0.002 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.100 * * * [progress]: [2/2] Setting up program. 0.104 * [progress]: [Phase 2 of 3] Improving. 0.104 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.104 * [simplify]: Simplifying (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.104 * * [simplify]: iters left: 6 (12 enodes) 0.107 * * [simplify]: iters left: 5 (48 enodes) 0.115 * * [simplify]: iters left: 4 (62 enodes) 0.130 * * [simplify]: iters left: 3 (64 enodes) 0.145 * * [simplify]: Extracting #0: cost 1 inf + 0 0.145 * * [simplify]: Extracting #1: cost 4 inf + 0 0.145 * * [simplify]: Extracting #2: cost 5 inf + 1 0.145 * * [simplify]: Extracting #3: cost 12 inf + 1 0.145 * * [simplify]: Extracting #4: cost 15 inf + 45 0.145 * * [simplify]: Extracting #5: cost 14 inf + 298 0.146 * * [simplify]: Extracting #6: cost 7 inf + 1295 0.147 * * [simplify]: Extracting #7: cost 0 inf + 2035 0.147 * * [simplify]: Extracting #8: cost 0 inf + 2020 0.148 * [simplify]: Simplified to (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.148 * [simplify]: Simplified (2) to (λ (re im) (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0)))) 0.161 * * [progress]: iteration 1 / 4 0.161 * * * [progress]: picking best candidate 0.171 * * * * [pick]: Picked # 0.171 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 0.208 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.224 * * * [progress]: generating series expansions 0.224 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 0.224 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.224 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.224 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.224 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.225 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.225 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.225 * [taylor]: Taking taylor expansion of (* re re) in im 0.225 * [taylor]: Taking taylor expansion of re in im 0.225 * [backup-simplify]: Simplify re into re 0.225 * [taylor]: Taking taylor expansion of re in im 0.225 * [backup-simplify]: Simplify re into re 0.225 * [taylor]: Taking taylor expansion of (* im im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.225 * [backup-simplify]: Simplify (* 0 0) into 0 0.225 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.225 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.225 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.226 * [taylor]: Taking taylor expansion of re in im 0.226 * [backup-simplify]: Simplify re into re 0.226 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.226 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.226 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.226 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.226 * [taylor]: Taking taylor expansion of (* re 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 0.226 * [taylor]: Taking taylor expansion of re in re 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (* im im) in re 0.226 * [taylor]: Taking taylor expansion of im in re 0.226 * [backup-simplify]: Simplify im into im 0.226 * [taylor]: Taking taylor expansion of im in re 0.226 * [backup-simplify]: Simplify im into im 0.227 * [backup-simplify]: Simplify (* 0 0) into 0 0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.227 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.227 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.227 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.228 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.228 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.228 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.228 * [taylor]: Taking taylor expansion of (* re re) in re 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (* im im) in re 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [backup-simplify]: Simplify im into im 0.228 * [taylor]: Taking taylor expansion of im in re 0.228 * [backup-simplify]: Simplify im into im 0.228 * [backup-simplify]: Simplify (* 0 0) into 0 0.228 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.228 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.228 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.229 * [taylor]: Taking taylor expansion of re in re 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ im 0) into im 0.229 * [taylor]: Taking taylor expansion of im in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.230 * [taylor]: Taking taylor expansion of 1 in im 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.230 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.231 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.231 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.231 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.231 * [taylor]: Taking taylor expansion of 1/2 in im 0.231 * [backup-simplify]: Simplify 1/2 into 1/2 0.231 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.236 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.236 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.236 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.236 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.236 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.236 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.236 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.240 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.240 * [taylor]: Taking taylor expansion of re in re 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.241 * [taylor]: Taking taylor expansion of im in re 0.241 * [backup-simplify]: Simplify im into im 0.241 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.241 * [taylor]: Taking taylor expansion of im in re 0.241 * [backup-simplify]: Simplify im into im 0.241 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.242 * [backup-simplify]: Simplify (sqrt 1) into 1 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.244 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.244 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.245 * [taylor]: Taking taylor expansion of re in re 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.245 * [taylor]: Taking taylor expansion of re in re 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.246 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.246 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.246 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [backup-simplify]: Simplify (sqrt 1) into 1 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.251 * [backup-simplify]: Simplify (+ 1 1) into 2 0.251 * [taylor]: Taking taylor expansion of 2 in im 0.251 * [backup-simplify]: Simplify 2 into 2 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in im 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 2 into 2 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.256 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.257 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.257 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.257 * [taylor]: Taking taylor expansion of 1/2 in im 0.257 * [backup-simplify]: Simplify 1/2 into 1/2 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.257 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.257 * [taylor]: Taking taylor expansion of im in im 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in im 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.270 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.270 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.270 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.270 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.270 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.270 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.270 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.270 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.270 * [taylor]: Taking taylor expansion of -1 in im 0.270 * [backup-simplify]: Simplify -1 into -1 0.270 * [taylor]: Taking taylor expansion of re in im 0.271 * [backup-simplify]: Simplify re into re 0.271 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.271 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.271 * [taylor]: Taking taylor expansion of -1 in im 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of re in im 0.271 * [backup-simplify]: Simplify re into re 0.271 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.271 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.271 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.271 * [taylor]: Taking taylor expansion of -1 in im 0.271 * [backup-simplify]: Simplify -1 into -1 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ -1 1) into -1 0.271 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.271 * [taylor]: Taking taylor expansion of -1 in im 0.271 * [backup-simplify]: Simplify -1 into -1 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (/ -1 1) into -1 0.272 * [backup-simplify]: Simplify (* -1 -1) into 1 0.272 * [backup-simplify]: Simplify (+ 0 1) into 1 0.273 * [backup-simplify]: Simplify (sqrt 1) into 1 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.275 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.275 * [taylor]: Taking taylor expansion of re in im 0.275 * [backup-simplify]: Simplify re into re 0.275 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.275 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.275 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.275 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.275 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.275 * [taylor]: Taking taylor expansion of -1 in re 0.275 * [backup-simplify]: Simplify -1 into -1 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ -1 1) into -1 0.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.275 * [taylor]: Taking taylor expansion of -1 in re 0.275 * [backup-simplify]: Simplify -1 into -1 0.275 * [taylor]: Taking taylor expansion of re in re 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (/ -1 1) into -1 0.276 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.276 * [taylor]: Taking taylor expansion of -1 in re 0.276 * [backup-simplify]: Simplify -1 into -1 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [backup-simplify]: Simplify im into im 0.276 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.276 * [taylor]: Taking taylor expansion of -1 in re 0.276 * [backup-simplify]: Simplify -1 into -1 0.276 * [taylor]: Taking taylor expansion of im in re 0.276 * [backup-simplify]: Simplify im into im 0.276 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.276 * [backup-simplify]: Simplify (* -1 -1) into 1 0.277 * [backup-simplify]: Simplify (+ 1 0) into 1 0.277 * [backup-simplify]: Simplify (sqrt 1) into 1 0.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.279 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.279 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.279 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.279 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.279 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.279 * [taylor]: Taking taylor expansion of -1 in re 0.279 * [backup-simplify]: Simplify -1 into -1 0.279 * [taylor]: Taking taylor expansion of re in re 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ -1 1) into -1 0.280 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.280 * [taylor]: Taking taylor expansion of -1 in re 0.280 * [backup-simplify]: Simplify -1 into -1 0.280 * [taylor]: Taking taylor expansion of re in re 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 0.280 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.280 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.280 * [taylor]: Taking taylor expansion of -1 in re 0.280 * [backup-simplify]: Simplify -1 into -1 0.280 * [taylor]: Taking taylor expansion of im in re 0.280 * [backup-simplify]: Simplify im into im 0.280 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.280 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.280 * [taylor]: Taking taylor expansion of -1 in re 0.280 * [backup-simplify]: Simplify -1 into -1 0.280 * [taylor]: Taking taylor expansion of im in re 0.280 * [backup-simplify]: Simplify im into im 0.280 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.281 * [backup-simplify]: Simplify (* -1 -1) into 1 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.281 * [backup-simplify]: Simplify (sqrt 1) into 1 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.283 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.283 * [taylor]: Taking taylor expansion of re in re 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [backup-simplify]: Simplify (- 1) into -1 0.284 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.284 * [taylor]: Taking taylor expansion of 0 in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.287 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.287 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.288 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.289 * [taylor]: Taking taylor expansion of 1/2 in im 0.289 * [backup-simplify]: Simplify 1/2 into 1/2 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.289 * [taylor]: Taking taylor expansion of im in im 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.293 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.297 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.297 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.297 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.297 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 0.297 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.297 * [taylor]: Taking taylor expansion of 2.0 in im 0.297 * [backup-simplify]: Simplify 2.0 into 2.0 0.297 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.297 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.297 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.297 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.298 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.298 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.298 * [taylor]: Taking taylor expansion of (* re re) in im 0.298 * [taylor]: Taking taylor expansion of re in im 0.298 * [backup-simplify]: Simplify re into re 0.298 * [taylor]: Taking taylor expansion of re in im 0.298 * [backup-simplify]: Simplify re into re 0.298 * [taylor]: Taking taylor expansion of (* im im) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [taylor]: Taking taylor expansion of im in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.298 * [backup-simplify]: Simplify (* 0 0) into 0 0.298 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.298 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.298 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.299 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.299 * [taylor]: Taking taylor expansion of re in im 0.299 * [backup-simplify]: Simplify re into re 0.299 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.299 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.299 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.299 * [taylor]: Taking taylor expansion of 2.0 in re 0.299 * [backup-simplify]: Simplify 2.0 into 2.0 0.300 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.300 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.300 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.300 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.300 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.300 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.300 * [taylor]: Taking taylor expansion of (* re re) in re 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of re in re 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [taylor]: Taking taylor expansion of (* im im) in re 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [backup-simplify]: Simplify im into im 0.301 * [taylor]: Taking taylor expansion of im in re 0.301 * [backup-simplify]: Simplify im into im 0.301 * [backup-simplify]: Simplify (* 0 0) into 0 0.301 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.301 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.301 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.302 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 * [backup-simplify]: Simplify (+ im 0) into im 0.303 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.303 * [backup-simplify]: Simplify (+ 0 1) into 1 0.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.304 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.304 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.304 * [taylor]: Taking taylor expansion of 2.0 in re 0.304 * [backup-simplify]: Simplify 2.0 into 2.0 0.304 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.305 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.305 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.305 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.305 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.305 * [taylor]: Taking taylor expansion of (* re re) in re 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [backup-simplify]: Simplify im into im 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [backup-simplify]: Simplify im into im 0.306 * [backup-simplify]: Simplify (* 0 0) into 0 0.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.306 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.306 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.307 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.307 * [taylor]: Taking taylor expansion of re in re 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ im 0) into im 0.307 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.308 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.308 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.308 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.310 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.310 * [taylor]: Taking taylor expansion of im in im 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (sqrt 0) into 0 0.312 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.312 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.313 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.313 * [taylor]: Taking taylor expansion of 1/2 in im 0.313 * [backup-simplify]: Simplify 1/2 into 1/2 0.313 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.313 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.313 * [taylor]: Taking taylor expansion of 2.0 in im 0.313 * [backup-simplify]: Simplify 2.0 into 2.0 0.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.314 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.314 * [taylor]: Taking taylor expansion of im in im 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (sqrt 0) into 0 0.317 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.319 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.319 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.326 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.329 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.330 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.331 * [backup-simplify]: Simplify (+ 1 0) into 1 0.332 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.332 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.332 * [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)))) 0.334 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.334 * [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))))) 0.334 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.334 * [taylor]: Taking taylor expansion of 1/8 in im 0.334 * [backup-simplify]: Simplify 1/8 into 1/8 0.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.334 * [taylor]: Taking taylor expansion of 2.0 in im 0.335 * [backup-simplify]: Simplify 2.0 into 2.0 0.335 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.336 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.336 * [taylor]: Taking taylor expansion of im in im 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (* 1 1) into 1 0.337 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (sqrt 0) into 0 0.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.353 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.354 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.365 * [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))))))) 0.366 * [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))))) 0.366 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.366 * [taylor]: Taking taylor expansion of 2.0 in im 0.366 * [backup-simplify]: Simplify 2.0 into 2.0 0.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [backup-simplify]: Simplify re into re 0.367 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.367 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.367 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.367 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [backup-simplify]: Simplify re into re 0.367 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.368 * [backup-simplify]: Simplify re into re 0.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.369 * [backup-simplify]: Simplify (/ 1 1) into 1 0.369 * [backup-simplify]: Simplify (* 1 1) into 1 0.369 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [backup-simplify]: Simplify (sqrt 1) into 1 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 1) into 1 0.375 * [backup-simplify]: Simplify (sqrt 0) into 0 0.376 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.376 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.377 * [taylor]: Taking taylor expansion of 2.0 in re 0.377 * [backup-simplify]: Simplify 2.0 into 2.0 0.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.377 * [taylor]: Taking taylor expansion of re in re 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.378 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.378 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.378 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.378 * [taylor]: Taking taylor expansion of re in re 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.378 * [taylor]: Taking taylor expansion of re in re 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.379 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.379 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.379 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.379 * [backup-simplify]: Simplify (+ 1 0) into 1 0.379 * [backup-simplify]: Simplify (sqrt 1) into 1 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.382 * [backup-simplify]: Simplify (+ 1 1) into 2 0.382 * [backup-simplify]: Simplify (sqrt 0) into 0 0.383 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.383 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.383 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.383 * [taylor]: Taking taylor expansion of 2.0 in re 0.383 * [backup-simplify]: Simplify 2.0 into 2.0 0.383 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.384 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.384 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify (/ 1 1) into 1 0.385 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [backup-simplify]: Simplify im into im 0.385 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.385 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.385 * [taylor]: Taking taylor expansion of im in re 0.385 * [backup-simplify]: Simplify im into im 0.385 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.386 * [backup-simplify]: Simplify (sqrt 1) into 1 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.388 * [backup-simplify]: Simplify (+ 1 1) into 2 0.388 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.389 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.389 * [taylor]: Taking taylor expansion of 0 in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.391 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.391 * [taylor]: Taking taylor expansion of +nan.0 in im 0.391 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.391 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.391 * [taylor]: Taking taylor expansion of 2.0 in im 0.391 * [backup-simplify]: Simplify 2.0 into 2.0 0.391 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.391 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.395 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.396 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.396 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.396 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.396 * [taylor]: Taking taylor expansion of +nan.0 in im 0.396 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.396 * [taylor]: Taking taylor expansion of 2.0 in im 0.396 * [backup-simplify]: Simplify 2.0 into 2.0 0.397 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.398 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.399 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.400 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.400 * [backup-simplify]: Simplify 0 into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.403 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.404 * [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)) 0.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.406 * [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)))))) 0.406 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.406 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.406 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.406 * [taylor]: Taking taylor expansion of +nan.0 in im 0.406 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.406 * [taylor]: Taking taylor expansion of 2.0 in im 0.406 * [backup-simplify]: Simplify 2.0 into 2.0 0.406 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.407 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.407 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.407 * [taylor]: Taking taylor expansion of +nan.0 in im 0.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.407 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.407 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.407 * [taylor]: Taking taylor expansion of 2.0 in im 0.407 * [backup-simplify]: Simplify 2.0 into 2.0 0.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.408 * [taylor]: Taking taylor expansion of im in im 0.408 * [backup-simplify]: Simplify 0 into 0 0.408 * [backup-simplify]: Simplify 1 into 1 0.408 * [backup-simplify]: Simplify (* 1 1) into 1 0.409 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.410 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.410 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [backup-simplify]: Simplify (- 0) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.412 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.413 * [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 0.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.418 * [backup-simplify]: Simplify (+ 0 0) into 0 0.418 * [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 0.421 * [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)))))) 0.421 * [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)) (- (* +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) 0.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.422 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.422 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.422 * [taylor]: Taking taylor expansion of +nan.0 in im 0.422 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.422 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.422 * [taylor]: Taking taylor expansion of 2.0 in im 0.422 * [backup-simplify]: Simplify 2.0 into 2.0 0.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.423 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.423 * [taylor]: Taking taylor expansion of im in im 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 1 into 1 0.423 * [backup-simplify]: Simplify (* 1 1) into 1 0.423 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.425 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.427 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.429 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.429 * [backup-simplify]: Simplify (- 0) into 0 0.430 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.432 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.433 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.438 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0.439 * [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)))) 0.439 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.439 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.439 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.439 * [taylor]: Taking taylor expansion of 2.0 in im 0.439 * [backup-simplify]: Simplify 2.0 into 2.0 0.439 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.440 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.440 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.440 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.440 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.440 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.440 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.440 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.440 * [taylor]: Taking taylor expansion of -1 in im 0.440 * [backup-simplify]: Simplify -1 into -1 0.440 * [taylor]: Taking taylor expansion of re in im 0.440 * [backup-simplify]: Simplify re into re 0.441 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.441 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.441 * [taylor]: Taking taylor expansion of -1 in im 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of re in im 0.441 * [backup-simplify]: Simplify re into re 0.441 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.441 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.441 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.441 * [taylor]: Taking taylor expansion of -1 in im 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [backup-simplify]: Simplify 0 into 0 0.441 * [backup-simplify]: Simplify 1 into 1 0.441 * [backup-simplify]: Simplify (/ -1 1) into -1 0.441 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.441 * [taylor]: Taking taylor expansion of -1 in im 0.441 * [backup-simplify]: Simplify -1 into -1 0.441 * [taylor]: Taking taylor expansion of im in im 0.441 * [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 * [backup-simplify]: Simplify (* -1 -1) into 1 0.443 * [backup-simplify]: Simplify (+ 0 1) into 1 0.443 * [backup-simplify]: Simplify (sqrt 1) into 1 0.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.446 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.446 * [backup-simplify]: Simplify (+ 0 0) into 0 0.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.447 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.447 * [taylor]: Taking taylor expansion of re in im 0.447 * [backup-simplify]: Simplify re into re 0.447 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.447 * [backup-simplify]: Simplify (+ 1 0) into 1 0.448 * [backup-simplify]: Simplify (sqrt 0) into 0 0.449 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.449 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.449 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.449 * [taylor]: Taking taylor expansion of 2.0 in re 0.449 * [backup-simplify]: Simplify 2.0 into 2.0 0.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.453 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.453 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.453 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.453 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.453 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.453 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 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 0.454 * [backup-simplify]: Simplify (/ -1 1) into -1 0.454 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.454 * [taylor]: Taking taylor expansion of -1 in re 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [taylor]: Taking taylor expansion of re in re 0.454 * [backup-simplify]: Simplify 0 into 0 0.454 * [backup-simplify]: Simplify 1 into 1 0.454 * [backup-simplify]: Simplify (/ -1 1) into -1 0.454 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.454 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.454 * [taylor]: Taking taylor expansion of -1 in re 0.454 * [backup-simplify]: Simplify -1 into -1 0.454 * [taylor]: Taking taylor expansion of im in re 0.454 * [backup-simplify]: Simplify im into im 0.454 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.454 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.455 * [taylor]: Taking taylor expansion of -1 in re 0.455 * [backup-simplify]: Simplify -1 into -1 0.455 * [taylor]: Taking taylor expansion of im in re 0.455 * [backup-simplify]: Simplify im into im 0.455 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.455 * [backup-simplify]: Simplify (* -1 -1) into 1 0.455 * [backup-simplify]: Simplify (+ 1 0) into 1 0.456 * [backup-simplify]: Simplify (sqrt 1) into 1 0.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.458 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.459 * [backup-simplify]: Simplify (+ 0 0) into 0 0.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.459 * [taylor]: Taking taylor expansion of re in re 0.459 * [backup-simplify]: Simplify 0 into 0 0.459 * [backup-simplify]: Simplify 1 into 1 0.460 * [backup-simplify]: Simplify (/ 1 1) into 1 0.460 * [backup-simplify]: Simplify (- 1) into -1 0.461 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.462 * [backup-simplify]: Simplify (- 0) into 0 0.462 * [backup-simplify]: Simplify (+ 0 0) into 0 0.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.465 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.465 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.467 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.468 * [backup-simplify]: Simplify (- 0) into 0 0.468 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.468 * [backup-simplify]: Simplify (sqrt 0) into 0 0.469 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.469 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.469 * [taylor]: Taking taylor expansion of 2.0 in re 0.469 * [backup-simplify]: Simplify 2.0 into 2.0 0.470 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.470 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.470 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.470 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.470 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.471 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.471 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.471 * [taylor]: Taking taylor expansion of -1 in re 0.471 * [backup-simplify]: Simplify -1 into -1 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.471 * [backup-simplify]: Simplify (/ -1 1) into -1 0.471 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.471 * [taylor]: Taking taylor expansion of -1 in re 0.471 * [backup-simplify]: Simplify -1 into -1 0.471 * [taylor]: Taking taylor expansion of re in re 0.471 * [backup-simplify]: Simplify 0 into 0 0.471 * [backup-simplify]: Simplify 1 into 1 0.472 * [backup-simplify]: Simplify (/ -1 1) into -1 0.472 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.472 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.472 * [taylor]: Taking taylor expansion of -1 in re 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [backup-simplify]: Simplify im into im 0.472 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.472 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.472 * [taylor]: Taking taylor expansion of -1 in re 0.472 * [backup-simplify]: Simplify -1 into -1 0.472 * [taylor]: Taking taylor expansion of im in re 0.472 * [backup-simplify]: Simplify im into im 0.472 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.473 * [backup-simplify]: Simplify (* -1 -1) into 1 0.473 * [backup-simplify]: Simplify (+ 1 0) into 1 0.473 * [backup-simplify]: Simplify (sqrt 1) into 1 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.476 * [backup-simplify]: Simplify (+ 0 0) into 0 0.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.477 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.477 * [taylor]: Taking taylor expansion of re in re 0.477 * [backup-simplify]: Simplify 0 into 0 0.477 * [backup-simplify]: Simplify 1 into 1 0.477 * [backup-simplify]: Simplify (/ 1 1) into 1 0.478 * [backup-simplify]: Simplify (- 1) into -1 0.478 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.479 * [backup-simplify]: Simplify (- 0) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.483 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.483 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.483 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.484 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.486 * [backup-simplify]: Simplify (- 0) into 0 0.486 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.486 * [backup-simplify]: Simplify (sqrt 0) into 0 0.487 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.488 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.488 * [taylor]: Taking taylor expansion of 0 in im 0.488 * [backup-simplify]: Simplify 0 into 0 0.489 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.489 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.489 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.489 * [taylor]: Taking taylor expansion of +nan.0 in im 0.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.489 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.489 * [taylor]: Taking taylor expansion of 2.0 in im 0.489 * [backup-simplify]: Simplify 2.0 into 2.0 0.490 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.490 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.490 * [taylor]: Taking taylor expansion of im in im 0.490 * [backup-simplify]: Simplify 0 into 0 0.491 * [backup-simplify]: Simplify 1 into 1 0.491 * [backup-simplify]: Simplify (* 1 1) into 1 0.492 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.495 * [backup-simplify]: Simplify (- 0) into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 0 into 0 0.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.498 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.499 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.499 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.499 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.502 * [backup-simplify]: Simplify (+ 0 0) into 0 0.503 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.504 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.505 * [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)))) 0.505 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.505 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.505 * [taylor]: Taking taylor expansion of +nan.0 in im 0.505 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.505 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.505 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.505 * [taylor]: Taking taylor expansion of 2.0 in im 0.505 * [backup-simplify]: Simplify 2.0 into 2.0 0.506 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.506 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.506 * [taylor]: Taking taylor expansion of im in im 0.506 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify 1 into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.507 * [backup-simplify]: Simplify (* 1 1) into 1 0.508 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 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 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 1))) into 0 0.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 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)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* +nan.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 into 0 0.523 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.527 * [backup-simplify]: Simplify (- 0) into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.530 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.530 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.531 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.531 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.534 * [backup-simplify]: Simplify (- 0) into 0 0.534 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.535 * [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))))) 0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.538 * [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)))))) 0.538 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.538 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.538 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.538 * [taylor]: Taking taylor expansion of +nan.0 in im 0.538 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.538 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.538 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.538 * [taylor]: Taking taylor expansion of 2.0 in im 0.538 * [backup-simplify]: Simplify 2.0 into 2.0 0.