [backup-simplify]: Simplify (* 0 0) into 0 2.056 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.056 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.057 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.057 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.057 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (+ im 0) into im 2.058 * [taylor]: Taking taylor expansion of im in im 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (+ 0 1) into 1 2.059 * [taylor]: Taking taylor expansion of 1 in im 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.060 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.060 * [backup-simplify]: Simplify (+ 1 0) into 1 2.061 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.061 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.061 * [taylor]: Taking taylor expansion of 1/2 in im 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.062 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.066 * [taylor]: Taking taylor expansion of 0 in im 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.069 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.069 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.069 * [taylor]: Taking taylor expansion of re in im 2.069 * [backup-simplify]: Simplify re into re 2.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.069 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.069 * [taylor]: Taking taylor expansion of re in im 2.069 * [backup-simplify]: Simplify re into re 2.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.069 * [taylor]: Taking taylor expansion of re in im 2.069 * [backup-simplify]: Simplify re into re 2.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.069 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.069 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.069 * [taylor]: Taking taylor expansion of im in im 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.070 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.070 * [taylor]: Taking taylor expansion of im in im 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.071 * [backup-simplify]: Simplify (+ 0 1) into 1 2.072 * [backup-simplify]: Simplify (sqrt 1) into 1 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.075 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.075 * [taylor]: Taking taylor expansion of re in re 2.075 * [backup-simplify]: Simplify 0 into 0 2.075 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.076 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.076 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.076 * [taylor]: Taking taylor expansion of re in re 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (/ 1 1) into 1 2.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.076 * [taylor]: Taking taylor expansion of re in re 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (/ 1 1) into 1 2.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.077 * [taylor]: Taking taylor expansion of im in re 2.077 * [backup-simplify]: Simplify im into im 2.077 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.077 * [taylor]: Taking taylor expansion of im in re 2.077 * [backup-simplify]: Simplify im into im 2.077 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (+ 1 0) into 1 2.078 * [backup-simplify]: Simplify (sqrt 1) into 1 2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.081 * [backup-simplify]: Simplify (+ 0 0) into 0 2.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.081 * [taylor]: Taking taylor expansion of re in re 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.082 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.082 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.082 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.082 * [taylor]: Taking taylor expansion of re in re 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.083 * [taylor]: Taking taylor expansion of re in re 2.083 * [backup-simplify]: Simplify 0 into 0 2.083 * [backup-simplify]: Simplify 1 into 1 2.083 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.083 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.083 * [taylor]: Taking taylor expansion of im in re 2.083 * [backup-simplify]: Simplify im into im 2.083 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.083 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.083 * [taylor]: Taking taylor expansion of im in re 2.083 * [backup-simplify]: Simplify im into im 2.083 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.084 * [backup-simplify]: Simplify (* 1 1) into 1 2.084 * [backup-simplify]: Simplify (+ 1 0) into 1 2.085 * [backup-simplify]: Simplify (sqrt 1) into 1 2.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.087 * [backup-simplify]: Simplify (+ 0 0) into 0 2.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.088 * [backup-simplify]: Simplify (+ 1 1) into 2 2.088 * [taylor]: Taking taylor expansion of 2 in im 2.088 * [backup-simplify]: Simplify 2 into 2 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (+ 0 0) into 0 2.090 * [taylor]: Taking taylor expansion of 0 in im 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 2 into 2 2.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.094 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.094 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.095 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.095 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.095 * [taylor]: Taking taylor expansion of 1/2 in im 2.095 * [backup-simplify]: Simplify 1/2 into 1/2 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.095 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.095 * [taylor]: Taking taylor expansion of im in im 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.103 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.104 * [taylor]: Taking taylor expansion of 0 in im 2.104 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.108 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 2.108 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.108 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.108 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.108 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.108 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.108 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.108 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.108 * [taylor]: Taking taylor expansion of -1 in im 2.108 * [backup-simplify]: Simplify -1 into -1 2.108 * [taylor]: Taking taylor expansion of re in im 2.108 * [backup-simplify]: Simplify re into re 2.108 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.108 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.108 * [taylor]: Taking taylor expansion of -1 in im 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [taylor]: Taking taylor expansion of re in im 2.109 * [backup-simplify]: Simplify re into re 2.109 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.109 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.109 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.109 * [taylor]: Taking taylor expansion of -1 in im 2.109 * [backup-simplify]: Simplify -1 into -1 2.109 * [taylor]: Taking taylor expansion of im in im 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ -1 1) into -1 2.110 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.110 * [taylor]: Taking taylor expansion of -1 in im 2.110 * [backup-simplify]: Simplify -1 into -1 2.110 * [taylor]: Taking taylor expansion of im in im 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (/ -1 1) into -1 2.116 * [backup-simplify]: Simplify (* -1 -1) into 1 2.117 * [backup-simplify]: Simplify (+ 0 1) into 1 2.117 * [backup-simplify]: Simplify (sqrt 1) into 1 2.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 (/ 1 re) in im 2.121 * [taylor]: Taking taylor expansion of re in im 2.121 * [backup-simplify]: Simplify re into re 2.121 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.121 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 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 -1 in re 2.121 * [backup-simplify]: Simplify -1 into -1 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 2.122 * [backup-simplify]: Simplify (/ -1 1) into -1 2.122 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [backup-simplify]: Simplify -1 into -1 2.122 * [taylor]: Taking taylor expansion of re in re 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (/ -1 1) into -1 2.122 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [backup-simplify]: Simplify -1 into -1 2.122 * [taylor]: Taking taylor expansion of im in re 2.122 * [backup-simplify]: Simplify im into im 2.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.122 * [taylor]: Taking taylor expansion of -1 in re 2.122 * [backup-simplify]: Simplify -1 into -1 2.122 * [taylor]: Taking taylor expansion of im in re 2.122 * [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 2.123 * [backup-simplify]: Simplify (+ 1 0) into 1 2.123 * [backup-simplify]: Simplify (sqrt 1) into 1 2.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 2.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 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 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.125 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.125 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.125 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.125 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.125 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.125 * [taylor]: Taking taylor expansion of -1 in re 2.125 * [backup-simplify]: Simplify -1 into -1 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 2.126 * [backup-simplify]: Simplify (/ -1 1) into -1 2.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.126 * [taylor]: Taking taylor expansion of -1 in re 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of re in re 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (/ -1 1) into -1 2.126 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.126 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.126 * [taylor]: Taking taylor expansion of -1 in re 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of im in re 2.126 * [backup-simplify]: Simplify im into im 2.126 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.126 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.126 * [taylor]: Taking taylor expansion of -1 in re 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [taylor]: Taking taylor expansion of im in re 2.126 * [backup-simplify]: Simplify im into im 2.126 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.127 * [backup-simplify]: Simplify (* -1 -1) into 1 2.127 * [backup-simplify]: Simplify (+ 1 0) into 1 2.127 * [backup-simplify]: Simplify (sqrt 1) into 1 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.129 * [backup-simplify]: Simplify (+ 0 0) into 0 2.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.129 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.129 * [taylor]: Taking taylor expansion of re in re 2.129 * [backup-simplify]: Simplify 0 into 0 2.129 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [backup-simplify]: Simplify (- 1) into -1 2.130 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.130 * [taylor]: Taking taylor expansion of 0 in im 2.130 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.131 * [backup-simplify]: Simplify (- 0) into 0 2.131 * [backup-simplify]: Simplify (+ 0 0) into 0 2.131 * [taylor]: Taking taylor expansion of 0 in im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.133 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.133 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (- 0) into 0 2.135 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.135 * [taylor]: Taking taylor expansion of 1/2 in im 2.135 * [backup-simplify]: Simplify 1/2 into 1/2 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.135 * [taylor]: Taking taylor expansion of im in im 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ (* 1/2 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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.138 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.138 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.140 * [backup-simplify]: Simplify (- 0) into 0 2.140 * [backup-simplify]: Simplify (+ 0 0) into 0 2.140 * [taylor]: Taking taylor expansion of 0 in im 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.142 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) into (+ (hypot re im) re) 2.142 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 2.142 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.142 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.142 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.142 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.142 * [taylor]: Taking taylor expansion of (* re re) in im 2.142 * [taylor]: Taking taylor expansion of re in im 2.142 * [backup-simplify]: Simplify re into re 2.142 * [taylor]: Taking taylor expansion of re in im 2.142 * [backup-simplify]: Simplify re into re 2.142 * [taylor]: Taking taylor expansion of (* im im) in im 2.142 * [taylor]: Taking taylor expansion of im in im 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [taylor]: Taking taylor expansion of im in im 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.143 * [backup-simplify]: Simplify (* 0 0) into 0 2.143 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.143 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.143 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.143 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.143 * [backup-simplify]: Simplify (+ 0 0) into 0 2.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.143 * [taylor]: Taking taylor expansion of re in im 2.143 * [backup-simplify]: Simplify re into re 2.143 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.144 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.144 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.144 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.144 * [taylor]: Taking taylor expansion of (* re re) in re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 2.144 * [taylor]: Taking taylor expansion of im in re 2.144 * [backup-simplify]: Simplify im into im 2.144 * [taylor]: Taking taylor expansion of im in re 2.144 * [backup-simplify]: Simplify im into im 2.144 * [backup-simplify]: Simplify (* 0 0) into 0 2.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.144 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.144 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.144 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.145 * [taylor]: Taking taylor expansion of re in re 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.145 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.145 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.145 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.145 * [taylor]: Taking taylor expansion of (* re re) in re 2.145 * [taylor]: Taking taylor expansion of re in re 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of re in re 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [taylor]: Taking taylor expansion of (* im im) in re 2.145 * [taylor]: Taking taylor expansion of im in re 2.145 * [backup-simplify]: Simplify im into im 2.145 * [taylor]: Taking taylor expansion of im in re 2.145 * [backup-simplify]: Simplify im into im 2.145 * [backup-simplify]: Simplify (* 0 0) into 0 2.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.146 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.146 * [taylor]: Taking taylor expansion of re in re 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (+ im 0) into im 2.146 * [taylor]: Taking taylor expansion of im in im 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify 0 into 0 2.147 * [backup-simplify]: Simplify (+ 0 1) into 1 2.147 * [taylor]: Taking taylor expansion of 1 in im 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.148 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.148 * [backup-simplify]: Simplify (+ 1 0) into 1 2.148 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.148 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.148 * [taylor]: Taking taylor expansion of 1/2 in im 2.148 * [backup-simplify]: Simplify 1/2 into 1/2 2.148 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.148 * [taylor]: Taking taylor expansion of im in im 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.152 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in im 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.156 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 2.156 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 2.156 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.156 * [taylor]: Taking taylor expansion of re in im 2.156 * [backup-simplify]: Simplify re into re 2.156 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.156 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.156 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.156 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.156 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.156 * [taylor]: Taking taylor expansion of re in im 2.156 * [backup-simplify]: Simplify re into re 2.156 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.156 * [taylor]: Taking taylor expansion of re in im 2.156 * [backup-simplify]: Simplify re into re 2.157 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.157 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.157 * [taylor]: Taking taylor expansion of im in im 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.157 * [taylor]: Taking taylor expansion of im in im 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.158 * [backup-simplify]: Simplify (/ 1 1) into 1 2.158 * [backup-simplify]: Simplify (* 1 1) into 1 2.158 * [backup-simplify]: Simplify (+ 0 1) into 1 2.159 * [backup-simplify]: Simplify (sqrt 1) into 1 2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.162 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.162 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.163 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.163 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.163 * [taylor]: Taking taylor expansion of re in re 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.163 * [taylor]: Taking taylor expansion of re in re 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ 1 1) into 1 2.164 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.164 * [taylor]: Taking taylor expansion of im in re 2.164 * [backup-simplify]: Simplify im into im 2.164 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.164 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.164 * [taylor]: Taking taylor expansion of im in re 2.164 * [backup-simplify]: Simplify im into im 2.164 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.164 * [backup-simplify]: Simplify (* 1 1) into 1 2.165 * [backup-simplify]: Simplify (+ 1 0) into 1 2.165 * [backup-simplify]: Simplify (sqrt 1) into 1 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.168 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.168 * [taylor]: Taking taylor expansion of re in re 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.169 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.169 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.169 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.169 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.169 * [taylor]: Taking taylor expansion of (/ 1 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 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.170 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.170 * [taylor]: Taking taylor expansion of im in re 2.170 * [backup-simplify]: Simplify im into im 2.170 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.170 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.170 * [taylor]: Taking taylor expansion of im in re 2.170 * [backup-simplify]: Simplify im into im 2.170 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.171 * [backup-simplify]: Simplify (+ 1 0) into 1 2.171 * [backup-simplify]: Simplify (sqrt 1) into 1 2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.175 * [backup-simplify]: Simplify (+ 1 1) into 2 2.175 * [taylor]: Taking taylor expansion of 2 in im 2.175 * [backup-simplify]: Simplify 2 into 2 2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ 0 0) into 0 2.176 * [taylor]: Taking taylor expansion of 0 in im 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 2 into 2 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.180 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.180 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.182 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.182 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.182 * [taylor]: Taking taylor expansion of 1/2 in im 2.182 * [backup-simplify]: Simplify 1/2 into 1/2 2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.182 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.182 * [taylor]: Taking taylor expansion of im in im 2.182 * [backup-simplify]: Simplify 0 into 0 2.182 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.189 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.189 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [taylor]: Taking taylor expansion of 0 in im 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.194 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 2.194 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 2.194 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.194 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.194 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.194 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.194 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.194 * [taylor]: Taking taylor expansion of -1 in im 2.194 * [backup-simplify]: Simplify -1 into -1 2.194 * [taylor]: Taking taylor expansion of re in im 2.194 * [backup-simplify]: Simplify re into re 2.194 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.194 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.194 * [taylor]: Taking taylor expansion of -1 in im 2.194 * [backup-simplify]: Simplify -1 into -1 2.194 * [taylor]: Taking taylor expansion of re in im 2.194 * [backup-simplify]: Simplify re into re 2.194 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.194 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.195 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.195 * [taylor]: Taking taylor expansion of -1 in im 2.195 * [backup-simplify]: Simplify -1 into -1 2.195 * [taylor]: Taking taylor expansion of im in im 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (/ -1 1) into -1 2.195 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.195 * [taylor]: Taking taylor expansion of -1 in im 2.195 * [backup-simplify]: Simplify -1 into -1 2.195 * [taylor]: Taking taylor expansion of im in im 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (/ -1 1) into -1 2.196 * [backup-simplify]: Simplify (* -1 -1) into 1 2.196 * [backup-simplify]: Simplify (+ 0 1) into 1 2.197 * [backup-simplify]: Simplify (sqrt 1) into 1 2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.200 * [taylor]: Taking taylor expansion of re in im 2.200 * [backup-simplify]: Simplify re into re 2.200 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.200 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.200 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.200 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.200 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.200 * [taylor]: Taking taylor expansion of -1 in re 2.200 * [backup-simplify]: Simplify -1 into -1 2.200 * [taylor]: Taking taylor expansion of re in re 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (/ -1 1) into -1 2.201 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.201 * [taylor]: Taking taylor expansion of -1 in re 2.201 * [backup-simplify]: Simplify -1 into -1 2.201 * [taylor]: Taking taylor expansion of re in re 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (/ -1 1) into -1 2.202 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.202 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.202 * [taylor]: Taking taylor expansion of -1 in re 2.202 * [backup-simplify]: Simplify -1 into -1 2.202 * [taylor]: Taking taylor expansion of im in re 2.202 * [backup-simplify]: Simplify im into im 2.202 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.202 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.202 * [taylor]: Taking taylor expansion of -1 in re 2.202 * [backup-simplify]: Simplify -1 into -1 2.202 * [taylor]: Taking taylor expansion of im in re 2.202 * [backup-simplify]: Simplify im into im 2.202 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.202 * [backup-simplify]: Simplify (* -1 -1) into 1 2.203 * [backup-simplify]: Simplify (+ 1 0) into 1 2.203 * [backup-simplify]: Simplify (sqrt 1) into 1 2.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 2.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.207 * [taylor]: Taking taylor expansion of re in re 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.208 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.208 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.208 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.208 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.208 * [taylor]: Taking taylor expansion of -1 in re 2.208 * [backup-simplify]: Simplify -1 into -1 2.208 * [taylor]: Taking taylor expansion of re in re 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (/ -1 1) into -1 2.209 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [backup-simplify]: Simplify -1 into -1 2.209 * [taylor]: Taking taylor expansion of re in re 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (/ -1 1) into -1 2.209 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.209 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.209 * [taylor]: Taking taylor expansion of -1 in re 2.209 * [backup-simplify]: Simplify -1 into -1 2.210 * [taylor]: Taking taylor expansion of im in re 2.210 * [backup-simplify]: Simplify im into im 2.210 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.210 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.210 * [taylor]: Taking taylor expansion of -1 in re 2.210 * [backup-simplify]: Simplify -1 into -1 2.210 * [taylor]: Taking taylor expansion of im in re 2.210 * [backup-simplify]: Simplify im into im 2.210 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.210 * [backup-simplify]: Simplify (* -1 -1) into 1 2.211 * [backup-simplify]: Simplify (+ 1 0) into 1 2.211 * [backup-simplify]: Simplify (sqrt 1) into 1 2.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.215 * [taylor]: Taking taylor expansion of re in re 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) into -1 2.216 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.216 * [taylor]: Taking taylor expansion of 0 in im 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (- 0) into 0 2.217 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [taylor]: Taking taylor expansion of 0 in im 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.220 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.221 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.222 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (- 0) into 0 2.223 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.223 * [taylor]: Taking taylor expansion of 1/2 in im 2.223 * [backup-simplify]: Simplify 1/2 into 1/2 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.223 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.223 * [taylor]: Taking taylor expansion of im in im 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.224 * [backup-simplify]: Simplify (* 1 1) into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.229 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.230 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (- 0) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [taylor]: Taking taylor expansion of 0 in im 2.232 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.235 * [backup-simplify]: Simplify (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 2.235 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 2.236 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 2.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.236 * [taylor]: Taking taylor expansion of 2.0 in im 2.236 * [backup-simplify]: Simplify 2.0 into 2.0 2.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.237 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 2.237 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 2.237 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.237 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.237 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.237 * [taylor]: Taking taylor expansion of (* re re) in im 2.237 * [taylor]: Taking taylor expansion of re in im 2.237 * [backup-simplify]: Simplify re into re 2.237 * [taylor]: Taking taylor expansion of re in im 2.237 * [backup-simplify]: Simplify re into re 2.237 * [taylor]: Taking taylor expansion of (* im im) in im 2.237 * [taylor]: Taking taylor expansion of im in im 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [taylor]: Taking taylor expansion of im in im 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 1 into 1 2.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.238 * [backup-simplify]: Simplify (* 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.238 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.238 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.238 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.239 * [taylor]: Taking taylor expansion of re in im 2.239 * [backup-simplify]: Simplify re into re 2.239 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.239 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 2.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.240 * [taylor]: Taking taylor expansion of 2.0 in re 2.240 * [backup-simplify]: Simplify 2.0 into 2.0 2.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.241 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 2.241 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.241 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.241 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.241 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.241 * [taylor]: Taking taylor expansion of (* re re) in re 2.241 * [taylor]: Taking taylor expansion of re in re 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [taylor]: Taking taylor expansion of re in re 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [taylor]: Taking taylor expansion of (* im im) in re 2.241 * [taylor]: Taking taylor expansion of im in re 2.241 * [backup-simplify]: Simplify im into im 2.241 * [taylor]: Taking taylor expansion of im in re 2.241 * [backup-simplify]: Simplify im into im 2.241 * [backup-simplify]: Simplify (* 0 0) into 0 2.242 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.242 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.242 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.247 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.247 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.248 * [backup-simplify]: Simplify (+ 0 0) into 0 2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.248 * [taylor]: Taking taylor expansion of re in re 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (+ im 0) into im 2.248 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.249 * [backup-simplify]: Simplify (+ 0 1) into 1 2.249 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 2.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.249 * [taylor]: Taking taylor expansion of 2.0 in re 2.249 * [backup-simplify]: Simplify 2.0 into 2.0 2.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.250 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 2.250 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 2.250 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.250 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.250 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.250 * [taylor]: Taking taylor expansion of (* re re) in re 2.250 * [taylor]: Taking taylor expansion of re in re 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [taylor]: Taking taylor expansion of re in re 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [taylor]: Taking taylor expansion of (* im im) in re 2.250 * [taylor]: Taking taylor expansion of im in re 2.250 * [backup-simplify]: Simplify im into im 2.250 * [taylor]: Taking taylor expansion of im in re 2.250 * [backup-simplify]: Simplify im into im 2.251 * [backup-simplify]: Simplify (* 0 0) into 0 2.251 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.251 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.251 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.252 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.252 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.253 * [taylor]: Taking taylor expansion of re in re 2.253 * [backup-simplify]: Simplify 0 into 0 2.253 * [backup-simplify]: Simplify 1 into 1 2.253 * [backup-simplify]: Simplify (+ im 0) into im 2.253 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 2.253 * [backup-simplify]: Simplify (+ 0 1) into 1 2.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 2.254 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 2.254 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 2.254 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.254 * [taylor]: Taking taylor expansion of 2.0 in im 2.254 * [backup-simplify]: Simplify 2.0 into 2.0 2.254 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.255 * [taylor]: Taking taylor expansion of (sqrt im) in im 2.255 * [taylor]: Taking taylor expansion of im in im 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 1 into 1 2.255 * [backup-simplify]: Simplify (sqrt 0) into 0 2.257 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.257 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 2.258 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 2.258 * [taylor]: Taking taylor expansion of 1/2 in im 2.258 * [backup-simplify]: Simplify 1/2 into 1/2 2.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 2.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.258 * [taylor]: Taking taylor expansion of 2.0 in im 2.258 * [backup-simplify]: Simplify 2.0 into 2.0 2.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 2.259 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.259 * [taylor]: Taking taylor expansion of im in im 2.259 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [backup-simplify]: Simplify (/ 1 1) into 1 2.260 * [backup-simplify]: Simplify (sqrt 0) into 0 2.261 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.264 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.264 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.269 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.271 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.273 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.273 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.273 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.274 * [backup-simplify]: Simplify (+ 1 0) into 1 2.274 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.274 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.275 * [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)))) 2.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.276 * [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))))) 2.276 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 2.276 * [taylor]: Taking taylor expansion of 1/8 in im 2.276 * [backup-simplify]: Simplify 1/8 into 1/8 2.276 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 2.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.276 * [taylor]: Taking taylor expansion of 2.0 in im 2.276 * [backup-simplify]: Simplify 2.0 into 2.0 2.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.276 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 2.276 * [taylor]: Taking taylor expansion of (pow im 3) in im 2.276 * [taylor]: Taking taylor expansion of im in im 2.276 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (* 1 1) into 1 2.277 * [backup-simplify]: Simplify (* 1 1) into 1 2.277 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [backup-simplify]: Simplify (sqrt 0) into 0 2.278 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.284 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.285 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.285 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.289 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.292 * [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))))))) 2.292 * [backup-simplify]: Simplify (sqrt (* (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 2.292 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 2.292 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 2.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.292 * [taylor]: Taking taylor expansion of 2.0 in im 2.292 * [backup-simplify]: Simplify 2.0 into 2.0 2.293 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 2.293 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 2.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.293 * [taylor]: Taking taylor expansion of re in im 2.293 * [backup-simplify]: Simplify re into re 2.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.293 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.293 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.293 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.293 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.293 * [taylor]: Taking taylor expansion of re in im 2.293 * [backup-simplify]: Simplify re into re 2.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.293 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.293 * [taylor]: Taking taylor expansion of re in im 2.293 * [backup-simplify]: Simplify re into re 2.293 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.293 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.293 * [taylor]: Taking taylor expansion of (/ 1 im) 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 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.294 * [taylor]: Taking taylor expansion of im in im 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [backup-simplify]: Simplify (* 1 1) into 1 2.294 * [backup-simplify]: Simplify (+ 0 1) into 1 2.295 * [backup-simplify]: Simplify (sqrt 1) into 1 2.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.297 * [backup-simplify]: Simplify (+ 0 1) into 1 2.297 * [backup-simplify]: Simplify (sqrt 0) into 0 2.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.298 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.298 * [taylor]: Taking taylor expansion of 2.0 in re 2.298 * [backup-simplify]: Simplify 2.0 into 2.0 2.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.299 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.299 * [taylor]: Taking taylor expansion of re in re 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (/ 1 1) into 1 2.299 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.299 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.299 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.299 * [taylor]: Taking taylor expansion of re in re 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (/ 1 1) into 1 2.300 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.300 * [taylor]: Taking taylor expansion of re in re 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [backup-simplify]: Simplify (/ 1 1) into 1 2.300 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.300 * [taylor]: Taking taylor expansion of im in re 2.300 * [backup-simplify]: Simplify im into im 2.300 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.300 * [taylor]: Taking taylor expansion of im in re 2.300 * [backup-simplify]: Simplify im into im 2.300 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.300 * [backup-simplify]: Simplify (* 1 1) into 1 2.300 * [backup-simplify]: Simplify (+ 1 0) into 1 2.301 * [backup-simplify]: Simplify (sqrt 1) into 1 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.302 * [backup-simplify]: Simplify (+ 0 0) into 0 2.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.303 * [backup-simplify]: Simplify (+ 1 1) into 2 2.303 * [backup-simplify]: Simplify (sqrt 0) into 0 2.304 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.304 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 2.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.304 * [taylor]: Taking taylor expansion of 2.0 in re 2.304 * [backup-simplify]: Simplify 2.0 into 2.0 2.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.305 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 2.305 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 2.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.305 * [taylor]: Taking taylor expansion of re in re 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.305 * [backup-simplify]: Simplify (/ 1 1) into 1 2.305 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.305 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.305 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.305 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.305 * [taylor]: Taking taylor expansion of re in re 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (/ 1 1) into 1 2.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.306 * [taylor]: Taking taylor expansion of re in re 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify 1 into 1 2.306 * [backup-simplify]: Simplify (/ 1 1) into 1 2.306 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.306 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.306 * [taylor]: Taking taylor expansion of im in re 2.306 * [backup-simplify]: Simplify im into im 2.307 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.307 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.307 * [taylor]: Taking taylor expansion of im in re 2.307 * [backup-simplify]: Simplify im into im 2.307 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.307 * [backup-simplify]: Simplify (* 1 1) into 1 2.308 * [backup-simplify]: Simplify (+ 1 0) into 1 2.308 * [backup-simplify]: Simplify (sqrt 1) into 1 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.310 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.312 * [backup-simplify]: Simplify (+ 1 1) into 2 2.312 * [backup-simplify]: Simplify (sqrt 0) into 0 2.313 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 2.314 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.314 * [taylor]: Taking taylor expansion of 0 in im 2.314 * [backup-simplify]: Simplify 0 into 0 2.316 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.316 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.316 * [taylor]: Taking taylor expansion of +nan.0 in im 2.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.316 * [taylor]: Taking taylor expansion of 2.0 in im 2.316 * [backup-simplify]: Simplify 2.0 into 2.0 2.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.318 * [backup-simplify]: Simplify (+ 0 0) into 0 2.321 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.323 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.325 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 2.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 2.325 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.325 * [taylor]: Taking taylor expansion of +nan.0 in im 2.325 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.325 * [taylor]: Taking taylor expansion of 2.0 in im 2.325 * [backup-simplify]: Simplify 2.0 into 2.0 2.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.327 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.329 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.330 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.330 * [backup-simplify]: Simplify 0 into 0 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 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 1))) into 0 2.334 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.336 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.336 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.338 * [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)) 2.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.341 * [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)))))) 2.341 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 2.341 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 2.341 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.341 * [taylor]: Taking taylor expansion of +nan.0 in im 2.341 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.341 * [taylor]: Taking taylor expansion of 2.0 in im 2.341 * [backup-simplify]: Simplify 2.0 into 2.0 2.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.342 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.342 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.342 * [taylor]: Taking taylor expansion of +nan.0 in im 2.342 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.342 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.342 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.342 * [taylor]: Taking taylor expansion of 2.0 in im 2.342 * [backup-simplify]: Simplify 2.0 into 2.0 2.343 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.343 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.343 * [taylor]: Taking taylor expansion of im in im 2.343 * [backup-simplify]: Simplify 0 into 0 2.343 * [backup-simplify]: Simplify 1 into 1 2.344 * [backup-simplify]: Simplify (* 1 1) into 1 2.345 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.347 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.348 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify (+ 0 0) into 0 2.348 * [backup-simplify]: Simplify (- 0) into 0 2.348 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.351 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.352 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.353 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.354 * [backup-simplify]: Simplify (- 0) into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.358 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.358 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.361 * [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))) 2.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.364 * [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)))))) 2.364 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 2.364 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 2.365 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 2.365 * [taylor]: Taking taylor expansion of +nan.0 in im 2.365 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.365 * [taylor]: Taking taylor expansion of 2.0 in im 2.365 * [backup-simplify]: Simplify 2.0 into 2.0 2.365 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.366 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.366 * [taylor]: Taking taylor expansion of +nan.0 in im 2.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.366 * [taylor]: Taking taylor expansion of 2.0 in im 2.366 * [backup-simplify]: Simplify 2.0 into 2.0 2.372 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.373 * [taylor]: Taking taylor expansion of im in im 2.373 * [backup-simplify]: Simplify 0 into 0 2.373 * [backup-simplify]: Simplify 1 into 1 2.373 * [backup-simplify]: Simplify (* 1 1) into 1 2.374 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.377 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify (+ 0 0) into 0 2.378 * [backup-simplify]: Simplify (- 0) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.380 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.384 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.384 * [backup-simplify]: Simplify (- 0) into 0 2.386 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.388 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.390 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.395 * [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)))))))) 2.395 * [backup-simplify]: Simplify (sqrt (* (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 2.395 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 2.395 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 2.395 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.395 * [taylor]: Taking taylor expansion of 2.0 in im 2.395 * [backup-simplify]: Simplify 2.0 into 2.0 2.396 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.396 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 2.397 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 2.397 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.397 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.397 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.397 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.397 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.397 * [taylor]: Taking taylor expansion of -1 in im 2.397 * [backup-simplify]: Simplify -1 into -1 2.397 * [taylor]: Taking taylor expansion of re in im 2.397 * [backup-simplify]: Simplify re into re 2.397 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.397 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.397 * [taylor]: Taking taylor expansion of -1 in im 2.397 * [backup-simplify]: Simplify -1 into -1 2.397 * [taylor]: Taking taylor expansion of re in im 2.397 * [backup-simplify]: Simplify re into re 2.397 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.397 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.397 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.397 * [taylor]: Taking taylor expansion of -1 in im 2.397 * [backup-simplify]: Simplify -1 into -1 2.397 * [taylor]: Taking taylor expansion of im in im 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (/ -1 1) into -1 2.398 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.398 * [taylor]: Taking taylor expansion of -1 in im 2.398 * [backup-simplify]: Simplify -1 into -1 2.398 * [taylor]: Taking taylor expansion of im in im 2.398 * [backup-simplify]: Simplify 0 into 0 2.398 * [backup-simplify]: Simplify 1 into 1 2.398 * [backup-simplify]: Simplify (/ -1 1) into -1 2.399 * [backup-simplify]: Simplify (* -1 -1) into 1 2.399 * [backup-simplify]: Simplify (+ 0 1) into 1 2.399 * [backup-simplify]: Simplify (sqrt 1) into 1 2.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.402 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.402 * [backup-simplify]: Simplify (+ 0 0) into 0 2.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.403 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.403 * [taylor]: Taking taylor expansion of re in im 2.403 * [backup-simplify]: Simplify re into re 2.403 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.403 * [backup-simplify]: Simplify (+ 1 0) into 1 2.404 * [backup-simplify]: Simplify (sqrt 0) into 0 2.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.405 * [taylor]: Taking taylor expansion of 2.0 in re 2.405 * [backup-simplify]: Simplify 2.0 into 2.0 2.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.407 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.407 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.407 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.407 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.407 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.407 * [taylor]: Taking taylor expansion of -1 in re 2.407 * [backup-simplify]: Simplify -1 into -1 2.407 * [taylor]: Taking taylor expansion of re in re 2.407 * [backup-simplify]: Simplify 0 into 0 2.407 * [backup-simplify]: Simplify 1 into 1 2.407 * [backup-simplify]: Simplify (/ -1 1) into -1 2.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.407 * [taylor]: Taking taylor expansion of -1 in re 2.407 * [backup-simplify]: Simplify -1 into -1 2.408 * [taylor]: Taking taylor expansion of re in re 2.408 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify 1 into 1 2.408 * [backup-simplify]: Simplify (/ -1 1) into -1 2.408 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.408 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.408 * [taylor]: Taking taylor expansion of -1 in re 2.408 * [backup-simplify]: Simplify -1 into -1 2.408 * [taylor]: Taking taylor expansion of im in re 2.408 * [backup-simplify]: Simplify im into im 2.408 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.408 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.408 * [taylor]: Taking taylor expansion of -1 in re 2.408 * [backup-simplify]: Simplify -1 into -1 2.408 * [taylor]: Taking taylor expansion of im in re 2.408 * [backup-simplify]: Simplify im into im 2.408 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.409 * [backup-simplify]: Simplify (* -1 -1) into 1 2.409 * [backup-simplify]: Simplify (+ 1 0) into 1 2.410 * [backup-simplify]: Simplify (sqrt 1) into 1 2.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.412 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.412 * [backup-simplify]: Simplify (+ 0 0) into 0 2.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.413 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.413 * [taylor]: Taking taylor expansion of re in re 2.413 * [backup-simplify]: Simplify 0 into 0 2.413 * [backup-simplify]: Simplify 1 into 1 2.414 * [backup-simplify]: Simplify (/ 1 1) into 1 2.414 * [backup-simplify]: Simplify (- 1) into -1 2.414 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.416 * [backup-simplify]: Simplify (- 0) into 0 2.416 * [backup-simplify]: Simplify (+ 0 0) into 0 2.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.419 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.422 * [backup-simplify]: Simplify (- 0) into 0 2.422 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.422 * [backup-simplify]: Simplify (sqrt 0) into 0 2.423 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.423 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 2.423 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.423 * [taylor]: Taking taylor expansion of 2.0 in re 2.423 * [backup-simplify]: Simplify 2.0 into 2.0 2.423 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.424 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 2.424 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.424 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.424 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.424 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.424 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.424 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.424 * [taylor]: Taking taylor expansion of -1 in re 2.424 * [backup-simplify]: Simplify -1 into -1 2.424 * [taylor]: Taking taylor expansion of re in re 2.424 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ -1 1) into -1 2.425 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.425 * [taylor]: Taking taylor expansion of -1 in re 2.425 * [backup-simplify]: Simplify -1 into -1 2.425 * [taylor]: Taking taylor expansion of re in re 2.425 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify 1 into 1 2.425 * [backup-simplify]: Simplify (/ -1 1) into -1 2.425 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.426 * [taylor]: Taking taylor expansion of -1 in re 2.426 * [backup-simplify]: Simplify -1 into -1 2.426 * [taylor]: Taking taylor expansion of im in re 2.426 * [backup-simplify]: Simplify im into im 2.426 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.426 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.426 * [taylor]: Taking taylor expansion of -1 in re 2.426 * [backup-simplify]: Simplify -1 into -1 2.426 * [taylor]: Taking taylor expansion of im in re 2.426 * [backup-simplify]: Simplify im into im 2.426 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.426 * [backup-simplify]: Simplify (* -1 -1) into 1 2.427 * [backup-simplify]: Simplify (+ 1 0) into 1 2.427 * [backup-simplify]: Simplify (sqrt 1) into 1 2.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.430 * [backup-simplify]: Simplify (+ 0 0) into 0 2.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.431 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.431 * [taylor]: Taking taylor expansion of re in re 2.431 * [backup-simplify]: Simplify 0 into 0 2.431 * [backup-simplify]: Simplify 1 into 1 2.431 * [backup-simplify]: Simplify (/ 1 1) into 1 2.432 * [backup-simplify]: Simplify (- 1) into -1 2.432 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.433 * [backup-simplify]: Simplify (- 0) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.436 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.437 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.438 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (- 0) into 0 2.439 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.440 * [backup-simplify]: Simplify (sqrt 0) into 0 2.440 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 2.441 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.441 * [taylor]: Taking taylor expansion of 0 in im 2.441 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 2.442 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 2.442 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 2.442 * [taylor]: Taking taylor expansion of +nan.0 in im 2.442 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.442 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 2.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.442 * [taylor]: Taking taylor expansion of 2.0 in im 2.442 * [backup-simplify]: Simplify 2.0 into 2.0 2.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.443 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.443 * [taylor]: Taking taylor expansion of im in im 2.443 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify 1 into 1 2.444 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.447 * [backup-simplify]: Simplify (- 0) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.451 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.451 * [backup-simplify]: Simplify (+ 0 0) into 0 2.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (- 0) into 0 2.453 * [backup-simplify]: Simplify (+ 0 0) into 0 2.454 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 2.455 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.456 * [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)))) 2.456 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 2.456 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.456 * [taylor]: Taking taylor expansion of +nan.0 in im 2.456 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.456 * [taylor]: Taking taylor expansion of 2.0 in im 2.457 * [backup-simplify]: Simplify 2.0 into 2.0 2.457 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.458 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.458 * [taylor]: Taking taylor expansion of im in im 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (* 1 1) into 1 2.459 * [backup-simplify]: Simplify (* 1 1) into 1 2.459 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.461 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.472 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.472 * [backup-simplify]: Simplify (- 0) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.477 * [backup-simplify]: Simplify (- 0) into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.482 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 2.482 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 2.483 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (- 0) into 0 2.486 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 2.486 * [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))))) 2.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.489 * [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)))))) 2.489 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 2.489 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 2.489 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 2.489 * [taylor]: Taking taylor expansion of +nan.0 in im 2.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.489 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 2.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.489 * [taylor]: Taking taylor expansion of 2.0 in im 2.489 * [backup-simplify]: Simplify 2.0 into 2.0 2.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.490 * [taylor]: Taking taylor expansion of (pow im 4) in im 2.490 * [taylor]: Taking taylor expansion of im in im 2.490 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (* 1 1) into 1 2.491 * [backup-simplify]: Simplify (* 1 1) into 1 2.493 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.493 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 2.493 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 2.493 * [taylor]: Taking taylor expansion of +nan.0 in im 2.493 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.493 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 2.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.493 * [taylor]: Taking taylor expansion of 2.0 in im 2.493 * [backup-simplify]: Simplify 2.0 into 2.0 2.493 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.494 * [taylor]: Taking taylor expansion of (pow im 6) in im 2.494 * [taylor]: Taking taylor expansion of im in im 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.498 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.508 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 2.