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.539 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.539 * [taylor]: Taking taylor expansion of im in im 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 1 into 1 0.539 * [backup-simplify]: Simplify (* 1 1) into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.541 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.541 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.541 * [taylor]: Taking taylor expansion of +nan.0 in im 0.541 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.541 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.541 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.541 * [taylor]: Taking taylor expansion of 2.0 in im 0.541 * [backup-simplify]: Simplify 2.0 into 2.0 0.541 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.542 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.542 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.544 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.546 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.558 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * * * [progress]: simplifying candidates 0.587 * * * * [progress]: [ 1 / 40 ] simplifiying candidate # 0.588 * * * * [progress]: [ 2 / 40 ] simplifiying candidate # 0.588 * * * * [progress]: [ 3 / 40 ] simplifiying candidate # 0.588 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 0.588 * * [simplify]: iters left: 4 (5 enodes) 0.590 * * [simplify]: iters left: 3 (15 enodes) 0.594 * * [simplify]: Extracting #0: cost 1 inf + 0 0.594 * * [simplify]: Extracting #1: cost 3 inf + 0 0.594 * * [simplify]: Extracting #2: cost 5 inf + 0 0.594 * * [simplify]: Extracting #3: cost 8 inf + 0 0.594 * * [simplify]: Extracting #4: cost 6 inf + 2 0.594 * * [simplify]: Extracting #5: cost 0 inf + 744 0.595 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 0.595 * [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)))) 0.595 * * * * [progress]: [ 4 / 40 ] simplifiying candidate # 0.595 * [simplify]: Simplifying (sqrt (hypot re im)) 0.595 * * [simplify]: iters left: 2 (4 enodes) 0.597 * * [simplify]: iters left: 1 (12 enodes) 0.600 * * [simplify]: Extracting #0: cost 1 inf + 0 0.600 * * [simplify]: Extracting #1: cost 3 inf + 0 0.600 * * [simplify]: Extracting #2: cost 6 inf + 0 0.600 * * [simplify]: Extracting #3: cost 4 inf + 2 0.600 * * [simplify]: Extracting #4: cost 0 inf + 310 0.600 * [simplify]: Simplified to (sqrt (hypot re im)) 0.600 * [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)))) 0.600 * * * * [progress]: [ 5 / 40 ] simplifiying candidate # 0.600 * * * * [progress]: [ 6 / 40 ] simplifiying candidate # 0.601 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 0.601 * * [simplify]: iters left: 4 (6 enodes) 0.603 * * [simplify]: iters left: 3 (21 enodes) 0.609 * * [simplify]: iters left: 2 (25 enodes) 0.618 * * [simplify]: Extracting #0: cost 1 inf + 0 0.618 * * [simplify]: Extracting #1: cost 5 inf + 0 0.618 * * [simplify]: Extracting #2: cost 10 inf + 0 0.618 * * [simplify]: Extracting #3: cost 9 inf + 143 0.618 * * [simplify]: Extracting #4: cost 8 inf + 144 0.619 * * [simplify]: Extracting #5: cost 0 inf + 1180 0.619 * * [simplify]: Extracting #6: cost 0 inf + 1040 0.619 * [simplify]: Simplified to (exp (+ re (hypot re im))) 0.619 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (sqrt (* (log (exp (+ re (hypot re im)))) 2.0)))) 0.620 * * * * [progress]: [ 7 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 8 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 9 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 10 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 11 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 12 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 13 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 14 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 15 / 40 ] simplifiying candidate # 0.620 * * * * [progress]: [ 16 / 40 ] simplifiying candidate # 0.621 * [simplify]: Simplifying (+ (hypot re im) re) 0.621 * * [simplify]: iters left: 3 (4 enodes) 0.622 * * [simplify]: iters left: 2 (13 enodes) 0.626 * * [simplify]: Extracting #0: cost 1 inf + 0 0.626 * * [simplify]: Extracting #1: cost 4 inf + 0 0.626 * * [simplify]: Extracting #2: cost 5 inf + 1 0.626 * * [simplify]: Extracting #3: cost 4 inf + 2 0.626 * * [simplify]: Extracting #4: cost 0 inf + 310 0.626 * [simplify]: Simplified to (+ re (hypot re im)) 0.626 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (sqrt (* (* 1 (+ re (hypot re im))) 2.0)))) 0.626 * * * * [progress]: [ 17 / 40 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))) 2.0))))> 0.626 * * * * [progress]: [ 18 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 19 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 20 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 21 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 22 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 23 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 24 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 25 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 26 / 40 ] simplifiying candidate # 0.627 * * * * [progress]: [ 27 / 40 ] simplifiying candidate # 0.627 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 0.627 * * [simplify]: iters left: 4 (5 enodes) 0.629 * * [simplify]: iters left: 3 (16 enodes) 0.633 * * [simplify]: Extracting #0: cost 1 inf + 0 0.633 * * [simplify]: Extracting #1: cost 3 inf + 0 0.633 * * [simplify]: Extracting #2: cost 6 inf + 0 0.634 * * [simplify]: Extracting #3: cost 7 inf + 1 0.634 * * [simplify]: Extracting #4: cost 0 inf + 584 0.634 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 0.634 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 0.634 * * * * [progress]: [ 28 / 40 ] simplifiying candidate # 0.634 * [simplify]: Simplifying (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0)) 0.634 * * [simplify]: iters left: 6 (10 enodes) 0.640 * * [simplify]: iters left: 5 (45 enodes) 0.659 * * [simplify]: iters left: 4 (86 enodes) 0.694 * * [simplify]: iters left: 3 (171 enodes) 0.756 * * [simplify]: iters left: 2 (295 enodes) 0.825 * * [simplify]: Extracting #0: cost 1 inf + 0 0.825 * * [simplify]: Extracting #1: cost 3 inf + 0 0.825 * * [simplify]: Extracting #2: cost 10 inf + 0 0.825 * * [simplify]: Extracting #3: cost 60 inf + 1 0.826 * * [simplify]: Extracting #4: cost 116 inf + 3 0.826 * * [simplify]: Extracting #5: cost 96 inf + 4660 0.828 * * [simplify]: Extracting #6: cost 44 inf + 22930 0.832 * * [simplify]: Extracting #7: cost 7 inf + 41571 0.840 * * [simplify]: Extracting #8: cost 0 inf + 44510 0.847 * [simplify]: Simplified to (sqrt (* 2.0 (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) 0.847 * [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))))))) 0.848 * * * * [progress]: [ 29 / 40 ] simplifiying candidate # 0.848 * [simplify]: Simplifying (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 0.848 * * [simplify]: iters left: 6 (9 enodes) 0.853 * * [simplify]: iters left: 5 (34 enodes) 0.860 * * [simplify]: iters left: 4 (57 enodes) 0.870 * * [simplify]: iters left: 3 (123 enodes) 0.911 * * [simplify]: iters left: 2 (313 enodes) 1.067 * * [simplify]: Extracting #0: cost 1 inf + 0 1.067 * * [simplify]: Extracting #1: cost 3 inf + 0 1.068 * * [simplify]: Extracting #2: cost 65 inf + 0 1.068 * * [simplify]: Extracting #3: cost 134 inf + 207 1.069 * * [simplify]: Extracting #4: cost 104 inf + 5633 1.074 * * [simplify]: Extracting #5: cost 18 inf + 21924 1.081 * * [simplify]: Extracting #6: cost 0 inf + 24348 1.088 * [simplify]: Simplified to (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) 1.088 * [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))))) 1.088 * * * * [progress]: [ 30 / 40 ] simplifiying candidate # 1.088 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.088 * * [simplify]: iters left: 5 (6 enodes) 1.090 * * [simplify]: iters left: 4 (20 enodes) 1.097 * * [simplify]: iters left: 3 (28 enodes) 1.107 * * [simplify]: iters left: 2 (40 enodes) 1.116 * * [simplify]: Extracting #0: cost 1 inf + 0 1.116 * * [simplify]: Extracting #1: cost 8 inf + 0 1.116 * * [simplify]: Extracting #2: cost 11 inf + 2 1.116 * * [simplify]: Extracting #3: cost 9 inf + 45 1.116 * * [simplify]: Extracting #4: cost 2 inf + 632 1.117 * * [simplify]: Extracting #5: cost 0 inf + 867 1.117 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.117 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.117 * * * * [progress]: [ 31 / 40 ] simplifiying candidate # 1.118 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.118 * * [simplify]: iters left: 5 (6 enodes) 1.121 * * [simplify]: iters left: 4 (20 enodes) 1.123 * * [simplify]: iters left: 3 (28 enodes) 1.128 * * [simplify]: iters left: 2 (40 enodes) 1.133 * * [simplify]: Extracting #0: cost 1 inf + 0 1.133 * * [simplify]: Extracting #1: cost 8 inf + 0 1.133 * * [simplify]: Extracting #2: cost 11 inf + 2 1.133 * * [simplify]: Extracting #3: cost 9 inf + 45 1.133 * * [simplify]: Extracting #4: cost 2 inf + 632 1.133 * * [simplify]: Extracting #5: cost 0 inf + 867 1.134 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.134 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.134 * * * * [progress]: [ 32 / 40 ] simplifiying candidate # 1.134 * * * * [progress]: [ 33 / 40 ] simplifiying candidate # 1.134 * * * * [progress]: [ 34 / 40 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (hypot re im) re) 2.0))))))> 1.134 * * * * [progress]: [ 35 / 40 ] simplifiying candidate # 1.134 * [simplify]: Simplifying (+ re im) 1.134 * * [simplify]: iters left: 2 (3 enodes) 1.135 * * [simplify]: iters left: 1 (10 enodes) 1.136 * * [simplify]: Extracting #0: cost 1 inf + 0 1.136 * * [simplify]: Extracting #1: cost 4 inf + 0 1.136 * * [simplify]: Extracting #2: cost 2 inf + 2 1.136 * * [simplify]: Extracting #3: cost 0 inf + 86 1.136 * [simplify]: Simplified to (+ im re) 1.136 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (+ im re) 2.0)))) 1.136 * * * * [progress]: [ 36 / 40 ] simplifiying candidate # 1.136 * [simplify]: Simplifying (* 2 re) 1.136 * * [simplify]: iters left: 2 (3 enodes) 1.137 * * [simplify]: iters left: 1 (10 enodes) 1.139 * * [simplify]: Extracting #0: cost 1 inf + 0 1.139 * * [simplify]: Extracting #1: cost 4 inf + 0 1.139 * * [simplify]: Extracting #2: cost 2 inf + 2 1.139 * * [simplify]: Extracting #3: cost 0 inf + 86 1.139 * [simplify]: Simplified to (* 2 re) 1.139 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* (* 2 re) 2.0)))) 1.139 * * * * [progress]: [ 37 / 40 ] simplifiying candidate # 1.139 * [simplify]: Simplifying 0 1.139 * * [simplify]: iters left: 0 (1 enodes) 1.140 * * [simplify]: Extracting #0: cost 1 inf + 0 1.140 * * [simplify]: Extracting #1: cost 0 inf + 1 1.140 * [simplify]: Simplified to 0 1.140 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (sqrt (* 0 2.0)))) 1.140 * * * * [progress]: [ 38 / 40 ] simplifiying candidate # 1.140 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 1.140 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 1.140 * * * * [progress]: [ 39 / 40 ] simplifiying candidate # 1.140 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.140 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 1.140 * * * * [progress]: [ 40 / 40 ] simplifiying candidate # 1.140 * [simplify]: Simplifying 0 1.141 * * [simplify]: iters left: 0 (1 enodes) 1.141 * * [simplify]: Extracting #0: cost 1 inf + 0 1.141 * * [simplify]: Extracting #1: cost 0 inf + 1 1.141 * [simplify]: Simplified to 0 1.141 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 1.141 * * * [progress]: adding candidates to table 1.471 * * [progress]: iteration 2 / 4 1.471 * * * [progress]: picking best candidate 1.490 * * * * [pick]: Picked # 1.490 * * * [progress]: localizing error 1.523 * * * [progress]: generating rewritten candidates 1.524 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 1) 1.533 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.568 * * * [progress]: generating series expansions 1.568 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 1) 1.569 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 1.569 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 1.569 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 1.569 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.569 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.569 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.569 * [taylor]: Taking taylor expansion of (* re re) in im 1.569 * [taylor]: Taking taylor expansion of re in im 1.569 * [backup-simplify]: Simplify re into re 1.569 * [taylor]: Taking taylor expansion of re in im 1.569 * [backup-simplify]: Simplify re into re 1.569 * [taylor]: Taking taylor expansion of (* im im) in im 1.569 * [taylor]: Taking taylor expansion of im in im 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [taylor]: Taking taylor expansion of im in im 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.570 * [backup-simplify]: Simplify (* 0 0) into 0 1.570 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.570 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.570 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.571 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.571 * [backup-simplify]: Simplify (+ 0 0) into 0 1.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.572 * [taylor]: Taking taylor expansion of re in im 1.572 * [backup-simplify]: Simplify re into re 1.572 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.572 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.572 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.572 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.572 * [taylor]: Taking taylor expansion of (* re re) in re 1.572 * [taylor]: Taking taylor expansion of re in re 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of re in re 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 1 into 1 1.572 * [taylor]: Taking taylor expansion of (* im im) in re 1.572 * [taylor]: Taking taylor expansion of im in re 1.572 * [backup-simplify]: Simplify im into im 1.572 * [taylor]: Taking taylor expansion of im in re 1.572 * [backup-simplify]: Simplify im into im 1.572 * [backup-simplify]: Simplify (* 0 0) into 0 1.572 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.573 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.573 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.573 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.573 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.574 * [backup-simplify]: Simplify (+ 0 0) into 0 1.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.574 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.574 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.574 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.574 * [taylor]: Taking taylor expansion of (* re re) in re 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of re in re 1.574 * [backup-simplify]: Simplify 0 into 0 1.574 * [backup-simplify]: Simplify 1 into 1 1.574 * [taylor]: Taking taylor expansion of (* im im) in re 1.574 * [taylor]: Taking taylor expansion of im in re 1.574 * [backup-simplify]: Simplify im into im 1.574 * [taylor]: Taking taylor expansion of im in re 1.574 * [backup-simplify]: Simplify im into im 1.575 * [backup-simplify]: Simplify (* 0 0) into 0 1.575 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.575 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.575 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.576 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.576 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.576 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.576 * [taylor]: Taking taylor expansion of re in re 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (+ im 0) into im 1.577 * [taylor]: Taking taylor expansion of im in im 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify 0 into 0 1.577 * [backup-simplify]: Simplify (+ 0 1) into 1 1.577 * [taylor]: Taking taylor expansion of 1 in im 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify 1 into 1 1.577 * [backup-simplify]: Simplify 1 into 1 1.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.578 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.579 * [backup-simplify]: Simplify (+ 1 0) into 1 1.580 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.580 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.580 * [taylor]: Taking taylor expansion of 1/2 in im 1.580 * [backup-simplify]: Simplify 1/2 into 1/2 1.580 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.580 * [taylor]: Taking taylor expansion of im in im 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 1 into 1 1.580 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.582 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.584 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.585 * [backup-simplify]: Simplify (+ 0 0) into 0 1.585 * [taylor]: Taking taylor expansion of 0 in im 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.587 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.588 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1.588 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.588 * [taylor]: Taking taylor expansion of re in im 1.588 * [backup-simplify]: Simplify re into re 1.588 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.588 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.588 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.588 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.588 * [taylor]: Taking taylor expansion of re in im 1.588 * [backup-simplify]: Simplify re into re 1.588 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.588 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.588 * [taylor]: Taking taylor expansion of re in im 1.588 * [backup-simplify]: Simplify re into re 1.588 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.588 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.588 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.588 * [taylor]: Taking taylor expansion of im in im 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.589 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.589 * [taylor]: Taking taylor expansion of im in im 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.590 * [backup-simplify]: Simplify (* 1 1) into 1 1.590 * [backup-simplify]: Simplify (+ 0 1) into 1 1.590 * [backup-simplify]: Simplify (sqrt 1) into 1 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.593 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.594 * [taylor]: Taking taylor expansion of re in re 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.594 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.594 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.594 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.594 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.594 * [taylor]: Taking taylor expansion of re in re 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.595 * [taylor]: Taking taylor expansion of re in re 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 1 into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.595 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.595 * [taylor]: Taking taylor expansion of im in re 1.595 * [backup-simplify]: Simplify im into im 1.596 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.596 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.596 * [taylor]: Taking taylor expansion of im in re 1.596 * [backup-simplify]: Simplify im into im 1.596 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.596 * [backup-simplify]: Simplify (* 1 1) into 1 1.597 * [backup-simplify]: Simplify (+ 1 0) into 1 1.597 * [backup-simplify]: Simplify (sqrt 1) into 1 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.600 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.600 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.600 * [taylor]: Taking taylor expansion of re in re 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.601 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.601 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.601 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.601 * [taylor]: Taking taylor expansion of re in re 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.601 * [backup-simplify]: Simplify (/ 1 1) into 1 1.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.601 * [taylor]: Taking taylor expansion of re in re 1.601 * [backup-simplify]: Simplify 0 into 0 1.601 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (/ 1 1) into 1 1.602 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.602 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.602 * [taylor]: Taking taylor expansion of im in re 1.602 * [backup-simplify]: Simplify im into im 1.602 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.602 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.602 * [taylor]: Taking taylor expansion of im in re 1.602 * [backup-simplify]: Simplify im into im 1.602 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.603 * [backup-simplify]: Simplify (* 1 1) into 1 1.603 * [backup-simplify]: Simplify (+ 1 0) into 1 1.603 * [backup-simplify]: Simplify (sqrt 1) into 1 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.607 * [backup-simplify]: Simplify (+ 1 1) into 2 1.607 * [taylor]: Taking taylor expansion of 2 in im 1.607 * [backup-simplify]: Simplify 2 into 2 1.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [taylor]: Taking taylor expansion of 0 in im 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 2 into 2 1.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.612 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.612 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.613 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.613 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.613 * [taylor]: Taking taylor expansion of 1/2 in im 1.613 * [backup-simplify]: Simplify 1/2 into 1/2 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.614 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.614 * [taylor]: Taking taylor expansion of im in im 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (* 1 1) into 1 1.614 * [backup-simplify]: Simplify (/ 1 1) into 1 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.621 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.623 * [backup-simplify]: Simplify (+ 0 0) into 0 1.623 * [taylor]: Taking taylor expansion of 0 in im 1.623 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.626 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.626 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.626 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.626 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.626 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.626 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.626 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.626 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.626 * [taylor]: Taking taylor expansion of -1 in im 1.626 * [backup-simplify]: Simplify -1 into -1 1.626 * [taylor]: Taking taylor expansion of re in im 1.626 * [backup-simplify]: Simplify re into re 1.626 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.626 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.626 * [taylor]: Taking taylor expansion of -1 in im 1.626 * [backup-simplify]: Simplify -1 into -1 1.626 * [taylor]: Taking taylor expansion of re in im 1.626 * [backup-simplify]: Simplify re into re 1.626 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.627 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.627 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.627 * [taylor]: Taking taylor expansion of -1 in im 1.627 * [backup-simplify]: Simplify -1 into -1 1.627 * [taylor]: Taking taylor expansion of im in im 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.627 * [backup-simplify]: Simplify (/ -1 1) into -1 1.627 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.627 * [taylor]: Taking taylor expansion of -1 in im 1.627 * [backup-simplify]: Simplify -1 into -1 1.627 * [taylor]: Taking taylor expansion of im in im 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (/ -1 1) into -1 1.628 * [backup-simplify]: Simplify (* -1 -1) into 1 1.628 * [backup-simplify]: Simplify (+ 0 1) into 1 1.629 * [backup-simplify]: Simplify (sqrt 1) into 1 1.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.632 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.632 * [taylor]: Taking taylor expansion of re in im 1.632 * [backup-simplify]: Simplify re into re 1.632 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.632 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.632 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.632 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.632 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.632 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.632 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.632 * [taylor]: Taking taylor expansion of -1 in re 1.632 * [backup-simplify]: Simplify -1 into -1 1.632 * [taylor]: Taking taylor expansion of re in re 1.632 * [backup-simplify]: Simplify 0 into 0 1.632 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ -1 1) into -1 1.633 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.633 * [taylor]: Taking taylor expansion of -1 in re 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of re in re 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (/ -1 1) into -1 1.633 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.633 * [taylor]: Taking taylor expansion of -1 in re 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of im in re 1.633 * [backup-simplify]: Simplify im into im 1.633 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.633 * [taylor]: Taking taylor expansion of -1 in re 1.633 * [backup-simplify]: Simplify -1 into -1 1.633 * [taylor]: Taking taylor expansion of im in re 1.633 * [backup-simplify]: Simplify im into im 1.633 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.634 * [backup-simplify]: Simplify (* -1 -1) into 1 1.634 * [backup-simplify]: Simplify (+ 1 0) into 1 1.634 * [backup-simplify]: Simplify (sqrt 1) into 1 1.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.636 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.636 * [taylor]: Taking taylor expansion of re in re 1.636 * [backup-simplify]: Simplify 0 into 0 1.636 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (/ 1 1) into 1 1.636 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.636 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.637 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.637 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.637 * [taylor]: Taking taylor expansion of -1 in re 1.637 * [backup-simplify]: Simplify -1 into -1 1.637 * [taylor]: Taking taylor expansion of re in re 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (/ -1 1) into -1 1.637 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.637 * [taylor]: Taking taylor expansion of -1 in re 1.637 * [backup-simplify]: Simplify -1 into -1 1.637 * [taylor]: Taking taylor expansion of re in re 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.640 * [backup-simplify]: Simplify (/ -1 1) into -1 1.640 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [backup-simplify]: Simplify -1 into -1 1.640 * [taylor]: Taking taylor expansion of im in re 1.640 * [backup-simplify]: Simplify im into im 1.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.640 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.640 * [taylor]: Taking taylor expansion of -1 in re 1.640 * [backup-simplify]: Simplify -1 into -1 1.640 * [taylor]: Taking taylor expansion of im in re 1.640 * [backup-simplify]: Simplify im into im 1.640 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.641 * [backup-simplify]: Simplify (* -1 -1) into 1 1.641 * [backup-simplify]: Simplify (+ 1 0) into 1 1.641 * [backup-simplify]: Simplify (sqrt 1) into 1 1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.643 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.643 * [backup-simplify]: Simplify (+ 0 0) into 0 1.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.643 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.643 * [taylor]: Taking taylor expansion of re in re 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (/ 1 1) into 1 1.644 * [backup-simplify]: Simplify (- 1) into -1 1.644 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.644 * [taylor]: Taking taylor expansion of 0 in im 1.644 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.645 * [backup-simplify]: Simplify (- 0) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [taylor]: Taking taylor expansion of 0 in im 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.647 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.647 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.647 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.648 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.649 * [backup-simplify]: Simplify (- 0) into 0 1.649 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.649 * [taylor]: Taking taylor expansion of 1/2 in im 1.649 * [backup-simplify]: Simplify 1/2 into 1/2 1.649 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.649 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.649 * [taylor]: Taking taylor expansion of im in im 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [backup-simplify]: Simplify (* 1 1) into 1 1.649 * [backup-simplify]: Simplify (/ 1 1) into 1 1.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.653 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.653 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.654 * [backup-simplify]: Simplify (- 0) into 0 1.655 * [backup-simplify]: Simplify (+ 0 0) into 0 1.655 * [taylor]: Taking taylor expansion of 0 in im 1.655 * [backup-simplify]: Simplify 0 into 0 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.657 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1.657 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0 1.657 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im 1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 1.657 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 1.657 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.657 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.657 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.657 * [taylor]: Taking taylor expansion of (* re re) in im 1.657 * [taylor]: Taking taylor expansion of re in im 1.657 * [backup-simplify]: Simplify re into re 1.657 * [taylor]: Taking taylor expansion of re in im 1.657 * [backup-simplify]: Simplify re into re 1.657 * [taylor]: Taking taylor expansion of (* im im) in im 1.657 * [taylor]: Taking taylor expansion of im in im 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.657 * [taylor]: Taking taylor expansion of im in im 1.657 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify 1 into 1 1.658 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.658 * [backup-simplify]: Simplify (* 0 0) into 0 1.658 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.658 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.658 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.658 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.659 * [taylor]: Taking taylor expansion of re in im 1.659 * [backup-simplify]: Simplify re into re 1.659 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.659 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 1.659 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 1.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.659 * [taylor]: Taking taylor expansion of 2.0 in im 1.659 * [backup-simplify]: Simplify 2.0 into 2.0 1.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.660 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 1.660 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 1.660 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.660 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.660 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.660 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.660 * [taylor]: Taking taylor expansion of (* re re) in re 1.660 * [taylor]: Taking taylor expansion of re in re 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of re in re 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.660 * [taylor]: Taking taylor expansion of (* im im) in re 1.660 * [taylor]: Taking taylor expansion of im in re 1.660 * [backup-simplify]: Simplify im into im 1.660 * [taylor]: Taking taylor expansion of im in re 1.660 * [backup-simplify]: Simplify im into im 1.660 * [backup-simplify]: Simplify (* 0 0) into 0 1.660 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.661 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.661 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.661 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.661 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.661 * [backup-simplify]: Simplify (+ 0 0) into 0 1.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.661 * [taylor]: Taking taylor expansion of re in re 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (+ im 0) into im 1.662 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.662 * [backup-simplify]: Simplify (+ 0 1) into 1 1.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 1.662 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.662 * [taylor]: Taking taylor expansion of 2.0 in re 1.662 * [backup-simplify]: Simplify 2.0 into 2.0 1.662 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.663 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 1.663 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 1.663 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 1.663 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.663 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.663 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.663 * [taylor]: Taking taylor expansion of (* re re) in re 1.663 * [taylor]: Taking taylor expansion of re in re 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [taylor]: Taking taylor expansion of re in re 1.663 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify 1 into 1 1.663 * [taylor]: Taking taylor expansion of (* im im) in re 1.663 * [taylor]: Taking taylor expansion of im in re 1.663 * [backup-simplify]: Simplify im into im 1.663 * [taylor]: Taking taylor expansion of im in re 1.663 * [backup-simplify]: Simplify im into im 1.663 * [backup-simplify]: Simplify (* 0 0) into 0 1.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.663 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.663 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.664 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.664 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.664 * [taylor]: Taking taylor expansion of re in re 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (+ im 0) into im 1.664 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.664 * [backup-simplify]: Simplify (+ 0 1) into 1 1.665 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 1.665 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.665 * [taylor]: Taking taylor expansion of 2.0 in re 1.665 * [backup-simplify]: Simplify 2.0 into 2.0 1.665 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.666 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 1.666 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 1.666 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.666 * [taylor]: Taking taylor expansion of 2.0 in im 1.666 * [backup-simplify]: Simplify 2.0 into 2.0 1.666 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.666 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.666 * [taylor]: Taking taylor expansion of im in im 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.667 * [backup-simplify]: Simplify (sqrt 0) into 0 1.668 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.668 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.668 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 1.669 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 1.669 * [taylor]: Taking taylor expansion of 1/2 in im 1.669 * [backup-simplify]: Simplify 1/2 into 1/2 1.669 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 1.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.669 * [taylor]: Taking taylor expansion of 2.0 in im 1.669 * [backup-simplify]: Simplify 2.0 into 2.0 1.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.671 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 1.671 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.671 * [taylor]: Taking taylor expansion of im in im 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.671 * [backup-simplify]: Simplify (/ 1 1) into 1 1.671 * [backup-simplify]: Simplify (sqrt 0) into 0 1.673 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.675 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.676 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.680 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.681 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.683 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.685 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.686 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.687 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.688 * [backup-simplify]: Simplify (+ 1 0) into 1 1.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.689 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.689 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 1.690 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 1.690 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 1.690 * [taylor]: Taking taylor expansion of 1/8 in im 1.690 * [backup-simplify]: Simplify 1/8 into 1/8 1.690 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 1.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.690 * [taylor]: Taking taylor expansion of 2.0 in im 1.690 * [backup-simplify]: Simplify 2.0 into 2.0 1.691 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.692 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.692 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.692 * [taylor]: Taking taylor expansion of im in im 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.692 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [backup-simplify]: Simplify (sqrt 0) into 0 1.695 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.702 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.703 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.704 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.707 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.710 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 1.711 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 1.711 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 1.711 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 1.711 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.711 * [taylor]: Taking taylor expansion of 2.0 in im 1.711 * [backup-simplify]: Simplify 2.0 into 2.0 1.711 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 1.712 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 1.712 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.712 * [taylor]: Taking taylor expansion of re in im 1.712 * [backup-simplify]: Simplify re into re 1.712 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.712 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.712 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.712 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.712 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.712 * [taylor]: Taking taylor expansion of re in im 1.712 * [backup-simplify]: Simplify re into re 1.712 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.712 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.712 * [taylor]: Taking taylor expansion of re in im 1.712 * [backup-simplify]: Simplify re into re 1.712 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.712 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.712 * [taylor]: Taking taylor expansion of im in im 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify 1 into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.712 * [taylor]: Taking taylor expansion of im in im 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [backup-simplify]: Simplify (* 1 1) into 1 1.713 * [backup-simplify]: Simplify (+ 0 1) into 1 1.714 * [backup-simplify]: Simplify (sqrt 1) into 1 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.715 * [backup-simplify]: Simplify (+ 0 0) into 0 1.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.716 * [backup-simplify]: Simplify (+ 0 1) into 1 1.716 * [backup-simplify]: Simplify (sqrt 0) into 0 1.717 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.717 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.717 * [taylor]: Taking taylor expansion of 2.0 in re 1.717 * [backup-simplify]: Simplify 2.0 into 2.0 1.717 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.718 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.718 * [taylor]: Taking taylor expansion of re in re 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (/ 1 1) into 1 1.718 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.718 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.718 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.718 * [taylor]: Taking taylor expansion of re in re 1.718 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.719 * [taylor]: Taking taylor expansion of re in re 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.719 * [backup-simplify]: Simplify (/ 1 1) into 1 1.719 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.719 * [taylor]: Taking taylor expansion of im in re 1.719 * [backup-simplify]: Simplify im into im 1.719 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.719 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.719 * [taylor]: Taking taylor expansion of im in re 1.719 * [backup-simplify]: Simplify im into im 1.719 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.719 * [backup-simplify]: Simplify (* 1 1) into 1 1.720 * [backup-simplify]: Simplify (+ 1 0) into 1 1.720 * [backup-simplify]: Simplify (sqrt 1) into 1 1.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.721 * [backup-simplify]: Simplify (+ 0 0) into 0 1.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.722 * [backup-simplify]: Simplify (+ 1 1) into 2 1.722 * [backup-simplify]: Simplify (sqrt 0) into 0 1.723 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.723 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 1.723 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.723 * [taylor]: Taking taylor expansion of 2.0 in re 1.723 * [backup-simplify]: Simplify 2.0 into 2.0 1.723 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 1.724 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 1.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (/ 1 1) into 1 1.724 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.724 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.724 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.724 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.724 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.724 * [taylor]: Taking taylor expansion of re in re 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.725 * [taylor]: Taking taylor expansion of re in re 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (/ 1 1) into 1 1.725 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.725 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.725 * [taylor]: Taking taylor expansion of im in re 1.725 * [backup-simplify]: Simplify im into im 1.725 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.725 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.725 * [taylor]: Taking taylor expansion of im in re 1.725 * [backup-simplify]: Simplify im into im 1.725 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.725 * [backup-simplify]: Simplify (* 1 1) into 1 1.726 * [backup-simplify]: Simplify (+ 1 0) into 1 1.726 * [backup-simplify]: Simplify (sqrt 1) into 1 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.728 * [backup-simplify]: Simplify (+ 0 0) into 0 1.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.729 * [backup-simplify]: Simplify (+ 1 1) into 2 1.729 * [backup-simplify]: Simplify (sqrt 0) into 0 1.730 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 1.730 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in im 1.730 * [backup-simplify]: Simplify 0 into 0 1.732 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.732 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.732 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.732 * [taylor]: Taking taylor expansion of +nan.0 in im 1.732 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.732 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.732 * [taylor]: Taking taylor expansion of 2.0 in im 1.732 * [backup-simplify]: Simplify 2.0 into 2.0 1.732 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.733 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.734 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.739 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.741 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 1.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 1.741 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.741 * [taylor]: Taking taylor expansion of +nan.0 in im 1.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.741 * [taylor]: Taking taylor expansion of 2.0 in im 1.741 * [backup-simplify]: Simplify 2.0 into 2.0 1.742 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.743 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.745 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.746 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.747 * [backup-simplify]: Simplify 0 into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.753 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.753 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.754 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.755 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.757 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.760 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 1.760 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.760 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.760 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.760 * [taylor]: Taking taylor expansion of +nan.0 in im 1.760 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.760 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.760 * [taylor]: Taking taylor expansion of 2.0 in im 1.760 * [backup-simplify]: Simplify 2.0 into 2.0 1.760 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.761 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.761 * [taylor]: Taking taylor expansion of +nan.0 in im 1.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.761 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.761 * [taylor]: Taking taylor expansion of 2.0 in im 1.761 * [backup-simplify]: Simplify 2.0 into 2.0 1.762 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.763 * [taylor]: Taking taylor expansion of im in im 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.767 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.768 * [backup-simplify]: Simplify (- 0) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.770 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.772 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.773 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.773 * [backup-simplify]: Simplify 0 into 0 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.777 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.778 * [backup-simplify]: Simplify (+ 0 0) into 0 1.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.779 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.782 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.784 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 1.784 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 1.784 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 1.784 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 1.784 * [taylor]: Taking taylor expansion of +nan.0 in im 1.784 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.784 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.784 * [taylor]: Taking taylor expansion of 2.0 in im 1.784 * [backup-simplify]: Simplify 2.0 into 2.0 1.784 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.785 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.785 * [taylor]: Taking taylor expansion of +nan.0 in im 1.785 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.785 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.785 * [taylor]: Taking taylor expansion of 2.0 in im 1.785 * [backup-simplify]: Simplify 2.0 into 2.0 1.786 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.786 * [taylor]: Taking taylor expansion of im in im 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (* 1 1) into 1 1.788 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.791 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.791 * [backup-simplify]: Simplify (- 0) into 0 1.791 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.794 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.797 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.798 * [backup-simplify]: Simplify (- 0) into 0 1.799 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.802 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.803 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.808 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 1.809 * [backup-simplify]: Simplify (* (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re)))) (sqrt 2.0)) into (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) 1.809 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 1.809 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im 1.809 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 1.809 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.809 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.809 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.809 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.809 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.809 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.809 * [taylor]: Taking taylor expansion of -1 in im 1.809 * [backup-simplify]: Simplify -1 into -1 1.809 * [taylor]: Taking taylor expansion of re in im 1.809 * [backup-simplify]: Simplify re into re 1.809 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.809 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.809 * [taylor]: Taking taylor expansion of -1 in im 1.809 * [backup-simplify]: Simplify -1 into -1 1.809 * [taylor]: Taking taylor expansion of re in im 1.809 * [backup-simplify]: Simplify re into re 1.809 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.809 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.809 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.810 * [taylor]: Taking taylor expansion of -1 in im 1.810 * [backup-simplify]: Simplify -1 into -1 1.810 * [taylor]: Taking taylor expansion of im in im 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (/ -1 1) into -1 1.810 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.810 * [taylor]: Taking taylor expansion of -1 in im 1.810 * [backup-simplify]: Simplify -1 into -1 1.810 * [taylor]: Taking taylor expansion of im in im 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.811 * [backup-simplify]: Simplify (/ -1 1) into -1 1.811 * [backup-simplify]: Simplify (* -1 -1) into 1 1.811 * [backup-simplify]: Simplify (+ 0 1) into 1 1.812 * [backup-simplify]: Simplify (sqrt 1) into 1 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.816 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.816 * [taylor]: Taking taylor expansion of re in im 1.816 * [backup-simplify]: Simplify re into re 1.816 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.816 * [backup-simplify]: Simplify (+ 1 0) into 1 1.817 * [backup-simplify]: Simplify (sqrt 0) into 0 1.818 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.818 * [taylor]: Taking taylor expansion of 2.0 in im 1.818 * [backup-simplify]: Simplify 2.0 into 2.0 1.819 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.819 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.820 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.820 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.820 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.820 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.820 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.820 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.820 * [taylor]: Taking taylor expansion of -1 in re 1.820 * [backup-simplify]: Simplify -1 into -1 1.820 * [taylor]: Taking taylor expansion of re in re 1.820 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify 1 into 1 1.820 * [backup-simplify]: Simplify (/ -1 1) into -1 1.820 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.820 * [taylor]: Taking taylor expansion of -1 in re 1.820 * [backup-simplify]: Simplify -1 into -1 1.821 * [taylor]: Taking taylor expansion of re in re 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.821 * [backup-simplify]: Simplify (/ -1 1) into -1 1.821 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.821 * [taylor]: Taking taylor expansion of -1 in re 1.821 * [backup-simplify]: Simplify -1 into -1 1.821 * [taylor]: Taking taylor expansion of im in re 1.821 * [backup-simplify]: Simplify im into im 1.821 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.821 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.821 * [taylor]: Taking taylor expansion of -1 in re 1.821 * [backup-simplify]: Simplify -1 into -1 1.821 * [taylor]: Taking taylor expansion of im in re 1.821 * [backup-simplify]: Simplify im into im 1.821 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.822 * [backup-simplify]: Simplify (* -1 -1) into 1 1.822 * [backup-simplify]: Simplify (+ 1 0) into 1 1.823 * [backup-simplify]: Simplify (sqrt 1) into 1 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.825 * [backup-simplify]: Simplify (+ 0 0) into 0 1.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.826 * [taylor]: Taking taylor expansion of re in re 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [backup-simplify]: Simplify (- 1) into -1 1.827 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (- 0) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.832 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.832 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (- 0) into 0 1.833 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.834 * [backup-simplify]: Simplify (sqrt 0) into 0 1.834 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.834 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.834 * [taylor]: Taking taylor expansion of 2.0 in re 1.834 * [backup-simplify]: Simplify 2.0 into 2.0 1.834 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.835 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 1.835 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 1.835 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.835 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.835 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.835 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.835 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.835 * [taylor]: Taking taylor expansion of -1 in re 1.835 * [backup-simplify]: Simplify -1 into -1 1.835 * [taylor]: Taking taylor expansion of re in re 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.835 * [backup-simplify]: Simplify (/ -1 1) into -1 1.835 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.835 * [taylor]: Taking taylor expansion of -1 in re 1.835 * [backup-simplify]: Simplify -1 into -1 1.835 * [taylor]: Taking taylor expansion of re in re 1.835 * [backup-simplify]: Simplify 0 into 0 1.835 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ -1 1) into -1 1.836 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.836 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.836 * [taylor]: Taking taylor expansion of -1 in re 1.836 * [backup-simplify]: Simplify -1 into -1 1.836 * [taylor]: Taking taylor expansion of im in re 1.836 * [backup-simplify]: Simplify im into im 1.836 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.836 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.836 * [taylor]: Taking taylor expansion of -1 in re 1.836 * [backup-simplify]: Simplify -1 into -1 1.836 * [taylor]: Taking taylor expansion of im in re 1.836 * [backup-simplify]: Simplify im into im 1.836 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.836 * [backup-simplify]: Simplify (* -1 -1) into 1 1.837 * [backup-simplify]: Simplify (+ 1 0) into 1 1.837 * [backup-simplify]: Simplify (sqrt 1) into 1 1.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.839 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.839 * [taylor]: Taking taylor expansion of re in re 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (- 1) into -1 1.840 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- 0) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.843 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.843 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.844 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.845 * [backup-simplify]: Simplify (- 0) into 0 1.845 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.845 * [backup-simplify]: Simplify (sqrt 0) into 0 1.846 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 1.846 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.846 * [taylor]: Taking taylor expansion of 2.0 in re 1.846 * [backup-simplify]: Simplify 2.0 into 2.0 1.846 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.847 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 1.847 * [taylor]: Taking taylor expansion of 0 in im 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 1.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 1.848 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 1.848 * [taylor]: Taking taylor expansion of +nan.0 in im 1.848 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.848 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 1.848 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.848 * [taylor]: Taking taylor expansion of 2.0 in im 1.848 * [backup-simplify]: Simplify 2.0 into 2.0 1.848 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.848 * [taylor]: Taking taylor expansion of im in im 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.849 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.851 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.851 * [backup-simplify]: Simplify (- 0) into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.854 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.854 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.856 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 1.857 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 1.857 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 1.857 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.857 * [taylor]: Taking taylor expansion of +nan.0 in im 1.857 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.857 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.857 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.857 * [taylor]: Taking taylor expansion of 2.0 in im 1.857 * [backup-simplify]: Simplify 2.0 into 2.0 1.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.858 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.858 * [taylor]: Taking taylor expansion of im in im 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify (* 1 1) into 1 1.858 * [backup-simplify]: Simplify (* 1 1) into 1 1.859 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.860 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.866 * [backup-simplify]: Simplify (- 0) into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.869 * [backup-simplify]: Simplify (- 0) into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.874 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.875 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 1.877 * [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))))) 1.878 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 1.878 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 1.878 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 1.878 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 1.878 * [taylor]: Taking taylor expansion of +nan.0 in im 1.878 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.878 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 1.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.878 * [taylor]: Taking taylor expansion of 2.0 in im 1.878 * [backup-simplify]: Simplify 2.0 into 2.0 1.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.879 * [taylor]: Taking taylor expansion of (pow im 4) in im 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.880 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 1.880 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 1.880 * [taylor]: Taking taylor expansion of +nan.0 in im 1.880 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.880 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 1.880 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.880 * [taylor]: Taking taylor expansion of 2.0 in im 1.880 * [backup-simplify]: Simplify 2.0 into 2.0 1.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.880 * [taylor]: Taking taylor expansion of (pow im 6) in im 1.881 * [taylor]: Taking taylor expansion of im in im 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.883 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 1.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.891 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.891 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (- 0) into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * * * [progress]: simplifying candidates 1.907 * * * * [progress]: [ 1 / 60 ] simplifiying candidate # 1.907 * * * * [progress]: [ 2 / 60 ] simplifiying candidate # 1.907 * * * * [progress]: [ 3 / 60 ] simplifiying candidate # 1.907 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1.907 * * [simplify]: iters left: 4 (5 enodes) 1.908 * * [simplify]: iters left: 3 (15 enodes) 1.910 * * [simplify]: Extracting #0: cost 1 inf + 0 1.910 * * [simplify]: Extracting #1: cost 3 inf + 0 1.910 * * [simplify]: Extracting #2: cost 5 inf + 0 1.910 * * [simplify]: Extracting #3: cost 8 inf + 0 1.910 * * [simplify]: Extracting #4: cost 6 inf + 2 1.911 * * [simplify]: Extracting #5: cost 0 inf + 744 1.911 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 1.911 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)) (sqrt 2.0)))) 1.911 * * * * [progress]: [ 4 / 60 ] simplifiying candidate # 1.911 * [simplify]: Simplifying (sqrt (hypot re im)) 1.911 * * [simplify]: iters left: 2 (4 enodes) 1.912 * * [simplify]: iters left: 1 (12 enodes) 1.913 * * [simplify]: Extracting #0: cost 1 inf + 0 1.913 * * [simplify]: Extracting #1: cost 3 inf + 0 1.913 * * [simplify]: Extracting #2: cost 6 inf + 0 1.913 * * [simplify]: Extracting #3: cost 4 inf + 2 1.913 * * [simplify]: Extracting #4: cost 0 inf + 310 1.914 * [simplify]: Simplified to (sqrt (hypot re im)) 1.914 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)) (sqrt 2.0)))) 1.914 * * * * [progress]: [ 5 / 60 ] simplifiying candidate # 1.914 * * * * [progress]: [ 6 / 60 ] simplifiying candidate # 1.914 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 1.914 * * [simplify]: iters left: 4 (6 enodes) 1.915 * * [simplify]: iters left: 3 (21 enodes) 1.918 * * [simplify]: iters left: 2 (25 enodes) 1.921 * * [simplify]: Extracting #0: cost 1 inf + 0 1.921 * * [simplify]: Extracting #1: cost 5 inf + 0 1.921 * * [simplify]: Extracting #2: cost 10 inf + 0 1.921 * * [simplify]: Extracting #3: cost 9 inf + 143 1.921 * * [simplify]: Extracting #4: cost 8 inf + 144 1.921 * * [simplify]: Extracting #5: cost 0 inf + 1180 1.921 * * [simplify]: Extracting #6: cost 0 inf + 1040 1.921 * [simplify]: Simplified to (exp (+ re (hypot re im))) 1.921 * [simplify]: Simplified (2 2 1 1 1) to (λ (re im) (* 0.5 (* (sqrt (log (exp (+ re (hypot re im))))) (sqrt 2.0)))) 1.921 * * * * [progress]: [ 7 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 8 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 9 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 10 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 11 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 12 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 13 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 14 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 15 / 60 ] simplifiying candidate # 1.922 * * * * [progress]: [ 16 / 60 ] simplifiying candidate # 1.922 * [simplify]: Simplifying (+ (hypot re im) re) 1.922 * * [simplify]: iters left: 3 (4 enodes) 1.923 * * [simplify]: iters left: 2 (13 enodes) 1.924 * * [simplify]: Extracting #0: cost 1 inf + 0 1.924 * * [simplify]: Extracting #1: cost 4 inf + 0 1.924 * * [simplify]: Extracting #2: cost 5 inf + 1 1.925 * * [simplify]: Extracting #3: cost 4 inf + 2 1.925 * * [simplify]: Extracting #4: cost 0 inf + 310 1.925 * [simplify]: Simplified to (+ re (hypot re im)) 1.925 * [simplify]: Simplified (2 2 1 1 2) to (λ (re im) (* 0.5 (* (sqrt (* 1 (+ re (hypot re im)))) (sqrt 2.0)))) 1.925 * * * * [progress]: [ 17 / 60 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re)))) (sqrt 2.0))))> 1.925 * * * * [progress]: [ 18 / 60 ] simplifiying candidate # 1.925 * * * * [progress]: [ 19 / 60 ] simplifiying candidate # 1.925 * * * * [progress]: [ 20 / 60 ] simplifiying candidate # 1.925 * * * * [progress]: [ 21 / 60 ] simplifiying candidate # 1.925 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.925 * * [simplify]: iters left: 5 (6 enodes) 1.927 * * [simplify]: iters left: 4 (20 enodes) 1.930 * * [simplify]: iters left: 3 (28 enodes) 1.935 * * [simplify]: iters left: 2 (40 enodes) 1.939 * * [simplify]: Extracting #0: cost 1 inf + 0 1.939 * * [simplify]: Extracting #1: cost 8 inf + 0 1.939 * * [simplify]: Extracting #2: cost 11 inf + 2 1.939 * * [simplify]: Extracting #3: cost 9 inf + 45 1.940 * * [simplify]: Extracting #4: cost 2 inf + 632 1.940 * * [simplify]: Extracting #5: cost 0 inf + 867 1.940 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.940 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) 1/2))) 1.940 * * * * [progress]: [ 22 / 60 ] simplifiying candidate # 1.940 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1.940 * * [simplify]: iters left: 6 (8 enodes) 1.943 * * [simplify]: iters left: 5 (26 enodes) 1.946 * * [simplify]: Extracting #0: cost 1 inf + 0 1.946 * * [simplify]: Extracting #1: cost 4 inf + 0 1.946 * * [simplify]: Extracting #2: cost 8 inf + 0 1.946 * * [simplify]: Extracting #3: cost 9 inf + 42 1.946 * * [simplify]: Extracting #4: cost 9 inf + 84 1.947 * * [simplify]: Extracting #5: cost 8 inf + 85 1.947 * * [simplify]: Extracting #6: cost 5 inf + 296 1.947 * * [simplify]: Extracting #7: cost 1 inf + 885 1.947 * * [simplify]: Extracting #8: cost 0 inf + 1103 1.947 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1.947 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1))) 1.947 * * * * [progress]: [ 23 / 60 ] simplifiying candidate # 1.947 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 1.947 * * [simplify]: iters left: 5 (6 enodes) 1.949 * * [simplify]: iters left: 4 (20 enodes) 1.952 * * [simplify]: iters left: 3 (28 enodes) 1.965 * * [simplify]: iters left: 2 (40 enodes) 1.974 * * [simplify]: Extracting #0: cost 1 inf + 0 1.974 * * [simplify]: Extracting #1: cost 8 inf + 0 1.974 * * [simplify]: Extracting #2: cost 11 inf + 2 1.974 * * [simplify]: Extracting #3: cost 9 inf + 45 1.974 * * [simplify]: Extracting #4: cost 2 inf + 632 1.975 * * [simplify]: Extracting #5: cost 0 inf + 867 1.975 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 1.975 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 1.976 * [simplify]: Simplifying (/ 1 2) 1.976 * * [simplify]: iters left: 2 (3 enodes) 1.979 * * [simplify]: iters left: 1 (12 enodes) 1.983 * * [simplify]: Extracting #0: cost 1 inf + 0 1.983 * * [simplify]: Extracting #1: cost 0 inf + 1 1.983 * [simplify]: Simplified to 1/2 1.983 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 1.983 * * * * [progress]: [ 24 / 60 ] simplifiying candidate # 1.984 * * * * [progress]: [ 25 / 60 ] simplifiying candidate # 1.984 * [simplify]: Simplifying (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt 2.0))) 1.984 * * [simplify]: iters left: 6 (10 enodes) 1.989 * * [simplify]: iters left: 5 (32 enodes) 1.998 * * [simplify]: Extracting #0: cost 1 inf + 0 1.998 * * [simplify]: Extracting #1: cost 4 inf + 0 1.998 * * [simplify]: Extracting #2: cost 8 inf + 0 1.998 * * [simplify]: Extracting #3: cost 12 inf + 0 1.998 * * [simplify]: Extracting #4: cost 11 inf + 194 1.999 * * [simplify]: Extracting #5: cost 11 inf + 306 1.999 * * [simplify]: Extracting #6: cost 10 inf + 307 1.999 * * [simplify]: Extracting #7: cost 7 inf + 518 1.999 * * [simplify]: Extracting #8: cost 1 inf + 1812 2.000 * * [simplify]: Extracting #9: cost 0 inf + 2019 2.000 * [simplify]: Simplified to (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0))) 2.000 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (sqrt (+ re (hypot re im)))) (log (sqrt 2.0)))))) 2.001 * * * * [progress]: [ 26 / 60 ] simplifiying candidate # 2.001 * * * * [progress]: [ 27 / 60 ] simplifiying candidate # 2.001 * * * * [progress]: [ 28 / 60 ] simplifiying candidate # 2.001 * [simplify]: Simplifying (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) 2.001 * * [simplify]: iters left: 6 (12 enodes) 2.008 * * [simplify]: iters left: 5 (40 enodes) 2.021 * * [simplify]: iters left: 4 (78 enodes) 2.050 * * [simplify]: iters left: 3 (209 enodes) 2.146 * * [simplify]: iters left: 2 (499 enodes) 2.419 * * [simplify]: Extracting #0: cost 1 inf + 0 2.419 * * [simplify]: Extracting #1: cost 41 inf + 0 2.420 * * [simplify]: Extracting #2: cost 82 inf + 167 2.420 * * [simplify]: Extracting #3: cost 72 inf + 742 2.421 * * [simplify]: Extracting #4: cost 58 inf + 2728 2.424 * * [simplify]: Extracting #5: cost 37 inf + 7171 2.428 * * [simplify]: Extracting #6: cost 3 inf + 19191 2.434 * * [simplify]: Extracting #7: cost 0 inf + 20558 2.440 * [simplify]: Simplified to (* (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt 2.0))) (+ re (hypot re im))) 2.440 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (* (sqrt (+ re (hypot re im))) (* 2.0 (sqrt 2.0))) (+ re (hypot re im)))))) 2.440 * * * * [progress]: [ 29 / 60 ] simplifiying candidate # 2.440 * * * * [progress]: [ 30 / 60 ] simplifiying candidate # 2.440 * * * * [progress]: [ 31 / 60 ] simplifiying candidate # 2.441 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 2.441 * * [simplify]: iters left: 5 (6 enodes) 2.442 * * [simplify]: iters left: 4 (20 enodes) 2.445 * * [simplify]: iters left: 3 (28 enodes) 2.452 * * [simplify]: iters left: 2 (40 enodes) 2.461 * * [simplify]: Extracting #0: cost 1 inf + 0 2.461 * * [simplify]: Extracting #1: cost 8 inf + 0 2.462 * * [simplify]: Extracting #2: cost 11 inf + 2 2.462 * * [simplify]: Extracting #3: cost 9 inf + 45 2.462 * * [simplify]: Extracting #4: cost 2 inf + 632 2.462 * * [simplify]: Extracting #5: cost 0 inf + 867 2.463 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 2.463 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))) 2.463 * * * * [progress]: [ 32 / 60 ] simplifiying candidate # 2.463 * * * * [progress]: [ 33 / 60 ] simplifiying candidate # 2.463 * * * * [progress]: [ 34 / 60 ] simplifiying candidate # 2.464 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.464 * * [simplify]: iters left: 6 (10 enodes) 2.469 * * [simplify]: iters left: 5 (32 enodes) 2.478 * * [simplify]: Extracting #0: cost 1 inf + 0 2.479 * * [simplify]: Extracting #1: cost 4 inf + 0 2.479 * * [simplify]: Extracting #2: cost 8 inf + 0 2.479 * * [simplify]: Extracting #3: cost 12 inf + 0 2.479 * * [simplify]: Extracting #4: cost 11 inf + 164 2.479 * * [simplify]: Extracting #5: cost 11 inf + 246 2.479 * * [simplify]: Extracting #6: cost 10 inf + 247 2.479 * * [simplify]: Extracting #7: cost 7 inf + 458 2.480 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.480 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.481 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.481 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 2.481 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.481 * * [simplify]: iters left: 6 (10 enodes) 2.486 * * [simplify]: iters left: 5 (32 enodes) 2.500 * * [simplify]: Extracting #0: cost 1 inf + 0 2.500 * * [simplify]: Extracting #1: cost 4 inf + 0 2.500 * * [simplify]: Extracting #2: cost 8 inf + 0 2.500 * * [simplify]: Extracting #3: cost 12 inf + 0 2.500 * * [simplify]: Extracting #4: cost 11 inf + 164 2.500 * * [simplify]: Extracting #5: cost 11 inf + 246 2.500 * * [simplify]: Extracting #6: cost 10 inf + 247 2.500 * * [simplify]: Extracting #7: cost 7 inf + 458 2.501 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.501 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.502 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.502 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 2.502 * * * * [progress]: [ 35 / 60 ] simplifiying candidate # 2.503 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.503 * * [simplify]: iters left: 6 (10 enodes) 2.508 * * [simplify]: iters left: 5 (32 enodes) 2.517 * * [simplify]: Extracting #0: cost 1 inf + 0 2.517 * * [simplify]: Extracting #1: cost 4 inf + 0 2.518 * * [simplify]: Extracting #2: cost 8 inf + 0 2.518 * * [simplify]: Extracting #3: cost 12 inf + 0 2.518 * * [simplify]: Extracting #4: cost 11 inf + 164 2.518 * * [simplify]: Extracting #5: cost 11 inf + 246 2.518 * * [simplify]: Extracting #6: cost 10 inf + 247 2.518 * * [simplify]: Extracting #7: cost 7 inf + 458 2.519 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.519 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.520 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.520 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 2.520 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.520 * * [simplify]: iters left: 6 (10 enodes) 2.525 * * [simplify]: iters left: 5 (32 enodes) 2.535 * * [simplify]: Extracting #0: cost 1 inf + 0 2.535 * * [simplify]: Extracting #1: cost 4 inf + 0 2.535 * * [simplify]: Extracting #2: cost 8 inf + 0 2.535 * * [simplify]: Extracting #3: cost 12 inf + 0 2.535 * * [simplify]: Extracting #4: cost 11 inf + 164 2.536 * * [simplify]: Extracting #5: cost 11 inf + 246 2.536 * * [simplify]: Extracting #6: cost 10 inf + 247 2.536 * * [simplify]: Extracting #7: cost 7 inf + 458 2.536 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.537 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.538 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.538 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 2.538 * * * * [progress]: [ 36 / 60 ] simplifiying candidate # 2.538 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.538 * * [simplify]: iters left: 6 (10 enodes) 2.543 * * [simplify]: iters left: 5 (32 enodes) 2.553 * * [simplify]: Extracting #0: cost 1 inf + 0 2.553 * * [simplify]: Extracting #1: cost 4 inf + 0 2.553 * * [simplify]: Extracting #2: cost 8 inf + 0 2.553 * * [simplify]: Extracting #3: cost 12 inf + 0 2.553 * * [simplify]: Extracting #4: cost 11 inf + 164 2.553 * * [simplify]: Extracting #5: cost 11 inf + 246 2.553 * * [simplify]: Extracting #6: cost 10 inf + 247 2.553 * * [simplify]: Extracting #7: cost 7 inf + 458 2.554 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.554 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.555 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.555 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 2.555 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.555 * * [simplify]: iters left: 6 (10 enodes) 2.561 * * [simplify]: iters left: 5 (32 enodes) 2.570 * * [simplify]: Extracting #0: cost 1 inf + 0 2.570 * * [simplify]: Extracting #1: cost 4 inf + 0 2.570 * * [simplify]: Extracting #2: cost 8 inf + 0 2.570 * * [simplify]: Extracting #3: cost 12 inf + 0 2.570 * * [simplify]: Extracting #4: cost 11 inf + 164 2.570 * * [simplify]: Extracting #5: cost 11 inf + 246 2.571 * * [simplify]: Extracting #6: cost 10 inf + 247 2.571 * * [simplify]: Extracting #7: cost 7 inf + 458 2.571 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.572 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.572 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.572 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 2.572 * * * * [progress]: [ 37 / 60 ] simplifiying candidate # 2.573 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.573 * * [simplify]: iters left: 6 (10 enodes) 2.578 * * [simplify]: iters left: 5 (32 enodes) 2.587 * * [simplify]: Extracting #0: cost 1 inf + 0 2.587 * * [simplify]: Extracting #1: cost 4 inf + 0 2.587 * * [simplify]: Extracting #2: cost 8 inf + 0 2.587 * * [simplify]: Extracting #3: cost 12 inf + 0 2.587 * * [simplify]: Extracting #4: cost 11 inf + 164 2.588 * * [simplify]: Extracting #5: cost 11 inf + 246 2.588 * * [simplify]: Extracting #6: cost 10 inf + 247 2.588 * * [simplify]: Extracting #7: cost 7 inf + 458 2.588 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.589 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.589 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.589 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 2.590 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2.590 * * [simplify]: iters left: 6 (10 enodes) 2.595 * * [simplify]: iters left: 5 (32 enodes) 2.604 * * [simplify]: Extracting #0: cost 1 inf + 0 2.604 * * [simplify]: Extracting #1: cost 4 inf + 0 2.604 * * [simplify]: Extracting #2: cost 8 inf + 0 2.604 * * [simplify]: Extracting #3: cost 12 inf + 0 2.604 * * [simplify]: Extracting #4: cost 11 inf + 164 2.604 * * [simplify]: Extracting #5: cost 11 inf + 246 2.605 * * [simplify]: Extracting #6: cost 10 inf + 247 2.605 * * [simplify]: Extracting #7: cost 7 inf + 458 2.605 * * [simplify]: Extracting #8: cost 1 inf + 1602 2.606 * * [simplify]: Extracting #9: cost 0 inf + 1779 2.606 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 2.606 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))) 2.607 * * * * [progress]: [ 38 / 60 ] simplifiying candidate # 2.607 * [simplify]: Simplifying (cbrt (sqrt 2.0)) 2.607 * * [simplify]: iters left: 2 (3 enodes) 2.609 * * [simplify]: iters left: 1 (9 enodes) 2.613 * * [simplify]: Extracting #0: cost 1 inf + 0 2.613 * * [simplify]: Extracting #1: cost 3 inf + 0 2.613 * * [simplify]: Extracting #2: cost 5 inf + 0 2.613 * * [simplify]: Extracting #3: cost 4 inf + 1 2.613 * * [simplify]: Extracting #4: cost 0 inf + 325 2.613 * [simplify]: Simplified to (cbrt (sqrt 2.0)) 2.613 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))))) 2.613 * * * * [progress]: [ 39 / 60 ] simplifiying candidate # 2.614 * [simplify]: Simplifying (sqrt (cbrt 2.0)) 2.614 * * [simplify]: iters left: 2 (3 enodes) 2.616 * * [simplify]: iters left: 1 (9 enodes) 2.620 * * [simplify]: Extracting #0: cost 1 inf + 0 2.620 * * [simplify]: Extracting #1: cost 3 inf + 0 2.620 * * [simplify]: Extracting #2: cost 5 inf + 0 2.620 * * [simplify]: Extracting #3: cost 4 inf + 1 2.620 * * [simplify]: Extracting #4: cost 0 inf + 405 2.620 * [simplify]: Simplified to (sqrt (cbrt 2.0)) 2.620 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (sqrt (cbrt 2.0))))) 2.620 * * * * [progress]: [ 40 / 60 ] simplifiying candidate # 2.621 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 2.621 * * [simplify]: iters left: 2 (3 enodes) 2.623 * * [simplify]: iters left: 1 (9 enodes) 2.626 * * [simplify]: Extracting #0: cost 1 inf + 0 2.626 * * [simplify]: Extracting #1: cost 3 inf + 0 2.626 * * [simplify]: Extracting #2: cost 5 inf + 0 2.626 * * [simplify]: Extracting #3: cost 4 inf + 1 2.626 * * [simplify]: Extracting #4: cost 0 inf + 245 2.626 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 2.626 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) 2.626 * * * * [progress]: [ 41 / 60 ] simplifiying candidate # 2.627 * [simplify]: Simplifying (sqrt 2.0) 2.627 * * [simplify]: iters left: 1 (2 enodes) 2.628 * * [simplify]: Extracting #0: cost 1 inf + 0 2.628 * * [simplify]: Extracting #1: cost 3 inf + 0 2.628 * * [simplify]: Extracting #2: cost 2 inf + 1 2.628 * * [simplify]: Extracting #3: cost 0 inf + 83 2.629 * [simplify]: Simplified to (sqrt 2.0) 2.629 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt 1)) (sqrt 2.0)))) 2.629 * * * * [progress]: [ 42 / 60 ] simplifiying candidate # 2.629 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 2.629 * * [simplify]: iters left: 2 (3 enodes) 2.631 * * [simplify]: iters left: 1 (9 enodes) 2.634 * * [simplify]: Extracting #0: cost 1 inf + 0 2.634 * * [simplify]: Extracting #1: cost 3 inf + 0 2.634 * * [simplify]: Extracting #2: cost 5 inf + 0 2.634 * * [simplify]: Extracting #3: cost 4 inf + 1 2.635 * * [simplify]: Extracting #4: cost 0 inf + 245 2.635 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 2.635 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) 2.635 * * * * [progress]: [ 43 / 60 ] simplifiying candidate # 2.635 * [simplify]: Simplifying (sqrt 2.0) 2.635 * * [simplify]: iters left: 1 (2 enodes) 2.637 * * [simplify]: Extracting #0: cost 1 inf + 0 2.637 * * [simplify]: Extracting #1: cost 3 inf + 0 2.637 * * [simplify]: Extracting #2: cost 2 inf + 1 2.637 * * [simplify]: Extracting #3: cost 0 inf + 83 2.637 * [simplify]: Simplified to (sqrt 2.0) 2.637 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (+ (hypot re im) re)) 1) (sqrt 2.0)))) 2.637 * * * * [progress]: [ 44 / 60 ] simplifiying candidate # 2.637 * [simplify]: Simplifying (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re)))) 2.638 * * [simplify]: iters left: 6 (7 enodes) 2.640 * * [simplify]: iters left: 5 (22 enodes) 2.646 * * [simplify]: Extracting #0: cost 1 inf + 0 2.646 * * [simplify]: Extracting #1: cost 3 inf + 0 2.646 * * [simplify]: Extracting #2: cost 5 inf + 0 2.646 * * [simplify]: Extracting #3: cost 7 inf + 0 2.646 * * [simplify]: Extracting #4: cost 10 inf + 0 2.646 * * [simplify]: Extracting #5: cost 11 inf + 1 2.647 * * [simplify]: Extracting #6: cost 10 inf + 2 2.647 * * [simplify]: Extracting #7: cost 1 inf + 1275 2.647 * * [simplify]: Extracting #8: cost 0 inf + 1532 2.648 * [simplify]: Simplified to (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) 2.648 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (* (cbrt (sqrt (+ re (hypot re im)))) (cbrt (sqrt (+ re (hypot re im))))) (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))))) 2.648 * * * * [progress]: [ 45 / 60 ] simplifiying candidate # 2.648 * [simplify]: Simplifying (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re)))) 2.648 * * [simplify]: iters left: 6 (7 enodes) 2.651 * * [simplify]: iters left: 5 (23 enodes) 2.659 * * [simplify]: Extracting #0: cost 1 inf + 0 2.659 * * [simplify]: Extracting #1: cost 4 inf + 0 2.659 * * [simplify]: Extracting #2: cost 7 inf + 0 2.659 * * [simplify]: Extracting #3: cost 10 inf + 0 2.660 * * [simplify]: Extracting #4: cost 11 inf + 1 2.660 * * [simplify]: Extracting #5: cost 8 inf + 116 2.660 * * [simplify]: Extracting #6: cost 1 inf + 1315 2.661 * * [simplify]: Extracting #7: cost 0 inf + 1532 2.661 * [simplify]: Simplified to (fabs (cbrt (+ re (hypot re im)))) 2.661 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (fabs (cbrt (+ re (hypot re im)))) (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt 2.0))))) 2.661 * * * * [progress]: [ 46 / 60 ] simplifiying candidate # 2.662 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 2.662 * * [simplify]: iters left: 5 (6 enodes) 2.664 * * [simplify]: iters left: 4 (19 enodes) 2.669 * * [simplify]: Extracting #0: cost 1 inf + 0 2.669 * * [simplify]: Extracting #1: cost 3 inf + 0 2.669 * * [simplify]: Extracting #2: cost 5 inf + 0 2.669 * * [simplify]: Extracting #3: cost 8 inf + 0 2.669 * * [simplify]: Extracting #4: cost 9 inf + 1 2.670 * * [simplify]: Extracting #5: cost 0 inf + 938 2.670 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 2.670 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))))) 2.670 * * * * [progress]: [ 47 / 60 ] simplifiying candidate # 2.670 * [simplify]: Simplifying (sqrt 1) 2.670 * * [simplify]: iters left: 1 (2 enodes) 2.674 * * [simplify]: Extracting #0: cost 1 inf + 0 2.674 * * [simplify]: Extracting #1: cost 0 inf + 1 2.674 * [simplify]: Simplified to 1 2.674 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))) 2.674 * * * * [progress]: [ 48 / 60 ] simplifiying candidate # 2.674 * [simplify]: Simplifying (sqrt 1) 2.674 * * [simplify]: iters left: 1 (2 enodes) 2.678 * * [simplify]: Extracting #0: cost 1 inf + 0 2.678 * * [simplify]: Extracting #1: cost 0 inf + 1 2.678 * [simplify]: Simplified to 1 2.678 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* 1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))) 2.678 * * * * [progress]: [ 49 / 60 ] simplifiying candidate # 2.678 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 2.678 * * [simplify]: iters left: 5 (6 enodes) 2.681 * * [simplify]: iters left: 4 (19 enodes) 2.686 * * [simplify]: Extracting #0: cost 1 inf + 0 2.686 * * [simplify]: Extracting #1: cost 3 inf + 0 2.686 * * [simplify]: Extracting #2: cost 5 inf + 0 2.686 * * [simplify]: Extracting #3: cost 8 inf + 0 2.686 * * [simplify]: Extracting #4: cost 9 inf + 1 2.686 * * [simplify]: Extracting #5: cost 0 inf + 938 2.686 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 2.686 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0))))) 2.687 * * * * [progress]: [ 50 / 60 ] simplifiying candidate # 2.687 * * * * [progress]: [ 51 / 60 ] simplifiying candidate # 2.687 * [simplify]: Simplifying (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0)) 2.687 * * [simplify]: iters left: 6 (11 enodes) 2.694 * * [simplify]: iters left: 5 (48 enodes) 2.713 * * [simplify]: iters left: 4 (83 enodes) 2.744 * * [simplify]: iters left: 3 (132 enodes) 2.790 * * [simplify]: iters left: 2 (222 enodes) 2.857 * * [simplify]: iters left: 1 (413 enodes) 3.001 * * [simplify]: Extracting #0: cost 1 inf + 0 3.001 * * [simplify]: Extracting #1: cost 4 inf + 0 3.001 * * [simplify]: Extracting #2: cost 10 inf + 0 3.001 * * [simplify]: Extracting #3: cost 34 inf + 42 3.001 * * [simplify]: Extracting #4: cost 106 inf + 127 3.002 * * [simplify]: Extracting #5: cost 132 inf + 3533 3.004 * * [simplify]: Extracting #6: cost 73 inf + 33992 3.010 * * [simplify]: Extracting #7: cost 4 inf + 76601 3.020 * * [simplify]: Extracting #8: cost 0 inf + 78664 3.031 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)))) 3.031 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* (* re re) re)))) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))) 3.032 * * * * [progress]: [ 52 / 60 ] simplifiying candidate # 3.032 * [simplify]: Simplifying (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) 3.032 * * [simplify]: iters left: 6 (10 enodes) 3.038 * * [simplify]: iters left: 5 (37 enodes) 3.050 * * [simplify]: iters left: 4 (50 enodes) 3.065 * * [simplify]: iters left: 3 (69 enodes) 3.088 * * [simplify]: iters left: 2 (116 enodes) 3.118 * * [simplify]: iters left: 1 (221 enodes) 3.166 * * [simplify]: Extracting #0: cost 1 inf + 0 3.166 * * [simplify]: Extracting #1: cost 4 inf + 0 3.166 * * [simplify]: Extracting #2: cost 8 inf + 0 3.166 * * [simplify]: Extracting #3: cost 29 inf + 83 3.167 * * [simplify]: Extracting #4: cost 60 inf + 125 3.167 * * [simplify]: Extracting #5: cost 55 inf + 370 3.169 * * [simplify]: Extracting #6: cost 14 inf + 6968 3.172 * * [simplify]: Extracting #7: cost 0 inf + 9311 3.175 * * [simplify]: Extracting #8: cost 0 inf + 9241 3.178 * [simplify]: Simplified to (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) 3.178 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (sqrt (- (hypot re im) re))))) 3.178 * * * * [progress]: [ 53 / 60 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))))> 3.178 * * * * [progress]: [ 54 / 60 ] simplifiying candidate # 3.178 * * * * [progress]: [ 55 / 60 ] simplifiying candidate # 3.179 * [simplify]: Simplifying (+ re im) 3.179 * * [simplify]: iters left: 2 (3 enodes) 3.179 * * [simplify]: iters left: 1 (10 enodes) 3.181 * * [simplify]: Extracting #0: cost 1 inf + 0 3.181 * * [simplify]: Extracting #1: cost 4 inf + 0 3.181 * * [simplify]: Extracting #2: cost 2 inf + 2 3.181 * * [simplify]: Extracting #3: cost 0 inf + 86 3.181 * [simplify]: Simplified to (+ im re) 3.181 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (+ im re)) (sqrt 2.0)))) 3.181 * * * * [progress]: [ 56 / 60 ] simplifiying candidate # 3.181 * [simplify]: Simplifying (* 2 re) 3.181 * * [simplify]: iters left: 2 (3 enodes) 3.182 * * [simplify]: iters left: 1 (10 enodes) 3.184 * * [simplify]: Extracting #0: cost 1 inf + 0 3.184 * * [simplify]: Extracting #1: cost 4 inf + 0 3.184 * * [simplify]: Extracting #2: cost 2 inf + 2 3.184 * * [simplify]: Extracting #3: cost 0 inf + 86 3.184 * [simplify]: Simplified to (* 2 re) 3.184 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt (* 2 re)) (sqrt 2.0)))) 3.184 * * * * [progress]: [ 57 / 60 ] simplifiying candidate # 3.184 * [simplify]: Simplifying 0 3.184 * * [simplify]: iters left: 0 (1 enodes) 3.185 * * [simplify]: Extracting #0: cost 1 inf + 0 3.185 * * [simplify]: Extracting #1: cost 0 inf + 1 3.185 * [simplify]: Simplified to 0 3.185 * [simplify]: Simplified (2 2 1 1) to (λ (re im) (* 0.5 (* (sqrt 0) (sqrt 2.0)))) 3.185 * * * * [progress]: [ 58 / 60 ] simplifiying candidate # 3.185 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 3.185 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 3.185 * * * * [progress]: [ 59 / 60 ] simplifiying candidate # 3.185 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.185 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 3.186 * * * * [progress]: [ 60 / 60 ] simplifiying candidate # 3.186 * [simplify]: Simplifying 0 3.186 * * [simplify]: iters left: 0 (1 enodes) 3.186 * * [simplify]: Extracting #0: cost 1 inf + 0 3.186 * * [simplify]: Extracting #1: cost 0 inf + 1 3.186 * [simplify]: Simplified to 0 3.186 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 3.187 * * * [progress]: adding candidates to table 3.771 * * [progress]: iteration 3 / 4 3.771 * * * [progress]: picking best candidate 3.820 * * * * [pick]: Picked # 3.820 * * * [progress]: localizing error 3.848 * * * [progress]: generating rewritten candidates 3.848 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) 3.