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.518 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.542 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 2.542 * [backup-simplify]: Simplify (- 0) into 0 2.542 * [backup-simplify]: Simplify (+ 0 0) into 0 2.543 * [backup-simplify]: Simplify (- 0) into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify 0 into 0 2.543 * * * [progress]: simplifying candidates 2.543 * * * * [progress]: [ 1 / 136 ] simplifiying candidate # 2.543 * * * * [progress]: [ 2 / 136 ] simplifiying candidate # 2.543 * * * * [progress]: [ 3 / 136 ] simplifiying candidate # 2.544 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2.544 * * [simplify]: iters left: 4 (5 enodes) 2.546 * * [simplify]: iters left: 3 (15 enodes) 2.550 * * [simplify]: Extracting #0: cost 1 inf + 0 2.550 * * [simplify]: Extracting #1: cost 3 inf + 0 2.550 * * [simplify]: Extracting #2: cost 5 inf + 0 2.550 * * [simplify]: Extracting #3: cost 8 inf + 0 2.550 * * [simplify]: Extracting #4: cost 6 inf + 2 2.550 * * [simplify]: Extracting #5: cost 0 inf + 744 2.551 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2.551 * [simplify]: Simplified (2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re))) 2.0)))) 2.551 * * * * [progress]: [ 4 / 136 ] simplifiying candidate # 2.551 * [simplify]: Simplifying (sqrt (hypot re im)) 2.551 * * [simplify]: iters left: 2 (4 enodes) 2.553 * * [simplify]: iters left: 1 (12 enodes) 2.556 * * [simplify]: Extracting #0: cost 1 inf + 0 2.556 * * [simplify]: Extracting #1: cost 3 inf + 0 2.556 * * [simplify]: Extracting #2: cost 6 inf + 0 2.556 * * [simplify]: Extracting #3: cost 4 inf + 2 2.556 * * [simplify]: Extracting #4: cost 0 inf + 310 2.557 * [simplify]: Simplified to (sqrt (hypot re im)) 2.557 * [simplify]: Simplified (2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) 2.0)))) 2.557 * * * * [progress]: [ 5 / 136 ] simplifiying candidate # 2.557 * * * * [progress]: [ 6 / 136 ] simplifiying candidate # 2.557 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 2.557 * * [simplify]: iters left: 4 (6 enodes) 2.560 * * [simplify]: iters left: 3 (21 enodes) 2.566 * * [simplify]: iters left: 2 (25 enodes) 2.572 * * [simplify]: Extracting #0: cost 1 inf + 0 2.572 * * [simplify]: Extracting #1: cost 5 inf + 0 2.572 * * [simplify]: Extracting #2: cost 10 inf + 0 2.572 * * [simplify]: Extracting #3: cost 9 inf + 143 2.572 * * [simplify]: Extracting #4: cost 8 inf + 144 2.573 * * [simplify]: Extracting #5: cost 0 inf + 1180 2.573 * * [simplify]: Extracting #6: cost 0 inf + 1040 2.573 * [simplify]: Simplified to (exp (+ re (hypot re im))) 2.573 * [simplify]: Simplified (2 2 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (log (exp (+ re (hypot re im)))))) 2.0)))) 2.573 * * * * [progress]: [ 7 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 8 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 9 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 10 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 11 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 12 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 13 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 14 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 15 / 136 ] simplifiying candidate # 2.574 * * * * [progress]: [ 16 / 136 ] simplifiying candidate # 2.574 * [simplify]: Simplifying (+ (hypot re im) re) 2.574 * * [simplify]: iters left: 3 (4 enodes) 2.576 * * [simplify]: iters left: 2 (13 enodes) 2.580 * * [simplify]: Extracting #0: cost 1 inf + 0 2.580 * * [simplify]: Extracting #1: cost 4 inf + 0 2.580 * * [simplify]: Extracting #2: cost 5 inf + 1 2.580 * * [simplify]: Extracting #3: cost 4 inf + 2 2.580 * * [simplify]: Extracting #4: cost 0 inf + 310 2.580 * [simplify]: Simplified to (+ re (hypot re im)) 2.581 * [simplify]: Simplified (2 2 1 1 2 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (* 1 (+ re (hypot re im))))) 2.0)))) 2.581 * * * * [progress]: [ 17 / 136 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))))) 2.0))))> 2.581 * * * * [progress]: [ 18 / 136 ] simplifiying candidate # 2.581 * * * * [progress]: [ 19 / 136 ] simplifiying candidate # 2.581 * * * * [progress]: [ 20 / 136 ] simplifiying candidate # 2.581 * * * * [progress]: [ 21 / 136 ] simplifiying candidate # 2.581 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2.581 * * [simplify]: iters left: 4 (5 enodes) 2.583 * * [simplify]: iters left: 3 (15 enodes) 2.587 * * [simplify]: Extracting #0: cost 1 inf + 0 2.587 * * [simplify]: Extracting #1: cost 3 inf + 0 2.588 * * [simplify]: Extracting #2: cost 5 inf + 0 2.588 * * [simplify]: Extracting #3: cost 8 inf + 0 2.588 * * [simplify]: Extracting #4: cost 6 inf + 2 2.588 * * [simplify]: Extracting #5: cost 0 inf + 744 2.588 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2.588 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))) 2.0)))) 2.588 * * * * [progress]: [ 22 / 136 ] simplifiying candidate # 2.589 * [simplify]: Simplifying (sqrt (hypot re im)) 2.589 * * [simplify]: iters left: 2 (4 enodes) 2.590 * * [simplify]: iters left: 1 (12 enodes) 2.593 * * [simplify]: Extracting #0: cost 1 inf + 0 2.593 * * [simplify]: Extracting #1: cost 3 inf + 0 2.593 * * [simplify]: Extracting #2: cost 6 inf + 0 2.593 * * [simplify]: Extracting #3: cost 4 inf + 2 2.594 * * [simplify]: Extracting #4: cost 0 inf + 310 2.594 * [simplify]: Simplified to (sqrt (hypot re im)) 2.594 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt (+ (hypot re im) re))) 2.0)))) 2.594 * * * * [progress]: [ 23 / 136 ] simplifiying candidate # 2.594 * * * * [progress]: [ 24 / 136 ] simplifiying candidate # 2.594 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 2.594 * * [simplify]: iters left: 4 (6 enodes) 2.597 * * [simplify]: iters left: 3 (21 enodes) 2.603 * * [simplify]: iters left: 2 (25 enodes) 2.609 * * [simplify]: Extracting #0: cost 1 inf + 0 2.609 * * [simplify]: Extracting #1: cost 5 inf + 0 2.609 * * [simplify]: Extracting #2: cost 10 inf + 0 2.609 * * [simplify]: Extracting #3: cost 9 inf + 143 2.609 * * [simplify]: Extracting #4: cost 8 inf + 144 2.610 * * [simplify]: Extracting #5: cost 0 inf + 1180 2.610 * * [simplify]: Extracting #6: cost 0 inf + 1040 2.610 * [simplify]: Simplified to (exp (+ re (hypot re im))) 2.610 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (log (exp (+ re (hypot re im))))) (sqrt (+ (hypot re im) re))) 2.0)))) 2.611 * * * * [progress]: [ 25 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 26 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 27 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 28 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 29 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 30 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 31 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 32 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 33 / 136 ] simplifiying candidate # 2.611 * * * * [progress]: [ 34 / 136 ] simplifiying candidate # 2.612 * [simplify]: Simplifying (+ (hypot re im) re) 2.612 * * [simplify]: iters left: 3 (4 enodes) 2.613 * * [simplify]: iters left: 2 (13 enodes) 2.617 * * [simplify]: Extracting #0: cost 1 inf + 0 2.617 * * [simplify]: Extracting #1: cost 4 inf + 0 2.617 * * [simplify]: Extracting #2: cost 5 inf + 1 2.617 * * [simplify]: Extracting #3: cost 4 inf + 2 2.617 * * [simplify]: Extracting #4: cost 0 inf + 310 2.617 * [simplify]: Simplified to (+ re (hypot re im)) 2.617 * [simplify]: Simplified (2 2 1 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* 1 (+ re (hypot re im)))) (sqrt (+ (hypot re im) re))) 2.0)))) 2.617 * * * * [progress]: [ 35 / 136 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re)))) (sqrt (+ (hypot re im) re))) 2.0))))> 2.617 * * * * [progress]: [ 36 / 136 ] simplifiying candidate # 2.617 * * * * [progress]: [ 37 / 136 ] simplifiying candidate # 2.618 * * * * [progress]: [ 38 / 136 ] simplifiying candidate # 2.618 * * * * [progress]: [ 39 / 136 ] simplifiying candidate # 2.618 * [simplify]: Simplifying (+ (hypot re im) re) 2.618 * * [simplify]: iters left: 3 (4 enodes) 2.620 * * [simplify]: iters left: 2 (13 enodes) 2.622 * * [simplify]: Extracting #0: cost 1 inf + 0 2.622 * * [simplify]: Extracting #1: cost 4 inf + 0 2.622 * * [simplify]: Extracting #2: cost 5 inf + 1 2.622 * * [simplify]: Extracting #3: cost 4 inf + 2 2.622 * * [simplify]: Extracting #4: cost 0 inf + 310 2.622 * [simplify]: Simplified to (+ re (hypot re im)) 2.622 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) (+ 1/2 1/2)) 2.0)))) 2.622 * [simplify]: Simplifying (+ 1/2 1/2) 2.622 * * [simplify]: iters left: 2 (2 enodes) 2.624 * * [simplify]: iters left: 1 (7 enodes) 2.625 * * [simplify]: Extracting #0: cost 1 inf + 0 2.625 * * [simplify]: Extracting #1: cost 0 inf + 1 2.625 * [simplify]: Simplified to 1 2.625 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (+ (hypot re im) re) 1) 2.0)))) 2.625 * * * * [progress]: [ 40 / 136 ] simplifiying candidate # 2.625 * [simplify]: Simplifying (+ (hypot re im) re) 2.625 * * [simplify]: iters left: 3 (4 enodes) 2.626 * * [simplify]: iters left: 2 (13 enodes) 2.628 * * [simplify]: Extracting #0: cost 1 inf + 0 2.628 * * [simplify]: Extracting #1: cost 4 inf + 0 2.628 * * [simplify]: Extracting #2: cost 5 inf + 1 2.628 * * [simplify]: Extracting #3: cost 4 inf + 2 2.628 * * [simplify]: Extracting #4: cost 0 inf + 310 2.628 * [simplify]: Simplified to (+ re (hypot re im)) 2.628 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) (+ 1/2 (/ 1 2))) 2.0)))) 2.628 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 2.628 * * [simplify]: iters left: 4 (5 enodes) 2.631 * * [simplify]: iters left: 3 (18 enodes) 2.635 * * [simplify]: iters left: 2 (20 enodes) 2.638 * * [simplify]: Extracting #0: cost 1 inf + 0 2.638 * * [simplify]: Extracting #1: cost 0 inf + 1 2.638 * [simplify]: Simplified to 1 2.638 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (+ (hypot re im) re) 1) 2.0)))) 2.638 * * * * [progress]: [ 41 / 136 ] simplifiying candidate # 2.638 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 2.638 * * [simplify]: iters left: 4 (5 enodes) 2.639 * * [simplify]: iters left: 3 (16 enodes) 2.641 * * [simplify]: Extracting #0: cost 1 inf + 0 2.641 * * [simplify]: Extracting #1: cost 3 inf + 0 2.641 * * [simplify]: Extracting #2: cost 6 inf + 0 2.641 * * [simplify]: Extracting #3: cost 7 inf + 1 2.641 * * [simplify]: Extracting #4: cost 0 inf + 584 2.642 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 2.642 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (+ re (hypot re im))) (+ 1 1)) 2.0)))) 2.642 * [simplify]: Simplifying (+ 1 1) 2.642 * * [simplify]: iters left: 2 (2 enodes) 2.643 * * [simplify]: iters left: 1 (9 enodes) 2.645 * * [simplify]: Extracting #0: cost 1 inf + 0 2.645 * * [simplify]: Extracting #1: cost 0 inf + 1 2.645 * [simplify]: Simplified to 2 2.645 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (+ (hypot re im) re)) 2) 2.0)))) 2.645 * * * * [progress]: [ 42 / 136 ] simplifiying candidate # 2.645 * [simplify]: Simplifying (+ (hypot re im) re) 2.645 * * [simplify]: iters left: 3 (4 enodes) 2.646 * * [simplify]: iters left: 2 (13 enodes) 2.648 * * [simplify]: Extracting #0: cost 1 inf + 0 2.648 * * [simplify]: Extracting #1: cost 4 inf + 0 2.648 * * [simplify]: Extracting #2: cost 5 inf + 1 2.648 * * [simplify]: Extracting #3: cost 4 inf + 2 2.648 * * [simplify]: Extracting #4: cost 0 inf + 310 2.648 * [simplify]: Simplified to (+ re (hypot re im)) 2.648 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) (+ (/ 1 2) 1/2)) 2.0)))) 2.648 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 2.648 * * [simplify]: iters left: 4 (5 enodes) 2.656 * * [simplify]: iters left: 3 (18 enodes) 2.659 * * [simplify]: iters left: 2 (20 enodes) 2.662 * * [simplify]: Extracting #0: cost 1 inf + 0 2.662 * * [simplify]: Extracting #1: cost 0 inf + 1 2.662 * [simplify]: Simplified to 1 2.662 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (+ (hypot re im) re) 1) 2.0)))) 2.662 * * * * [progress]: [ 43 / 136 ] simplifiying candidate # 2.662 * [simplify]: Simplifying (+ (hypot re im) re) 2.662 * * [simplify]: iters left: 3 (4 enodes) 2.663 * * [simplify]: iters left: 2 (13 enodes) 2.665 * * [simplify]: Extracting #0: cost 1 inf + 0 2.665 * * [simplify]: Extracting #1: cost 4 inf + 0 2.665 * * [simplify]: Extracting #2: cost 5 inf + 1 2.665 * * [simplify]: Extracting #3: cost 4 inf + 2 2.665 * * [simplify]: Extracting #4: cost 0 inf + 310 2.665 * [simplify]: Simplified to (+ re (hypot re im)) 2.665 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) (+ (/ 1 2) (/ 1 2))) 2.0)))) 2.665 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 2.665 * * [simplify]: iters left: 4 (4 enodes) 2.667 * * [simplify]: iters left: 3 (15 enodes) 2.670 * * [simplify]: iters left: 2 (17 enodes) 2.673 * * [simplify]: Extracting #0: cost 1 inf + 0 2.673 * * [simplify]: Extracting #1: cost 0 inf + 1 2.673 * [simplify]: Simplified to 1 2.673 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (+ (hypot re im) re) 1) 2.0)))) 2.673 * * * * [progress]: [ 44 / 136 ] simplifiying candidate # 2.673 * [simplify]: Simplifying (* (+ (hypot re im) re) (+ (hypot re im) re)) 2.673 * * [simplify]: iters left: 5 (5 enodes) 2.674 * * [simplify]: iters left: 4 (22 enodes) 2.680 * * [simplify]: iters left: 3 (46 enodes) 2.695 * * [simplify]: iters left: 2 (92 enodes) 2.715 * * [simplify]: iters left: 1 (142 enodes) 2.732 * * [simplify]: Extracting #0: cost 1 inf + 0 2.732 * * [simplify]: Extracting #1: cost 15 inf + 0 2.732 * * [simplify]: Extracting #2: cost 31 inf + 1 2.733 * * [simplify]: Extracting #3: cost 30 inf + 84 2.733 * * [simplify]: Extracting #4: cost 8 inf + 2867 2.735 * * [simplify]: Extracting #5: cost 0 inf + 3988 2.736 * * [simplify]: Extracting #6: cost 0 inf + 3958 2.737 * [simplify]: Simplified to (* (+ re (hypot re im)) (+ re (hypot re im))) 2.737 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (* (+ re (hypot re im)) (+ re (hypot re im))) 1/2) 2.0)))) 2.737 * * * * [progress]: [ 45 / 136 ] simplifiying candidate # 2.737 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.737 * * [simplify]: iters left: 6 (6 enodes) 2.740 * * [simplify]: iters left: 5 (17 enodes) 2.742 * * [simplify]: iters left: 4 (18 enodes) 2.744 * * [simplify]: Extracting #0: cost 1 inf + 0 2.744 * * [simplify]: Extracting #1: cost 5 inf + 0 2.744 * * [simplify]: Extracting #2: cost 7 inf + 1 2.745 * * [simplify]: Extracting #3: cost 2 inf + 310 2.745 * * [simplify]: Extracting #4: cost 0 inf + 584 2.745 * [simplify]: Simplified to (+ re (hypot re im)) 2.745 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) 1) 2.0)))) 2.745 * * * * [progress]: [ 46 / 136 ] simplifiying candidate # 2.745 * [simplify]: Simplifying (* (+ (hypot re im) re) (+ (hypot re im) re)) 2.745 * * [simplify]: iters left: 5 (5 enodes) 2.746 * * [simplify]: iters left: 4 (22 enodes) 2.750 * * [simplify]: iters left: 3 (46 enodes) 2.758 * * [simplify]: iters left: 2 (92 enodes) 2.780 * * [simplify]: iters left: 1 (142 enodes) 2.813 * * [simplify]: Extracting #0: cost 1 inf + 0 2.813 * * [simplify]: Extracting #1: cost 15 inf + 0 2.814 * * [simplify]: Extracting #2: cost 31 inf + 1 2.814 * * [simplify]: Extracting #3: cost 30 inf + 84 2.815 * * [simplify]: Extracting #4: cost 8 inf + 2867 2.816 * * [simplify]: Extracting #5: cost 0 inf + 3988 2.817 * * [simplify]: Extracting #6: cost 0 inf + 3958 2.818 * [simplify]: Simplified to (* (+ re (hypot re im)) (+ re (hypot re im))) 2.818 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (* (+ re (hypot re im)) (+ re (hypot re im))) (/ 1 2)) 2.0)))) 2.819 * [simplify]: Simplifying (/ 1 2) 2.819 * * [simplify]: iters left: 2 (3 enodes) 2.821 * * [simplify]: iters left: 1 (12 enodes) 2.823 * * [simplify]: Extracting #0: cost 1 inf + 0 2.823 * * [simplify]: Extracting #1: cost 0 inf + 1 2.823 * [simplify]: Simplified to 1/2 2.823 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (* (+ (hypot re im) re) (+ (hypot re im) re)) 1/2) 2.0)))) 2.823 * * * * [progress]: [ 47 / 136 ] simplifiying candidate # 2.823 * * * * [progress]: [ 48 / 136 ] simplifiying candidate # 2.823 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 2.823 * * [simplify]: iters left: 4 (5 enodes) 2.824 * * [simplify]: iters left: 3 (16 enodes) 2.826 * * [simplify]: Extracting #0: cost 1 inf + 0 2.826 * * [simplify]: Extracting #1: cost 3 inf + 0 2.826 * * [simplify]: Extracting #2: cost 6 inf + 0 2.826 * * [simplify]: Extracting #3: cost 7 inf + 1 2.826 * * [simplify]: Extracting #4: cost 0 inf + 584 2.826 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 2.827 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (+ re (hypot re im))) (+ 1 1)) 2.0)))) 2.827 * * * * [progress]: [ 49 / 136 ] simplifiying candidate # 2.827 * * * * [progress]: [ 50 / 136 ] simplifiying candidate # 2.827 * [simplify]: Simplifying (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt (+ (hypot re im) re)))) 2.827 * * [simplify]: iters left: 6 (7 enodes) 2.828 * * [simplify]: iters left: 5 (22 enodes) 2.831 * * [simplify]: Extracting #0: cost 1 inf + 0 2.831 * * [simplify]: Extracting #1: cost 3 inf + 0 2.831 * * [simplify]: Extracting #2: cost 5 inf + 0 2.831 * * [simplify]: Extracting #3: cost 7 inf + 0 2.831 * * [simplify]: Extracting #4: cost 10 inf + 0 2.831 * * [simplify]: Extracting #5: cost 11 inf + 1 2.831 * * [simplify]: Extracting #6: cost 10 inf + 2 2.831 * * [simplify]: Extracting #7: cost 1 inf + 1245 2.833 * * [simplify]: Extracting #8: cost 0 inf + 1492 2.833 * [simplify]: Simplified to (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im))))) 2.833 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (exp (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt (+ re (hypot re im)))))) 2.0)))) 2.833 * * * * [progress]: [ 51 / 136 ] simplifiying candidate # 2.833 * * * * [progress]: [ 52 / 136 ] simplifiying candidate # 2.833 * * * * [progress]: [ 53 / 136 ] simplifiying candidate # 2.833 * [simplify]: Simplifying (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) 2.833 * * [simplify]: iters left: 6 (8 enodes) 2.835 * * [simplify]: iters left: 5 (30 enodes) 2.841 * * [simplify]: iters left: 4 (78 enodes) 2.893 * * [simplify]: iters left: 3 (313 enodes) 3.029 * * [simplify]: Extracting #0: cost 1 inf + 0 3.030 * * [simplify]: Extracting #1: cost 33 inf + 0 3.030 * * [simplify]: Extracting #2: cost 144 inf + 3 3.032 * * [simplify]: Extracting #3: cost 132 inf + 2073 3.039 * * [simplify]: Extracting #4: cost 66 inf + 14902 3.051 * * [simplify]: Extracting #5: cost 19 inf + 27498 3.066 * * [simplify]: Extracting #6: cost 0 inf + 33207 3.077 * [simplify]: Simplified to (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) 3.077 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (cbrt (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im)))) 2.0)))) 3.077 * * * * [progress]: [ 54 / 136 ] simplifiying candidate # 3.077 * * * * [progress]: [ 55 / 136 ] simplifiying candidate # 3.077 * * * * [progress]: [ 56 / 136 ] simplifiying candidate # 3.077 * [simplify]: Simplifying (* (+ (hypot re im) re) (+ (hypot re im) re)) 3.077 * * [simplify]: iters left: 5 (5 enodes) 3.078 * * [simplify]: iters left: 4 (22 enodes) 3.082 * * [simplify]: iters left: 3 (46 enodes) 3.090 * * [simplify]: iters left: 2 (92 enodes) 3.106 * * [simplify]: iters left: 1 (142 enodes) 3.138 * * [simplify]: Extracting #0: cost 1 inf + 0 3.138 * * [simplify]: Extracting #1: cost 15 inf + 0 3.139 * * [simplify]: Extracting #2: cost 31 inf + 1 3.139 * * [simplify]: Extracting #3: cost 30 inf + 84 3.140 * * [simplify]: Extracting #4: cost 8 inf + 2867 3.141 * * [simplify]: Extracting #5: cost 0 inf + 3988 3.142 * * [simplify]: Extracting #6: cost 0 inf + 3958 3.143 * [simplify]: Simplified to (* (+ re (hypot re im)) (+ re (hypot re im))) 3.143 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (sqrt (* (+ re (hypot re im)) (+ re (hypot re im)))) 2.0)))) 3.144 * * * * [progress]: [ 57 / 136 ] simplifiying candidate # 3.144 * * * * [progress]: [ 58 / 136 ] simplifiying candidate # 3.144 * [simplify]: Simplifying (hypot re im) 3.144 * * [simplify]: iters left: 1 (3 enodes) 3.144 * * [simplify]: Extracting #0: cost 1 inf + 0 3.144 * * [simplify]: Extracting #1: cost 4 inf + 0 3.144 * * [simplify]: Extracting #2: cost 2 inf + 2 3.145 * * [simplify]: Extracting #3: cost 0 inf + 116 3.145 * [simplify]: Simplified to (hypot re im) 3.145 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))) 3.145 * * * * [progress]: [ 59 / 136 ] simplifiying candidate # 3.145 * [simplify]: Simplifying (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) 3.145 * * [simplify]: iters left: 6 (9 enodes) 3.148 * * [simplify]: iters left: 5 (39 enodes) 3.156 * * [simplify]: iters left: 4 (75 enodes) 3.175 * * [simplify]: iters left: 3 (124 enodes) 3.222 * * [simplify]: iters left: 2 (212 enodes) 3.297 * * [simplify]: iters left: 1 (405 enodes) 3.430 * * [simplify]: Extracting #0: cost 1 inf + 0 3.431 * * [simplify]: Extracting #1: cost 11 inf + 0 3.431 * * [simplify]: Extracting #2: cost 49 inf + 1 3.431 * * [simplify]: Extracting #3: cost 120 inf + 168 3.432 * * [simplify]: Extracting #4: cost 99 inf + 7010 3.435 * * [simplify]: Extracting #5: cost 39 inf + 39560 3.440 * * [simplify]: Extracting #6: cost 3 inf + 58864 3.445 * * [simplify]: Extracting #7: cost 0 inf + 59676 3.450 * [simplify]: Simplified to (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)) 3.450 * [simplify]: Simplified (2 2 1 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 (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))) 2.0)))) 3.450 * [simplify]: Simplifying (* (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) 3.450 * * [simplify]: iters left: 6 (10 enodes) 3.452 * * [simplify]: iters left: 5 (38 enodes) 3.459 * * [simplify]: iters left: 4 (62 enodes) 3.478 * * [simplify]: iters left: 3 (96 enodes) 3.505 * * [simplify]: iters left: 2 (124 enodes) 3.539 * * [simplify]: iters left: 1 (150 enodes) 3.564 * * [simplify]: Extracting #0: cost 1 inf + 0 3.564 * * [simplify]: Extracting #1: cost 21 inf + 0 3.564 * * [simplify]: Extracting #2: cost 38 inf + 1 3.565 * * [simplify]: Extracting #3: cost 33 inf + 166 3.566 * * [simplify]: Extracting #4: cost 4 inf + 4273 3.569 * * [simplify]: Extracting #5: cost 0 inf + 4521 3.572 * [simplify]: Simplified to (fma re re (* (hypot re im) (- (hypot re im) re))) 3.572 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)) (fma re re (* (hypot re im) (- (hypot re im) re)))) 2.0)))) 3.572 * * * * [progress]: [ 60 / 136 ] simplifiying candidate # 3.573 * [simplify]: Simplifying (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 3.573 * * [simplify]: iters left: 6 (13 enodes) 3.580 * * [simplify]: iters left: 5 (58 enodes) 3.594 * * [simplify]: iters left: 4 (102 enodes) 3.617 * * [simplify]: iters left: 3 (170 enodes) 3.663 * * [simplify]: iters left: 2 (296 enodes) 3.752 * * [simplify]: Extracting #0: cost 1 inf + 0 3.752 * * [simplify]: Extracting #1: cost 4 inf + 0 3.752 * * [simplify]: Extracting #2: cost 10 inf + 0 3.752 * * [simplify]: Extracting #3: cost 58 inf + 0 3.752 * * [simplify]: Extracting #4: cost 103 inf + 43 3.753 * * [simplify]: Extracting #5: cost 88 inf + 2819 3.758 * * [simplify]: Extracting #6: cost 26 inf + 18202 3.765 * * [simplify]: Extracting #7: cost 2 inf + 29844 3.772 * * [simplify]: Extracting #8: cost 0 inf + 31053 3.778 * [simplify]: Simplified to (* (sqrt (* (+ re (hypot re im)) (- (hypot re im) re))) (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re)))) 3.778 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (* (+ re (hypot re im)) (- (hypot re im) re))) (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 (- (hypot re im) re)))) 2.0)))) 3.778 * [simplify]: Simplifying (* (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (hypot re im) re))) 3.778 * * [simplify]: iters left: 6 (12 enodes) 3.781 * * [simplify]: iters left: 5 (49 enodes) 3.788 * * [simplify]: iters left: 4 (74 enodes) 3.804 * * [simplify]: iters left: 3 (105 enodes) 3.831 * * [simplify]: iters left: 2 (129 enodes) 3.871 * * [simplify]: iters left: 1 (153 enodes) 3.919 * * [simplify]: Extracting #0: cost 1 inf + 0 3.919 * * [simplify]: Extracting #1: cost 4 inf + 0 3.919 * * [simplify]: Extracting #2: cost 8 inf + 0 3.919 * * [simplify]: Extracting #3: cost 27 inf + 0 3.920 * * [simplify]: Extracting #4: cost 40 inf + 83 3.920 * * [simplify]: Extracting #5: cost 36 inf + 247 3.924 * * [simplify]: Extracting #6: cost 11 inf + 3892 3.927 * * [simplify]: Extracting #7: cost 1 inf + 5582 3.929 * * [simplify]: Extracting #8: cost 0 inf + 5419 3.932 * [simplify]: Simplified to (* (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re))) (sqrt (- (hypot re im) re))) 3.932 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (* (+ re (hypot re im)) (- (hypot re im) re))) (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re)))) (* (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re))) (sqrt (- (hypot re im) re)))) 2.0)))) 3.933 * * * * [progress]: [ 61 / 136 ] simplifiying candidate # 3.933 * [simplify]: Simplifying (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) 3.933 * * [simplify]: iters left: 6 (13 enodes) 3.941 * * [simplify]: iters left: 5 (58 enodes) 3.964 * * [simplify]: iters left: 4 (102 enodes) 4.000 * * [simplify]: iters left: 3 (170 enodes) 4.050 * * [simplify]: iters left: 2 (296 enodes) 4.129 * * [simplify]: Extracting #0: cost 1 inf + 0 4.129 * * [simplify]: Extracting #1: cost 4 inf + 0 4.129 * * [simplify]: Extracting #2: cost 10 inf + 0 4.129 * * [simplify]: Extracting #3: cost 58 inf + 0 4.129 * * [simplify]: Extracting #4: cost 104 inf + 2 4.130 * * [simplify]: Extracting #5: cost 89 inf + 2347 4.136 * * [simplify]: Extracting #6: cost 22 inf + 19025 4.140 * * [simplify]: Extracting #7: cost 1 inf + 30219 4.143 * * [simplify]: Extracting #8: cost 0 inf + 30893 4.149 * [simplify]: Simplified to (* (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 4.149 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))) 2.0)))) 4.150 * [simplify]: Simplifying (* (sqrt (- (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) 4.150 * * [simplify]: iters left: 6 (12 enodes) 4.155 * * [simplify]: iters left: 5 (49 enodes) 4.166 * * [simplify]: iters left: 4 (74 enodes) 4.177 * * [simplify]: iters left: 3 (105 enodes) 4.193 * * [simplify]: iters left: 2 (129 enodes) 4.235 * * [simplify]: iters left: 1 (153 enodes) 4.283 * * [simplify]: Extracting #0: cost 1 inf + 0 4.283 * * [simplify]: Extracting #1: cost 4 inf + 0 4.283 * * [simplify]: Extracting #2: cost 8 inf + 0 4.283 * * [simplify]: Extracting #3: cost 27 inf + 0 4.284 * * [simplify]: Extracting #4: cost 42 inf + 1 4.284 * * [simplify]: Extracting #5: cost 36 inf + 247 4.285 * * [simplify]: Extracting #6: cost 12 inf + 3250 4.288 * * [simplify]: Extracting #7: cost 1 inf + 5242 4.291 * * [simplify]: Extracting #8: cost 0 inf + 5419 4.294 * [simplify]: Simplified to (* (sqrt (- (hypot re im) re)) (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re)))) 4.294 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (- (hypot re im) re)) (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re))))) 2.0)))) 4.294 * * * * [progress]: [ 62 / 136 ] simplifiying candidate # 4.294 * [simplify]: Simplifying (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 4.295 * * [simplify]: iters left: 6 (8 enodes) 4.298 * * [simplify]: iters left: 5 (28 enodes) 4.307 * * [simplify]: iters left: 4 (41 enodes) 4.316 * * [simplify]: iters left: 3 (53 enodes) 4.324 * * [simplify]: iters left: 2 (89 enodes) 4.343 * * [simplify]: iters left: 1 (172 enodes) 4.377 * * [simplify]: Extracting #0: cost 1 inf + 0 4.377 * * [simplify]: Extracting #1: cost 24 inf + 0 4.377 * * [simplify]: Extracting #2: cost 50 inf + 164 4.378 * * [simplify]: Extracting #3: cost 46 inf + 328 4.379 * * [simplify]: Extracting #4: cost 12 inf + 5431 4.381 * * [simplify]: Extracting #5: cost 0 inf + 7435 4.384 * * [simplify]: Extracting #6: cost 0 inf + 7420 4.388 * [simplify]: Simplified to (- (* (hypot re im) (hypot re im)) (* re re)) 4.388 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ (- (* (hypot re im) (hypot re im)) (* re re)) (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re)))) 2.0)))) 4.388 * [simplify]: Simplifying (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))) 4.388 * * [simplify]: iters left: 6 (6 enodes) 4.391 * * [simplify]: iters left: 5 (18 enodes) 4.395 * * [simplify]: iters left: 4 (22 enodes) 4.401 * * [simplify]: Extracting #0: cost 1 inf + 0 4.401 * * [simplify]: Extracting #1: cost 6 inf + 0 4.401 * * [simplify]: Extracting #2: cost 9 inf + 1 4.401 * * [simplify]: Extracting #3: cost 3 inf + 351 4.401 * * [simplify]: Extracting #4: cost 0 inf + 666 4.402 * [simplify]: Simplified to (- (hypot re im) re) 4.402 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re)) 2.0)))) 4.402 * * * * [progress]: [ 63 / 136 ] simplifiying candidate # 4.402 * * * * [progress]: [ 64 / 136 ] simplifiying candidate # 4.402 * [simplify]: Simplifying (* (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) 4.402 * * [simplify]: iters left: 6 (8 enodes) 4.406 * * [simplify]: iters left: 5 (29 enodes) 4.415 * * [simplify]: iters left: 4 (33 enodes) 4.426 * * [simplify]: iters left: 3 (44 enodes) 4.443 * * [simplify]: iters left: 2 (68 enodes) 4.456 * * [simplify]: iters left: 1 (116 enodes) 4.485 * * [simplify]: Extracting #0: cost 1 inf + 0 4.485 * * [simplify]: Extracting #1: cost 14 inf + 0 4.485 * * [simplify]: Extracting #2: cost 41 inf + 1 4.485 * * [simplify]: Extracting #3: cost 42 inf + 7 4.485 * * [simplify]: Extracting #4: cost 42 inf + 10 4.485 * * [simplify]: Extracting #5: cost 40 inf + 12 4.485 * * [simplify]: Extracting #6: cost 36 inf + 320 4.486 * * [simplify]: Extracting #7: cost 19 inf + 6912 4.488 * * [simplify]: Extracting #8: cost 2 inf + 16407 4.490 * * [simplify]: Extracting #9: cost 0 inf + 17765 4.492 * [simplify]: Simplified to (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) 4.492 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im)))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.492 * [simplify]: Simplifying (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) 4.492 * * [simplify]: iters left: 6 (7 enodes) 4.493 * * [simplify]: iters left: 5 (22 enodes) 4.496 * * [simplify]: Extracting #0: cost 1 inf + 0 4.496 * * [simplify]: Extracting #1: cost 3 inf + 0 4.496 * * [simplify]: Extracting #2: cost 5 inf + 0 4.496 * * [simplify]: Extracting #3: cost 7 inf + 0 4.496 * * [simplify]: Extracting #4: cost 10 inf + 0 4.496 * * [simplify]: Extracting #5: cost 11 inf + 1 4.496 * * [simplify]: Extracting #6: cost 10 inf + 2 4.497 * * [simplify]: Extracting #7: cost 1 inf + 1275 4.497 * * [simplify]: Extracting #8: cost 0 inf + 1532 4.497 * [simplify]: Simplified to (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) 4.497 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im)))))) 2.0)))) 4.497 * * * * [progress]: [ 65 / 136 ] simplifiying candidate # 4.497 * [simplify]: Simplifying (* (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) 4.497 * * [simplify]: iters left: 6 (8 enodes) 4.499 * * [simplify]: iters left: 5 (24 enodes) 4.502 * * [simplify]: iters left: 4 (25 enodes) 4.505 * * [simplify]: Extracting #0: cost 1 inf + 0 4.505 * * [simplify]: Extracting #1: cost 4 inf + 0 4.505 * * [simplify]: Extracting #2: cost 7 inf + 0 4.505 * * [simplify]: Extracting #3: cost 10 inf + 0 4.505 * * [simplify]: Extracting #4: cost 11 inf + 1 4.505 * * [simplify]: Extracting #5: cost 10 inf + 2 4.506 * * [simplify]: Extracting #6: cost 2 inf + 1098 4.506 * * [simplify]: Extracting #7: cost 0 inf + 1532 4.506 * [simplify]: Simplified to (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) 4.506 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (cbrt (+ (hypot re im) re))))) 2.0)))) 4.506 * [simplify]: Simplifying (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (cbrt (+ (hypot re im) re)))) 4.506 * * [simplify]: iters left: 6 (7 enodes) 4.508 * * [simplify]: iters left: 5 (20 enodes) 4.510 * * [simplify]: iters left: 4 (21 enodes) 4.513 * * [simplify]: Extracting #0: cost 1 inf + 0 4.513 * * [simplify]: Extracting #1: cost 4 inf + 0 4.513 * * [simplify]: Extracting #2: cost 8 inf + 0 4.513 * * [simplify]: Extracting #3: cost 9 inf + 1 4.513 * * [simplify]: Extracting #4: cost 2 inf + 664 4.513 * * [simplify]: Extracting #5: cost 0 inf + 1098 4.513 * [simplify]: Simplified to (cbrt (+ re (hypot re im))) 4.513 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (cbrt (+ re (hypot re im)))) 2.0)))) 4.514 * * * * [progress]: [ 66 / 136 ] simplifiying candidate # 4.514 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.514 * * [simplify]: iters left: 6 (7 enodes) 4.515 * * [simplify]: iters left: 5 (20 enodes) 4.518 * * [simplify]: iters left: 4 (21 enodes) 4.522 * * [simplify]: Extracting #0: cost 1 inf + 0 4.522 * * [simplify]: Extracting #1: cost 4 inf + 0 4.522 * * [simplify]: Extracting #2: cost 8 inf + 0 4.522 * * [simplify]: Extracting #3: cost 9 inf + 1 4.522 * * [simplify]: Extracting #4: cost 2 inf + 584 4.523 * * [simplify]: Extracting #5: cost 0 inf + 938 4.523 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.523 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.523 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.523 * * [simplify]: iters left: 6 (7 enodes) 4.525 * * [simplify]: iters left: 5 (20 enodes) 4.529 * * [simplify]: iters left: 4 (21 enodes) 4.532 * * [simplify]: Extracting #0: cost 1 inf + 0 4.532 * * [simplify]: Extracting #1: cost 4 inf + 0 4.532 * * [simplify]: Extracting #2: cost 8 inf + 0 4.532 * * [simplify]: Extracting #3: cost 9 inf + 1 4.532 * * [simplify]: Extracting #4: cost 2 inf + 584 4.532 * * [simplify]: Extracting #5: cost 0 inf + 938 4.532 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.532 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.532 * * * * [progress]: [ 67 / 136 ] simplifiying candidate # 4.533 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.533 * * [simplify]: iters left: 6 (7 enodes) 4.534 * * [simplify]: iters left: 5 (20 enodes) 4.536 * * [simplify]: iters left: 4 (21 enodes) 4.539 * * [simplify]: Extracting #0: cost 1 inf + 0 4.539 * * [simplify]: Extracting #1: cost 4 inf + 0 4.539 * * [simplify]: Extracting #2: cost 8 inf + 0 4.539 * * [simplify]: Extracting #3: cost 9 inf + 1 4.539 * * [simplify]: Extracting #4: cost 2 inf + 584 4.539 * * [simplify]: Extracting #5: cost 0 inf + 938 4.539 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.539 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.540 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.540 * * [simplify]: iters left: 6 (7 enodes) 4.541 * * [simplify]: iters left: 5 (20 enodes) 4.543 * * [simplify]: iters left: 4 (21 enodes) 4.546 * * [simplify]: Extracting #0: cost 1 inf + 0 4.546 * * [simplify]: Extracting #1: cost 4 inf + 0 4.546 * * [simplify]: Extracting #2: cost 8 inf + 0 4.546 * * [simplify]: Extracting #3: cost 9 inf + 1 4.546 * * [simplify]: Extracting #4: cost 2 inf + 584 4.546 * * [simplify]: Extracting #5: cost 0 inf + 938 4.546 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.546 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.547 * * * * [progress]: [ 68 / 136 ] simplifiying candidate # 4.547 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 4.547 * * [simplify]: iters left: 3 (3 enodes) 4.549 * * [simplify]: iters left: 2 (9 enodes) 4.550 * * [simplify]: iters left: 1 (11 enodes) 4.552 * * [simplify]: Extracting #0: cost 1 inf + 0 4.552 * * [simplify]: Extracting #1: cost 0 inf + 1 4.552 * [simplify]: Simplified to 1 4.552 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.552 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 4.552 * * [simplify]: iters left: 6 (6 enodes) 4.553 * * [simplify]: iters left: 5 (17 enodes) 4.556 * * [simplify]: iters left: 4 (18 enodes) 4.559 * * [simplify]: Extracting #0: cost 1 inf + 0 4.559 * * [simplify]: Extracting #1: cost 5 inf + 0 4.559 * * [simplify]: Extracting #2: cost 7 inf + 1 4.559 * * [simplify]: Extracting #3: cost 2 inf + 310 4.559 * * [simplify]: Extracting #4: cost 0 inf + 584 4.559 * [simplify]: Simplified to (+ re (hypot re im)) 4.559 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 4.560 * * * * [progress]: [ 69 / 136 ] simplifiying candidate # 4.560 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 4.560 * * [simplify]: iters left: 3 (3 enodes) 4.563 * * [simplify]: iters left: 2 (9 enodes) 4.566 * * [simplify]: iters left: 1 (11 enodes) 4.568 * * [simplify]: Extracting #0: cost 1 inf + 0 4.568 * * [simplify]: Extracting #1: cost 0 inf + 1 4.568 * [simplify]: Simplified to 1 4.569 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.569 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 4.569 * * [simplify]: iters left: 6 (6 enodes) 4.571 * * [simplify]: iters left: 5 (17 enodes) 4.576 * * [simplify]: iters left: 4 (18 enodes) 4.581 * * [simplify]: Extracting #0: cost 1 inf + 0 4.581 * * [simplify]: Extracting #1: cost 5 inf + 0 4.581 * * [simplify]: Extracting #2: cost 7 inf + 1 4.581 * * [simplify]: Extracting #3: cost 2 inf + 310 4.581 * * [simplify]: Extracting #4: cost 0 inf + 584 4.581 * [simplify]: Simplified to (+ re (hypot re im)) 4.582 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 4.582 * * * * [progress]: [ 70 / 136 ] simplifiying candidate # 4.582 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 4.582 * * [simplify]: iters left: 3 (3 enodes) 4.585 * * [simplify]: iters left: 2 (9 enodes) 4.588 * * [simplify]: iters left: 1 (11 enodes) 4.591 * * [simplify]: Extracting #0: cost 1 inf + 0 4.591 * * [simplify]: Extracting #1: cost 0 inf + 1 4.591 * [simplify]: Simplified to 1 4.591 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.591 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 4.591 * * [simplify]: iters left: 6 (6 enodes) 4.593 * * [simplify]: iters left: 5 (17 enodes) 4.595 * * [simplify]: iters left: 4 (18 enodes) 4.598 * * [simplify]: Extracting #0: cost 1 inf + 0 4.598 * * [simplify]: Extracting #1: cost 5 inf + 0 4.598 * * [simplify]: Extracting #2: cost 7 inf + 1 4.598 * * [simplify]: Extracting #3: cost 2 inf + 310 4.598 * * [simplify]: Extracting #4: cost 0 inf + 584 4.598 * [simplify]: Simplified to (+ re (hypot re im)) 4.598 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 4.598 * * * * [progress]: [ 71 / 136 ] simplifiying candidate # 4.598 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 4.598 * * [simplify]: iters left: 3 (3 enodes) 4.600 * * [simplify]: iters left: 2 (9 enodes) 4.602 * * [simplify]: iters left: 1 (11 enodes) 4.603 * * [simplify]: Extracting #0: cost 1 inf + 0 4.603 * * [simplify]: Extracting #1: cost 0 inf + 1 4.603 * [simplify]: Simplified to 1 4.603 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.604 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 4.604 * * [simplify]: iters left: 6 (6 enodes) 4.605 * * [simplify]: iters left: 5 (17 enodes) 4.607 * * [simplify]: iters left: 4 (18 enodes) 4.609 * * [simplify]: Extracting #0: cost 1 inf + 0 4.609 * * [simplify]: Extracting #1: cost 5 inf + 0 4.609 * * [simplify]: Extracting #2: cost 7 inf + 1 4.609 * * [simplify]: Extracting #3: cost 2 inf + 310 4.609 * * [simplify]: Extracting #4: cost 0 inf + 584 4.609 * [simplify]: Simplified to (+ re (hypot re im)) 4.609 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 4.610 * * * * [progress]: [ 72 / 136 ] simplifiying candidate # 4.610 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.610 * * [simplify]: iters left: 6 (7 enodes) 4.611 * * [simplify]: iters left: 5 (20 enodes) 4.614 * * [simplify]: iters left: 4 (21 enodes) 4.620 * * [simplify]: Extracting #0: cost 1 inf + 0 4.620 * * [simplify]: Extracting #1: cost 4 inf + 0 4.620 * * [simplify]: Extracting #2: cost 8 inf + 0 4.620 * * [simplify]: Extracting #3: cost 9 inf + 1 4.620 * * [simplify]: Extracting #4: cost 2 inf + 584 4.620 * * [simplify]: Extracting #5: cost 0 inf + 938 4.620 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.621 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.621 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.621 * * [simplify]: iters left: 6 (7 enodes) 4.624 * * [simplify]: iters left: 5 (20 enodes) 4.631 * * [simplify]: iters left: 4 (21 enodes) 4.637 * * [simplify]: Extracting #0: cost 1 inf + 0 4.637 * * [simplify]: Extracting #1: cost 4 inf + 0 4.637 * * [simplify]: Extracting #2: cost 8 inf + 0 4.637 * * [simplify]: Extracting #3: cost 9 inf + 1 4.637 * * [simplify]: Extracting #4: cost 2 inf + 584 4.637 * * [simplify]: Extracting #5: cost 0 inf + 938 4.638 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.638 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.638 * * * * [progress]: [ 73 / 136 ] simplifiying candidate # 4.638 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.638 * * [simplify]: iters left: 6 (7 enodes) 4.641 * * [simplify]: iters left: 5 (20 enodes) 4.646 * * [simplify]: iters left: 4 (21 enodes) 4.652 * * [simplify]: Extracting #0: cost 1 inf + 0 4.652 * * [simplify]: Extracting #1: cost 4 inf + 0 4.652 * * [simplify]: Extracting #2: cost 8 inf + 0 4.652 * * [simplify]: Extracting #3: cost 9 inf + 1 4.652 * * [simplify]: Extracting #4: cost 2 inf + 584 4.652 * * [simplify]: Extracting #5: cost 0 inf + 938 4.653 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.653 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.653 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.653 * * [simplify]: iters left: 6 (7 enodes) 4.656 * * [simplify]: iters left: 5 (20 enodes) 4.661 * * [simplify]: iters left: 4 (21 enodes) 4.666 * * [simplify]: Extracting #0: cost 1 inf + 0 4.666 * * [simplify]: Extracting #1: cost 4 inf + 0 4.666 * * [simplify]: Extracting #2: cost 8 inf + 0 4.666 * * [simplify]: Extracting #3: cost 9 inf + 1 4.667 * * [simplify]: Extracting #4: cost 2 inf + 584 4.667 * * [simplify]: Extracting #5: cost 0 inf + 938 4.667 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.667 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.667 * * * * [progress]: [ 74 / 136 ] simplifiying candidate # 4.668 * [simplify]: Simplifying (* 1 1) 4.668 * * [simplify]: iters left: 2 (2 enodes) 4.670 * * [simplify]: iters left: 1 (6 enodes) 4.672 * * [simplify]: Extracting #0: cost 1 inf + 0 4.672 * * [simplify]: Extracting #1: cost 0 inf + 1 4.672 * [simplify]: Simplified to 1 4.672 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.672 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 4.672 * * [simplify]: iters left: 6 (6 enodes) 4.675 * * [simplify]: iters left: 5 (17 enodes) 4.679 * * [simplify]: iters left: 4 (18 enodes) 4.684 * * [simplify]: Extracting #0: cost 1 inf + 0 4.684 * * [simplify]: Extracting #1: cost 5 inf + 0 4.684 * * [simplify]: Extracting #2: cost 7 inf + 1 4.684 * * [simplify]: Extracting #3: cost 2 inf + 310 4.684 * * [simplify]: Extracting #4: cost 0 inf + 584 4.684 * [simplify]: Simplified to (+ re (hypot re im)) 4.685 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 4.685 * * * * [progress]: [ 75 / 136 ] simplifiying candidate # 4.685 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.685 * * [simplify]: iters left: 6 (7 enodes) 4.688 * * [simplify]: iters left: 5 (20 enodes) 4.693 * * [simplify]: iters left: 4 (21 enodes) 4.699 * * [simplify]: Extracting #0: cost 1 inf + 0 4.699 * * [simplify]: Extracting #1: cost 4 inf + 0 4.699 * * [simplify]: Extracting #2: cost 8 inf + 0 4.699 * * [simplify]: Extracting #3: cost 9 inf + 1 4.699 * * [simplify]: Extracting #4: cost 2 inf + 584 4.699 * * [simplify]: Extracting #5: cost 0 inf + 938 4.700 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.700 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.700 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.700 * * [simplify]: iters left: 6 (7 enodes) 4.703 * * [simplify]: iters left: 5 (20 enodes) 4.708 * * [simplify]: iters left: 4 (21 enodes) 4.713 * * [simplify]: Extracting #0: cost 1 inf + 0 4.713 * * [simplify]: Extracting #1: cost 4 inf + 0 4.714 * * [simplify]: Extracting #2: cost 8 inf + 0 4.714 * * [simplify]: Extracting #3: cost 9 inf + 1 4.714 * * [simplify]: Extracting #4: cost 2 inf + 584 4.714 * * [simplify]: Extracting #5: cost 0 inf + 938 4.714 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.714 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.715 * * * * [progress]: [ 76 / 136 ] simplifiying candidate # 4.715 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.715 * * [simplify]: iters left: 6 (7 enodes) 4.718 * * [simplify]: iters left: 5 (20 enodes) 4.723 * * [simplify]: iters left: 4 (21 enodes) 4.728 * * [simplify]: Extracting #0: cost 1 inf + 0 4.728 * * [simplify]: Extracting #1: cost 4 inf + 0 4.728 * * [simplify]: Extracting #2: cost 8 inf + 0 4.728 * * [simplify]: Extracting #3: cost 9 inf + 1 4.728 * * [simplify]: Extracting #4: cost 2 inf + 584 4.729 * * [simplify]: Extracting #5: cost 0 inf + 938 4.729 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.729 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.729 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.730 * * [simplify]: iters left: 6 (7 enodes) 4.732 * * [simplify]: iters left: 5 (20 enodes) 4.737 * * [simplify]: iters left: 4 (21 enodes) 4.743 * * [simplify]: Extracting #0: cost 1 inf + 0 4.743 * * [simplify]: Extracting #1: cost 4 inf + 0 4.743 * * [simplify]: Extracting #2: cost 8 inf + 0 4.743 * * [simplify]: Extracting #3: cost 9 inf + 1 4.743 * * [simplify]: Extracting #4: cost 2 inf + 584 4.743 * * [simplify]: Extracting #5: cost 0 inf + 938 4.744 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.744 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.744 * * * * [progress]: [ 77 / 136 ] simplifiying candidate # 4.744 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.744 * * [simplify]: iters left: 6 (7 enodes) 4.747 * * [simplify]: iters left: 5 (20 enodes) 4.752 * * [simplify]: iters left: 4 (21 enodes) 4.755 * * [simplify]: Extracting #0: cost 1 inf + 0 4.755 * * [simplify]: Extracting #1: cost 4 inf + 0 4.755 * * [simplify]: Extracting #2: cost 8 inf + 0 4.755 * * [simplify]: Extracting #3: cost 9 inf + 1 4.755 * * [simplify]: Extracting #4: cost 2 inf + 584 4.756 * * [simplify]: Extracting #5: cost 0 inf + 938 4.756 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.756 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.756 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.756 * * [simplify]: iters left: 6 (7 enodes) 4.758 * * [simplify]: iters left: 5 (20 enodes) 4.760 * * [simplify]: iters left: 4 (21 enodes) 4.762 * * [simplify]: Extracting #0: cost 1 inf + 0 4.762 * * [simplify]: Extracting #1: cost 4 inf + 0 4.762 * * [simplify]: Extracting #2: cost 8 inf + 0 4.763 * * [simplify]: Extracting #3: cost 9 inf + 1 4.763 * * [simplify]: Extracting #4: cost 2 inf + 584 4.763 * * [simplify]: Extracting #5: cost 0 inf + 938 4.763 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.763 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.763 * * * * [progress]: [ 78 / 136 ] simplifiying candidate # 4.763 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.763 * * [simplify]: iters left: 6 (7 enodes) 4.765 * * [simplify]: iters left: 5 (20 enodes) 4.769 * * [simplify]: iters left: 4 (21 enodes) 4.771 * * [simplify]: Extracting #0: cost 1 inf + 0 4.771 * * [simplify]: Extracting #1: cost 4 inf + 0 4.771 * * [simplify]: Extracting #2: cost 8 inf + 0 4.771 * * [simplify]: Extracting #3: cost 9 inf + 1 4.771 * * [simplify]: Extracting #4: cost 2 inf + 584 4.771 * * [simplify]: Extracting #5: cost 0 inf + 938 4.772 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.772 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re))))) 2.0)))) 4.772 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 4.772 * * [simplify]: iters left: 6 (7 enodes) 4.773 * * [simplify]: iters left: 5 (20 enodes) 4.776 * * [simplify]: iters left: 4 (21 enodes) 4.781 * * [simplify]: Extracting #0: cost 1 inf + 0 4.782 * * [simplify]: Extracting #1: cost 4 inf + 0 4.782 * * [simplify]: Extracting #2: cost 8 inf + 0 4.782 * * [simplify]: Extracting #3: cost 9 inf + 1 4.782 * * [simplify]: Extracting #4: cost 2 inf + 584 4.782 * * [simplify]: Extracting #5: cost 0 inf + 938 4.783 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.783 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (+ re (hypot re im)))) 2.0)))) 4.783 * * * * [progress]: [ 79 / 136 ] simplifiying candidate # 4.783 * [simplify]: Simplifying (+ (hypot re im) re) 4.783 * * [simplify]: iters left: 3 (4 enodes) 4.785 * * [simplify]: iters left: 2 (13 enodes) 4.788 * * [simplify]: Extracting #0: cost 1 inf + 0 4.788 * * [simplify]: Extracting #1: cost 4 inf + 0 4.788 * * [simplify]: Extracting #2: cost 5 inf + 1 4.788 * * [simplify]: Extracting #3: cost 4 inf + 2 4.788 * * [simplify]: Extracting #4: cost 0 inf + 310 4.789 * [simplify]: Simplified to (+ re (hypot re im)) 4.789 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) (* 2 1/2)) 2.0)))) 4.789 * [simplify]: Simplifying (* 2 1/2) 4.789 * * [simplify]: iters left: 2 (3 enodes) 4.793 * * [simplify]: iters left: 1 (11 enodes) 4.796 * * [simplify]: Extracting #0: cost 1 inf + 0 4.796 * * [simplify]: Extracting #1: cost 0 inf + 1 4.796 * [simplify]: Simplified to 1 4.796 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (+ (hypot re im) re) 1) 2.0)))) 4.796 * * * * [progress]: [ 80 / 136 ] simplifiying candidate # 4.797 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 4.797 * * [simplify]: iters left: 4 (5 enodes) 4.799 * * [simplify]: iters left: 3 (16 enodes) 4.803 * * [simplify]: Extracting #0: cost 1 inf + 0 4.803 * * [simplify]: Extracting #1: cost 3 inf + 0 4.803 * * [simplify]: Extracting #2: cost 6 inf + 0 4.803 * * [simplify]: Extracting #3: cost 7 inf + 1 4.803 * * [simplify]: Extracting #4: cost 0 inf + 584 4.804 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.804 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (+ re (hypot re im))) (* 2 1)) 2.0)))) 4.804 * [simplify]: Simplifying (* 2 1) 4.804 * * [simplify]: iters left: 2 (3 enodes) 4.806 * * [simplify]: iters left: 1 (9 enodes) 4.809 * * [simplify]: Extracting #0: cost 1 inf + 0 4.810 * * [simplify]: Extracting #1: cost 0 inf + 1 4.810 * [simplify]: Simplified to 2 4.810 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (sqrt (+ (hypot re im) re)) 2) 2.0)))) 4.810 * * * * [progress]: [ 81 / 136 ] simplifiying candidate # 4.810 * [simplify]: Simplifying (+ (hypot re im) re) 4.810 * * [simplify]: iters left: 3 (4 enodes) 4.812 * * [simplify]: iters left: 2 (13 enodes) 4.815 * * [simplify]: Extracting #0: cost 1 inf + 0 4.815 * * [simplify]: Extracting #1: cost 4 inf + 0 4.815 * * [simplify]: Extracting #2: cost 5 inf + 1 4.815 * * [simplify]: Extracting #3: cost 4 inf + 2 4.815 * * [simplify]: Extracting #4: cost 0 inf + 310 4.816 * [simplify]: Simplified to (+ re (hypot re im)) 4.816 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (pow (+ re (hypot re im)) (* 2 (/ 1 2))) 2.0)))) 4.816 * [simplify]: Simplifying (* 2 (/ 1 2)) 4.816 * * [simplify]: iters left: 4 (4 enodes) 4.820 * * [simplify]: iters left: 3 (13 enodes) 4.822 * * [simplify]: iters left: 2 (15 enodes) 4.825 * * [simplify]: Extracting #0: cost 1 inf + 0 4.825 * * [simplify]: Extracting #1: cost 0 inf + 1 4.825 * [simplify]: Simplified to 1 4.825 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (pow (+ (hypot re im) re) 1) 2.0)))) 4.825 * * * * [progress]: [ 82 / 136 ] simplifiying candidate # 4.825 * [simplify]: Simplifying (cbrt (sqrt (+ (hypot re im) re))) 4.825 * * [simplify]: iters left: 5 (6 enodes) 4.827 * * [simplify]: iters left: 4 (19 enodes) 4.829 * * [simplify]: Extracting #0: cost 1 inf + 0 4.829 * * [simplify]: Extracting #1: cost 3 inf + 0 4.829 * * [simplify]: Extracting #2: cost 5 inf + 0 4.829 * * [simplify]: Extracting #3: cost 8 inf + 0 4.829 * * [simplify]: Extracting #4: cost 9 inf + 1 4.829 * * [simplify]: Extracting #5: cost 0 inf + 1018 4.829 * [simplify]: Simplified to (cbrt (sqrt (+ re (hypot re im)))) 4.829 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) (cbrt (sqrt (+ re (hypot re im))))) 2.0)))) 4.829 * * * * [progress]: [ 83 / 136 ] simplifiying candidate # 4.830 * [simplify]: Simplifying (sqrt (cbrt (+ (hypot re im) re))) 4.830 * * [simplify]: iters left: 5 (6 enodes) 4.831 * * [simplify]: iters left: 4 (19 enodes) 4.833 * * [simplify]: Extracting #0: cost 1 inf + 0 4.833 * * [simplify]: Extracting #1: cost 3 inf + 0 4.833 * * [simplify]: Extracting #2: cost 5 inf + 0 4.833 * * [simplify]: Extracting #3: cost 8 inf + 0 4.833 * * [simplify]: Extracting #4: cost 9 inf + 1 4.833 * * [simplify]: Extracting #5: cost 0 inf + 1098 4.833 * [simplify]: Simplified to (sqrt (cbrt (+ re (hypot re im)))) 4.834 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) (sqrt (cbrt (+ re (hypot re im))))) 2.0)))) 4.834 * * * * [progress]: [ 84 / 136 ] simplifiying candidate # 4.834 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 4.834 * * [simplify]: iters left: 5 (6 enodes) 4.835 * * [simplify]: iters left: 4 (19 enodes) 4.837 * * [simplify]: Extracting #0: cost 1 inf + 0 4.837 * * [simplify]: Extracting #1: cost 3 inf + 0 4.837 * * [simplify]: Extracting #2: cost 5 inf + 0 4.837 * * [simplify]: Extracting #3: cost 8 inf + 0 4.837 * * [simplify]: Extracting #4: cost 9 inf + 1 4.837 * * [simplify]: Extracting #5: cost 0 inf + 938 4.838 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 4.838 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ re (hypot re im))))) 2.0)))) 4.838 * * * * [progress]: [ 85 / 136 ] simplifiying candidate # 4.838 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 4.838 * * [simplify]: iters left: 4 (5 enodes) 4.839 * * [simplify]: iters left: 3 (16 enodes) 4.841 * * [simplify]: Extracting #0: cost 1 inf + 0 4.841 * * [simplify]: Extracting #1: cost 3 inf + 0 4.841 * * [simplify]: Extracting #2: cost 6 inf + 0 4.841 * * [simplify]: Extracting #3: cost 7 inf + 1 4.841 * * [simplify]: Extracting #4: cost 0 inf + 584 4.842 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.842 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) (sqrt 1)) (sqrt (+ re (hypot re im)))) 2.0)))) 4.842 * * * * [progress]: [ 86 / 136 ] simplifiying candidate # 4.842 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 4.842 * * [simplify]: iters left: 4 (5 enodes) 4.843 * * [simplify]: iters left: 3 (16 enodes) 4.845 * * [simplify]: Extracting #0: cost 1 inf + 0 4.845 * * [simplify]: Extracting #1: cost 3 inf + 0 4.845 * * [simplify]: Extracting #2: cost 6 inf + 0 4.845 * * [simplify]: Extracting #3: cost 7 inf + 1 4.845 * * [simplify]: Extracting #4: cost 0 inf + 584 4.845 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.845 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) (sqrt 1)) (sqrt (+ re (hypot re im)))) 2.0)))) 4.845 * * * * [progress]: [ 87 / 136 ] simplifiying candidate # 4.845 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 4.845 * * [simplify]: iters left: 5 (6 enodes) 4.846 * * [simplify]: iters left: 4 (19 enodes) 4.849 * * [simplify]: Extracting #0: cost 1 inf + 0 4.849 * * [simplify]: Extracting #1: cost 3 inf + 0 4.849 * * [simplify]: Extracting #2: cost 5 inf + 0 4.849 * * [simplify]: Extracting #3: cost 8 inf + 0 4.849 * * [simplify]: Extracting #4: cost 9 inf + 1 4.849 * * [simplify]: Extracting #5: cost 0 inf + 938 4.849 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 4.849 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ re (hypot re im))))) 2.0)))) 4.849 * * * * [progress]: [ 88 / 136 ] simplifiying candidate # 4.850 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 4.850 * * [simplify]: iters left: 4 (5 enodes) 4.850 * * [simplify]: iters left: 3 (16 enodes) 4.852 * * [simplify]: Extracting #0: cost 1 inf + 0 4.852 * * [simplify]: Extracting #1: cost 3 inf + 0 4.852 * * [simplify]: Extracting #2: cost 6 inf + 0 4.852 * * [simplify]: Extracting #3: cost 7 inf + 1 4.853 * * [simplify]: Extracting #4: cost 0 inf + 584 4.853 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 4.853 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* (* (sqrt (+ (hypot re im) re)) 1) (sqrt (+ re (hypot re im)))) 2.0)))) 4.853 * * * * [progress]: [ 89 / 136 ] simplifiying candidate # 4.854 * [simplify]: Simplifying (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) 4.854 * * [simplify]: iters left: 6 (7 enodes) 4.856 * * [simplify]: iters left: 5 (22 enodes) 4.862 * * [simplify]: Extracting #0: cost 1 inf + 0 4.862 * * [simplify]: Extracting #1: cost 3 inf + 0 4.862 * * [simplify]: Extracting #2: cost 5 inf + 0 4.862 * * [simplify]: Extracting #3: cost 7 inf + 0 4.862 * * [simplify]: Extracting #4: cost 10 inf + 0 4.862 * * [simplify]: Extracting #5: cost 11 inf + 1 4.862 * * [simplify]: Extracting #6: cost 10 inf + 2 4.863 * * [simplify]: Extracting #7: cost 1 inf + 1275 4.863 * * [simplify]: Extracting #8: cost 0 inf + 1532 4.863 * [simplify]: Simplified to (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) 4.863 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.864 * * * * [progress]: [ 90 / 136 ] simplifiying candidate # 4.864 * [simplify]: Simplifying (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) 4.864 * * [simplify]: iters left: 6 (7 enodes) 4.867 * * [simplify]: iters left: 5 (23 enodes) 4.873 * * [simplify]: Extracting #0: cost 1 inf + 0 4.873 * * [simplify]: Extracting #1: cost 4 inf + 0 4.873 * * [simplify]: Extracting #2: cost 7 inf + 0 4.873 * * [simplify]: Extracting #3: cost 10 inf + 0 4.873 * * [simplify]: Extracting #4: cost 11 inf + 1 4.873 * * [simplify]: Extracting #5: cost 8 inf + 116 4.874 * * [simplify]: Extracting #6: cost 1 inf + 1315 4.874 * * [simplify]: Extracting #7: cost 0 inf + 1532 4.874 * [simplify]: Simplified to (fabs (cbrt (+ re (hypot re im)))) 4.874 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (fabs (cbrt (+ re (hypot re im)))) (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.875 * * * * [progress]: [ 91 / 136 ] simplifiying candidate # 4.875 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 4.875 * * [simplify]: iters left: 5 (6 enodes) 4.880 * * [simplify]: iters left: 4 (19 enodes) 4.885 * * [simplify]: Extracting #0: cost 1 inf + 0 4.885 * * [simplify]: Extracting #1: cost 3 inf + 0 4.885 * * [simplify]: Extracting #2: cost 5 inf + 0 4.885 * * [simplify]: Extracting #3: cost 8 inf + 0 4.885 * * [simplify]: Extracting #4: cost 9 inf + 1 4.885 * * [simplify]: Extracting #5: cost 0 inf + 938 4.885 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 4.886 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.886 * * * * [progress]: [ 92 / 136 ] simplifiying candidate # 4.886 * [simplify]: Simplifying (sqrt 1) 4.886 * * [simplify]: iters left: 1 (2 enodes) 4.889 * * [simplify]: Extracting #0: cost 1 inf + 0 4.889 * * [simplify]: Extracting #1: cost 0 inf + 1 4.889 * [simplify]: Simplified to 1 4.889 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.890 * * * * [progress]: [ 93 / 136 ] simplifiying candidate # 4.890 * [simplify]: Simplifying (sqrt 1) 4.890 * * [simplify]: iters left: 1 (2 enodes) 4.893 * * [simplify]: Extracting #0: cost 1 inf + 0 4.893 * * [simplify]: Extracting #1: cost 0 inf + 1 4.893 * [simplify]: Simplified to 1 4.893 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.893 * * * * [progress]: [ 94 / 136 ] simplifiying candidate # 4.893 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 4.894 * * [simplify]: iters left: 5 (6 enodes) 4.896 * * [simplify]: iters left: 4 (19 enodes) 4.901 * * [simplify]: Extracting #0: cost 1 inf + 0 4.901 * * [simplify]: Extracting #1: cost 3 inf + 0 4.901 * * [simplify]: Extracting #2: cost 5 inf + 0 4.901 * * [simplify]: Extracting #3: cost 8 inf + 0 4.901 * * [simplify]: Extracting #4: cost 9 inf + 1 4.901 * * [simplify]: Extracting #5: cost 0 inf + 938 4.902 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 4.902 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re)))) 2.0)))) 4.902 * * * * [progress]: [ 95 / 136 ] simplifiying candidate # 4.902 * * * * [progress]: [ 96 / 136 ] simplifiying candidate # 4.902 * [simplify]: Simplifying (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) 4.902 * * [simplify]: iters left: 6 (9 enodes) 4.907 * * [simplify]: iters left: 5 (37 enodes) 4.918 * * [simplify]: iters left: 4 (60 enodes) 4.937 * * [simplify]: iters left: 3 (94 enodes) 4.960 * * [simplify]: iters left: 2 (122 enodes) 4.979 * * [simplify]: iters left: 1 (148 enodes) 5.022 * * [simplify]: Extracting #0: cost 1 inf + 0 5.023 * * [simplify]: Extracting #1: cost 3 inf + 0 5.023 * * [simplify]: Extracting #2: cost 22 inf + 0 5.023 * * [simplify]: Extracting #3: cost 38 inf + 1 5.023 * * [simplify]: Extracting #4: cost 33 inf + 206 5.025 * * [simplify]: Extracting #5: cost 10 inf + 3516 5.028 * * [simplify]: Extracting #6: cost 0 inf + 4576 5.030 * * [simplify]: Extracting #7: cost 0 inf + 4521 5.033 * [simplify]: Simplified to (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re))) 5.033 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re)))) 2.0)))) 5.033 * * * * [progress]: [ 97 / 136 ] simplifiying candidate # 5.034 * [simplify]: Simplifying (sqrt (- (hypot re im) re)) 5.034 * * [simplify]: iters left: 4 (5 enodes) 5.036 * * [simplify]: iters left: 3 (17 enodes) 5.040 * * [simplify]: iters left: 2 (20 enodes) 5.046 * * [simplify]: Extracting #0: cost 1 inf + 0 5.046 * * [simplify]: Extracting #1: cost 3 inf + 0 