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 3.862 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.977 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 4.002 * * * [progress]: generating series expansions 4.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1 1) 4.002 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 4.002 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 4.002 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 4.002 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.002 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.002 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.002 * [taylor]: Taking taylor expansion of (* re re) in im 4.002 * [taylor]: Taking taylor expansion of re in im 4.002 * [backup-simplify]: Simplify re into re 4.002 * [taylor]: Taking taylor expansion of re in im 4.002 * [backup-simplify]: Simplify re into re 4.002 * [taylor]: Taking taylor expansion of (* im im) in im 4.002 * [taylor]: Taking taylor expansion of im in im 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify 1 into 1 4.003 * [taylor]: Taking taylor expansion of im in im 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.003 * [backup-simplify]: Simplify (* 0 0) into 0 4.003 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.003 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.003 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.004 * [taylor]: Taking taylor expansion of re in im 4.004 * [backup-simplify]: Simplify re into re 4.004 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.004 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.004 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.004 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.004 * [taylor]: Taking taylor expansion of (* re re) in re 4.004 * [taylor]: Taking taylor expansion of re in re 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [taylor]: Taking taylor expansion of re in re 4.004 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify 1 into 1 4.004 * [taylor]: Taking taylor expansion of (* im im) in re 4.004 * [taylor]: Taking taylor expansion of im in re 4.004 * [backup-simplify]: Simplify im into im 4.004 * [taylor]: Taking taylor expansion of im in re 4.004 * [backup-simplify]: Simplify im into im 4.005 * [backup-simplify]: Simplify (* 0 0) into 0 4.005 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.005 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.005 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.005 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.005 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.006 * [taylor]: Taking taylor expansion of re in re 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.006 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.006 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.006 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.006 * [taylor]: Taking taylor expansion of (* re re) in re 4.006 * [taylor]: Taking taylor expansion of re in re 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of re in re 4.006 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify 1 into 1 4.006 * [taylor]: Taking taylor expansion of (* im im) in re 4.006 * [taylor]: Taking taylor expansion of im in re 4.006 * [backup-simplify]: Simplify im into im 4.006 * [taylor]: Taking taylor expansion of im in re 4.006 * [backup-simplify]: Simplify im into im 4.006 * [backup-simplify]: Simplify (* 0 0) into 0 4.006 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.006 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.006 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.007 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.007 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.007 * [backup-simplify]: Simplify (+ 0 0) into 0 4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.007 * [taylor]: Taking taylor expansion of re in re 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (+ im 0) into im 4.007 * [taylor]: Taking taylor expansion of im in im 4.007 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify (+ 0 1) into 1 4.008 * [taylor]: Taking taylor expansion of 1 in im 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.009 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.009 * [backup-simplify]: Simplify (+ 1 0) into 1 4.009 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.009 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.009 * [taylor]: Taking taylor expansion of 1/2 in im 4.009 * [backup-simplify]: Simplify 1/2 into 1/2 4.009 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.009 * [taylor]: Taking taylor expansion of im in im 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ 1 1) into 1 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.012 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.012 * [backup-simplify]: Simplify (+ 0 0) into 0 4.012 * [taylor]: Taking taylor expansion of 0 in im 4.012 * [backup-simplify]: Simplify 0 into 0 4.012 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.014 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.014 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 4.014 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.014 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.014 * [taylor]: Taking taylor expansion of re in im 4.014 * [backup-simplify]: Simplify re into re 4.014 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.014 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.014 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.014 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.014 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.014 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.014 * [taylor]: Taking taylor expansion of re in im 4.014 * [backup-simplify]: Simplify re into re 4.014 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.014 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.014 * [taylor]: Taking taylor expansion of re in im 4.014 * [backup-simplify]: Simplify re into re 4.014 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.014 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.014 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.014 * [taylor]: Taking taylor expansion of im in im 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.015 * [taylor]: Taking taylor expansion of im in im 4.015 * [backup-simplify]: Simplify 0 into 0 4.015 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [backup-simplify]: Simplify (* 1 1) into 1 4.015 * [backup-simplify]: Simplify (+ 0 1) into 1 4.016 * [backup-simplify]: Simplify (sqrt 1) into 1 4.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.017 * [backup-simplify]: Simplify (+ 0 0) into 0 4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.018 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.018 * [taylor]: Taking taylor expansion of re in re 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.018 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.018 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.018 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.018 * [taylor]: Taking taylor expansion of re in re 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.018 * [backup-simplify]: Simplify (/ 1 1) into 1 4.018 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.018 * [taylor]: Taking taylor expansion of re in re 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.019 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.019 * [taylor]: Taking taylor expansion of im in re 4.019 * [backup-simplify]: Simplify im into im 4.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.019 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.019 * [taylor]: Taking taylor expansion of im in re 4.019 * [backup-simplify]: Simplify im into im 4.019 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (+ 1 0) into 1 4.020 * [backup-simplify]: Simplify (sqrt 1) into 1 4.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.022 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.022 * [taylor]: Taking taylor expansion of re in re 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.022 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.022 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.022 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.022 * [taylor]: Taking taylor expansion of re in re 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.022 * [taylor]: Taking taylor expansion of re in re 4.022 * [backup-simplify]: Simplify 0 into 0 4.022 * [backup-simplify]: Simplify 1 into 1 4.023 * [backup-simplify]: Simplify (/ 1 1) into 1 4.023 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.023 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.023 * [taylor]: Taking taylor expansion of im in re 4.023 * [backup-simplify]: Simplify im into im 4.023 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.023 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.023 * [taylor]: Taking taylor expansion of im in re 4.023 * [backup-simplify]: Simplify im into im 4.023 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.023 * [backup-simplify]: Simplify (* 1 1) into 1 4.023 * [backup-simplify]: Simplify (+ 1 0) into 1 4.024 * [backup-simplify]: Simplify (sqrt 1) into 1 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.025 * [backup-simplify]: Simplify (+ 0 0) into 0 4.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.026 * [backup-simplify]: Simplify (+ 1 1) into 2 4.026 * [taylor]: Taking taylor expansion of 2 in im 4.026 * [backup-simplify]: Simplify 2 into 2 4.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.027 * [backup-simplify]: Simplify (+ 0 0) into 0 4.027 * [taylor]: Taking taylor expansion of 0 in im 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 2 into 2 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.030 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.030 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.031 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.032 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.032 * [taylor]: Taking taylor expansion of 1/2 in im 4.032 * [backup-simplify]: Simplify 1/2 into 1/2 4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.032 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.032 * [taylor]: Taking taylor expansion of im in im 4.032 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify 1 into 1 4.032 * [backup-simplify]: Simplify (* 1 1) into 1 4.033 * [backup-simplify]: Simplify (/ 1 1) into 1 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.042 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.043 * [backup-simplify]: Simplify (+ 0 0) into 0 4.043 * [taylor]: Taking taylor expansion of 0 in im 4.043 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 4.045 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 4.045 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.045 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.045 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.045 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.045 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.045 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.045 * [taylor]: Taking taylor expansion of -1 in im 4.045 * [backup-simplify]: Simplify -1 into -1 4.045 * [taylor]: Taking taylor expansion of re in im 4.045 * [backup-simplify]: Simplify re into re 4.045 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.045 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.045 * [taylor]: Taking taylor expansion of -1 in im 4.045 * [backup-simplify]: Simplify -1 into -1 4.046 * [taylor]: Taking taylor expansion of re in im 4.046 * [backup-simplify]: Simplify re into re 4.046 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.046 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.046 * [taylor]: Taking taylor expansion of -1 in im 4.046 * [backup-simplify]: Simplify -1 into -1 4.046 * [taylor]: Taking taylor expansion of im in im 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [backup-simplify]: Simplify (/ -1 1) into -1 4.046 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.046 * [taylor]: Taking taylor expansion of -1 in im 4.046 * [backup-simplify]: Simplify -1 into -1 4.046 * [taylor]: Taking taylor expansion of im in im 4.046 * [backup-simplify]: Simplify 0 into 0 4.046 * [backup-simplify]: Simplify 1 into 1 4.046 * [backup-simplify]: Simplify (/ -1 1) into -1 4.047 * [backup-simplify]: Simplify (* -1 -1) into 1 4.047 * [backup-simplify]: Simplify (+ 0 1) into 1 4.047 * [backup-simplify]: Simplify (sqrt 1) into 1 4.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.049 * [backup-simplify]: Simplify (+ 0 0) into 0 4.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.049 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.049 * [taylor]: Taking taylor expansion of re in im 4.049 * [backup-simplify]: Simplify re into re 4.050 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.050 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.050 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.050 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.050 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.050 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.050 * [taylor]: Taking taylor expansion of -1 in re 4.050 * [backup-simplify]: Simplify -1 into -1 4.050 * [taylor]: Taking taylor expansion of re in re 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (/ -1 1) into -1 4.050 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.050 * [taylor]: Taking taylor expansion of -1 in re 4.050 * [backup-simplify]: Simplify -1 into -1 4.050 * [taylor]: Taking taylor expansion of re in re 4.050 * [backup-simplify]: Simplify 0 into 0 4.050 * [backup-simplify]: Simplify 1 into 1 4.050 * [backup-simplify]: Simplify (/ -1 1) into -1 4.050 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.050 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.050 * [taylor]: Taking taylor expansion of -1 in re 4.050 * [backup-simplify]: Simplify -1 into -1 4.050 * [taylor]: Taking taylor expansion of im in re 4.051 * [backup-simplify]: Simplify im into im 4.051 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.051 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.051 * [taylor]: Taking taylor expansion of -1 in re 4.051 * [backup-simplify]: Simplify -1 into -1 4.051 * [taylor]: Taking taylor expansion of im in re 4.051 * [backup-simplify]: Simplify im into im 4.051 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.051 * [backup-simplify]: Simplify (* -1 -1) into 1 4.051 * [backup-simplify]: Simplify (+ 1 0) into 1 4.051 * [backup-simplify]: Simplify (sqrt 1) into 1 4.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.054 * [taylor]: Taking taylor expansion of re in re 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (/ 1 1) into 1 4.054 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.054 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.054 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.054 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.054 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.054 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.054 * [taylor]: Taking taylor expansion of -1 in re 4.054 * [backup-simplify]: Simplify -1 into -1 4.054 * [taylor]: Taking taylor expansion of re in re 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (/ -1 1) into -1 4.054 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.054 * [taylor]: Taking taylor expansion of -1 in re 4.054 * [backup-simplify]: Simplify -1 into -1 4.055 * [taylor]: Taking taylor expansion of re in re 4.055 * [backup-simplify]: Simplify 0 into 0 4.055 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (/ -1 1) into -1 4.055 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.055 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.055 * [taylor]: Taking taylor expansion of -1 in re 4.055 * [backup-simplify]: Simplify -1 into -1 4.055 * [taylor]: Taking taylor expansion of im in re 4.055 * [backup-simplify]: Simplify im into im 4.055 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.055 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.055 * [taylor]: Taking taylor expansion of -1 in re 4.055 * [backup-simplify]: Simplify -1 into -1 4.055 * [taylor]: Taking taylor expansion of im in re 4.055 * [backup-simplify]: Simplify im into im 4.055 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.055 * [backup-simplify]: Simplify (* -1 -1) into 1 4.056 * [backup-simplify]: Simplify (+ 1 0) into 1 4.056 * [backup-simplify]: Simplify (sqrt 1) into 1 4.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.057 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.058 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.058 * [taylor]: Taking taylor expansion of re in re 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.059 * [backup-simplify]: Simplify (- 1) into -1 4.059 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.059 * [taylor]: Taking taylor expansion of 0 in im 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.060 * [backup-simplify]: Simplify (- 0) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [taylor]: Taking taylor expansion of 0 in im 4.060 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.062 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (- 0) into 0 4.063 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.063 * [taylor]: Taking taylor expansion of 1/2 in im 4.064 * [backup-simplify]: Simplify 1/2 into 1/2 4.064 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.064 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.064 * [taylor]: Taking taylor expansion of im in im 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (* 1 1) into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.067 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.067 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.068 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (- 0) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [taylor]: Taking taylor expansion of 0 in im 4.069 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.071 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 4.071 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 4.071 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 4.071 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 4.071 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.071 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.071 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.071 * [taylor]: Taking taylor expansion of (* re re) in im 4.071 * [taylor]: Taking taylor expansion of re in im 4.071 * [backup-simplify]: Simplify re into re 4.071 * [taylor]: Taking taylor expansion of re in im 4.071 * [backup-simplify]: Simplify re into re 4.071 * [taylor]: Taking taylor expansion of (* im im) in im 4.071 * [taylor]: Taking taylor expansion of im in im 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [taylor]: Taking taylor expansion of im in im 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.072 * [backup-simplify]: Simplify (* 0 0) into 0 4.072 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.072 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.072 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.073 * [backup-simplify]: Simplify (+ 0 0) into 0 4.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.073 * [taylor]: Taking taylor expansion of re in im 4.073 * [backup-simplify]: Simplify re into re 4.073 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.073 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.073 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.073 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.073 * [taylor]: Taking taylor expansion of (* re re) in re 4.073 * [taylor]: Taking taylor expansion of re in re 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of re in re 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 1 into 1 4.073 * [taylor]: Taking taylor expansion of (* im im) in re 4.074 * [taylor]: Taking taylor expansion of im in re 4.074 * [backup-simplify]: Simplify im into im 4.074 * [taylor]: Taking taylor expansion of im in re 4.074 * [backup-simplify]: Simplify im into im 4.074 * [backup-simplify]: Simplify (* 0 0) into 0 4.074 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.074 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.074 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.075 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.075 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.075 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.075 * [taylor]: Taking taylor expansion of re in re 4.075 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.076 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.076 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.076 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.076 * [taylor]: Taking taylor expansion of (* re re) in re 4.076 * [taylor]: Taking taylor expansion of re in re 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of re in re 4.076 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify 1 into 1 4.076 * [taylor]: Taking taylor expansion of (* im im) in re 4.076 * [taylor]: Taking taylor expansion of im in re 4.076 * [backup-simplify]: Simplify im into im 4.076 * [taylor]: Taking taylor expansion of im in re 4.076 * [backup-simplify]: Simplify im into im 4.076 * [backup-simplify]: Simplify (* 0 0) into 0 4.076 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.077 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.077 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.077 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.077 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.078 * [backup-simplify]: Simplify (+ 0 0) into 0 4.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.078 * [taylor]: Taking taylor expansion of re in re 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify (+ im 0) into im 4.078 * [taylor]: Taking taylor expansion of im in im 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.078 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify (+ 0 1) into 1 4.079 * [taylor]: Taking taylor expansion of 1 in im 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify 1 into 1 4.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.080 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.081 * [backup-simplify]: Simplify (+ 1 0) into 1 4.082 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.082 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.082 * [taylor]: Taking taylor expansion of 1/2 in im 4.082 * [backup-simplify]: Simplify 1/2 into 1/2 4.082 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.082 * [taylor]: Taking taylor expansion of im in im 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.086 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.086 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.087 * [backup-simplify]: Simplify (+ 0 0) into 0 4.087 * [taylor]: Taking taylor expansion of 0 in im 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 0 into 0 4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.089 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 4.090 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 4.090 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.090 * [taylor]: Taking taylor expansion of re in im 4.090 * [backup-simplify]: Simplify re into re 4.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.090 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.090 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.090 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.090 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.090 * [taylor]: Taking taylor expansion of re in im 4.090 * [backup-simplify]: Simplify re into re 4.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.090 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.090 * [taylor]: Taking taylor expansion of re in im 4.090 * [backup-simplify]: Simplify re into re 4.090 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.090 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.090 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.090 * [taylor]: Taking taylor expansion of im in im 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.091 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.091 * [taylor]: Taking taylor expansion of im in im 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ 1 1) into 1 4.092 * [backup-simplify]: Simplify (* 1 1) into 1 4.092 * [backup-simplify]: Simplify (+ 0 1) into 1 4.092 * [backup-simplify]: Simplify (sqrt 1) into 1 4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.095 * [backup-simplify]: Simplify (+ 0 0) into 0 4.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.096 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.096 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.096 * [taylor]: Taking taylor expansion of re in re 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.097 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.097 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.097 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.097 * [taylor]: Taking taylor expansion of re in re 4.097 * [backup-simplify]: Simplify 0 into 0 4.097 * [backup-simplify]: Simplify 1 into 1 4.097 * [backup-simplify]: Simplify (/ 1 1) into 1 4.097 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.097 * [taylor]: Taking taylor expansion of re in re 4.098 * [backup-simplify]: Simplify 0 into 0 4.098 * [backup-simplify]: Simplify 1 into 1 4.098 * [backup-simplify]: Simplify (/ 1 1) into 1 4.098 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.098 * [taylor]: Taking taylor expansion of im in re 4.098 * [backup-simplify]: Simplify im into im 4.098 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.098 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.098 * [taylor]: Taking taylor expansion of im in re 4.098 * [backup-simplify]: Simplify im into im 4.098 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.099 * [backup-simplify]: Simplify (* 1 1) into 1 4.099 * [backup-simplify]: Simplify (+ 1 0) into 1 4.099 * [backup-simplify]: Simplify (sqrt 1) into 1 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.101 * [backup-simplify]: Simplify (+ 0 0) into 0 4.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.102 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.102 * [taylor]: Taking taylor expansion of re in re 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.102 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.102 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.102 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.102 * [taylor]: Taking taylor expansion of re in re 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (/ 1 1) into 1 4.102 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.102 * [taylor]: Taking taylor expansion of re in re 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.103 * [backup-simplify]: Simplify (/ 1 1) into 1 4.103 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.103 * [taylor]: Taking taylor expansion of im in re 4.103 * [backup-simplify]: Simplify im into im 4.103 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.103 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.103 * [taylor]: Taking taylor expansion of im in re 4.103 * [backup-simplify]: Simplify im into im 4.103 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.103 * [backup-simplify]: Simplify (* 1 1) into 1 4.103 * [backup-simplify]: Simplify (+ 1 0) into 1 4.104 * [backup-simplify]: Simplify (sqrt 1) into 1 4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.105 * [backup-simplify]: Simplify (+ 0 0) into 0 4.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.106 * [backup-simplify]: Simplify (+ 1 1) into 2 4.106 * [taylor]: Taking taylor expansion of 2 in im 4.106 * [backup-simplify]: Simplify 2 into 2 4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.107 * [backup-simplify]: Simplify (+ 0 0) into 0 4.107 * [taylor]: Taking taylor expansion of 0 in im 4.107 * [backup-simplify]: Simplify 0 into 0 4.107 * [backup-simplify]: Simplify 2 into 2 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.109 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.109 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.110 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.110 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.110 * [taylor]: Taking taylor expansion of 1/2 in im 4.110 * [backup-simplify]: Simplify 1/2 into 1/2 4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.110 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.110 * [taylor]: Taking taylor expansion of im in im 4.110 * [backup-simplify]: Simplify 0 into 0 4.110 * [backup-simplify]: Simplify 1 into 1 4.110 * [backup-simplify]: Simplify (* 1 1) into 1 4.110 * [backup-simplify]: Simplify (/ 1 1) into 1 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.115 * [backup-simplify]: Simplify (+ 0 0) into 0 4.115 * [taylor]: Taking taylor expansion of 0 in im 4.115 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 4.117 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 4.117 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.117 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.117 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.117 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.117 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.117 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.117 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.117 * [taylor]: Taking taylor expansion of -1 in im 4.117 * [backup-simplify]: Simplify -1 into -1 4.117 * [taylor]: Taking taylor expansion of re in im 4.117 * [backup-simplify]: Simplify re into re 4.117 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.117 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.117 * [taylor]: Taking taylor expansion of -1 in im 4.117 * [backup-simplify]: Simplify -1 into -1 4.117 * [taylor]: Taking taylor expansion of re in im 4.118 * [backup-simplify]: Simplify re into re 4.118 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.118 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.118 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.118 * [taylor]: Taking taylor expansion of -1 in im 4.118 * [backup-simplify]: Simplify -1 into -1 4.118 * [taylor]: Taking taylor expansion of im in im 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ -1 1) into -1 4.118 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.118 * [taylor]: Taking taylor expansion of -1 in im 4.118 * [backup-simplify]: Simplify -1 into -1 4.118 * [taylor]: Taking taylor expansion of im in im 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (/ -1 1) into -1 4.119 * [backup-simplify]: Simplify (* -1 -1) into 1 4.119 * [backup-simplify]: Simplify (+ 0 1) into 1 4.119 * [backup-simplify]: Simplify (sqrt 1) into 1 4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.121 * [backup-simplify]: Simplify (+ 0 0) into 0 4.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.121 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.121 * [taylor]: Taking taylor expansion of re in im 4.121 * [backup-simplify]: Simplify re into re 4.121 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.121 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.121 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.121 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.121 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.121 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.121 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.121 * [taylor]: Taking taylor expansion of -1 in re 4.121 * [backup-simplify]: Simplify -1 into -1 4.121 * [taylor]: Taking taylor expansion of re in re 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (/ -1 1) into -1 4.122 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.122 * [taylor]: Taking taylor expansion of -1 in re 4.122 * [backup-simplify]: Simplify -1 into -1 4.122 * [taylor]: Taking taylor expansion of re in re 4.122 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (/ -1 1) into -1 4.122 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.122 * [taylor]: Taking taylor expansion of -1 in re 4.122 * [backup-simplify]: Simplify -1 into -1 4.122 * [taylor]: Taking taylor expansion of im in re 4.122 * [backup-simplify]: Simplify im into im 4.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.122 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.122 * [taylor]: Taking taylor expansion of -1 in re 4.122 * [backup-simplify]: Simplify -1 into -1 4.122 * [taylor]: Taking taylor expansion of im in re 4.122 * [backup-simplify]: Simplify im into im 4.122 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.123 * [backup-simplify]: Simplify (* -1 -1) into 1 4.123 * [backup-simplify]: Simplify (+ 1 0) into 1 4.123 * [backup-simplify]: Simplify (sqrt 1) into 1 4.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.125 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.125 * [taylor]: Taking taylor expansion of re in re 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ 1 1) into 1 4.126 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.126 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.126 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.126 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.126 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.126 * [taylor]: Taking taylor expansion of -1 in re 4.126 * [backup-simplify]: Simplify -1 into -1 4.126 * [taylor]: Taking taylor expansion of re in re 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ -1 1) into -1 4.126 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.126 * [taylor]: Taking taylor expansion of -1 in re 4.126 * [backup-simplify]: Simplify -1 into -1 4.126 * [taylor]: Taking taylor expansion of re in re 4.126 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify 1 into 1 4.126 * [backup-simplify]: Simplify (/ -1 1) into -1 4.127 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.127 * [taylor]: Taking taylor expansion of -1 in re 4.127 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of im in re 4.127 * [backup-simplify]: Simplify im into im 4.127 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.127 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.127 * [taylor]: Taking taylor expansion of -1 in re 4.127 * [backup-simplify]: Simplify -1 into -1 4.127 * [taylor]: Taking taylor expansion of im in re 4.127 * [backup-simplify]: Simplify im into im 4.127 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.127 * [backup-simplify]: Simplify (* -1 -1) into 1 4.127 * [backup-simplify]: Simplify (+ 1 0) into 1 4.128 * [backup-simplify]: Simplify (sqrt 1) into 1 4.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.129 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.129 * [backup-simplify]: Simplify (+ 0 0) into 0 4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.130 * [taylor]: Taking taylor expansion of re in re 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify 1 into 1 4.130 * [backup-simplify]: Simplify (/ 1 1) into 1 4.130 * [backup-simplify]: Simplify (- 1) into -1 4.131 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.131 * [taylor]: Taking taylor expansion of 0 in im 4.131 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (- 0) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [taylor]: Taking taylor expansion of 0 in im 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.134 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.134 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.134 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.136 * [taylor]: Taking taylor expansion of 1/2 in im 4.136 * [backup-simplify]: Simplify 1/2 into 1/2 4.136 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.136 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.136 * [taylor]: Taking taylor expansion of im in im 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify 1 into 1 4.136 * [backup-simplify]: Simplify (* 1 1) into 1 4.136 * [backup-simplify]: Simplify (/ 1 1) into 1 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.140 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.140 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.140 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (- 0) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [taylor]: Taking taylor expansion of 0 in im 4.141 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.148 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 4.148 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0 4.148 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im 4.148 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 4.148 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 4.148 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.148 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.148 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.148 * [taylor]: Taking taylor expansion of (* re re) in im 4.148 * [taylor]: Taking taylor expansion of re in im 4.148 * [backup-simplify]: Simplify re into re 4.148 * [taylor]: Taking taylor expansion of re in im 4.148 * [backup-simplify]: Simplify re into re 4.148 * [taylor]: Taking taylor expansion of (* im im) in im 4.148 * [taylor]: Taking taylor expansion of im in im 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [taylor]: Taking taylor expansion of im in im 4.148 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify 1 into 1 4.148 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.149 * [backup-simplify]: Simplify (* 0 0) into 0 4.149 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.149 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.149 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.149 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.149 * [taylor]: Taking taylor expansion of re in im 4.150 * [backup-simplify]: Simplify re into re 4.150 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.150 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 4.150 * [backup-simplify]: Simplify (+ 0 0) into 0 4.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 4.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.150 * [taylor]: Taking taylor expansion of 2.0 in im 4.150 * [backup-simplify]: Simplify 2.0 into 2.0 4.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 4.151 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 4.151 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.151 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.151 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.151 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.151 * [taylor]: Taking taylor expansion of (* re re) in re 4.151 * [taylor]: Taking taylor expansion of re in re 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of re in re 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [taylor]: Taking taylor expansion of (* im im) in re 4.151 * [taylor]: Taking taylor expansion of im in re 4.151 * [backup-simplify]: Simplify im into im 4.151 * [taylor]: Taking taylor expansion of im in re 4.151 * [backup-simplify]: Simplify im into im 4.151 * [backup-simplify]: Simplify (* 0 0) into 0 4.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.152 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.152 * [backup-simplify]: Simplify (+ 0 0) into 0 4.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.152 * [taylor]: Taking taylor expansion of re in re 4.152 * [backup-simplify]: Simplify 0 into 0 4.152 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (+ im 0) into im 4.152 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.153 * [backup-simplify]: Simplify (+ 0 1) into 1 4.153 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 4.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.153 * [taylor]: Taking taylor expansion of 2.0 in re 4.153 * [backup-simplify]: Simplify 2.0 into 2.0 4.153 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.153 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 4.153 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 4.153 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.153 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.153 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.153 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.153 * [taylor]: Taking taylor expansion of (* re re) in re 4.153 * [taylor]: Taking taylor expansion of re in re 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [taylor]: Taking taylor expansion of re in re 4.154 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify 1 into 1 4.154 * [taylor]: Taking taylor expansion of (* im im) in re 4.154 * [taylor]: Taking taylor expansion of im in re 4.154 * [backup-simplify]: Simplify im into im 4.154 * [taylor]: Taking taylor expansion of im in re 4.154 * [backup-simplify]: Simplify im into im 4.154 * [backup-simplify]: Simplify (* 0 0) into 0 4.154 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.154 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.154 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.154 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.154 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.155 * [backup-simplify]: Simplify (+ 0 0) into 0 4.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.155 * [taylor]: Taking taylor expansion of re in re 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (+ im 0) into im 4.155 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 4.155 * [backup-simplify]: Simplify (+ 0 1) into 1 4.155 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 4.155 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.155 * [taylor]: Taking taylor expansion of 2.0 in re 4.155 * [backup-simplify]: Simplify 2.0 into 2.0 4.156 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.156 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 4.156 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 4.156 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.156 * [taylor]: Taking taylor expansion of 2.0 in im 4.156 * [backup-simplify]: Simplify 2.0 into 2.0 4.157 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.157 * [taylor]: Taking taylor expansion of (sqrt im) in im 4.157 * [taylor]: Taking taylor expansion of im in im 4.157 * [backup-simplify]: Simplify 0 into 0 4.157 * [backup-simplify]: Simplify 1 into 1 4.157 * [backup-simplify]: Simplify (sqrt 0) into 0 4.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.159 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 4.159 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 4.159 * [taylor]: Taking taylor expansion of 1/2 in im 4.159 * [backup-simplify]: Simplify 1/2 into 1/2 4.159 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 4.159 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.159 * [taylor]: Taking taylor expansion of 2.0 in im 4.159 * [backup-simplify]: Simplify 2.0 into 2.0 4.159 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 4.160 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.160 * [taylor]: Taking taylor expansion of im in im 4.160 * [backup-simplify]: Simplify 0 into 0 4.160 * [backup-simplify]: Simplify 1 into 1 4.160 * [backup-simplify]: Simplify (/ 1 1) into 1 4.160 * [backup-simplify]: Simplify (sqrt 0) into 0 4.161 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.163 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.163 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.166 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.168 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.168 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.169 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.170 * [backup-simplify]: Simplify (+ 1 0) into 1 4.171 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.171 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.171 * [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)))) 4.172 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 4.172 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 4.172 * [taylor]: Taking taylor expansion of 1/8 in im 4.172 * [backup-simplify]: Simplify 1/8 into 1/8 4.172 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 4.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.172 * [taylor]: Taking taylor expansion of 2.0 in im 4.172 * [backup-simplify]: Simplify 2.0 into 2.0 4.172 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 4.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 4.172 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.173 * [taylor]: Taking taylor expansion of im in im 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (* 1 1) into 1 4.173 * [backup-simplify]: Simplify (* 1 1) into 1 4.173 * [backup-simplify]: Simplify (/ 1 1) into 1 4.173 * [backup-simplify]: Simplify (sqrt 0) into 0 4.174 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.178 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.180 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.182 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.184 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.185 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.190 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.191 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.197 * [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))))))) 4.199 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (sqrt (sqrt 2.0)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 4.199 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 4.199 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 4.199 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.199 * [taylor]: Taking taylor expansion of 2.0 in im 4.199 * [backup-simplify]: Simplify 2.0 into 2.0 4.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 4.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.200 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.200 * [taylor]: Taking taylor expansion of re in im 4.200 * [backup-simplify]: Simplify re into re 4.201 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.201 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.201 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.201 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.201 * [taylor]: Taking taylor expansion of re in im 4.201 * [backup-simplify]: Simplify re into re 4.201 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.201 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.201 * [taylor]: Taking taylor expansion of re in im 4.201 * [backup-simplify]: Simplify re into re 4.201 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.201 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.201 * [taylor]: Taking taylor expansion of im in im 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (/ 1 1) into 1 4.201 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.201 * [taylor]: Taking taylor expansion of im in im 4.202 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [backup-simplify]: Simplify (* 1 1) into 1 4.203 * [backup-simplify]: Simplify (+ 0 1) into 1 4.203 * [backup-simplify]: Simplify (sqrt 1) into 1 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.205 * [backup-simplify]: Simplify (+ 0 0) into 0 4.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.206 * [backup-simplify]: Simplify (+ 0 1) into 1 4.206 * [backup-simplify]: Simplify (sqrt 0) into 0 4.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.207 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 4.207 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.207 * [taylor]: Taking taylor expansion of 2.0 in re 4.207 * [backup-simplify]: Simplify 2.0 into 2.0 4.207 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 4.208 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.208 * [taylor]: Taking taylor expansion of re in re 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ 1 1) into 1 4.208 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.208 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.208 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.208 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.208 * [taylor]: Taking taylor expansion of re in re 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ 1 1) into 1 4.208 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.208 * [taylor]: Taking taylor expansion of re in re 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (/ 1 1) into 1 4.209 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.209 * [taylor]: Taking taylor expansion of im in re 4.209 * [backup-simplify]: Simplify im into im 4.209 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.209 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.209 * [taylor]: Taking taylor expansion of im in re 4.209 * [backup-simplify]: Simplify im into im 4.209 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.209 * [backup-simplify]: Simplify (* 1 1) into 1 4.209 * [backup-simplify]: Simplify (+ 1 0) into 1 4.209 * [backup-simplify]: Simplify (sqrt 1) into 1 4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.212 * [backup-simplify]: Simplify (+ 1 1) into 2 4.212 * [backup-simplify]: Simplify (sqrt 0) into 0 4.213 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 4.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 4.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.213 * [taylor]: Taking taylor expansion of 2.0 in re 4.213 * [backup-simplify]: Simplify 2.0 into 2.0 4.213 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 4.214 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.214 * [taylor]: Taking taylor expansion of re in re 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.214 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.214 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.214 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.214 * [taylor]: Taking taylor expansion of re in re 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.214 * [backup-simplify]: Simplify (/ 1 1) into 1 4.214 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.214 * [taylor]: Taking taylor expansion of re in re 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (/ 1 1) into 1 4.215 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.215 * [taylor]: Taking taylor expansion of im in re 4.215 * [backup-simplify]: Simplify im into im 4.215 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.215 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.215 * [taylor]: Taking taylor expansion of im in re 4.215 * [backup-simplify]: Simplify im into im 4.215 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.215 * [backup-simplify]: Simplify (+ 1 0) into 1 4.216 * [backup-simplify]: Simplify (sqrt 1) into 1 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.217 * [backup-simplify]: Simplify (+ 0 0) into 0 4.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.218 * [backup-simplify]: Simplify (+ 1 1) into 2 4.218 * [backup-simplify]: Simplify (sqrt 0) into 0 4.219 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 4.219 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 4.219 * [taylor]: Taking taylor expansion of 0 in im 4.219 * [backup-simplify]: Simplify 0 into 0 4.220 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 4.220 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.221 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.221 * [taylor]: Taking taylor expansion of +nan.0 in im 4.221 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.221 * [taylor]: Taking taylor expansion of 2.0 in im 4.221 * [backup-simplify]: Simplify 2.0 into 2.0 4.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ 0 0) into 0 4.224 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.224 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.226 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 4.226 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 4.226 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.226 * [taylor]: Taking taylor expansion of +nan.0 in im 4.226 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.226 * [taylor]: Taking taylor expansion of 2.0 in im 4.226 * [backup-simplify]: Simplify 2.0 into 2.0 4.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.228 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.229 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.230 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.232 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.232 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.233 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.233 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.234 * [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)) 4.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.236 * [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)))))) 4.236 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 4.236 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 4.236 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.236 * [taylor]: Taking taylor expansion of +nan.0 in im 4.236 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.236 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.236 * [taylor]: Taking taylor expansion of 2.0 in im 4.236 * [backup-simplify]: Simplify 2.0 into 2.0 4.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.237 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.237 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.237 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.237 * [taylor]: Taking taylor expansion of +nan.0 in im 4.237 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.237 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.237 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.237 * [taylor]: Taking taylor expansion of 2.0 in im 4.237 * [backup-simplify]: Simplify 2.0 into 2.0 4.237 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.238 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.238 * [taylor]: Taking taylor expansion of im in im 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.238 * [backup-simplify]: Simplify (* 1 1) into 1 4.239 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.240 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.240 * [backup-simplify]: Simplify (- 0) into 0 4.241 * [backup-simplify]: Simplify (+ 0 0) into 0 4.241 * [backup-simplify]: Simplify (- 0) into 0 4.241 * [backup-simplify]: Simplify 0 into 0 4.241 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.242 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.243 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.244 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.244 * [backup-simplify]: Simplify (- 0) into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.244 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.249 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.249 * [backup-simplify]: Simplify (+ 0 0) into 0 4.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [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))) 4.251 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.252 * [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)))))) 4.252 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 4.252 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 4.252 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.252 * [taylor]: Taking taylor expansion of +nan.0 in im 4.252 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.252 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.252 * [taylor]: Taking taylor expansion of 2.0 in im 4.252 * [backup-simplify]: Simplify 2.0 into 2.0 4.253 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.253 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.253 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.253 * [taylor]: Taking taylor expansion of +nan.0 in im 4.253 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.253 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.253 * [taylor]: Taking taylor expansion of 2.0 in im 4.253 * [backup-simplify]: Simplify 2.0 into 2.0 4.254 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.254 * [taylor]: Taking taylor expansion of im in im 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify 1 into 1 4.254 * [backup-simplify]: Simplify (* 1 1) into 1 4.255 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.256 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify (+ 0 0) into 0 4.257 * [backup-simplify]: Simplify (- 0) into 0 4.257 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.258 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.260 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.260 * [backup-simplify]: Simplify (- 0) into 0 4.261 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.263 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.264 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.267 * [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)))))))) 4.269 * [backup-simplify]: Simplify (* (* (sqrt (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) (sqrt (sqrt 2.0)))) into (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) 4.269 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 4.269 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im 4.269 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 4.269 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.269 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.269 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.269 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.269 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.269 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.269 * [taylor]: Taking taylor expansion of -1 in im 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of re in im 4.269 * [backup-simplify]: Simplify re into re 4.269 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.269 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.269 * [taylor]: Taking taylor expansion of -1 in im 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of re in im 4.269 * [backup-simplify]: Simplify re into re 4.269 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.269 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.269 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.269 * [taylor]: Taking taylor expansion of -1 in im 4.269 * [backup-simplify]: Simplify -1 into -1 4.269 * [taylor]: Taking taylor expansion of im in im 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (/ -1 1) into -1 4.270 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.270 * [taylor]: Taking taylor expansion of -1 in im 4.270 * [backup-simplify]: Simplify -1 into -1 4.270 * [taylor]: Taking taylor expansion of im in im 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 1 into 1 4.270 * [backup-simplify]: Simplify (/ -1 1) into -1 4.270 * [backup-simplify]: Simplify (* -1 -1) into 1 4.270 * [backup-simplify]: Simplify (+ 0 1) into 1 4.271 * [backup-simplify]: Simplify (sqrt 1) into 1 4.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.272 * [backup-simplify]: Simplify (+ 0 0) into 0 4.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.273 * [taylor]: Taking taylor expansion of re in im 4.273 * [backup-simplify]: Simplify re into re 4.273 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.273 * [backup-simplify]: Simplify (+ 1 0) into 1 4.274 * [backup-simplify]: Simplify (sqrt 0) into 0 4.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.275 * [taylor]: Taking taylor expansion of 2.0 in im 4.275 * [backup-simplify]: Simplify 2.0 into 2.0 4.275 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.275 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 4.275 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 4.275 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.275 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.275 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.275 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.275 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.275 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.275 * [taylor]: Taking taylor expansion of -1 in re 4.275 * [backup-simplify]: Simplify -1 into -1 4.275 * [taylor]: Taking taylor expansion of re in re 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (/ -1 1) into -1 4.276 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.276 * [taylor]: Taking taylor expansion of -1 in re 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of re in re 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [backup-simplify]: Simplify (/ -1 1) into -1 4.276 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.276 * [taylor]: Taking taylor expansion of -1 in re 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of im in re 4.276 * [backup-simplify]: Simplify im into im 4.276 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.276 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.276 * [taylor]: Taking taylor expansion of -1 in re 4.276 * [backup-simplify]: Simplify -1 into -1 4.276 * [taylor]: Taking taylor expansion of im in re 4.276 * [backup-simplify]: Simplify im into im 4.276 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.277 * [backup-simplify]: Simplify (* -1 -1) into 1 4.277 * [backup-simplify]: Simplify (+ 1 0) into 1 4.277 * [backup-simplify]: Simplify (sqrt 1) into 1 4.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.279 * [backup-simplify]: Simplify (+ 0 0) into 0 4.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.279 * [taylor]: Taking taylor expansion of re in re 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.280 * [backup-simplify]: Simplify (/ 1 1) into 1 4.280 * [backup-simplify]: Simplify (- 1) into -1 4.280 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.283 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.284 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (- 0) into 0 4.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.286 * [backup-simplify]: Simplify (sqrt 0) into 0 4.287 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 4.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.287 * [taylor]: Taking taylor expansion of 2.0 in re 4.287 * [backup-simplify]: Simplify 2.0 into 2.0 4.287 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.288 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 4.288 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 4.288 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.288 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.288 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.288 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.288 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.288 * [taylor]: Taking taylor expansion of -1 in re 4.288 * [backup-simplify]: Simplify -1 into -1 4.288 * [taylor]: Taking taylor expansion of re in re 4.288 * [backup-simplify]: Simplify 0 into 0 4.288 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ -1 1) into -1 4.289 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.289 * [taylor]: Taking taylor expansion of -1 in re 4.289 * [backup-simplify]: Simplify -1 into -1 4.289 * [taylor]: Taking taylor expansion of re in re 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [backup-simplify]: Simplify (/ -1 1) into -1 4.289 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.289 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.289 * [taylor]: Taking taylor expansion of -1 in re 4.289 * [backup-simplify]: Simplify -1 into -1 4.290 * [taylor]: Taking taylor expansion of im in re 4.290 * [backup-simplify]: Simplify im into im 4.290 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.290 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.290 * [taylor]: Taking taylor expansion of -1 in re 4.290 * [backup-simplify]: Simplify -1 into -1 4.290 * [taylor]: Taking taylor expansion of im in re 4.290 * [backup-simplify]: Simplify im into im 4.290 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.290 * [backup-simplify]: Simplify (* -1 -1) into 1 4.291 * [backup-simplify]: Simplify (+ 1 0) into 1 4.291 * [backup-simplify]: Simplify (sqrt 1) into 1 4.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.294 * [backup-simplify]: Simplify (+ 0 0) into 0 4.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.295 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.295 * [taylor]: Taking taylor expansion of re in re 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (/ 1 1) into 1 4.296 * [backup-simplify]: Simplify (- 1) into -1 4.296 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.298 * [backup-simplify]: Simplify (- 0) into 0 4.298 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.301 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.301 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.302 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.304 * [backup-simplify]: Simplify (- 0) into 0 4.304 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.304 * [backup-simplify]: Simplify (sqrt 0) into 0 4.305 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 4.305 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.305 * [taylor]: Taking taylor expansion of 2.0 in re 4.305 * [backup-simplify]: Simplify 2.0 into 2.0 4.305 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.307 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 4.307 * [taylor]: Taking taylor expansion of 0 in im 4.307 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 4.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.308 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.308 * [taylor]: Taking taylor expansion of +nan.0 in im 4.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.308 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.308 * [taylor]: Taking taylor expansion of 2.0 in im 4.308 * [backup-simplify]: Simplify 2.0 into 2.0 4.308 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.309 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.309 * [taylor]: Taking taylor expansion of im in im 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.310 * [backup-simplify]: Simplify (* 1 1) into 1 4.310 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.318 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.318 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.318 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.319 * [backup-simplify]: Simplify (+ 0 0) into 0 4.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (- 0) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 4.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (* (/ +nan.0 (pow im 4)) (sqrt 2.0)))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 4.323 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 4.323 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.323 * [taylor]: Taking taylor expansion of +nan.0 in im 4.323 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.323 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.323 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.323 * [taylor]: Taking taylor expansion of 2.0 in im 4.323 * [backup-simplify]: Simplify 2.0 into 2.0 4.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.325 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.325 * [taylor]: Taking taylor expansion of im in im 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (* 1 1) into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.327 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.328 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 4.335 * [backup-simplify]: Simplify (- 0) into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.338 * [backup-simplify]: Simplify (- 0) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.341 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.341 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.342 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.343 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 4.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.343 * [backup-simplify]: Simplify (- 0) into 0 4.343 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 4.344 * [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))))) 4.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (/ +nan.0 (pow im 2)) 0) (+ (* (/ +nan.0 (pow im 4)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 6))) (* 1/8 (/ 1 (pow im 4))))) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 4.345 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 4.345 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 4.345 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.345 * [taylor]: Taking taylor expansion of +nan.0 in im 4.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.345 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.345 * [taylor]: Taking taylor expansion of 2.0 in im 4.345 * [backup-simplify]: Simplify 2.0 into 2.0 4.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.346 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.346 * [taylor]: Taking taylor expansion of im in im 4.346 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (* 1 1) into 1 4.346 * [backup-simplify]: Simplify (* 1 1) into 1 4.347 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 4.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 4.347 * [taylor]: Taking taylor expansion of +nan.0 in im 4.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 4.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.347 * [taylor]: Taking taylor expansion of 2.0 in im 4.347 * [backup-simplify]: Simplify 2.0 into 2.0 4.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.348 * [taylor]: Taking taylor expansion of (pow im 6) in im 4.348 * [taylor]: Taking taylor expansion of im in im 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (* 1 1) into 1 4.348 * [backup-simplify]: Simplify (* 1 1) into 1 4.349 * [backup-simplify]: Simplify (* 1 1) into 1 4.349 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.351 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 4.362 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.364 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 4.389 * [backup-simplify]: Simplify (- 0) into 0 4.390 * [backup-simplify]: Simplify (+ 0 0) into 0 4.390 * [backup-simplify]: Simplify (- 0) into 0 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * [backup-simplify]: Simplify 0 into 0 4.390 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.392 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) into (* (pow (+ (hypot re im) re) 1/4) (sqrt (sqrt 2.0))) 4.392 * [approximate]: Taking taylor expansion of (* (pow (+ (hypot re im) re) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 4.392 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot re im) re) 1/4) (sqrt (sqrt 2.0))) in im 4.392 * [taylor]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/4) in im 4.392 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot re im) re)))) in im 4.392 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot re im) re))) in im 4.392 * [taylor]: Taking taylor expansion of 1/4 in im 4.392 * [backup-simplify]: Simplify 1/4 into 1/4 4.392 * [taylor]: Taking taylor expansion of (log (+ (hypot re im) re)) in im 4.392 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 4.392 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.392 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.392 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.392 * [taylor]: Taking taylor expansion of (* re re) in im 4.392 * [taylor]: Taking taylor expansion of re in im 4.392 * [backup-simplify]: Simplify re into re 4.392 * [taylor]: Taking taylor expansion of re in im 4.392 * [backup-simplify]: Simplify re into re 4.392 * [taylor]: Taking taylor expansion of (* im im) in im 4.392 * [taylor]: Taking taylor expansion of im in im 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [taylor]: Taking taylor expansion of im in im 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.392 * [backup-simplify]: Simplify (* 0 0) into 0 4.392 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.393 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.393 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.393 * [backup-simplify]: Simplify (+ 0 0) into 0 4.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.393 * [taylor]: Taking taylor expansion of re in im 4.393 * [backup-simplify]: Simplify re into re 4.393 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 4.393 * [backup-simplify]: Simplify (log (* 2 re)) into (log (* 2 re)) 4.393 * [backup-simplify]: Simplify (* 1/4 (log (* 2 re))) into (* 1/4 (log (* 2 re))) 4.393 * [backup-simplify]: Simplify (exp (* 1/4 (log (* 2 re)))) into (pow (* 2 re) 1/4) 4.394 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.394 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.394 * [taylor]: Taking taylor expansion of 2.0 in im 4.394 * [backup-simplify]: Simplify 2.0 into 2.0 4.394 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.395 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.395 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot re im) re) 1/4) (sqrt (sqrt 2.0))) in re 4.395 * [taylor]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/4) in re 4.395 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot re im) re)))) in re 4.395 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot re im) re))) in re 4.395 * [taylor]: Taking taylor expansion of 1/4 in re 4.395 * [backup-simplify]: Simplify 1/4 into 1/4 4.395 * [taylor]: Taking taylor expansion of (log (+ (hypot re im) re)) in re 4.395 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.395 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.395 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.395 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.395 * [taylor]: Taking taylor expansion of (* re re) in re 4.396 * [taylor]: Taking taylor expansion of re in re 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [taylor]: Taking taylor expansion of re in re 4.396 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify 1 into 1 4.396 * [taylor]: Taking taylor expansion of (* im im) in re 4.396 * [taylor]: Taking taylor expansion of im in re 4.396 * [backup-simplify]: Simplify im into im 4.396 * [taylor]: Taking taylor expansion of im in re 4.396 * [backup-simplify]: Simplify im into im 4.396 * [backup-simplify]: Simplify (* 0 0) into 0 4.396 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.396 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.396 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.396 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.397 * [taylor]: Taking taylor expansion of re in re 4.397 * [backup-simplify]: Simplify 0 into 0 4.397 * [backup-simplify]: Simplify 1 into 1 4.397 * [backup-simplify]: Simplify (+ im 0) into im 4.397 * [backup-simplify]: Simplify (log im) into (log im) 4.397 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 4.397 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 4.397 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 4.397 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.397 * [taylor]: Taking taylor expansion of 2.0 in re 4.397 * [backup-simplify]: Simplify 2.0 into 2.0 4.398 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.399 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.399 * [taylor]: Taking taylor expansion of (* (pow (+ (hypot re im) re) 1/4) (sqrt (sqrt 2.0))) in re 4.399 * [taylor]: Taking taylor expansion of (pow (+ (hypot re im) re) 1/4) in re 4.399 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (hypot re im) re)))) in re 4.399 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (hypot re im) re))) in re 4.399 * [taylor]: Taking taylor expansion of 1/4 in re 4.399 * [backup-simplify]: Simplify 1/4 into 1/4 4.399 * [taylor]: Taking taylor expansion of (log (+ (hypot re im) re)) in re 4.399 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.399 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.399 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.399 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.399 * [taylor]: Taking taylor expansion of (* re re) in re 4.399 * [taylor]: Taking taylor expansion of re in re 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [taylor]: Taking taylor expansion of re in re 4.399 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify 1 into 1 4.399 * [taylor]: Taking taylor expansion of (* im im) in re 4.399 * [taylor]: Taking taylor expansion of im in re 4.399 * [backup-simplify]: Simplify im into im 4.399 * [taylor]: Taking taylor expansion of im in re 4.399 * [backup-simplify]: Simplify im into im 4.400 * [backup-simplify]: Simplify (* 0 0) into 0 4.400 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.400 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.400 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.400 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.400 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.401 * [backup-simplify]: Simplify (+ 0 0) into 0 4.