5.046 * * [simplify]: Extracting #2: cost 7 inf + 0 5.046 * * [simplify]: Extracting #3: cost 9 inf + 1 5.046 * * [simplify]: Extracting #4: cost 0 inf + 666 5.047 * [simplify]: Simplified to (sqrt (- (hypot re im) re)) 5.047 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (+ (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re))) 2.0)))) 5.047 * * * * [progress]: [ 98 / 136 ] simplifiying candidate # 5.047 * [simplify]: Simplifying (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (hypot re im) re))) 5.047 * * [simplify]: iters left: 6 (11 enodes) 5.054 * * [simplify]: iters left: 5 (49 enodes) 5.073 * * [simplify]: iters left: 4 (84 enodes) 5.104 * * [simplify]: iters left: 3 (133 enodes) 5.153 * * [simplify]: iters left: 2 (219 enodes) 5.230 * * [simplify]: iters left: 1 (406 enodes) 5.404 * * [simplify]: Extracting #0: cost 1 inf + 0 5.404 * * [simplify]: Extracting #1: cost 4 inf + 0 5.404 * * [simplify]: Extracting #2: cost 10 inf + 0 5.404 * * [simplify]: Extracting #3: cost 38 inf + 0 5.405 * * [simplify]: Extracting #4: cost 96 inf + 508 5.405 * * [simplify]: Extracting #5: cost 122 inf + 3440 5.407 * * [simplify]: Extracting #6: cost 75 inf + 22202 5.411 * * [simplify]: Extracting #7: cost 12 inf + 60195 5.417 * * [simplify]: Extracting #8: cost 0 inf + 68362 5.422 * [simplify]: Simplified to (* (sqrt (+ re (hypot re im))) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)))) 5.422 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (+ re (hypot re im))) (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))))) 2.0)))) 5.422 * * * * [progress]: [ 99 / 136 ] simplifiying candidate # 5.422 * [simplify]: Simplifying (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re))) 5.423 * * [simplify]: iters left: 6 (10 enodes) 5.425 * * [simplify]: iters left: 5 (37 enodes) 5.430 * * [simplify]: iters left: 4 (47 enodes) 5.436 * * [simplify]: iters left: 3 (66 enodes) 5.447 * * [simplify]: iters left: 2 (113 enodes) 5.482 * * [simplify]: iters left: 1 (218 enodes) 5.572 * * [simplify]: Extracting #0: cost 1 inf + 0 5.572 * * [simplify]: Extracting #1: cost 4 inf + 0 5.572 * * [simplify]: Extracting #2: cost 8 inf + 0 5.572 * * [simplify]: Extracting #3: cost 31 inf + 0 5.573 * * [simplify]: Extracting #4: cost 61 inf + 42 5.574 * * [simplify]: Extracting #5: cost 56 inf + 287 5.576 * * [simplify]: Extracting #6: cost 20 inf + 5983 5.582 * * [simplify]: Extracting #7: cost 0 inf + 9353 5.588 * * [simplify]: Extracting #8: cost 0 inf + 9293 5.593 * [simplify]: Simplified to (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ re (hypot re im)))) 5.593 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (/ (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ re (hypot re im)))) (sqrt (- (hypot re im) re))) 2.0)))) 5.594 * * * * [progress]: [ 100 / 136 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))))) 2.0))))> 5.594 * * * * [progress]: [ 101 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 102 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 103 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 104 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 105 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 106 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 107 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 108 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 109 / 136 ] simplifiying candidate # 5.594 * * * * [progress]: [ 110 / 136 ] simplifiying candidate # 5.595 * [simplify]: Simplifying (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)))) 5.595 * * [simplify]: iters left: 6 (7 enodes) 5.598 * * [simplify]: iters left: 5 (20 enodes) 5.602 * * [simplify]: Extracting #0: cost 1 inf + 0 5.602 * * [simplify]: Extracting #1: cost 3 inf + 0 5.603 * * [simplify]: Extracting #2: cost 6 inf + 0 5.603 * * [simplify]: Extracting #3: cost 7 inf + 1 5.603 * * [simplify]: Extracting #4: cost 0 inf + 584 5.603 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 5.603 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 5.603 * * * * [progress]: [ 111 / 136 ] simplifiying candidate # 5.604 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) 2.0)) 5.604 * * [simplify]: iters left: 6 (12 enodes) 5.611 * * [simplify]: iters left: 5 (51 enodes) 5.632 * * [simplify]: iters left: 4 (99 enodes) 5.669 * * [simplify]: iters left: 3 (184 enodes) 5.711 * * [simplify]: iters left: 2 (311 enodes) 5.826 * * [simplify]: Extracting #0: cost 1 inf + 0 5.826 * * [simplify]: Extracting #1: cost 3 inf + 0 5.826 * * [simplify]: Extracting #2: cost 12 inf + 0 5.826 * * [simplify]: Extracting #3: cost 57 inf + 1 5.827 * * [simplify]: Extracting #4: cost 115 inf + 3 5.828 * * [simplify]: Extracting #5: cost 104 inf + 2585 5.831 * * [simplify]: Extracting #6: cost 48 inf + 20243 5.838 * * [simplify]: Extracting #7: cost 7 inf + 38445 5.846 * * [simplify]: Extracting #8: cost 0 inf + 41539 5.854 * [simplify]: Simplified to (sqrt (* 2.0 (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))))) 5.854 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (fma (hypot re im) (* (hypot re im) (hypot re im)) (* re (* re re))))) (sqrt (* (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))))) 5.854 * * * * [progress]: [ 112 / 136 ] simplifiying candidate # 5.854 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)) 5.855 * * [simplify]: iters left: 6 (16 enodes) 5.862 * * [simplify]: iters left: 5 (70 enodes) 5.876 * * [simplify]: iters left: 4 (122 enodes) 5.905 * * [simplify]: iters left: 3 (195 enodes) 5.947 * * [simplify]: iters left: 2 (331 enodes) 6.062 * * [simplify]: Extracting #0: cost 1 inf + 0 6.062 * * [simplify]: Extracting #1: cost 3 inf + 0 6.062 * * [simplify]: Extracting #2: cost 10 inf + 0 6.062 * * [simplify]: Extracting #3: cost 18 inf + 1 6.062 * * [simplify]: Extracting #4: cost 66 inf + 1 6.063 * * [simplify]: Extracting #5: cost 109 inf + 85 6.064 * * [simplify]: Extracting #6: cost 85 inf + 5482 6.068 * * [simplify]: Extracting #7: cost 18 inf + 25886 6.076 * * [simplify]: Extracting #8: cost 0 inf + 33242 6.085 * * [simplify]: Extracting #9: cost 0 inf + 32980 6.093 * [simplify]: Simplified to (sqrt (* (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re))) (* (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) 2.0))) 6.093 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re))) (* (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) 2.0))) (sqrt (* (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (- (hypot re im) re))))))) 6.093 * * * * [progress]: [ 113 / 136 ] simplifiying candidate # 6.094 * [simplify]: Simplifying (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) 2.0)) 6.094 * * [simplify]: iters left: 6 (16 enodes) 6.103 * * [simplify]: iters left: 5 (70 enodes) 6.130 * * [simplify]: iters left: 4 (122 enodes) 6.176 * * [simplify]: iters left: 3 (196 enodes) 6.235 * * [simplify]: iters left: 2 (332 enodes) 6.341 * * [simplify]: Extracting #0: cost 1 inf + 0 6.341 * * [simplify]: Extracting #1: cost 3 inf + 0 6.341 * * [simplify]: Extracting #2: cost 10 inf + 0 6.341 * * [simplify]: Extracting #3: cost 18 inf + 1 6.341 * * [simplify]: Extracting #4: cost 66 inf + 1 6.342 * * [simplify]: Extracting #5: cost 111 inf + 44 6.343 * * [simplify]: Extracting #6: cost 91 inf + 3237 6.350 * * [simplify]: Extracting #7: cost 21 inf + 22826 6.359 * * [simplify]: Extracting #8: cost 1 inf + 33174 6.368 * * [simplify]: Extracting #9: cost 0 inf + 33848 6.376 * [simplify]: Simplified to (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)))))) 6.377 * [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)))))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))))) 6.377 * * * * [progress]: [ 114 / 136 ] simplifiying candidate # 6.377 * [simplify]: Simplifying (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)) 6.377 * * [simplify]: iters left: 6 (11 enodes) 6.383 * * [simplify]: iters left: 5 (40 enodes) 6.400 * * [simplify]: iters left: 4 (67 enodes) 6.412 * * [simplify]: iters left: 3 (125 enodes) 6.439 * * [simplify]: iters left: 2 (288 enodes) 6.605 * * [simplify]: Extracting #0: cost 1 inf + 0 6.605 * * [simplify]: Extracting #1: cost 3 inf + 0 6.605 * * [simplify]: Extracting #2: cost 51 inf + 0 6.606 * * [simplify]: Extracting #3: cost 113 inf + 2 6.608 * * [simplify]: Extracting #4: cost 87 inf + 3849 6.616 * * [simplify]: Extracting #5: cost 19 inf + 15648 6.626 * * [simplify]: Extracting #6: cost 0 inf + 19580 6.635 * * [simplify]: Extracting #7: cost 0 inf + 19500 6.640 * [simplify]: Simplified to (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) 6.641 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* 2.0 (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (* (sqrt (- (hypot re im) re)) (sqrt (- (hypot re im) re))))))) 6.641 * * * * [progress]: [ 115 / 136 ] simplifiying candidate # 6.641 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) 2.0)) 6.641 * * [simplify]: iters left: 6 (14 enodes) 6.645 * * [simplify]: iters left: 5 (61 enodes) 6.658 * * [simplify]: iters left: 4 (104 enodes) 6.687 * * [simplify]: iters left: 3 (158 enodes) 6.713 * * [simplify]: iters left: 2 (237 enodes) 6.778 * * [simplify]: iters left: 1 (428 enodes) 6.940 * * [simplify]: Extracting #0: cost 1 inf + 0 6.940 * * [simplify]: Extracting #1: cost 3 inf + 0 6.941 * * [simplify]: Extracting #2: cost 10 inf + 0 6.941 * * [simplify]: Extracting #3: cost 18 inf + 1 6.941 * * [simplify]: Extracting #4: cost 44 inf + 1 6.941 * * [simplify]: Extracting #5: cost 97 inf + 257 6.943 * * [simplify]: Extracting #6: cost 119 inf + 2766 6.948 * * [simplify]: Extracting #7: cost 59 inf + 29414 6.957 * * [simplify]: Extracting #8: cost 9 inf + 56551 6.966 * * [simplify]: Extracting #9: cost 0 inf + 61816 6.972 * [simplify]: Simplified to (sqrt (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))))) 6.972 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))))) 6.972 * * * * [progress]: [ 116 / 136 ] simplifiying candidate # 6.972 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 2.0)) 6.972 * * [simplify]: iters left: 6 (13 enodes) 6.979 * * [simplify]: iters left: 5 (49 enodes) 6.986 * * [simplify]: iters left: 4 (67 enodes) 6.996 * * [simplify]: iters left: 3 (91 enodes) 7.026 * * [simplify]: iters left: 2 (138 enodes) 7.051 * * [simplify]: iters left: 1 (243 enodes) 7.140 * * [simplify]: Extracting #0: cost 1 inf + 0 7.140 * * [simplify]: Extracting #1: cost 3 inf + 0 7.140 * * [simplify]: Extracting #2: cost 10 inf + 0 7.141 * * [simplify]: Extracting #3: cost 16 inf + 1 7.141 * * [simplify]: Extracting #4: cost 40 inf + 1 7.141 * * [simplify]: Extracting #5: cost 71 inf + 2 7.142 * * [simplify]: Extracting #6: cost 66 inf + 207 7.145 * * [simplify]: Extracting #7: cost 21 inf + 7270 7.152 * * [simplify]: Extracting #8: cost 2 inf + 11599 7.159 * * [simplify]: Extracting #9: cost 0 inf + 11895 7.164 * [simplify]: Simplified to (sqrt (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (* (sqrt (+ re (hypot re im))) 2.0))) 7.164 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (* (sqrt (+ re (hypot re im))) 2.0))) (sqrt (sqrt (- (hypot re im) re)))))) 7.164 * * * * [progress]: [ 117 / 136 ] simplifiying candidate # 7.164 * [simplify]: Simplifying (sqrt (* (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt (+ (hypot re im) re))) 2.0)) 7.165 * * [simplify]: iters left: 6 (14 enodes) 7.169 * * [simplify]: iters left: 5 (61 enodes) 7.183 * * [simplify]: iters left: 4 (104 enodes) 7.202 * * [simplify]: iters left: 3 (158 enodes) 7.228 * * [simplify]: iters left: 2 (237 enodes) 7.290 * * [simplify]: iters left: 1 (428 enodes) 7.481 * * [simplify]: Extracting #0: cost 1 inf + 0 7.481 * * [simplify]: Extracting #1: cost 3 inf + 0 7.481 * * [simplify]: Extracting #2: cost 10 inf + 0 7.481 * * [simplify]: Extracting #3: cost 18 inf + 1 7.481 * * [simplify]: Extracting #4: cost 45 inf + 1 7.482 * * [simplify]: Extracting #5: cost 97 inf + 338 7.482 * * [simplify]: Extracting #6: cost 118 inf + 3462 7.485 * * [simplify]: Extracting #7: cost 57 inf + 29320 7.490 * * [simplify]: Extracting #8: cost 8 inf + 57361 7.496 * * [simplify]: Extracting #9: cost 0 inf + 62319 7.501 * [simplify]: Simplified to (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))))) 2.0)) 7.501 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (* (sqrt (+ re (hypot re im))) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))))) 2.0)) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))))) 7.501 * * * * [progress]: [ 118 / 136 ] simplifiying candidate # 7.502 * [simplify]: Simplifying (sqrt (* (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt (+ (hypot re im) re))) 2.0)) 7.502 * * [simplify]: iters left: 6 (13 enodes) 7.505 * * [simplify]: iters left: 5 (49 enodes) 7.518 * * [simplify]: iters left: 4 (67 enodes) 7.537 * * [simplify]: iters left: 3 (91 enodes) 7.564 * * [simplify]: iters left: 2 (138 enodes) 7.620 * * [simplify]: iters left: 1 (243 enodes) 7.719 * * [simplify]: Extracting #0: cost 1 inf + 0 7.719 * * [simplify]: Extracting #1: cost 3 inf + 0 7.719 * * [simplify]: Extracting #2: cost 10 inf + 0 7.719 * * [simplify]: Extracting #3: cost 16 inf + 1 7.719 * * [simplify]: Extracting #4: cost 39 inf + 1 7.720 * * [simplify]: Extracting #5: cost 67 inf + 124 7.721 * * [simplify]: Extracting #6: cost 62 inf + 329 7.723 * * [simplify]: Extracting #7: cost 32 inf + 4829 7.729 * * [simplify]: Extracting #8: cost 4 inf + 10841 7.736 * * [simplify]: Extracting #9: cost 0 inf + 11541 7.743 * [simplify]: Simplified to (sqrt (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))))) 7.743 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (sqrt (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))))) (sqrt (sqrt (- (hypot re im) re)))))) 7.743 * * * * [progress]: [ 119 / 136 ] simplifiying candidate # 7.743 * [simplify]: Simplifying (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0) 7.744 * * [simplify]: iters left: 6 (8 enodes) 7.748 * * [simplify]: iters left: 5 (26 enodes) 7.756 * * [simplify]: iters left: 4 (39 enodes) 7.768 * * [simplify]: iters left: 3 (51 enodes) 7.780 * * [simplify]: Extracting #0: cost 1 inf + 0 7.780 * * [simplify]: Extracting #1: cost 10 inf + 0 7.780 * * [simplify]: Extracting #2: cost 15 inf + 2 7.780 * * [simplify]: Extracting #3: cost 12 inf + 87 7.781 * * [simplify]: Extracting #4: cost 6 inf + 632 7.781 * * [simplify]: Extracting #5: cost 0 inf + 1497 7.782 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 7.782 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 7.782 * * * * [progress]: [ 120 / 136 ] simplifiying candidate # 7.783 * [simplify]: Simplifying (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0) 7.783 * * [simplify]: iters left: 6 (8 enodes) 7.787 * * [simplify]: iters left: 5 (26 enodes) 7.795 * * [simplify]: iters left: 4 (39 enodes) 7.808 * * [simplify]: iters left: 3 (51 enodes) 7.821 * * [simplify]: Extracting #0: cost 1 inf + 0 7.821 * * [simplify]: Extracting #1: cost 10 inf + 0 7.821 * * [simplify]: Extracting #2: cost 15 inf + 2 7.821 * * [simplify]: Extracting #3: cost 12 inf + 87 7.822 * * [simplify]: Extracting #4: cost 6 inf + 632 7.822 * * [simplify]: Extracting #5: cost 0 inf + 1497 7.823 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 7.823 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 7.823 * * * * [progress]: [ 121 / 136 ] simplifiying candidate # 7.824 * [simplify]: Simplifying (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0) 7.824 * * [simplify]: iters left: 6 (8 enodes) 7.828 * * [simplify]: iters left: 5 (26 enodes) 7.836 * * [simplify]: iters left: 4 (39 enodes) 7.848 * * [simplify]: iters left: 3 (51 enodes) 7.860 * * [simplify]: Extracting #0: cost 1 inf + 0 7.860 * * [simplify]: Extracting #1: cost 10 inf + 0 7.860 * * [simplify]: Extracting #2: cost 15 inf + 2 7.860 * * [simplify]: Extracting #3: cost 12 inf + 87 7.861 * * [simplify]: Extracting #4: cost 6 inf + 632 7.865 * * [simplify]: Extracting #5: cost 0 inf + 1497 7.865 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 7.865 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 7.865 * * * * [progress]: [ 122 / 136 ] simplifiying candidate # 7.865 * * * * [progress]: [ 123 / 136 ] simplifiying candidate # 7.865 * * * * [progress]: [ 124 / 136 ] simplifiying candidate #real (real->posit16 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) 2.0))))))> 7.865 * * * * [progress]: [ 125 / 136 ] simplifiying candidate # 7.866 * [simplify]: Simplifying (+ re im) 7.866 * * [simplify]: iters left: 2 (3 enodes) 7.867 * * [simplify]: iters left: 1 (10 enodes) 7.868 * * [simplify]: Extracting #0: cost 1 inf + 0 7.868 * * [simplify]: Extracting #1: cost 4 inf + 0 7.868 * * [simplify]: Extracting #2: cost 2 inf + 2 7.868 * * [simplify]: Extracting #3: cost 0 inf + 86 7.868 * [simplify]: Simplified to (+ im re) 7.868 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ im re))) 2.0)))) 7.868 * * * * [progress]: [ 126 / 136 ] simplifiying candidate # 7.868 * [simplify]: Simplifying (* 2 re) 7.868 * * [simplify]: iters left: 2 (3 enodes) 7.869 * * [simplify]: iters left: 1 (10 enodes) 7.871 * * [simplify]: Extracting #0: cost 1 inf + 0 7.871 * * [simplify]: Extracting #1: cost 4 inf + 0 7.871 * * [simplify]: Extracting #2: cost 2 inf + 2 7.871 * * [simplify]: Extracting #3: cost 0 inf + 86 7.871 * [simplify]: Simplified to (* 2 re) 7.871 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt (* 2 re))) 2.0)))) 7.871 * * * * [progress]: [ 127 / 136 ] simplifiying candidate # 7.871 * [simplify]: Simplifying 0 7.871 * * [simplify]: iters left: 0 (1 enodes) 7.872 * * [simplify]: Extracting #0: cost 1 inf + 0 7.872 * * [simplify]: Extracting #1: cost 0 inf + 1 7.872 * [simplify]: Simplified to 0 7.872 * [simplify]: Simplified (2 2 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ (hypot re im) re)) (sqrt 0)) 2.0)))) 7.872 * * * * [progress]: [ 128 / 136 ] simplifiying candidate # 7.872 * [simplify]: Simplifying (+ re im) 7.872 * * [simplify]: iters left: 2 (3 enodes) 7.873 * * [simplify]: iters left: 1 (10 enodes) 7.874 * * [simplify]: Extracting #0: cost 1 inf + 0 7.874 * * [simplify]: Extracting #1: cost 4 inf + 0 7.874 * * [simplify]: Extracting #2: cost 2 inf + 2 7.874 * * [simplify]: Extracting #3: cost 0 inf + 86 7.874 * [simplify]: Simplified to (+ im re) 7.874 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (+ im re)) (sqrt (+ (hypot re im) re))) 2.0)))) 7.874 * * * * [progress]: [ 129 / 136 ] simplifiying candidate # 7.874 * [simplify]: Simplifying (* 2 re) 7.874 * * [simplify]: iters left: 2 (3 enodes) 7.875 * * [simplify]: iters left: 1 (10 enodes) 7.877 * * [simplify]: Extracting #0: cost 1 inf + 0 7.877 * * [simplify]: Extracting #1: cost 4 inf + 0 7.877 * * [simplify]: Extracting #2: cost 2 inf + 2 7.877 * * [simplify]: Extracting #3: cost 0 inf + 86 7.877 * [simplify]: Simplified to (* 2 re) 7.877 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt (* 2 re)) (sqrt (+ (hypot re im) re))) 2.0)))) 7.877 * * * * [progress]: [ 130 / 136 ] simplifiying candidate # 7.877 * [simplify]: Simplifying 0 7.877 * * [simplify]: iters left: 0 (1 enodes) 7.878 * * [simplify]: Extracting #0: cost 1 inf + 0 7.878 * * [simplify]: Extracting #1: cost 0 inf + 1 7.878 * [simplify]: Simplified to 0 7.878 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (* (sqrt 0) (sqrt (+ (hypot re im) re))) 2.0)))) 7.878 * * * * [progress]: [ 131 / 136 ] simplifiying candidate # 7.878 * [simplify]: Simplifying (+ re im) 7.878 * * [simplify]: iters left: 2 (3 enodes) 7.879 * * [simplify]: iters left: 1 (10 enodes) 7.880 * * [simplify]: Extracting #0: cost 1 inf + 0 7.880 * * [simplify]: Extracting #1: cost 4 inf + 0 7.880 * * [simplify]: Extracting #2: cost 2 inf + 2 7.880 * * [simplify]: Extracting #3: cost 0 inf + 86 7.880 * [simplify]: Simplified to (+ im re) 7.880 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 7.880 * * * * [progress]: [ 132 / 136 ] simplifiying candidate # 7.880 * [simplify]: Simplifying (* 2 re) 7.880 * * [simplify]: iters left: 2 (3 enodes) 7.881 * * [simplify]: iters left: 1 (10 enodes) 7.883 * * [simplify]: Extracting #0: cost 1 inf + 0 7.883 * * [simplify]: Extracting #1: cost 4 inf + 0 7.883 * * [simplify]: Extracting #2: cost 2 inf + 2 7.883 * * [simplify]: Extracting #3: cost 0 inf + 86 7.883 * [simplify]: Simplified to (* 2 re) 7.883 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 7.883 * * * * [progress]: [ 133 / 136 ] simplifiying candidate # 7.883 * [simplify]: Simplifying 0 7.883 * * [simplify]: iters left: 0 (1 enodes) 7.884 * * [simplify]: Extracting #0: cost 1 inf + 0 7.884 * * [simplify]: Extracting #1: cost 0 inf + 1 7.884 * [simplify]: Simplified to 0 7.884 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 7.884 * * * * [progress]: [ 134 / 136 ] simplifiying candidate # 7.884 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 7.884 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.884 * * * * [progress]: [ 135 / 136 ] simplifiying candidate # 7.884 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 7.884 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 7.885 * * * * [progress]: [ 136 / 136 ] simplifiying candidate # 7.885 * [simplify]: Simplifying 0 7.885 * * [simplify]: iters left: 0 (1 enodes) 7.885 * * [simplify]: Extracting #0: cost 1 inf + 0 7.885 * * [simplify]: Extracting #1: cost 0 inf + 1 7.885 * [simplify]: Simplified to 0 7.885 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 7.885 * * * [progress]: adding candidates to table 9.386 * * [progress]: iteration 3 / 4 9.386 * * * [progress]: picking best candidate 9.451 * * * * [pick]: Picked # 9.451 * * * [progress]: localizing error 9.499 * * * [progress]: generating rewritten candidates 9.499 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 9.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 9.534 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 9.557 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 9.559 * * * [progress]: generating series expansions 9.560 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 9.560 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 9.560 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 9.560 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 9.560 * [taylor]: Taking taylor expansion of (hypot re im) in im 9.560 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.560 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 9.560 * [taylor]: Taking taylor expansion of (* re re) in im 9.560 * [taylor]: Taking taylor expansion of re in im 9.560 * [backup-simplify]: Simplify re into re 9.560 * [taylor]: Taking taylor expansion of re in im 9.560 * [backup-simplify]: Simplify re into re 9.560 * [taylor]: Taking taylor expansion of (* im im) in im 9.560 * [taylor]: Taking taylor expansion of im in im 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [taylor]: Taking taylor expansion of im in im 9.560 * [backup-simplify]: Simplify 0 into 0 9.560 * [backup-simplify]: Simplify 1 into 1 9.560 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.561 * [backup-simplify]: Simplify (* 0 0) into 0 9.561 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.561 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.561 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.562 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.563 * [backup-simplify]: Simplify (+ 0 0) into 0 9.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.563 * [taylor]: Taking taylor expansion of re in im 9.563 * [backup-simplify]: Simplify re into re 9.563 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 9.563 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.563 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.563 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.563 * [taylor]: Taking taylor expansion of (* re re) in re 9.563 * [taylor]: Taking taylor expansion of re in re 9.563 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of re in re 9.563 * [backup-simplify]: Simplify 0 into 0 9.563 * [backup-simplify]: Simplify 1 into 1 9.563 * [taylor]: Taking taylor expansion of (* im im) in re 9.563 * [taylor]: Taking taylor expansion of im in re 9.563 * [backup-simplify]: Simplify im into im 9.563 * [taylor]: Taking taylor expansion of im in re 9.563 * [backup-simplify]: Simplify im into im 9.564 * [backup-simplify]: Simplify (* 0 0) into 0 9.564 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.564 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.564 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.565 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.565 * [backup-simplify]: Simplify (+ 0 0) into 0 9.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.565 * [taylor]: Taking taylor expansion of re in re 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 1 into 1 9.565 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 9.565 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.565 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.565 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.565 * [taylor]: Taking taylor expansion of (* re re) in re 9.565 * [taylor]: Taking taylor expansion of re in re 9.565 * [backup-simplify]: Simplify 0 into 0 9.565 * [backup-simplify]: Simplify 1 into 1 9.565 * [taylor]: Taking taylor expansion of re in re 9.566 * [backup-simplify]: Simplify 0 into 0 9.566 * [backup-simplify]: Simplify 1 into 1 9.566 * [taylor]: Taking taylor expansion of (* im im) in re 9.566 * [taylor]: Taking taylor expansion of im in re 9.566 * [backup-simplify]: Simplify im into im 9.566 * [taylor]: Taking taylor expansion of im in re 9.566 * [backup-simplify]: Simplify im into im 9.566 * [backup-simplify]: Simplify (* 0 0) into 0 9.566 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.566 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.566 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.567 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.567 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.568 * [backup-simplify]: Simplify (+ 0 0) into 0 9.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.568 * [taylor]: Taking taylor expansion of re in re 9.568 * [backup-simplify]: Simplify 0 into 0 9.568 * [backup-simplify]: Simplify 1 into 1 9.568 * [backup-simplify]: Simplify (+ im 0) into im 9.568 * [taylor]: Taking taylor expansion of im in im 9.568 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [backup-simplify]: Simplify 0 into 0 9.569 * [backup-simplify]: Simplify (+ 0 1) into 1 9.569 * [taylor]: Taking taylor expansion of 1 in im 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [backup-simplify]: Simplify 1 into 1 9.569 * [backup-simplify]: Simplify 1 into 1 9.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.570 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.571 * [backup-simplify]: Simplify (+ 1 0) into 1 9.572 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.572 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 9.572 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 9.572 * [taylor]: Taking taylor expansion of 1/2 in im 9.572 * [backup-simplify]: Simplify 1/2 into 1/2 9.572 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.572 * [taylor]: Taking taylor expansion of im in im 9.572 * [backup-simplify]: Simplify 0 into 0 9.572 * [backup-simplify]: Simplify 1 into 1 9.572 * [backup-simplify]: Simplify (/ 1 1) into 1 9.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.574 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 0 into 0 9.574 * [backup-simplify]: Simplify 0 into 0 9.575 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.576 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.576 * [backup-simplify]: Simplify (+ 0 0) into 0 9.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.577 * [backup-simplify]: Simplify (+ 0 0) into 0 9.577 * [taylor]: Taking taylor expansion of 0 in im 9.577 * [backup-simplify]: Simplify 0 into 0 9.577 * [backup-simplify]: Simplify 0 into 0 9.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.579 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify 0 into 0 9.579 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 9.580 * [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))) 9.580 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 9.580 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 9.580 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.580 * [taylor]: Taking taylor expansion of re in im 9.580 * [backup-simplify]: Simplify re into re 9.580 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.580 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 9.580 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.580 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 9.580 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 9.580 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.580 * [taylor]: Taking taylor expansion of re in im 9.580 * [backup-simplify]: Simplify re into re 9.580 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.580 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.580 * [taylor]: Taking taylor expansion of re in im 9.580 * [backup-simplify]: Simplify re into re 9.580 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.580 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 9.580 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.580 * [taylor]: Taking taylor expansion of im in im 9.580 * [backup-simplify]: Simplify 0 into 0 9.580 * [backup-simplify]: Simplify 1 into 1 9.581 * [backup-simplify]: Simplify (/ 1 1) into 1 9.581 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.581 * [taylor]: Taking taylor expansion of im in im 9.581 * [backup-simplify]: Simplify 0 into 0 9.581 * [backup-simplify]: Simplify 1 into 1 9.581 * [backup-simplify]: Simplify (/ 1 1) into 1 9.582 * [backup-simplify]: Simplify (* 1 1) into 1 9.582 * [backup-simplify]: Simplify (+ 0 1) into 1 9.583 * [backup-simplify]: Simplify (sqrt 1) into 1 9.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.585 * [backup-simplify]: Simplify (+ 0 0) into 0 9.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.586 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 9.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.586 * [taylor]: Taking taylor expansion of re in re 9.586 * [backup-simplify]: Simplify 0 into 0 9.586 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (/ 1 1) into 1 9.587 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.587 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.587 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.587 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.587 * [taylor]: Taking taylor expansion of re in re 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify 1 into 1 9.587 * [backup-simplify]: Simplify (/ 1 1) into 1 9.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.587 * [taylor]: Taking taylor expansion of re in re 9.587 * [backup-simplify]: Simplify 0 into 0 9.587 * [backup-simplify]: Simplify 1 into 1 9.588 * [backup-simplify]: Simplify (/ 1 1) into 1 9.588 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.588 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.588 * [taylor]: Taking taylor expansion of im in re 9.588 * [backup-simplify]: Simplify im into im 9.588 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.588 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.588 * [taylor]: Taking taylor expansion of im in re 9.588 * [backup-simplify]: Simplify im into im 9.588 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.588 * [backup-simplify]: Simplify (* 1 1) into 1 9.589 * [backup-simplify]: Simplify (+ 1 0) into 1 9.589 * [backup-simplify]: Simplify (sqrt 1) into 1 9.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.592 * [backup-simplify]: Simplify (+ 0 0) into 0 9.593 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.593 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 9.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.593 * [taylor]: Taking taylor expansion of re in re 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [backup-simplify]: Simplify 1 into 1 9.593 * [backup-simplify]: Simplify (/ 1 1) into 1 9.593 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.593 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.593 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.593 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.593 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.593 * [taylor]: Taking taylor expansion of re in re 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [backup-simplify]: Simplify (/ 1 1) into 1 9.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.594 * [taylor]: Taking taylor expansion of re in re 9.594 * [backup-simplify]: Simplify 0 into 0 9.594 * [backup-simplify]: Simplify 1 into 1 9.594 * [backup-simplify]: Simplify (/ 1 1) into 1 9.594 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.594 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.595 * [taylor]: Taking taylor expansion of im in re 9.595 * [backup-simplify]: Simplify im into im 9.595 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.595 * [taylor]: Taking taylor expansion of im in re 9.595 * [backup-simplify]: Simplify im into im 9.595 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.595 * [backup-simplify]: Simplify (* 1 1) into 1 9.596 * [backup-simplify]: Simplify (+ 1 0) into 1 9.596 * [backup-simplify]: Simplify (sqrt 1) into 1 9.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.599 * [backup-simplify]: Simplify (+ 0 0) into 0 9.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.600 * [backup-simplify]: Simplify (+ 1 1) into 2 9.600 * [taylor]: Taking taylor expansion of 2 in im 9.600 * [backup-simplify]: Simplify 2 into 2 9.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.601 * [backup-simplify]: Simplify (+ 0 0) into 0 9.601 * [taylor]: Taking taylor expansion of 0 in im 9.601 * [backup-simplify]: Simplify 0 into 0 9.601 * [backup-simplify]: Simplify 2 into 2 9.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.605 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.605 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.606 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.607 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.607 * [taylor]: Taking taylor expansion of 1/2 in im 9.607 * [backup-simplify]: Simplify 1/2 into 1/2 9.607 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.607 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.607 * [taylor]: Taking taylor expansion of im in im 9.607 * [backup-simplify]: Simplify 0 into 0 9.607 * [backup-simplify]: Simplify 1 into 1 9.607 * [backup-simplify]: Simplify (* 1 1) into 1 9.608 * [backup-simplify]: Simplify (/ 1 1) into 1 9.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.610 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.610 * [backup-simplify]: Simplify 0 into 0 9.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.614 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.615 * [backup-simplify]: Simplify (+ 0 0) into 0 9.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.616 * [backup-simplify]: Simplify (+ 0 0) into 0 9.616 * [taylor]: Taking taylor expansion of 0 in im 9.616 * [backup-simplify]: Simplify 0 into 0 9.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.619 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify 0 into 0 9.619 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 9.619 * [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)) 9.619 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 9.619 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 9.619 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.620 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.620 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.620 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.620 * [taylor]: Taking taylor expansion of -1 in im 9.620 * [backup-simplify]: Simplify -1 into -1 9.620 * [taylor]: Taking taylor expansion of re in im 9.620 * [backup-simplify]: Simplify re into re 9.620 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.620 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.620 * [taylor]: Taking taylor expansion of -1 in im 9.620 * [backup-simplify]: Simplify -1 into -1 9.620 * [taylor]: Taking taylor expansion of re in im 9.620 * [backup-simplify]: Simplify re into re 9.620 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.620 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.620 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.620 * [taylor]: Taking taylor expansion of -1 in im 9.620 * [backup-simplify]: Simplify -1 into -1 9.620 * [taylor]: Taking taylor expansion of im in im 9.620 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify 1 into 1 9.621 * [backup-simplify]: Simplify (/ -1 1) into -1 9.621 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.621 * [taylor]: Taking taylor expansion of -1 in im 9.621 * [backup-simplify]: Simplify -1 into -1 9.621 * [taylor]: Taking taylor expansion of im in im 9.621 * [backup-simplify]: Simplify 0 into 0 9.621 * [backup-simplify]: Simplify 1 into 1 9.621 * [backup-simplify]: Simplify (/ -1 1) into -1 9.622 * [backup-simplify]: Simplify (* -1 -1) into 1 9.622 * [backup-simplify]: Simplify (+ 0 1) into 1 9.622 * [backup-simplify]: Simplify (sqrt 1) into 1 9.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.625 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.625 * [backup-simplify]: Simplify (+ 0 0) into 0 9.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.626 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.626 * [taylor]: Taking taylor expansion of re in im 9.626 * [backup-simplify]: Simplify re into re 9.626 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.626 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 9.626 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.626 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.626 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.626 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.626 * [taylor]: Taking taylor expansion of -1 in re 9.626 * [backup-simplify]: Simplify -1 into -1 9.626 * [taylor]: Taking taylor expansion of re in re 9.626 * [backup-simplify]: Simplify 0 into 0 9.626 * [backup-simplify]: Simplify 1 into 1 9.627 * [backup-simplify]: Simplify (/ -1 1) into -1 9.627 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.627 * [taylor]: Taking taylor expansion of -1 in re 9.627 * [backup-simplify]: Simplify -1 into -1 9.627 * [taylor]: Taking taylor expansion of re in re 9.627 * [backup-simplify]: Simplify 0 into 0 9.627 * [backup-simplify]: Simplify 1 into 1 9.628 * [backup-simplify]: Simplify (/ -1 1) into -1 9.628 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.628 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.628 * [taylor]: Taking taylor expansion of -1 in re 9.628 * [backup-simplify]: Simplify -1 into -1 9.628 * [taylor]: Taking taylor expansion of im in re 9.628 * [backup-simplify]: Simplify im into im 9.628 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.628 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.628 * [taylor]: Taking taylor expansion of -1 in re 9.628 * [backup-simplify]: Simplify -1 into -1 9.628 * [taylor]: Taking taylor expansion of im in re 9.628 * [backup-simplify]: Simplify im into im 9.628 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.628 * [backup-simplify]: Simplify (* -1 -1) into 1 9.629 * [backup-simplify]: Simplify (+ 1 0) into 1 9.629 * [backup-simplify]: Simplify (sqrt 1) into 1 9.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.632 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.632 * [backup-simplify]: Simplify (+ 0 0) into 0 9.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.633 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.633 * [taylor]: Taking taylor expansion of re in re 9.633 * [backup-simplify]: Simplify 0 into 0 9.633 * [backup-simplify]: Simplify 1 into 1 9.633 * [backup-simplify]: Simplify (/ 1 1) into 1 9.633 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 9.633 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.633 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.633 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.633 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.633 * [taylor]: Taking taylor expansion of -1 in re 9.634 * [backup-simplify]: Simplify -1 into -1 9.634 * [taylor]: Taking taylor expansion of re in re 9.634 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify 1 into 1 9.634 * [backup-simplify]: Simplify (/ -1 1) into -1 9.634 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.634 * [taylor]: Taking taylor expansion of -1 in re 9.634 * [backup-simplify]: Simplify -1 into -1 9.634 * [taylor]: Taking taylor expansion of re in re 9.634 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify 1 into 1 9.635 * [backup-simplify]: Simplify (/ -1 1) into -1 9.635 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.635 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.635 * [taylor]: Taking taylor expansion of -1 in re 9.635 * [backup-simplify]: Simplify -1 into -1 9.635 * [taylor]: Taking taylor expansion of im in re 9.635 * [backup-simplify]: Simplify im into im 9.635 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.635 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.635 * [taylor]: Taking taylor expansion of -1 in re 9.635 * [backup-simplify]: Simplify -1 into -1 9.635 * [taylor]: Taking taylor expansion of im in re 9.635 * [backup-simplify]: Simplify im into im 9.635 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.636 * [backup-simplify]: Simplify (* -1 -1) into 1 9.636 * [backup-simplify]: Simplify (+ 1 0) into 1 9.636 * [backup-simplify]: Simplify (sqrt 1) into 1 9.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.644 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.645 * [backup-simplify]: Simplify (+ 0 0) into 0 9.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.645 * [taylor]: Taking taylor expansion of re in re 9.645 * [backup-simplify]: Simplify 0 into 0 9.646 * [backup-simplify]: Simplify 1 into 1 9.646 * [backup-simplify]: Simplify (/ 1 1) into 1 9.646 * [backup-simplify]: Simplify (- 1) into -1 9.647 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.647 * [taylor]: Taking taylor expansion of 0 in im 9.647 * [backup-simplify]: Simplify 0 into 0 9.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.648 * [backup-simplify]: Simplify (- 0) into 0 9.649 * [backup-simplify]: Simplify (+ 0 0) into 0 9.649 * [taylor]: Taking taylor expansion of 0 in im 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify 0 into 0 9.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.650 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.650 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.650 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.651 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.652 * [backup-simplify]: Simplify (- 0) into 0 9.652 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.652 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 9.652 * [taylor]: Taking taylor expansion of 1/2 in im 9.652 * [backup-simplify]: Simplify 1/2 into 1/2 9.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 9.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.652 * [taylor]: Taking taylor expansion of im in im 9.652 * [backup-simplify]: Simplify 0 into 0 9.652 * [backup-simplify]: Simplify 1 into 1 9.652 * [backup-simplify]: Simplify (* 1 1) into 1 9.653 * [backup-simplify]: Simplify (/ 1 1) into 1 9.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.654 * [backup-simplify]: Simplify 0 into 0 9.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.656 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.656 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.656 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.656 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.657 * [backup-simplify]: Simplify (+ 0 0) into 0 9.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.658 * [backup-simplify]: Simplify (- 0) into 0 9.658 * [backup-simplify]: Simplify (+ 0 0) into 0 9.658 * [taylor]: Taking taylor expansion of 0 in im 9.658 * [backup-simplify]: Simplify 0 into 0 9.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.660 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 9.660 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 9.660 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 9.660 * [taylor]: Taking taylor expansion of (hypot re im) in im 9.660 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.660 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 9.660 * [taylor]: Taking taylor expansion of (* re re) in im 9.660 * [taylor]: Taking taylor expansion of re in im 9.660 * [backup-simplify]: Simplify re into re 9.660 * [taylor]: Taking taylor expansion of re in im 9.660 * [backup-simplify]: Simplify re into re 9.660 * [taylor]: Taking taylor expansion of (* im im) in im 9.660 * [taylor]: Taking taylor expansion of im in im 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 1 into 1 9.660 * [taylor]: Taking taylor expansion of im in im 9.660 * [backup-simplify]: Simplify 0 into 0 9.660 * [backup-simplify]: Simplify 1 into 1 9.660 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.660 * [backup-simplify]: Simplify (* 0 0) into 0 9.660 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.660 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.661 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.661 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.661 * [backup-simplify]: Simplify (+ 0 0) into 0 9.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.661 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.661 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.661 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.661 * [taylor]: Taking taylor expansion of (* re re) in re 9.661 * [taylor]: Taking taylor expansion of re in re 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 1 into 1 9.661 * [taylor]: Taking taylor expansion of re in re 9.661 * [backup-simplify]: Simplify 0 into 0 9.661 * [backup-simplify]: Simplify 1 into 1 9.661 * [taylor]: Taking taylor expansion of (* im im) in re 9.661 * [taylor]: Taking taylor expansion of im in re 9.661 * [backup-simplify]: Simplify im into im 9.661 * [taylor]: Taking taylor expansion of im in re 9.661 * [backup-simplify]: Simplify im into im 9.662 * [backup-simplify]: Simplify (* 0 0) into 0 9.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.662 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.662 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.662 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.662 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.663 * [backup-simplify]: Simplify (+ 0 0) into 0 9.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.663 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.663 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.663 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.663 * [taylor]: Taking taylor expansion of (* re re) in re 9.663 * [taylor]: Taking taylor expansion of re in re 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [taylor]: Taking taylor expansion of re in re 9.663 * [backup-simplify]: Simplify 0 into 0 9.663 * [backup-simplify]: Simplify 1 into 1 9.663 * [taylor]: Taking taylor expansion of (* im im) in re 9.663 * [taylor]: Taking taylor expansion of im in re 9.663 * [backup-simplify]: Simplify im into im 9.663 * [taylor]: Taking taylor expansion of im in re 9.663 * [backup-simplify]: Simplify im into im 9.663 * [backup-simplify]: Simplify (* 0 0) into 0 9.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.663 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.663 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.664 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.664 * [backup-simplify]: Simplify (+ 0 0) into 0 9.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.664 * [taylor]: Taking taylor expansion of im in im 9.664 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify 1 into 1 9.664 * [backup-simplify]: Simplify 0 into 0 9.664 * [taylor]: Taking taylor expansion of 0 in im 9.664 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify 0 into 0 9.664 * [backup-simplify]: Simplify 1 into 1 9.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.665 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.665 * [backup-simplify]: Simplify (+ 1 0) into 1 9.666 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.666 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 9.666 * [taylor]: Taking taylor expansion of 1/2 in im 9.666 * [backup-simplify]: Simplify 1/2 into 1/2 9.666 * [taylor]: Taking taylor expansion of im in im 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.667 * [backup-simplify]: Simplify 0 into 0 9.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 9.668 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 9.668 * [backup-simplify]: Simplify (+ 0 0) into 0 9.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 9.669 * [taylor]: Taking taylor expansion of 0 in im 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify 0 into 0 9.669 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 9.669 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 9.669 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 9.669 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 9.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.670 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 9.670 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 9.670 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.670 * [taylor]: Taking taylor expansion of re in im 9.670 * [backup-simplify]: Simplify re into re 9.670 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.670 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.670 * [taylor]: Taking taylor expansion of re in im 9.670 * [backup-simplify]: Simplify re into re 9.670 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.670 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 9.670 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.670 * [taylor]: Taking taylor expansion of im in im 9.670 * [backup-simplify]: Simplify 0 into 0 9.670 * [backup-simplify]: Simplify 1 into 1 9.670 * [backup-simplify]: Simplify (/ 1 1) into 1 9.670 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.670 * [taylor]: Taking taylor expansion of im in im 9.670 * [backup-simplify]: Simplify 0 into 0 9.670 * [backup-simplify]: Simplify 1 into 1 9.670 * [backup-simplify]: Simplify (/ 1 1) into 1 9.671 * [backup-simplify]: Simplify (* 1 1) into 1 9.671 * [backup-simplify]: Simplify (+ 0 1) into 1 9.671 * [backup-simplify]: Simplify (sqrt 1) into 1 9.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.673 * [backup-simplify]: Simplify (+ 0 0) into 0 9.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.673 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.673 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.673 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.673 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.673 * [taylor]: Taking taylor expansion of re in re 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify 1 into 1 9.674 * [backup-simplify]: Simplify (/ 1 1) into 1 9.674 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.674 * [taylor]: Taking taylor expansion of re in re 9.674 * [backup-simplify]: Simplify 0 into 0 9.674 * [backup-simplify]: Simplify 1 into 1 9.674 * [backup-simplify]: Simplify (/ 1 1) into 1 9.674 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.674 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.674 * [taylor]: Taking taylor expansion of im in re 9.674 * [backup-simplify]: Simplify im into im 9.674 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.674 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.674 * [taylor]: Taking taylor expansion of im in re 9.674 * [backup-simplify]: Simplify im into im 9.674 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.674 * [backup-simplify]: Simplify (* 1 1) into 1 9.675 * [backup-simplify]: Simplify (+ 1 0) into 1 9.675 * [backup-simplify]: Simplify (sqrt 1) into 1 9.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.676 * [backup-simplify]: Simplify (+ 0 0) into 0 9.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.677 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.677 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.677 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.677 * [taylor]: Taking taylor expansion of re in re 9.677 * [backup-simplify]: Simplify 0 into 0 9.677 * [backup-simplify]: Simplify 1 into 1 9.677 * [backup-simplify]: Simplify (/ 1 1) into 1 9.677 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.677 * [taylor]: Taking taylor expansion of re in re 9.677 * [backup-simplify]: Simplify 0 into 0 9.677 * [backup-simplify]: Simplify 1 into 1 9.677 * [backup-simplify]: Simplify (/ 1 1) into 1 9.677 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.678 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.678 * [taylor]: Taking taylor expansion of im in re 9.678 * [backup-simplify]: Simplify im into im 9.678 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.678 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.678 * [taylor]: Taking taylor expansion of im in re 9.678 * [backup-simplify]: Simplify im into im 9.678 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.678 * [backup-simplify]: Simplify (* 1 1) into 1 9.678 * [backup-simplify]: Simplify (+ 1 0) into 1 9.678 * [backup-simplify]: Simplify (sqrt 1) into 1 9.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.680 * [backup-simplify]: Simplify (+ 0 0) into 0 9.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.680 * [taylor]: Taking taylor expansion of 1 in im 9.680 * [backup-simplify]: Simplify 1 into 1 9.680 * [taylor]: Taking taylor expansion of 0 in im 9.681 * [backup-simplify]: Simplify 0 into 0 9.681 * [backup-simplify]: Simplify 1 into 1 9.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.684 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.684 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.685 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.685 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.685 * [taylor]: Taking taylor expansion of 1/2 in im 9.685 * [backup-simplify]: Simplify 1/2 into 1/2 9.685 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.685 * [taylor]: Taking taylor expansion of im in im 9.685 * [backup-simplify]: Simplify 0 into 0 9.685 * [backup-simplify]: Simplify 1 into 1 9.686 * [backup-simplify]: Simplify (* 1 1) into 1 9.686 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 0 into 0 9.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.692 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.692 * [backup-simplify]: Simplify (+ 0 0) into 0 9.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.693 * [taylor]: Taking taylor expansion of 0 in im 9.693 * [backup-simplify]: Simplify 0 into 0 9.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.695 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify 0 into 0 9.695 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 9.695 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 9.695 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 9.695 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.695 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.695 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.695 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.695 * [taylor]: Taking taylor expansion of -1 in im 9.695 * [backup-simplify]: Simplify -1 into -1 9.695 * [taylor]: Taking taylor expansion of re in im 9.695 * [backup-simplify]: Simplify re into re 9.696 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.696 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.696 * [taylor]: Taking taylor expansion of -1 in im 9.696 * [backup-simplify]: Simplify -1 into -1 9.696 * [taylor]: Taking taylor expansion of re in im 9.696 * [backup-simplify]: Simplify re into re 9.696 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.696 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.696 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.696 * [taylor]: Taking taylor expansion of -1 in im 9.696 * [backup-simplify]: Simplify -1 into -1 9.696 * [taylor]: Taking taylor expansion of im in im 9.696 * [backup-simplify]: Simplify 0 into 0 9.696 * [backup-simplify]: Simplify 1 into 1 9.696 * [backup-simplify]: Simplify (/ -1 1) into -1 9.696 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.696 * [taylor]: Taking taylor expansion of -1 in im 9.696 * [backup-simplify]: Simplify -1 into -1 9.696 * [taylor]: Taking taylor expansion of im in im 9.697 * [backup-simplify]: Simplify 0 into 0 9.697 * [backup-simplify]: Simplify 1 into 1 9.697 * [backup-simplify]: Simplify (/ -1 1) into -1 9.697 * [backup-simplify]: Simplify (* -1 -1) into 1 9.698 * [backup-simplify]: Simplify (+ 0 1) into 1 9.698 * [backup-simplify]: Simplify (sqrt 1) into 1 9.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.701 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.701 * [backup-simplify]: Simplify (+ 0 0) into 0 9.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.702 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.702 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.702 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.702 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.702 * [taylor]: Taking taylor expansion of -1 in re 9.702 * [backup-simplify]: Simplify -1 into -1 9.702 * [taylor]: Taking taylor expansion of re in re 9.702 * [backup-simplify]: Simplify 0 into 0 9.702 * [backup-simplify]: Simplify 1 into 1 9.702 * [backup-simplify]: Simplify (/ -1 1) into -1 9.702 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.702 * [taylor]: Taking taylor expansion of -1 in re 9.702 * [backup-simplify]: Simplify -1 into -1 9.702 * [taylor]: Taking taylor expansion of re in re 9.703 * [backup-simplify]: Simplify 0 into 0 9.703 * [backup-simplify]: Simplify 1 into 1 9.703 * [backup-simplify]: Simplify (/ -1 1) into -1 9.703 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.703 * [taylor]: Taking taylor expansion of -1 in re 9.703 * [backup-simplify]: Simplify -1 into -1 9.703 * [taylor]: Taking taylor expansion of im in re 9.703 * [backup-simplify]: Simplify im into im 9.703 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.703 * [taylor]: Taking taylor expansion of -1 in re 9.703 * [backup-simplify]: Simplify -1 into -1 9.703 * [taylor]: Taking taylor expansion of im in re 9.703 * [backup-simplify]: Simplify im into im 9.703 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.704 * [backup-simplify]: Simplify (* -1 -1) into 1 9.704 * [backup-simplify]: Simplify (+ 1 0) into 1 9.705 * [backup-simplify]: Simplify (sqrt 1) into 1 9.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.707 * [backup-simplify]: Simplify (+ 0 0) into 0 9.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.708 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.708 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.708 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.708 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.708 * [taylor]: Taking taylor expansion of -1 in re 9.708 * [backup-simplify]: Simplify -1 into -1 9.708 * [taylor]: Taking taylor expansion of re in re 9.708 * [backup-simplify]: Simplify 0 into 0 9.708 * [backup-simplify]: Simplify 1 into 1 9.709 * [backup-simplify]: Simplify (/ -1 1) into -1 9.709 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.709 * [taylor]: Taking taylor expansion of -1 in re 9.709 * [backup-simplify]: Simplify -1 into -1 9.709 * [taylor]: Taking taylor expansion of re in re 9.709 * [backup-simplify]: Simplify 0 into 0 9.709 * [backup-simplify]: Simplify 1 into 1 9.709 * [backup-simplify]: Simplify (/ -1 1) into -1 9.709 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.709 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.709 * [taylor]: Taking taylor expansion of -1 in re 9.709 * [backup-simplify]: Simplify -1 into -1 9.710 * [taylor]: Taking taylor expansion of im in re 9.710 * [backup-simplify]: Simplify im into im 9.710 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.710 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.710 * [taylor]: Taking taylor expansion of -1 in re 9.710 * [backup-simplify]: Simplify -1 into -1 9.710 * [taylor]: Taking taylor expansion of im in re 9.710 * [backup-simplify]: Simplify im into im 9.710 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.710 * [backup-simplify]: Simplify (* -1 -1) into 1 9.711 * [backup-simplify]: Simplify (+ 1 0) into 1 9.711 * [backup-simplify]: Simplify (sqrt 1) into 1 9.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.713 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.714 * [backup-simplify]: Simplify (+ 0 0) into 0 9.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.714 * [taylor]: Taking taylor expansion of 1 in im 9.715 * [backup-simplify]: Simplify 1 into 1 9.715 * [taylor]: Taking taylor expansion of 0 in im 9.715 * [backup-simplify]: Simplify 0 into 0 9.715 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.718 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.718 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.719 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 9.719 * [taylor]: Taking taylor expansion of 1/2 in im 9.720 * [backup-simplify]: Simplify 1/2 into 1/2 9.720 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.720 * [taylor]: Taking taylor expansion of im in im 9.720 * [backup-simplify]: Simplify 0 into 0 9.720 * [backup-simplify]: Simplify 1 into 1 9.720 * [backup-simplify]: Simplify (* 1 1) into 1 9.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify 0 into 0 9.722 * [backup-simplify]: Simplify 0 into 0 9.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.725 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.725 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.725 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.726 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.726 * [backup-simplify]: Simplify (+ 0 0) into 0 9.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.727 * [taylor]: Taking taylor expansion of 0 in im 9.727 * [backup-simplify]: Simplify 0 into 0 9.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify 0 into 0 9.729 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 9.729 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 9.729 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 9.729 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 9.729 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 9.729 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.729 * [taylor]: Taking taylor expansion of 2.0 in im 9.729 * [backup-simplify]: Simplify 2.0 into 2.0 9.730 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.730 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 9.730 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 9.730 * [taylor]: Taking taylor expansion of (hypot re im) in im 9.730 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.730 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 9.731 * [taylor]: Taking taylor expansion of (* re re) in im 9.731 * [taylor]: Taking taylor expansion of re in im 9.731 * [backup-simplify]: Simplify re into re 9.731 * [taylor]: Taking taylor expansion of re in im 9.731 * [backup-simplify]: Simplify re into re 9.731 * [taylor]: Taking taylor expansion of (* im im) in im 9.731 * [taylor]: Taking taylor expansion of im in im 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [taylor]: Taking taylor expansion of im in im 9.731 * [backup-simplify]: Simplify 0 into 0 9.731 * [backup-simplify]: Simplify 1 into 1 9.731 * [backup-simplify]: Simplify (* re re) into (pow re 2) 9.731 * [backup-simplify]: Simplify (* 0 0) into 0 9.731 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 9.731 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 9.731 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 9.732 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.732 * [backup-simplify]: Simplify (+ 0 0) into 0 9.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 9.733 * [taylor]: Taking taylor expansion of re in im 9.733 * [backup-simplify]: Simplify re into re 9.733 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 9.733 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 9.733 * [backup-simplify]: Simplify (+ 0 0) into 0 9.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 9.733 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 9.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.733 * [taylor]: Taking taylor expansion of 2.0 in re 9.733 * [backup-simplify]: Simplify 2.0 into 2.0 9.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.735 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 9.735 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 9.735 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.735 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.735 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.735 * [taylor]: Taking taylor expansion of (* re re) in re 9.735 * [taylor]: Taking taylor expansion of re in re 9.735 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify 1 into 1 9.735 * [taylor]: Taking taylor expansion of re in re 9.735 * [backup-simplify]: Simplify 0 into 0 9.735 * [backup-simplify]: Simplify 1 into 1 9.735 * [taylor]: Taking taylor expansion of (* im im) in re 9.735 * [taylor]: Taking taylor expansion of im in re 9.735 * [backup-simplify]: Simplify im into im 9.735 * [taylor]: Taking taylor expansion of im in re 9.735 * [backup-simplify]: Simplify im into im 9.735 * [backup-simplify]: Simplify (* 0 0) into 0 9.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.735 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.736 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.736 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.736 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.737 * [backup-simplify]: Simplify (+ 0 0) into 0 9.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.737 * [taylor]: Taking taylor expansion of re in re 9.737 * [backup-simplify]: Simplify 0 into 0 9.737 * [backup-simplify]: Simplify 1 into 1 9.737 * [backup-simplify]: Simplify (+ im 0) into im 9.737 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 9.737 * [backup-simplify]: Simplify (+ 0 1) into 1 9.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 9.738 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 9.738 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.738 * [taylor]: Taking taylor expansion of 2.0 in re 9.738 * [backup-simplify]: Simplify 2.0 into 2.0 9.738 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.739 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 9.739 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 9.739 * [taylor]: Taking taylor expansion of (hypot re im) in re 9.739 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 9.739 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 9.739 * [taylor]: Taking taylor expansion of (* re re) in re 9.739 * [taylor]: Taking taylor expansion of re in re 9.739 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify 1 into 1 9.739 * [taylor]: Taking taylor expansion of re in re 9.739 * [backup-simplify]: Simplify 0 into 0 9.739 * [backup-simplify]: Simplify 1 into 1 9.739 * [taylor]: Taking taylor expansion of (* im im) in re 9.739 * [taylor]: Taking taylor expansion of im in re 9.739 * [backup-simplify]: Simplify im into im 9.739 * [taylor]: Taking taylor expansion of im in re 9.739 * [backup-simplify]: Simplify im into im 9.740 * [backup-simplify]: Simplify (* 0 0) into 0 9.740 * [backup-simplify]: Simplify (* im im) into (pow im 2) 9.740 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 9.740 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 9.740 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 9.741 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 9.741 * [backup-simplify]: Simplify (+ 0 0) into 0 9.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 9.741 * [taylor]: Taking taylor expansion of re in re 9.741 * [backup-simplify]: Simplify 0 into 0 9.741 * [backup-simplify]: Simplify 1 into 1 9.741 * [backup-simplify]: Simplify (+ im 0) into im 9.741 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 9.742 * [backup-simplify]: Simplify (+ 0 1) into 1 9.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 9.742 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 9.742 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 9.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.742 * [taylor]: Taking taylor expansion of 2.0 in im 9.742 * [backup-simplify]: Simplify 2.0 into 2.0 9.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.744 * [taylor]: Taking taylor expansion of (sqrt im) in im 9.744 * [taylor]: Taking taylor expansion of im in im 9.744 * [backup-simplify]: Simplify 0 into 0 9.744 * [backup-simplify]: Simplify 1 into 1 9.744 * [backup-simplify]: Simplify (sqrt 0) into 0 9.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.746 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.746 * [backup-simplify]: Simplify 0 into 0 9.747 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 9.747 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 9.747 * [taylor]: Taking taylor expansion of 1/2 in im 9.747 * [backup-simplify]: Simplify 1/2 into 1/2 9.747 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 9.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.747 * [taylor]: Taking taylor expansion of 2.0 in im 9.747 * [backup-simplify]: Simplify 2.0 into 2.0 9.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 9.748 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.748 * [taylor]: Taking taylor expansion of im in im 9.748 * [backup-simplify]: Simplify 0 into 0 9.749 * [backup-simplify]: Simplify 1 into 1 9.749 * [backup-simplify]: Simplify (/ 1 1) into 1 9.749 * [backup-simplify]: Simplify (sqrt 0) into 0 9.751 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.753 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.753 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.757 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.758 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.760 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.762 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 9.763 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 9.764 * [backup-simplify]: Simplify (+ 1 0) into 1 9.764 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 9.765 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 9.765 * [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)))) 9.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.767 * [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))))) 9.767 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 9.767 * [taylor]: Taking taylor expansion of 1/8 in im 9.767 * [backup-simplify]: Simplify 1/8 into 1/8 9.767 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 9.767 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.767 * [taylor]: Taking taylor expansion of 2.0 in im 9.767 * [backup-simplify]: Simplify 2.0 into 2.0 9.768 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 9.774 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 9.774 * [taylor]: Taking taylor expansion of (pow im 3) in im 9.774 * [taylor]: Taking taylor expansion of im in im 9.774 * [backup-simplify]: Simplify 0 into 0 9.774 * [backup-simplify]: Simplify 1 into 1 9.775 * [backup-simplify]: Simplify (* 1 1) into 1 9.775 * [backup-simplify]: Simplify (* 1 1) into 1 9.776 * [backup-simplify]: Simplify (/ 1 1) into 1 9.776 * [backup-simplify]: Simplify (sqrt 0) into 0 9.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.783 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.784 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.787 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 9.789 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.789 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.794 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 9.796 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.800 * [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))))))) 9.801 * [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))))) 9.801 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 9.801 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 9.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.801 * [taylor]: Taking taylor expansion of 2.0 in im 9.801 * [backup-simplify]: Simplify 2.0 into 2.0 9.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.802 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 9.802 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 9.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.802 * [taylor]: Taking taylor expansion of re in im 9.802 * [backup-simplify]: Simplify re into re 9.802 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 9.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 9.802 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 9.802 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.802 * [taylor]: Taking taylor expansion of re in im 9.802 * [backup-simplify]: Simplify re into re 9.802 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.803 * [taylor]: Taking taylor expansion of re in im 9.803 * [backup-simplify]: Simplify re into re 9.803 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.803 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 9.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.803 * [taylor]: Taking taylor expansion of im in im 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.803 * [backup-simplify]: Simplify (/ 1 1) into 1 9.803 * [taylor]: Taking taylor expansion of (/ 1 im) in im 9.803 * [taylor]: Taking taylor expansion of im in im 9.803 * [backup-simplify]: Simplify 0 into 0 9.803 * [backup-simplify]: Simplify 1 into 1 9.804 * [backup-simplify]: Simplify (/ 1 1) into 1 9.804 * [backup-simplify]: Simplify (* 1 1) into 1 9.804 * [backup-simplify]: Simplify (+ 0 1) into 1 9.805 * [backup-simplify]: Simplify (sqrt 1) into 1 9.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.807 * [backup-simplify]: Simplify (+ 0 0) into 0 9.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.808 * [backup-simplify]: Simplify (+ 0 1) into 1 9.809 * [backup-simplify]: Simplify (sqrt 0) into 0 9.810 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.810 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 9.810 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.810 * [taylor]: Taking taylor expansion of 2.0 in re 9.810 * [backup-simplify]: Simplify 2.0 into 2.0 9.811 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 9.811 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 9.811 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.811 * [taylor]: Taking taylor expansion of re in re 9.811 * [backup-simplify]: Simplify 0 into 0 9.811 * [backup-simplify]: Simplify 1 into 1 9.812 * [backup-simplify]: Simplify (/ 1 1) into 1 9.812 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.812 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.812 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.812 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.812 * [taylor]: Taking taylor expansion of re in re 9.812 * [backup-simplify]: Simplify 0 into 0 9.812 * [backup-simplify]: Simplify 1 into 1 9.812 * [backup-simplify]: Simplify (/ 1 1) into 1 9.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.812 * [taylor]: Taking taylor expansion of re in re 9.812 * [backup-simplify]: Simplify 0 into 0 9.813 * [backup-simplify]: Simplify 1 into 1 9.813 * [backup-simplify]: Simplify (/ 1 1) into 1 9.813 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.813 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.813 * [taylor]: Taking taylor expansion of im in re 9.813 * [backup-simplify]: Simplify im into im 9.813 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.813 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.813 * [taylor]: Taking taylor expansion of im in re 9.813 * [backup-simplify]: Simplify im into im 9.813 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.814 * [backup-simplify]: Simplify (* 1 1) into 1 9.814 * [backup-simplify]: Simplify (+ 1 0) into 1 9.814 * [backup-simplify]: Simplify (sqrt 1) into 1 9.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.817 * [backup-simplify]: Simplify (+ 0 0) into 0 9.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.818 * [backup-simplify]: Simplify (+ 1 1) into 2 9.819 * [backup-simplify]: Simplify (sqrt 0) into 0 9.820 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 9.820 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 9.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.820 * [taylor]: Taking taylor expansion of 2.0 in re 9.820 * [backup-simplify]: Simplify 2.0 into 2.0 9.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 9.821 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 9.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.821 * [taylor]: Taking taylor expansion of re in re 9.821 * [backup-simplify]: Simplify 0 into 0 9.821 * [backup-simplify]: Simplify 1 into 1 9.822 * [backup-simplify]: Simplify (/ 1 1) into 1 9.822 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 9.822 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 9.822 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 9.822 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 9.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.822 * [taylor]: Taking taylor expansion of re in re 9.822 * [backup-simplify]: Simplify 0 into 0 9.822 * [backup-simplify]: Simplify 1 into 1 9.822 * [backup-simplify]: Simplify (/ 1 1) into 1 9.822 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.823 * [taylor]: Taking taylor expansion of re in re 9.823 * [backup-simplify]: Simplify 0 into 0 9.823 * [backup-simplify]: Simplify 1 into 1 9.823 * [backup-simplify]: Simplify (/ 1 1) into 1 9.823 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 9.823 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.823 * [taylor]: Taking taylor expansion of im in re 9.823 * [backup-simplify]: Simplify im into im 9.823 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.823 * [taylor]: Taking taylor expansion of (/ 1 im) in re 9.823 * [taylor]: Taking taylor expansion of im in re 9.823 * [backup-simplify]: Simplify im into im 9.823 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 9.824 * [backup-simplify]: Simplify (* 1 1) into 1 9.824 * [backup-simplify]: Simplify (+ 1 0) into 1 9.825 * [backup-simplify]: Simplify (sqrt 1) into 1 9.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.827 * [backup-simplify]: Simplify (+ 0 0) into 0 9.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.828 * [backup-simplify]: Simplify (+ 1 1) into 2 9.829 * [backup-simplify]: Simplify (sqrt 0) into 0 9.830 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 9.830 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.831 * [taylor]: Taking taylor expansion of 0 in im 9.831 * [backup-simplify]: Simplify 0 into 0 9.833 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 9.833 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 9.833 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 9.833 * [taylor]: Taking taylor expansion of +nan.0 in im 9.833 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.833 * [taylor]: Taking taylor expansion of 2.0 in im 9.833 * [backup-simplify]: Simplify 2.0 into 2.0 9.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.834 * [backup-simplify]: Simplify 0 into 0 9.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.834 * [backup-simplify]: Simplify (+ 0 0) into 0 9.836 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.836 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.838 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 9.838 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 9.838 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 9.838 * [taylor]: Taking taylor expansion of +nan.0 in im 9.838 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.838 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.838 * [taylor]: Taking taylor expansion of 2.0 in im 9.838 * [backup-simplify]: Simplify 2.0 into 2.0 9.838 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.839 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.840 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.841 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.841 * [backup-simplify]: Simplify 0 into 0 9.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.843 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 9.843 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.844 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.844 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 9.846 * [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)) 9.846 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.847 * [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)))))) 9.847 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 9.847 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 9.847 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 9.847 * [taylor]: Taking taylor expansion of +nan.0 in im 9.847 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.847 * [taylor]: Taking taylor expansion of 2.0 in im 9.847 * [backup-simplify]: Simplify 2.0 into 2.0 9.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 9.848 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 9.848 * [taylor]: Taking taylor expansion of +nan.0 in im 9.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.848 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 9.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.848 * [taylor]: Taking taylor expansion of 2.0 in im 9.848 * [backup-simplify]: Simplify 2.0 into 2.0 9.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.849 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.849 * [taylor]: Taking taylor expansion of im in im 9.849 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify 1 into 1 9.849 * [backup-simplify]: Simplify (* 1 1) into 1 9.850 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.851 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.851 * [backup-simplify]: Simplify (- 0) into 0 9.852 * [backup-simplify]: Simplify (+ 0 0) into 0 9.852 * [backup-simplify]: Simplify (- 0) into 0 9.852 * [backup-simplify]: Simplify 0 into 0 9.853 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.854 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.855 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.855 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.855 * [backup-simplify]: Simplify (- 0) into 0 9.855 * [backup-simplify]: Simplify 0 into 0 9.855 * [backup-simplify]: Simplify 0 into 0 9.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 9.858 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 9.858 * [backup-simplify]: Simplify (+ 0 0) into 0 9.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.859 * [backup-simplify]: Simplify (+ 0 0) into 0 9.859 * [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))) 9.860 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.861 * [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)))))) 9.861 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 9.861 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 9.861 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 9.861 * [taylor]: Taking taylor expansion of +nan.0 in im 9.861 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.861 * [taylor]: Taking taylor expansion of 2.0 in im 9.861 * [backup-simplify]: Simplify 2.0 into 2.0 9.862 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.862 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.862 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 9.862 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 9.862 * [taylor]: Taking taylor expansion of +nan.0 in im 9.862 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.862 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 9.862 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.862 * [taylor]: Taking taylor expansion of 2.0 in im 9.862 * [backup-simplify]: Simplify 2.0 into 2.0 9.863 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.863 * [taylor]: Taking taylor expansion of im in im 9.863 * [backup-simplify]: Simplify 0 into 0 9.863 * [backup-simplify]: Simplify 1 into 1 9.863 * [backup-simplify]: Simplify (* 1 1) into 1 9.864 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.865 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.866 * [backup-simplify]: Simplify (- 0) into 0 9.866 * [backup-simplify]: Simplify (+ 0 0) into 0 9.866 * [backup-simplify]: Simplify (- 0) into 0 9.866 * [backup-simplify]: Simplify 0 into 0 9.867 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 9.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.869 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.869 * [backup-simplify]: Simplify (- 0) into 0 9.870 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 9.872 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 9.873 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 9.876 * [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)))))))) 9.876 * [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)))) 9.876 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 9.877 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 9.877 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.877 * [taylor]: Taking taylor expansion of 2.0 in im 9.877 * [backup-simplify]: Simplify 2.0 into 2.0 9.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.877 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 9.877 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 9.877 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 9.877 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.877 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 9.877 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 9.877 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.877 * [taylor]: Taking taylor expansion of -1 in im 9.877 * [backup-simplify]: Simplify -1 into -1 9.877 * [taylor]: Taking taylor expansion of re in im 9.877 * [backup-simplify]: Simplify re into re 9.877 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.878 * [taylor]: Taking taylor expansion of (/ -1 re) in im 9.878 * [taylor]: Taking taylor expansion of -1 in im 9.878 * [backup-simplify]: Simplify -1 into -1 9.878 * [taylor]: Taking taylor expansion of re in im 9.878 * [backup-simplify]: Simplify re into re 9.878 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 9.878 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 9.878 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.878 * [taylor]: Taking taylor expansion of -1 in im 9.878 * [backup-simplify]: Simplify -1 into -1 9.878 * [taylor]: Taking taylor expansion of im in im 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (/ -1 1) into -1 9.878 * [taylor]: Taking taylor expansion of (/ -1 im) in im 9.878 * [taylor]: Taking taylor expansion of -1 in im 9.878 * [backup-simplify]: Simplify -1 into -1 9.878 * [taylor]: Taking taylor expansion of im in im 9.878 * [backup-simplify]: Simplify 0 into 0 9.878 * [backup-simplify]: Simplify 1 into 1 9.878 * [backup-simplify]: Simplify (/ -1 1) into -1 9.879 * [backup-simplify]: Simplify (* -1 -1) into 1 9.879 * [backup-simplify]: Simplify (+ 0 1) into 1 9.879 * [backup-simplify]: Simplify (sqrt 1) into 1 9.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.881 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.881 * [backup-simplify]: Simplify (+ 0 0) into 0 9.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.882 * [taylor]: Taking taylor expansion of (/ 1 re) in im 9.882 * [taylor]: Taking taylor expansion of re in im 9.882 * [backup-simplify]: Simplify re into re 9.882 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 9.882 * [backup-simplify]: Simplify (+ 1 0) into 1 9.883 * [backup-simplify]: Simplify (sqrt 0) into 0 9.890 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.890 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 9.890 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.890 * [taylor]: Taking taylor expansion of 2.0 in re 9.890 * [backup-simplify]: Simplify 2.0 into 2.0 9.891 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.891 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 9.891 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 9.891 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.892 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.892 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.892 * [taylor]: Taking taylor expansion of -1 in re 9.892 * [backup-simplify]: Simplify -1 into -1 9.892 * [taylor]: Taking taylor expansion of re in re 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [backup-simplify]: Simplify (/ -1 1) into -1 9.892 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.892 * [taylor]: Taking taylor expansion of -1 in re 9.892 * [backup-simplify]: Simplify -1 into -1 9.892 * [taylor]: Taking taylor expansion of re in re 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.893 * [backup-simplify]: Simplify (/ -1 1) into -1 9.893 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.893 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.893 * [taylor]: Taking taylor expansion of -1 in re 9.893 * [backup-simplify]: Simplify -1 into -1 9.893 * [taylor]: Taking taylor expansion of im in re 9.893 * [backup-simplify]: Simplify im into im 9.893 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.893 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.893 * [taylor]: Taking taylor expansion of -1 in re 9.893 * [backup-simplify]: Simplify -1 into -1 9.893 * [taylor]: Taking taylor expansion of im in re 9.893 * [backup-simplify]: Simplify im into im 9.894 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.894 * [backup-simplify]: Simplify (* -1 -1) into 1 9.894 * [backup-simplify]: Simplify (+ 1 0) into 1 9.895 * [backup-simplify]: Simplify (sqrt 1) into 1 9.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.897 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.897 * [backup-simplify]: Simplify (+ 0 0) into 0 9.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.898 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.898 * [taylor]: Taking taylor expansion of re in re 9.898 * [backup-simplify]: Simplify 0 into 0 9.898 * [backup-simplify]: Simplify 1 into 1 9.899 * [backup-simplify]: Simplify (/ 1 1) into 1 9.899 * [backup-simplify]: Simplify (- 1) into -1 9.899 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.900 * [backup-simplify]: Simplify (- 0) into 0 9.901 * [backup-simplify]: Simplify (+ 0 0) into 0 9.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.904 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.904 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.904 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.905 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.907 * [backup-simplify]: Simplify (- 0) into 0 9.907 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.907 * [backup-simplify]: Simplify (sqrt 0) into 0 9.908 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 9.908 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 9.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 9.908 * [taylor]: Taking taylor expansion of 2.0 in re 9.908 * [backup-simplify]: Simplify 2.0 into 2.0 9.908 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.909 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 9.909 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 9.909 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 9.909 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 9.909 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 9.909 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 9.909 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.909 * [taylor]: Taking taylor expansion of -1 in re 9.910 * [backup-simplify]: Simplify -1 into -1 9.910 * [taylor]: Taking taylor expansion of re in re 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.910 * [backup-simplify]: Simplify (/ -1 1) into -1 9.910 * [taylor]: Taking taylor expansion of (/ -1 re) in re 9.910 * [taylor]: Taking taylor expansion of -1 in re 9.910 * [backup-simplify]: Simplify -1 into -1 9.910 * [taylor]: Taking taylor expansion of re in re 9.910 * [backup-simplify]: Simplify 0 into 0 9.910 * [backup-simplify]: Simplify 1 into 1 9.911 * [backup-simplify]: Simplify (/ -1 1) into -1 9.911 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 9.911 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.911 * [taylor]: Taking taylor expansion of -1 in re 9.911 * [backup-simplify]: Simplify -1 into -1 9.911 * [taylor]: Taking taylor expansion of im in re 9.911 * [backup-simplify]: Simplify im into im 9.911 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.911 * [taylor]: Taking taylor expansion of (/ -1 im) in re 9.911 * [taylor]: Taking taylor expansion of -1 in re 9.911 * [backup-simplify]: Simplify -1 into -1 9.911 * [taylor]: Taking taylor expansion of im in re 9.911 * [backup-simplify]: Simplify im into im 9.911 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 9.912 * [backup-simplify]: Simplify (* -1 -1) into 1 9.912 * [backup-simplify]: Simplify (+ 1 0) into 1 9.913 * [backup-simplify]: Simplify (sqrt 1) into 1 9.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.915 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 9.915 * [backup-simplify]: Simplify (+ 0 0) into 0 9.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 9.916 * [taylor]: Taking taylor expansion of (/ 1 re) in re 9.916 * [taylor]: Taking taylor expansion of re in re 9.916 * [backup-simplify]: Simplify 0 into 0 9.916 * [backup-simplify]: Simplify 1 into 1 9.916 * [backup-simplify]: Simplify (/ 1 1) into 1 9.917 * [backup-simplify]: Simplify (- 1) into -1 9.917 * [backup-simplify]: Simplify (+ 1 -1) into 0 9.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.918 * [backup-simplify]: Simplify (- 0) into 0 9.919 * [backup-simplify]: Simplify (+ 0 0) into 0 9.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 9.922 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 9.922 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 9.923 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.924 * [backup-simplify]: Simplify (- 0) into 0 9.925 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 9.925 * [backup-simplify]: Simplify (sqrt 0) into 0 9.926 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 9.926 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 9.926 * [taylor]: Taking taylor expansion of 0 in im 9.926 * [backup-simplify]: Simplify 0 into 0 9.927 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 9.927 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 9.927 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 9.927 * [taylor]: Taking taylor expansion of +nan.0 in im 9.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.927 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 9.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.927 * [taylor]: Taking taylor expansion of 2.0 in im 9.927 * [backup-simplify]: Simplify 2.0 into 2.0 9.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 9.929 * [taylor]: Taking taylor expansion of im in im 9.929 * [backup-simplify]: Simplify 0 into 0 9.929 * [backup-simplify]: Simplify 1 into 1 9.929 * [backup-simplify]: Simplify (* 1 1) into 1 9.930 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.933 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 9.933 * [backup-simplify]: Simplify (- 0) into 0 9.933 * [backup-simplify]: Simplify 0 into 0 9.933 * [backup-simplify]: Simplify 0 into 0 9.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.936 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 9.936 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.937 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 9.937 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 9.938 * [backup-simplify]: Simplify (+ 0 0) into 0 9.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 9.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.940 * [backup-simplify]: Simplify (- 0) into 0 9.940 * [backup-simplify]: Simplify (+ 0 0) into 0 9.941 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 9.942 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.943 * [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)))) 9.943 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 9.943 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 9.943 * [taylor]: Taking taylor expansion of +nan.0 in im 9.943 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.943 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 9.943 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.943 * [taylor]: Taking taylor expansion of 2.0 in im 9.943 * [backup-simplify]: Simplify 2.0 into 2.0 9.944 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.945 * [taylor]: Taking taylor expansion of (pow im 4) in im 9.945 * [taylor]: Taking taylor expansion of im in im 9.945 * [backup-simplify]: Simplify 0 into 0 9.945 * [backup-simplify]: Simplify 1 into 1 9.945 * [backup-simplify]: Simplify (* 1 1) into 1 9.945 * [backup-simplify]: Simplify (* 1 1) into 1 9.946 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.947 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.956 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 9.956 * [backup-simplify]: Simplify (- 0) into 0 9.956 * [backup-simplify]: Simplify 0 into 0 9.957 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.959 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 9.959 * [backup-simplify]: Simplify (- 0) into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.959 * [backup-simplify]: Simplify 0 into 0 9.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.961 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 9.961 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 9.961 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 9.961 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 9.962 * [backup-simplify]: Simplify (+ 0 0) into 0 9.962 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 9.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.963 * [backup-simplify]: Simplify (- 0) into 0 9.963 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 9.964 * [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))))) 9.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.965 * [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)))))) 9.965 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 9.965 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 9.965 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 9.965 * [taylor]: Taking taylor expansion of +nan.0 in im 9.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.965 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 9.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.965 * [taylor]: Taking taylor expansion of 2.0 in im 9.965 * [backup-simplify]: Simplify 2.0 into 2.0 9.966 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.966 * [taylor]: Taking taylor expansion of (pow im 4) in im 9.966 * [taylor]: Taking taylor expansion of im in im 9.966 * [backup-simplify]: Simplify 0 into 0 9.966 * [backup-simplify]: Simplify 1 into 1 9.966 * [backup-simplify]: Simplify (* 1 1) into 1 9.967 * [backup-simplify]: Simplify (* 1 1) into 1 9.967 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.967 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 9.967 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 9.967 * [taylor]: Taking taylor expansion of +nan.0 in im 9.967 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 9.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 9.967 * [taylor]: Taking taylor expansion of 2.0 in im 9.967 * [backup-simplify]: Simplify 2.0 into 2.0 9.968 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 9.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 9.968 * [taylor]: Taking taylor expansion of (pow im 6) in im 9.968 * [taylor]: Taking taylor expansion of im in im 9.968 * [backup-simplify]: Simplify 0 into 0 9.968 * [backup-simplify]: Simplify 1 into 1 9.968 * [backup-simplify]: Simplify (* 1 1) into 1 9.969 * [backup-simplify]: Simplify (* 1 1) into 1 9.969 * [backup-simplify]: Simplify (* 1 1) into 1 9.969 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 9.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.976 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 9.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 9.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.980 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 9.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.999 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 9.999 * [backup-simplify]: Simplify (- 0) into 0 9.999 * [backup-simplify]: Simplify (+ 0 0) into 0 10.000 * [backup-simplify]: Simplify (- 0) into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 10.000 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 10.000 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 10.000 * [taylor]: Taking taylor expansion of (hypot re im) in im 10.000 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.000 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 10.000 * [taylor]: Taking taylor expansion of (* re re) in im 10.000 * [taylor]: Taking taylor expansion of re in im 10.000 * [backup-simplify]: Simplify re into re 10.000 * [taylor]: Taking taylor expansion of re in im 10.000 * [backup-simplify]: Simplify re into re 10.000 * [taylor]: Taking taylor expansion of (* im im) in im 10.000 * [taylor]: Taking taylor expansion of im in im 10.000 * [backup-simplify]: Simplify 0 into 0 10.000 * [backup-simplify]: Simplify 1 into 1 10.001 * [taylor]: Taking taylor expansion of im in im 10.001 * [backup-simplify]: Simplify 0 into 0 10.001 * [backup-simplify]: Simplify 1 into 1 10.001 * [backup-simplify]: Simplify (* re re) into (pow re 2) 10.001 * [backup-simplify]: Simplify (* 0 0) into 0 10.001 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 10.001 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 10.001 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 10.002 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.002 * [backup-simplify]: Simplify (+ 0 0) into 0 10.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 10.003 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.003 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.003 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.003 * [taylor]: Taking taylor expansion of (* re re) in re 10.003 * [taylor]: Taking taylor expansion of re in re 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of re in re 10.003 * [backup-simplify]: Simplify 0 into 0 10.003 * [backup-simplify]: Simplify 1 into 1 10.003 * [taylor]: Taking taylor expansion of (* im im) in re 10.003 * [taylor]: Taking taylor expansion of im in re 10.003 * [backup-simplify]: Simplify im into im 10.003 * [taylor]: Taking taylor expansion of im in re 10.003 * [backup-simplify]: Simplify im into im 10.003 * [backup-simplify]: Simplify (* 0 0) into 0 10.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.004 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.004 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.004 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.005 * [backup-simplify]: Simplify (+ 0 0) into 0 10.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.005 * [taylor]: Taking taylor expansion of (hypot re im) in re 10.005 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 10.005 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 10.005 * [taylor]: Taking taylor expansion of (* re re) in re 10.005 * [taylor]: Taking taylor expansion of re in re 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.005 * [taylor]: Taking taylor expansion of re in re 10.005 * [backup-simplify]: Simplify 0 into 0 10.005 * [backup-simplify]: Simplify 1 into 1 10.005 * [taylor]: Taking taylor expansion of (* im im) in re 10.005 * [taylor]: Taking taylor expansion of im in re 10.005 * [backup-simplify]: Simplify im into im 10.005 * [taylor]: Taking taylor expansion of im in re 10.005 * [backup-simplify]: Simplify im into im 10.006 * [backup-simplify]: Simplify (* 0 0) into 0 10.006 * [backup-simplify]: Simplify (* im im) into (pow im 2) 10.006 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 10.006 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 10.006 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 10.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 10.007 * [backup-simplify]: Simplify (+ 0 0) into 0 10.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 10.007 * [taylor]: Taking taylor expansion of im in im 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [taylor]: Taking taylor expansion of 0 in im 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 0 into 0 10.007 * [backup-simplify]: Simplify 1 into 1 10.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 10.009 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 10.009 * [backup-simplify]: Simplify (+ 1 0) into 1 10.010 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 10.010 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 10.010 * [taylor]: Taking taylor expansion of 1/2 in im 10.010 * [backup-simplify]: Simplify 1/2 into 1/2 10.010 * [taylor]: Taking taylor expansion of im in im 10.010 * [backup-simplify]: Simplify 0 into 0 10.010 * [backup-simplify]: Simplify 1 into 1 10.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.012 * [backup-simplify]: Simplify 0 into 0 10.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 10.020 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 10.020 * [backup-simplify]: Simplify (+ 0 0) into 0 10.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 10.020 * [taylor]: Taking taylor expansion of 0 in im 10.020 * [backup-simplify]: Simplify 0 into 0 10.020 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify 0 into 0 10.021 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 10.022 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 10.022 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 10.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 10.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 10.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 10.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.022 * [taylor]: Taking taylor expansion of re in im 10.022 * [backup-simplify]: Simplify re into re 10.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.022 * [taylor]: Taking taylor expansion of (/ 1 re) in im 10.022 * [taylor]: Taking taylor expansion of re in im 10.022 * [backup-simplify]: Simplify re into re 10.022 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 10.022 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 10.022 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.022 * [taylor]: Taking taylor expansion of im in im 10.022 * [backup-simplify]: Simplify 0 into 0 10.022 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [taylor]: Taking taylor expansion of (/ 1 im) in im 10.023 * [taylor]: Taking taylor expansion of im in im 10.023 * [backup-simplify]: Simplify 0 into 0 10.023 * [backup-simplify]: Simplify 1 into 1 10.023 * [backup-simplify]: Simplify (/ 1 1) into 1 10.023 * [backup-simplify]: Simplify (* 1 1) into 1 10.024 * [backup-simplify]: Simplify (+ 0 1) into 1 10.024 * [backup-simplify]: Simplify (sqrt 1) into 1 10.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.027 * [backup-simplify]: Simplify (+ 0 0) into 0 10.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.027 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.028 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.028 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.028 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.028 * [taylor]: Taking taylor expansion of re in re 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 1 into 1 10.028 * [backup-simplify]: Simplify (/ 1 1) into 1 10.028 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.028 * [taylor]: Taking taylor expansion of re in re 10.028 * [backup-simplify]: Simplify 0 into 0 10.028 * [backup-simplify]: Simplify 1 into 1 10.029 * [backup-simplify]: Simplify (/ 1 1) into 1 10.029 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.029 * [taylor]: Taking taylor expansion of im in re 10.029 * [backup-simplify]: Simplify im into im 10.029 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.029 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.029 * [taylor]: Taking taylor expansion of im in re 10.029 * [backup-simplify]: Simplify im into im 10.029 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.029 * [backup-simplify]: Simplify (* 1 1) into 1 10.030 * [backup-simplify]: Simplify (+ 1 0) into 1 10.030 * [backup-simplify]: Simplify (sqrt 1) into 1 10.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.033 * [backup-simplify]: Simplify (+ 0 0) into 0 10.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.034 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 10.034 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 10.034 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 10.034 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 10.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.034 * [taylor]: Taking taylor expansion of re in re 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.034 * [backup-simplify]: Simplify (/ 1 1) into 1 10.034 * [taylor]: Taking taylor expansion of (/ 1 re) in re 10.034 * [taylor]: Taking taylor expansion of re in re 10.034 * [backup-simplify]: Simplify 0 into 0 10.034 * [backup-simplify]: Simplify 1 into 1 10.035 * [backup-simplify]: Simplify (/ 1 1) into 1 10.035 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 10.035 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.035 * [taylor]: Taking taylor expansion of im in re 10.035 * [backup-simplify]: Simplify im into im 10.035 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.035 * [taylor]: Taking taylor expansion of (/ 1 im) in re 10.035 * [taylor]: Taking taylor expansion of im in re 10.035 * [backup-simplify]: Simplify im into im 10.035 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 10.035 * [backup-simplify]: Simplify (* 1 1) into 1 10.036 * [backup-simplify]: Simplify (+ 1 0) into 1 10.036 * [backup-simplify]: Simplify (sqrt 1) into 1 10.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.039 * [backup-simplify]: Simplify (+ 0 0) into 0 10.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.040 * [taylor]: Taking taylor expansion of 1 in im 10.040 * [backup-simplify]: Simplify 1 into 1 10.040 * [taylor]: Taking taylor expansion of 0 in im 10.040 * [backup-simplify]: Simplify 0 into 0 10.040 * [backup-simplify]: Simplify 1 into 1 10.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.042 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 10.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.044 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.044 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.044 * [taylor]: Taking taylor expansion of 1/2 in im 10.044 * [backup-simplify]: Simplify 1/2 into 1/2 10.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.044 * [taylor]: Taking taylor expansion of im in im 10.044 * [backup-simplify]: Simplify 0 into 0 10.044 * [backup-simplify]: Simplify 1 into 1 10.044 * [backup-simplify]: Simplify (* 1 1) into 1 10.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 0 into 0 10.047 * [backup-simplify]: Simplify 0 into 0 10.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 10.050 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 10.051 * [backup-simplify]: Simplify (+ 0 0) into 0 10.051 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.051 * [taylor]: Taking taylor expansion of 0 in im 10.051 * [backup-simplify]: Simplify 0 into 0 10.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.053 * [backup-simplify]: Simplify 0 into 0 10.054 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 10.054 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 10.054 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 10.054 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 10.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 10.054 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 10.054 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.054 * [taylor]: Taking taylor expansion of -1 in im 10.054 * [backup-simplify]: Simplify -1 into -1 10.054 * [taylor]: Taking taylor expansion of re in im 10.054 * [backup-simplify]: Simplify re into re 10.054 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.054 * [taylor]: Taking taylor expansion of (/ -1 re) in im 10.054 * [taylor]: Taking taylor expansion of -1 in im 10.054 * [backup-simplify]: Simplify -1 into -1 10.054 * [taylor]: Taking taylor expansion of re in im 10.054 * [backup-simplify]: Simplify re into re 10.054 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 10.054 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 10.054 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.054 * [taylor]: Taking taylor expansion of -1 in im 10.054 * [backup-simplify]: Simplify -1 into -1 10.054 * [taylor]: Taking taylor expansion of im in im 10.054 * [backup-simplify]: Simplify 0 into 0 10.054 * [backup-simplify]: Simplify 1 into 1 10.055 * [backup-simplify]: Simplify (/ -1 1) into -1 10.055 * [taylor]: Taking taylor expansion of (/ -1 im) in im 10.055 * [taylor]: Taking taylor expansion of -1 in im 10.055 * [backup-simplify]: Simplify -1 into -1 10.055 * [taylor]: Taking taylor expansion of im in im 10.055 * [backup-simplify]: Simplify 0 into 0 10.055 * [backup-simplify]: Simplify 1 into 1 10.056 * [backup-simplify]: Simplify (/ -1 1) into -1 10.056 * [backup-simplify]: Simplify (* -1 -1) into 1 10.056 * [backup-simplify]: Simplify (+ 0 1) into 1 10.057 * [backup-simplify]: Simplify (sqrt 1) into 1 10.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.060 * [backup-simplify]: Simplify (+ 0 0) into 0 10.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.060 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.060 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.061 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.061 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.061 * [taylor]: Taking taylor expansion of -1 in re 10.061 * [backup-simplify]: Simplify -1 into -1 10.061 * [taylor]: Taking taylor expansion of re in re 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify 1 into 1 10.061 * [backup-simplify]: Simplify (/ -1 1) into -1 10.061 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.061 * [taylor]: Taking taylor expansion of -1 in re 10.061 * [backup-simplify]: Simplify -1 into -1 10.061 * [taylor]: Taking taylor expansion of re in re 10.061 * [backup-simplify]: Simplify 0 into 0 10.061 * [backup-simplify]: Simplify 1 into 1 10.062 * [backup-simplify]: Simplify (/ -1 1) into -1 10.062 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.062 * [taylor]: Taking taylor expansion of -1 in re 10.062 * [backup-simplify]: Simplify -1 into -1 10.062 * [taylor]: Taking taylor expansion of im in re 10.062 * [backup-simplify]: Simplify im into im 10.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.062 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.062 * [taylor]: Taking taylor expansion of -1 in re 10.062 * [backup-simplify]: Simplify -1 into -1 10.062 * [taylor]: Taking taylor expansion of im in re 10.062 * [backup-simplify]: Simplify im into im 10.062 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.062 * [backup-simplify]: Simplify (* -1 -1) into 1 10.063 * [backup-simplify]: Simplify (+ 1 0) into 1 10.063 * [backup-simplify]: Simplify (sqrt 1) into 1 10.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.065 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.066 * [backup-simplify]: Simplify (+ 0 0) into 0 10.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.066 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 10.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 10.066 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 10.066 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 10.066 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.066 * [taylor]: Taking taylor expansion of -1 in re 10.067 * [backup-simplify]: Simplify -1 into -1 10.067 * [taylor]: Taking taylor expansion of re in re 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 1 into 1 10.067 * [backup-simplify]: Simplify (/ -1 1) into -1 10.067 * [taylor]: Taking taylor expansion of (/ -1 re) in re 10.067 * [taylor]: Taking taylor expansion of -1 in re 10.067 * [backup-simplify]: Simplify -1 into -1 10.067 * [taylor]: Taking taylor expansion of re in re 10.067 * [backup-simplify]: Simplify 0 into 0 10.067 * [backup-simplify]: Simplify 1 into 1 10.068 * [backup-simplify]: Simplify (/ -1 1) into -1 10.068 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 10.068 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.068 * [taylor]: Taking taylor expansion of -1 in re 10.068 * [backup-simplify]: Simplify -1 into -1 10.068 * [taylor]: Taking taylor expansion of im in re 10.068 * [backup-simplify]: Simplify im into im 10.068 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.068 * [taylor]: Taking taylor expansion of (/ -1 im) in re 10.068 * [taylor]: Taking taylor expansion of -1 in re 10.068 * [backup-simplify]: Simplify -1 into -1 10.068 * [taylor]: Taking taylor expansion of im in re 10.068 * [backup-simplify]: Simplify im into im 10.068 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 10.068 * [backup-simplify]: Simplify (* -1 -1) into 1 10.069 * [backup-simplify]: Simplify (+ 1 0) into 1 10.069 * [backup-simplify]: Simplify (sqrt 1) into 1 10.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 10.071 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 10.072 * [backup-simplify]: Simplify (+ 0 0) into 0 10.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 10.072 * [taylor]: Taking taylor expansion of 1 in im 10.072 * [backup-simplify]: Simplify 1 into 1 10.072 * [taylor]: Taking taylor expansion of 0 in im 10.072 * [backup-simplify]: Simplify 0 into 0 10.072 * [backup-simplify]: Simplify 1 into 1 10.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.075 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 10.075 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 10.075 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 10.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 10.076 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 10.076 * [taylor]: Taking taylor expansion of 1/2 in im 10.076 * [backup-simplify]: Simplify 1/2 into 1/2 10.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 10.076 * [taylor]: Taking taylor expansion of im in im 10.076 * [backup-simplify]: Simplify 0 into 0 10.076 * [backup-simplify]: Simplify 1 into 1 10.077 * [backup-simplify]: Simplify (* 1 1) into 1 10.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify 0 into 0 10.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 10.081 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.081 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 10.082 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 10.082 * [backup-simplify]: Simplify (+ 0 0) into 0 10.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 10.083 * [taylor]: Taking taylor expansion of 0 in im 10.083 * [backup-simplify]: Simplify 0 into 0 10.