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.401 * [taylor]: Taking taylor expansion of re in re 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 1 into 1 4.401 * [backup-simplify]: Simplify (+ im 0) into im 4.401 * [backup-simplify]: Simplify (log im) into (log im) 4.401 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 4.401 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 4.401 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 4.401 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.401 * [taylor]: Taking taylor expansion of 2.0 in re 4.401 * [backup-simplify]: Simplify 2.0 into 2.0 4.401 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.402 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.403 * [backup-simplify]: Simplify (* (pow im 1/4) (sqrt (sqrt 2.0))) into (* (sqrt (sqrt 2.0)) (pow im 1/4)) 4.403 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow im 1/4)) in im 4.403 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.403 * [taylor]: Taking taylor expansion of 2.0 in im 4.403 * [backup-simplify]: Simplify 2.0 into 2.0 4.404 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.405 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.405 * [taylor]: Taking taylor expansion of (pow im 1/4) in im 4.405 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log im))) in im 4.405 * [taylor]: Taking taylor expansion of (* 1/4 (log im)) in im 4.405 * [taylor]: Taking taylor expansion of 1/4 in im 4.405 * [backup-simplify]: Simplify 1/4 into 1/4 4.405 * [taylor]: Taking taylor expansion of (log im) in im 4.405 * [taylor]: Taking taylor expansion of im in im 4.405 * [backup-simplify]: Simplify 0 into 0 4.405 * [backup-simplify]: Simplify 1 into 1 4.406 * [backup-simplify]: Simplify (log 1) into 0 4.406 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 4.406 * [backup-simplify]: Simplify (* 1/4 (log im)) into (* 1/4 (log im)) 4.406 * [backup-simplify]: Simplify (exp (* 1/4 (log im))) into (pow im 1/4) 4.406 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (pow im 1/4)) into (* (sqrt (sqrt 2.0)) (pow im 1/4)) 4.407 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (pow im 1/4)) into (* (sqrt (sqrt 2.0)) (pow im 1/4)) 4.407 * [backup-simplify]: Simplify (+ 0 1) into 1 4.408 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow im 1)))) 1) into (/ 1 im) 4.408 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 im)) (* 0 (log im))) into (* 1/4 (/ 1 im)) 4.408 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow (* 1/4 (/ 1 im)) 1) 1)))) into (* 1/4 (pow (/ 1 (pow im 3)) 1/4)) 4.409 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (* (* 1/4 (pow (/ 1 (pow im 3)) 1/4)) (sqrt (sqrt 2.0)))) into (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) 4.409 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) in im 4.409 * [taylor]: Taking taylor expansion of 1/4 in im 4.409 * [backup-simplify]: Simplify 1/4 into 1/4 4.409 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) in im 4.409 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.409 * [taylor]: Taking taylor expansion of 2.0 in im 4.409 * [backup-simplify]: Simplify 2.0 into 2.0 4.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.410 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.411 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 3)) 1/4) in im 4.411 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 3))))) in im 4.411 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 3)))) in im 4.411 * [taylor]: Taking taylor expansion of 1/4 in im 4.411 * [backup-simplify]: Simplify 1/4 into 1/4 4.411 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 3))) in im 4.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 4.411 * [taylor]: Taking taylor expansion of (pow im 3) in im 4.411 * [taylor]: Taking taylor expansion of im in im 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify (* 1 1) into 1 4.411 * [backup-simplify]: Simplify (* 1 1) into 1 4.412 * [backup-simplify]: Simplify (/ 1 1) into 1 4.412 * [backup-simplify]: Simplify (log 1) into 0 4.412 * [backup-simplify]: Simplify (+ (* (- 3) (log im)) 0) into (- (* 3 (log im))) 4.412 * [backup-simplify]: Simplify (* 1/4 (- (* 3 (log im)))) into (* -3/4 (log im)) 4.412 * [backup-simplify]: Simplify (exp (* -3/4 (log im))) into (pow im -3/4) 4.413 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (pow im -3/4)) into (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4)) 4.413 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) into (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) 4.414 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) into (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) 4.415 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 4.415 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 4.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log im))) into 0 4.416 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 4.416 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (pow im 1/4))) into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.417 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.418 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.419 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.419 * [backup-simplify]: Simplify (+ 1 0) into 1 4.419 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.419 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.420 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 im))) 1)) (pow im 1)))) 2) into 0 4.420 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1 im)) (* 0 (log im)))) into 0 4.421 * [backup-simplify]: Simplify (* (exp (* 1/4 (log im))) (+ (* (/ (pow (* 1/4 (/ 1 im)) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/32 (pow (/ 1 (pow im 7)) 1/4)) 4.422 * [backup-simplify]: Simplify (+ (* (pow im 1/4) 0) (+ (* (* 1/4 (pow (/ 1 (pow im 3)) 1/4)) 0) (* (* 1/32 (pow (/ 1 (pow im 7)) 1/4)) (sqrt (sqrt 2.0))))) into (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) 4.422 * [taylor]: Taking taylor expansion of (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) in im 4.422 * [taylor]: Taking taylor expansion of 1/32 in im 4.422 * [backup-simplify]: Simplify 1/32 into 1/32 4.422 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) in im 4.422 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.422 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.422 * [taylor]: Taking taylor expansion of 2.0 in im 4.422 * [backup-simplify]: Simplify 2.0 into 2.0 4.422 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.423 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.424 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 7)) 1/4) in im 4.424 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow im 7))))) in im 4.424 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow im 7)))) in im 4.424 * [taylor]: Taking taylor expansion of 1/4 in im 4.424 * [backup-simplify]: Simplify 1/4 into 1/4 4.424 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 7))) in im 4.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 7)) in im 4.424 * [taylor]: Taking taylor expansion of (pow im 7) in im 4.424 * [taylor]: Taking taylor expansion of im in im 4.424 * [backup-simplify]: Simplify 0 into 0 4.424 * [backup-simplify]: Simplify 1 into 1 4.424 * [backup-simplify]: Simplify (* 1 1) into 1 4.425 * [backup-simplify]: Simplify (* 1 1) into 1 4.425 * [backup-simplify]: Simplify (* 1 1) into 1 4.426 * [backup-simplify]: Simplify (* 1 1) into 1 4.426 * [backup-simplify]: Simplify (/ 1 1) into 1 4.426 * [backup-simplify]: Simplify (log 1) into 0 4.427 * [backup-simplify]: Simplify (+ (* (- 7) (log im)) 0) into (- (* 7 (log im))) 4.427 * [backup-simplify]: Simplify (* 1/4 (- (* 7 (log im)))) into (* -7/4 (log im)) 4.427 * [backup-simplify]: Simplify (exp (* -7/4 (log im))) into (pow im -7/4) 4.428 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (pow im -7/4)) into (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4)) 4.429 * [backup-simplify]: Simplify (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) into (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) 4.430 * [backup-simplify]: Simplify (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) into (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) 4.433 * [backup-simplify]: Simplify (+ (* (* 1/32 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 7)) 1/4))) (pow (* 1 re) 2)) (+ (* (* 1/4 (* (sqrt (sqrt 2.0)) (pow (/ 1 (pow im 3)) 1/4))) (* 1 re)) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) into (+ (* 1/4 (* (sqrt (sqrt 2.0)) (* re (pow (/ 1 (pow im 3)) 1/4)))) (+ (* 1/32 (* (sqrt (sqrt 2.0)) (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4)))) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) 4.434 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)))) (sqrt (sqrt 2.0))) into (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4)) 4.435 * [approximate]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4)) in (re im) around 0 4.435 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4)) in im 4.435 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.435 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.435 * [taylor]: Taking taylor expansion of 2.0 in im 4.435 * [backup-simplify]: Simplify 2.0 into 2.0 4.435 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.436 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.437 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) in im 4.437 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in im 4.437 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 4.437 * [taylor]: Taking taylor expansion of 1/4 in im 4.437 * [backup-simplify]: Simplify 1/4 into 1/4 4.437 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 4.437 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.437 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.437 * [taylor]: Taking taylor expansion of re in im 4.437 * [backup-simplify]: Simplify re into re 4.438 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.438 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.438 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.438 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.438 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.438 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.438 * [taylor]: Taking taylor expansion of re in im 4.438 * [backup-simplify]: Simplify re into re 4.438 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.438 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.438 * [taylor]: Taking taylor expansion of re in im 4.438 * [backup-simplify]: Simplify re into re 4.438 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.438 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.438 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.438 * [taylor]: Taking taylor expansion of im in im 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.438 * [backup-simplify]: Simplify (/ 1 1) into 1 4.438 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.438 * [taylor]: Taking taylor expansion of im in im 4.438 * [backup-simplify]: Simplify 0 into 0 4.438 * [backup-simplify]: Simplify 1 into 1 4.439 * [backup-simplify]: Simplify (/ 1 1) into 1 4.439 * [backup-simplify]: Simplify (* 1 1) into 1 4.440 * [backup-simplify]: Simplify (+ 0 1) into 1 4.440 * [backup-simplify]: Simplify (sqrt 1) into 1 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.442 * [backup-simplify]: Simplify (+ 0 0) into 0 4.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.443 * [backup-simplify]: Simplify (+ 0 1) into 1 4.444 * [backup-simplify]: Simplify (log 1) into 0 4.444 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 4.444 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 4.444 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.444 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4)) in re 4.445 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 4.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.445 * [taylor]: Taking taylor expansion of 2.0 in re 4.445 * [backup-simplify]: Simplify 2.0 into 2.0 4.445 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.446 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.447 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) in re 4.447 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 4.447 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 4.447 * [taylor]: Taking taylor expansion of 1/4 in re 4.447 * [backup-simplify]: Simplify 1/4 into 1/4 4.447 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 4.447 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.447 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.447 * [taylor]: Taking taylor expansion of re in re 4.447 * [backup-simplify]: Simplify 0 into 0 4.447 * [backup-simplify]: Simplify 1 into 1 4.448 * [backup-simplify]: Simplify (/ 1 1) into 1 4.448 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.448 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.448 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.448 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.448 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.448 * [taylor]: Taking taylor expansion of re in re 4.448 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.449 * [taylor]: Taking taylor expansion of re in re 4.449 * [backup-simplify]: Simplify 0 into 0 4.449 * [backup-simplify]: Simplify 1 into 1 4.449 * [backup-simplify]: Simplify (/ 1 1) into 1 4.449 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.449 * [taylor]: Taking taylor expansion of im in re 4.449 * [backup-simplify]: Simplify im into im 4.449 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.449 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.449 * [taylor]: Taking taylor expansion of im in re 4.449 * [backup-simplify]: Simplify im into im 4.449 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.450 * [backup-simplify]: Simplify (* 1 1) into 1 4.450 * [backup-simplify]: Simplify (+ 1 0) into 1 4.451 * [backup-simplify]: Simplify (sqrt 1) into 1 4.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.453 * [backup-simplify]: Simplify (+ 0 0) into 0 4.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.454 * [backup-simplify]: Simplify (+ 1 1) into 2 4.454 * [backup-simplify]: Simplify (log 2) into (log 2) 4.455 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 4.455 * [backup-simplify]: Simplify (* 1/4 (- (log 2) (log re))) into (* 1/4 (- (log 2) (log re))) 4.456 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 2) (log re)))) into (exp (* 1/4 (- (log 2) (log re)))) 4.456 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4)) in re 4.456 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 4.456 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.456 * [taylor]: Taking taylor expansion of 2.0 in re 4.456 * [backup-simplify]: Simplify 2.0 into 2.0 4.456 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.458 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.459 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 1/4) in re 4.459 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) in re 4.459 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 4.459 * [taylor]: Taking taylor expansion of 1/4 in re 4.459 * [backup-simplify]: Simplify 1/4 into 1/4 4.459 * [taylor]: Taking taylor expansion of (log (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 4.459 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.459 * [taylor]: Taking taylor expansion of re in re 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.459 * [backup-simplify]: Simplify (/ 1 1) into 1 4.459 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.459 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.459 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.459 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.459 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.459 * [taylor]: Taking taylor expansion of re in re 4.459 * [backup-simplify]: Simplify 0 into 0 4.459 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (/ 1 1) into 1 4.460 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.460 * [taylor]: Taking taylor expansion of re in re 4.460 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify 1 into 1 4.460 * [backup-simplify]: Simplify (/ 1 1) into 1 4.460 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.460 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.460 * [taylor]: Taking taylor expansion of im in re 4.460 * [backup-simplify]: Simplify im into im 4.460 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.460 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.460 * [taylor]: Taking taylor expansion of im in re 4.460 * [backup-simplify]: Simplify im into im 4.460 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.461 * [backup-simplify]: Simplify (* 1 1) into 1 4.461 * [backup-simplify]: Simplify (+ 1 0) into 1 4.462 * [backup-simplify]: Simplify (sqrt 1) into 1 4.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.464 * [backup-simplify]: Simplify (+ 0 0) into 0 4.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.465 * [backup-simplify]: Simplify (+ 1 1) into 2 4.465 * [backup-simplify]: Simplify (log 2) into (log 2) 4.466 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 4.467 * [backup-simplify]: Simplify (* 1/4 (- (log 2) (log re))) into (* 1/4 (- (log 2) (log re))) 4.468 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 2) (log re)))) into (exp (* 1/4 (- (log 2) (log re)))) 4.469 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) 4.469 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) in im 4.469 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.469 * [taylor]: Taking taylor expansion of 2.0 in im 4.469 * [backup-simplify]: Simplify 2.0 into 2.0 4.470 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.471 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 4.472 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 4.472 * [taylor]: Taking taylor expansion of 1/4 in im 4.472 * [backup-simplify]: Simplify 1/4 into 1/4 4.472 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 4.472 * [taylor]: Taking taylor expansion of (log 2) in im 4.472 * [taylor]: Taking taylor expansion of 2 in im 4.472 * [backup-simplify]: Simplify 2 into 2 4.473 * [backup-simplify]: Simplify (log 2) into (log 2) 4.473 * [taylor]: Taking taylor expansion of (log re) in im 4.473 * [taylor]: Taking taylor expansion of re in im 4.473 * [backup-simplify]: Simplify re into re 4.473 * [backup-simplify]: Simplify (log re) into (log re) 4.473 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 4.473 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 4.474 * [backup-simplify]: Simplify (* 1/4 (- (log 2) (log re))) into (* 1/4 (- (log 2) (log re))) 4.474 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 2) (log re)))) into (exp (* 1/4 (- (log 2) (log re)))) 4.476 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) 4.480 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) 4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify (+ 0 0) into 0 4.483 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.483 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 4.484 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log 2) (log re)))) into 0 4.485 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.487 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (exp (* 1/4 (- (log 2) (log re)))))) into 0 4.487 * [taylor]: Taking taylor expansion of 0 in im 4.487 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify 0 into 0 4.488 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.489 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.489 * [backup-simplify]: Simplify (- 0) into 0 4.490 * [backup-simplify]: Simplify (+ 0 0) into 0 4.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log 2) (log re)))) into 0 4.492 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.493 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (exp (* 1/4 (- (log 2) (log re)))))) into 0 4.493 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.497 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.498 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.499 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.499 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.501 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 1)))) 2) into (/ 1/4 (pow im 2)) 4.502 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 4.503 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into (* 1/16 (/ 1 (pow im 2))) 4.505 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/16 (/ 1 (pow im 2))) 1) 1)))) into (* 1/16 (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2))) 4.506 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.509 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) (* 1/16 (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/4 (- (log 2) (log re))))))) into (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)))) 4.510 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)))) in im 4.510 * [taylor]: Taking taylor expansion of 1/16 in im 4.510 * [backup-simplify]: Simplify 1/16 into 1/16 4.510 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2))) in im 4.510 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.510 * [taylor]: Taking taylor expansion of 2.0 in im 4.510 * [backup-simplify]: Simplify 2.0 into 2.0 4.510 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.512 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.513 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)) in im 4.513 * [taylor]: Taking taylor expansion of (exp (* 1/4 (- (log 2) (log re)))) in im 4.513 * [taylor]: Taking taylor expansion of (* 1/4 (- (log 2) (log re))) in im 4.513 * [taylor]: Taking taylor expansion of 1/4 in im 4.513 * [backup-simplify]: Simplify 1/4 into 1/4 4.513 * [taylor]: Taking taylor expansion of (- (log 2) (log re)) in im 4.513 * [taylor]: Taking taylor expansion of (log 2) in im 4.513 * [taylor]: Taking taylor expansion of 2 in im 4.513 * [backup-simplify]: Simplify 2 into 2 4.514 * [backup-simplify]: Simplify (log 2) into (log 2) 4.514 * [taylor]: Taking taylor expansion of (log re) in im 4.514 * [taylor]: Taking taylor expansion of re in im 4.514 * [backup-simplify]: Simplify re into re 4.514 * [backup-simplify]: Simplify (log re) into (log re) 4.514 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 4.514 * [backup-simplify]: Simplify (+ (log 2) (- (log re))) into (- (log 2) (log re)) 4.515 * [backup-simplify]: Simplify (* 1/4 (- (log 2) (log re))) into (* 1/4 (- (log 2) (log re))) 4.515 * [backup-simplify]: Simplify (exp (* 1/4 (- (log 2) (log re)))) into (exp (* 1/4 (- (log 2) (log re)))) 4.515 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.515 * [taylor]: Taking taylor expansion of im in im 4.515 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify 1 into 1 4.516 * [backup-simplify]: Simplify (* 1 1) into 1 4.516 * [backup-simplify]: Simplify (/ (exp (* 1/4 (- (log 2) (log re)))) 1) into (exp (* 1/4 (- (log 2) (log re)))) 4.518 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 4.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.519 * [backup-simplify]: Simplify (- 0) into 0 4.520 * [backup-simplify]: Simplify (+ 0 0) into 0 4.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (log 2) (log re)))) into 0 4.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.525 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.525 * [backup-simplify]: Simplify (- 0) into 0 4.526 * [backup-simplify]: Simplify (+ 0 0) into 0 4.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0 4.529 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.531 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/4 (- (log 2) (log re)))) (/ 0 1)))) into 0 4.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/4 (- (log 2) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.537 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.539 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (log 2) (log re))))))) into 0 4.540 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (exp (* 1/4 (- (log 2) (log re)))))) into 0 4.542 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re))))) 4.544 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log re)))))))) into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.544 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 4.546 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.547 * [backup-simplify]: Simplify (- 0) into 0 4.547 * [backup-simplify]: Simplify (+ 0 0) into 0 4.548 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log 2) (log re))))) into 0 4.549 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.549 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.550 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.551 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (log 2) (log re))))))) into 0 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.554 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.554 * [backup-simplify]: Simplify (+ 0 0) into 0 4.556 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (pow im 2)))) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 4.557 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 2)) into (- (log 2) (log re)) 4.558 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ 1/4 (pow im 2))) (+ (* 0 0) (* 0 (- (log 2) (log re)))))) into 0 4.559 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (log 2) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/16 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0 4.562 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 (* 1/16 (/ (exp (* 1/4 (- (log 2) (log re)))) (pow im 2)))) (+ (* 0 0) (* 0 (exp (* 1/4 (- (log 2) (log re)))))))) into 0 4.562 * [taylor]: Taking taylor expansion of 0 in im 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) 4.564 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))))) (sqrt (sqrt 2.0))) into (* (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) 4.564 * [approximate]: Taking taylor expansion of (* (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in (re im) around 0 4.564 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in im 4.564 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in im 4.564 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in im 4.564 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 4.564 * [taylor]: Taking taylor expansion of 1/4 in im 4.564 * [backup-simplify]: Simplify 1/4 into 1/4 4.564 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 4.564 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.564 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.564 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.564 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.564 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.564 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.564 * [taylor]: Taking taylor expansion of -1 in im 4.564 * [backup-simplify]: Simplify -1 into -1 4.564 * [taylor]: Taking taylor expansion of re in im 4.564 * [backup-simplify]: Simplify re into re 4.564 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.564 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.564 * [taylor]: Taking taylor expansion of -1 in im 4.564 * [backup-simplify]: Simplify -1 into -1 4.564 * [taylor]: Taking taylor expansion of re in im 4.564 * [backup-simplify]: Simplify re into re 4.564 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.564 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.564 * [taylor]: Taking taylor expansion of -1 in im 4.564 * [backup-simplify]: Simplify -1 into -1 4.564 * [taylor]: Taking taylor expansion of im in im 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (/ -1 1) into -1 4.565 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.565 * [taylor]: Taking taylor expansion of -1 in im 4.565 * [backup-simplify]: Simplify -1 into -1 4.565 * [taylor]: Taking taylor expansion of im in im 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (/ -1 1) into -1 4.565 * [backup-simplify]: Simplify (* -1 -1) into 1 4.566 * [backup-simplify]: Simplify (+ 0 1) into 1 4.566 * [backup-simplify]: Simplify (sqrt 1) into 1 4.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.568 * [backup-simplify]: Simplify (+ 0 0) into 0 4.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.568 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.568 * [taylor]: Taking taylor expansion of re in im 4.568 * [backup-simplify]: Simplify re into re 4.568 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.568 * [backup-simplify]: Simplify (+ 1 0) into 1 4.569 * [backup-simplify]: Simplify (log 1) into 0 4.569 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 4.569 * [backup-simplify]: Simplify (* 1/4 (- (log im))) into (* -1/4 (log im)) 4.569 * [backup-simplify]: Simplify (exp (* -1/4 (log im))) into (pow im -1/4) 4.569 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.569 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.569 * [taylor]: Taking taylor expansion of 2.0 in im 4.569 * [backup-simplify]: Simplify 2.0 into 2.0 4.569 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.570 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.571 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 4.571 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 4.571 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 4.571 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 4.571 * [taylor]: Taking taylor expansion of 1/4 in re 4.571 * [backup-simplify]: Simplify 1/4 into 1/4 4.571 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 4.571 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.571 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.571 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.571 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.571 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.571 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.571 * [taylor]: Taking taylor expansion of -1 in re 4.571 * [backup-simplify]: Simplify -1 into -1 4.571 * [taylor]: Taking taylor expansion of re in re 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 1 into 1 4.572 * [backup-simplify]: Simplify (/ -1 1) into -1 4.572 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.572 * [taylor]: Taking taylor expansion of -1 in re 4.572 * [backup-simplify]: Simplify -1 into -1 4.572 * [taylor]: Taking taylor expansion of re in re 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 1 into 1 4.572 * [backup-simplify]: Simplify (/ -1 1) into -1 4.572 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.572 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.572 * [taylor]: Taking taylor expansion of -1 in re 4.572 * [backup-simplify]: Simplify -1 into -1 4.572 * [taylor]: Taking taylor expansion of im in re 4.572 * [backup-simplify]: Simplify im into im 4.572 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.572 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.572 * [taylor]: Taking taylor expansion of -1 in re 4.572 * [backup-simplify]: Simplify -1 into -1 4.572 * [taylor]: Taking taylor expansion of im in re 4.573 * [backup-simplify]: Simplify im into im 4.573 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.573 * [backup-simplify]: Simplify (* -1 -1) into 1 4.574 * [backup-simplify]: Simplify (+ 1 0) into 1 4.574 * [backup-simplify]: Simplify (sqrt 1) into 1 4.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.576 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.577 * [backup-simplify]: Simplify (+ 0 0) into 0 4.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.578 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.578 * [taylor]: Taking taylor expansion of re in re 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (/ 1 1) into 1 4.578 * [backup-simplify]: Simplify (- 1) into -1 4.579 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.580 * [backup-simplify]: Simplify (- 0) into 0 4.580 * [backup-simplify]: Simplify (+ 0 0) into 0 4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.583 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.584 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.584 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.585 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (- 0) into 0 4.587 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.587 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 4.588 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 4.588 * [backup-simplify]: Simplify (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))) 4.588 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) 4.588 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 4.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.588 * [taylor]: Taking taylor expansion of 2.0 in re 4.588 * [backup-simplify]: Simplify 2.0 into 2.0 4.588 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.590 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.591 * [taylor]: Taking taylor expansion of (* (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) (sqrt (sqrt 2.0))) in re 4.591 * [taylor]: Taking taylor expansion of (pow (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1/4) in re 4.591 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))))) in re 4.591 * [taylor]: Taking taylor expansion of (* 1/4 (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 4.591 * [taylor]: Taking taylor expansion of 1/4 in re 4.591 * [backup-simplify]: Simplify 1/4 into 1/4 4.591 * [taylor]: Taking taylor expansion of (log (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 4.591 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.591 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.591 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.591 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.591 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.591 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.591 * [taylor]: Taking taylor expansion of -1 in re 4.591 * [backup-simplify]: Simplify -1 into -1 4.591 * [taylor]: Taking taylor expansion of re in re 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [backup-simplify]: Simplify (/ -1 1) into -1 4.592 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.592 * [taylor]: Taking taylor expansion of -1 in re 4.592 * [backup-simplify]: Simplify -1 into -1 4.592 * [taylor]: Taking taylor expansion of re in re 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (/ -1 1) into -1 4.593 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.593 * [taylor]: Taking taylor expansion of -1 in re 4.593 * [backup-simplify]: Simplify -1 into -1 4.593 * [taylor]: Taking taylor expansion of im in re 4.593 * [backup-simplify]: Simplify im into im 4.593 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.593 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.593 * [taylor]: Taking taylor expansion of -1 in re 4.593 * [backup-simplify]: Simplify -1 into -1 4.593 * [taylor]: Taking taylor expansion of im in re 4.593 * [backup-simplify]: Simplify im into im 4.593 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.593 * [backup-simplify]: Simplify (* -1 -1) into 1 4.594 * [backup-simplify]: Simplify (+ 1 0) into 1 4.594 * [backup-simplify]: Simplify (sqrt 1) into 1 4.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.597 * [backup-simplify]: Simplify (+ 0 0) into 0 4.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.598 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.598 * [taylor]: Taking taylor expansion of re in re 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (/ 1 1) into 1 4.599 * [backup-simplify]: Simplify (- 1) into -1 4.599 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.600 * [backup-simplify]: Simplify (- 0) into 0 4.601 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.604 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.604 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.605 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.608 * [backup-simplify]: Simplify (- 0) into 0 4.608 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.609 * [backup-simplify]: Simplify (log (* 1/2 (/ 1 (pow im 2)))) into (log (/ 1/2 (pow im 2))) 4.610 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 4.610 * [backup-simplify]: Simplify (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))) into (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))) 4.610 * [backup-simplify]: Simplify (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) into (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) 4.610 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in re 4.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.610 * [taylor]: Taking taylor expansion of 2.0 in re 4.610 * [backup-simplify]: Simplify 2.0 into 2.0 4.611 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.612 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.614 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (sqrt (sqrt 2.0))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))))) 4.614 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))))) in im 4.614 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.614 * [taylor]: Taking taylor expansion of 2.0 in im 4.614 * [backup-simplify]: Simplify 2.0 into 2.0 4.615 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.616 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.617 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im 4.617 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))) in im 4.617 * [taylor]: Taking taylor expansion of 1/4 in im 4.617 * [backup-simplify]: Simplify 1/4 into 1/4 4.617 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im 4.617 * [taylor]: Taking taylor expansion of (log re) in im 4.617 * [taylor]: Taking taylor expansion of re in im 4.617 * [backup-simplify]: Simplify re into re 4.617 * [backup-simplify]: Simplify (log re) into (log re) 4.617 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 4.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.617 * [taylor]: Taking taylor expansion of 1/2 in im 4.617 * [backup-simplify]: Simplify 1/2 into 1/2 4.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.617 * [taylor]: Taking taylor expansion of im in im 4.617 * [backup-simplify]: Simplify 0 into 0 4.618 * [backup-simplify]: Simplify 1 into 1 4.618 * [backup-simplify]: Simplify (* 1 1) into 1 4.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.619 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.620 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 4.620 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im))) 4.621 * [backup-simplify]: Simplify (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))) 4.621 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 4.622 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) 4.624 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) 4.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.627 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.628 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.628 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.628 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.628 * [backup-simplify]: Simplify (+ 0 0) into 0 4.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.630 * [backup-simplify]: Simplify (- 0) into 0 4.631 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 1) into 0 4.632 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 4.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))) into 0 4.634 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.635 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) 0) (* 0 (sqrt (sqrt 2.0)))) into 0 4.635 * [taylor]: Taking taylor expansion of 0 in im 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 4.639 * [backup-simplify]: Simplify (+ 0 0) into 0 4.640 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0 4.641 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.643 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.645 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.646 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.650 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.650 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.650 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 4.651 * [backup-simplify]: Simplify (+ 0 0) into 0 4.652 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.653 * [backup-simplify]: Simplify (- 0) into 0 4.654 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 4.655 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 2) into (/ -1/4 (pow im 2)) 4.655 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 4.656 * [backup-simplify]: Simplify (+ (* 1/4 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2))))))) into (- (* 1/16 (/ 1 (pow im 2)))) 4.657 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 1/16 (/ 1 (pow im 2)))) 1) 1)))) into (* -1/16 (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) 4.659 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) 0) (+ (* 0 0) (* (* -1/16 (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) (sqrt (sqrt 2.0))))) into (- (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))))) 4.659 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))))) in im 4.659 * [taylor]: Taking taylor expansion of (* 1/16 (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)))) in im 4.659 * [taylor]: Taking taylor expansion of 1/16 in im 4.659 * [backup-simplify]: Simplify 1/16 into 1/16 4.659 * [taylor]: Taking taylor expansion of (* (sqrt (sqrt 2.0)) (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) in im 4.659 * [taylor]: Taking taylor expansion of (sqrt (sqrt 2.0)) in im 4.659 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.659 * [taylor]: Taking taylor expansion of 2.0 in im 4.659 * [backup-simplify]: Simplify 2.0 into 2.0 4.660 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.661 * [backup-simplify]: Simplify (sqrt (sqrt 2.0)) into (sqrt (sqrt 2.0)) 4.