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 0 into 0 10.084 * [backup-simplify]: Simplify 0 into 0 10.085 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 10.085 * * * [progress]: simplifying candidates 10.085 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 10.085 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 10.085 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 10.085 * [simplify]: Simplifying (sqrt (hypot re im)) 10.085 * * [simplify]: iters left: 2 (4 enodes) 10.087 * * [simplify]: iters left: 1 (12 enodes) 10.089 * * [simplify]: Extracting #0: cost 1 inf + 0 10.090 * * [simplify]: Extracting #1: cost 3 inf + 0 10.090 * * [simplify]: Extracting #2: cost 6 inf + 0 10.090 * * [simplify]: Extracting #3: cost 4 inf + 2 10.090 * * [simplify]: Extracting #4: cost 0 inf + 310 10.090 * [simplify]: Simplified to (sqrt (hypot re im)) 10.090 * [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)))) 10.090 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 10.091 * [simplify]: Simplifying (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) 10.091 * * [simplify]: iters left: 6 (8 enodes) 10.094 * * [simplify]: iters left: 5 (27 enodes) 10.102 * * [simplify]: iters left: 4 (39 enodes) 10.113 * * [simplify]: iters left: 3 (54 enodes) 10.130 * * [simplify]: iters left: 2 (88 enodes) 10.155 * * [simplify]: iters left: 1 (173 enodes) 10.222 * * [simplify]: Extracting #0: cost 1 inf + 0 10.222 * * [simplify]: Extracting #1: cost 26 inf + 0 10.222 * * [simplify]: Extracting #2: cost 84 inf + 0 10.223 * * [simplify]: Extracting #3: cost 113 inf + 3 10.224 * * [simplify]: Extracting #4: cost 109 inf + 596 10.225 * * [simplify]: Extracting #5: cost 101 inf + 1529 10.228 * * [simplify]: Extracting #6: cost 64 inf + 11965 10.239 * * [simplify]: Extracting #7: cost 16 inf + 45325 10.255 * * [simplify]: Extracting #8: cost 0 inf + 58639 10.270 * [simplify]: Simplified to (exp (+ re (hypot re im))) 10.270 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (log (exp (+ re (hypot re im)))) 2.0)))) 10.270 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 10.270 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 10.270 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 10.270 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 10.270 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 10.270 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 10.270 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 10.271 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 10.271 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 10.271 * * * * [progress]: [ 14 / 106 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> 10.271 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 10.271 * * * * [progress]: [ 16 / 106 ] simplifiying candidate # 10.271 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 10.271 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 10.271 * [simplify]: Simplifying (hypot re im) 10.271 * * [simplify]: iters left: 1 (3 enodes) 10.273 * * [simplify]: Extracting #0: cost 1 inf + 0 10.273 * * [simplify]: Extracting #1: cost 4 inf + 0 10.273 * * [simplify]: Extracting #2: cost 2 inf + 2 10.273 * * [simplify]: Extracting #3: cost 0 inf + 116 10.273 * [simplify]: Simplified to (hypot re im) 10.273 * [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)))) 10.273 * [simplify]: Simplifying (+ 1/2 1/2) 10.273 * * [simplify]: iters left: 2 (2 enodes) 10.276 * * [simplify]: iters left: 1 (7 enodes) 10.278 * * [simplify]: Extracting #0: cost 1 inf + 0 10.278 * * [simplify]: Extracting #1: cost 0 inf + 1 10.278 * [simplify]: Simplified to 1 10.278 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.278 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 10.279 * [simplify]: Simplifying (hypot re im) 10.279 * * [simplify]: iters left: 1 (3 enodes) 10.280 * * [simplify]: Extracting #0: cost 1 inf + 0 10.280 * * [simplify]: Extracting #1: cost 4 inf + 0 10.280 * * [simplify]: Extracting #2: cost 2 inf + 2 10.280 * * [simplify]: Extracting #3: cost 0 inf + 116 10.280 * [simplify]: Simplified to (hypot re im) 10.280 * [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)))) 10.281 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 10.281 * * [simplify]: iters left: 4 (5 enodes) 10.286 * * [simplify]: iters left: 3 (18 enodes) 10.294 * * [simplify]: iters left: 2 (20 enodes) 10.302 * * [simplify]: Extracting #0: cost 1 inf + 0 10.302 * * [simplify]: Extracting #1: cost 0 inf + 1 10.302 * [simplify]: Simplified to 1 10.302 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.302 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 10.302 * [simplify]: Simplifying (sqrt (hypot re im)) 10.302 * * [simplify]: iters left: 2 (4 enodes) 10.303 * * [simplify]: iters left: 1 (12 enodes) 10.304 * * [simplify]: Extracting #0: cost 1 inf + 0 10.304 * * [simplify]: Extracting #1: cost 3 inf + 0 10.304 * * [simplify]: Extracting #2: cost 6 inf + 0 10.304 * * [simplify]: Extracting #3: cost 4 inf + 2 10.305 * * [simplify]: Extracting #4: cost 0 inf + 310 10.305 * [simplify]: Simplified to (sqrt (hypot re im)) 10.305 * [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)))) 10.305 * [simplify]: Simplifying (+ 1 1) 10.305 * * [simplify]: iters left: 2 (2 enodes) 10.306 * * [simplify]: iters left: 1 (9 enodes) 10.308 * * [simplify]: Extracting #0: cost 1 inf + 0 10.308 * * [simplify]: Extracting #1: cost 0 inf + 1 10.308 * [simplify]: Simplified to 2 10.308 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 10.308 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 10.308 * [simplify]: Simplifying (hypot re im) 10.308 * * [simplify]: iters left: 1 (3 enodes) 10.309 * * [simplify]: Extracting #0: cost 1 inf + 0 10.309 * * [simplify]: Extracting #1: cost 4 inf + 0 10.309 * * [simplify]: Extracting #2: cost 2 inf + 2 10.309 * * [simplify]: Extracting #3: cost 0 inf + 116 10.309 * [simplify]: Simplified to (hypot re im) 10.309 * [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)))) 10.309 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 10.309 * * [simplify]: iters left: 4 (5 enodes) 10.313 * * [simplify]: iters left: 3 (18 enodes) 10.316 * * [simplify]: iters left: 2 (20 enodes) 10.319 * * [simplify]: Extracting #0: cost 1 inf + 0 10.319 * * [simplify]: Extracting #1: cost 0 inf + 1 10.319 * [simplify]: Simplified to 1 10.319 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.319 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 10.319 * [simplify]: Simplifying (hypot re im) 10.319 * * [simplify]: iters left: 1 (3 enodes) 10.320 * * [simplify]: Extracting #0: cost 1 inf + 0 10.320 * * [simplify]: Extracting #1: cost 4 inf + 0 10.320 * * [simplify]: Extracting #2: cost 2 inf + 2 10.320 * * [simplify]: Extracting #3: cost 0 inf + 116 10.320 * [simplify]: Simplified to (hypot re im) 10.320 * [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)))) 10.320 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 10.320 * * [simplify]: iters left: 4 (4 enodes) 10.323 * * [simplify]: iters left: 3 (15 enodes) 10.325 * * [simplify]: iters left: 2 (17 enodes) 10.328 * * [simplify]: Extracting #0: cost 1 inf + 0 10.328 * * [simplify]: Extracting #1: cost 0 inf + 1 10.328 * [simplify]: Simplified to 1 10.328 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.328 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 10.328 * [simplify]: Simplifying (* (hypot re im) (hypot re im)) 10.329 * * [simplify]: iters left: 3 (4 enodes) 10.330 * * [simplify]: iters left: 2 (12 enodes) 10.333 * * [simplify]: Extracting #0: cost 1 inf + 0 10.334 * * [simplify]: Extracting #1: cost 3 inf + 0 10.334 * * [simplify]: Extracting #2: cost 6 inf + 0 10.334 * * [simplify]: Extracting #3: cost 4 inf + 2 10.334 * * [simplify]: Extracting #4: cost 0 inf + 310 10.334 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 10.334 * [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)))) 10.334 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 10.334 * [simplify]: Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im))) 10.335 * * [simplify]: iters left: 4 (5 enodes) 10.337 * * [simplify]: iters left: 3 (13 enodes) 10.340 * * [simplify]: iters left: 2 (14 enodes) 10.344 * * [simplify]: Extracting #0: cost 1 inf + 0 10.344 * * [simplify]: Extracting #1: cost 5 inf + 0 10.344 * * [simplify]: Extracting #2: cost 4 inf + 2 10.344 * * [simplify]: Extracting #3: cost 3 inf + 59 10.344 * * [simplify]: Extracting #4: cost 0 inf + 310 10.344 * [simplify]: Simplified to (hypot re im) 10.344 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.344 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 10.345 * [simplify]: Simplifying (* (hypot re im) (hypot re im)) 10.345 * * [simplify]: iters left: 3 (4 enodes) 10.347 * * [simplify]: iters left: 2 (12 enodes) 10.350 * * [simplify]: Extracting #0: cost 1 inf + 0 10.350 * * [simplify]: Extracting #1: cost 3 inf + 0 10.350 * * [simplify]: Extracting #2: cost 6 inf + 0 10.350 * * [simplify]: Extracting #3: cost 4 inf + 2 10.350 * * [simplify]: Extracting #4: cost 0 inf + 310 10.350 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 10.350 * [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)))) 10.351 * [simplify]: Simplifying (/ 1 2) 10.351 * * [simplify]: iters left: 2 (3 enodes) 10.354 * * [simplify]: iters left: 1 (12 enodes) 10.358 * * [simplify]: Extracting #0: cost 1 inf + 0 10.358 * * [simplify]: Extracting #1: cost 0 inf + 1 10.358 * [simplify]: Simplified to 1/2 10.359 * [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)))) 10.359 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 10.359 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 10.359 * [simplify]: Simplifying (sqrt (hypot re im)) 10.359 * * [simplify]: iters left: 2 (4 enodes) 10.361 * * [simplify]: iters left: 1 (12 enodes) 10.364 * * [simplify]: Extracting #0: cost 1 inf + 0 10.364 * * [simplify]: Extracting #1: cost 3 inf + 0 10.364 * * [simplify]: Extracting #2: cost 6 inf + 0 10.364 * * [simplify]: Extracting #3: cost 4 inf + 2 10.364 * * [simplify]: Extracting #4: cost 0 inf + 310 10.364 * [simplify]: Simplified to (sqrt (hypot re im)) 10.364 * [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)))) 10.365 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 10.365 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 10.365 * [simplify]: Simplifying (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) 10.365 * * [simplify]: iters left: 5 (6 enodes) 10.368 * * [simplify]: iters left: 4 (18 enodes) 10.373 * * [simplify]: Extracting #0: cost 1 inf + 0 10.373 * * [simplify]: Extracting #1: cost 3 inf + 0 10.373 * * [simplify]: Extracting #2: cost 5 inf + 0 10.373 * * [simplify]: Extracting #3: cost 7 inf + 0 10.373 * * [simplify]: Extracting #4: cost 10 inf + 0 10.373 * * [simplify]: Extracting #5: cost 8 inf + 2 10.374 * * [simplify]: Extracting #6: cost 0 inf + 1058 10.374 * [simplify]: Simplified to (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) 10.374 * [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)))) 10.374 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 10.374 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 10.374 * * * * [progress]: [ 32 / 106 ] simplifiying candidate # 10.375 * [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)))) 10.375 * * [simplify]: iters left: 6 (7 enodes) 10.378 * * [simplify]: iters left: 5 (26 enodes) 10.387 * * [simplify]: iters left: 4 (42 enodes) 10.401 * * [simplify]: iters left: 3 (57 enodes) 10.418 * * [simplify]: iters left: 2 (95 enodes) 10.442 * * [simplify]: iters left: 1 (183 enodes) 10.499 * * [simplify]: Extracting #0: cost 1 inf + 0 10.499 * * [simplify]: Extracting #1: cost 23 inf + 0 10.499 * * [simplify]: Extracting #2: cost 88 inf + 3 10.500 * * [simplify]: Extracting #3: cost 92 inf + 11 10.500 * * [simplify]: Extracting #4: cost 79 inf + 2540 10.501 * * [simplify]: Extracting #5: cost 40 inf + 14098 10.504 * * [simplify]: Extracting #6: cost 3 inf + 29153 10.508 * * [simplify]: Extracting #7: cost 0 inf + 30779 10.511 * [simplify]: Simplified to (* (hypot re im) (* (hypot re im) (hypot re im))) 10.511 * [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)))) 10.511 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 10.512 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 10.512 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 10.512 * [simplify]: Simplifying (* (hypot re im) (hypot re im)) 10.512 * * [simplify]: iters left: 3 (4 enodes) 10.513 * * [simplify]: iters left: 2 (12 enodes) 10.514 * * [simplify]: Extracting #0: cost 1 inf + 0 10.514 * * [simplify]: Extracting #1: cost 3 inf + 0 10.514 * * [simplify]: Extracting #2: cost 6 inf + 0 10.514 * * [simplify]: Extracting #3: cost 4 inf + 2 10.514 * * [simplify]: Extracting #4: cost 0 inf + 310 10.514 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 10.514 * [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)))) 10.514 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 10.514 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 10.514 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 10.515 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 10.515 * [simplify]: Simplifying (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 10.515 * * [simplify]: iters left: 6 (7 enodes) 10.520 * * [simplify]: iters left: 5 (25 enodes) 10.523 * * [simplify]: iters left: 4 (29 enodes) 10.532 * * [simplify]: iters left: 3 (40 enodes) 10.546 * * [simplify]: iters left: 2 (64 enodes) 10.570 * * [simplify]: iters left: 1 (112 enodes) 10.611 * * [simplify]: Extracting #0: cost 1 inf + 0 10.611 * * [simplify]: Extracting #1: cost 13 inf + 0 10.611 * * [simplify]: Extracting #2: cost 40 inf + 1 10.611 * * [simplify]: Extracting #3: cost 41 inf + 7 10.612 * * [simplify]: Extracting #4: cost 38 inf + 11 10.612 * * [simplify]: Extracting #5: cost 34 inf + 223 10.613 * * [simplify]: Extracting #6: cost 21 inf + 4714 10.616 * * [simplify]: Extracting #7: cost 1 inf + 14642 10.619 * * [simplify]: Extracting #8: cost 0 inf + 15492 10.622 * [simplify]: Simplified to (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) 10.622 * [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)))) 10.623 * [simplify]: Simplifying (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 10.623 * * [simplify]: iters left: 5 (6 enodes) 10.625 * * [simplify]: iters left: 4 (18 enodes) 10.630 * * [simplify]: Extracting #0: cost 1 inf + 0 10.630 * * [simplify]: Extracting #1: cost 3 inf + 0 10.630 * * [simplify]: Extracting #2: cost 5 inf + 0 10.630 * * [simplify]: Extracting #3: cost 7 inf + 0 10.630 * * [simplify]: Extracting #4: cost 10 inf + 0 10.631 * * [simplify]: Extracting #5: cost 8 inf + 2 10.631 * * [simplify]: Extracting #6: cost 0 inf + 1098 10.631 * [simplify]: Simplified to (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 10.631 * [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)))) 10.631 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 10.632 * [simplify]: Simplifying (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 10.632 * * [simplify]: iters left: 6 (7 enodes) 10.635 * * [simplify]: iters left: 5 (20 enodes) 10.640 * * [simplify]: iters left: 4 (21 enodes) 10.645 * * [simplify]: Extracting #0: cost 1 inf + 0 10.645 * * [simplify]: Extracting #1: cost 4 inf + 0 10.645 * * [simplify]: Extracting #2: cost 7 inf + 0 10.645 * * [simplify]: Extracting #3: cost 10 inf + 0 10.646 * * [simplify]: Extracting #4: cost 8 inf + 2 10.646 * * [simplify]: Extracting #5: cost 0 inf + 1098 10.646 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 10.646 * [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)))) 10.647 * [simplify]: Simplifying (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) 10.647 * * [simplify]: iters left: 5 (6 enodes) 10.649 * * [simplify]: iters left: 4 (16 enodes) 10.654 * * [simplify]: iters left: 3 (17 enodes) 10.659 * * [simplify]: Extracting #0: cost 1 inf + 0 10.659 * * [simplify]: Extracting #1: cost 4 inf + 0 10.659 * * [simplify]: Extracting #2: cost 8 inf + 0 10.659 * * [simplify]: Extracting #3: cost 6 inf + 2 10.659 * * [simplify]: Extracting #4: cost 2 inf + 390 10.663 * * [simplify]: Extracting #5: cost 0 inf + 744 10.664 * [simplify]: Simplified to (cbrt (hypot re im)) 10.664 * [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)))) 10.664 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 10.664 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.664 * * [simplify]: iters left: 5 (6 enodes) 10.667 * * [simplify]: iters left: 4 (16 enodes) 10.671 * * [simplify]: iters left: 3 (17 enodes) 10.675 * * [simplify]: Extracting #0: cost 1 inf + 0 10.675 * * [simplify]: Extracting #1: cost 4 inf + 0 10.675 * * [simplify]: Extracting #2: cost 8 inf + 0 10.676 * * [simplify]: Extracting #3: cost 6 inf + 2 10.676 * * [simplify]: Extracting #4: cost 2 inf + 310 10.676 * * [simplify]: Extracting #5: cost 0 inf + 584 10.676 * [simplify]: Simplified to (sqrt (hypot re im)) 10.676 * [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)))) 10.677 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.677 * * [simplify]: iters left: 5 (6 enodes) 10.679 * * [simplify]: iters left: 4 (16 enodes) 10.683 * * [simplify]: iters left: 3 (17 enodes) 10.688 * * [simplify]: Extracting #0: cost 1 inf + 0 10.688 * * [simplify]: Extracting #1: cost 4 inf + 0 10.688 * * [simplify]: Extracting #2: cost 8 inf + 0 10.688 * * [simplify]: Extracting #3: cost 6 inf + 2 10.688 * * [simplify]: Extracting #4: cost 2 inf + 310 10.688 * * [simplify]: Extracting #5: cost 0 inf + 584 10.689 * [simplify]: Simplified to (sqrt (hypot re im)) 10.689 * [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)))) 10.689 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 10.689 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.689 * * [simplify]: iters left: 5 (6 enodes) 10.692 * * [simplify]: iters left: 4 (16 enodes) 10.696 * * [simplify]: iters left: 3 (17 enodes) 10.700 * * [simplify]: Extracting #0: cost 1 inf + 0 10.700 * * [simplify]: Extracting #1: cost 4 inf + 0 10.700 * * [simplify]: Extracting #2: cost 8 inf + 0 10.700 * * [simplify]: Extracting #3: cost 6 inf + 2 10.700 * * [simplify]: Extracting #4: cost 2 inf + 310 10.701 * * [simplify]: Extracting #5: cost 0 inf + 584 10.701 * [simplify]: Simplified to (sqrt (hypot re im)) 10.701 * [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)))) 10.701 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.701 * * [simplify]: iters left: 5 (6 enodes) 10.704 * * [simplify]: iters left: 4 (16 enodes) 10.708 * * [simplify]: iters left: 3 (17 enodes) 10.710 * * [simplify]: Extracting #0: cost 1 inf + 0 10.711 * * [simplify]: Extracting #1: cost 4 inf + 0 10.711 * * [simplify]: Extracting #2: cost 8 inf + 0 10.711 * * [simplify]: Extracting #3: cost 6 inf + 2 10.711 * * [simplify]: Extracting #4: cost 2 inf + 310 10.711 * * [simplify]: Extracting #5: cost 0 inf + 584 10.711 * [simplify]: Simplified to (sqrt (hypot re im)) 10.711 * [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)))) 10.711 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 10.711 * [simplify]: Simplifying (* (sqrt 1) (sqrt 1)) 10.711 * * [simplify]: iters left: 3 (3 enodes) 10.713 * * [simplify]: iters left: 2 (9 enodes) 10.715 * * [simplify]: iters left: 1 (11 enodes) 10.717 * * [simplify]: Extracting #0: cost 1 inf + 0 10.717 * * [simplify]: Extracting #1: cost 0 inf + 1 10.717 * [simplify]: Simplified to 1 10.717 * [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)))) 10.717 * [simplify]: Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im))) 10.717 * * [simplify]: iters left: 4 (5 enodes) 10.718 * * [simplify]: iters left: 3 (13 enodes) 10.720 * * [simplify]: iters left: 2 (14 enodes) 10.721 * * [simplify]: Extracting #0: cost 1 inf + 0 10.721 * * [simplify]: Extracting #1: cost 5 inf + 0 10.721 * * [simplify]: Extracting #2: cost 4 inf + 2 10.721 * * [simplify]: Extracting #3: cost 3 inf + 59 10.721 * * [simplify]: Extracting #4: cost 0 inf + 310 10.721 * [simplify]: Simplified to (hypot re im) 10.721 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (hypot re im)) re) 2.0)))) 10.722 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 10.722 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.722 * * [simplify]: iters left: 5 (6 enodes) 10.723 * * [simplify]: iters left: 4 (16 enodes) 10.725 * * [simplify]: iters left: 3 (17 enodes) 10.727 * * [simplify]: Extracting #0: cost 1 inf + 0 10.727 * * [simplify]: Extracting #1: cost 4 inf + 0 10.727 * * [simplify]: Extracting #2: cost 8 inf + 0 10.727 * * [simplify]: Extracting #3: cost 6 inf + 2 10.727 * * [simplify]: Extracting #4: cost 2 inf + 310 10.727 * * [simplify]: Extracting #5: cost 0 inf + 584 10.727 * [simplify]: Simplified to (sqrt (hypot re im)) 10.727 * [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)))) 10.727 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.727 * * [simplify]: iters left: 5 (6 enodes) 10.729 * * [simplify]: iters left: 4 (16 enodes) 10.731 * * [simplify]: iters left: 3 (17 enodes) 10.732 * * [simplify]: Extracting #0: cost 1 inf + 0 10.733 * * [simplify]: Extracting #1: cost 4 inf + 0 10.733 * * [simplify]: Extracting #2: cost 8 inf + 0 10.733 * * [simplify]: Extracting #3: cost 6 inf + 2 10.733 * * [simplify]: Extracting #4: cost 2 inf + 310 10.733 * * [simplify]: Extracting #5: cost 0 inf + 584 10.733 * [simplify]: Simplified to (sqrt (hypot re im)) 10.733 * [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)))) 10.733 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 10.733 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.733 * * [simplify]: iters left: 5 (6 enodes) 10.734 * * [simplify]: iters left: 4 (16 enodes) 10.737 * * [simplify]: iters left: 3 (17 enodes) 10.741 * * [simplify]: Extracting #0: cost 1 inf + 0 10.741 * * [simplify]: Extracting #1: cost 4 inf + 0 10.741 * * [simplify]: Extracting #2: cost 8 inf + 0 10.741 * * [simplify]: Extracting #3: cost 6 inf + 2 10.741 * * [simplify]: Extracting #4: cost 2 inf + 310 10.741 * * [simplify]: Extracting #5: cost 0 inf + 584 10.741 * [simplify]: Simplified to (sqrt (hypot re im)) 10.741 * [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)))) 10.742 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.742 * * [simplify]: iters left: 5 (6 enodes) 10.744 * * [simplify]: iters left: 4 (16 enodes) 10.749 * * [simplify]: iters left: 3 (17 enodes) 10.753 * * [simplify]: Extracting #0: cost 1 inf + 0 10.753 * * [simplify]: Extracting #1: cost 4 inf + 0 10.753 * * [simplify]: Extracting #2: cost 8 inf + 0 10.753 * * [simplify]: Extracting #3: cost 6 inf + 2 10.753 * * [simplify]: Extracting #4: cost 2 inf + 310 10.753 * * [simplify]: Extracting #5: cost 0 inf + 584 10.754 * [simplify]: Simplified to (sqrt (hypot re im)) 10.754 * [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)))) 10.754 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 10.754 * [simplify]: Simplifying (* 1 1) 10.754 * * [simplify]: iters left: 2 (2 enodes) 10.756 * * [simplify]: iters left: 1 (6 enodes) 10.758 * * [simplify]: Extracting #0: cost 1 inf + 0 10.758 * * [simplify]: Extracting #1: cost 0 inf + 1 10.758 * [simplify]: Simplified to 1 10.758 * [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)))) 10.759 * [simplify]: Simplifying (* (sqrt (hypot re im)) (sqrt (hypot re im))) 10.759 * * [simplify]: iters left: 4 (5 enodes) 10.761 * * [simplify]: iters left: 3 (13 enodes) 10.764 * * [simplify]: iters left: 2 (14 enodes) 10.768 * * [simplify]: Extracting #0: cost 1 inf + 0 10.768 * * [simplify]: Extracting #1: cost 5 inf + 0 10.768 * * [simplify]: Extracting #2: cost 4 inf + 2 10.768 * * [simplify]: Extracting #3: cost 3 inf + 59 10.768 * * [simplify]: Extracting #4: cost 0 inf + 310 10.768 * [simplify]: Simplified to (hypot re im) 10.768 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (hypot re im)) re) 2.0)))) 10.768 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 10.769 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.769 * * [simplify]: iters left: 5 (6 enodes) 10.770 * * [simplify]: iters left: 4 (16 enodes) 10.772 * * [simplify]: iters left: 3 (17 enodes) 10.774 * * [simplify]: Extracting #0: cost 1 inf + 0 10.774 * * [simplify]: Extracting #1: cost 4 inf + 0 10.774 * * [simplify]: Extracting #2: cost 8 inf + 0 10.774 * * [simplify]: Extracting #3: cost 6 inf + 2 10.774 * * [simplify]: Extracting #4: cost 2 inf + 310 10.774 * * [simplify]: Extracting #5: cost 0 inf + 584 10.774 * [simplify]: Simplified to (sqrt (hypot re im)) 10.774 * [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)))) 10.774 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.774 * * [simplify]: iters left: 5 (6 enodes) 10.776 * * [simplify]: iters left: 4 (16 enodes) 10.778 * * [simplify]: iters left: 3 (17 enodes) 10.782 * * [simplify]: Extracting #0: cost 1 inf + 0 10.782 * * [simplify]: Extracting #1: cost 4 inf + 0 10.782 * * [simplify]: Extracting #2: cost 8 inf + 0 10.782 * * [simplify]: Extracting #3: cost 6 inf + 2 10.782 * * [simplify]: Extracting #4: cost 2 inf + 310 10.782 * * [simplify]: Extracting #5: cost 0 inf + 584 10.782 * [simplify]: Simplified to (sqrt (hypot re im)) 10.782 * [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)))) 10.782 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 10.783 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.783 * * [simplify]: iters left: 5 (6 enodes) 10.784 * * [simplify]: iters left: 4 (16 enodes) 10.787 * * [simplify]: iters left: 3 (17 enodes) 10.789 * * [simplify]: Extracting #0: cost 1 inf + 0 10.789 * * [simplify]: Extracting #1: cost 4 inf + 0 10.789 * * [simplify]: Extracting #2: cost 8 inf + 0 10.789 * * [simplify]: Extracting #3: cost 6 inf + 2 10.789 * * [simplify]: Extracting #4: cost 2 inf + 310 10.789 * * [simplify]: Extracting #5: cost 0 inf + 584 10.789 * [simplify]: Simplified to (sqrt (hypot re im)) 10.790 * [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)))) 10.790 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.790 * * [simplify]: iters left: 5 (6 enodes) 10.791 * * [simplify]: iters left: 4 (16 enodes) 10.793 * * [simplify]: iters left: 3 (17 enodes) 10.796 * * [simplify]: Extracting #0: cost 1 inf + 0 10.796 * * [simplify]: Extracting #1: cost 4 inf + 0 10.796 * * [simplify]: Extracting #2: cost 8 inf + 0 10.796 * * [simplify]: Extracting #3: cost 6 inf + 2 10.797 * * [simplify]: Extracting #4: cost 2 inf + 310 10.797 * * [simplify]: Extracting #5: cost 0 inf + 584 10.797 * [simplify]: Simplified to (sqrt (hypot re im)) 10.797 * [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)))) 10.797 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 10.797 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.797 * * [simplify]: iters left: 5 (6 enodes) 10.799 * * [simplify]: iters left: 4 (16 enodes) 10.801 * * [simplify]: iters left: 3 (17 enodes) 10.806 * * [simplify]: Extracting #0: cost 1 inf + 0 10.806 * * [simplify]: Extracting #1: cost 4 inf + 0 10.806 * * [simplify]: Extracting #2: cost 8 inf + 0 10.806 * * [simplify]: Extracting #3: cost 6 inf + 2 10.806 * * [simplify]: Extracting #4: cost 2 inf + 310 10.806 * * [simplify]: Extracting #5: cost 0 inf + 584 10.807 * [simplify]: Simplified to (sqrt (hypot re im)) 10.807 * [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)))) 10.807 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.807 * * [simplify]: iters left: 5 (6 enodes) 10.810 * * [simplify]: iters left: 4 (16 enodes) 10.814 * * [simplify]: iters left: 3 (17 enodes) 10.818 * * [simplify]: Extracting #0: cost 1 inf + 0 10.818 * * [simplify]: Extracting #1: cost 4 inf + 0 10.818 * * [simplify]: Extracting #2: cost 8 inf + 0 10.818 * * [simplify]: Extracting #3: cost 6 inf + 2 10.819 * * [simplify]: Extracting #4: cost 2 inf + 310 10.819 * * [simplify]: Extracting #5: cost 0 inf + 584 10.819 * [simplify]: Simplified to (sqrt (hypot re im)) 10.819 * [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)))) 10.819 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 10.820 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.820 * * [simplify]: iters left: 5 (6 enodes) 10.822 * * [simplify]: iters left: 4 (16 enodes) 10.827 * * [simplify]: iters left: 3 (17 enodes) 10.831 * * [simplify]: Extracting #0: cost 1 inf + 0 10.831 * * [simplify]: Extracting #1: cost 4 inf + 0 10.831 * * [simplify]: Extracting #2: cost 8 inf + 0 10.831 * * [simplify]: Extracting #3: cost 6 inf + 2 10.831 * * [simplify]: Extracting #4: cost 2 inf + 310 10.832 * * [simplify]: Extracting #5: cost 0 inf + 584 10.832 * [simplify]: Simplified to (sqrt (hypot re im)) 10.832 * [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)))) 10.832 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) 10.832 * * [simplify]: iters left: 5 (6 enodes) 10.835 * * [simplify]: iters left: 4 (16 enodes) 10.839 * * [simplify]: iters left: 3 (17 enodes) 10.843 * * [simplify]: Extracting #0: cost 1 inf + 0 10.843 * * [simplify]: Extracting #1: cost 4 inf + 0 10.843 * * [simplify]: Extracting #2: cost 8 inf + 0 10.843 * * [simplify]: Extracting #3: cost 6 inf + 2 10.843 * * [simplify]: Extracting #4: cost 2 inf + 310 10.844 * * [simplify]: Extracting #5: cost 0 inf + 584 10.844 * [simplify]: Simplified to (sqrt (hypot re im)) 10.844 * [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)))) 10.844 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 10.844 * [simplify]: Simplifying (hypot re im) 10.845 * * [simplify]: iters left: 1 (3 enodes) 10.846 * * [simplify]: Extracting #0: cost 1 inf + 0 10.846 * * [simplify]: Extracting #1: cost 4 inf + 0 10.846 * * [simplify]: Extracting #2: cost 2 inf + 2 10.846 * * [simplify]: Extracting #3: cost 0 inf + 116 10.846 * [simplify]: Simplified to (hypot re im) 10.846 * [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)))) 10.846 * [simplify]: Simplifying (* 2 1/2) 10.846 * * [simplify]: iters left: 2 (3 enodes) 10.850 * * [simplify]: iters left: 1 (11 enodes) 10.854 * * [simplify]: Extracting #0: cost 1 inf + 0 10.854 * * [simplify]: Extracting #1: cost 0 inf + 1 10.854 * [simplify]: Simplified to 1 10.854 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.854 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 10.854 * [simplify]: Simplifying (sqrt (hypot re im)) 10.854 * * [simplify]: iters left: 2 (4 enodes) 10.856 * * [simplify]: iters left: 1 (12 enodes) 10.859 * * [simplify]: Extracting #0: cost 1 inf + 0 10.859 * * [simplify]: Extracting #1: cost 3 inf + 0 10.859 * * [simplify]: Extracting #2: cost 6 inf + 0 10.859 * * [simplify]: Extracting #3: cost 4 inf + 2 10.859 * * [simplify]: Extracting #4: cost 0 inf + 310 10.859 * [simplify]: Simplified to (sqrt (hypot re im)) 10.859 * [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)))) 10.860 * [simplify]: Simplifying (* 2 1) 10.860 * * [simplify]: iters left: 2 (3 enodes) 10.862 * * [simplify]: iters left: 1 (9 enodes) 10.866 * * [simplify]: Extracting #0: cost 1 inf + 0 10.866 * * [simplify]: Extracting #1: cost 0 inf + 1 10.866 * [simplify]: Simplified to 2 10.866 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 10.866 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 10.866 * [simplify]: Simplifying (hypot re im) 10.866 * * [simplify]: iters left: 1 (3 enodes) 10.867 * * [simplify]: Extracting #0: cost 1 inf + 0 10.867 * * [simplify]: Extracting #1: cost 4 inf + 0 10.867 * * [simplify]: Extracting #2: cost 2 inf + 2 10.868 * * [simplify]: Extracting #3: cost 0 inf + 116 10.868 * [simplify]: Simplified to (hypot re im) 10.868 * [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)))) 10.868 * [simplify]: Simplifying (* 2 (/ 1 2)) 10.868 * * [simplify]: iters left: 4 (4 enodes) 10.872 * * [simplify]: iters left: 3 (13 enodes) 10.876 * * [simplify]: iters left: 2 (15 enodes) 10.881 * * [simplify]: Extracting #0: cost 1 inf + 0 10.881 * * [simplify]: Extracting #1: cost 0 inf + 1 10.881 * [simplify]: Simplified to 1 10.881 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 10.881 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 10.881 * [simplify]: Simplifying (cbrt (sqrt (hypot re im))) 10.881 * * [simplify]: iters left: 3 (5 enodes) 10.883 * * [simplify]: iters left: 2 (15 enodes) 10.887 * * [simplify]: Extracting #0: cost 1 inf + 0 10.887 * * [simplify]: Extracting #1: cost 3 inf + 0 10.887 * * [simplify]: Extracting #2: cost 5 inf + 0 10.887 * * [simplify]: Extracting #3: cost 8 inf + 0 10.887 * * [simplify]: Extracting #4: cost 6 inf + 2 10.888 * * [simplify]: Extracting #5: cost 0 inf + 664 10.888 * [simplify]: Simplified to (cbrt (sqrt (hypot re im))) 10.888 * [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)))) 10.888 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 10.888 * [simplify]: Simplifying (sqrt (cbrt (hypot re im))) 10.889 * * [simplify]: iters left: 3 (5 enodes) 10.890 * * [simplify]: iters left: 2 (15 enodes) 10.894 * * [simplify]: Extracting #0: cost 1 inf + 0 10.894 * * [simplify]: Extracting #1: cost 3 inf + 0 10.894 * * [simplify]: Extracting #2: cost 5 inf + 0 10.895 * * [simplify]: Extracting #3: cost 8 inf + 0 10.895 * * [simplify]: Extracting #4: cost 6 inf + 2 10.895 * * [simplify]: Extracting #5: cost 0 inf + 744 10.895 * [simplify]: Simplified to (sqrt (cbrt (hypot re im))) 10.895 * [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)))) 10.895 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 10.896 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 10.896 * * [simplify]: iters left: 3 (5 enodes) 10.897 * * [simplify]: iters left: 2 (15 enodes) 10.901 * * [simplify]: Extracting #0: cost 1 inf + 0 10.902 * * [simplify]: Extracting #1: cost 3 inf + 0 10.902 * * [simplify]: Extracting #2: cost 5 inf + 0 10.902 * * [simplify]: Extracting #3: cost 8 inf + 0 10.902 * * [simplify]: Extracting #4: cost 6 inf + 2 10.902 * * [simplify]: Extracting #5: cost 0 inf + 584 10.902 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 10.902 * [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)))) 10.902 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 10.903 * [simplify]: Simplifying (sqrt (hypot re im)) 10.903 * * [simplify]: iters left: 2 (4 enodes) 10.905 * * [simplify]: iters left: 1 (12 enodes) 10.908 * * [simplify]: Extracting #0: cost 1 inf + 0 10.908 * * [simplify]: Extracting #1: cost 3 inf + 0 10.908 * * [simplify]: Extracting #2: cost 6 inf + 0 10.908 * * [simplify]: Extracting #3: cost 4 inf + 2 10.908 * * [simplify]: Extracting #4: cost 0 inf + 310 10.908 * [simplify]: Simplified to (sqrt (hypot re im)) 10.908 * [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)))) 10.908 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 10.909 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 10.909 * * [simplify]: iters left: 3 (5 enodes) 10.911 * * [simplify]: iters left: 2 (15 enodes) 10.915 * * [simplify]: Extracting #0: cost 1 inf + 0 10.915 * * [simplify]: Extracting #1: cost 3 inf + 0 10.915 * * [simplify]: Extracting #2: cost 5 inf + 0 10.915 * * [simplify]: Extracting #3: cost 8 inf + 0 10.915 * * [simplify]: Extracting #4: cost 6 inf + 2 10.916 * * [simplify]: Extracting #5: cost 0 inf + 584 10.916 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 10.916 * [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)))) 10.916 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 10.917 * [simplify]: Simplifying (sqrt (hypot re im)) 10.917 * * [simplify]: iters left: 2 (4 enodes) 10.918 * * [simplify]: iters left: 1 (12 enodes) 10.921 * * [simplify]: Extracting #0: cost 1 inf + 0 10.921 * * [simplify]: Extracting #1: cost 3 inf + 0 10.921 * * [simplify]: Extracting #2: cost 6 inf + 0 10.922 * * [simplify]: Extracting #3: cost 4 inf + 2 10.922 * * [simplify]: Extracting #4: cost 0 inf + 310 10.922 * [simplify]: Simplified to (sqrt (hypot re im)) 10.922 * [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)))) 10.922 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 10.922 * [simplify]: Simplifying (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 10.922 * * [simplify]: iters left: 5 (6 enodes) 10.925 * * [simplify]: iters left: 4 (18 enodes) 10.932 * * [simplify]: Extracting #0: cost 1 inf + 0 10.932 * * [simplify]: Extracting #1: cost 3 inf + 0 10.932 * * [simplify]: Extracting #2: cost 5 inf + 0 10.932 * * [simplify]: Extracting #3: cost 7 inf + 0 10.932 * * [simplify]: Extracting #4: cost 10 inf + 0 10.933 * * [simplify]: Extracting #5: cost 8 inf + 2 10.933 * * [simplify]: Extracting #6: cost 0 inf + 1098 10.933 * [simplify]: Simplified to (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 10.933 * [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)))) 10.933 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 10.934 * [simplify]: Simplifying (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) 10.934 * * [simplify]: iters left: 5 (6 enodes) 10.936 * * [simplify]: iters left: 4 (19 enodes) 10.941 * * [simplify]: Extracting #0: cost 1 inf + 0 10.941 * * [simplify]: Extracting #1: cost 4 inf + 0 10.941 * * [simplify]: Extracting #2: cost 7 inf + 0 10.941 * * [simplify]: Extracting #3: cost 10 inf + 0 10.941 * * [simplify]: Extracting #4: cost 8 inf + 2 10.941 * * [simplify]: Extracting #5: cost 0 inf + 1098 10.941 * [simplify]: Simplified to (fabs (cbrt (hypot re im))) 10.941 * [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)))) 10.941 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 10.942 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 10.942 * * [simplify]: iters left: 3 (5 enodes) 10.943 * * [simplify]: iters left: 2 (15 enodes) 10.944 * * [simplify]: Extracting #0: cost 1 inf + 0 10.944 * * [simplify]: Extracting #1: cost 3 inf + 0 10.944 * * [simplify]: Extracting #2: cost 5 inf + 0 10.944 * * [simplify]: Extracting #3: cost 8 inf + 0 10.945 * * [simplify]: Extracting #4: cost 6 inf + 2 10.945 * * [simplify]: Extracting #5: cost 0 inf + 584 10.945 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 10.945 * [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)))) 10.945 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 10.945 * [simplify]: Simplifying (sqrt 1) 10.945 * * [simplify]: iters left: 1 (2 enodes) 10.947 * * [simplify]: Extracting #0: cost 1 inf + 0 10.947 * * [simplify]: Extracting #1: cost 0 inf + 1 10.947 * [simplify]: Simplified to 1 10.947 * [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)))) 10.947 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 10.947 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 10.947 * * [simplify]: iters left: 3 (5 enodes) 10.948 * * [simplify]: iters left: 2 (15 enodes) 10.950 * * [simplify]: Extracting #0: cost 1 inf + 0 10.950 * * [simplify]: Extracting #1: cost 3 inf + 0 10.950 * * [simplify]: Extracting #2: cost 5 inf + 0 10.950 * * [simplify]: Extracting #3: cost 8 inf + 0 10.950 * * [simplify]: Extracting #4: cost 6 inf + 2 10.950 * * [simplify]: Extracting #5: cost 0 inf + 584 10.951 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 10.951 * [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)))) 10.951 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 66 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re) 2.0))))> 10.951 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 10.951 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 10.951 * [simplify]: Simplifying (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) 10.951 * * [simplify]: iters left: 6 (7 enodes) 10.953 * * [simplify]: iters left: 5 (21 enodes) 10.956 * * [simplify]: iters left: 4 (22 enodes) 10.958 * * [simplify]: Extracting #0: cost 1 inf + 0 10.959 * * [simplify]: Extracting #1: cost 3 inf + 0 10.959 * * [simplify]: Extracting #2: cost 7 inf + 0 10.959 * * [simplify]: Extracting #3: cost 9 inf + 1 10.959 * * [simplify]: Extracting #4: cost 3 inf + 447 10.959 * * [simplify]: Extracting #5: cost 0 inf + 778 10.959 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 10.959 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 10.959 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 10.959 * [simplify]: Simplifying (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0)) 10.959 * * [simplify]: iters left: 6 (12 enodes) 10.963 * * [simplify]: iters left: 5 (51 enodes) 10.980 * * [simplify]: iters left: 4 (109 enodes) 11.003 * * [simplify]: iters left: 3 (231 enodes) 11.082 * * [simplify]: iters left: 2 (483 enodes) 11.231 * * [simplify]: Extracting #0: cost 1 inf + 0 11.231 * * [simplify]: Extracting #1: cost 3 inf + 0 11.231 * * [simplify]: Extracting #2: cost 10 inf + 0 11.231 * * [simplify]: Extracting #3: cost 78 inf + 1 11.232 * * [simplify]: Extracting #4: cost 206 inf + 4 11.233 * * [simplify]: Extracting #5: cost 185 inf + 5291 11.237 * * [simplify]: Extracting #6: cost 125 inf + 23228 11.243 * * [simplify]: Extracting #7: cost 26 inf + 66444 11.259 * * [simplify]: Extracting #8: cost 0 inf + 79901 11.275 * [simplify]: Simplified to (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) 11.275 * [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))))))) 11.275 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 11.275 * [simplify]: Simplifying (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0)) 11.275 * * [simplify]: iters left: 6 (11 enodes) 11.283 * * [simplify]: iters left: 5 (42 enodes) 11.290 * * [simplify]: iters left: 4 (74 enodes) 11.304 * * [simplify]: iters left: 3 (158 enodes) 11.347 * * [simplify]: iters left: 2 (410 enodes) 11.568 * * [simplify]: Extracting #0: cost 1 inf + 0 11.568 * * [simplify]: Extracting #1: cost 3 inf + 0 11.569 * * [simplify]: Extracting #2: cost 71 inf + 0 11.570 * * [simplify]: Extracting #3: cost 184 inf + 2 11.572 * * [simplify]: Extracting #4: cost 167 inf + 4086 11.581 * * [simplify]: Extracting #5: cost 65 inf + 22282 11.596 * * [simplify]: Extracting #6: cost 5 inf + 37790 11.612 * * [simplify]: Extracting #7: cost 0 inf + 39734 11.634 * [simplify]: Simplified to (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 11.634 * [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))))) 11.634 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 11.635 * [simplify]: Simplifying (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0) 11.635 * * [simplify]: iters left: 6 (8 enodes) 11.639 * * [simplify]: iters left: 5 (25 enodes) 11.646 * * [simplify]: iters left: 4 (34 enodes) 11.656 * * [simplify]: iters left: 3 (50 enodes) 11.667 * * [simplify]: iters left: 2 (54 enodes) 11.677 * * [simplify]: Extracting #0: cost 1 inf + 0 11.677 * * [simplify]: Extracting #1: cost 8 inf + 0 11.677 * * [simplify]: Extracting #2: cost 13 inf + 2 11.677 * * [simplify]: Extracting #3: cost 13 inf + 45 11.678 * * [simplify]: Extracting #4: cost 4 inf + 825 11.678 * * [simplify]: Extracting #5: cost 0 inf + 1337 11.679 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 11.679 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 11.679 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 11.679 * [simplify]: Simplifying (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0) 11.679 * * [simplify]: iters left: 6 (8 enodes) 11.683 * * [simplify]: iters left: 5 (25 enodes) 11.689 * * [simplify]: iters left: 4 (34 enodes) 11.698 * * [simplify]: iters left: 3 (50 enodes) 11.709 * * [simplify]: iters left: 2 (54 enodes) 11.719 * * [simplify]: Extracting #0: cost 1 inf + 0 11.720 * * [simplify]: Extracting #1: cost 8 inf + 0 11.720 * * [simplify]: Extracting #2: cost 13 inf + 2 11.720 * * [simplify]: Extracting #3: cost 13 inf + 45 11.720 * * [simplify]: Extracting #4: cost 4 inf + 825 11.721 * * [simplify]: Extracting #5: cost 0 inf + 1337 11.721 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 11.721 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 11.721 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))))> 11.721 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 11.721 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 11.722 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 11.722 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 11.722 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 11.722 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (hypot re im))))) re) 2.0))))> 11.722 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 11.722 * [simplify]: Simplifying (+ re im) 11.722 * * [simplify]: iters left: 2 (3 enodes) 11.723 * * [simplify]: iters left: 1 (10 enodes) 11.724 * * [simplify]: Extracting #0: cost 1 inf + 0 11.724 * * [simplify]: Extracting #1: cost 4 inf + 0 11.724 * * [simplify]: Extracting #2: cost 2 inf + 2 11.724 * * [simplify]: Extracting #3: cost 0 inf + 86 11.724 * [simplify]: Simplified to (+ im re) 11.724 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 11.724 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 11.724 * [simplify]: Simplifying (* 2 re) 11.724 * * [simplify]: iters left: 2 (3 enodes) 11.725 * * [simplify]: iters left: 1 (10 enodes) 11.727 * * [simplify]: Extracting #0: cost 1 inf + 0 11.727 * * [simplify]: Extracting #1: cost 4 inf + 0 11.727 * * [simplify]: Extracting #2: cost 2 inf + 2 11.727 * * [simplify]: Extracting #3: cost 0 inf + 86 11.727 * [simplify]: Simplified to (* 2 re) 11.727 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 11.727 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 11.727 * [simplify]: Simplifying 0 11.727 * * [simplify]: iters left: 0 (1 enodes) 11.728 * * [simplify]: Extracting #0: cost 1 inf + 0 11.728 * * [simplify]: Extracting #1: cost 0 inf + 1 11.728 * [simplify]: Simplified to 0 11.728 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 11.728 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 11.728 * [simplify]: Simplifying im 11.728 * * [simplify]: iters left: 0 (1 enodes) 11.728 * * [simplify]: Extracting #0: cost 1 inf + 0 11.728 * * [simplify]: Extracting #1: cost 0 inf + 1 11.728 * [simplify]: Simplified to im 11.728 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 11.728 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 11.728 * [simplify]: Simplifying re 11.729 * * [simplify]: iters left: 0 (1 enodes) 11.729 * * [simplify]: Extracting #0: cost 1 inf + 0 11.729 * * [simplify]: Extracting #1: cost 0 inf + 1 11.729 * [simplify]: Simplified to re 11.729 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0)))) 11.729 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 11.729 * [simplify]: Simplifying (* -1 re) 11.729 * * [simplify]: iters left: 2 (3 enodes) 11.730 * * [simplify]: iters left: 1 (11 enodes) 11.732 * * [simplify]: Extracting #0: cost 1 inf + 0 11.732 * * [simplify]: Extracting #1: cost 4 inf + 0 11.732 * * [simplify]: Extracting #2: cost 0 inf + 84 11.732 * [simplify]: Simplified to (- re) 11.732 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (- re) re) 2.0)))) 11.732 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 11.732 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 11.732 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 11.732 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 11.732 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 11.732 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 11.732 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 11.732 * [simplify]: Simplifying 0 11.732 * * [simplify]: iters left: 0 (1 enodes) 11.733 * * [simplify]: Extracting #0: cost 1 inf + 0 11.733 * * [simplify]: Extracting #1: cost 0 inf + 1 11.733 * [simplify]: Simplified to 0 11.733 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 11.733 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 11.733 * [simplify]: Simplifying im 11.733 * * [simplify]: iters left: 0 (1 enodes) 11.734 * * [simplify]: Extracting #0: cost 1 inf + 0 11.734 * * [simplify]: Extracting #1: cost 0 inf + 1 11.734 * [simplify]: Simplified to im 11.734 * [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)))) 11.734 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 11.734 * [simplify]: Simplifying re 11.734 * * [simplify]: iters left: 0 (1 enodes) 11.734 * * [simplify]: Extracting #0: cost 1 inf + 0 11.734 * * [simplify]: Extracting #1: cost 0 inf + 1 11.734 * [simplify]: Simplified to re 11.734 * [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)))) 11.734 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 11.734 * [simplify]: Simplifying (* -1 re) 11.734 * * [simplify]: iters left: 2 (3 enodes) 11.736 * * [simplify]: iters left: 1 (11 enodes) 11.738 * * [simplify]: Extracting #0: cost 1 inf + 0 11.738 * * [simplify]: Extracting #1: cost 4 inf + 0 11.738 * * [simplify]: Extracting #2: cost 0 inf + 84 11.738 * [simplify]: Simplified to (- re) 11.738 * [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)))) 11.738 * * * [progress]: adding candidates to table 12.803 * * [progress]: iteration 4 / 4 12.803 * * * [progress]: picking best candidate 12.898 * * * * [pick]: Picked # 12.898 * * * [progress]: localizing error 12.953 * * * [progress]: generating rewritten candidates 12.953 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 12.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) 12.996 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 13.054 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 13.060 * * * [progress]: generating series expansions 13.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 13.061 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re) into (+ (hypot re im) re) 13.061 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 13.061 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 13.061 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.061 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.061 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.061 * [taylor]: Taking taylor expansion of (* re re) in im 13.061 * [taylor]: Taking taylor expansion of re in im 13.061 * [backup-simplify]: Simplify re into re 13.061 * [taylor]: Taking taylor expansion of re in im 13.061 * [backup-simplify]: Simplify re into re 13.061 * [taylor]: Taking taylor expansion of (* im im) in im 13.061 * [taylor]: Taking taylor expansion of im in im 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.061 * [taylor]: Taking taylor expansion of im in im 13.061 * [backup-simplify]: Simplify 0 into 0 13.061 * [backup-simplify]: Simplify 1 into 1 13.061 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.062 * [backup-simplify]: Simplify (* 0 0) into 0 13.062 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.062 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.062 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.063 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.063 * [backup-simplify]: Simplify (+ 0 0) into 0 13.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.063 * [taylor]: Taking taylor expansion of re in im 13.063 * [backup-simplify]: Simplify re into re 13.063 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 13.063 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.064 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.064 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.064 * [taylor]: Taking taylor expansion of (* re re) in re 13.064 * [taylor]: Taking taylor expansion of re in re 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.064 * [taylor]: Taking taylor expansion of re in re 13.064 * [backup-simplify]: Simplify 0 into 0 13.064 * [backup-simplify]: Simplify 1 into 1 13.064 * [taylor]: Taking taylor expansion of (* im im) in re 13.064 * [taylor]: Taking taylor expansion of im in re 13.064 * [backup-simplify]: Simplify im into im 13.064 * [taylor]: Taking taylor expansion of im in re 13.064 * [backup-simplify]: Simplify im into im 13.064 * [backup-simplify]: Simplify (* 0 0) into 0 13.064 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.064 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.064 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.065 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.065 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.066 * [backup-simplify]: Simplify (+ 0 0) into 0 13.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.066 * [taylor]: Taking taylor expansion of re in re 13.066 * [backup-simplify]: Simplify 0 into 0 13.066 * [backup-simplify]: Simplify 1 into 1 13.066 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 13.066 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.066 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.066 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.066 * [taylor]: Taking taylor expansion of (* re re) in re 13.066 * [taylor]: Taking taylor expansion of re in re 13.066 * [backup-simplify]: Simplify 0 into 0 13.066 * [backup-simplify]: Simplify 1 into 1 13.066 * [taylor]: Taking taylor expansion of re in re 13.066 * [backup-simplify]: Simplify 0 into 0 13.066 * [backup-simplify]: Simplify 1 into 1 13.066 * [taylor]: Taking taylor expansion of (* im im) in re 13.066 * [taylor]: Taking taylor expansion of im in re 13.066 * [backup-simplify]: Simplify im into im 13.066 * [taylor]: Taking taylor expansion of im in re 13.066 * [backup-simplify]: Simplify im into im 13.066 * [backup-simplify]: Simplify (* 0 0) into 0 13.067 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.067 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.067 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.067 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.068 * [backup-simplify]: Simplify (+ 0 0) into 0 13.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.068 * [taylor]: Taking taylor expansion of re in re 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.068 * [backup-simplify]: Simplify (+ im 0) into im 13.068 * [taylor]: Taking taylor expansion of im in im 13.068 * [backup-simplify]: Simplify 0 into 0 13.068 * [backup-simplify]: Simplify 1 into 1 13.068 * [backup-simplify]: Simplify 0 into 0 13.069 * [backup-simplify]: Simplify (+ 0 1) into 1 13.069 * [taylor]: Taking taylor expansion of 1 in im 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify 1 into 1 13.069 * [backup-simplify]: Simplify 1 into 1 13.070 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.070 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.070 * [backup-simplify]: Simplify (+ 1 0) into 1 13.071 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.071 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 13.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 13.071 * [taylor]: Taking taylor expansion of 1/2 in im 13.071 * [backup-simplify]: Simplify 1/2 into 1/2 13.071 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.071 * [taylor]: Taking taylor expansion of im in im 13.071 * [backup-simplify]: Simplify 0 into 0 13.071 * [backup-simplify]: Simplify 1 into 1 13.072 * [backup-simplify]: Simplify (/ 1 1) into 1 13.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.073 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify 0 into 0 13.073 * [backup-simplify]: Simplify 0 into 0 13.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.075 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.076 * [backup-simplify]: Simplify (+ 0 0) into 0 13.076 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.076 * [backup-simplify]: Simplify (+ 0 0) into 0 13.076 * [taylor]: Taking taylor expansion of 0 in im 13.076 * [backup-simplify]: Simplify 0 into 0 13.076 * [backup-simplify]: Simplify 0 into 0 13.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.078 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify 0 into 0 13.078 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 13.079 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im))))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 13.079 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 13.079 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 13.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.079 * [taylor]: Taking taylor expansion of re in im 13.079 * [backup-simplify]: Simplify re into re 13.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.079 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.079 * [taylor]: Taking taylor expansion of re in im 13.079 * [backup-simplify]: Simplify re into re 13.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.079 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.079 * [taylor]: Taking taylor expansion of re in im 13.079 * [backup-simplify]: Simplify re into re 13.079 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.079 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.079 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.079 * [taylor]: Taking taylor expansion of im in im 13.080 * [backup-simplify]: Simplify 0 into 0 13.080 * [backup-simplify]: Simplify 1 into 1 13.080 * [backup-simplify]: Simplify (/ 1 1) into 1 13.080 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.080 * [taylor]: Taking taylor expansion of im in im 13.080 * [backup-simplify]: Simplify 0 into 0 13.080 * [backup-simplify]: Simplify 1 into 1 13.080 * [backup-simplify]: Simplify (/ 1 1) into 1 13.081 * [backup-simplify]: Simplify (* 1 1) into 1 13.081 * [backup-simplify]: Simplify (+ 0 1) into 1 13.082 * [backup-simplify]: Simplify (sqrt 1) into 1 13.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.084 * [backup-simplify]: Simplify (+ 0 0) into 0 13.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.085 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 13.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.085 * [taylor]: Taking taylor expansion of re in re 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify 1 into 1 13.085 * [backup-simplify]: Simplify (/ 1 1) into 1 13.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.085 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.085 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.085 * [taylor]: Taking taylor expansion of re in re 13.085 * [backup-simplify]: Simplify 0 into 0 13.085 * [backup-simplify]: Simplify 1 into 1 13.086 * [backup-simplify]: Simplify (/ 1 1) into 1 13.086 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.086 * [taylor]: Taking taylor expansion of re in re 13.086 * [backup-simplify]: Simplify 0 into 0 13.086 * [backup-simplify]: Simplify 1 into 1 13.086 * [backup-simplify]: Simplify (/ 1 1) into 1 13.086 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.086 * [taylor]: Taking taylor expansion of im in re 13.086 * [backup-simplify]: Simplify im into im 13.086 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.086 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.086 * [taylor]: Taking taylor expansion of im in re 13.086 * [backup-simplify]: Simplify im into im 13.087 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.087 * [backup-simplify]: Simplify (* 1 1) into 1 13.088 * [backup-simplify]: Simplify (+ 1 0) into 1 13.088 * [backup-simplify]: Simplify (sqrt 1) into 1 13.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.090 * [backup-simplify]: Simplify (+ 0 0) into 0 13.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.091 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 13.091 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.091 * [taylor]: Taking taylor expansion of re in re 13.091 * [backup-simplify]: Simplify 0 into 0 13.091 * [backup-simplify]: Simplify 1 into 1 13.092 * [backup-simplify]: Simplify (/ 1 1) into 1 13.092 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.092 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.092 * [taylor]: Taking taylor expansion of re in re 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify 1 into 1 13.092 * [backup-simplify]: Simplify (/ 1 1) into 1 13.092 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.092 * [taylor]: Taking taylor expansion of re in re 13.092 * [backup-simplify]: Simplify 0 into 0 13.092 * [backup-simplify]: Simplify 1 into 1 13.093 * [backup-simplify]: Simplify (/ 1 1) into 1 13.093 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.093 * [taylor]: Taking taylor expansion of im in re 13.093 * [backup-simplify]: Simplify im into im 13.093 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.093 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.093 * [taylor]: Taking taylor expansion of im in re 13.093 * [backup-simplify]: Simplify im into im 13.093 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.093 * [backup-simplify]: Simplify (* 1 1) into 1 13.094 * [backup-simplify]: Simplify (+ 1 0) into 1 13.094 * [backup-simplify]: Simplify (sqrt 1) into 1 13.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.096 * [backup-simplify]: Simplify (+ 0 0) into 0 13.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.098 * [backup-simplify]: Simplify (+ 1 1) into 2 13.098 * [taylor]: Taking taylor expansion of 2 in im 13.098 * [backup-simplify]: Simplify 2 into 2 13.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.099 * [backup-simplify]: Simplify (+ 0 0) into 0 13.099 * [taylor]: Taking taylor expansion of 0 in im 13.099 * [backup-simplify]: Simplify 0 into 0 13.099 * [backup-simplify]: Simplify 2 into 2 13.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.102 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.103 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.104 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.104 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 13.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 13.104 * [taylor]: Taking taylor expansion of 1/2 in im 13.104 * [backup-simplify]: Simplify 1/2 into 1/2 13.104 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.104 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.104 * [taylor]: Taking taylor expansion of im in im 13.104 * [backup-simplify]: Simplify 0 into 0 13.104 * [backup-simplify]: Simplify 1 into 1 13.105 * [backup-simplify]: Simplify (* 1 1) into 1 13.105 * [backup-simplify]: Simplify (/ 1 1) into 1 13.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.107 * [backup-simplify]: Simplify 0 into 0 13.107 * [backup-simplify]: Simplify 0 into 0 13.108 * [backup-simplify]: Simplify 0 into 0 13.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.112 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.112 * [backup-simplify]: Simplify (+ 0 0) into 0 13.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.113 * [backup-simplify]: Simplify (+ 0 0) into 0 13.113 * [taylor]: Taking taylor expansion of 0 in im 13.113 * [backup-simplify]: Simplify 0 into 0 13.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify 0 into 0 13.116 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 13.116 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 13.116 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 13.116 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 13.116 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.117 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.117 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.117 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.117 * [taylor]: Taking taylor expansion of -1 in im 13.117 * [backup-simplify]: Simplify -1 into -1 13.117 * [taylor]: Taking taylor expansion of re in im 13.117 * [backup-simplify]: Simplify re into re 13.117 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.117 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.117 * [taylor]: Taking taylor expansion of -1 in im 13.117 * [backup-simplify]: Simplify -1 into -1 13.117 * [taylor]: Taking taylor expansion of re in im 13.117 * [backup-simplify]: Simplify re into re 13.117 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.117 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.117 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.117 * [taylor]: Taking taylor expansion of -1 in im 13.117 * [backup-simplify]: Simplify -1 into -1 13.117 * [taylor]: Taking taylor expansion of im in im 13.117 * [backup-simplify]: Simplify 0 into 0 13.117 * [backup-simplify]: Simplify 1 into 1 13.118 * [backup-simplify]: Simplify (/ -1 1) into -1 13.118 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.118 * [taylor]: Taking taylor expansion of -1 in im 13.118 * [backup-simplify]: Simplify -1 into -1 13.118 * [taylor]: Taking taylor expansion of im in im 13.118 * [backup-simplify]: Simplify 0 into 0 13.118 * [backup-simplify]: Simplify 1 into 1 13.118 * [backup-simplify]: Simplify (/ -1 1) into -1 13.119 * [backup-simplify]: Simplify (* -1 -1) into 1 13.119 * [backup-simplify]: Simplify (+ 0 1) into 1 13.119 * [backup-simplify]: Simplify (sqrt 1) into 1 13.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.122 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.122 * [backup-simplify]: Simplify (+ 0 0) into 0 13.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.123 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.123 * [taylor]: Taking taylor expansion of re in im 13.123 * [backup-simplify]: Simplify re into re 13.123 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.123 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 13.123 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.123 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.123 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.123 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.123 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.123 * [taylor]: Taking taylor expansion of -1 in re 13.123 * [backup-simplify]: Simplify -1 into -1 13.123 * [taylor]: Taking taylor expansion of re in re 13.123 * [backup-simplify]: Simplify 0 into 0 13.123 * [backup-simplify]: Simplify 1 into 1 13.124 * [backup-simplify]: Simplify (/ -1 1) into -1 13.124 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.124 * [taylor]: Taking taylor expansion of -1 in re 13.124 * [backup-simplify]: Simplify -1 into -1 13.124 * [taylor]: Taking taylor expansion of re in re 13.124 * [backup-simplify]: Simplify 0 into 0 13.124 * [backup-simplify]: Simplify 1 into 1 13.124 * [backup-simplify]: Simplify (/ -1 1) into -1 13.124 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.124 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.124 * [taylor]: Taking taylor expansion of -1 in re 13.124 * [backup-simplify]: Simplify -1 into -1 13.124 * [taylor]: Taking taylor expansion of im in re 13.124 * [backup-simplify]: Simplify im into im 13.124 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.124 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.124 * [taylor]: Taking taylor expansion of -1 in re 13.124 * [backup-simplify]: Simplify -1 into -1 13.124 * [taylor]: Taking taylor expansion of im in re 13.124 * [backup-simplify]: Simplify im into im 13.124 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.125 * [backup-simplify]: Simplify (* -1 -1) into 1 13.125 * [backup-simplify]: Simplify (+ 1 0) into 1 13.126 * [backup-simplify]: Simplify (sqrt 1) into 1 13.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.129 * [backup-simplify]: Simplify (+ 0 0) into 0 13.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.130 * [taylor]: Taking taylor expansion of re in re 13.130 * [backup-simplify]: Simplify 0 into 0 13.130 * [backup-simplify]: Simplify 1 into 1 13.130 * [backup-simplify]: Simplify (/ 1 1) into 1 13.130 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 13.130 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.130 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.130 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.131 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.131 * [taylor]: Taking taylor expansion of -1 in re 13.131 * [backup-simplify]: Simplify -1 into -1 13.131 * [taylor]: Taking taylor expansion of re in re 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.131 * [backup-simplify]: Simplify (/ -1 1) into -1 13.131 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.131 * [taylor]: Taking taylor expansion of -1 in re 13.131 * [backup-simplify]: Simplify -1 into -1 13.131 * [taylor]: Taking taylor expansion of re in re 13.131 * [backup-simplify]: Simplify 0 into 0 13.131 * [backup-simplify]: Simplify 1 into 1 13.132 * [backup-simplify]: Simplify (/ -1 1) into -1 13.132 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.132 * [taylor]: Taking taylor expansion of -1 in re 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of im in re 13.132 * [backup-simplify]: Simplify im into im 13.132 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.132 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.132 * [taylor]: Taking taylor expansion of -1 in re 13.132 * [backup-simplify]: Simplify -1 into -1 13.132 * [taylor]: Taking taylor expansion of im in re 13.132 * [backup-simplify]: Simplify im into im 13.132 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.132 * [backup-simplify]: Simplify (* -1 -1) into 1 13.133 * [backup-simplify]: Simplify (+ 1 0) into 1 13.133 * [backup-simplify]: Simplify (sqrt 1) into 1 13.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.135 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.136 * [backup-simplify]: Simplify (+ 0 0) into 0 13.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.137 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.137 * [taylor]: Taking taylor expansion of re in re 13.137 * [backup-simplify]: Simplify 0 into 0 13.137 * [backup-simplify]: Simplify 1 into 1 13.138 * [backup-simplify]: Simplify (/ 1 1) into 1 13.138 * [backup-simplify]: Simplify (- 1) into -1 13.138 * [backup-simplify]: Simplify (+ 1 -1) into 0 13.139 * [taylor]: Taking taylor expansion of 0 in im 13.139 * [backup-simplify]: Simplify 0 into 0 13.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.140 * [backup-simplify]: Simplify (- 0) into 0 13.140 * [backup-simplify]: Simplify (+ 0 0) into 0 13.140 * [taylor]: Taking taylor expansion of 0 in im 13.140 * [backup-simplify]: Simplify 0 into 0 13.140 * [backup-simplify]: Simplify 0 into 0 13.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.149 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.149 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.151 * [backup-simplify]: Simplify (- 0) into 0 13.151 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 13.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 13.151 * [taylor]: Taking taylor expansion of 1/2 in im 13.151 * [backup-simplify]: Simplify 1/2 into 1/2 13.151 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.151 * [taylor]: Taking taylor expansion of im in im 13.151 * [backup-simplify]: Simplify 0 into 0 13.151 * [backup-simplify]: Simplify 1 into 1 13.152 * [backup-simplify]: Simplify (* 1 1) into 1 13.152 * [backup-simplify]: Simplify (/ 1 1) into 1 13.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 0 into 0 13.154 * [backup-simplify]: Simplify 0 into 0 13.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.157 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.157 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.158 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.158 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.158 * [backup-simplify]: Simplify (+ 0 0) into 0 13.159 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.160 * [backup-simplify]: Simplify (- 0) into 0 13.160 * [backup-simplify]: Simplify (+ 0 0) into 0 13.160 * [taylor]: Taking taylor expansion of 0 in im 13.160 * [backup-simplify]: Simplify 0 into 0 13.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * [backup-simplify]: Simplify 0 into 0 13.163 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 2) 13.163 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) into (pow (pow (hypot re im) 3) 1/4) 13.163 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in (re im) around 0 13.163 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in im 13.163 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in im 13.163 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in im 13.163 * [taylor]: Taking taylor expansion of 1/4 in im 13.163 * [backup-simplify]: Simplify 1/4 into 1/4 13.163 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in im 13.163 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in im 13.163 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.163 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.164 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.164 * [taylor]: Taking taylor expansion of (* re re) in im 13.164 * [taylor]: Taking taylor expansion of re in im 13.164 * [backup-simplify]: Simplify re into re 13.164 * [taylor]: Taking taylor expansion of re in im 13.164 * [backup-simplify]: Simplify re into re 13.164 * [taylor]: Taking taylor expansion of (* im im) in im 13.164 * [taylor]: Taking taylor expansion of im in im 13.164 * [backup-simplify]: Simplify 0 into 0 13.164 * [backup-simplify]: Simplify 1 into 1 13.164 * [taylor]: Taking taylor expansion of im in im 13.164 * [backup-simplify]: Simplify 0 into 0 13.164 * [backup-simplify]: Simplify 1 into 1 13.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.164 * [backup-simplify]: Simplify (* 0 0) into 0 13.164 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.165 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.165 * [backup-simplify]: Simplify (+ 0 0) into 0 13.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.166 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 13.166 * [backup-simplify]: Simplify (log (pow re 3)) into (log (pow re 3)) 13.166 * [backup-simplify]: Simplify (* 1/4 (log (pow re 3))) into (* 1/4 (log (pow re 3))) 13.166 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow re 3)))) into (pow (pow re 3) 1/4) 13.166 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in re 13.166 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in re 13.166 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in re 13.166 * [taylor]: Taking taylor expansion of 1/4 in re 13.166 * [backup-simplify]: Simplify 1/4 into 1/4 13.166 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in re 13.166 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in re 13.166 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.166 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.166 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.166 * [taylor]: Taking taylor expansion of (* re re) in re 13.166 * [taylor]: Taking taylor expansion of re in re 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify 1 into 1 13.166 * [taylor]: Taking taylor expansion of re in re 13.166 * [backup-simplify]: Simplify 0 into 0 13.166 * [backup-simplify]: Simplify 1 into 1 13.166 * [taylor]: Taking taylor expansion of (* im im) in re 13.166 * [taylor]: Taking taylor expansion of im in re 13.166 * [backup-simplify]: Simplify im into im 13.166 * [taylor]: Taking taylor expansion of im in re 13.167 * [backup-simplify]: Simplify im into im 13.167 * [backup-simplify]: Simplify (* 0 0) into 0 13.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.168 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.168 * [backup-simplify]: Simplify (+ 0 0) into 0 13.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.168 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.168 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3) 13.168 * [backup-simplify]: Simplify (log (pow im 3)) into (log (pow im 3)) 13.169 * [backup-simplify]: Simplify (* 1/4 (log (pow im 3))) into (* 1/4 (log (pow im 3))) 13.169 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 3)))) into (pow (pow im 3) 1/4) 13.169 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 3) 1/4) in re 13.169 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot re im) 3)))) in re 13.169 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot re im) 3))) in re 13.169 * [taylor]: Taking taylor expansion of 1/4 in re 13.169 * [backup-simplify]: Simplify 1/4 into 1/4 13.169 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 3)) in re 13.169 * [taylor]: Taking taylor expansion of (pow (hypot re im) 3) in re 13.169 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.169 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.169 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.169 * [taylor]: Taking taylor expansion of (* re re) in re 13.169 * [taylor]: Taking taylor expansion of re in re 13.169 * [backup-simplify]: Simplify 0 into 0 13.169 * [backup-simplify]: Simplify 1 into 1 13.169 * [taylor]: Taking taylor expansion of re in re 13.169 * [backup-simplify]: Simplify 0 into 0 13.169 * [backup-simplify]: Simplify 1 into 1 13.169 * [taylor]: Taking taylor expansion of (* im im) in re 13.169 * [taylor]: Taking taylor expansion of im in re 13.169 * [backup-simplify]: Simplify im into im 13.169 * [taylor]: Taking taylor expansion of im in re 13.169 * [backup-simplify]: Simplify im into im 13.170 * [backup-simplify]: Simplify (* 0 0) into 0 13.170 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.170 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.171 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.171 * [backup-simplify]: Simplify (+ 0 0) into 0 13.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.171 * [backup-simplify]: Simplify (* im (pow im 2)) into (pow im 3) 13.171 * [backup-simplify]: Simplify (log (pow im 3)) into (log (pow im 3)) 13.171 * [backup-simplify]: Simplify (* 1/4 (log (pow im 3))) into (* 1/4 (log (pow im 3))) 13.172 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow im 3)))) into (pow (pow im 3) 1/4) 13.172 * [taylor]: Taking taylor expansion of (pow (pow im 3) 1/4) in im 13.172 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow im 3)))) in im 13.172 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow im 3))) in im 13.172 * [taylor]: Taking taylor expansion of 1/4 in im 13.172 * [backup-simplify]: Simplify 1/4 into 1/4 13.172 * [taylor]: Taking taylor expansion of (log (pow im 3)) in im 13.172 * [taylor]: Taking taylor expansion of (pow im 3) in im 13.172 * [taylor]: Taking taylor expansion of im in im 13.172 * [backup-simplify]: Simplify 0 into 0 13.172 * [backup-simplify]: Simplify 1 into 1 13.172 * [backup-simplify]: Simplify (* 1 1) into 1 13.173 * [backup-simplify]: Simplify (* 1 1) into 1 13.173 * [backup-simplify]: Simplify (log 1) into 0 13.174 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 13.174 * [backup-simplify]: Simplify (* 1/4 (* 3 (log im))) into (* 3/4 (log im)) 13.174 * [backup-simplify]: Simplify (exp (* 3/4 (log im))) into (pow im 3/4) 13.174 * [backup-simplify]: Simplify (pow im 3/4) into (pow im 3/4) 13.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.174 * [backup-simplify]: Simplify (+ (* im 0) (* 0 (pow im 2))) into 0 13.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 3) 1)))) 1) into 0 13.175 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow im 3)))) into 0 13.176 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.176 * [taylor]: Taking taylor expansion of 0 in im 13.176 * [backup-simplify]: Simplify 0 into 0 13.176 * [backup-simplify]: Simplify 0 into 0 13.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.179 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 13.180 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 3 (log im)))) into 0 13.181 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 13.181 * [backup-simplify]: Simplify 0 into 0 13.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.182 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.183 * [backup-simplify]: Simplify (+ 1 0) into 1 13.183 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.184 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1 13.184 * [backup-simplify]: Simplify (+ (* im 1) (+ (* 0 0) (* (/ 1/2 im) (pow im 2)))) into (* 3/2 im) 13.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 3) 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 im)) 1)) (pow (pow im 3) 1)))) 2) into (/ 3/2 (pow im 2)) 13.186 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 3))))) into (* 3/8 (/ 1 (pow im 2))) 13.187 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 13.187 * [taylor]: Taking taylor expansion of (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) in im 13.187 * [taylor]: Taking taylor expansion of 3/8 in im 13.187 * [backup-simplify]: Simplify 3/8 into 3/8 13.187 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/4) in im 13.187 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 5))))) in im 13.187 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 5)))) in im 13.187 * [taylor]: Taking taylor expansion of 1/4 in im 13.187 * [backup-simplify]: Simplify 1/4 into 1/4 13.187 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 13.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 13.187 * [taylor]: Taking taylor expansion of (pow im 5) in im 13.187 * [taylor]: Taking taylor expansion of im in im 13.187 * [backup-simplify]: Simplify 0 into 0 13.187 * [backup-simplify]: Simplify 1 into 1 13.188 * [backup-simplify]: Simplify (* 1 1) into 1 13.188 * [backup-simplify]: Simplify (* 1 1) into 1 13.188 * [backup-simplify]: Simplify (* 1 1) into 1 13.189 * [backup-simplify]: Simplify (/ 1 1) into 1 13.189 * [backup-simplify]: Simplify (log 1) into 0 13.190 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 13.190 * [backup-simplify]: Simplify (* 1/4 (- (* 5 (log im)))) into (* -5/4 (log im)) 13.190 * [backup-simplify]: Simplify (exp (* -5/4 (log im))) into (pow im -5/4) 13.190 * [backup-simplify]: Simplify (* 3/8 (pow im -5/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 13.190 * [backup-simplify]: Simplify (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) into (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) 13.190 * [backup-simplify]: Simplify 0 into 0 13.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.195 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.195 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 13.196 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* 3 (log im))))) into 0 13.198 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.198 * [backup-simplify]: Simplify 0 into 0 13.199 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.200 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.201 * [backup-simplify]: Simplify (+ 0 0) into 0 13.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.201 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0 13.201 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 1) (+ (* (/ 1/2 im) 0) (* 0 (pow im 2))))) into 0 13.204 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3/2 im)) 1)) (pow (pow im 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 3) 1)))) 6) into 0 13.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 3)))))) into 0 13.207 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow im 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.207 * [taylor]: Taking taylor expansion of 0 in im 13.207 * [backup-simplify]: Simplify 0 into 0 13.207 * [backup-simplify]: Simplify 0 into 0 13.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.211 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.212 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 13.212 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 5 (log im))))) into 0 13.213 * [backup-simplify]: Simplify (* (exp (* -5/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 13.213 * [backup-simplify]: Simplify (+ (* 3/8 0) (* 0 (pow im -5/4))) into 0 13.213 * [backup-simplify]: Simplify 0 into 0 13.214 * [backup-simplify]: Simplify 0 into 0 13.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.221 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.221 * [backup-simplify]: Simplify (+ (* (- -3) (log im)) 0) into (* 3 (log im)) 13.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 3 (log im)))))) into 0 13.224 * [backup-simplify]: Simplify (* (exp (* 3/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.224 * [backup-simplify]: Simplify 0 into 0 13.225 * [backup-simplify]: Simplify (+ (* (* 3/8 (pow (/ 1 (pow im 5)) 1/4)) (pow (* 1 re) 2)) (pow im 3/4)) into (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 13.225 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) 13.225 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in (re im) around 0 13.225 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in im 13.225 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in im 13.225 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in im 13.225 * [taylor]: Taking taylor expansion of 1/4 in im 13.225 * [backup-simplify]: Simplify 1/4 into 1/4 13.225 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in im 13.225 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in im 13.225 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.225 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.225 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.225 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.225 * [taylor]: Taking taylor expansion of re in im 13.225 * [backup-simplify]: Simplify re into re 13.225 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.226 * [taylor]: Taking taylor expansion of re in im 13.226 * [backup-simplify]: Simplify re into re 13.226 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.226 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.226 * [taylor]: Taking taylor expansion of im in im 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 1 into 1 13.226 * [backup-simplify]: Simplify (/ 1 1) into 1 13.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.226 * [taylor]: Taking taylor expansion of im in im 13.226 * [backup-simplify]: Simplify 0 into 0 13.226 * [backup-simplify]: Simplify 1 into 1 13.227 * [backup-simplify]: Simplify (/ 1 1) into 1 13.227 * [backup-simplify]: Simplify (* 1 1) into 1 13.227 * [backup-simplify]: Simplify (+ 0 1) into 1 13.228 * [backup-simplify]: Simplify (sqrt 1) into 1 13.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.230 * [backup-simplify]: Simplify (+ 0 0) into 0 13.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.231 * [backup-simplify]: Simplify (* 1 1) into 1 13.232 * [backup-simplify]: Simplify (* 1 1) into 1 13.232 * [backup-simplify]: Simplify (log 1) into 0 13.233 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 13.233 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 13.233 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 13.233 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in re 13.233 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in re 13.233 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in re 13.233 * [taylor]: Taking taylor expansion of 1/4 in re 13.233 * [backup-simplify]: Simplify 1/4 into 1/4 13.233 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in re 13.233 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in re 13.233 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.233 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.233 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.233 * [taylor]: Taking taylor expansion of re in re 13.233 * [backup-simplify]: Simplify 0 into 0 13.233 * [backup-simplify]: Simplify 1 into 1 13.234 * [backup-simplify]: Simplify (/ 1 1) into 1 13.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.234 * [taylor]: Taking taylor expansion of re in re 13.234 * [backup-simplify]: Simplify 0 into 0 13.234 * [backup-simplify]: Simplify 1 into 1 13.234 * [backup-simplify]: Simplify (/ 1 1) into 1 13.234 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.234 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.234 * [taylor]: Taking taylor expansion of im in re 13.234 * [backup-simplify]: Simplify im into im 13.234 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.234 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.234 * [taylor]: Taking taylor expansion of im in re 13.234 * [backup-simplify]: Simplify im into im 13.234 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.235 * [backup-simplify]: Simplify (* 1 1) into 1 13.235 * [backup-simplify]: Simplify (+ 1 0) into 1 13.236 * [backup-simplify]: Simplify (sqrt 1) into 1 13.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.238 * [backup-simplify]: Simplify (+ 0 0) into 0 13.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.239 * [backup-simplify]: Simplify (* 1 1) into 1 13.239 * [backup-simplify]: Simplify (* 1 1) into 1 13.240 * [backup-simplify]: Simplify (log 1) into 0 13.240 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.240 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 13.240 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 13.241 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 3) 1/4) in re 13.241 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3)))) in re 13.241 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ 1 re) (/ 1 im)) 3))) in re 13.241 * [taylor]: Taking taylor expansion of 1/4 in re 13.241 * [backup-simplify]: Simplify 1/4 into 1/4 13.241 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 3)) in re 13.241 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 3) in re 13.241 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.241 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.241 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.241 * [taylor]: Taking taylor expansion of re in re 13.241 * [backup-simplify]: Simplify 0 into 0 13.241 * [backup-simplify]: Simplify 1 into 1 13.241 * [backup-simplify]: Simplify (/ 1 1) into 1 13.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.241 * [taylor]: Taking taylor expansion of re in re 13.241 * [backup-simplify]: Simplify 0 into 0 13.241 * [backup-simplify]: Simplify 1 into 1 13.242 * [backup-simplify]: Simplify (/ 1 1) into 1 13.242 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.242 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.242 * [taylor]: Taking taylor expansion of im in re 13.242 * [backup-simplify]: Simplify im into im 13.242 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.242 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.242 * [taylor]: Taking taylor expansion of im in re 13.242 * [backup-simplify]: Simplify im into im 13.242 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.243 * [backup-simplify]: Simplify (* 1 1) into 1 13.243 * [backup-simplify]: Simplify (+ 1 0) into 1 13.243 * [backup-simplify]: Simplify (sqrt 1) into 1 13.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.245 * [backup-simplify]: Simplify (+ 0 0) into 0 13.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.246 * [backup-simplify]: Simplify (* 1 1) into 1 13.246 * [backup-simplify]: Simplify (* 1 1) into 1 13.246 * [backup-simplify]: Simplify (log 1) into 0 13.247 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.247 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 13.247 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 13.247 * [taylor]: Taking taylor expansion of (pow re -3/4) in im 13.247 * [taylor]: Taking taylor expansion of (exp (* -3/4 (log re))) in im 13.247 * [taylor]: Taking taylor expansion of (* -3/4 (log re)) in im 13.247 * [taylor]: Taking taylor expansion of -3/4 in im 13.247 * [backup-simplify]: Simplify -3/4 into -3/4 13.247 * [taylor]: Taking taylor expansion of (log re) in im 13.247 * [taylor]: Taking taylor expansion of re in im 13.247 * [backup-simplify]: Simplify re into re 13.247 * [backup-simplify]: Simplify (log re) into (log re) 13.247 * [backup-simplify]: Simplify (* -3/4 (log re)) into (* -3/4 (log re)) 13.247 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 13.247 * [backup-simplify]: Simplify (pow re -3/4) into (pow re -3/4) 13.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.249 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log re))))) into 0 13.250 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.250 * [taylor]: Taking taylor expansion of 0 in im 13.250 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify 0 into 0 13.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 13.251 * [backup-simplify]: Simplify (+ (* -3/4 0) (* 0 (log re))) into 0 13.252 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.252 * [backup-simplify]: Simplify 0 into 0 13.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.254 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.254 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.254 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 13.255 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 3/2 (/ 1 (pow im 2))) 13.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 1)))) 2) into (/ 3/2 (pow im 2)) 13.256 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.257 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re)))))) into (* 3/8 (/ 1 (pow im 2))) 13.257 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 13.257 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 13.257 * [taylor]: Taking taylor expansion of 3/8 in im 13.257 * [backup-simplify]: Simplify 3/8 into 3/8 13.257 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 13.257 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 13.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 13.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 13.257 * [taylor]: Taking taylor expansion of 1/4 in im 13.257 * [backup-simplify]: Simplify 1/4 into 1/4 13.257 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 13.258 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 13.258 * [taylor]: Taking taylor expansion of (pow re 3) in im 13.258 * [taylor]: Taking taylor expansion of re in im 13.258 * [backup-simplify]: Simplify re into re 13.258 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.258 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 13.258 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 13.258 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 13.258 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 13.258 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 13.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.258 * [taylor]: Taking taylor expansion of im in im 13.258 * [backup-simplify]: Simplify 0 into 0 13.258 * [backup-simplify]: Simplify 1 into 1 13.258 * [backup-simplify]: Simplify (* 1 1) into 1 13.258 * [backup-simplify]: Simplify (/ 1 1) into 1 13.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.260 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.260 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 13.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 13.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 13.261 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 13.262 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.262 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 13.262 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 13.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 13.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 13.264 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 13.265 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.265 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 13.266 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 13.266 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 13.266 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 13.266 * [backup-simplify]: Simplify 0 into 0 13.266 * [backup-simplify]: Simplify 0 into 0 13.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 13.268 * [backup-simplify]: Simplify (+ (* -3/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 13.269 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.276 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.277 * [backup-simplify]: Simplify (+ 0 0) into 0 13.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 13.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 13.283 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.283 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re))))))) into 0 13.286 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.287 * [taylor]: Taking taylor expansion of 0 in im 13.287 * [backup-simplify]: Simplify 0 into 0 13.287 * [backup-simplify]: Simplify 0 into 0 13.287 * [backup-simplify]: Simplify (pow (/ 1 re) -3/4) into (pow (/ 1 re) -3/4) 13.287 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) 13.287 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in (re im) around 0 13.287 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in im 13.287 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in im 13.287 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in im 13.287 * [taylor]: Taking taylor expansion of 1/4 in im 13.287 * [backup-simplify]: Simplify 1/4 into 1/4 13.287 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in im 13.287 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in im 13.287 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.287 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.287 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.287 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.287 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.287 * [taylor]: Taking taylor expansion of -1 in im 13.288 * [backup-simplify]: Simplify -1 into -1 13.288 * [taylor]: Taking taylor expansion of re in im 13.288 * [backup-simplify]: Simplify re into re 13.288 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.288 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.288 * [taylor]: Taking taylor expansion of -1 in im 13.288 * [backup-simplify]: Simplify -1 into -1 13.288 * [taylor]: Taking taylor expansion of re in im 13.288 * [backup-simplify]: Simplify re into re 13.288 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.288 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.288 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.288 * [taylor]: Taking taylor expansion of -1 in im 13.288 * [backup-simplify]: Simplify -1 into -1 13.288 * [taylor]: Taking taylor expansion of im in im 13.288 * [backup-simplify]: Simplify 0 into 0 13.288 * [backup-simplify]: Simplify 1 into 1 13.289 * [backup-simplify]: Simplify (/ -1 1) into -1 13.289 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.289 * [taylor]: Taking taylor expansion of -1 in im 13.289 * [backup-simplify]: Simplify -1 into -1 13.289 * [taylor]: Taking taylor expansion of im in im 13.289 * [backup-simplify]: Simplify 0 into 0 13.289 * [backup-simplify]: Simplify 1 into 1 13.289 * [backup-simplify]: Simplify (/ -1 1) into -1 13.290 * [backup-simplify]: Simplify (* -1 -1) into 1 13.290 * [backup-simplify]: Simplify (+ 0 1) into 1 13.290 * [backup-simplify]: Simplify (sqrt 1) into 1 13.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.293 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.293 * [backup-simplify]: Simplify (+ 0 0) into 0 13.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.295 * [backup-simplify]: Simplify (* 1 1) into 1 13.295 * [backup-simplify]: Simplify (* 1 1) into 1 13.295 * [backup-simplify]: Simplify (log 1) into 0 13.296 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 13.296 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 13.296 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 13.296 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in re 13.296 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in re 13.296 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in re 13.296 * [taylor]: Taking taylor expansion of 1/4 in re 13.296 * [backup-simplify]: Simplify 1/4 into 1/4 13.296 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in re 13.296 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in re 13.296 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.296 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.296 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.296 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.297 * [taylor]: Taking taylor expansion of -1 in re 13.297 * [backup-simplify]: Simplify -1 into -1 13.297 * [taylor]: Taking taylor expansion of re in re 13.297 * [backup-simplify]: Simplify 0 into 0 13.297 * [backup-simplify]: Simplify 1 into 1 13.297 * [backup-simplify]: Simplify (/ -1 1) into -1 13.297 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.297 * [taylor]: Taking taylor expansion of -1 in re 13.297 * [backup-simplify]: Simplify -1 into -1 13.297 * [taylor]: Taking taylor expansion of re in re 13.297 * [backup-simplify]: Simplify 0 into 0 13.297 * [backup-simplify]: Simplify 1 into 1 13.298 * [backup-simplify]: Simplify (/ -1 1) into -1 13.298 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.298 * [taylor]: Taking taylor expansion of -1 in re 13.298 * [backup-simplify]: Simplify -1 into -1 13.298 * [taylor]: Taking taylor expansion of im in re 13.298 * [backup-simplify]: Simplify im into im 13.298 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.298 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.298 * [taylor]: Taking taylor expansion of -1 in re 13.298 * [backup-simplify]: Simplify -1 into -1 13.298 * [taylor]: Taking taylor expansion of im in re 13.298 * [backup-simplify]: Simplify im into im 13.298 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.299 * [backup-simplify]: Simplify (* -1 -1) into 1 13.299 * [backup-simplify]: Simplify (+ 1 0) into 1 13.300 * [backup-simplify]: Simplify (sqrt 1) into 1 13.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.302 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.302 * [backup-simplify]: Simplify (+ 0 0) into 0 13.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.304 * [backup-simplify]: Simplify (* 1 1) into 1 13.304 * [backup-simplify]: Simplify (* 1 1) into 1 13.304 * [backup-simplify]: Simplify (log 1) into 0 13.305 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.305 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 13.305 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 13.305 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 3) 1/4) in re 13.305 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3)))) in re 13.305 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow (hypot (/ -1 re) (/ -1 im)) 3))) in re 13.305 * [taylor]: Taking taylor expansion of 1/4 in re 13.305 * [backup-simplify]: Simplify 1/4 into 1/4 13.305 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 3)) in re 13.305 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 3) in re 13.305 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.305 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.305 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.305 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.305 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.305 * [taylor]: Taking taylor expansion of -1 in re 13.305 * [backup-simplify]: Simplify -1 into -1 13.305 * [taylor]: Taking taylor expansion of re in re 13.305 * [backup-simplify]: Simplify 0 into 0 13.306 * [backup-simplify]: Simplify 1 into 1 13.306 * [backup-simplify]: Simplify (/ -1 1) into -1 13.306 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.306 * [taylor]: Taking taylor expansion of -1 in re 13.306 * [backup-simplify]: Simplify -1 into -1 13.306 * [taylor]: Taking taylor expansion of re in re 13.306 * [backup-simplify]: Simplify 0 into 0 13.306 * [backup-simplify]: Simplify 1 into 1 13.307 * [backup-simplify]: Simplify (/ -1 1) into -1 13.307 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.307 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.307 * [taylor]: Taking taylor expansion of -1 in re 13.307 * [backup-simplify]: Simplify -1 into -1 13.307 * [taylor]: Taking taylor expansion of im in re 13.307 * [backup-simplify]: Simplify im into im 13.307 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.307 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.307 * [taylor]: Taking taylor expansion of -1 in re 13.307 * [backup-simplify]: Simplify -1 into -1 13.307 * [taylor]: Taking taylor expansion of im in re 13.307 * [backup-simplify]: Simplify im into im 13.307 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.308 * [backup-simplify]: Simplify (* -1 -1) into 1 13.308 * [backup-simplify]: Simplify (+ 1 0) into 1 13.309 * [backup-simplify]: Simplify (sqrt 1) into 1 13.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.311 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.312 * [backup-simplify]: Simplify (+ 0 0) into 0 13.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.313 * [backup-simplify]: Simplify (* 1 1) into 1 13.313 * [backup-simplify]: Simplify (* 1 1) into 1 13.314 * [backup-simplify]: Simplify (log 1) into 0 13.314 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.314 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log re)))) into (* -3/4 (log re)) 13.314 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 13.314 * [taylor]: Taking taylor expansion of (pow re -3/4) in im 13.314 * [taylor]: Taking taylor expansion of (exp (* -3/4 (log re))) in im 13.315 * [taylor]: Taking taylor expansion of (* -3/4 (log re)) in im 13.315 * [taylor]: Taking taylor expansion of -3/4 in im 13.315 * [backup-simplify]: Simplify -3/4 into -3/4 13.315 * [taylor]: Taking taylor expansion of (log re) in im 13.315 * [taylor]: Taking taylor expansion of re in im 13.315 * [backup-simplify]: Simplify re into re 13.315 * [backup-simplify]: Simplify (log re) into (log re) 13.315 * [backup-simplify]: Simplify (* -3/4 (log re)) into (* -3/4 (log re)) 13.315 * [backup-simplify]: Simplify (exp (* -3/4 (log re))) into (pow re -3/4) 13.315 * [backup-simplify]: Simplify (pow re -3/4) into (pow re -3/4) 13.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.318 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.318 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 3 (log re))))) into 0 13.319 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.319 * [taylor]: Taking taylor expansion of 0 in im 13.319 * [backup-simplify]: Simplify 0 into 0 13.319 * [backup-simplify]: Simplify 0 into 0 13.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 13.321 * [backup-simplify]: Simplify (+ (* -3/4 0) (* 0 (log re))) into 0 13.322 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.322 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.325 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.326 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.327 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 13.327 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (* 3/2 (/ 1 (pow im 2))) 13.329 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 1)))) 2) into (/ 3/2 (pow im 2)) 13.330 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.330 * [backup-simplify]: Simplify (+ (* 1/4 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re)))))) into (* 3/8 (/ 1 (pow im 2))) 13.331 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)))) into (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) 13.331 * [taylor]: Taking taylor expansion of (* 3/8 (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2)))) in im 13.331 * [taylor]: Taking taylor expansion of 3/8 in im 13.331 * [backup-simplify]: Simplify 3/8 into 3/8 13.331 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 3)) 1/4) (/ 1 (pow im 2))) in im 13.331 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 3)) 1/4) in im 13.331 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow re 3))))) in im 13.331 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow re 3)))) in im 13.331 * [taylor]: Taking taylor expansion of 1/4 in im 13.331 * [backup-simplify]: Simplify 1/4 into 1/4 13.331 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 3))) in im 13.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in im 13.331 * [taylor]: Taking taylor expansion of (pow re 3) in im 13.331 * [taylor]: Taking taylor expansion of re in im 13.331 * [backup-simplify]: Simplify re into re 13.332 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.332 * [backup-simplify]: Simplify (* re (pow re 2)) into (pow re 3) 13.332 * [backup-simplify]: Simplify (/ 1 (pow re 3)) into (/ 1 (pow re 3)) 13.332 * [backup-simplify]: Simplify (log (/ 1 (pow re 3))) into (log (/ 1 (pow re 3))) 13.332 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow re 3)))) into (* 1/4 (log (/ 1 (pow re 3)))) 13.332 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow re 3))))) into (pow (/ 1 (pow re 3)) 1/4) 13.332 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.332 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.332 * [taylor]: Taking taylor expansion of im in im 13.332 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify 1 into 1 13.333 * [backup-simplify]: Simplify (* 1 1) into 1 13.333 * [backup-simplify]: Simplify (/ 1 1) into 1 13.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.336 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.336 * [backup-simplify]: Simplify (+ (* re 0) (* 0 (pow re 2))) into 0 13.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))))) into 0 13.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 1) into 0 13.337 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 (pow re 3))))) into 0 13.338 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.338 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 13.339 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 (pow re 2)))) into 0 13.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 3)) (/ 0 (pow re 3))) (* 0 (/ 0 (pow re 3))))) into 0 13.340 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 3)) 1)))) 2) into 0 13.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 3)))))) into 0 13.341 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 (pow re 3))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.342 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 13.342 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 3)) 1/4) 0) (* 0 1)) into 0 13.342 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 3)) 1/4) 1) into (pow (/ 1 (pow re 3)) 1/4) 13.343 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 3)) 1/4)))) into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 13.344 * [backup-simplify]: Simplify (+ (* -3/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 13.345 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.345 * [backup-simplify]: Simplify 0 into 0 13.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.347 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.347 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.347 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.347 * [backup-simplify]: Simplify (+ 0 0) into 0 13.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 13.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 13.351 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 3/2 (/ 1 (pow im 2)))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.351 * [backup-simplify]: Simplify (+ (* (- 3) (log re)) 0) into (- (* 3 (log re))) 13.352 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 3/2 (pow im 2))) (+ (* 0 0) (* 0 (- (* 3 (log re))))))) into 0 13.353 * [backup-simplify]: Simplify (* (exp (* -3/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 3/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.353 * [taylor]: Taking taylor expansion of 0 in im 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -3/4) into (pow (/ -1 re) -3/4) 13.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 13.353 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) into (hypot re im) 13.353 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 13.353 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.353 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.353 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.353 * [taylor]: Taking taylor expansion of (* re re) in im 13.353 * [taylor]: Taking taylor expansion of re in im 13.353 * [backup-simplify]: Simplify re into re 13.353 * [taylor]: Taking taylor expansion of re in im 13.353 * [backup-simplify]: Simplify re into re 13.353 * [taylor]: Taking taylor expansion of (* im im) in im 13.353 * [taylor]: Taking taylor expansion of im in im 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.354 * [taylor]: Taking taylor expansion of im in im 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.354 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.354 * [backup-simplify]: Simplify (* 0 0) into 0 13.354 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.354 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.354 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.355 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.355 * [backup-simplify]: Simplify (+ 0 0) into 0 13.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.355 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.355 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.355 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.355 * [taylor]: Taking taylor expansion of (* re re) in re 13.355 * [taylor]: Taking taylor expansion of re in re 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 1 into 1 13.355 * [taylor]: Taking taylor expansion of re in re 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 1 into 1 13.355 * [taylor]: Taking taylor expansion of (* im im) in re 13.355 * [taylor]: Taking taylor expansion of im in re 13.355 * [backup-simplify]: Simplify im into im 13.355 * [taylor]: Taking taylor expansion of im in re 13.355 * [backup-simplify]: Simplify im into im 13.355 * [backup-simplify]: Simplify (* 0 0) into 0 13.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.356 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.356 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.356 * [backup-simplify]: Simplify (+ 0 0) into 0 13.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.356 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.356 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.356 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.356 * [taylor]: Taking taylor expansion of (* re re) in re 13.356 * [taylor]: Taking taylor expansion of re in re 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify 1 into 1 13.356 * [taylor]: Taking taylor expansion of re in re 13.357 * [backup-simplify]: Simplify 0 into 0 13.357 * [backup-simplify]: Simplify 1 into 1 13.357 * [taylor]: Taking taylor expansion of (* im im) in re 13.357 * [taylor]: Taking taylor expansion of im in re 13.357 * [backup-simplify]: Simplify im into im 13.357 * [taylor]: Taking taylor expansion of im in re 13.357 * [backup-simplify]: Simplify im into im 13.357 * [backup-simplify]: Simplify (* 0 0) into 0 13.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.357 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.357 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.357 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.357 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.358 * [backup-simplify]: Simplify (+ 0 0) into 0 13.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.358 * [taylor]: Taking taylor expansion of im in im 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [taylor]: Taking taylor expansion of 0 in im 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.359 * [backup-simplify]: Simplify (+ 1 0) into 1 13.360 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.360 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 13.360 * [taylor]: Taking taylor expansion of 1/2 in im 13.360 * [backup-simplify]: Simplify 1/2 into 1/2 13.360 * [taylor]: Taking taylor expansion of im in im 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify 1 into 1 13.360 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.362 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.362 * [backup-simplify]: Simplify (+ 0 0) into 0 13.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.362 * [taylor]: Taking taylor expansion of 0 in im 13.362 * [backup-simplify]: Simplify 0 into 0 13.362 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 13.363 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (* (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (hypot (/ 1 re) (/ 1 im)) 13.363 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 13.363 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.363 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.363 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.363 * [taylor]: Taking taylor expansion of re in im 13.363 * [backup-simplify]: Simplify re into re 13.363 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.363 * [taylor]: Taking taylor expansion of re in im 13.363 * [backup-simplify]: Simplify re into re 13.363 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.363 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.363 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.363 * [taylor]: Taking taylor expansion of im in im 13.363 * [backup-simplify]: Simplify 0 into 0 13.363 * [backup-simplify]: Simplify 1 into 1 13.363 * [backup-simplify]: Simplify (/ 1 1) into 1 13.363 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.363 * [taylor]: Taking taylor expansion of im in im 13.363 * [backup-simplify]: Simplify 0 into 0 13.364 * [backup-simplify]: Simplify 1 into 1 13.364 * [backup-simplify]: Simplify (/ 1 1) into 1 13.364 * [backup-simplify]: Simplify (* 1 1) into 1 13.364 * [backup-simplify]: Simplify (+ 0 1) into 1 13.364 * [backup-simplify]: Simplify (sqrt 1) into 1 13.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.366 * [backup-simplify]: Simplify (+ 0 0) into 0 13.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.366 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.366 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.366 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.366 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.366 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.366 * [taylor]: Taking taylor expansion of re in re 13.366 * [backup-simplify]: Simplify 0 into 0 13.367 * [backup-simplify]: Simplify 1 into 1 13.367 * [backup-simplify]: Simplify (/ 1 1) into 1 13.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.367 * [taylor]: Taking taylor expansion of re in re 13.367 * [backup-simplify]: Simplify 0 into 0 13.367 * [backup-simplify]: Simplify 1 into 1 13.367 * [backup-simplify]: Simplify (/ 1 1) into 1 13.367 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.367 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.367 * [taylor]: Taking taylor expansion of im in re 13.367 * [backup-simplify]: Simplify im into im 13.367 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.367 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.367 * [taylor]: Taking taylor expansion of im in re 13.367 * [backup-simplify]: Simplify im into im 13.367 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.367 * [backup-simplify]: Simplify (* 1 1) into 1 13.368 * [backup-simplify]: Simplify (+ 1 0) into 1 13.368 * [backup-simplify]: Simplify (sqrt 1) into 1 13.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.370 * [backup-simplify]: Simplify (+ 0 0) into 0 13.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.371 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.371 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.371 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.371 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.371 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.371 * [taylor]: Taking taylor expansion of re in re 13.371 * [backup-simplify]: Simplify 0 into 0 13.371 * [backup-simplify]: Simplify 1 into 1 13.372 * [backup-simplify]: Simplify (/ 1 1) into 1 13.372 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.372 * [taylor]: Taking taylor expansion of re in re 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify 1 into 1 13.372 * [backup-simplify]: Simplify (/ 1 1) into 1 13.372 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.372 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.372 * [taylor]: Taking taylor expansion of im in re 13.372 * [backup-simplify]: Simplify im into im 13.372 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.372 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.372 * [taylor]: Taking taylor expansion of im in re 13.372 * [backup-simplify]: Simplify im into im 13.372 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.373 * [backup-simplify]: Simplify (* 1 1) into 1 13.373 * [backup-simplify]: Simplify (+ 1 0) into 1 13.374 * [backup-simplify]: Simplify (sqrt 1) into 1 13.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.376 * [backup-simplify]: Simplify (+ 0 0) into 0 13.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.377 * [taylor]: Taking taylor expansion of 1 in im 13.377 * [backup-simplify]: Simplify 1 into 1 13.377 * [taylor]: Taking taylor expansion of 0 in im 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [backup-simplify]: Simplify 1 into 1 13.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.380 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.380 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.381 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.381 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.381 * [taylor]: Taking taylor expansion of 1/2 in im 13.381 * [backup-simplify]: Simplify 1/2 into 1/2 13.381 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.381 * [taylor]: Taking taylor expansion of im in im 13.381 * [backup-simplify]: Simplify 0 into 0 13.381 * [backup-simplify]: Simplify 1 into 1 13.381 * [backup-simplify]: Simplify (* 1 1) into 1 13.382 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.386 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.387 * [backup-simplify]: Simplify (+ 0 0) into 0 13.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.387 * [taylor]: Taking taylor expansion of 0 in im 13.387 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 13.390 * [backup-simplify]: Simplify (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (* (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (hypot (/ -1 re) (/ -1 im)) 13.390 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 13.390 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.390 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.390 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.390 * [taylor]: Taking taylor expansion of -1 in im 13.390 * [backup-simplify]: Simplify -1 into -1 13.390 * [taylor]: Taking taylor expansion of re in im 13.390 * [backup-simplify]: Simplify re into re 13.390 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.390 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.390 * [taylor]: Taking taylor expansion of -1 in im 13.390 * [backup-simplify]: Simplify -1 into -1 13.390 * [taylor]: Taking taylor expansion of re in im 13.390 * [backup-simplify]: Simplify re into re 13.390 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.390 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.390 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.391 * [taylor]: Taking taylor expansion of -1 in im 13.391 * [backup-simplify]: Simplify -1 into -1 13.391 * [taylor]: Taking taylor expansion of im in im 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.391 * [backup-simplify]: Simplify (/ -1 1) into -1 13.391 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.391 * [taylor]: Taking taylor expansion of -1 in im 13.391 * [backup-simplify]: Simplify -1 into -1 13.391 * [taylor]: Taking taylor expansion of im in im 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify 1 into 1 13.392 * [backup-simplify]: Simplify (/ -1 1) into -1 13.392 * [backup-simplify]: Simplify (* -1 -1) into 1 13.393 * [backup-simplify]: Simplify (+ 0 1) into 1 13.393 * [backup-simplify]: Simplify (sqrt 1) into 1 13.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.396 * [backup-simplify]: Simplify (+ 0 0) into 0 13.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.396 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.396 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.396 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.396 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.396 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.396 * [taylor]: Taking taylor expansion of -1 in re 13.396 * [backup-simplify]: Simplify -1 into -1 13.396 * [taylor]: Taking taylor expansion of re in re 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 1 into 1 13.397 * [backup-simplify]: Simplify (/ -1 1) into -1 13.397 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.397 * [taylor]: Taking taylor expansion of -1 in re 13.397 * [backup-simplify]: Simplify -1 into -1 13.397 * [taylor]: Taking taylor expansion of re in re 13.397 * [backup-simplify]: Simplify 0 into 0 13.397 * [backup-simplify]: Simplify 1 into 1 13.398 * [backup-simplify]: Simplify (/ -1 1) into -1 13.398 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.398 * [taylor]: Taking taylor expansion of -1 in re 13.398 * [backup-simplify]: Simplify -1 into -1 13.398 * [taylor]: Taking taylor expansion of im in re 13.398 * [backup-simplify]: Simplify im into im 13.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.398 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.398 * [taylor]: Taking taylor expansion of -1 in re 13.398 * [backup-simplify]: Simplify -1 into -1 13.398 * [taylor]: Taking taylor expansion of im in re 13.398 * [backup-simplify]: Simplify im into im 13.398 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.404 * [backup-simplify]: Simplify (* -1 -1) into 1 13.405 * [backup-simplify]: Simplify (+ 1 0) into 1 13.405 * [backup-simplify]: Simplify (sqrt 1) into 1 13.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.408 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.408 * [backup-simplify]: Simplify (+ 0 0) into 0 13.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.409 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.409 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.409 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.409 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.409 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.409 * [taylor]: Taking taylor expansion of -1 in re 13.409 * [backup-simplify]: Simplify -1 into -1 13.409 * [taylor]: Taking taylor expansion of re in re 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 1 into 1 13.410 * [backup-simplify]: Simplify (/ -1 1) into -1 13.410 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.410 * [taylor]: Taking taylor expansion of -1 in re 13.410 * [backup-simplify]: Simplify -1 into -1 13.410 * [taylor]: Taking taylor expansion of re in re 13.410 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify 1 into 1 13.410 * [backup-simplify]: Simplify (/ -1 1) into -1 13.410 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.410 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.410 * [taylor]: Taking taylor expansion of -1 in re 13.410 * [backup-simplify]: Simplify -1 into -1 13.410 * [taylor]: Taking taylor expansion of im in re 13.410 * [backup-simplify]: Simplify im into im 13.411 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.411 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.411 * [taylor]: Taking taylor expansion of -1 in re 13.411 * [backup-simplify]: Simplify -1 into -1 13.411 * [taylor]: Taking taylor expansion of im in re 13.411 * [backup-simplify]: Simplify im into im 13.411 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.411 * [backup-simplify]: Simplify (* -1 -1) into 1 13.411 * [backup-simplify]: Simplify (+ 1 0) into 1 13.412 * [backup-simplify]: Simplify (sqrt 1) into 1 13.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.414 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.414 * [backup-simplify]: Simplify (+ 0 0) into 0 13.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.415 * [taylor]: Taking taylor expansion of 1 in im 13.415 * [backup-simplify]: Simplify 1 into 1 13.415 * [taylor]: Taking taylor expansion of 0 in im 13.415 * [backup-simplify]: Simplify 0 into 0 13.415 * [backup-simplify]: Simplify 1 into 1 13.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.418 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.418 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.420 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 13.420 * [taylor]: Taking taylor expansion of 1/2 in im 13.420 * [backup-simplify]: Simplify 1/2 into 1/2 13.420 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.420 * [taylor]: Taking taylor expansion of im in im 13.420 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify 1 into 1 13.420 * [backup-simplify]: Simplify (* 1 1) into 1 13.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.425 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.425 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.425 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.425 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.426 * [backup-simplify]: Simplify (+ 0 0) into 0 13.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.426 * [taylor]: Taking taylor expansion of 0 in im 13.426 * [backup-simplify]: Simplify 0 into 0 13.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 13.429 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 13.429 * [backup-simplify]: Simplify (sqrt (sqrt (hypot re im))) into (pow (hypot re im) 1/4) 13.429 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/4) in (re im) around 0 13.429 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in im 13.429 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in im 13.429 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in im 13.429 * [taylor]: Taking taylor expansion of 1/4 in im 13.429 * [backup-simplify]: Simplify 1/4 into 1/4 13.429 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 13.429 * [taylor]: Taking taylor expansion of (hypot re im) in im 13.429 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.429 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 13.429 * [taylor]: Taking taylor expansion of (* re re) in im 13.429 * [taylor]: Taking taylor expansion of re in im 13.429 * [backup-simplify]: Simplify re into re 13.429 * [taylor]: Taking taylor expansion of re in im 13.429 * [backup-simplify]: Simplify re into re 13.429 * [taylor]: Taking taylor expansion of (* im im) in im 13.429 * [taylor]: Taking taylor expansion of im in im 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 1 into 1 13.429 * [taylor]: Taking taylor expansion of im in im 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 1 into 1 13.429 * [backup-simplify]: Simplify (* re re) into (pow re 2) 13.430 * [backup-simplify]: Simplify (* 0 0) into 0 13.430 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 13.430 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 13.430 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 13.431 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.431 * [backup-simplify]: Simplify (+ 0 0) into 0 13.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 13.431 * [backup-simplify]: Simplify (log re) into (log re) 13.431 * [backup-simplify]: Simplify (* 1/4 (log re)) into (* 1/4 (log re)) 13.431 * [backup-simplify]: Simplify (exp (* 1/4 (log re))) into (pow re 1/4) 13.431 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 13.431 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 13.431 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 13.431 * [taylor]: Taking taylor expansion of 1/4 in re 13.431 * [backup-simplify]: Simplify 1/4 into 1/4 13.431 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 13.431 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.432 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.432 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.432 * [taylor]: Taking taylor expansion of (* re re) in re 13.432 * [taylor]: Taking taylor expansion of re in re 13.432 * [backup-simplify]: Simplify 0 into 0 13.432 * [backup-simplify]: Simplify 1 into 1 13.432 * [taylor]: Taking taylor expansion of re in re 13.432 * [backup-simplify]: Simplify 0 into 0 13.432 * [backup-simplify]: Simplify 1 into 1 13.432 * [taylor]: Taking taylor expansion of (* im im) in re 13.432 * [taylor]: Taking taylor expansion of im in re 13.432 * [backup-simplify]: Simplify im into im 13.432 * [taylor]: Taking taylor expansion of im in re 13.432 * [backup-simplify]: Simplify im into im 13.432 * [backup-simplify]: Simplify (* 0 0) into 0 13.432 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.432 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.433 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.433 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.434 * [backup-simplify]: Simplify (+ 0 0) into 0 13.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.434 * [backup-simplify]: Simplify (log im) into (log im) 13.434 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 13.434 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 13.434 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/4) in re 13.434 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot re im)))) in re 13.434 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot re im))) in re 13.434 * [taylor]: Taking taylor expansion of 1/4 in re 13.434 * [backup-simplify]: Simplify 1/4 into 1/4 13.434 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 13.434 * [taylor]: Taking taylor expansion of (hypot re im) in re 13.434 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 13.434 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 13.434 * [taylor]: Taking taylor expansion of (* re re) in re 13.435 * [taylor]: Taking taylor expansion of re in re 13.435 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify 1 into 1 13.435 * [taylor]: Taking taylor expansion of re in re 13.435 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify 1 into 1 13.435 * [taylor]: Taking taylor expansion of (* im im) in re 13.435 * [taylor]: Taking taylor expansion of im in re 13.435 * [backup-simplify]: Simplify im into im 13.435 * [taylor]: Taking taylor expansion of im in re 13.435 * [backup-simplify]: Simplify im into im 13.435 * [backup-simplify]: Simplify (* 0 0) into 0 13.435 * [backup-simplify]: Simplify (* im im) into (pow im 2) 13.435 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 13.435 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 13.436 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 13.436 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 13.437 * [backup-simplify]: Simplify (+ 0 0) into 0 13.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 13.437 * [backup-simplify]: Simplify (log im) into (log im) 13.437 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 13.437 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 13.437 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 13.437 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 13.437 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 13.437 * [taylor]: Taking taylor expansion of 1/4 in im 13.437 * [backup-simplify]: Simplify 1/4 into 1/4 13.437 * [taylor]: Taking taylor expansion of (log im) in im 13.437 * [taylor]: Taking taylor expansion of im in im 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 1 into 1 13.438 * [backup-simplify]: Simplify (log 1) into 0 13.438 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 13.438 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 13.438 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 13.438 * [backup-simplify]: Simplify (pow im 1/4) into (pow im 1/4) 13.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 13.439 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 13.440 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 13.440 * [taylor]: Taking taylor expansion of 0 in im 13.440 * [backup-simplify]: Simplify 0 into 0 13.440 * [backup-simplify]: Simplify 0 into 0 13.442 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.442 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 13.443 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 13.444 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 13.444 * [backup-simplify]: Simplify 0 into 0 13.445 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 13.445 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 13.445 * [backup-simplify]: Simplify (+ 1 0) into 1 13.446 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 13.447 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 13.448 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/8 (/ 1 (pow im 2))) 13.449 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 13.449 * [taylor]: Taking taylor expansion of (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) in im 13.449 * [taylor]: Taking taylor expansion of 1/8 in im 13.449 * [backup-simplify]: Simplify 1/8 into 1/8 13.449 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 13.449 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 13.449 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 13.449 * [taylor]: Taking taylor expansion of 1/4 in im 13.449 * [backup-simplify]: Simplify 1/4 into 1/4 13.449 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 13.449 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 13.449 * [taylor]: Taking taylor expansion of (pow im 7) in im 13.449 * [taylor]: Taking taylor expansion of im in im 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 1 into 1 13.450 * [backup-simplify]: Simplify (* 1 1) into 1 13.450 * [backup-simplify]: Simplify (* 1 1) into 1 13.450 * [backup-simplify]: Simplify (* 1 1) into 1 13.451 * [backup-simplify]: Simplify (* 1 1) into 1 13.451 * [backup-simplify]: Simplify (/ 1 1) into 1 13.451 * [backup-simplify]: Simplify (log 1) into 0 13.452 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 13.452 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 13.452 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 13.452 * [backup-simplify]: Simplify (* 1/8 (pow im -7/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 13.452 * [backup-simplify]: Simplify (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) into (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) 13.452 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 13.454 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 13.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log im)))) into 0 13.456 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.456 * [backup-simplify]: Simplify 0 into 0 13.458 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.458 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 13.459 * [backup-simplify]: Simplify (+ 0 0) into 0 13.459 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 13.460 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 13.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 13.462 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.462 * [taylor]: Taking taylor expansion of 0 in im 13.462 * [backup-simplify]: Simplify 0 into 0 13.462 * [backup-simplify]: Simplify 0 into 0 13.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.465 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 13.466 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 7 (log im))))) into 0 13.466 * [backup-simplify]: Simplify (* (exp (* -7/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 13.466 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 (pow im -7/4))) into 0 13.466 * [backup-simplify]: Simplify 0 into 0 13.466 * [backup-simplify]: Simplify 0 into 0 13.469 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.470 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 13.470 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 13.471 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (/ 1 (pow im 7)) 1/4)) (pow (* 1 re) 2)) (pow im 1/4)) into (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) 13.472 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 re) (/ 1 im)))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/4) 13.472 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in (re im) around 0 13.472 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in im 13.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in im 13.472 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in im 13.472 * [taylor]: Taking taylor expansion of 1/4 in im 13.472 * [backup-simplify]: Simplify 1/4 into 1/4 13.472 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 13.472 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 13.472 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.472 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 13.472 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 13.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.472 * [taylor]: Taking taylor expansion of re in im 13.472 * [backup-simplify]: Simplify re into re 13.472 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.472 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.472 * [taylor]: Taking taylor expansion of re in im 13.472 * [backup-simplify]: Simplify re into re 13.472 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.472 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 13.472 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.472 * [taylor]: Taking taylor expansion of im in im 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 1 into 1 13.472 * [backup-simplify]: Simplify (/ 1 1) into 1 13.472 * [taylor]: Taking taylor expansion of (/ 1 im) in im 13.472 * [taylor]: Taking taylor expansion of im in im 13.473 * [backup-simplify]: Simplify 0 into 0 13.473 * [backup-simplify]: Simplify 1 into 1 13.473 * [backup-simplify]: Simplify (/ 1 1) into 1 13.473 * [backup-simplify]: Simplify (* 1 1) into 1 13.473 * [backup-simplify]: Simplify (+ 0 1) into 1 13.474 * [backup-simplify]: Simplify (sqrt 1) into 1 13.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.475 * [backup-simplify]: Simplify (+ 0 0) into 0 13.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.476 * [backup-simplify]: Simplify (log 1) into 0 13.476 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 13.476 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 13.476 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 13.476 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 13.476 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 13.476 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 13.476 * [taylor]: Taking taylor expansion of 1/4 in re 13.476 * [backup-simplify]: Simplify 1/4 into 1/4 13.476 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 13.476 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.476 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.476 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.476 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.476 * [taylor]: Taking taylor expansion of re in re 13.476 * [backup-simplify]: Simplify 0 into 0 13.476 * [backup-simplify]: Simplify 1 into 1 13.477 * [backup-simplify]: Simplify (/ 1 1) into 1 13.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.477 * [taylor]: Taking taylor expansion of re in re 13.477 * [backup-simplify]: Simplify 0 into 0 13.477 * [backup-simplify]: Simplify 1 into 1 13.477 * [backup-simplify]: Simplify (/ 1 1) into 1 13.477 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.477 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.477 * [taylor]: Taking taylor expansion of im in re 13.477 * [backup-simplify]: Simplify im into im 13.477 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.477 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.477 * [taylor]: Taking taylor expansion of im in re 13.477 * [backup-simplify]: Simplify im into im 13.477 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.477 * [backup-simplify]: Simplify (* 1 1) into 1 13.477 * [backup-simplify]: Simplify (+ 1 0) into 1 13.478 * [backup-simplify]: Simplify (sqrt 1) into 1 13.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.479 * [backup-simplify]: Simplify (+ 0 0) into 0 13.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.480 * [backup-simplify]: Simplify (log 1) into 0 13.480 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.480 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 13.480 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 13.480 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/4) in re 13.480 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ 1 re) (/ 1 im))))) in re 13.480 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ 1 re) (/ 1 im)))) in re 13.480 * [taylor]: Taking taylor expansion of 1/4 in re 13.480 * [backup-simplify]: Simplify 1/4 into 1/4 13.480 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 13.480 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 13.480 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 13.480 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 13.480 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 13.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.480 * [taylor]: Taking taylor expansion of re in re 13.480 * [backup-simplify]: Simplify 0 into 0 13.481 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (/ 1 1) into 1 13.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 13.481 * [taylor]: Taking taylor expansion of re in re 13.481 * [backup-simplify]: Simplify 0 into 0 13.481 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (/ 1 1) into 1 13.481 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 13.481 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.481 * [taylor]: Taking taylor expansion of im in re 13.481 * [backup-simplify]: Simplify im into im 13.481 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.481 * [taylor]: Taking taylor expansion of (/ 1 im) in re 13.481 * [taylor]: Taking taylor expansion of im in re 13.481 * [backup-simplify]: Simplify im into im 13.481 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 13.481 * [backup-simplify]: Simplify (* 1 1) into 1 13.482 * [backup-simplify]: Simplify (+ 1 0) into 1 13.482 * [backup-simplify]: Simplify (sqrt 1) into 1 13.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.483 * [backup-simplify]: Simplify (+ 0 0) into 0 13.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.484 * [backup-simplify]: Simplify (log 1) into 0 13.484 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.484 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 13.484 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 13.485 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 13.485 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 13.485 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 13.485 * [taylor]: Taking taylor expansion of -1/4 in im 13.485 * [backup-simplify]: Simplify -1/4 into -1/4 13.485 * [taylor]: Taking taylor expansion of (log re) in im 13.485 * [taylor]: Taking taylor expansion of re in im 13.485 * [backup-simplify]: Simplify re into re 13.485 * [backup-simplify]: Simplify (log re) into (log re) 13.485 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 13.485 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 13.485 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 13.486 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.486 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 13.487 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.487 * [taylor]: Taking taylor expansion of 0 in im 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 13.487 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 13.488 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.490 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 13.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.491 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 13.492 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.492 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 13.493 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 13.493 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 13.493 * [taylor]: Taking taylor expansion of 1/8 in im 13.493 * [backup-simplify]: Simplify 1/8 into 1/8 13.493 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 13.493 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 13.493 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 13.493 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 13.493 * [taylor]: Taking taylor expansion of 1/4 in im 13.493 * [backup-simplify]: Simplify 1/4 into 1/4 13.493 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 13.493 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.493 * [taylor]: Taking taylor expansion of re in im 13.493 * [backup-simplify]: Simplify re into re 13.493 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.493 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 13.493 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 13.493 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 13.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.493 * [taylor]: Taking taylor expansion of im in im 13.493 * [backup-simplify]: Simplify 0 into 0 13.493 * [backup-simplify]: Simplify 1 into 1 13.493 * [backup-simplify]: Simplify (* 1 1) into 1 13.494 * [backup-simplify]: Simplify (/ 1 1) into 1 13.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 13.496 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 13.496 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 13.497 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 13.498 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 13.499 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 13.499 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.500 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 13.500 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 13.500 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 13.501 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 13.501 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify 0 into 0 13.502 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 13.502 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 13.503 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.503 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 13.505 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 13.505 * [backup-simplify]: Simplify (+ 0 0) into 0 13.506 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.508 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.508 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.508 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 13.514 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.514 * [taylor]: Taking taylor expansion of 0 in im 13.514 * [backup-simplify]: Simplify 0 into 0 13.514 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify (pow (/ 1 re) -1/4) into (pow (/ 1 re) -1/4) 13.515 * [backup-simplify]: Simplify (sqrt (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/4) 13.515 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in (re im) around 0 13.515 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in im 13.515 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in im 13.515 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in im 13.515 * [taylor]: Taking taylor expansion of 1/4 in im 13.515 * [backup-simplify]: Simplify 1/4 into 1/4 13.515 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 13.515 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 13.515 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.515 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 13.515 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 13.515 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.515 * [taylor]: Taking taylor expansion of -1 in im 13.515 * [backup-simplify]: Simplify -1 into -1 13.515 * [taylor]: Taking taylor expansion of re in im 13.515 * [backup-simplify]: Simplify re into re 13.515 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.515 * [taylor]: Taking taylor expansion of (/ -1 re) in im 13.515 * [taylor]: Taking taylor expansion of -1 in im 13.515 * [backup-simplify]: Simplify -1 into -1 13.515 * [taylor]: Taking taylor expansion of re in im 13.515 * [backup-simplify]: Simplify re into re 13.515 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 13.515 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 13.515 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.515 * [taylor]: Taking taylor expansion of -1 in im 13.515 * [backup-simplify]: Simplify -1 into -1 13.515 * [taylor]: Taking taylor expansion of im in im 13.515 * [backup-simplify]: Simplify 0 into 0 13.515 * [backup-simplify]: Simplify 1 into 1 13.515 * [backup-simplify]: Simplify (/ -1 1) into -1 13.515 * [taylor]: Taking taylor expansion of (/ -1 im) in im 13.515 * [taylor]: Taking taylor expansion of -1 in im 13.516 * [backup-simplify]: Simplify -1 into -1 13.516 * [taylor]: Taking taylor expansion of im in im 13.516 * [backup-simplify]: Simplify 0 into 0 13.516 * [backup-simplify]: Simplify 1 into 1 13.516 * [backup-simplify]: Simplify (/ -1 1) into -1 13.516 * [backup-simplify]: Simplify (* -1 -1) into 1 13.516 * [backup-simplify]: Simplify (+ 0 1) into 1 13.517 * [backup-simplify]: Simplify (sqrt 1) into 1 13.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.518 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.518 * [backup-simplify]: Simplify (+ 0 0) into 0 13.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.519 * [backup-simplify]: Simplify (log 1) into 0 13.519 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 13.519 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 13.519 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 13.519 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 13.519 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 13.519 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 13.519 * [taylor]: Taking taylor expansion of 1/4 in re 13.519 * [backup-simplify]: Simplify 1/4 into 1/4 13.519 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 13.519 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.520 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.520 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.520 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.520 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.520 * [taylor]: Taking taylor expansion of -1 in re 13.520 * [backup-simplify]: Simplify -1 into -1 13.520 * [taylor]: Taking taylor expansion of re in re 13.520 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify 1 into 1 13.520 * [backup-simplify]: Simplify (/ -1 1) into -1 13.520 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.520 * [taylor]: Taking taylor expansion of -1 in re 13.520 * [backup-simplify]: Simplify -1 into -1 13.520 * [taylor]: Taking taylor expansion of re in re 13.520 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify 1 into 1 13.520 * [backup-simplify]: Simplify (/ -1 1) into -1 13.520 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.520 * [taylor]: Taking taylor expansion of -1 in re 13.520 * [backup-simplify]: Simplify -1 into -1 13.520 * [taylor]: Taking taylor expansion of im in re 13.520 * [backup-simplify]: Simplify im into im 13.520 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.520 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.520 * [taylor]: Taking taylor expansion of -1 in re 13.520 * [backup-simplify]: Simplify -1 into -1 13.521 * [taylor]: Taking taylor expansion of im in re 13.521 * [backup-simplify]: Simplify im into im 13.521 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.521 * [backup-simplify]: Simplify (* -1 -1) into 1 13.521 * [backup-simplify]: Simplify (+ 1 0) into 1 13.521 * [backup-simplify]: Simplify (sqrt 1) into 1 13.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.523 * [backup-simplify]: Simplify (+ 0 0) into 0 13.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.524 * [backup-simplify]: Simplify (log 1) into 0 13.524 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.524 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 13.524 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 13.524 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/4) in re 13.524 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (hypot (/ -1 re) (/ -1 im))))) in re 13.524 * [taylor]: Taking taylor expansion of (* 1/4 (log (hypot (/ -1 re) (/ -1 im)))) in re 13.524 * [taylor]: Taking taylor expansion of 1/4 in re 13.524 * [backup-simplify]: Simplify 1/4 into 1/4 13.524 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 13.524 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 13.524 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 13.524 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 13.524 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 13.524 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.524 * [taylor]: Taking taylor expansion of -1 in re 13.524 * [backup-simplify]: Simplify -1 into -1 13.524 * [taylor]: Taking taylor expansion of re in re 13.524 * [backup-simplify]: Simplify 0 into 0 13.524 * [backup-simplify]: Simplify 1 into 1 13.525 * [backup-simplify]: Simplify (/ -1 1) into -1 13.525 * [taylor]: Taking taylor expansion of (/ -1 re) in re 13.525 * [taylor]: Taking taylor expansion of -1 in re 13.525 * [backup-simplify]: Simplify -1 into -1 13.525 * [taylor]: Taking taylor expansion of re in re 13.525 * [backup-simplify]: Simplify 0 into 0 13.525 * [backup-simplify]: Simplify 1 into 1 13.525 * [backup-simplify]: Simplify (/ -1 1) into -1 13.525 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 13.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.525 * [taylor]: Taking taylor expansion of -1 in re 13.525 * [backup-simplify]: Simplify -1 into -1 13.525 * [taylor]: Taking taylor expansion of im in re 13.525 * [backup-simplify]: Simplify im into im 13.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.525 * [taylor]: Taking taylor expansion of (/ -1 im) in re 13.525 * [taylor]: Taking taylor expansion of -1 in re 13.525 * [backup-simplify]: Simplify -1 into -1 13.525 * [taylor]: Taking taylor expansion of im in re 13.525 * [backup-simplify]: Simplify im into im 13.525 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 13.525 * [backup-simplify]: Simplify (* -1 -1) into 1 13.526 * [backup-simplify]: Simplify (+ 1 0) into 1 13.526 * [backup-simplify]: Simplify (sqrt 1) into 1 13.526 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 13.527 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 13.527 * [backup-simplify]: Simplify (+ 0 0) into 0 13.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 13.528 * [backup-simplify]: Simplify (log 1) into 0 13.528 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.528 * [backup-simplify]: Simplify (* 1/4 (- (log re))) into (* -1/4 (log re)) 13.528 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 13.529 * [taylor]: Taking taylor expansion of (pow re -1/4) in im 13.529 * [taylor]: Taking taylor expansion of (exp (* -1/4 (log re))) in im 13.529 * [taylor]: Taking taylor expansion of (* -1/4 (log re)) in im 13.529 * [taylor]: Taking taylor expansion of -1/4 in im 13.529 * [backup-simplify]: Simplify -1/4 into -1/4 13.529 * [taylor]: Taking taylor expansion of (log re) in im 13.529 * [taylor]: Taking taylor expansion of re in im 13.529 * [backup-simplify]: Simplify re into re 13.529 * [backup-simplify]: Simplify (log re) into (log re) 13.529 * [backup-simplify]: Simplify (* -1/4 (log re)) into (* -1/4 (log re)) 13.529 * [backup-simplify]: Simplify (exp (* -1/4 (log re))) into (pow re -1/4) 13.529 * [backup-simplify]: Simplify (pow re -1/4) into (pow re -1/4) 13.530 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 13.530 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log re)))) into 0 13.531 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.531 * [taylor]: Taking taylor expansion of 0 in im 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify 0 into 0 13.531 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 13.532 * [backup-simplify]: Simplify (+ (* -1/4 0) (* 0 (log re))) into 0 13.532 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 13.532 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 13.535 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 13.535 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 13.536 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 13.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 13.537 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.538 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/8 (/ 1 (pow im 2))) 13.538 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)))) into (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) 13.538 * [taylor]: Taking taylor expansion of (* 1/8 (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2)))) in im 13.538 * [taylor]: Taking taylor expansion of 1/8 in im 13.538 * [backup-simplify]: Simplify 1/8 into 1/8 13.538 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/4) (/ 1 (pow im 2))) in im 13.538 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/4) in im 13.538 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 re)))) in im 13.538 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 re))) in im 13.538 * [taylor]: Taking taylor expansion of 1/4 in im 13.538 * [backup-simplify]: Simplify 1/4 into 1/4 13.538 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 13.538 * [taylor]: Taking taylor expansion of (/ 1 re) in im 13.538 * [taylor]: Taking taylor expansion of re in im 13.538 * [backup-simplify]: Simplify re into re 13.538 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 13.538 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 13.538 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 re))) into (* 1/4 (log (/ 1 re))) 13.539 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 re)))) into (pow (/ 1 re) 1/4) 13.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 13.539 * [taylor]: Taking taylor expansion of (pow im 2) in im 13.539 * [taylor]: Taking taylor expansion of im in im 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [backup-simplify]: Simplify 1 into 1 13.539 * [backup-simplify]: Simplify (* 1 1) into 1 13.539 * [backup-simplify]: Simplify (/ 1 1) into 1 13.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 13.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 13.542 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 re)))) into 0 13.542 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 13.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 13.543 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 13.544 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 13.545 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.546 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (+ (* 0 0) (* 0 1))) into 0 13.546 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/4) 0) (* 0 1)) into 0 13.546 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/4) 1) into (pow (/ 1 re) 1/4) 13.547 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/4)))) into 0 13.547 * [backup-simplify]: Simplify 0 into 0 13.547 * [backup-simplify]: Simplify 0 into 0 13.549 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 13.550 * [backup-simplify]: Simplify (+ (* -1/4 0) (+ (* 0 0) (* 0 (log re)))) into 0 13.551 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.551 * [backup-simplify]: Simplify 0 into 0 13.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.555 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 13.555 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.555 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 13.555 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 13.555 * [backup-simplify]: Simplify (+ 0 0) into 0 13.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 13.560 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 13.560 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 13.561 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 13.563 * [backup-simplify]: Simplify (* (exp (* -1/4 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/8 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 13.563 * [taylor]: Taking taylor expansion of 0 in im 13.563 * [backup-simplify]: Simplify 0 into 0 13.563 * [backup-simplify]: Simplify 0 into 0 13.563 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/4) into (pow (/ -1 re) -1/4) 13.563 * * * [progress]: simplifying candidates 13.563 * * * * [progress]: [ 1 / 145 ] simplifiying candidate # 13.563 * * * * [progress]: [ 2 / 145 ] simplifiying candidate # 13.564 * * * * [progress]: [ 3 / 145 ] simplifiying candidate # 13.564 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 13.564 * * [simplify]: iters left: 3 (5 enodes) 13.566 * * [simplify]: iters left: 2 (15 enodes) 13.570 * * [simplify]: Extracting #0: cost 1 inf + 0 13.570 * * [simplify]: Extracting #1: cost 3 inf + 0 13.570 * * [simplify]: Extracting #2: cost 5 inf + 0 13.570 * * [simplify]: Extracting #3: cost 8 inf + 0 13.570 * * [simplify]: Extracting #4: cost 6 inf + 2 13.570 * * [simplify]: Extracting #5: cost 0 inf + 584 13.571 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 13.571 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (fma (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) re) 2.0)))) 13.571 * * * * [progress]: [ 4 / 145 ] simplifiying candidate # 13.571 * [simplify]: Simplifying (* (exp (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) (exp re)) 13.571 * * [simplify]: iters left: 6 (10 enodes) 13.576 * * [simplify]: iters left: 5 (39 enodes) 13.584 * * [simplify]: iters left: 4 (56 enodes) 13.592 * * [simplify]: iters left: 3 (85 enodes) 13.606 * * [simplify]: iters left: 2 (156 enodes) 13.654 * * [simplify]: iters left: 1 (348 enodes) 13.757 * * [simplify]: Extracting #0: cost 1 inf + 0 13.757 * * [simplify]: Extracting #1: cost 34 inf + 0 13.757 * * [simplify]: Extracting #2: cost 114 inf + 0 13.758 * * [simplify]: Extracting #3: cost 208 inf + 74 13.759 * * [simplify]: Extracting #4: cost 242 inf + 764 13.760 * * [simplify]: Extracting #5: cost 203 inf + 8355 13.767 * * [simplify]: Extracting #6: cost 107 inf + 39116 13.779 * * [simplify]: Extracting #7: cost 24 inf + 93027 13.802 * * [simplify]: Extracting #8: cost 2 inf + 114091 13.832 * * [simplify]: Extracting #9: cost 0 inf + 115757 13.850 * * [simplify]: Extracting #10: cost 0 inf + 115495 13.867 * [simplify]: Simplified to (exp (+ re (hypot re im))) 13.867 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (log (exp (+ re (hypot re im)))) 2.0)))) 13.867 * * * * [progress]: [ 5 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 6 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 7 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 8 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 9 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 10 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 11 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 12 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 13 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 14 / 145 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) re))) 2.0))))> 13.868 * * * * [progress]: [ 15 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 16 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 17 / 145 ] simplifiying candidate # 13.868 * * * * [progress]: [ 18 / 145 ] simplifiying candidate # 13.868 * [simplify]: Simplifying (sqrt (hypot re im)) 13.868 * * [simplify]: iters left: 2 (4 enodes) 13.869 * * [simplify]: iters left: 1 (12 enodes) 13.871 * * [simplify]: Extracting #0: cost 1 inf + 0 13.871 * * [simplify]: Extracting #1: cost 3 inf + 0 13.871 * * [simplify]: Extracting #2: cost 6 inf + 0 13.871 * * [simplify]: Extracting #3: cost 4 inf + 2 13.871 * * [simplify]: Extracting #4: cost 0 inf + 310 13.871 * [simplify]: Simplified to (sqrt (hypot re im)) 13.871 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) (+ 1/2 1))) re) 2.0)))) 13.871 * [simplify]: Simplifying (+ 1/2 1) 13.871 * * [simplify]: iters left: 2 (3 enodes) 13.874 * * [simplify]: iters left: 1 (13 enodes) 13.876 * * [simplify]: Extracting #0: cost 1 inf + 0 13.876 * * [simplify]: Extracting #1: cost 0 inf + 1 13.876 * [simplify]: Simplified to 3/2 13.876 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3/2)) re) 2.0)))) 13.876 * * * * [progress]: [ 19 / 145 ] simplifiying candidate # 13.876 * [simplify]: Simplifying (hypot re im) 13.876 * * [simplify]: iters left: 1 (3 enodes) 13.877 * * [simplify]: Extracting #0: cost 1 inf + 0 13.877 * * [simplify]: Extracting #1: cost 4 inf + 0 13.877 * * [simplify]: Extracting #2: cost 2 inf + 2 13.877 * * [simplify]: Extracting #3: cost 0 inf + 116 13.877 * [simplify]: Simplified to (hypot re im) 13.877 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) (+ (/ 1/2 2) 1/2))) re) 2.0)))) 13.877 * [simplify]: Simplifying (+ (/ 1/2 2) 1/2) 13.877 * * [simplify]: iters left: 4 (4 enodes) 13.880 * * [simplify]: iters left: 3 (15 enodes) 13.883 * * [simplify]: Extracting #0: cost 1 inf + 0 13.883 * * [simplify]: Extracting #1: cost 0 inf + 1 13.883 * [simplify]: Simplified to 3/4 13.883 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) 3/4)) re) 2.0)))) 13.883 * * * * [progress]: [ 20 / 145 ] simplifiying candidate # 13.883 * [simplify]: Simplifying (hypot re im) 13.883 * * [simplify]: iters left: 1 (3 enodes) 13.884 * * [simplify]: Extracting #0: cost 1 inf + 0 13.884 * * [simplify]: Extracting #1: cost 4 inf + 0 13.884 * * [simplify]: Extracting #2: cost 2 inf + 2 13.884 * * [simplify]: Extracting #3: cost 0 inf + 116 13.884 * [simplify]: Simplified to (hypot re im) 13.884 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) (+ (/ 1/2 2) (/ 1 2)))) re) 2.0)))) 13.884 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1 2)) 13.884 * * [simplify]: iters left: 4 (6 enodes) 13.888 * * [simplify]: iters left: 3 (23 enodes) 13.892 * * [simplify]: iters left: 2 (25 enodes) 13.896 * * [simplify]: Extracting #0: cost 1 inf + 0 13.896 * * [simplify]: Extracting #1: cost 0 inf + 1 13.896 * [simplify]: Simplified to 3/4 13.896 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) 3/4)) re) 2.0)))) 13.896 * * * * [progress]: [ 21 / 145 ] simplifiying candidate # 13.896 * [simplify]: Simplifying (sqrt (hypot re im)) 13.896 * * [simplify]: iters left: 2 (4 enodes) 13.897 * * [simplify]: iters left: 1 (12 enodes) 13.899 * * [simplify]: Extracting #0: cost 1 inf + 0 13.899 * * [simplify]: Extracting #1: cost 3 inf + 0 13.899 * * [simplify]: Extracting #2: cost 6 inf + 0 13.899 * * [simplify]: Extracting #3: cost 4 inf + 2 13.899 * * [simplify]: Extracting #4: cost 0 inf + 310 13.899 * [simplify]: Simplified to (sqrt (hypot re im)) 13.899 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) (+ (/ 1 2) 1))) re) 2.0)))) 13.902 * [simplify]: Simplifying (+ (/ 1 2) 1) 13.902 * * [simplify]: iters left: 4 (4 enodes) 13.904 * * [simplify]: iters left: 3 (17 enodes) 13.907 * * [simplify]: iters left: 2 (19 enodes) 13.910 * * [simplify]: Extracting #0: cost 1 inf + 0 13.910 * * [simplify]: Extracting #1: cost 0 inf + 1 13.910 * [simplify]: Simplified to 3/2 13.910 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) 3/2)) re) 2.0)))) 13.910 * * * * [progress]: [ 22 / 145 ] simplifiying candidate # 13.910 * [simplify]: Simplifying (hypot re im) 13.910 * * [simplify]: iters left: 1 (3 enodes) 13.911 * * [simplify]: Extracting #0: cost 1 inf + 0 13.911 * * [simplify]: Extracting #1: cost 4 inf + 0 13.911 * * [simplify]: Extracting #2: cost 2 inf + 2 13.911 * * [simplify]: Extracting #3: cost 0 inf + 116 13.911 * [simplify]: Simplified to (hypot re im) 13.911 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) (+ (/ (/ 1 2) 2) 1/2))) re) 2.0)))) 13.911 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) 1/2) 13.911 * * [simplify]: iters left: 6 (6 enodes) 13.916 * * [simplify]: iters left: 5 (26 enodes) 13.920 * * [simplify]: iters left: 4 (30 enodes) 13.924 * * [simplify]: Extracting #0: cost 1 inf + 0 13.924 * * [simplify]: Extracting #1: cost 0 inf + 1 13.924 * [simplify]: Simplified to 3/4 13.925 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) 3/4)) re) 2.0)))) 13.925 * * * * [progress]: [ 23 / 145 ] simplifiying candidate # 13.925 * [simplify]: Simplifying (hypot re im) 13.925 * * [simplify]: iters left: 1 (3 enodes) 13.925 * * [simplify]: Extracting #0: cost 1 inf + 0 13.925 * * [simplify]: Extracting #1: cost 4 inf + 0 13.925 * * [simplify]: Extracting #2: cost 2 inf + 2 13.926 * * [simplify]: Extracting #3: cost 0 inf + 116 13.926 * [simplify]: Simplified to (hypot re im) 13.926 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) (+ (/ (/ 1 2) 2) (/ 1 2)))) re) 2.0)))) 13.926 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1 2)) 13.926 * * [simplify]: iters left: 6 (5 enodes) 13.929 * * [simplify]: iters left: 5 (23 enodes) 13.933 * * [simplify]: iters left: 4 (28 enodes) 13.938 * * [simplify]: Extracting #0: cost 1 inf + 0 13.938 * * [simplify]: Extracting #1: cost 0 inf + 1 13.938 * [simplify]: Simplified to 3/4 13.938 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (hypot re im) 3/4)) re) 2.0)))) 13.938 * * * * [progress]: [ 24 / 145 ] simplifiying candidate # 13.938 * [simplify]: Simplifying (* (sqrt (hypot re im)) (hypot re im)) 13.938 * * [simplify]: iters left: 4 (5 enodes) 13.939 * * [simplify]: iters left: 3 (16 enodes) 13.942 * * [simplify]: Extracting #0: cost 1 inf + 0 13.942 * * [simplify]: Extracting #1: cost 4 inf + 0 13.942 * * [simplify]: Extracting #2: cost 8 inf + 0 13.942 * * [simplify]: Extracting #3: cost 6 inf + 2 13.942 * * [simplify]: Extracting #4: cost 0 inf + 584 13.942 * [simplify]: Simplified to (* (hypot re im) (sqrt (hypot re im))) 13.942 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (* (hypot re im) (sqrt (hypot re im))) 1/2)) re) 2.0)))) 13.942 * * * * [progress]: [ 25 / 145 ] simplifiying candidate # 13.942 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) 13.942 * * [simplify]: iters left: 5 (6 enodes) 13.943 * * [simplify]: iters left: 4 (19 enodes) 13.946 * * [simplify]: Extracting #0: cost 1 inf + 0 13.946 * * [simplify]: Extracting #1: cost 4 inf + 0 13.946 * * [simplify]: Extracting #2: cost 7 inf + 0 13.946 * * [simplify]: Extracting #3: cost 10 inf + 0 13.946 * * [simplify]: Extracting #4: cost 8 inf + 2 13.946 * * [simplify]: Extracting #5: cost 0 inf + 938 13.946 * [simplify]: Simplified to (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 13.946 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) 1)) re) 2.0)))) 13.946 * * * * [progress]: [ 26 / 145 ] simplifiying candidate # 13.947 * [simplify]: Simplifying (* (sqrt (hypot re im)) (hypot re im)) 13.947 * * [simplify]: iters left: 4 (5 enodes) 13.948 * * [simplify]: iters left: 3 (16 enodes) 13.950 * * [simplify]: Extracting #0: cost 1 inf + 0 13.950 * * [simplify]: Extracting #1: cost 4 inf + 0 13.950 * * [simplify]: Extracting #2: cost 8 inf + 0 13.950 * * [simplify]: Extracting #3: cost 6 inf + 2 13.950 * * [simplify]: Extracting #4: cost 0 inf + 584 13.950 * [simplify]: Simplified to (* (hypot re im) (sqrt (hypot re im))) 13.950 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (* (hypot re im) (sqrt (hypot re im))) (/ 1 2))) re) 2.0)))) 13.950 * [simplify]: Simplifying (/ 1 2) 13.950 * * [simplify]: iters left: 2 (3 enodes) 13.952 * * [simplify]: iters left: 1 (12 enodes) 13.955 * * [simplify]: Extracting #0: cost 1 inf + 0 13.955 * * [simplify]: Extracting #1: cost 0 inf + 1 13.955 * [simplify]: Simplified to 1/2 13.955 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (* (sqrt (hypot re im)) (hypot re im)) 1/2)) re) 2.0)))) 13.955 * * * * [progress]: [ 27 / 145 ] simplifiying candidate # 13.955 * [simplify]: Simplifying (sqrt (hypot re im)) 13.955 * * [simplify]: iters left: 2 (4 enodes) 13.956 * * [simplify]: iters left: 1 (12 enodes) 13.958 * * [simplify]: Extracting #0: cost 1 inf + 0 13.958 * * [simplify]: Extracting #1: cost 3 inf + 0 13.958 * * [simplify]: Extracting #2: cost 6 inf + 0 13.958 * * [simplify]: Extracting #3: cost 4 inf + 2 13.958 * * [simplify]: Extracting #4: cost 0 inf + 310 13.958 * [simplify]: Simplified to (sqrt (hypot re im)) 13.958 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) (+ 1/2 1))) re) 2.0)))) 13.958 * * * * [progress]: [ 28 / 145 ] simplifiying candidate # 13.958 * [simplify]: Simplifying (sqrt (hypot re im)) 13.959 * * [simplify]: iters left: 2 (4 enodes) 13.959 * * [simplify]: iters left: 1 (12 enodes) 13.961 * * [simplify]: Extracting #0: cost 1 inf + 0 13.961 * * [simplify]: Extracting #1: cost 3 inf + 0 13.961 * * [simplify]: Extracting #2: cost 6 inf + 0 13.961 * * [simplify]: Extracting #3: cost 4 inf + 2 13.961 * * [simplify]: Extracting #4: cost 0 inf + 310 13.961 * [simplify]: Simplified to (sqrt (hypot re im)) 13.961 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (sqrt (hypot re im)) (+ (/ 1 2) 1))) re) 2.0)))) 13.961 * * * * [progress]: [ 29 / 145 ] simplifiying candidate # 13.961 * * * * [progress]: [ 30 / 145 ] simplifiying candidate # 13.961 * [simplify]: Simplifying (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im)))) 13.962 * * [simplify]: iters left: 6 (8 enodes) 13.963 * * [simplify]: iters left: 5 (25 enodes) 13.966 * * [simplify]: Extracting #0: cost 1 inf + 0 13.967 * * [simplify]: Extracting #1: cost 4 inf + 0 13.967 * * [simplify]: Extracting #2: cost 8 inf + 0 13.967 * * [simplify]: Extracting #3: cost 11 inf + 0 13.967 * * [simplify]: Extracting #4: cost 14 inf + 0 13.967 * * [simplify]: Extracting #5: cost 12 inf + 2 13.967 * * [simplify]: Extracting #6: cost 9 inf + 213 13.967 * * [simplify]: Extracting #7: cost 2 inf + 1442 13.967 * * [simplify]: Extracting #8: cost 0 inf + 1966 13.967 * [simplify]: Simplified to (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im)))) 13.967 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (exp (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im)))))) re) 2.0)))) 13.968 * * * * [progress]: [ 31 / 145 ] simplifiying candidate # 13.968 * * * * [progress]: [ 32 / 145 ] simplifiying candidate # 13.968 * * * * [progress]: [ 33 / 145 ] simplifiying candidate # 13.968 * * * * [progress]: [ 34 / 145 ] simplifiying candidate # 13.968 * * * * [progress]: [ 35 / 145 ] simplifiying candidate # 13.968 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) 13.968 * * [simplify]: iters left: 6 (10 enodes) 13.970 * * [simplify]: iters left: 5 (36 enodes) 13.977 * * [simplify]: iters left: 4 (64 enodes) 13.992 * * [simplify]: iters left: 3 (100 enodes) 14.014 * * [simplify]: iters left: 2 (188 enodes) 14.088 * * [simplify]: iters left: 1 (473 enodes) 14.348 * * [simplify]: Extracting #0: cost 1 inf + 0 14.349 * * [simplify]: Extracting #1: cost 78 inf + 0 14.349 * * [simplify]: Extracting #2: cost 307 inf + 3 14.351 * * [simplify]: Extracting #3: cost 309 inf + 227 14.355 * * [simplify]: Extracting #4: cost 224 inf + 28583 14.368 * * [simplify]: Extracting #5: cost 28 inf + 127813 14.398 * * [simplify]: Extracting #6: cost 0 inf + 144919 14.424 * [simplify]: Simplified to (* (* (hypot re im) (hypot re im)) (sqrt (sqrt (hypot re im)))) 14.424 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (cbrt (* (* (hypot re im) (hypot re im)) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.424 * * * * [progress]: [ 36 / 145 ] simplifiying candidate # 14.424 * * * * [progress]: [ 37 / 145 ] simplifiying candidate # 14.424 * * * * [progress]: [ 38 / 145 ] simplifiying candidate # 14.425 * [simplify]: Simplifying (* (sqrt (hypot re im)) (hypot re im)) 14.425 * * [simplify]: iters left: 4 (5 enodes) 14.426 * * [simplify]: iters left: 3 (16 enodes) 14.428 * * [simplify]: Extracting #0: cost 1 inf + 0 14.428 * * [simplify]: Extracting #1: cost 4 inf + 0 14.428 * * [simplify]: Extracting #2: cost 8 inf + 0 14.428 * * [simplify]: Extracting #3: cost 6 inf + 2 14.428 * * [simplify]: Extracting #4: cost 0 inf + 584 14.429 * [simplify]: Simplified to (* (hypot re im) (sqrt (hypot re im))) 14.429 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (sqrt (* (hypot re im) (sqrt (hypot re im))))) re) 2.0)))) 14.429 * * * * [progress]: [ 39 / 145 ] simplifiying candidate # 14.429 * * * * [progress]: [ 40 / 145 ] simplifiying candidate # 14.429 * * * * [progress]: [ 41 / 145 ] simplifiying candidate # 14.429 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.429 * * [simplify]: iters left: 6 (7 enodes) 14.430 * * [simplify]: iters left: 5 (22 enodes) 14.433 * * [simplify]: Extracting #0: cost 1 inf + 0 14.433 * * [simplify]: Extracting #1: cost 4 inf + 0 14.433 * * [simplify]: Extracting #2: cost 7 inf + 0 14.433 * * [simplify]: Extracting #3: cost 9 inf + 0 14.433 * * [simplify]: Extracting #4: cost 12 inf + 0 14.433 * * [simplify]: Extracting #5: cost 10 inf + 2 14.434 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.434 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.434 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.434 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.434 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.434 * * [simplify]: iters left: 6 (7 enodes) 14.436 * * [simplify]: iters left: 5 (22 enodes) 14.439 * * [simplify]: Extracting #0: cost 1 inf + 0 14.439 * * [simplify]: Extracting #1: cost 4 inf + 0 14.439 * * [simplify]: Extracting #2: cost 7 inf + 0 14.439 * * [simplify]: Extracting #3: cost 9 inf + 0 14.439 * * [simplify]: Extracting #4: cost 12 inf + 0 14.439 * * [simplify]: Extracting #5: cost 10 inf + 2 14.439 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.439 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.439 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.439 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 14.440 * * * * [progress]: [ 42 / 145 ] simplifiying candidate # 14.440 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.440 * * [simplify]: iters left: 6 (7 enodes) 14.441 * * [simplify]: iters left: 5 (22 enodes) 14.444 * * [simplify]: Extracting #0: cost 1 inf + 0 14.444 * * [simplify]: Extracting #1: cost 4 inf + 0 14.444 * * [simplify]: Extracting #2: cost 7 inf + 0 14.444 * * [simplify]: Extracting #3: cost 9 inf + 0 14.444 * * [simplify]: Extracting #4: cost 12 inf + 0 14.444 * * [simplify]: Extracting #5: cost 10 inf + 2 14.444 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.445 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.448 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.448 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.448 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.448 * * [simplify]: iters left: 6 (7 enodes) 14.450 * * [simplify]: iters left: 5 (22 enodes) 14.452 * * [simplify]: Extracting #0: cost 1 inf + 0 14.452 * * [simplify]: Extracting #1: cost 4 inf + 0 14.452 * * [simplify]: Extracting #2: cost 7 inf + 0 14.453 * * [simplify]: Extracting #3: cost 9 inf + 0 14.453 * * [simplify]: Extracting #4: cost 12 inf + 0 14.453 * * [simplify]: Extracting #5: cost 10 inf + 2 14.453 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.453 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.453 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.453 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 14.453 * * * * [progress]: [ 43 / 145 ] simplifiying candidate # 14.454 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.454 * * [simplify]: iters left: 6 (7 enodes) 14.455 * * [simplify]: iters left: 5 (22 enodes) 14.458 * * [simplify]: Extracting #0: cost 1 inf + 0 14.458 * * [simplify]: Extracting #1: cost 4 inf + 0 14.458 * * [simplify]: Extracting #2: cost 7 inf + 0 14.458 * * [simplify]: Extracting #3: cost 9 inf + 0 14.458 * * [simplify]: Extracting #4: cost 12 inf + 0 14.458 * * [simplify]: Extracting #5: cost 10 inf + 2 14.458 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.458 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.459 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.459 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.459 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.459 * * [simplify]: iters left: 6 (7 enodes) 14.460 * * [simplify]: iters left: 5 (22 enodes) 14.463 * * [simplify]: Extracting #0: cost 1 inf + 0 14.463 * * [simplify]: Extracting #1: cost 4 inf + 0 14.463 * * [simplify]: Extracting #2: cost 7 inf + 0 14.463 * * [simplify]: Extracting #3: cost 9 inf + 0 14.463 * * [simplify]: Extracting #4: cost 12 inf + 0 14.463 * * [simplify]: Extracting #5: cost 10 inf + 2 14.463 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.464 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.464 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.464 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 14.464 * * * * [progress]: [ 44 / 145 ] simplifiying candidate # 14.464 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.464 * * [simplify]: iters left: 6 (7 enodes) 14.466 * * [simplify]: iters left: 5 (22 enodes) 14.468 * * [simplify]: Extracting #0: cost 1 inf + 0 14.468 * * [simplify]: Extracting #1: cost 4 inf + 0 14.468 * * [simplify]: Extracting #2: cost 7 inf + 0 14.468 * * [simplify]: Extracting #3: cost 9 inf + 0 14.468 * * [simplify]: Extracting #4: cost 12 inf + 0 14.468 * * [simplify]: Extracting #5: cost 10 inf + 2 14.469 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.469 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.469 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.469 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.469 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.469 * * [simplify]: iters left: 6 (7 enodes) 14.471 * * [simplify]: iters left: 5 (22 enodes) 14.473 * * [simplify]: Extracting #0: cost 1 inf + 0 14.473 * * [simplify]: Extracting #1: cost 4 inf + 0 14.473 * * [simplify]: Extracting #2: cost 7 inf + 0 14.473 * * [simplify]: Extracting #3: cost 9 inf + 0 14.474 * * [simplify]: Extracting #4: cost 12 inf + 0 14.474 * * [simplify]: Extracting #5: cost 10 inf + 2 14.474 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.474 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.474 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.474 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 14.474 * * * * [progress]: [ 45 / 145 ] simplifiying candidate # 14.475 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.475 * * [simplify]: iters left: 6 (7 enodes) 14.476 * * [simplify]: iters left: 5 (22 enodes) 14.479 * * [simplify]: Extracting #0: cost 1 inf + 0 14.479 * * [simplify]: Extracting #1: cost 4 inf + 0 14.479 * * [simplify]: Extracting #2: cost 7 inf + 0 14.479 * * [simplify]: Extracting #3: cost 9 inf + 0 14.479 * * [simplify]: Extracting #4: cost 12 inf + 0 14.479 * * [simplify]: Extracting #5: cost 10 inf + 2 14.479 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.479 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.480 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.480 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.480 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.480 * * [simplify]: iters left: 6 (7 enodes) 14.481 * * [simplify]: iters left: 5 (22 enodes) 14.484 * * [simplify]: Extracting #0: cost 1 inf + 0 14.484 * * [simplify]: Extracting #1: cost 4 inf + 0 14.484 * * [simplify]: Extracting #2: cost 7 inf + 0 14.484 * * [simplify]: Extracting #3: cost 9 inf + 0 14.484 * * [simplify]: Extracting #4: cost 12 inf + 0 14.484 * * [simplify]: Extracting #5: cost 10 inf + 2 14.484 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.485 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.485 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.485 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 14.485 * * * * [progress]: [ 46 / 145 ] simplifiying candidate # 14.485 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.485 * * [simplify]: iters left: 6 (7 enodes) 14.487 * * [simplify]: iters left: 5 (22 enodes) 14.491 * * [simplify]: Extracting #0: cost 1 inf + 0 14.491 * * [simplify]: Extracting #1: cost 4 inf + 0 14.491 * * [simplify]: Extracting #2: cost 7 inf + 0 14.491 * * [simplify]: Extracting #3: cost 9 inf + 0 14.491 * * [simplify]: Extracting #4: cost 12 inf + 0 14.491 * * [simplify]: Extracting #5: cost 10 inf + 2 14.491 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.492 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.492 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.492 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))))) re) 2.0)))) 14.493 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) 14.493 * * [simplify]: iters left: 6 (7 enodes) 14.496 * * [simplify]: iters left: 5 (22 enodes) 14.502 * * [simplify]: Extracting #0: cost 1 inf + 0 14.502 * * [simplify]: Extracting #1: cost 4 inf + 0 14.502 * * [simplify]: Extracting #2: cost 7 inf + 0 14.502 * * [simplify]: Extracting #3: cost 9 inf + 0 14.502 * * [simplify]: Extracting #4: cost 12 inf + 0 14.502 * * [simplify]: Extracting #5: cost 10 inf + 2 14.502 * * [simplify]: Extracting #6: cost 1 inf + 1155 14.503 * * [simplify]: Extracting #7: cost 0 inf + 1372 14.503 * [simplify]: Simplified to (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))) 14.503 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 14.503 * * * * [progress]: [ 47 / 145 ] simplifiying candidate # 14.504 * [simplify]: Simplifying (cbrt (sqrt (hypot re im))) 14.504 * * [simplify]: iters left: 3 (5 enodes) 14.506 * * [simplify]: iters left: 2 (15 enodes) 14.510 * * [simplify]: Extracting #0: cost 1 inf + 0 14.510 * * [simplify]: Extracting #1: cost 3 inf + 0 14.510 * * [simplify]: Extracting #2: cost 5 inf + 0 14.510 * * [simplify]: Extracting #3: cost 8 inf + 0 14.510 * * [simplify]: Extracting #4: cost 6 inf + 2 14.510 * * [simplify]: Extracting #5: cost 0 inf + 664 14.510 * [simplify]: Simplified to (cbrt (sqrt (hypot re im))) 14.510 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (cbrt (sqrt (hypot re im))))) re) 2.0)))) 14.511 * * * * [progress]: [ 48 / 145 ] simplifiying candidate # 14.511 * [simplify]: Simplifying (sqrt (cbrt (hypot re im))) 14.511 * * [simplify]: iters left: 3 (5 enodes) 14.513 * * [simplify]: iters left: 2 (15 enodes) 14.517 * * [simplify]: Extracting #0: cost 1 inf + 0 14.517 * * [simplify]: Extracting #1: cost 3 inf + 0 14.517 * * [simplify]: Extracting #2: cost 5 inf + 0 14.517 * * [simplify]: Extracting #3: cost 8 inf + 0 14.517 * * [simplify]: Extracting #4: cost 6 inf + 2 14.517 * * [simplify]: Extracting #5: cost 0 inf + 744 14.517 * [simplify]: Simplified to (sqrt (cbrt (hypot re im))) 14.517 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (sqrt (cbrt (hypot re im))))) re) 2.0)))) 14.518 * * * * [progress]: [ 49 / 145 ] simplifiying candidate # 14.518 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 14.518 * * [simplify]: iters left: 3 (5 enodes) 14.520 * * [simplify]: iters left: 2 (15 enodes) 14.524 * * [simplify]: Extracting #0: cost 1 inf + 0 14.524 * * [simplify]: Extracting #1: cost 3 inf + 0 14.524 * * [simplify]: Extracting #2: cost 5 inf + 0 14.524 * * [simplify]: Extracting #3: cost 8 inf + 0 14.524 * * [simplify]: Extracting #4: cost 6 inf + 2 14.524 * * [simplify]: Extracting #5: cost 0 inf + 584 14.525 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 14.525 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 14.525 * * * * [progress]: [ 50 / 145 ] simplifiying candidate # 14.525 * [simplify]: Simplifying (sqrt (hypot re im)) 14.525 * * [simplify]: iters left: 2 (4 enodes) 14.527 * * [simplify]: iters left: 1 (12 enodes) 14.530 * * [simplify]: Extracting #0: cost 1 inf + 0 14.531 * * [simplify]: Extracting #1: cost 3 inf + 0 14.531 * * [simplify]: Extracting #2: cost 6 inf + 0 14.531 * * [simplify]: Extracting #3: cost 4 inf + 2 14.531 * * [simplify]: Extracting #4: cost 0 inf + 310 14.531 * [simplify]: Simplified to (sqrt (hypot re im)) 14.531 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt 1)) (sqrt (hypot re im)))) re) 2.0)))) 14.531 * * * * [progress]: [ 51 / 145 ] simplifiying candidate # 14.532 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 14.532 * * [simplify]: iters left: 3 (5 enodes) 14.534 * * [simplify]: iters left: 2 (15 enodes) 14.538 * * [simplify]: Extracting #0: cost 1 inf + 0 14.538 * * [simplify]: Extracting #1: cost 3 inf + 0 14.538 * * [simplify]: Extracting #2: cost 5 inf + 0 14.538 * * [simplify]: Extracting #3: cost 8 inf + 0 14.538 * * [simplify]: Extracting #4: cost 6 inf + 2 14.538 * * [simplify]: Extracting #5: cost 0 inf + 584 14.538 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 14.538 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im))))) re) 2.0)))) 14.539 * * * * [progress]: [ 52 / 145 ] simplifiying candidate # 14.539 * [simplify]: Simplifying (sqrt (hypot re im)) 14.539 * * [simplify]: iters left: 2 (4 enodes) 14.541 * * [simplify]: iters left: 1 (12 enodes) 14.544 * * [simplify]: Extracting #0: cost 1 inf + 0 14.544 * * [simplify]: Extracting #1: cost 3 inf + 0 14.544 * * [simplify]: Extracting #2: cost 6 inf + 0 14.544 * * [simplify]: Extracting #3: cost 4 inf + 2 14.544 * * [simplify]: Extracting #4: cost 0 inf + 310 14.544 * [simplify]: Simplified to (sqrt (hypot re im)) 14.544 * [simplify]: Simplified (2 2 1 1 1 2 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (hypot re im))) 1) (sqrt (hypot re im)))) re) 2.0)))) 14.544 * * * * [progress]: [ 53 / 145 ] simplifiying candidate # 14.545 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 14.545 * * [simplify]: iters left: 6 (7 enodes) 14.548 * * [simplify]: iters left: 5 (21 enodes) 14.553 * * [simplify]: Extracting #0: cost 1 inf + 0 14.553 * * [simplify]: Extracting #1: cost 3 inf + 0 14.553 * * [simplify]: Extracting #2: cost 5 inf + 0 14.553 * * [simplify]: Extracting #3: cost 7 inf + 0 14.553 * * [simplify]: Extracting #4: cost 9 inf + 0 14.553 * * [simplify]: Extracting #5: cost 12 inf + 0 14.553 * * [simplify]: Extracting #6: cost 10 inf + 2 14.553 * * [simplify]: Extracting #7: cost 1 inf + 1275 14.554 * * [simplify]: Extracting #8: cost 0 inf + 1532 14.554 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 14.554 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))))) re) 2.0)))) 14.554 * * * * [progress]: [ 54 / 145 ] simplifiying candidate # 14.554 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 14.554 * * [simplify]: iters left: 6 (7 enodes) 14.557 * * [simplify]: iters left: 5 (22 enodes) 14.559 * * [simplify]: Extracting #0: cost 1 inf + 0 14.559 * * [simplify]: Extracting #1: cost 4 inf + 0 14.559 * * [simplify]: Extracting #2: cost 7 inf + 0 14.559 * * [simplify]: Extracting #3: cost 9 inf + 0 14.559 * * [simplify]: Extracting #4: cost 12 inf + 0 14.560 * * [simplify]: Extracting #5: cost 8 inf + 116 14.560 * * [simplify]: Extracting #6: cost 1 inf + 1315 14.560 * * [simplify]: Extracting #7: cost 0 inf + 1532 14.560 * [simplify]: Simplified to (fabs (cbrt (sqrt (hypot re im)))) 14.560 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (fabs (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))))) re) 2.0)))) 14.560 * * * * [progress]: [ 55 / 145 ] simplifiying candidate # 14.561 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 14.561 * * [simplify]: iters left: 6 (7 enodes) 14.562 * * [simplify]: iters left: 5 (22 enodes) 14.565 * * [simplify]: Extracting #0: cost 1 inf + 0 14.565 * * [simplify]: Extracting #1: cost 3 inf + 0 14.565 * * [simplify]: Extracting #2: cost 6 inf + 0 14.565 * * [simplify]: Extracting #3: cost 9 inf + 0 14.565 * * [simplify]: Extracting #4: cost 12 inf + 0 14.565 * * [simplify]: Extracting #5: cost 8 inf + 116 14.566 * * [simplify]: Extracting #6: cost 1 inf + 1315 14.566 * * [simplify]: Extracting #7: cost 0 inf + 1532 14.566 * [simplify]: Simplified to (sqrt (fabs (cbrt (hypot re im)))) 14.566 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (sqrt (hypot re im))))) re) 2.0)))) 14.566 * * * * [progress]: [ 56 / 145 ] simplifiying candidate # 14.566 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 14.566 * * [simplify]: iters left: 4 (6 enodes) 14.567 * * [simplify]: iters left: 3 (18 enodes) 14.570 * * [simplify]: Extracting #0: cost 1 inf + 0 14.570 * * [simplify]: Extracting #1: cost 3 inf + 0 14.570 * * [simplify]: Extracting #2: cost 5 inf + 0 14.570 * * [simplify]: Extracting #3: cost 7 inf + 0 14.570 * * [simplify]: Extracting #4: cost 10 inf + 0 14.570 * * [simplify]: Extracting #5: cost 8 inf + 2 14.570 * * [simplify]: Extracting #6: cost 0 inf + 938 14.570 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 14.570 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))))) re) 2.0)))) 14.570 * * * * [progress]: [ 57 / 145 ] simplifiying candidate # 14.570 * [simplify]: Simplifying (sqrt (sqrt 1)) 14.570 * * [simplify]: iters left: 2 (3 enodes) 14.574 * * [simplify]: iters left: 1 (11 enodes) 14.576 * * [simplify]: Extracting #0: cost 1 inf + 0 14.576 * * [simplify]: Extracting #1: cost 0 inf + 1 14.576 * [simplify]: Simplified to 1 14.576 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* 1 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 14.576 * * * * [progress]: [ 58 / 145 ] simplifiying candidate # 14.576 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 14.576 * * [simplify]: iters left: 4 (6 enodes) 14.577 * * [simplify]: iters left: 3 (18 enodes) 14.579 * * [simplify]: Extracting #0: cost 1 inf + 0 14.579 * * [simplify]: Extracting #1: cost 3 inf + 0 14.579 * * [simplify]: Extracting #2: cost 5 inf + 0 14.579 * * [simplify]: Extracting #3: cost 7 inf + 0 14.579 * * [simplify]: Extracting #4: cost 10 inf + 0 14.580 * * [simplify]: Extracting #5: cost 8 inf + 2 14.580 * * [simplify]: Extracting #6: cost 0 inf + 938 14.580 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 14.580 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))))) re) 2.0)))) 14.580 * * * * [progress]: [ 59 / 145 ] simplifiying candidate # 14.580 * [simplify]: Simplifying (sqrt 1) 14.580 * * [simplify]: iters left: 1 (2 enodes) 14.583 * * [simplify]: Extracting #0: cost 1 inf + 0 14.583 * * [simplify]: Extracting #1: cost 0 inf + 1 14.583 * [simplify]: Simplified to 1 14.583 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* 1 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 14.583 * * * * [progress]: [ 60 / 145 ] simplifiying candidate # 14.584 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 14.584 * * [simplify]: iters left: 4 (6 enodes) 14.586 * * [simplify]: iters left: 3 (18 enodes) 14.591 * * [simplify]: Extracting #0: cost 1 inf + 0 14.591 * * [simplify]: Extracting #1: cost 3 inf + 0 14.591 * * [simplify]: Extracting #2: cost 5 inf + 0 14.591 * * [simplify]: Extracting #3: cost 7 inf + 0 14.592 * * [simplify]: Extracting #4: cost 10 inf + 0 14.592 * * [simplify]: Extracting #5: cost 8 inf + 2 14.592 * * [simplify]: Extracting #6: cost 0 inf + 938 14.592 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 14.592 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im))))) re) 2.0)))) 14.592 * * * * [progress]: [ 61 / 145 ] simplifiying candidate # 14.592 * * * * [progress]: [ 62 / 145 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))) re) 2.0))))> 14.593 * * * * [progress]: [ 63 / 145 ] simplifiying candidate # 14.593 * * * * [progress]: [ 64 / 145 ] simplifiying candidate # 14.593 * * * * [progress]: [ 65 / 145 ] simplifiying candidate # 14.593 * * * * [progress]: [ 66 / 145 ] simplifiying candidate # 14.593 * [simplify]: Simplifying (sqrt (hypot re im)) 14.593 * * [simplify]: iters left: 2 (4 enodes) 14.595 * * [simplify]: iters left: 1 (12 enodes) 14.598 * * [simplify]: Extracting #0: cost 1 inf + 0 14.598 * * [simplify]: Extracting #1: cost 3 inf + 0 14.598 * * [simplify]: Extracting #2: cost 6 inf + 0 14.598 * * [simplify]: Extracting #3: cost 4 inf + 2 14.598 * * [simplify]: Extracting #4: cost 0 inf + 310 14.598 * [simplify]: Simplified to (sqrt (hypot re im)) 14.598 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ 1/2 (+ 1/2 1))) re) 2.0)))) 14.599 * [simplify]: Simplifying (+ 1/2 (+ 1/2 1)) 14.599 * * [simplify]: iters left: 4 (4 enodes) 14.605 * * [simplify]: iters left: 3 (20 enodes) 14.610 * * [simplify]: iters left: 2 (22 enodes) 14.615 * * [simplify]: Extracting #0: cost 1 inf + 0 14.615 * * [simplify]: Extracting #1: cost 0 inf + 1 14.615 * [simplify]: Simplified to 2 14.615 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.615 * * * * [progress]: [ 67 / 145 ] simplifiying candidate # 14.615 * [simplify]: Simplifying (sqrt (hypot re im)) 14.615 * * [simplify]: iters left: 2 (4 enodes) 14.616 * * [simplify]: iters left: 1 (12 enodes) 14.618 * * [simplify]: Extracting #0: cost 1 inf + 0 14.618 * * [simplify]: Extracting #1: cost 3 inf + 0 14.618 * * [simplify]: Extracting #2: cost 6 inf + 0 14.618 * * [simplify]: Extracting #3: cost 4 inf + 2 14.618 * * [simplify]: Extracting #4: cost 0 inf + 310 14.618 * [simplify]: Simplified to (sqrt (hypot re im)) 14.618 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ 1/2 (+ (/ 1 2) 1))) re) 2.0)))) 14.618 * [simplify]: Simplifying (+ 1/2 (+ (/ 1 2) 1)) 14.618 * * [simplify]: iters left: 6 (6 enodes) 14.621 * * [simplify]: iters left: 5 (24 enodes) 14.628 * * [simplify]: iters left: 4 (38 enodes) 14.632 * * [simplify]: Extracting #0: cost 1 inf + 0 14.632 * * [simplify]: Extracting #1: cost 0 inf + 1 14.632 * [simplify]: Simplified to 2 14.632 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.632 * * * * [progress]: [ 68 / 145 ] simplifiying candidate # 14.632 * [simplify]: Simplifying (sqrt (hypot re im)) 14.632 * * [simplify]: iters left: 2 (4 enodes) 14.633 * * [simplify]: iters left: 1 (12 enodes) 14.634 * * [simplify]: Extracting #0: cost 1 inf + 0 14.635 * * [simplify]: Extracting #1: cost 3 inf + 0 14.635 * * [simplify]: Extracting #2: cost 6 inf + 0 14.635 * * [simplify]: Extracting #3: cost 4 inf + 2 14.635 * * [simplify]: Extracting #4: cost 0 inf + 310 14.635 * [simplify]: Simplified to (sqrt (hypot re im)) 14.635 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ 1/2 (+ 1/2 1))) re) 2.0)))) 14.635 * [simplify]: Simplifying (+ 1/2 (+ 1/2 1)) 14.635 * * [simplify]: iters left: 4 (4 enodes) 14.639 * * [simplify]: iters left: 3 (20 enodes) 14.642 * * [simplify]: iters left: 2 (22 enodes) 14.647 * * [simplify]: Extracting #0: cost 1 inf + 0 14.647 * * [simplify]: Extracting #1: cost 0 inf + 1 14.648 * [simplify]: Simplified to 2 14.648 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.648 * * * * [progress]: [ 69 / 145 ] simplifiying candidate # 14.648 * [simplify]: Simplifying (sqrt (hypot re im)) 14.648 * * [simplify]: iters left: 2 (4 enodes) 14.649 * * [simplify]: iters left: 1 (12 enodes) 14.652 * * [simplify]: Extracting #0: cost 1 inf + 0 14.652 * * [simplify]: Extracting #1: cost 3 inf + 0 14.652 * * [simplify]: Extracting #2: cost 6 inf + 0 14.652 * * [simplify]: Extracting #3: cost 4 inf + 2 14.652 * * [simplify]: Extracting #4: cost 0 inf + 310 14.653 * [simplify]: Simplified to (sqrt (hypot re im)) 14.653 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ 1/2 (+ (/ 1 2) 1))) re) 2.0)))) 14.653 * [simplify]: Simplifying (+ 1/2 (+ (/ 1 2) 1)) 14.653 * * [simplify]: iters left: 6 (6 enodes) 14.658 * * [simplify]: iters left: 5 (24 enodes) 14.674 * * [simplify]: iters left: 4 (38 enodes) 14.681 * * [simplify]: Extracting #0: cost 1 inf + 0 14.681 * * [simplify]: Extracting #1: cost 0 inf + 1 14.681 * [simplify]: Simplified to 2 14.681 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.681 * * * * [progress]: [ 70 / 145 ] simplifiying candidate # 14.682 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 14.682 * * [simplify]: iters left: 3 (5 enodes) 14.683 * * [simplify]: iters left: 2 (15 enodes) 14.688 * * [simplify]: Extracting #0: cost 1 inf + 0 14.688 * * [simplify]: Extracting #1: cost 3 inf + 0 14.688 * * [simplify]: Extracting #2: cost 5 inf + 0 14.688 * * [simplify]: Extracting #3: cost 8 inf + 0 14.688 * * [simplify]: Extracting #4: cost 6 inf + 2 14.688 * * [simplify]: Extracting #5: cost 0 inf + 584 14.689 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 14.689 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (sqrt (hypot re im))) (+ 1 3)) re) 2.0)))) 14.689 * [simplify]: Simplifying (+ 1 3) 14.689 * * [simplify]: iters left: 2 (3 enodes) 14.692 * * [simplify]: iters left: 1 (13 enodes) 14.695 * * [simplify]: Extracting #0: cost 1 inf + 0 14.695 * * [simplify]: Extracting #1: cost 0 inf + 1 14.695 * [simplify]: Simplified to 4 14.695 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (sqrt (hypot re im))) 4) re) 2.0)))) 14.695 * * * * [progress]: [ 71 / 145 ] simplifiying candidate # 14.695 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 14.695 * * [simplify]: iters left: 3 (5 enodes) 14.697 * * [simplify]: iters left: 2 (15 enodes) 14.699 * * [simplify]: Extracting #0: cost 1 inf + 0 14.699 * * [simplify]: Extracting #1: cost 3 inf + 0 14.699 * * [simplify]: Extracting #2: cost 5 inf + 0 14.699 * * [simplify]: Extracting #3: cost 8 inf + 0 14.699 * * [simplify]: Extracting #4: cost 6 inf + 2 14.699 * * [simplify]: Extracting #5: cost 0 inf + 584 14.699 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 14.699 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (sqrt (hypot re im))) (+ 1 3)) re) 2.0)))) 14.700 * [simplify]: Simplifying (+ 1 3) 14.700 * * [simplify]: iters left: 2 (3 enodes) 14.702 * * [simplify]: iters left: 1 (13 enodes) 14.705 * * [simplify]: Extracting #0: cost 1 inf + 0 14.705 * * [simplify]: Extracting #1: cost 0 inf + 1 14.705 * [simplify]: Simplified to 4 14.705 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (sqrt (hypot re im))) 4) re) 2.0)))) 14.705 * * * * [progress]: [ 72 / 145 ] simplifiying candidate # 14.706 * [simplify]: Simplifying (hypot re im) 14.706 * * [simplify]: iters left: 1 (3 enodes) 14.706 * * [simplify]: Extracting #0: cost 1 inf + 0 14.706 * * [simplify]: Extracting #1: cost 4 inf + 0 14.706 * * [simplify]: Extracting #2: cost 2 inf + 2 14.706 * * [simplify]: Extracting #3: cost 0 inf + 116 14.707 * [simplify]: Simplified to (hypot re im) 14.707 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ 1/2 2) (+ (/ 1/2 2) 1/2))) re) 2.0)))) 14.707 * [simplify]: Simplifying (+ (/ 1/2 2) (+ (/ 1/2 2) 1/2)) 14.707 * * [simplify]: iters left: 6 (5 enodes) 14.710 * * [simplify]: iters left: 5 (21 enodes) 14.714 * * [simplify]: iters left: 4 (22 enodes) 14.717 * * [simplify]: iters left: 3 (24 enodes) 14.721 * * [simplify]: iters left: 2 (26 enodes) 14.728 * * [simplify]: Extracting #0: cost 1 inf + 0 14.728 * * [simplify]: Extracting #1: cost 0 inf + 1 14.728 * [simplify]: Simplified to 1 14.729 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.729 * * * * [progress]: [ 73 / 145 ] simplifiying candidate # 14.729 * [simplify]: Simplifying (hypot re im) 14.729 * * [simplify]: iters left: 1 (3 enodes) 14.730 * * [simplify]: Extracting #0: cost 1 inf + 0 14.730 * * [simplify]: Extracting #1: cost 4 inf + 0 14.730 * * [simplify]: Extracting #2: cost 2 inf + 2 14.730 * * [simplify]: Extracting #3: cost 0 inf + 116 14.731 * [simplify]: Simplified to (hypot re im) 14.731 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ 1/2 2) (+ (/ 1/2 2) (/ 1 2)))) re) 2.0)))) 14.731 * [simplify]: Simplifying (+ (/ 1/2 2) (+ (/ 1/2 2) (/ 1 2))) 14.731 * * [simplify]: iters left: 6 (7 enodes) 14.738 * * [simplify]: iters left: 5 (29 enodes) 14.749 * * [simplify]: iters left: 4 (31 enodes) 14.757 * * [simplify]: Extracting #0: cost 1 inf + 0 14.757 * * [simplify]: Extracting #1: cost 0 inf + 1 14.757 * [simplify]: Simplified to 1 14.757 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.758 * * * * [progress]: [ 74 / 145 ] simplifiying candidate # 14.758 * [simplify]: Simplifying (hypot re im) 14.758 * * [simplify]: iters left: 1 (3 enodes) 14.759 * * [simplify]: Extracting #0: cost 1 inf + 0 14.759 * * [simplify]: Extracting #1: cost 4 inf + 0 14.759 * * [simplify]: Extracting #2: cost 2 inf + 2 14.759 * * [simplify]: Extracting #3: cost 0 inf + 116 14.759 * [simplify]: Simplified to (hypot re im) 14.759 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ 1/2 2) (+ (/ (/ 1 2) 2) 1/2))) re) 2.0)))) 14.760 * [simplify]: Simplifying (+ (/ 1/2 2) (+ (/ (/ 1 2) 2) 1/2)) 14.760 * * [simplify]: iters left: 6 (8 enodes) 14.769 * * [simplify]: iters left: 5 (34 enodes) 14.788 * * [simplify]: iters left: 4 (52 enodes) 14.803 * * [simplify]: Extracting #0: cost 1 inf + 0 14.803 * * [simplify]: Extracting #1: cost 0 inf + 1 14.803 * [simplify]: Simplified to 1 14.803 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.803 * * * * [progress]: [ 75 / 145 ] simplifiying candidate # 14.804 * [simplify]: Simplifying (hypot re im) 14.804 * * [simplify]: iters left: 1 (3 enodes) 14.805 * * [simplify]: Extracting #0: cost 1 inf + 0 14.805 * * [simplify]: Extracting #1: cost 4 inf + 0 14.805 * * [simplify]: Extracting #2: cost 2 inf + 2 14.805 * * [simplify]: Extracting #3: cost 0 inf + 116 14.805 * [simplify]: Simplified to (hypot re im) 14.805 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ 1/2 2) (+ (/ (/ 1 2) 2) (/ 1 2)))) re) 2.0)))) 14.806 * [simplify]: Simplifying (+ (/ 1/2 2) (+ (/ (/ 1 2) 2) (/ 1 2))) 14.806 * * [simplify]: iters left: 6 (8 enodes) 14.815 * * [simplify]: iters left: 5 (34 enodes) 14.834 * * [simplify]: iters left: 4 (52 enodes) 14.843 * * [simplify]: Extracting #0: cost 1 inf + 0 14.843 * * [simplify]: Extracting #1: cost 0 inf + 1 14.843 * [simplify]: Simplified to 1 14.843 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.843 * * * * [progress]: [ 76 / 145 ] simplifiying candidate # 14.844 * [simplify]: Simplifying (sqrt (hypot re im)) 14.844 * * [simplify]: iters left: 2 (4 enodes) 14.845 * * [simplify]: iters left: 1 (12 enodes) 14.846 * * [simplify]: Extracting #0: cost 1 inf + 0 14.846 * * [simplify]: Extracting #1: cost 3 inf + 0 14.846 * * [simplify]: Extracting #2: cost 6 inf + 0 14.846 * * [simplify]: Extracting #3: cost 4 inf + 2 14.847 * * [simplify]: Extracting #4: cost 0 inf + 310 14.847 * [simplify]: Simplified to (sqrt (hypot re im)) 14.847 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ (/ 1 2) (+ 1/2 1))) re) 2.0)))) 14.847 * [simplify]: Simplifying (+ (/ 1 2) (+ 1/2 1)) 14.847 * * [simplify]: iters left: 4 (6 enodes) 14.852 * * [simplify]: iters left: 3 (25 enodes) 14.855 * * [simplify]: iters left: 2 (27 enodes) 14.859 * * [simplify]: Extracting #0: cost 1 inf + 0 14.859 * * [simplify]: Extracting #1: cost 0 inf + 1 14.859 * [simplify]: Simplified to 2 14.859 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.859 * * * * [progress]: [ 77 / 145 ] simplifiying candidate # 14.859 * [simplify]: Simplifying (sqrt (hypot re im)) 14.859 * * [simplify]: iters left: 2 (4 enodes) 14.860 * * [simplify]: iters left: 1 (12 enodes) 14.861 * * [simplify]: Extracting #0: cost 1 inf + 0 14.861 * * [simplify]: Extracting #1: cost 3 inf + 0 14.862 * * [simplify]: Extracting #2: cost 6 inf + 0 14.862 * * [simplify]: Extracting #3: cost 4 inf + 2 14.862 * * [simplify]: Extracting #4: cost 0 inf + 310 14.862 * [simplify]: Simplified to (sqrt (hypot re im)) 14.862 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ (/ 1 2) (+ (/ 1 2) 1))) re) 2.0)))) 14.862 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1 2) 1)) 14.862 * * [simplify]: iters left: 6 (5 enodes) 14.865 * * [simplify]: iters left: 5 (23 enodes) 14.870 * * [simplify]: iters left: 4 (25 enodes) 14.874 * * [simplify]: Extracting #0: cost 1 inf + 0 14.874 * * [simplify]: Extracting #1: cost 0 inf + 1 14.874 * [simplify]: Simplified to 2 14.874 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.874 * * * * [progress]: [ 78 / 145 ] simplifiying candidate # 14.874 * [simplify]: Simplifying (sqrt (hypot re im)) 14.874 * * [simplify]: iters left: 2 (4 enodes) 14.875 * * [simplify]: iters left: 1 (12 enodes) 14.876 * * [simplify]: Extracting #0: cost 1 inf + 0 14.876 * * [simplify]: Extracting #1: cost 3 inf + 0 14.877 * * [simplify]: Extracting #2: cost 6 inf + 0 14.877 * * [simplify]: Extracting #3: cost 4 inf + 2 14.877 * * [simplify]: Extracting #4: cost 0 inf + 310 14.877 * [simplify]: Simplified to (sqrt (hypot re im)) 14.877 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ (/ 1 2) (+ 1/2 1))) re) 2.0)))) 14.877 * [simplify]: Simplifying (+ (/ 1 2) (+ 1/2 1)) 14.877 * * [simplify]: iters left: 4 (6 enodes) 14.883 * * [simplify]: iters left: 3 (25 enodes) 14.889 * * [simplify]: iters left: 2 (27 enodes) 14.892 * * [simplify]: Extracting #0: cost 1 inf + 0 14.893 * * [simplify]: Extracting #1: cost 0 inf + 1 14.893 * [simplify]: Simplified to 2 14.893 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.893 * * * * [progress]: [ 79 / 145 ] simplifiying candidate # 14.893 * [simplify]: Simplifying (sqrt (hypot re im)) 14.893 * * [simplify]: iters left: 2 (4 enodes) 14.894 * * [simplify]: iters left: 1 (12 enodes) 14.895 * * [simplify]: Extracting #0: cost 1 inf + 0 14.895 * * [simplify]: Extracting #1: cost 3 inf + 0 14.895 * * [simplify]: Extracting #2: cost 6 inf + 0 14.895 * * [simplify]: Extracting #3: cost 4 inf + 2 14.895 * * [simplify]: Extracting #4: cost 0 inf + 310 14.895 * [simplify]: Simplified to (sqrt (hypot re im)) 14.895 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) (+ (/ 1 2) (+ (/ 1 2) 1))) re) 2.0)))) 14.896 * [simplify]: Simplifying (+ (/ 1 2) (+ (/ 1 2) 1)) 14.896 * * [simplify]: iters left: 6 (5 enodes) 14.899 * * [simplify]: iters left: 5 (23 enodes) 14.904 * * [simplify]: iters left: 4 (25 enodes) 14.912 * * [simplify]: Extracting #0: cost 1 inf + 0 14.912 * * [simplify]: Extracting #1: cost 0 inf + 1 14.912 * [simplify]: Simplified to 2 14.912 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (sqrt (hypot re im)) 2) re) 2.0)))) 14.912 * * * * [progress]: [ 80 / 145 ] simplifiying candidate # 14.913 * [simplify]: Simplifying (hypot re im) 14.913 * * [simplify]: iters left: 1 (3 enodes) 14.913 * * [simplify]: Extracting #0: cost 1 inf + 0 14.913 * * [simplify]: Extracting #1: cost 4 inf + 0 14.913 * * [simplify]: Extracting #2: cost 2 inf + 2 14.913 * * [simplify]: Extracting #3: cost 0 inf + 116 14.913 * [simplify]: Simplified to (hypot re im) 14.913 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ (/ 1 2) 2) (+ (/ 1/2 2) 1/2))) re) 2.0)))) 14.914 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (+ (/ 1/2 2) 1/2)) 14.914 * * [simplify]: iters left: 6 (8 enodes) 14.920 * * [simplify]: iters left: 5 (34 enodes) 14.940 * * [simplify]: iters left: 4 (52 enodes) 14.946 * * [simplify]: Extracting #0: cost 1 inf + 0 14.946 * * [simplify]: Extracting #1: cost 0 inf + 1 14.946 * [simplify]: Simplified to 1 14.946 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.946 * * * * [progress]: [ 81 / 145 ] simplifiying candidate # 14.946 * [simplify]: Simplifying (hypot re im) 14.946 * * [simplify]: iters left: 1 (3 enodes) 14.947 * * [simplify]: Extracting #0: cost 1 inf + 0 14.947 * * [simplify]: Extracting #1: cost 4 inf + 0 14.947 * * [simplify]: Extracting #2: cost 2 inf + 2 14.947 * * [simplify]: Extracting #3: cost 0 inf + 116 14.947 * [simplify]: Simplified to (hypot re im) 14.947 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ (/ 1 2) 2) (+ (/ 1/2 2) (/ 1 2)))) re) 2.0)))) 14.947 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (+ (/ 1/2 2) (/ 1 2))) 14.947 * * [simplify]: iters left: 6 (8 enodes) 14.952 * * [simplify]: iters left: 5 (34 enodes) 14.963 * * [simplify]: iters left: 4 (52 enodes) 14.969 * * [simplify]: Extracting #0: cost 1 inf + 0 14.969 * * [simplify]: Extracting #1: cost 0 inf + 1 14.969 * [simplify]: Simplified to 1 14.969 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.969 * * * * [progress]: [ 82 / 145 ] simplifiying candidate # 14.969 * [simplify]: Simplifying (hypot re im) 14.969 * * [simplify]: iters left: 1 (3 enodes) 14.970 * * [simplify]: Extracting #0: cost 1 inf + 0 14.970 * * [simplify]: Extracting #1: cost 4 inf + 0 14.970 * * [simplify]: Extracting #2: cost 2 inf + 2 14.970 * * [simplify]: Extracting #3: cost 0 inf + 116 14.970 * [simplify]: Simplified to (hypot re im) 14.970 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ (/ 1 2) 2) (+ (/ (/ 1 2) 2) 1/2))) re) 2.0)))) 14.970 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (+ (/ (/ 1 2) 2) 1/2)) 14.970 * * [simplify]: iters left: 6 (7 enodes) 14.975 * * [simplify]: iters left: 5 (32 enodes) 14.982 * * [simplify]: iters left: 4 (36 enodes) 14.986 * * [simplify]: Extracting #0: cost 1 inf + 0 14.986 * * [simplify]: Extracting #1: cost 0 inf + 1 14.986 * [simplify]: Simplified to 1 14.986 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 14.986 * * * * [progress]: [ 83 / 145 ] simplifiying candidate # 14.987 * [simplify]: Simplifying (hypot re im) 14.987 * * [simplify]: iters left: 1 (3 enodes) 14.987 * * [simplify]: Extracting #0: cost 1 inf + 0 14.987 * * [simplify]: Extracting #1: cost 4 inf + 0 14.987 * * [simplify]: Extracting #2: cost 2 inf + 2 14.987 * * [simplify]: Extracting #3: cost 0 inf + 116 14.987 * [simplify]: Simplified to (hypot re im) 14.987 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) (+ (/ (/ 1 2) 2) (+ (/ (/ 1 2) 2) (/ 1 2)))) re) 2.0)))) 14.988 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (+ (/ (/ 1 2) 2) (/ 1 2))) 14.988 * * [simplify]: iters left: 6 (6 enodes) 14.993 * * [simplify]: iters left: 5 (29 enodes) 15.008 * * [simplify]: iters left: 4 (47 enodes) 15.023 * * [simplify]: Extracting #0: cost 1 inf + 0 15.023 * * [simplify]: Extracting #1: cost 0 inf + 1 15.023 * [simplify]: Simplified to 1 15.023 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (hypot re im) 1) re) 2.0)))) 15.024 * * * * [progress]: [ 84 / 145 ] simplifiying candidate # 15.024 * [simplify]: Simplifying (* (sqrt (hypot re im)) (* (sqrt (hypot re im)) (hypot re im))) 15.024 * * [simplify]: iters left: 6 (6 enodes) 15.027 * * [simplify]: iters left: 5 (22 enodes) 15.034 * * [simplify]: Extracting #0: cost 1 inf + 0 15.034 * * [simplify]: Extracting #1: cost 5 inf + 0 15.034 * * [simplify]: Extracting #2: cost 10 inf + 0 15.034 * * [simplify]: Extracting #3: cost 8 inf + 2 15.034 * * [simplify]: Extracting #4: cost 0 inf + 778 15.034 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 15.034 * [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)))) 15.035 * * * * [progress]: [ 85 / 145 ] simplifiying candidate # 15.035 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) 15.035 * * [simplify]: iters left: 6 (7 enodes) 15.038 * * [simplify]: iters left: 5 (25 enodes) 15.045 * * [simplify]: Extracting #0: cost 1 inf + 0 15.045 * * [simplify]: Extracting #1: cost 5 inf + 0 15.045 * * [simplify]: Extracting #2: cost 9 inf + 0 15.045 * * [simplify]: Extracting #3: cost 12 inf + 0 15.045 * * [simplify]: Extracting #4: cost 10 inf + 2 15.046 * * [simplify]: Extracting #5: cost 2 inf + 898 15.046 * * [simplify]: Extracting #6: cost 0 inf + 1212 15.047 * [simplify]: Simplified to (* (sqrt (hypot re im)) (sqrt (hypot re im))) 15.047 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1) re) 2.0)))) 15.047 * * * * [progress]: [ 86 / 145 ] simplifiying candidate # 15.047 * [simplify]: Simplifying (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) 15.047 * * [simplify]: iters left: 6 (7 enodes) 15.050 * * [simplify]: iters left: 5 (25 enodes) 15.058 * * [simplify]: Extracting #0: cost 1 inf + 0 15.058 * * [simplify]: Extracting #1: cost 5 inf + 0 15.058 * * [simplify]: Extracting #2: cost 9 inf + 0 15.058 * * [simplify]: Extracting #3: cost 12 inf + 0 15.058 * * [simplify]: Extracting #4: cost 10 inf + 2 15.058 * * [simplify]: Extracting #5: cost 2 inf + 898 15.059 * * [simplify]: Extracting #6: cost 0 inf + 1212 15.059 * [simplify]: Simplified to (* (sqrt (hypot re im)) (sqrt (hypot re im))) 15.059 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 1) re) 2.0)))) 15.060 * * * * [progress]: [ 87 / 145 ] simplifiying candidate # 15.060 * [simplify]: Simplifying (* (sqrt (hypot re im)) (* (sqrt (hypot re im)) (hypot re im))) 15.060 * * [simplify]: iters left: 6 (6 enodes) 15.062 * * [simplify]: iters left: 5 (22 enodes) 15.064 * * [simplify]: Extracting #0: cost 1 inf + 0 15.064 * * [simplify]: Extracting #1: cost 5 inf + 0 15.064 * * [simplify]: Extracting #2: cost 10 inf + 0 15.065 * * [simplify]: Extracting #3: cost 8 inf + 2 15.065 * * [simplify]: Extracting #4: cost 0 inf + 778 15.065 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 15.065 * [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)))) 15.065 * [simplify]: Simplifying (/ 1 2) 15.065 * * [simplify]: iters left: 2 (3 enodes) 15.067 * * [simplify]: iters left: 1 (12 enodes) 15.069 * * [simplify]: Extracting #0: cost 1 inf + 0 15.069 * * [simplify]: Extracting #1: cost 0 inf + 1 15.069 * [simplify]: Simplified to 1/2 15.069 * [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)))) 15.069 * * * * [progress]: [ 88 / 145 ] simplifiying candidate # 15.069 * * * * [progress]: [ 89 / 145 ] simplifiying candidate # 15.070 * [simplify]: Simplifying (+ (log (sqrt (sqrt (hypot re im)))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (hypot re im))))) 15.070 * * [simplify]: iters left: 6 (9 enodes) 15.072 * * [simplify]: iters left: 5 (31 enodes) 15.076 * * [simplify]: iters left: 4 (34 enodes) 15.080 * * [simplify]: Extracting #0: cost 1 inf + 0 15.080 * * [simplify]: Extracting #1: cost 6 inf + 0 15.080 * * [simplify]: Extracting #2: cost 12 inf + 0 15.080 * * [simplify]: Extracting #3: cost 15 inf + 0 15.080 * * [simplify]: Extracting #4: cost 18 inf + 0 15.080 * * [simplify]: Extracting #5: cost 16 inf + 2 15.080 * * [simplify]: Extracting #6: cost 12 inf + 310 15.080 * * [simplify]: Extracting #7: cost 6 inf + 1632 15.081 * * [simplify]: Extracting #8: cost 0 inf + 3174 15.081 * [simplify]: Simplified to (+ (log (sqrt (hypot re im))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im)))))) 15.081 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (exp (+ (log (sqrt (hypot re im))) (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))))) re) 2.0)))) 15.081 * * * * [progress]: [ 90 / 145 ] simplifiying candidate # 15.082 * [simplify]: Simplifying (+ (log (sqrt (sqrt (hypot re im)))) (log (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) 15.082 * * [simplify]: iters left: 6 (9 enodes) 15.083 * * [simplify]: iters left: 5 (31 enodes) 15.087 * * [simplify]: iters left: 4 (36 enodes) 15.092 * * [simplify]: iters left: 3 (39 enodes) 15.096 * * [simplify]: Extracting #0: cost 1 inf + 0 15.097 * * [simplify]: Extracting #1: cost 6 inf + 0 15.097 * * [simplify]: Extracting #2: cost 13 inf + 0 15.097 * * [simplify]: Extracting #3: cost 17 inf + 0 15.097 * * [simplify]: Extracting #4: cost 20 inf + 0 15.097 * * [simplify]: Extracting #5: cost 18 inf + 2 15.097 * * [simplify]: Extracting #6: cost 13 inf + 477 15.097 * * [simplify]: Extracting #7: cost 8 inf + 1552 15.098 * * [simplify]: Extracting #8: cost 1 inf + 3281 15.098 * * [simplify]: Extracting #9: cost 0 inf + 3388 15.099 * [simplify]: Simplified to (+ (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (sqrt (hypot re im)))) 15.099 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (exp (+ (+ (log (sqrt (sqrt (hypot re im)))) (log (sqrt (sqrt (hypot re im))))) (log (sqrt (hypot re im))))) re) 2.0)))) 15.099 * * * * [progress]: [ 91 / 145 ] simplifiying candidate # 15.099 * * * * [progress]: [ 92 / 145 ] simplifiying candidate # 15.099 * * * * [progress]: [ 93 / 145 ] simplifiying candidate # 15.099 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))))) 15.099 * * [simplify]: iters left: 6 (11 enodes) 15.102 * * [simplify]: iters left: 5 (44 enodes) 15.110 * * [simplify]: iters left: 4 (93 enodes) 15.137 * * [simplify]: iters left: 3 (173 enodes) 15.195 * * [simplify]: iters left: 2 (293 enodes) 15.377 * * [simplify]: Extracting #0: cost 1 inf + 0 15.378 * * [simplify]: Extracting #1: cost 61 inf + 0 15.378 * * [simplify]: Extracting #2: cost 175 inf + 4 15.379 * * [simplify]: Extracting #3: cost 174 inf + 69 15.381 * * [simplify]: Extracting #4: cost 138 inf + 9224 15.388 * * [simplify]: Extracting #5: cost 24 inf + 57288 15.405 * * [simplify]: Extracting #6: cost 0 inf + 69439 15.425 * [simplify]: Simplified to (* (* (hypot re im) (hypot re im)) (hypot re im)) 15.425 * [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)))) 15.425 * * * * [progress]: [ 94 / 145 ] simplifiying candidate # 15.426 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (hypot re im)))) (* (* (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) 15.426 * * [simplify]: iters left: 6 (11 enodes) 15.432 * * [simplify]: iters left: 5 (46 enodes) 15.451 * * [simplify]: iters left: 4 (89 enodes) 15.499 * * [simplify]: iters left: 3 (178 enodes) 15.570 * * [simplify]: iters left: 2 (338 enodes) 15.730 * * [simplify]: Extracting #0: cost 1 inf + 0 15.730 * * [simplify]: Extracting #1: cost 60 inf + 0 15.731 * * [simplify]: Extracting #2: cost 195 inf + 4 15.732 * * [simplify]: Extracting #3: cost 191 inf + 1079 15.737 * * [simplify]: Extracting #4: cost 155 inf + 11227 15.753 * * [simplify]: Extracting #5: cost 41 inf + 61148 15.770 * * [simplify]: Extracting #6: cost 0 inf + 80768 15.781 * [simplify]: Simplified to (* (hypot re im) (* (hypot re im) (hypot re im))) 15.781 * [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)))) 15.782 * * * * [progress]: [ 95 / 145 ] simplifiying candidate # 15.782 * * * * [progress]: [ 96 / 145 ] simplifiying candidate # 15.782 * * * * [progress]: [ 97 / 145 ] simplifiying candidate # 15.782 * [simplify]: Simplifying (* (sqrt (hypot re im)) (* (sqrt (hypot re im)) (hypot re im))) 15.782 * * [simplify]: iters left: 6 (6 enodes) 15.783 * * [simplify]: iters left: 5 (22 enodes) 15.786 * * [simplify]: Extracting #0: cost 1 inf + 0 15.786 * * [simplify]: Extracting #1: cost 5 inf + 0 15.786 * * [simplify]: Extracting #2: cost 10 inf + 0 15.787 * * [simplify]: Extracting #3: cost 8 inf + 2 15.787 * * [simplify]: Extracting #4: cost 0 inf + 778 15.787 * [simplify]: Simplified to (* (hypot re im) (hypot re im)) 15.787 * [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)))) 15.787 * * * * [progress]: [ 98 / 145 ] simplifiying candidate # 15.787 * * * * [progress]: [ 99 / 145 ] simplifiying candidate # 15.787 * * * * [progress]: [ 100 / 145 ] simplifiying candidate # 15.787 * [simplify]: Simplifying (sqrt (hypot re im)) 15.787 * * [simplify]: iters left: 2 (4 enodes) 15.788 * * [simplify]: iters left: 1 (12 enodes) 15.790 * * [simplify]: Extracting #0: cost 1 inf + 0 15.790 * * [simplify]: Extracting #1: cost 3 inf + 0 15.790 * * [simplify]: Extracting #2: cost 6 inf + 0 15.790 * * [simplify]: Extracting #3: cost 4 inf + 2 15.790 * * [simplify]: Extracting #4: cost 0 inf + 310 15.790 * [simplify]: Simplified to (sqrt (hypot re im)) 15.790 * [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)))) 15.790 * * * * [progress]: [ 101 / 145 ] simplifiying candidate # 15.790 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 15.790 * * [simplify]: iters left: 6 (7 enodes) 15.791 * * [simplify]: iters left: 5 (21 enodes) 15.794 * * [simplify]: Extracting #0: cost 1 inf + 0 15.794 * * [simplify]: Extracting #1: cost 3 inf + 0 15.794 * * [simplify]: Extracting #2: cost 5 inf + 0 15.794 * * [simplify]: Extracting #3: cost 7 inf + 0 15.794 * * [simplify]: Extracting #4: cost 9 inf + 0 15.794 * * [simplify]: Extracting #5: cost 12 inf + 0 15.794 * * [simplify]: Extracting #6: cost 10 inf + 2 15.794 * * [simplify]: Extracting #7: cost 1 inf + 1275 15.795 * * [simplify]: Extracting #8: cost 0 inf + 1532 15.795 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) 15.795 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (* (cbrt (sqrt (sqrt (hypot re im)))) (cbrt (sqrt (sqrt (hypot re im))))) (* (cbrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.795 * * * * [progress]: [ 102 / 145 ] simplifiying candidate # 15.795 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 15.795 * * [simplify]: iters left: 6 (7 enodes) 15.797 * * [simplify]: iters left: 5 (22 enodes) 15.803 * * [simplify]: Extracting #0: cost 1 inf + 0 15.803 * * [simplify]: Extracting #1: cost 4 inf + 0 15.803 * * [simplify]: Extracting #2: cost 7 inf + 0 15.803 * * [simplify]: Extracting #3: cost 9 inf + 0 15.803 * * [simplify]: Extracting #4: cost 12 inf + 0 15.803 * * [simplify]: Extracting #5: cost 8 inf + 116 15.803 * * [simplify]: Extracting #6: cost 1 inf + 1315 15.804 * * [simplify]: Extracting #7: cost 0 inf + 1532 15.804 * [simplify]: Simplified to (fabs (cbrt (sqrt (hypot re im)))) 15.804 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (fabs (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.805 * * * * [progress]: [ 103 / 145 ] simplifiying candidate # 15.805 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 15.805 * * [simplify]: iters left: 6 (7 enodes) 15.812 * * [simplify]: iters left: 5 (22 enodes) 15.818 * * [simplify]: Extracting #0: cost 1 inf + 0 15.818 * * [simplify]: Extracting #1: cost 3 inf + 0 15.818 * * [simplify]: Extracting #2: cost 6 inf + 0 15.818 * * [simplify]: Extracting #3: cost 9 inf + 0 15.818 * * [simplify]: Extracting #4: cost 12 inf + 0 15.819 * * [simplify]: Extracting #5: cost 8 inf + 116 15.819 * * [simplify]: Extracting #6: cost 1 inf + 1315 15.819 * * [simplify]: Extracting #7: cost 0 inf + 1532 15.820 * [simplify]: Simplified to (sqrt (fabs (cbrt (hypot re im)))) 15.820 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (fabs (cbrt (hypot re im)))) (* (sqrt (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.820 * * * * [progress]: [ 104 / 145 ] simplifiying candidate # 15.820 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 15.820 * * [simplify]: iters left: 4 (6 enodes) 15.823 * * [simplify]: iters left: 3 (18 enodes) 15.826 * * [simplify]: Extracting #0: cost 1 inf + 0 15.826 * * [simplify]: Extracting #1: cost 3 inf + 0 15.826 * * [simplify]: Extracting #2: cost 5 inf + 0 15.826 * * [simplify]: Extracting #3: cost 7 inf + 0 15.826 * * [simplify]: Extracting #4: cost 10 inf + 0 15.826 * * [simplify]: Extracting #5: cost 8 inf + 2 15.826 * * [simplify]: Extracting #6: cost 0 inf + 938 15.826 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 15.826 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.826 * * * * [progress]: [ 105 / 145 ] simplifiying candidate # 15.827 * [simplify]: Simplifying (sqrt (sqrt 1)) 15.827 * * [simplify]: iters left: 2 (3 enodes) 15.830 * * [simplify]: iters left: 1 (11 enodes) 15.832 * * [simplify]: Extracting #0: cost 1 inf + 0 15.832 * * [simplify]: Extracting #1: cost 0 inf + 1 15.832 * [simplify]: Simplified to 1 15.832 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.832 * * * * [progress]: [ 106 / 145 ] simplifiying candidate # 15.832 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 15.832 * * [simplify]: iters left: 4 (6 enodes) 15.833 * * [simplify]: iters left: 3 (18 enodes) 15.835 * * [simplify]: Extracting #0: cost 1 inf + 0 15.835 * * [simplify]: Extracting #1: cost 3 inf + 0 15.835 * * [simplify]: Extracting #2: cost 5 inf + 0 15.835 * * [simplify]: Extracting #3: cost 7 inf + 0 15.835 * * [simplify]: Extracting #4: cost 10 inf + 0 15.836 * * [simplify]: Extracting #5: cost 8 inf + 2 15.836 * * [simplify]: Extracting #6: cost 0 inf + 938 15.836 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 15.836 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.836 * * * * [progress]: [ 107 / 145 ] simplifiying candidate # 15.836 * [simplify]: Simplifying (sqrt 1) 15.836 * * [simplify]: iters left: 1 (2 enodes) 15.838 * * [simplify]: Extracting #0: cost 1 inf + 0 15.838 * * [simplify]: Extracting #1: cost 0 inf + 1 15.838 * [simplify]: Simplified to 1 15.838 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* 1 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.838 * * * * [progress]: [ 108 / 145 ] simplifiying candidate # 15.838 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 15.838 * * [simplify]: iters left: 4 (6 enodes) 15.839 * * [simplify]: iters left: 3 (18 enodes) 15.842 * * [simplify]: Extracting #0: cost 1 inf + 0 15.842 * * [simplify]: Extracting #1: cost 3 inf + 0 15.842 * * [simplify]: Extracting #2: cost 5 inf + 0 15.842 * * [simplify]: Extracting #3: cost 7 inf + 0 15.842 * * [simplify]: Extracting #4: cost 10 inf + 0 15.842 * * [simplify]: Extracting #5: cost 8 inf + 2 15.842 * * [simplify]: Extracting #6: cost 0 inf + 938 15.842 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 15.842 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))))) re) 2.0)))) 15.842 * * * * [progress]: [ 109 / 145 ] simplifiying candidate # 15.842 * * * * [progress]: [ 110 / 145 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im)))))) re) 2.0))))> 15.842 * * * * [progress]: [ 111 / 145 ] simplifiying candidate # 15.842 * * * * [progress]: [ 112 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 113 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 114 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 115 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 116 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 117 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 118 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 119 / 145 ] simplifiying candidate # 15.843 * * * * [progress]: [ 120 / 145 ] simplifiying candidate # 15.843 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) 15.843 * * [simplify]: iters left: 6 (7 enodes) 15.844 * * [simplify]: iters left: 5 (22 enodes) 15.847 * * [simplify]: Extracting #0: cost 1 inf + 0 15.847 * * [simplify]: Extracting #1: cost 4 inf + 0 15.847 * * [simplify]: Extracting #2: cost 7 inf + 0 15.847 * * [simplify]: Extracting #3: cost 9 inf + 0 15.847 * * [simplify]: Extracting #4: cost 12 inf + 0 15.847 * * [simplify]: Extracting #5: cost 8 inf + 116 15.848 * * [simplify]: Extracting #6: cost 1 inf + 1315 15.848 * * [simplify]: Extracting #7: cost 0 inf + 1532 15.848 * [simplify]: Simplified to (fabs (cbrt (sqrt (hypot re im)))) 15.848 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (fabs (cbrt (sqrt (hypot re im)))) (sqrt (cbrt (sqrt (hypot re im))))) (sqrt (hypot re im)))) re) 2.0)))) 15.848 * * * * [progress]: [ 121 / 145 ] simplifiying candidate # 15.848 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) 15.848 * * [simplify]: iters left: 6 (7 enodes) 15.850 * * [simplify]: iters left: 5 (22 enodes) 15.852 * * [simplify]: Extracting #0: cost 1 inf + 0 15.852 * * [simplify]: Extracting #1: cost 3 inf + 0 15.852 * * [simplify]: Extracting #2: cost 6 inf + 0 15.853 * * [simplify]: Extracting #3: cost 9 inf + 0 15.853 * * [simplify]: Extracting #4: cost 12 inf + 0 15.853 * * [simplify]: Extracting #5: cost 8 inf + 116 15.853 * * [simplify]: Extracting #6: cost 1 inf + 1315 15.853 * * [simplify]: Extracting #7: cost 0 inf + 1532 15.853 * [simplify]: Simplified to (sqrt (fabs (cbrt (hypot re im)))) 15.853 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (fabs (cbrt (hypot re im)))) (sqrt (sqrt (cbrt (hypot re im))))) (sqrt (hypot re im)))) re) 2.0)))) 15.853 * * * * [progress]: [ 122 / 145 ] simplifiying candidate # 15.854 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 15.854 * * [simplify]: iters left: 4 (6 enodes) 15.855 * * [simplify]: iters left: 3 (18 enodes) 15.857 * * [simplify]: Extracting #0: cost 1 inf + 0 15.857 * * [simplify]: Extracting #1: cost 3 inf + 0 15.857 * * [simplify]: Extracting #2: cost 5 inf + 0 15.857 * * [simplify]: Extracting #3: cost 7 inf + 0 15.857 * * [simplify]: Extracting #4: cost 10 inf + 0 15.857 * * [simplify]: Extracting #5: cost 8 inf + 2 15.857 * * [simplify]: Extracting #6: cost 0 inf + 938 15.858 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 15.858 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)))) re) 2.0)))) 15.858 * * * * [progress]: [ 123 / 145 ] simplifiying candidate # 15.858 * [simplify]: Simplifying (sqrt (sqrt 1)) 15.858 * * [simplify]: iters left: 2 (3 enodes) 15.863 * * [simplify]: iters left: 1 (11 enodes) 15.866 * * [simplify]: Extracting #0: cost 1 inf + 0 15.866 * * [simplify]: Extracting #1: cost 0 inf + 1 15.866 * [simplify]: Simplified to 1 15.866 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* 1 (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)))) re) 2.0)))) 15.866 * * * * [progress]: [ 124 / 145 ] simplifiying candidate # 15.866 * [simplify]: Simplifying (sqrt (sqrt (sqrt (hypot re im)))) 15.867 * * [simplify]: iters left: 4 (6 enodes) 15.869 * * [simplify]: iters left: 3 (18 enodes) 15.874 * * [simplify]: Extracting #0: cost 1 inf + 0 15.874 * * [simplify]: Extracting #1: cost 3 inf + 0 15.874 * * [simplify]: Extracting #2: cost 5 inf + 0 15.874 * * [simplify]: Extracting #3: cost 7 inf + 0 15.874 * * [simplify]: Extracting #4: cost 10 inf + 0 15.874 * * [simplify]: Extracting #5: cost 8 inf + 2 15.875 * * [simplify]: Extracting #6: cost 0 inf + 938 15.875 * [simplify]: Simplified to (sqrt (sqrt (sqrt (hypot re im)))) 15.875 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* (sqrt (sqrt (sqrt (hypot re im)))) (sqrt (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)))) re) 2.0)))) 15.875 * * * * [progress]: [ 125 / 145 ] simplifiying candidate # 15.876 * [simplify]: Simplifying (sqrt 1) 15.876 * * [simplify]: iters left: 1 (2 enodes) 15.879 * * [simplify]: Extracting #0: cost 1 inf + 0 15.879 * * [simplify]: Extracting #1: cost 0 inf + 1 15.879 * [simplify]: Simplified to 1 15.879 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (* 1 (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)))) re) 2.0)))) 15.879 * * * * [progress]: [ 126 / 145 ] simplifiying candidate # 15.879 * [simplify]: Simplifying (hypot re im) 15.879 * * [simplify]: iters left: 1 (3 enodes) 15.880 * * [simplify]: Extracting #0: cost 1 inf + 0 15.881 * * [simplify]: Extracting #1: cost 4 inf + 0 15.881 * * [simplify]: Extracting #2: cost 2 inf + 2 15.881 * * [simplify]: Extracting #3: cost 0 inf + 116 15.881 * [simplify]: Simplified to (hypot re im) 15.881 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (pow (hypot re im) (/ 1/2 2)) (sqrt (hypot re im)))) re) 2.0)))) 15.881 * * * * [progress]: [ 127 / 145 ] simplifiying candidate # 15.881 * [simplify]: Simplifying (sqrt (hypot re im)) 15.881 * * [simplify]: iters left: 2 (4 enodes) 15.883 * * [simplify]: iters left: 1 (12 enodes) 15.886 * * [simplify]: Extracting #0: cost 1 inf + 0 15.886 * * [simplify]: Extracting #1: cost 3 inf + 0 15.886 * * [simplify]: Extracting #2: cost 6 inf + 0 15.886 * * [simplify]: Extracting #3: cost 4 inf + 2 15.886 * * [simplify]: Extracting #4: cost 0 inf + 310 15.887 * [simplify]: Simplified to (sqrt (hypot re im)) 15.887 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (pow (sqrt (hypot re im)) (/ 1 2)) (sqrt (hypot re im)))) re) 2.0)))) 15.887 * * * * [progress]: [ 128 / 145 ] simplifiying candidate # 15.887 * [simplify]: Simplifying (hypot re im) 15.887 * * [simplify]: iters left: 1 (3 enodes) 15.888 * * [simplify]: Extracting #0: cost 1 inf + 0 15.888 * * [simplify]: Extracting #1: cost 4 inf + 0 15.889 * * [simplify]: Extracting #2: cost 2 inf + 2 15.889 * * [simplify]: Extracting #3: cost 0 inf + 116 15.889 * [simplify]: Simplified to (hypot re im) 15.889 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (pow (hypot re im) (/ (/ 1 2) 2)) (sqrt (hypot re im)))) re) 2.0)))) 15.889 * * * * [progress]: [ 129 / 145 ] simplifiying candidate # 15.889 * * * * [progress]: [ 130 / 145 ] simplifiying candidate # 15.889 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 15.889 * * [simplify]: iters left: 3 (5 enodes) 15.891 * * [simplify]: iters left: 2 (15 enodes) 15.895 * * [simplify]: Extracting #0: cost 1 inf + 0 15.895 * * [simplify]: Extracting #1: cost 3 inf + 0 15.895 * * [simplify]: Extracting #2: cost 5 inf + 0 15.895 * * [simplify]: Extracting #3: cost 8 inf + 0 15.896 * * [simplify]: Extracting #4: cost 6 inf + 2 15.896 * * [simplify]: Extracting #5: cost 0 inf + 584 15.896 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 15.896 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (fabs (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)))) re) 2.0)))) 15.896 * * * * [progress]: [ 131 / 145 ] simplifiying candidate # 15.897 * [simplify]: Simplifying (sqrt (sqrt (hypot re im))) 15.897 * * [simplify]: iters left: 3 (5 enodes) 15.899 * * [simplify]: iters left: 2 (15 enodes) 15.902 * * [simplify]: Extracting #0: cost 1 inf + 0 15.903 * * [simplify]: Extracting #1: cost 3 inf + 0 15.903 * * [simplify]: Extracting #2: cost 5 inf + 0 15.903 * * [simplify]: Extracting #3: cost 8 inf + 0 15.903 * * [simplify]: Extracting #4: cost 6 inf + 2 15.903 * * [simplify]: Extracting #5: cost 0 inf + 584 15.903 * [simplify]: Simplified to (sqrt (sqrt (hypot re im))) 15.903 * [simplify]: Simplified (2 2 1 1 1 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (fabs (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)))) re) 2.0)))) 15.903 * * * * [progress]: [ 132 / 145 ] simplifiying candidate # 15.903 * * * * [progress]: [ 133 / 145 ] simplifiying candidate #real (real->posit16 (sqrt (sqrt (hypot re im))))) (sqrt (hypot re im)))) re) 2.0))))> 15.903 * * * * [progress]: [ 134 / 145 ] simplifiying candidate # 15.904 * [simplify]: Simplifying (+ re im) 15.904 * * [simplify]: iters left: 2 (3 enodes) 15.905 * * [simplify]: iters left: 1 (10 enodes) 15.908 * * [simplify]: Extracting #0: cost 1 inf + 0 15.908 * * [simplify]: Extracting #1: cost 4 inf + 0 15.908 * * [simplify]: Extracting #2: cost 2 inf + 2 15.908 * * [simplify]: Extracting #3: cost 0 inf + 86 15.908 * [simplify]: Simplified to (+ im re) 15.908 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 15.908 * * * * [progress]: [ 135 / 145 ] simplifiying candidate # 15.908 * [simplify]: Simplifying (* 2 re) 15.908 * * [simplify]: iters left: 2 (3 enodes) 15.910 * * [simplify]: iters left: 1 (10 enodes) 15.913 * * [simplify]: Extracting #0: cost 1 inf + 0 15.914 * * [simplify]: Extracting #1: cost 4 inf + 0 15.914 * * [simplify]: Extracting #2: cost 2 inf + 2 15.914 * * [simplify]: Extracting #3: cost 0 inf + 86 15.914 * [simplify]: Simplified to (* 2 re) 15.914 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 15.914 * * * * [progress]: [ 136 / 145 ] simplifiying candidate # 15.914 * [simplify]: Simplifying 0 15.914 * * [simplify]: iters left: 0 (1 enodes) 15.915 * * [simplify]: Extracting #0: cost 1 inf + 0 15.915 * * [simplify]: Extracting #1: cost 0 inf + 1 15.915 * [simplify]: Simplified to 0 15.915 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 15.915 * * * * [progress]: [ 137 / 145 ] simplifiying candidate # 15.916 * [simplify]: Simplifying (+ (pow im 3/4) (* 3/8 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/4)))) 15.916 * * [simplify]: iters left: 6 (16 enodes) 15.927 * * [simplify]: iters left: 5 (70 enodes) 15.951 * * [simplify]: iters left: 4 (136 enodes) 15.990 * * [simplify]: iters left: 3 (301 enodes) 16.124 * * [simplify]: Extracting #0: cost 1 inf + 0 16.124 * * [simplify]: Extracting #1: cost 9 inf + 0 16.125 * * [simplify]: Extracting #2: cost 61 inf + 1 16.125 * * [simplify]: Extracting #3: cost 120 inf + 170 16.126 * * [simplify]: Extracting #4: cost 116 inf + 2541 16.128 * * [simplify]: Extracting #5: cost 113 inf + 5839 16.131 * * [simplify]: Extracting #6: cost 78 inf + 22375 16.141 * * [simplify]: Extracting #7: cost 18 inf + 59854 16.152 * * [simplify]: Extracting #8: cost 1 inf + 69196 16.158 * * [simplify]: Extracting #9: cost 0 inf + 69369 16.164 * [simplify]: Simplified to (fma (* (* 3/8 re) re) (pow (/ 1 (pow im 5)) 1/4) (pow im 3/4)) 16.164 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (fma (* (* 3/8 re) re) (pow (/ 1 (pow im 5)) 1/4) (pow im 3/4))) re) 2.0)))) 16.165 * * * * [progress]: [ 138 / 145 ] simplifiying candidate # 16.165 * [simplify]: Simplifying (pow (/ 1 re) -3/4) 16.165 * * [simplify]: iters left: 3 (5 enodes) 16.167 * * [simplify]: iters left: 2 (22 enodes) 16.176 * * [simplify]: iters left: 1 (38 enodes) 16.187 * * [simplify]: Extracting #0: cost 1 inf + 0 16.188 * * [simplify]: Extracting #1: cost 9 inf + 0 16.188 * * [simplify]: Extracting #2: cost 16 inf + 1 16.188 * * [simplify]: Extracting #3: cost 13 inf + 5 16.188 * * [simplify]: Extracting #4: cost 6 inf + 1102 16.188 * * [simplify]: Extracting #5: cost 0 inf + 3162 16.189 * [simplify]: Simplified to (pow (/ 1 re) -3/4) 16.189 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (/ 1 re) -3/4)) re) 2.0)))) 16.189 * * * * [progress]: [ 139 / 145 ] simplifiying candidate # 16.189 * [simplify]: Simplifying (pow (/ -1 re) -3/4) 16.189 * * [simplify]: iters left: 3 (5 enodes) 16.193 * * [simplify]: iters left: 2 (20 enodes) 16.201 * * [simplify]: iters left: 1 (34 enodes) 16.211 * * [simplify]: Extracting #0: cost 1 inf + 0 16.211 * * [simplify]: Extracting #1: cost 9 inf + 0 16.211 * * [simplify]: Extracting #2: cost 16 inf + 1 16.211 * * [simplify]: Extracting #3: cost 13 inf + 5 16.211 * * [simplify]: Extracting #4: cost 4 inf + 1648 16.211 * * [simplify]: Extracting #5: cost 0 inf + 3162 16.212 * [simplify]: Simplified to (pow (/ -1 re) -3/4) 16.212 * [simplify]: Simplified (2 2 1 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (pow (/ -1 re) -3/4)) re) 2.0)))) 16.212 * * * * [progress]: [ 140 / 145 ] simplifiying candidate # 16.212 * [simplify]: Simplifying im 16.212 * * [simplify]: iters left: 0 (1 enodes) 16.212 * * [simplify]: Extracting #0: cost 1 inf + 0 16.212 * * [simplify]: Extracting #1: cost 0 inf + 1 16.212 * [simplify]: Simplified to im 16.212 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 16.212 * * * * [progress]: [ 141 / 145 ] simplifiying candidate # 16.212 * [simplify]: Simplifying re 16.213 * * [simplify]: iters left: 0 (1 enodes) 16.213 * * [simplify]: Extracting #0: cost 1 inf + 0 16.213 * * [simplify]: Extracting #1: cost 0 inf + 1 16.213 * [simplify]: Simplified to re 16.213 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ re re) 2.0)))) 16.213 * * * * [progress]: [ 142 / 145 ] simplifiying candidate # 16.213 * [simplify]: Simplifying (* -1 re) 16.213 * * [simplify]: iters left: 2 (3 enodes) 16.214 * * [simplify]: iters left: 1 (11 enodes) 16.216 * * [simplify]: Extracting #0: cost 1 inf + 0 16.216 * * [simplify]: Extracting #1: cost 4 inf + 0 16.216 * * [simplify]: Extracting #2: cost 0 inf + 84 16.216 * [simplify]: Simplified to (- re) 16.216 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ (- re) re) 2.0)))) 16.216 * * * * [progress]: [ 143 / 145 ] simplifiying candidate # 16.216 * [simplify]: Simplifying (+ (* 1/8 (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4))) (pow im 1/4)) 16.216 * * [simplify]: iters left: 6 (15 enodes) 16.223 * * [simplify]: iters left: 5 (66 enodes) 16.239 * * [simplify]: iters left: 4 (128 enodes) 16.276 * * [simplify]: iters left: 3 (291 enodes) 16.401 * * [simplify]: Extracting #0: cost 1 inf + 0 16.401 * * [simplify]: Extracting #1: cost 9 inf + 0 16.402 * * [simplify]: Extracting #2: cost 59 inf + 1 16.408 * * [simplify]: Extracting #3: cost 114 inf + 932 16.409 * * [simplify]: Extracting #4: cost 121 inf + 940 16.410 * * [simplify]: Extracting #5: cost 115 inf + 4193 16.413 * * [simplify]: Extracting #6: cost 71 inf + 23682 16.418 * * [simplify]: Extracting #7: cost 10 inf + 61048 16.424 * * [simplify]: Extracting #8: cost 0 inf + 67127 16.430 * * [simplify]: Extracting #9: cost 0 inf + 67087 16.436 * [simplify]: Simplified to (fma 1/8 (* (pow (/ 1 (pow im 7)) 1/4) (* re re)) (pow im 1/4)) 16.436 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (fma 1/8 (* (pow (/ 1 (pow im 7)) 1/4) (* re re)) (pow im 1/4)) (sqrt (hypot re im)))) re) 2.0)))) 16.436 * * * * [progress]: [ 144 / 145 ] simplifiying candidate # 16.436 * [simplify]: Simplifying (pow (/ 1 re) -1/4) 16.436 * * [simplify]: iters left: 3 (5 enodes) 16.439 * * [simplify]: iters left: 2 (22 enodes) 16.445 * * [simplify]: iters left: 1 (38 enodes) 16.461 * * [simplify]: Extracting #0: cost 1 inf + 0 16.461 * * [simplify]: Extracting #1: cost 9 inf + 0 16.461 * * [simplify]: Extracting #2: cost 16 inf + 1 16.461 * * [simplify]: Extracting #3: cost 13 inf + 5 16.461 * * [simplify]: Extracting #4: cost 6 inf + 1102 16.461 * * [simplify]: Extracting #5: cost 0 inf + 3162 16.461 * [simplify]: Simplified to (pow (/ 1 re) -1/4) 16.461 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (pow (/ 1 re) -1/4) (sqrt (hypot re im)))) re) 2.0)))) 16.462 * * * * [progress]: [ 145 / 145 ] simplifiying candidate # 16.462 * [simplify]: Simplifying (pow (/ -1 re) -1/4) 16.462 * * [simplify]: iters left: 3 (5 enodes) 16.464 * * [simplify]: iters left: 2 (20 enodes) 16.469 * * [simplify]: iters left: 1 (34 enodes) 16.477 * * [simplify]: Extracting #0: cost 1 inf + 0 16.477 * * [simplify]: Extracting #1: cost 9 inf + 0 16.477 * * [simplify]: Extracting #2: cost 16 inf + 1 16.477 * * [simplify]: Extracting #3: cost 13 inf + 5 16.477 * * [simplify]: Extracting #4: cost 4 inf + 1648 16.477 * * [simplify]: Extracting #5: cost 0 inf + 3162 16.477 * [simplify]: Simplified to (pow (/ -1 re) -1/4) 16.477 * [simplify]: Simplified (2 2 1 1 1 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ (* (sqrt (sqrt (hypot re im))) (* (pow (/ -1 re) -1/4) (sqrt (hypot re im)))) re) 2.0)))) 16.478 * * * [progress]: adding candidates to table 18.369 * [progress]: [Phase 3 of 3] Extracting. 18.369 * * [regime]: Finding splitpoints for: (# # #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> # #real (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))))> # # # # # # # # # # #) 18.374 * * * [regime-changes]: Trying 2 branch expressions: (im re) 18.374 * * * * [regimes]: Trying to branch on im from (# # #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> # #real (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))))> # # # # # # # # # # #) 18.470 * * * * [regimes]: Trying to branch on re from (# # #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> # #real (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))))> # # # # # # # # # # #) 18.590 * * * [regime]: Found split indices: #