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt 2.0)))) into 0 4.662 * [taylor]: Taking taylor expansion of (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2)) in im 4.662 * [taylor]: Taking taylor expansion of (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) in im 4.662 * [taylor]: Taking taylor expansion of (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2))))) in im 4.662 * [taylor]: Taking taylor expansion of 1/4 in im 4.662 * [backup-simplify]: Simplify 1/4 into 1/4 4.662 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1/2 (pow im 2)))) in im 4.662 * [taylor]: Taking taylor expansion of (log re) in im 4.662 * [taylor]: Taking taylor expansion of re in im 4.662 * [backup-simplify]: Simplify re into re 4.662 * [backup-simplify]: Simplify (log re) into (log re) 4.662 * [taylor]: Taking taylor expansion of (log (/ 1/2 (pow im 2))) in im 4.663 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.663 * [taylor]: Taking taylor expansion of 1/2 in im 4.663 * [backup-simplify]: Simplify 1/2 into 1/2 4.663 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.663 * [taylor]: Taking taylor expansion of im in im 4.663 * [backup-simplify]: Simplify 0 into 0 4.663 * [backup-simplify]: Simplify 1 into 1 4.663 * [backup-simplify]: Simplify (* 1 1) into 1 4.663 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.664 * [backup-simplify]: Simplify (log 1/2) into (log 1/2) 4.665 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1/2)) into (- (log 1/2) (* 2 (log im))) 4.665 * [backup-simplify]: Simplify (+ (log re) (- (log 1/2) (* 2 (log im)))) into (- (+ (log 1/2) (log re)) (* 2 (log im))) 4.666 * [backup-simplify]: Simplify (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))) into (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))) 4.667 * [backup-simplify]: Simplify (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 4.667 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.667 * [taylor]: Taking taylor expansion of im in im 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (* 1 1) into 1 4.668 * [backup-simplify]: Simplify (/ (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 1) into (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) 4.668 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.673 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im))))) into 0 4.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 4.680 * [backup-simplify]: Simplify (+ 0 0) into 0 4.681 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0 4.683 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.685 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0 4.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.691 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.692 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))))) into 0 4.693 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (* 0 (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))))) into 0 4.694 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) 4.695 * [backup-simplify]: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))))))) into 0 4.696 * [backup-simplify]: Simplify (- 0) into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.696 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.699 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1/2 1)))) 2) into 0 4.700 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (+ (log 1/2) (log re)) (* 2 (log im)))))) into 0 4.701 * [backup-simplify]: Simplify (* (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 4.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.703 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt 2.0)))) into 0 4.704 * [backup-simplify]: Simplify (+ (* (sqrt (sqrt 2.0)) 0) (+ (* 0 0) (* 0 (exp (* 1/4 (- (+ (log 1/2) (log re)) (* 2 (log im)))))))) into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (sqrt 2.0)))) into 0 4.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 4.708 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.708 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.708 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 im))))) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 4.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.710 * [backup-simplify]: Simplify (- 0) into 0 4.710 * [backup-simplify]: Simplify (+ 0 0) into 0 4.712 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/8 (/ 1 (pow im 4))))) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ 1 (pow im 2))) 1)))) 6) into 0 4.712 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1/2 (pow im 2)))) into (+ (log re) (log (/ 1/2 (pow im 2)))) 4.713 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 (/ -1/4 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1/2 (pow im 2)))))))) into 0 4.714 * [backup-simplify]: Simplify (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 1/16 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) 0) (+ (* 0 0) (+ (* (* -1/16 (/ (exp (* 1/4 (+ (log re) (log (/ 1/2 (pow im 2)))))) (pow im 2))) 0) (* 0 (sqrt (sqrt 2.0)))))) into 0 4.715 * [taylor]: Taking taylor expansion of 0 in im 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log 1/2) (log (/ 1 (- re)))) (* 2 (log (/ 1 (- im)))))))) into (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))))) 4.716 * * * [progress]: simplifying candidates 4.716 * * * * [progress]: [ 1 / 160 ] simplifiying candidate # 4.716 * * * * [progress]: [ 2 / 160 ] simplifiying candidate # 4.716 * * * * [progress]: [ 3 / 160 ] simplifiying candidate # 4.716 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 4.717 * * [simplify]: iters left: 4 (5 enodes) 4.718 * * [simplify]: iters left: 3 (15 enodes) 4.719 * * [simplify]: Extracting #0: cost 1 inf + 0 4.719 * * [simplify]: Extracting #1: cost 3 inf + 0 4.719 * * [simplify]: Extracting #2: cost 5 inf + 0 4.719 * * [simplify]: Extracting #3: cost 8 inf + 0 4.719 * * [simplify]: Extracting #4: cost 6 inf + 2 4.720 * * [simplify]: Extracting #5: cost 0 inf + 744 4.720 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 4.720 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re))) (sqrt (sqrt 2.0)))))) 4.720 * * * * [progress]: [ 4 / 160 ] simplifiying candidate # 4.720 * [simplify]: Simplifying (sqrt (hypot re im)) 4.720 * * [simplify]: iters left: 2 (4 enodes) 4.721 * * [simplify]: iters left: 1 (12 enodes) 4.722 * * [simplify]: Extracting #0: cost 1 inf + 0 4.722 * * [simplify]: Extracting #1: cost 3 inf + 0 4.722 * * [simplify]: Extracting #2: cost 6 inf + 0 4.722 * * [simplify]: Extracting #3: cost 4 inf + 2 4.722 * * [simplify]: Extracting #4: cost 0 inf + 310 4.722 * [simplify]: Simplified to (sqrt (hypot re im)) 4.723 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))) (sqrt (sqrt 2.0)))))) 4.723 * * * * [progress]: [ 5 / 160 ] simplifiying candidate # 4.723 * * * * [progress]: [ 6 / 160 ] simplifiying candidate # 4.723 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 4.723 * * [simplify]: iters left: 4 (6 enodes) 4.725 * * [simplify]: iters left: 3 (21 enodes) 4.731 * * [simplify]: iters left: 2 (25 enodes) 4.737 * * [simplify]: Extracting #0: cost 1 inf + 0 4.737 * * [simplify]: Extracting #1: cost 5 inf + 0 4.737 * * [simplify]: Extracting #2: cost 10 inf + 0 4.737 * * [simplify]: Extracting #3: cost 9 inf + 143 4.737 * * [simplify]: Extracting #4: cost 8 inf + 144 4.737 * * [simplify]: Extracting #5: cost 0 inf + 1180 4.737 * * [simplify]: Extracting #6: cost 0 inf + 1040 4.737 * [simplify]: Simplified to (exp (+ re (hypot re im))) 4.737 * [simplify]: Simplified (2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (log (exp (+ re (hypot re im)))))) (sqrt (sqrt 2.0)))))) 4.737 * * * * [progress]: [ 7 / 160 ] simplifiying candidate # 4.737 * * * * [progress]: [ 8 / 160 ] simplifiying candidate # 4.737 * * * * [progress]: [ 9 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 10 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 11 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 12 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 13 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 14 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 15 / 160 ] simplifiying candidate # 4.738 * * * * [progress]: [ 16 / 160 ] simplifiying candidate # 4.738 * [simplify]: Simplifying (+ (hypot re im) re) 4.738 * * [simplify]: iters left: 3 (4 enodes) 4.741 * * [simplify]: iters left: 2 (13 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 5 inf + 1 4.743 * * [simplify]: Extracting #3: cost 4 inf + 2 4.743 * * [simplify]: Extracting #4: cost 0 inf + 310 4.743 * [simplify]: Simplified to (+ re (hypot re im)) 4.743 * [simplify]: Simplified (2 2 2 1 1 1 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt 2.0)))))) 4.743 * * * * [progress]: [ 17 / 160 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))))) (sqrt (sqrt 2.0))))))> 4.743 * * * * [progress]: [ 18 / 160 ] simplifiying candidate # 4.743 * * * * [progress]: [ 19 / 160 ] simplifiying candidate # 4.743 * * * * [progress]: [ 20 / 160 ] simplifiying candidate # 4.743 * * * * [progress]: [ 21 / 160 ] simplifiying candidate # 4.743 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 4.743 * * [simplify]: iters left: 4 (5 enodes) 4.744 * * [simplify]: iters left: 3 (15 enodes) 4.746 * * [simplify]: Extracting #0: cost 1 inf + 0 4.746 * * [simplify]: Extracting #1: cost 3 inf + 0 4.746 * * [simplify]: Extracting #2: cost 5 inf + 0 4.746 * * [simplify]: Extracting #3: cost 8 inf + 0 4.746 * * [simplify]: Extracting #4: cost 6 inf + 2 4.746 * * [simplify]: Extracting #5: cost 0 inf + 744 4.747 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 4.747 * [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 (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 4.747 * * * * [progress]: [ 22 / 160 ] simplifiying candidate # 4.747 * [simplify]: Simplifying (sqrt (hypot re im)) 4.747 * * [simplify]: iters left: 2 (4 enodes) 4.748 * * [simplify]: iters left: 1 (12 enodes) 4.749 * * [simplify]: Extracting #0: cost 1 inf + 0 4.749 * * [simplify]: Extracting #1: cost 3 inf + 0 4.749 * * [simplify]: Extracting #2: cost 6 inf + 0 4.749 * * [simplify]: Extracting #3: cost 4 inf + 2 4.749 * * [simplify]: Extracting #4: cost 0 inf + 310 4.749 * [simplify]: Simplified to (sqrt (hypot re im)) 4.749 * [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 (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 4.749 * * * * [progress]: [ 23 / 160 ] simplifiying candidate # 4.749 * * * * [progress]: [ 24 / 160 ] simplifiying candidate # 4.750 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 4.750 * * [simplify]: iters left: 4 (6 enodes) 4.751 * * [simplify]: iters left: 3 (21 enodes) 4.753 * * [simplify]: iters left: 2 (25 enodes) 4.756 * * [simplify]: Extracting #0: cost 1 inf + 0 4.756 * * [simplify]: Extracting #1: cost 5 inf + 0 4.756 * * [simplify]: Extracting #2: cost 10 inf + 0 4.756 * * [simplify]: Extracting #3: cost 9 inf + 143 4.757 * * [simplify]: Extracting #4: cost 8 inf + 144 4.757 * * [simplify]: Extracting #5: cost 0 inf + 1180 4.757 * * [simplify]: Extracting #6: cost 0 inf + 1040 4.757 * [simplify]: Simplified to (exp (+ re (hypot re im))) 4.757 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (log (exp (+ re (hypot re im)))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 4.757 * * * * [progress]: [ 25 / 160 ] simplifiying candidate # 4.757 * * * * [progress]: [ 26 / 160 ] simplifiying candidate # 4.757 * * * * [progress]: [ 27 / 160 ] simplifiying candidate # 4.757 * * * * [progress]: [ 28 / 160 ] simplifiying candidate # 4.757 * * * * [progress]: [ 29 / 160 ] simplifiying candidate # 4.757 * * * * [progress]: [ 30 / 160 ] simplifiying candidate # 4.757 * * * * [progress]: [ 31 / 160 ] simplifiying candidate # 4.758 * * * * [progress]: [ 32 / 160 ] simplifiying candidate # 4.758 * * * * [progress]: [ 33 / 160 ] simplifiying candidate # 4.758 * * * * [progress]: [ 34 / 160 ] simplifiying candidate # 4.758 * [simplify]: Simplifying (+ (hypot re im) re) 4.758 * * [simplify]: iters left: 3 (4 enodes) 4.759 * * [simplify]: iters left: 2 (13 enodes) 4.760 * * [simplify]: Extracting #0: cost 1 inf + 0 4.760 * * [simplify]: Extracting #1: cost 4 inf + 0 4.760 * * [simplify]: Extracting #2: cost 5 inf + 1 4.760 * * [simplify]: Extracting #3: cost 4 inf + 2 4.761 * * [simplify]: Extracting #4: cost 0 inf + 310 4.761 * [simplify]: Simplified to (+ re (hypot re im)) 4.761 * [simplify]: Simplified (2 2 1 1 1 1 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 4.761 * * * * [progress]: [ 35 / 160 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))> 4.761 * * * * [progress]: [ 36 / 160 ] simplifiying candidate # 4.761 * * * * [progress]: [ 37 / 160 ] simplifiying candidate # 4.761 * * * * [progress]: [ 38 / 160 ] simplifiying candidate # 4.761 * * * * [progress]: [ 39 / 160 ] simplifiying candidate # 4.761 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 4.761 * * [simplify]: iters left: 6 (8 enodes) 4.764 * * [simplify]: iters left: 5 (26 enodes) 4.768 * * [simplify]: Extracting #0: cost 1 inf + 0 4.768 * * [simplify]: Extracting #1: cost 4 inf + 0 4.768 * * [simplify]: Extracting #2: cost 8 inf + 0 4.768 * * [simplify]: Extracting #3: cost 9 inf + 42 4.768 * * [simplify]: Extracting #4: cost 9 inf + 84 4.768 * * [simplify]: Extracting #5: cost 8 inf + 85 4.768 * * [simplify]: Extracting #6: cost 5 inf + 296 4.768 * * [simplify]: Extracting #7: cost 1 inf + 885 4.768 * * [simplify]: Extracting #8: cost 0 inf + 1103 4.769 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 4.769 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (+ 1/2 1/2)))) 4.769 * [simplify]: Simplifying (+ 1/2 1/2) 4.769 * * [simplify]: iters left: 2 (2 enodes) 4.770 * * [simplify]: iters left: 1 (7 enodes) 4.772 * * [simplify]: Extracting #0: cost 1 inf + 0 4.772 * * [simplify]: Extracting #1: cost 0 inf + 1 4.772 * [simplify]: Simplified to 1 4.772 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1))) 4.772 * * * * [progress]: [ 40 / 160 ] simplifiying candidate # 4.773 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 4.773 * * [simplify]: iters left: 6 (8 enodes) 4.777 * * [simplify]: iters left: 5 (26 enodes) 4.786 * * [simplify]: Extracting #0: cost 1 inf + 0 4.786 * * [simplify]: Extracting #1: cost 4 inf + 0 4.786 * * [simplify]: Extracting #2: cost 8 inf + 0 4.786 * * [simplify]: Extracting #3: cost 9 inf + 42 4.786 * * [simplify]: Extracting #4: cost 9 inf + 84 4.786 * * [simplify]: Extracting #5: cost 8 inf + 85 4.787 * * [simplify]: Extracting #6: cost 5 inf + 296 4.787 * * [simplify]: Extracting #7: cost 1 inf + 885 4.787 * * [simplify]: Extracting #8: cost 0 inf + 1103 4.788 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 4.788 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (+ 1/2 (/ 1 2))))) 4.788 * [simplify]: Simplifying (+ 1/2 (/ 1 2)) 4.788 * * [simplify]: iters left: 4 (5 enodes) 4.793 * * [simplify]: iters left: 3 (18 enodes) 4.800 * * [simplify]: iters left: 2 (20 enodes) 4.803 * * [simplify]: Extracting #0: cost 1 inf + 0 4.803 * * [simplify]: Extracting #1: cost 0 inf + 1 4.803 * [simplify]: Simplified to 1 4.803 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1))) 4.804 * * * * [progress]: [ 41 / 160 ] simplifiying candidate # 4.804 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 4.804 * * [simplify]: iters left: 6 (10 enodes) 4.806 * * [simplify]: iters left: 5 (32 enodes) 4.811 * * [simplify]: Extracting #0: cost 1 inf + 0 4.811 * * [simplify]: Extracting #1: cost 4 inf + 0 4.811 * * [simplify]: Extracting #2: cost 8 inf + 0 4.811 * * [simplify]: Extracting #3: cost 12 inf + 0 4.811 * * [simplify]: Extracting #4: cost 11 inf + 164 4.811 * * [simplify]: Extracting #5: cost 11 inf + 246 4.812 * * [simplify]: Extracting #6: cost 10 inf + 247 4.812 * * [simplify]: Extracting #7: cost 7 inf + 458 4.812 * * [simplify]: Extracting #8: cost 1 inf + 1602 4.812 * * [simplify]: Extracting #9: cost 0 inf + 1779 4.812 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 4.812 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (+ 1 1)))) 4.813 * [simplify]: Simplifying (+ 1 1) 4.813 * * [simplify]: iters left: 2 (2 enodes) 4.814 * * [simplify]: iters left: 1 (9 enodes) 4.816 * * [simplify]: Extracting #0: cost 1 inf + 0 4.816 * * [simplify]: Extracting #1: cost 0 inf + 1 4.816 * [simplify]: Simplified to 2 4.816 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 4.816 * * * * [progress]: [ 42 / 160 ] simplifiying candidate # 4.816 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 4.816 * * [simplify]: iters left: 6 (10 enodes) 4.819 * * [simplify]: iters left: 5 (32 enodes) 4.823 * * [simplify]: Extracting #0: cost 1 inf + 0 4.823 * * [simplify]: Extracting #1: cost 4 inf + 0 4.823 * * [simplify]: Extracting #2: cost 8 inf + 0 4.823 * * [simplify]: Extracting #3: cost 12 inf + 0 4.823 * * [simplify]: Extracting #4: cost 11 inf + 164 4.823 * * [simplify]: Extracting #5: cost 11 inf + 246 4.823 * * [simplify]: Extracting #6: cost 10 inf + 247 4.823 * * [simplify]: Extracting #7: cost 7 inf + 458 4.824 * * [simplify]: Extracting #8: cost 1 inf + 1602 4.824 * * [simplify]: Extracting #9: cost 0 inf + 1779 4.824 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 4.824 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (+ 1 1)))) 4.825 * [simplify]: Simplifying (+ 1 1) 4.825 * * [simplify]: iters left: 2 (2 enodes) 4.826 * * [simplify]: iters left: 1 (9 enodes) 4.828 * * [simplify]: Extracting #0: cost 1 inf + 0 4.828 * * [simplify]: Extracting #1: cost 0 inf + 1 4.828 * [simplify]: Simplified to 2 4.828 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 4.828 * * * * [progress]: [ 43 / 160 ] simplifiying candidate # 4.828 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 4.828 * * [simplify]: iters left: 5 (6 enodes) 4.830 * * [simplify]: iters left: 4 (20 enodes) 4.833 * * [simplify]: iters left: 3 (28 enodes) 4.840 * * [simplify]: iters left: 2 (40 enodes) 4.844 * * [simplify]: Extracting #0: cost 1 inf + 0 4.844 * * [simplify]: Extracting #1: cost 8 inf + 0 4.845 * * [simplify]: Extracting #2: cost 11 inf + 2 4.845 * * [simplify]: Extracting #3: cost 9 inf + 45 4.846 * * [simplify]: Extracting #4: cost 2 inf + 632 4.846 * * [simplify]: Extracting #5: cost 0 inf + 867 4.847 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 4.847 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (+ (/ 1/2 2) (/ 1/2 2))))) 4.847 * [simplify]: Simplifying (+ (/ 1/2 2) (/ 1/2 2)) 4.847 * * [simplify]: iters left: 4 (4 enodes) 4.852 * * [simplify]: iters left: 3 (13 enodes) 4.856 * * [simplify]: Extracting #0: cost 1 inf + 0 4.856 * * [simplify]: Extracting #1: cost 0 inf + 1 4.856 * [simplify]: Simplified to 1/2 4.856 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 4.857 * * * * [progress]: [ 44 / 160 ] simplifiying candidate # 4.857 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 4.857 * * [simplify]: iters left: 5 (6 enodes) 4.860 * * [simplify]: iters left: 4 (20 enodes) 4.866 * * [simplify]: iters left: 3 (28 enodes) 4.876 * * [simplify]: iters left: 2 (40 enodes) 4.885 * * [simplify]: Extracting #0: cost 1 inf + 0 4.885 * * [simplify]: Extracting #1: cost 8 inf + 0 4.886 * * [simplify]: Extracting #2: cost 11 inf + 2 4.886 * * [simplify]: Extracting #3: cost 9 inf + 45 4.886 * * [simplify]: Extracting #4: cost 2 inf + 632 4.887 * * [simplify]: Extracting #5: cost 0 inf + 867 4.887 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 4.887 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (+ (/ 1/2 2) (/ (/ 1 2) 2))))) 4.887 * [simplify]: Simplifying (+ (/ 1/2 2) (/ (/ 1 2) 2)) 4.887 * * [simplify]: iters left: 6 (7 enodes) 4.894 * * [simplify]: iters left: 5 (28 enodes) 4.905 * * [simplify]: iters left: 4 (32 enodes) 4.913 * * [simplify]: Extracting #0: cost 1 inf + 0 4.913 * * [simplify]: Extracting #1: cost 0 inf + 1 4.913 * [simplify]: Simplified to 1/2 4.913 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 4.913 * * * * [progress]: [ 45 / 160 ] simplifiying candidate # 4.913 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 4.914 * * [simplify]: iters left: 6 (8 enodes) 4.918 * * [simplify]: iters left: 5 (26 enodes) 4.926 * * [simplify]: Extracting #0: cost 1 inf + 0 4.926 * * [simplify]: Extracting #1: cost 4 inf + 0 4.926 * * [simplify]: Extracting #2: cost 8 inf + 0 4.927 * * [simplify]: Extracting #3: cost 9 inf + 42 4.927 * * [simplify]: Extracting #4: cost 9 inf + 84 4.927 * * [simplify]: Extracting #5: cost 8 inf + 85 4.927 * * [simplify]: Extracting #6: cost 5 inf + 296 4.927 * * [simplify]: Extracting #7: cost 1 inf + 885 4.928 * * [simplify]: Extracting #8: cost 0 inf + 1103 4.928 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 4.928 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (+ (/ 1 2) 1/2)))) 4.928 * [simplify]: Simplifying (+ (/ 1 2) 1/2) 4.928 * * [simplify]: iters left: 4 (5 enodes) 4.937 * * [simplify]: iters left: 3 (18 enodes) 4.942 * * [simplify]: iters left: 2 (20 enodes) 4.948 * * [simplify]: Extracting #0: cost 1 inf + 0 4.948 * * [simplify]: Extracting #1: cost 0 inf + 1 4.948 * [simplify]: Simplified to 1 4.948 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1))) 4.948 * * * * [progress]: [ 46 / 160 ] simplifiying candidate # 4.948 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 4.948 * * [simplify]: iters left: 6 (8 enodes) 4.953 * * [simplify]: iters left: 5 (26 enodes) 4.960 * * [simplify]: Extracting #0: cost 1 inf + 0 4.960 * * [simplify]: Extracting #1: cost 4 inf + 0 4.961 * * [simplify]: Extracting #2: cost 8 inf + 0 4.961 * * [simplify]: Extracting #3: cost 9 inf + 42 4.961 * * [simplify]: Extracting #4: cost 9 inf + 84 4.961 * * [simplify]: Extracting #5: cost 8 inf + 85 4.961 * * [simplify]: Extracting #6: cost 5 inf + 296 4.961 * * [simplify]: Extracting #7: cost 1 inf + 885 4.962 * * [simplify]: Extracting #8: cost 0 inf + 1103 4.962 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 4.962 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (+ (/ 1 2) (/ 1 2))))) 4.962 * [simplify]: Simplifying (+ (/ 1 2) (/ 1 2)) 4.963 * * [simplify]: iters left: 4 (4 enodes) 4.967 * * [simplify]: iters left: 3 (15 enodes) 4.972 * * [simplify]: iters left: 2 (17 enodes) 4.975 * * [simplify]: Extracting #0: cost 1 inf + 0 4.975 * * [simplify]: Extracting #1: cost 0 inf + 1 4.975 * [simplify]: Simplified to 1 4.975 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1))) 4.975 * * * * [progress]: [ 47 / 160 ] simplifiying candidate # 4.975 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 4.975 * * [simplify]: iters left: 5 (6 enodes) 4.977 * * [simplify]: iters left: 4 (20 enodes) 4.981 * * [simplify]: iters left: 3 (28 enodes) 4.986 * * [simplify]: iters left: 2 (40 enodes) 4.991 * * [simplify]: Extracting #0: cost 1 inf + 0 4.991 * * [simplify]: Extracting #1: cost 8 inf + 0 4.991 * * [simplify]: Extracting #2: cost 11 inf + 2 4.991 * * [simplify]: Extracting #3: cost 9 inf + 45 4.991 * * [simplify]: Extracting #4: cost 2 inf + 632 4.991 * * [simplify]: Extracting #5: cost 0 inf + 867 4.991 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 4.991 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (+ (/ (/ 1 2) 2) (/ 1/2 2))))) 4.992 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ 1/2 2)) 4.992 * * [simplify]: iters left: 6 (7 enodes) 5.000 * * [simplify]: iters left: 5 (28 enodes) 5.010 * * [simplify]: iters left: 4 (32 enodes) 5.017 * * [simplify]: Extracting #0: cost 1 inf + 0 5.017 * * [simplify]: Extracting #1: cost 0 inf + 1 5.017 * [simplify]: Simplified to 1/2 5.017 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 5.017 * * * * [progress]: [ 48 / 160 ] simplifiying candidate # 5.017 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 5.017 * * [simplify]: iters left: 5 (6 enodes) 5.019 * * [simplify]: iters left: 4 (20 enodes) 5.022 * * [simplify]: iters left: 3 (28 enodes) 5.027 * * [simplify]: iters left: 2 (40 enodes) 5.031 * * [simplify]: Extracting #0: cost 1 inf + 0 5.031 * * [simplify]: Extracting #1: cost 8 inf + 0 5.031 * * [simplify]: Extracting #2: cost 11 inf + 2 5.031 * * [simplify]: Extracting #3: cost 9 inf + 45 5.031 * * [simplify]: Extracting #4: cost 2 inf + 632 5.032 * * [simplify]: Extracting #5: cost 0 inf + 867 5.032 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 5.032 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))))) 5.032 * [simplify]: Simplifying (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2)) 5.032 * * [simplify]: iters left: 6 (5 enodes) 5.035 * * [simplify]: iters left: 5 (22 enodes) 5.040 * * [simplify]: iters left: 4 (26 enodes) 5.044 * * [simplify]: Extracting #0: cost 1 inf + 0 5.044 * * [simplify]: Extracting #1: cost 0 inf + 1 5.044 * [simplify]: Simplified to 1/2 5.044 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 5.044 * * * * [progress]: [ 49 / 160 ] simplifiying candidate # 5.044 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 5.044 * * [simplify]: iters left: 6 (10 enodes) 5.047 * * [simplify]: iters left: 5 (32 enodes) 5.052 * * [simplify]: Extracting #0: cost 1 inf + 0 5.052 * * [simplify]: Extracting #1: cost 4 inf + 0 5.052 * * [simplify]: Extracting #2: cost 8 inf + 0 5.052 * * [simplify]: Extracting #3: cost 12 inf + 0 5.052 * * [simplify]: Extracting #4: cost 11 inf + 164 5.052 * * [simplify]: Extracting #5: cost 11 inf + 246 5.052 * * [simplify]: Extracting #6: cost 10 inf + 247 5.052 * * [simplify]: Extracting #7: cost 7 inf + 458 5.052 * * [simplify]: Extracting #8: cost 1 inf + 1602 5.053 * * [simplify]: Extracting #9: cost 0 inf + 1779 5.053 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 5.053 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (+ 1 1)))) 5.053 * [simplify]: Simplifying (+ 1 1) 5.053 * * [simplify]: iters left: 2 (2 enodes) 5.055 * * [simplify]: iters left: 1 (9 enodes) 5.056 * * [simplify]: Extracting #0: cost 1 inf + 0 5.056 * * [simplify]: Extracting #1: cost 0 inf + 1 5.056 * [simplify]: Simplified to 2 5.056 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 5.056 * * * * [progress]: [ 50 / 160 ] simplifiying candidate # 5.057 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 5.057 * * [simplify]: iters left: 6 (10 enodes) 5.059 * * [simplify]: iters left: 5 (32 enodes) 5.064 * * [simplify]: Extracting #0: cost 1 inf + 0 5.064 * * [simplify]: Extracting #1: cost 4 inf + 0 5.064 * * [simplify]: Extracting #2: cost 8 inf + 0 5.064 * * [simplify]: Extracting #3: cost 12 inf + 0 5.064 * * [simplify]: Extracting #4: cost 11 inf + 164 5.064 * * [simplify]: Extracting #5: cost 11 inf + 246 5.064 * * [simplify]: Extracting #6: cost 10 inf + 247 5.065 * * [simplify]: Extracting #7: cost 7 inf + 458 5.065 * * [simplify]: Extracting #8: cost 1 inf + 1602 5.065 * * [simplify]: Extracting #9: cost 0 inf + 1779 5.065 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 5.065 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (+ 1 1)))) 5.066 * [simplify]: Simplifying (+ 1 1) 5.066 * * [simplify]: iters left: 2 (2 enodes) 5.067 * * [simplify]: iters left: 1 (9 enodes) 5.069 * * [simplify]: Extracting #0: cost 1 inf + 0 5.069 * * [simplify]: Extracting #1: cost 0 inf + 1 5.069 * [simplify]: Simplified to 2 5.069 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 5.069 * * * * [progress]: [ 51 / 160 ] simplifiying candidate # 5.069 * [simplify]: Simplifying (* (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) 5.070 * * [simplify]: iters left: 6 (9 enodes) 5.075 * * [simplify]: iters left: 5 (36 enodes) 5.082 * * [simplify]: iters left: 4 (47 enodes) 5.098 * * [simplify]: iters left: 3 (67 enodes) 5.113 * * [simplify]: iters left: 2 (107 enodes) 5.127 * * [simplify]: iters left: 1 (115 enodes) 5.143 * * [simplify]: Extracting #0: cost 1 inf + 0 5.143 * * [simplify]: Extracting #1: cost 15 inf + 0 5.143 * * [simplify]: Extracting #2: cost 25 inf + 2 5.143 * * [simplify]: Extracting #3: cost 21 inf + 127 5.144 * * [simplify]: Extracting #4: cost 7 inf + 1566 5.146 * * [simplify]: Extracting #5: cost 0 inf + 2811 5.148 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 5.148 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) 1/2))) 5.148 * * * * [progress]: [ 52 / 160 ] simplifiying candidate # 5.148 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) 5.148 * * [simplify]: iters left: 6 (11 enodes) 5.154 * * [simplify]: iters left: 5 (42 enodes) 5.167 * * [simplify]: iters left: 4 (53 enodes) 5.187 * * [simplify]: iters left: 3 (60 enodes) 5.204 * * [simplify]: Extracting #0: cost 1 inf + 0 5.204 * * [simplify]: Extracting #1: cost 9 inf + 0 5.204 * * [simplify]: Extracting #2: cost 18 inf + 0 5.204 * * [simplify]: Extracting #3: cost 18 inf + 83 5.205 * * [simplify]: Extracting #4: cost 17 inf + 246 5.205 * * [simplify]: Extracting #5: cost 16 inf + 247 5.205 * * [simplify]: Extracting #6: cost 12 inf + 555 5.206 * * [simplify]: Extracting #7: cost 5 inf + 1957 5.207 * * [simplify]: Extracting #8: cost 1 inf + 2989 5.208 * * [simplify]: Extracting #9: cost 0 inf + 3247 5.210 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 5.210 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1))) 5.210 * * * * [progress]: [ 53 / 160 ] simplifiying candidate # 5.210 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) 5.210 * * [simplify]: iters left: 6 (11 enodes) 5.216 * * [simplify]: iters left: 5 (42 enodes) 5.231 * * [simplify]: iters left: 4 (53 enodes) 5.248 * * [simplify]: iters left: 3 (60 enodes) 5.260 * * [simplify]: Extracting #0: cost 1 inf + 0 5.260 * * [simplify]: Extracting #1: cost 9 inf + 0 5.260 * * [simplify]: Extracting #2: cost 18 inf + 0 5.260 * * [simplify]: Extracting #3: cost 18 inf + 83 5.261 * * [simplify]: Extracting #4: cost 17 inf + 246 5.261 * * [simplify]: Extracting #5: cost 16 inf + 247 5.261 * * [simplify]: Extracting #6: cost 12 inf + 555 5.261 * * [simplify]: Extracting #7: cost 5 inf + 1957 5.262 * * [simplify]: Extracting #8: cost 1 inf + 2989 5.262 * * [simplify]: Extracting #9: cost 0 inf + 3247 5.263 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 5.263 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1))) 5.263 * * * * [progress]: [ 54 / 160 ] simplifiying candidate # 5.263 * [simplify]: Simplifying (* (* (+ (hypot re im) re) 2.0) (* (+ (hypot re im) re) 2.0)) 5.263 * * [simplify]: iters left: 6 (7 enodes) 5.266 * * [simplify]: iters left: 5 (30 enodes) 5.272 * * [simplify]: iters left: 4 (73 enodes) 5.304 * * [simplify]: iters left: 3 (266 enodes) 5.427 * * [simplify]: Extracting #0: cost 1 inf + 0 5.427 * * [simplify]: Extracting #1: cost 53 inf + 0 5.428 * * [simplify]: Extracting #2: cost 158 inf + 43 5.430 * * [simplify]: Extracting #3: cost 148 inf + 1736 5.440 * * [simplify]: Extracting #4: cost 36 inf + 21931 5.452 * * [simplify]: Extracting #5: cost 0 inf + 29449 5.463 * [simplify]: Simplified to (* (* (+ re (hypot re im)) 2.0) (* (+ re (hypot re im)) 2.0)) 5.463 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (hypot re im)) 2.0) (* (+ re (hypot re im)) 2.0)) (/ 1/2 2)))) 5.463 * [simplify]: Simplifying (/ 1/2 2) 5.463 * * [simplify]: iters left: 2 (3 enodes) 5.465 * * [simplify]: iters left: 1 (10 enodes) 5.467 * * [simplify]: Extracting #0: cost 1 inf + 0 5.467 * * [simplify]: Extracting #1: cost 0 inf + 1 5.467 * [simplify]: Simplified to 1/4 5.467 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* (+ (hypot re im) re) 2.0) (* (+ (hypot re im) re) 2.0)) 1/4))) 5.467 * * * * [progress]: [ 55 / 160 ] simplifiying candidate # 5.468 * [simplify]: Simplifying (* (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) 5.468 * * [simplify]: iters left: 6 (9 enodes) 5.470 * * [simplify]: iters left: 5 (36 enodes) 5.476 * * [simplify]: iters left: 4 (47 enodes) 5.487 * * [simplify]: iters left: 3 (67 enodes) 5.510 * * [simplify]: iters left: 2 (107 enodes) 5.539 * * [simplify]: iters left: 1 (115 enodes) 5.564 * * [simplify]: Extracting #0: cost 1 inf + 0 5.564 * * [simplify]: Extracting #1: cost 15 inf + 0 5.564 * * [simplify]: Extracting #2: cost 25 inf + 2 5.564 * * [simplify]: Extracting #3: cost 21 inf + 127 5.566 * * [simplify]: Extracting #4: cost 7 inf + 1566 5.567 * * [simplify]: Extracting #5: cost 0 inf + 2811 5.569 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 5.569 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (/ 1 2)))) 5.569 * [simplify]: Simplifying (/ 1 2) 5.569 * * [simplify]: iters left: 2 (3 enodes) 5.573 * * [simplify]: iters left: 1 (12 enodes) 5.578 * * [simplify]: Extracting #0: cost 1 inf + 0 5.578 * * [simplify]: Extracting #1: cost 0 inf + 1 5.578 * [simplify]: Simplified to 1/2 5.578 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) 1/2))) 5.578 * * * * [progress]: [ 56 / 160 ] simplifiying candidate # 5.579 * [simplify]: Simplifying (* (* (+ (hypot re im) re) 2.0) (* (+ (hypot re im) re) 2.0)) 5.579 * * [simplify]: iters left: 6 (7 enodes) 5.583 * * [simplify]: iters left: 5 (30 enodes) 5.594 * * [simplify]: iters left: 4 (73 enodes) 5.641 * * [simplify]: iters left: 3 (266 enodes) 5.855 * * [simplify]: Extracting #0: cost 1 inf + 0 5.855 * * [simplify]: Extracting #1: cost 53 inf + 0 5.856 * * [simplify]: Extracting #2: cost 158 inf + 43 5.858 * * [simplify]: Extracting #3: cost 148 inf + 1736 5.865 * * [simplify]: Extracting #4: cost 36 inf + 21931 5.872 * * [simplify]: Extracting #5: cost 0 inf + 29449 5.879 * [simplify]: Simplified to (* (* (+ re (hypot re im)) 2.0) (* (+ re (hypot re im)) 2.0)) 5.879 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (* (+ re (hypot re im)) 2.0) (* (+ re (hypot re im)) 2.0)) (/ (/ 1 2) 2)))) 5.879 * [simplify]: Simplifying (/ (/ 1 2) 2) 5.879 * * [simplify]: iters left: 4 (4 enodes) 5.882 * * [simplify]: iters left: 3 (19 enodes) 5.886 * * [simplify]: iters left: 2 (23 enodes) 5.890 * * [simplify]: Extracting #0: cost 1 inf + 0 5.890 * * [simplify]: Extracting #1: cost 0 inf + 1 5.890 * [simplify]: Simplified to 1/4 5.890 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (* (+ (hypot re im) re) 2.0) (* (+ (hypot re im) re) 2.0)) 1/4))) 5.890 * * * * [progress]: [ 57 / 160 ] simplifiying candidate # 5.891 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) 5.891 * * [simplify]: iters left: 6 (11 enodes) 5.896 * * [simplify]: iters left: 5 (42 enodes) 5.916 * * [simplify]: iters left: 4 (53 enodes) 5.933 * * [simplify]: iters left: 3 (60 enodes) 5.947 * * [simplify]: Extracting #0: cost 1 inf + 0 5.947 * * [simplify]: Extracting #1: cost 9 inf + 0 5.947 * * [simplify]: Extracting #2: cost 18 inf + 0 5.947 * * [simplify]: Extracting #3: cost 18 inf + 83 5.947 * * [simplify]: Extracting #4: cost 17 inf + 246 5.947 * * [simplify]: Extracting #5: cost 16 inf + 247 5.948 * * [simplify]: Extracting #6: cost 12 inf + 555 5.948 * * [simplify]: Extracting #7: cost 5 inf + 1957 5.948 * * [simplify]: Extracting #8: cost 1 inf + 2989 5.949 * * [simplify]: Extracting #9: cost 0 inf + 3247 5.950 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 5.950 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1))) 5.950 * * * * [progress]: [ 58 / 160 ] simplifiying candidate # 5.950 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) 5.951 * * [simplify]: iters left: 6 (11 enodes) 5.954 * * [simplify]: iters left: 5 (42 enodes) 5.961 * * [simplify]: iters left: 4 (53 enodes) 5.969 * * [simplify]: iters left: 3 (60 enodes) 5.977 * * [simplify]: Extracting #0: cost 1 inf + 0 5.977 * * [simplify]: Extracting #1: cost 9 inf + 0 5.977 * * [simplify]: Extracting #2: cost 18 inf + 0 5.977 * * [simplify]: Extracting #3: cost 18 inf + 83 5.977 * * [simplify]: Extracting #4: cost 17 inf + 246 5.977 * * [simplify]: Extracting #5: cost 16 inf + 247 5.978 * * [simplify]: Extracting #6: cost 12 inf + 555 5.978 * * [simplify]: Extracting #7: cost 5 inf + 1957 5.979 * * [simplify]: Extracting #8: cost 1 inf + 2989 5.979 * * [simplify]: Extracting #9: cost 0 inf + 3247 5.980 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 5.980 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1))) 5.980 * * * * [progress]: [ 59 / 160 ] simplifiying candidate # 5.980 * * * * [progress]: [ 60 / 160 ] simplifiying candidate # 5.980 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 5.980 * * [simplify]: iters left: 6 (10 enodes) 5.983 * * [simplify]: iters left: 5 (32 enodes) 5.988 * * [simplify]: Extracting #0: cost 1 inf + 0 5.988 * * [simplify]: Extracting #1: cost 4 inf + 0 5.988 * * [simplify]: Extracting #2: cost 8 inf + 0 5.988 * * [simplify]: Extracting #3: cost 12 inf + 0 5.988 * * [simplify]: Extracting #4: cost 11 inf + 164 5.988 * * [simplify]: Extracting #5: cost 11 inf + 246 5.988 * * [simplify]: Extracting #6: cost 10 inf + 247 5.988 * * [simplify]: Extracting #7: cost 7 inf + 458 5.989 * * [simplify]: Extracting #8: cost 1 inf + 1602 5.989 * * [simplify]: Extracting #9: cost 0 inf + 1779 5.989 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 5.989 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (+ 1 1)))) 5.989 * * * * [progress]: [ 61 / 160 ] simplifiying candidate # 5.990 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 5.990 * * [simplify]: iters left: 6 (10 enodes) 5.992 * * [simplify]: iters left: 5 (32 enodes) 5.997 * * [simplify]: Extracting #0: cost 1 inf + 0 5.997 * * [simplify]: Extracting #1: cost 4 inf + 0 5.997 * * [simplify]: Extracting #2: cost 8 inf + 0 5.997 * * [simplify]: Extracting #3: cost 12 inf + 0 5.997 * * [simplify]: Extracting #4: cost 11 inf + 164 5.997 * * [simplify]: Extracting #5: cost 11 inf + 246 5.997 * * [simplify]: Extracting #6: cost 10 inf + 247 5.997 * * [simplify]: Extracting #7: cost 7 inf + 458 5.997 * * [simplify]: Extracting #8: cost 1 inf + 1602 5.998 * * [simplify]: Extracting #9: cost 0 inf + 1779 5.998 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 5.998 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (+ 1 1)))) 5.998 * * * * [progress]: [ 62 / 160 ] simplifiying candidate # 5.998 * * * * [progress]: [ 63 / 160 ] simplifiying candidate # 5.998 * [simplify]: Simplifying (+ (+ (log (sqrt (sqrt (+ (hypot re im) re)))) (log (sqrt (sqrt 2.0)))) (+ (log (sqrt (sqrt (+ (hypot re im) re)))) (log (sqrt (sqrt 2.0))))) 5.998 * * [simplify]: iters left: 6 (13 enodes) 6.005 * * [simplify]: iters left: 5 (45 enodes) 6.016 * * [simplify]: iters left: 4 (57 enodes) 6.024 * * [simplify]: iters left: 3 (65 enodes) 6.032 * * [simplify]: iters left: 2 (66 enodes) 6.041 * * [simplify]: Extracting #0: cost 1 inf + 0 6.041 * * [simplify]: Extracting #1: cost 9 inf + 0 6.041 * * [simplify]: Extracting #2: cost 18 inf + 0 6.041 * * [simplify]: Extracting #3: cost 22 inf + 0 6.041 * * [simplify]: Extracting #4: cost 26 inf + 0 6.041 * * [simplify]: Extracting #5: cost 26 inf + 123 6.041 * * [simplify]: Extracting #6: cost 22 inf + 739 6.042 * * [simplify]: Extracting #7: cost 20 inf + 931 6.042 * * [simplify]: Extracting #8: cost 15 inf + 1456 6.043 * * [simplify]: Extracting #9: cost 3 inf + 5245 6.044 * * [simplify]: Extracting #10: cost 0 inf + 6679 6.045 * [simplify]: Simplified to (+ (+ (log (sqrt (sqrt 2.0))) (log (sqrt (sqrt (+ re (hypot re im)))))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (sqrt (+ re (hypot re im))))))) 6.045 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (+ (log (sqrt (sqrt 2.0))) (log (sqrt (sqrt (+ re (hypot re im)))))) (+ (log (sqrt (sqrt 2.0))) (log (sqrt (sqrt (+ re (hypot re im)))))))))) 6.045 * * * * [progress]: [ 64 / 160 ] simplifiying candidate # 6.045 * [simplify]: Simplifying (+ (+ (log (sqrt (sqrt (+ (hypot re im) re)))) (log (sqrt (sqrt 2.0)))) (log (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))) 6.045 * * [simplify]: iters left: 6 (15 enodes) 6.049 * * [simplify]: iters left: 5 (49 enodes) 6.060 * * [simplify]: iters left: 4 (61 enodes) 6.078 * * [simplify]: iters left: 3 (70 enodes) 6.089 * * [simplify]: iters left: 2 (74 enodes) 6.101 * * [simplify]: Extracting #0: cost 1 inf + 0 6.101 * * [simplify]: Extracting #1: cost 9 inf + 0 6.101 * * [simplify]: Extracting #2: cost 19 inf + 0 6.101 * * [simplify]: Extracting #3: cost 24 inf + 0 6.101 * * [simplify]: Extracting #4: cost 28 inf + 0 6.101 * * [simplify]: Extracting #5: cost 28 inf + 123 6.101 * * [simplify]: Extracting #6: cost 24 inf + 779 6.102 * * [simplify]: Extracting #7: cost 22 inf + 931 6.102 * * [simplify]: Extracting #8: cost 17 inf + 1456 6.103 * * [simplify]: Extracting #9: cost 6 inf + 4637 6.104 * * [simplify]: Extracting #10: cost 1 inf + 6517 6.105 * * [simplify]: Extracting #11: cost 0 inf + 6995 6.106 * [simplify]: Simplified to (+ (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))))) 6.106 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))))) 6.106 * * * * [progress]: [ 65 / 160 ] simplifiying candidate # 6.106 * [simplify]: Simplifying (+ (log (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (+ (log (sqrt (sqrt (+ (hypot re im) re)))) (log (sqrt (sqrt 2.0))))) 6.107 * * [simplify]: iters left: 6 (15 enodes) 6.112 * * [simplify]: iters left: 5 (49 enodes) 6.119 * * [simplify]: iters left: 4 (59 enodes) 6.128 * * [simplify]: iters left: 3 (69 enodes) 6.137 * * [simplify]: iters left: 2 (72 enodes) 6.156 * * [simplify]: Extracting #0: cost 1 inf + 0 6.156 * * [simplify]: Extracting #1: cost 9 inf + 0 6.156 * * [simplify]: Extracting #2: cost 19 inf + 0 6.156 * * [simplify]: Extracting #3: cost 24 inf + 0 6.156 * * [simplify]: Extracting #4: cost 28 inf + 0 6.157 * * [simplify]: Extracting #5: cost 27 inf + 274 6.157 * * [simplify]: Extracting #6: cost 23 inf + 930 6.157 * * [simplify]: Extracting #7: cost 22 inf + 931 6.158 * * [simplify]: Extracting #8: cost 16 inf + 1754 6.159 * * [simplify]: Extracting #9: cost 3 inf + 5792 6.162 * * [simplify]: Extracting #10: cost 0 inf + 6995 6.164 * [simplify]: Simplified to (+ (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))))) 6.164 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))))) 6.164 * * * * [progress]: [ 66 / 160 ] simplifiying candidate # 6.165 * [simplify]: Simplifying (+ (log (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (log (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))) 6.165 * * [simplify]: iters left: 6 (12 enodes) 6.171 * * [simplify]: iters left: 5 (41 enodes) 6.183 * * [simplify]: iters left: 4 (50 enodes) 6.197 * * [simplify]: iters left: 3 (62 enodes) 6.215 * * [simplify]: iters left: 2 (70 enodes) 6.236 * * [simplify]: iters left: 1 (71 enodes) 6.254 * * [simplify]: Extracting #0: cost 1 inf + 0 6.254 * * [simplify]: Extracting #1: cost 9 inf + 0 6.254 * * [simplify]: Extracting #2: cost 19 inf + 0 6.255 * * [simplify]: Extracting #3: cost 24 inf + 0 6.255 * * [simplify]: Extracting #4: cost 28 inf + 0 6.255 * * [simplify]: Extracting #5: cost 26 inf + 355 6.255 * * [simplify]: Extracting #6: cost 23 inf + 930 6.255 * * [simplify]: Extracting #7: cost 22 inf + 931 6.255 * * [simplify]: Extracting #8: cost 14 inf + 1988 6.256 * * [simplify]: Extracting #9: cost 5 inf + 4987 6.257 * * [simplify]: Extracting #10: cost 1 inf + 6708 6.258 * * [simplify]: Extracting #11: cost 0 inf + 6995 6.259 * [simplify]: Simplified to (+ (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))))) 6.260 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (exp (+ (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))) (log (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im)))))))))) 6.260 * * * * [progress]: [ 67 / 160 ] simplifiying candidate # 6.260 * * * * [progress]: [ 68 / 160 ] simplifiying candidate # 6.260 * * * * [progress]: [ 69 / 160 ] simplifiying candidate # 6.260 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) 6.260 * * [simplify]: iters left: 6 (15 enodes) 6.264 * * [simplify]: iters left: 5 (56 enodes) 6.275 * * [simplify]: iters left: 4 (160 enodes) 6.355 * * [simplify]: Extracting #0: cost 1 inf + 0 6.355 * * [simplify]: Extracting #1: cost 41 inf + 0 6.356 * * [simplify]: Extracting #2: cost 116 inf + 1 6.357 * * [simplify]: Extracting #3: cost 114 inf + 249 6.358 * * [simplify]: Extracting #4: cost 98 inf + 2397 6.363 * * [simplify]: Extracting #5: cost 65 inf + 11109 6.370 * * [simplify]: Extracting #6: cost 16 inf + 28147 6.380 * * [simplify]: Extracting #7: cost 0 inf + 34115 6.390 * [simplify]: Simplified to (* (+ re (hypot re im)) (* (sqrt (+ re (hypot re im))) (* (sqrt 2.0) 2.0))) 6.390 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (+ re (hypot re im)) (* (sqrt (+ re (hypot re im))) (* (sqrt 2.0) 2.0)))))) 6.390 * * * * [progress]: [ 70 / 160 ] simplifiying candidate # 6.390 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))) 6.390 * * [simplify]: iters left: 6 (18 enodes) 6.398 * * [simplify]: iters left: 5 (72 enodes) 6.429 * * [simplify]: iters left: 4 (184 enodes) 6.556 * * [simplify]: Extracting #0: cost 1 inf + 0 6.556 * * [simplify]: Extracting #1: cost 67 inf + 0 6.557 * * [simplify]: Extracting #2: cost 166 inf + 1 6.557 * * [simplify]: Extracting #3: cost 167 inf + 4 6.558 * * [simplify]: Extracting #4: cost 165 inf + 88 6.559 * * [simplify]: Extracting #5: cost 146 inf + 2672 6.561 * * [simplify]: Extracting #6: cost 105 inf + 15935 6.572 * * [simplify]: Extracting #7: cost 20 inf + 48301 6.597 * * [simplify]: Extracting #8: cost 0 inf + 55872 6.628 * * [simplify]: Extracting #9: cost 0 inf + 55592 6.661 * [simplify]: Simplified to (* (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) 6.661 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))))) 6.661 * * * * [progress]: [ 71 / 160 ] simplifiying candidate # 6.661 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) 6.662 * * [simplify]: iters left: 6 (18 enodes) 6.671 * * [simplify]: iters left: 5 (72 enodes) 6.699 * * [simplify]: iters left: 4 (190 enodes) 6.807 * * [simplify]: Extracting #0: cost 1 inf + 0 6.807 * * [simplify]: Extracting #1: cost 49 inf + 0 6.807 * * [simplify]: Extracting #2: cost 152 inf + 1 6.808 * * [simplify]: Extracting #3: cost 158 inf + 4 6.809 * * [simplify]: Extracting #4: cost 153 inf + 331 6.809 * * [simplify]: Extracting #5: cost 142 inf + 1657 6.810 * * [simplify]: Extracting #6: cost 128 inf + 5402 6.818 * * [simplify]: Extracting #7: cost 40 inf + 36190 6.833 * * [simplify]: Extracting #8: cost 1 inf + 50770 6.863 * * [simplify]: Extracting #9: cost 0 inf + 51148 6.893 * [simplify]: Simplified to (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 6.893 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) (* (sqrt (+ re (hypot re im))) (sqrt 2.0))))))) 6.893 * * * * [progress]: [ 72 / 160 ] simplifiying candidate # 6.893 * [simplify]: Simplifying (* (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))) 6.894 * * [simplify]: iters left: 6 (13 enodes) 6.901 * * [simplify]: iters left: 5 (57 enodes) 6.919 * * [simplify]: iters left: 4 (129 enodes) 6.995 * * [simplify]: iters left: 3 (396 enodes) 7.355 * * [simplify]: Extracting #0: cost 1 inf + 0 7.355 * * [simplify]: Extracting #1: cost 57 inf + 0 7.356 * * [simplify]: Extracting #2: cost 181 inf + 125 7.357 * * [simplify]: Extracting #3: cost 176 inf + 905 7.362 * * [simplify]: Extracting #4: cost 122 inf + 16661 7.387 * * [simplify]: Extracting #5: cost 7 inf + 58947 7.405 * * [simplify]: Extracting #6: cost 0 inf + 61044 7.437 * [simplify]: Simplified to (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (+ re (hypot re im)) 2.0)) 7.437 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (cbrt (* (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (+ re (hypot re im)) 2.0))))) 7.437 * * * * [progress]: [ 73 / 160 ] simplifiying candidate # 7.437 * * * * [progress]: [ 74 / 160 ] simplifiying candidate # 7.437 * * * * [progress]: [ 75 / 160 ] simplifiying candidate # 7.437 * [simplify]: Simplifying (* (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) 7.438 * * [simplify]: iters left: 6 (9 enodes) 7.440 * * [simplify]: iters left: 5 (36 enodes) 7.446 * * [simplify]: iters left: 4 (47 enodes) 7.454 * * [simplify]: iters left: 3 (67 enodes) 7.466 * * [simplify]: iters left: 2 (107 enodes) 7.495 * * [simplify]: iters left: 1 (115 enodes) 7.515 * * [simplify]: Extracting #0: cost 1 inf + 0 7.516 * * [simplify]: Extracting #1: cost 15 inf + 0 7.516 * * [simplify]: Extracting #2: cost 25 inf + 2 7.516 * * [simplify]: Extracting #3: cost 21 inf + 127 7.517 * * [simplify]: Extracting #4: cost 7 inf + 1566 7.518 * * [simplify]: Extracting #5: cost 0 inf + 2811 7.520 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 7.520 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (sqrt (* (+ re (hypot re im)) 2.0)))) 7.520 * * * * [progress]: [ 76 / 160 ] simplifiying candidate # 7.520 * * * * [progress]: [ 77 / 160 ] simplifiying candidate # 7.521 * [simplify]: Simplifying (sqrt (+ (hypot re im) re)) 7.521 * * [simplify]: iters left: 4 (5 enodes) 7.523 * * [simplify]: iters left: 3 (16 enodes) 7.527 * * [simplify]: Extracting #0: cost 1 inf + 0 7.527 * * [simplify]: Extracting #1: cost 3 inf + 0 7.527 * * [simplify]: Extracting #2: cost 6 inf + 0 7.527 * * [simplify]: Extracting #3: cost 7 inf + 1 7.527 * * [simplify]: Extracting #4: cost 0 inf + 584 7.527 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 7.527 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 7.528 * [simplify]: Simplifying (sqrt 2.0) 7.528 * * [simplify]: iters left: 1 (2 enodes) 7.530 * * [simplify]: Extracting #0: cost 1 inf + 0 7.530 * * [simplify]: Extracting #1: cost 3 inf + 0 7.530 * * [simplify]: Extracting #2: cost 2 inf + 1 7.530 * * [simplify]: Extracting #3: cost 0 inf + 83 7.530 * [simplify]: Simplified to (sqrt 2.0) 7.530 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))) 7.530 * * * * [progress]: [ 78 / 160 ] simplifiying candidate # 7.530 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0)))) 7.530 * * [simplify]: iters left: 6 (14 enodes) 7.537 * * [simplify]: iters left: 5 (64 enodes) 7.551 * * [simplify]: iters left: 4 (110 enodes) 7.571 * * [simplify]: iters left: 3 (165 enodes) 7.613 * * [simplify]: iters left: 2 (244 enodes) 7.664 * * [simplify]: iters left: 1 (441 enodes) 7.844 * * [simplify]: Extracting #0: cost 1 inf + 0 7.844 * * [simplify]: Extracting #1: cost 9 inf + 0 7.845 * * [simplify]: Extracting #2: cost 20 inf + 0 7.845 * * [simplify]: Extracting #3: cost 43 inf + 164 7.846 * * [simplify]: Extracting #4: cost 112 inf + 289 7.847 * * [simplify]: Extracting #5: cost 131 inf + 6280 7.855 * * [simplify]: Extracting #6: cost 46 inf + 50950 7.868 * * [simplify]: Extracting #7: cost 1 inf + 79095 7.881 * * [simplify]: Extracting #8: cost 0 inf + 79045 7.889 * [simplify]: Simplified to (* (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re)))) (sqrt 2.0)) 7.889 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re)))) (sqrt 2.0)) (* (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))))) 7.890 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))) 7.890 * * [simplify]: iters left: 6 (11 enodes) 7.892 * * [simplify]: iters left: 5 (41 enodes) 7.898 * * [simplify]: iters left: 4 (65 enodes) 7.909 * * [simplify]: iters left: 3 (100 enodes) 7.931 * * [simplify]: iters left: 2 (128 enodes) 7.950 * * [simplify]: iters left: 1 (154 enodes) 8.000 * * [simplify]: Extracting #0: cost 1 inf + 0 8.000 * * [simplify]: Extracting #1: cost 4 inf + 0 8.000 * * [simplify]: Extracting #2: cost 24 inf + 0 8.000 * * [simplify]: Extracting #3: cost 39 inf + 42 8.001 * * [simplify]: Extracting #4: cost 34 inf + 247 8.002 * * [simplify]: Extracting #5: cost 15 inf + 2630 8.004 * * [simplify]: Extracting #6: cost 1 inf + 4793 8.007 * * [simplify]: Extracting #7: cost 0 inf + 5065 8.010 * [simplify]: Simplified to (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im)))) 8.010 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re)))) (sqrt 2.0)) (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))))) 8.010 * * * * [progress]: [ 79 / 160 ] simplifiying candidate # 8.010 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0)))) 8.011 * * [simplify]: iters left: 6 (20 enodes) 8.022 * * [simplify]: iters left: 5 (85 enodes) 8.054 * * [simplify]: iters left: 4 (149 enodes) 8.108 * * [simplify]: iters left: 3 (230 enodes) 8.187 * * [simplify]: iters left: 2 (358 enodes) 8.280 * * [simplify]: Extracting #0: cost 1 inf + 0 8.281 * * [simplify]: Extracting #1: cost 12 inf + 0 8.281 * * [simplify]: Extracting #2: cost 25 inf + 0 8.281 * * [simplify]: Extracting #3: cost 30 inf + 1 8.281 * * [simplify]: Extracting #4: cost 74 inf + 245 8.281 * * [simplify]: Extracting #5: cost 126 inf + 247 8.282 * * [simplify]: Extracting #6: cost 114 inf + 2689 8.285 * * [simplify]: Extracting #7: cost 50 inf + 21017 8.294 * * [simplify]: Extracting #8: cost 9 inf + 36420 8.305 * * [simplify]: Extracting #9: cost 0 inf + 40700 8.316 * * [simplify]: Extracting #10: cost 0 inf + 40620 8.328 * [simplify]: Simplified to (* (* (sqrt (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt 2.0)) 8.328 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (* (sqrt (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt 2.0)) (* (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re))))))) 8.329 * [simplify]: Simplifying (* (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) (sqrt (sqrt (- (hypot re im) re)))) 8.329 * * [simplify]: iters left: 6 (14 enodes) 8.335 * * [simplify]: iters left: 5 (55 enodes) 8.343 * * [simplify]: iters left: 4 (80 enodes) 8.356 * * [simplify]: iters left: 3 (111 enodes) 8.377 * * [simplify]: iters left: 2 (135 enodes) 8.417 * * [simplify]: iters left: 1 (159 enodes) 8.443 * * [simplify]: Extracting #0: cost 1 inf + 0 8.443 * * [simplify]: Extracting #1: cost 4 inf + 0 8.443 * * [simplify]: Extracting #2: cost 8 inf + 0 8.443 * * [simplify]: Extracting #3: cost 12 inf + 0 8.443 * * [simplify]: Extracting #4: cost 31 inf + 0 8.443 * * [simplify]: Extracting #5: cost 45 inf + 42 8.443 * * [simplify]: Extracting #6: cost 41 inf + 206 8.444 * * [simplify]: Extracting #7: cost 14 inf + 3939 8.446 * * [simplify]: Extracting #8: cost 2 inf + 5988 8.447 * * [simplify]: Extracting #9: cost 0 inf + 6477 8.450 * [simplify]: Simplified to (* (sqrt (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re)))) (sqrt (sqrt (- (hypot re im) re)))) 8.450 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (* (sqrt (sqrt (fma (* re re) re (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt 2.0)) (* (sqrt (sqrt (fma (hypot re im) (- (hypot re im) re) (* re re)))) (sqrt (sqrt (- (hypot re im) re))))))) 8.451 * * * * [progress]: [ 80 / 160 ] simplifiying candidate # 8.451 * [simplify]: Simplifying (* (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0)))) 8.451 * * [simplify]: iters left: 6 (20 enodes) 8.462 * * [simplify]: iters left: 5 (85 enodes) 8.478 * * [simplify]: iters left: 4 (149 enodes) 8.523 * * [simplify]: iters left: 3 (230 enodes) 8.574 * * [simplify]: iters left: 2 (358 enodes) 8.678 * * [simplify]: Extracting #0: cost 1 inf + 0 8.678 * * [simplify]: Extracting #1: cost 12 inf + 0 8.678 * * [simplify]: Extracting #2: cost 25 inf + 0 8.678 * * [simplify]: Extracting #3: cost 29 inf + 42 8.679 * * [simplify]: Extracting #4: cost 74 inf + 245 8.679 * * [simplify]: Extracting #5: cost 126 inf + 247 8.680 * * [simplify]: Extracting #6: cost 103 inf + 4926 8.683 * * [simplify]: Extracting #7: cost 41 inf + 22885 8.687 * * [simplify]: Extracting #8: cost 8 inf + 36662 8.693 * * [simplify]: Extracting #9: cost 0 inf + 40620 8.701 * [simplify]: Simplified to (* (* (sqrt 2.0) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im))))))) 8.702 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (* (sqrt 2.0) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im))))))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))))))) 8.702 * [simplify]: Simplifying (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))) 8.702 * * [simplify]: iters left: 6 (14 enodes) 8.709 * * [simplify]: iters left: 5 (55 enodes) 8.726 * * [simplify]: iters left: 4 (80 enodes) 8.751 * * [simplify]: iters left: 3 (112 enodes) 8.783 * * [simplify]: iters left: 2 (136 enodes) 8.826 * * [simplify]: iters left: 1 (160 enodes) 8.879 * * [simplify]: Extracting #0: cost 1 inf + 0 8.879 * * [simplify]: Extracting #1: cost 4 inf + 0 8.879 * * [simplify]: Extracting #2: cost 8 inf + 0 8.879 * * [simplify]: Extracting #3: cost 12 inf + 0 8.880 * * [simplify]: Extracting #4: cost 31 inf + 0 8.880 * * [simplify]: Extracting #5: cost 45 inf + 42 8.880 * * [simplify]: Extracting #6: cost 41 inf + 166 8.882 * * [simplify]: Extracting #7: cost 15 inf + 4592 8.885 * * [simplify]: Extracting #8: cost 0 inf + 6612 8.888 * * [simplify]: Extracting #9: cost 0 inf + 6557 8.891 * [simplify]: Simplified to (* (sqrt (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))) (sqrt (sqrt (- (hypot re im) re)))) 8.891 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (* (sqrt 2.0) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re))))) (sqrt (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im))))))) (* (sqrt (sqrt (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))))) (sqrt (sqrt (- (hypot re im) re))))))) 8.892 * * * * [progress]: [ 81 / 160 ] simplifiying candidate # 8.892 * [simplify]: Simplifying (* (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0)))) 8.892 * * [simplify]: iters left: 6 (13 enodes) 8.896 * * [simplify]: iters left: 5 (53 enodes) 8.904 * * [simplify]: iters left: 4 (77 enodes) 8.916 * * [simplify]: iters left: 3 (102 enodes) 8.945 * * [simplify]: iters left: 2 (149 enodes) 8.989 * * [simplify]: iters left: 1 (254 enodes) 9.057 * * [simplify]: Extracting #0: cost 1 inf + 0 9.058 * * [simplify]: Extracting #1: cost 9 inf + 0 9.058 * * [simplify]: Extracting #2: cost 18 inf + 0 9.058 * * [simplify]: Extracting #3: cost 39 inf + 42 9.059 * * [simplify]: Extracting #4: cost 65 inf + 409 9.059 * * [simplify]: Extracting #5: cost 61 inf + 573 9.062 * * [simplify]: Extracting #6: cost 24 inf + 6307 9.069 * * [simplify]: Extracting #7: cost 2 inf + 11107 9.074 * * [simplify]: Extracting #8: cost 0 inf + 11808 9.077 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) 9.077 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re))))))) 9.078 * [simplify]: Simplifying (* (sqrt (sqrt (- (hypot re im) re))) (sqrt (sqrt (- (hypot re im) re)))) 9.078 * * [simplify]: iters left: 6 (7 enodes) 9.079 * * [simplify]: iters left: 5 (21 enodes) 9.082 * * [simplify]: iters left: 4 (25 enodes) 9.085 * * [simplify]: Extracting #0: cost 1 inf + 0 9.085 * * [simplify]: Extracting #1: cost 4 inf + 0 9.085 * * [simplify]: Extracting #2: cost 9 inf + 0 9.085 * * [simplify]: Extracting #3: cost 11 inf + 1 9.085 * * [simplify]: Extracting #4: cost 8 inf + 84 9.086 * * [simplify]: Extracting #5: cost 3 inf + 529 9.086 * * [simplify]: Extracting #6: cost 0 inf + 1020 9.086 * [simplify]: Simplified to (sqrt (- (hypot re im) re)) 9.086 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (- (hypot re im) re))))) 9.086 * * * * [progress]: [ 82 / 160 ] simplifiying candidate # 9.086 * * * * [progress]: [ 83 / 160 ] simplifiying candidate # 9.086 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) 9.086 * * [simplify]: iters left: 6 (7 enodes) 9.088 * * [simplify]: iters left: 5 (20 enodes) 9.090 * * [simplify]: iters left: 4 (21 enodes) 9.093 * * [simplify]: Extracting #0: cost 1 inf + 0 9.093 * * [simplify]: Extracting #1: cost 4 inf + 0 9.093 * * [simplify]: Extracting #2: cost 8 inf + 0 9.093 * * [simplify]: Extracting #3: cost 9 inf + 1 9.093 * * [simplify]: Extracting #4: cost 2 inf + 584 9.093 * * [simplify]: Extracting #5: cost 0 inf + 938 9.093 * [simplify]: Simplified to (sqrt (+ re (hypot re im))) 9.094 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0)))))) 9.094 * [simplify]: Simplifying (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) 9.094 * * [simplify]: iters left: 4 (4 enodes) 9.095 * * [simplify]: iters left: 3 (10 enodes) 9.098 * * [simplify]: iters left: 2 (11 enodes) 9.099 * * [simplify]: Extracting #0: cost 1 inf + 0 9.099 * * [simplify]: Extracting #1: cost 4 inf + 0 9.099 * * [simplify]: Extracting #2: cost 4 inf + 1 9.100 * * [simplify]: Extracting #3: cost 2 inf + 83 9.100 * * [simplify]: Extracting #4: cost 0 inf + 245 9.100 * [simplify]: Simplified to (sqrt 2.0) 9.100 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (sqrt (+ re (hypot re im))) (sqrt 2.0)))) 9.100 * * * * [progress]: [ 84 / 160 ] simplifiying candidate # 9.100 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 9.100 * * [simplify]: iters left: 6 (8 enodes) 9.102 * * [simplify]: iters left: 5 (26 enodes) 9.106 * * [simplify]: Extracting #0: cost 1 inf + 0 9.106 * * [simplify]: Extracting #1: cost 4 inf + 0 9.106 * * [simplify]: Extracting #2: cost 8 inf + 0 9.106 * * [simplify]: Extracting #3: cost 9 inf + 42 9.106 * * [simplify]: Extracting #4: cost 9 inf + 84 9.106 * * [simplify]: Extracting #5: cost 8 inf + 85 9.106 * * [simplify]: Extracting #6: cost 5 inf + 296 9.107 * * [simplify]: Extracting #7: cost 1 inf + 885 9.107 * * [simplify]: Extracting #8: cost 0 inf + 1103 9.107 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 9.107 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2 1/2)))) 9.107 * [simplify]: Simplifying (* 2 1/2) 9.107 * * [simplify]: iters left: 2 (3 enodes) 9.110 * * [simplify]: iters left: 1 (11 enodes) 9.114 * * [simplify]: Extracting #0: cost 1 inf + 0 9.114 * * [simplify]: Extracting #1: cost 0 inf + 1 9.114 * [simplify]: Simplified to 1 9.114 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1))) 9.114 * * * * [progress]: [ 85 / 160 ] simplifiying candidate # 9.114 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 9.114 * * [simplify]: iters left: 6 (10 enodes) 9.120 * * [simplify]: iters left: 5 (32 enodes) 9.130 * * [simplify]: Extracting #0: cost 1 inf + 0 9.130 * * [simplify]: Extracting #1: cost 4 inf + 0 9.130 * * [simplify]: Extracting #2: cost 8 inf + 0 9.130 * * [simplify]: Extracting #3: cost 12 inf + 0 9.130 * * [simplify]: Extracting #4: cost 11 inf + 164 9.130 * * [simplify]: Extracting #5: cost 11 inf + 246 9.130 * * [simplify]: Extracting #6: cost 10 inf + 247 9.130 * * [simplify]: Extracting #7: cost 7 inf + 458 9.131 * * [simplify]: Extracting #8: cost 1 inf + 1602 9.131 * * [simplify]: Extracting #9: cost 0 inf + 1779 9.132 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 9.132 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* 2 1)))) 9.132 * [simplify]: Simplifying (* 2 1) 9.132 * * [simplify]: iters left: 2 (3 enodes) 9.135 * * [simplify]: iters left: 1 (9 enodes) 9.141 * * [simplify]: Extracting #0: cost 1 inf + 0 9.141 * * [simplify]: Extracting #1: cost 0 inf + 1 9.141 * [simplify]: Simplified to 2 9.141 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 9.141 * * * * [progress]: [ 86 / 160 ] simplifiying candidate # 9.142 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 9.142 * * [simplify]: iters left: 6 (10 enodes) 9.147 * * [simplify]: iters left: 5 (32 enodes) 9.156 * * [simplify]: Extracting #0: cost 1 inf + 0 9.156 * * [simplify]: Extracting #1: cost 4 inf + 0 9.156 * * [simplify]: Extracting #2: cost 8 inf + 0 9.156 * * [simplify]: Extracting #3: cost 12 inf + 0 9.157 * * [simplify]: Extracting #4: cost 11 inf + 164 9.157 * * [simplify]: Extracting #5: cost 11 inf + 246 9.157 * * [simplify]: Extracting #6: cost 10 inf + 247 9.157 * * [simplify]: Extracting #7: cost 7 inf + 458 9.157 * * [simplify]: Extracting #8: cost 1 inf + 1602 9.158 * * [simplify]: Extracting #9: cost 0 inf + 1779 9.158 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 9.159 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* 2 1)))) 9.159 * [simplify]: Simplifying (* 2 1) 9.159 * * [simplify]: iters left: 2 (3 enodes) 9.162 * * [simplify]: iters left: 1 (9 enodes) 9.165 * * [simplify]: Extracting #0: cost 1 inf + 0 9.165 * * [simplify]: Extracting #1: cost 0 inf + 1 9.165 * [simplify]: Simplified to 2 9.165 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 9.165 * * * * [progress]: [ 87 / 160 ] simplifiying candidate # 9.165 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 9.166 * * [simplify]: iters left: 5 (6 enodes) 9.169 * * [simplify]: iters left: 4 (20 enodes) 9.175 * * [simplify]: iters left: 3 (28 enodes) 9.184 * * [simplify]: iters left: 2 (40 enodes) 9.193 * * [simplify]: Extracting #0: cost 1 inf + 0 9.193 * * [simplify]: Extracting #1: cost 8 inf + 0 9.193 * * [simplify]: Extracting #2: cost 11 inf + 2 9.193 * * [simplify]: Extracting #3: cost 9 inf + 45 9.194 * * [simplify]: Extracting #4: cost 2 inf + 632 9.194 * * [simplify]: Extracting #5: cost 0 inf + 867 9.195 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 9.195 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (* 2 (/ 1/2 2))))) 9.195 * [simplify]: Simplifying (* 2 (/ 1/2 2)) 9.195 * * [simplify]: iters left: 4 (4 enodes) 9.199 * * [simplify]: iters left: 3 (17 enodes) 9.201 * * [simplify]: iters left: 2 (21 enodes) 9.205 * * [simplify]: iters left: 1 (23 enodes) 9.208 * * [simplify]: Extracting #0: cost 1 inf + 0 9.208 * * [simplify]: Extracting #1: cost 0 inf + 1 9.208 * [simplify]: Simplified to 1/2 9.208 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 9.208 * * * * [progress]: [ 88 / 160 ] simplifiying candidate # 9.208 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 9.208 * * [simplify]: iters left: 6 (8 enodes) 9.210 * * [simplify]: iters left: 5 (26 enodes) 9.214 * * [simplify]: Extracting #0: cost 1 inf + 0 9.214 * * [simplify]: Extracting #1: cost 4 inf + 0 9.215 * * [simplify]: Extracting #2: cost 8 inf + 0 9.215 * * [simplify]: Extracting #3: cost 9 inf + 42 9.215 * * [simplify]: Extracting #4: cost 9 inf + 84 9.215 * * [simplify]: Extracting #5: cost 8 inf + 85 9.215 * * [simplify]: Extracting #6: cost 5 inf + 296 9.215 * * [simplify]: Extracting #7: cost 1 inf + 885 9.215 * * [simplify]: Extracting #8: cost 0 inf + 1103 9.215 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 9.215 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2 (/ 1 2))))) 9.216 * [simplify]: Simplifying (* 2 (/ 1 2)) 9.216 * * [simplify]: iters left: 4 (4 enodes) 9.218 * * [simplify]: iters left: 3 (13 enodes) 9.220 * * [simplify]: iters left: 2 (15 enodes) 9.225 * * [simplify]: Extracting #0: cost 1 inf + 0 9.225 * * [simplify]: Extracting #1: cost 0 inf + 1 9.225 * [simplify]: Simplified to 1 9.225 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1))) 9.225 * * * * [progress]: [ 89 / 160 ] simplifiying candidate # 9.226 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 9.226 * * [simplify]: iters left: 5 (6 enodes) 9.229 * * [simplify]: iters left: 4 (20 enodes) 9.235 * * [simplify]: iters left: 3 (28 enodes) 9.245 * * [simplify]: iters left: 2 (40 enodes) 9.254 * * [simplify]: Extracting #0: cost 1 inf + 0 9.254 * * [simplify]: Extracting #1: cost 8 inf + 0 9.254 * * [simplify]: Extracting #2: cost 11 inf + 2 9.254 * * [simplify]: Extracting #3: cost 9 inf + 45 9.255 * * [simplify]: Extracting #4: cost 2 inf + 632 9.255 * * [simplify]: Extracting #5: cost 0 inf + 867 9.256 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 9.256 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (+ re (hypot re im)) 2.0) (* 2 (/ (/ 1 2) 2))))) 9.256 * [simplify]: Simplifying (* 2 (/ (/ 1 2) 2)) 9.256 * * [simplify]: iters left: 6 (5 enodes) 9.262 * * [simplify]: iters left: 5 (25 enodes) 9.272 * * [simplify]: iters left: 4 (29 enodes) 9.279 * * [simplify]: Extracting #0: cost 1 inf + 0 9.279 * * [simplify]: Extracting #1: cost 0 inf + 1 9.280 * [simplify]: Simplified to 1/2 9.280 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (+ (hypot re im) re) 2.0) 1/2))) 9.280 * * * * [progress]: [ 90 / 160 ] simplifiying candidate # 9.280 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 9.280 * * [simplify]: iters left: 6 (10 enodes) 9.285 * * [simplify]: iters left: 5 (32 enodes) 9.289 * * [simplify]: Extracting #0: cost 1 inf + 0 9.289 * * [simplify]: Extracting #1: cost 4 inf + 0 9.289 * * [simplify]: Extracting #2: cost 8 inf + 0 9.289 * * [simplify]: Extracting #3: cost 12 inf + 0 9.289 * * [simplify]: Extracting #4: cost 11 inf + 164 9.289 * * [simplify]: Extracting #5: cost 11 inf + 246 9.290 * * [simplify]: Extracting #6: cost 10 inf + 247 9.290 * * [simplify]: Extracting #7: cost 7 inf + 458 9.290 * * [simplify]: Extracting #8: cost 1 inf + 1602 9.290 * * [simplify]: Extracting #9: cost 0 inf + 1779 9.290 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 9.290 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* 2 1)))) 9.291 * [simplify]: Simplifying (* 2 1) 9.291 * * [simplify]: iters left: 2 (3 enodes) 9.292 * * [simplify]: iters left: 1 (9 enodes) 9.294 * * [simplify]: Extracting #0: cost 1 inf + 0 9.294 * * [simplify]: Extracting #1: cost 0 inf + 1 9.294 * [simplify]: Simplified to 2 9.294 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 9.294 * * * * [progress]: [ 91 / 160 ] simplifiying candidate # 9.294 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 9.294 * * [simplify]: iters left: 6 (10 enodes) 9.296 * * [simplify]: iters left: 5 (32 enodes) 9.301 * * [simplify]: Extracting #0: cost 1 inf + 0 9.301 * * [simplify]: Extracting #1: cost 4 inf + 0 9.301 * * [simplify]: Extracting #2: cost 8 inf + 0 9.301 * * [simplify]: Extracting #3: cost 12 inf + 0 9.302 * * [simplify]: Extracting #4: cost 11 inf + 164 9.302 * * [simplify]: Extracting #5: cost 11 inf + 246 9.302 * * [simplify]: Extracting #6: cost 10 inf + 247 9.302 * * [simplify]: Extracting #7: cost 7 inf + 458 9.302 * * [simplify]: Extracting #8: cost 1 inf + 1602 9.302 * * [simplify]: Extracting #9: cost 0 inf + 1779 9.303 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 9.303 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* 2 1)))) 9.303 * [simplify]: Simplifying (* 2 1) 9.303 * * [simplify]: iters left: 2 (3 enodes) 9.304 * * [simplify]: iters left: 1 (9 enodes) 9.306 * * [simplify]: Extracting #0: cost 1 inf + 0 9.306 * * [simplify]: Extracting #1: cost 0 inf + 1 9.306 * [simplify]: Simplified to 2 9.306 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (pow (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 2))) 9.306 * * * * [progress]: [ 92 / 160 ] simplifiying candidate # 9.306 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 9.306 * * [simplify]: iters left: 2 (3 enodes) 9.308 * * [simplify]: iters left: 1 (9 enodes) 9.309 * * [simplify]: Extracting #0: cost 1 inf + 0 9.309 * * [simplify]: Extracting #1: cost 3 inf + 0 9.309 * * [simplify]: Extracting #2: cost 5 inf + 0 9.309 * * [simplify]: Extracting #3: cost 4 inf + 1 9.309 * * [simplify]: Extracting #4: cost 0 inf + 245 9.309 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 9.309 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))) 9.310 * * * * [progress]: [ 93 / 160 ] simplifiying candidate # 9.310 * [simplify]: Simplifying (sqrt (sqrt (+ (hypot re im) re))) 9.310 * * [simplify]: iters left: 5 (6 enodes) 9.311 * * [simplify]: iters left: 4 (19 enodes) 9.313 * * [simplify]: Extracting #0: cost 1 inf + 0 9.313 * * [simplify]: Extracting #1: cost 3 inf + 0 9.313 * * [simplify]: Extracting #2: cost 5 inf + 0 9.313 * * [simplify]: Extracting #3: cost 8 inf + 0 9.313 * * [simplify]: Extracting #4: cost 9 inf + 1 9.313 * * [simplify]: Extracting #5: cost 0 inf + 938 9.314 * [simplify]: Simplified to (sqrt (sqrt (+ re (hypot re im)))) 9.314 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (* (sqrt (sqrt (+ re (hypot re im)))) (* (sqrt (sqrt 2.0)) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))) 9.314 * * * * [progress]: [ 94 / 160 ] simplifiying candidate # 9.314 * [simplify]: Simplifying (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))))) 9.314 * * [simplify]: iters left: 6 (10 enodes) 9.317 * * [simplify]: iters left: 5 (40 enodes) 9.330 * * [simplify]: iters left: 4 (63 enodes) 9.347 * * [simplify]: iters left: 3 (97 enodes) 9.361 * * [simplify]: iters left: 2 (125 enodes) 9.387 * * [simplify]: iters left: 1 (151 enodes) 9.435 * * [simplify]: Extracting #0: cost 1 inf + 0 9.435 * * [simplify]: Extracting #1: cost 3 inf + 0 9.436 * * [simplify]: Extracting #2: cost 5 inf + 0 9.436 * * [simplify]: Extracting #3: cost 24 inf + 0 9.436 * * [simplify]: Extracting #4: cost 38 inf + 83 9.436 * * [simplify]: Extracting #5: cost 34 inf + 247 9.438 * * [simplify]: Extracting #6: cost 13 inf + 3709 9.440 * * [simplify]: Extracting #7: cost 0 inf + 5175 9.443 * * [simplify]: Extracting #8: cost 0 inf + 5065 9.446 * [simplify]: Simplified to (sqrt (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re)))) 9.446 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0)))) (sqrt (sqrt (fma (- (hypot re im) re) (hypot re im) (* re re))))))) 9.446 * * * * [progress]: [ 95 / 160 ] simplifiying candidate # 9.446 * [simplify]: Simplifying (sqrt (sqrt (- (hypot re im) re))) 9.446 * * [simplify]: iters left: 5 (6 enodes) 9.449 * * [simplify]: iters left: 4 (20 enodes) 9.454 * * [simplify]: iters left: 3 (23 enodes) 9.461 * * [simplify]: Extracting #0: cost 1 inf + 0 9.461 * * [simplify]: Extracting #1: cost 3 inf + 0 9.461 * * [simplify]: Extracting #2: cost 5 inf + 0 9.461 * * [simplify]: Extracting #3: cost 9 inf + 0 9.461 * * [simplify]: Extracting #4: cost 10 inf + 42 9.461 * * [simplify]: Extracting #5: cost 8 inf + 84 9.462 * * [simplify]: Extracting #6: cost 0 inf + 1020 9.462 * [simplify]: Simplified to (sqrt (sqrt (- (hypot re im) re))) 9.462 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (/ (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0)))) (sqrt (sqrt (- (hypot re im) re)))))) 9.462 * * * * [progress]: [ 96 / 160 ] simplifiying candidate # 9.463 * [simplify]: Simplifying (* (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) 9.463 * * [simplify]: iters left: 6 (18 enodes) 9.473 * * [simplify]: iters left: 5 (76 enodes) 9.505 * * [simplify]: iters left: 4 (131 enodes) 9.547 * * [simplify]: iters left: 3 (193 enodes) 9.594 * * [simplify]: iters left: 2 (274 enodes) 9.683 * * [simplify]: iters left: 1 (476 enodes) 9.837 * * [simplify]: Extracting #0: cost 1 inf + 0 9.837 * * [simplify]: Extracting #1: cost 12 inf + 0 9.837 * * [simplify]: Extracting #2: cost 25 inf + 0 9.837 * * [simplify]: Extracting #3: cost 30 inf + 1 9.837 * * [simplify]: Extracting #4: cost 53 inf + 245 9.838 * * [simplify]: Extracting #5: cost 115 inf + 248 9.839 * * [simplify]: Extracting #6: cost 146 inf + 2812 9.841 * * [simplify]: Extracting #7: cost 88 inf + 27207 9.848 * * [simplify]: Extracting #8: cost 15 inf + 70863 9.855 * * [simplify]: Extracting #9: cost 0 inf + 77568 9.862 * [simplify]: Simplified to (* (* (sqrt (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 9.862 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (* (sqrt (sqrt (fma re (* re re) (* (hypot re im) (* (hypot re im) (hypot re im)))))) (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (sqrt (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))))))) 9.863 * * * * [progress]: [ 97 / 160 ] simplifiying candidate # 9.863 * [simplify]: Simplifying (* (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))) 9.863 * * [simplify]: iters left: 6 (17 enodes) 9.870 * * [simplify]: iters left: 5 (64 enodes) 9.891 * * [simplify]: iters left: 4 (94 enodes) 9.924 * * [simplify]: iters left: 3 (125 enodes) 9.943 * * [simplify]: iters left: 2 (174 enodes) 9.988 * * [simplify]: iters left: 1 (279 enodes) 10.064 * * [simplify]: Extracting #0: cost 1 inf + 0 10.064 * * [simplify]: Extracting #1: cost 12 inf + 0 10.065 * * [simplify]: Extracting #2: cost 25 inf + 0 10.065 * * [simplify]: Extracting #3: cost 27 inf + 42 10.065 * * [simplify]: Extracting #4: cost 48 inf + 245 10.066 * * [simplify]: Extracting #5: cost 79 inf + 246 10.067 * * [simplify]: Extracting #6: cost 73 inf + 492 10.069 * * [simplify]: Extracting #7: cost 33 inf + 7093 10.077 * * [simplify]: Extracting #8: cost 2 inf + 14643 10.086 * * [simplify]: Extracting #9: cost 0 inf + 15439 10.096 * [simplify]: Simplified to (* (sqrt 2.0) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))))) 10.097 * [simplify]: Simplified (2 2 1) to (λ (re im) (* 0.5 (/ (* (sqrt 2.0) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))))) (sqrt (sqrt (- (hypot re im) re)))))) 10.097 * * * * [progress]: [ 98 / 160 ] simplifiying candidate #real (real->posit16 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))))> 10.097 * * * * [progress]: [ 99 / 160 ] simplifiying candidate # 10.097 * * * * [progress]: [ 100 / 160 ] simplifiying candidate # 10.097 * * * * [progress]: [ 101 / 160 ] simplifiying candidate # 10.097 * * * * [progress]: [ 102 / 160 ] simplifiying candidate # 10.097 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 10.098 * * [simplify]: iters left: 6 (8 enodes) 10.102 * * [simplify]: iters left: 5 (26 enodes) 10.109 * * [simplify]: Extracting #0: cost 1 inf + 0 10.109 * * [simplify]: Extracting #1: cost 4 inf + 0 10.109 * * [simplify]: Extracting #2: cost 8 inf + 0 10.109 * * [simplify]: Extracting #3: cost 9 inf + 42 10.109 * * [simplify]: Extracting #4: cost 9 inf + 84 10.109 * * [simplify]: Extracting #5: cost 8 inf + 85 10.110 * * [simplify]: Extracting #6: cost 5 inf + 296 10.110 * * [simplify]: Extracting #7: cost 1 inf + 885 10.110 * * [simplify]: Extracting #8: cost 0 inf + 1103 10.111 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 10.111 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 1/2)))) 10.111 * * * * [progress]: [ 103 / 160 ] simplifiying candidate # 10.111 * [simplify]: Simplifying (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) 10.111 * * [simplify]: iters left: 6 (10 enodes) 10.116 * * [simplify]: iters left: 5 (32 enodes) 10.125 * * [simplify]: Extracting #0: cost 1 inf + 0 10.125 * * [simplify]: Extracting #1: cost 4 inf + 0 10.125 * * [simplify]: Extracting #2: cost 8 inf + 0 10.125 * * [simplify]: Extracting #3: cost 12 inf + 0 10.125 * * [simplify]: Extracting #4: cost 11 inf + 164 10.125 * * [simplify]: Extracting #5: cost 11 inf + 246 10.125 * * [simplify]: Extracting #6: cost 10 inf + 247 10.125 * * [simplify]: Extracting #7: cost 7 inf + 458 10.125 * * [simplify]: Extracting #8: cost 1 inf + 1602 10.126 * * [simplify]: Extracting #9: cost 0 inf + 1779 10.126 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 10.126 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) 1)))) 10.126 * * * * [progress]: [ 104 / 160 ] simplifiying candidate # 10.126 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 10.126 * * [simplify]: iters left: 5 (6 enodes) 10.128 * * [simplify]: iters left: 4 (20 enodes) 10.131 * * [simplify]: iters left: 3 (28 enodes) 10.136 * * [simplify]: iters left: 2 (40 enodes) 10.140 * * [simplify]: Extracting #0: cost 1 inf + 0 10.140 * * [simplify]: Extracting #1: cost 8 inf + 0 10.140 * * [simplify]: Extracting #2: cost 11 inf + 2 10.140 * * [simplify]: Extracting #3: cost 9 inf + 45 10.140 * * [simplify]: Extracting #4: cost 2 inf + 632 10.141 * * [simplify]: Extracting #5: cost 0 inf + 867 10.141 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 10.141 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (+ re (hypot re im)) 2.0) (/ 1/2 2))))) 10.141 * [simplify]: Simplifying (/ 1/2 2) 10.141 * * [simplify]: iters left: 2 (3 enodes) 10.143 * * [simplify]: iters left: 1 (10 enodes) 10.145 * * [simplify]: Extracting #0: cost 1 inf + 0 10.145 * * [simplify]: Extracting #1: cost 0 inf + 1 10.145 * [simplify]: Simplified to 1/4 10.145 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (+ (hypot re im) re) 2.0) 1/4)))) 10.145 * * * * [progress]: [ 105 / 160 ] simplifiying candidate # 10.145 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 10.145 * * [simplify]: iters left: 6 (8 enodes) 10.147 * * [simplify]: iters left: 5 (26 enodes) 10.151 * * [simplify]: Extracting #0: cost 1 inf + 0 10.151 * * [simplify]: Extracting #1: cost 4 inf + 0 10.151 * * [simplify]: Extracting #2: cost 8 inf + 0 10.151 * * [simplify]: Extracting #3: cost 9 inf + 42 10.151 * * [simplify]: Extracting #4: cost 9 inf + 84 10.151 * * [simplify]: Extracting #5: cost 8 inf + 85 10.152 * * [simplify]: Extracting #6: cost 5 inf + 296 10.152 * * [simplify]: Extracting #7: cost 1 inf + 885 10.152 * * [simplify]: Extracting #8: cost 0 inf + 1103 10.153 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 10.153 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (/ 1 2))))) 10.153 * [simplify]: Simplifying (/ 1 2) 10.153 * * [simplify]: iters left: 2 (3 enodes) 10.156 * * [simplify]: iters left: 1 (12 enodes) 10.161 * * [simplify]: Extracting #0: cost 1 inf + 0 10.161 * * [simplify]: Extracting #1: cost 0 inf + 1 10.161 * [simplify]: Simplified to 1/2 10.161 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 1/2)))) 10.161 * * * * [progress]: [ 106 / 160 ] simplifiying candidate # 10.161 * [simplify]: Simplifying (* (+ (hypot re im) re) 2.0) 10.161 * * [simplify]: iters left: 5 (6 enodes) 10.165 * * [simplify]: iters left: 4 (20 enodes) 10.171 * * [simplify]: iters left: 3 (28 enodes) 10.176 * * [simplify]: iters left: 2 (40 enodes) 10.180 * * [simplify]: Extracting #0: cost 1 inf + 0 10.180 * * [simplify]: Extracting #1: cost 8 inf + 0 10.180 * * [simplify]: Extracting #2: cost 11 inf + 2 10.180 * * [simplify]: Extracting #3: cost 9 inf + 45 10.181 * * [simplify]: Extracting #4: cost 2 inf + 632 10.181 * * [simplify]: Extracting #5: cost 0 inf + 867 10.181 * [simplify]: Simplified to (* (+ re (hypot re im)) 2.0) 10.181 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (+ re (hypot re im)) 2.0) (/ (/ 1 2) 2))))) 10.181 * [simplify]: Simplifying (/ (/ 1 2) 2) 10.181 * * [simplify]: iters left: 4 (4 enodes) 10.184 * * [simplify]: iters left: 3 (19 enodes) 10.187 * * [simplify]: iters left: 2 (23 enodes) 10.191 * * [simplify]: Extracting #0: cost 1 inf + 0 10.191 * * [simplify]: Extracting #1: cost 0 inf + 1 10.191 * [simplify]: Simplified to 1/4 10.191 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (pow (* (+ (hypot re im) re) 2.0) 1/4)))) 10.191 * * * * [progress]: [ 107 / 160 ] simplifiying candidate # 10.191 * * * * [progress]: [ 108 / 160 ] simplifiying candidate # 10.191 * [simplify]: Simplifying (+ (log (sqrt (sqrt (+ (hypot re im) re)))) (log (sqrt (sqrt 2.0)))) 10.191 * * [simplify]: iters left: 6 (12 enodes) 10.194 * * [simplify]: iters left: 5 (38 enodes) 10.202 * * [simplify]: Extracting #0: cost 1 inf + 0 10.203 * * [simplify]: Extracting #1: cost 4 inf + 0 10.203 * * [simplify]: Extracting #2: cost 8 inf + 0 10.203 * * [simplify]: Extracting #3: cost 12 inf + 0 10.203 * * [simplify]: Extracting #4: cost 16 inf + 0 10.203 * * [simplify]: Extracting #5: cost 18 inf + 1 10.203 * * [simplify]: Extracting #6: cost 15 inf + 246 10.203 * * [simplify]: Extracting #7: cost 12 inf + 549 10.203 * * [simplify]: Extracting #8: cost 9 inf + 760 10.204 * * [simplify]: Extracting #9: cost 5 inf + 1308 10.204 * * [simplify]: Extracting #10: cost 0 inf + 2855 10.205 * [simplify]: Simplified to (+ (log (sqrt (sqrt 2.0))) (log (sqrt (sqrt (+ re (hypot re im)))))) 10.205 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (exp (+ (log (sqrt (sqrt 2.0))) (log (sqrt (sqrt (+ re (hypot re im)))))))))) 10.206 * * * * [progress]: [ 109 / 160 ] simplifiying candidate # 10.206 * * * * [progress]: [ 110 / 160 ] simplifiying candidate # 10.206 * * * * [progress]: [ 111 / 160 ] simplifiying candidate # 10.206 * [simplify]: Simplifying (* (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (+ (hypot re im) re)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) 10.206 * * [simplify]: iters left: 6 (14 enodes) 10.213 * * [simplify]: iters left: 5 (46 enodes) 10.229 * * [simplify]: iters left: 4 (77 enodes) 10.244 * * [simplify]: iters left: 3 (131 enodes) 10.282 * * [simplify]: iters left: 2 (239 enodes) 10.377 * * [simplify]: iters left: 1 (439 enodes) 10.558 * * [simplify]: Extracting #0: cost 1 inf + 0 10.558 * * [simplify]: Extracting #1: cost 51 inf + 0 10.559 * * [simplify]: Extracting #2: cost 163 inf + 1 10.560 * * [simplify]: Extracting #3: cost 163 inf + 5 10.562 * * [simplify]: Extracting #4: cost 161 inf + 89 10.563 * * [simplify]: Extracting #5: cost 146 inf + 2616 10.568 * * [simplify]: Extracting #6: cost 119 inf + 13824 10.583 * * [simplify]: Extracting #7: cost 39 inf + 64589 10.610 * * [simplify]: Extracting #8: cost 1 inf + 90615 10.638 * * [simplify]: Extracting #9: cost 0 inf + 91335 10.667 * [simplify]: Simplified to (* (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))) 10.667 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (cbrt (* (* (sqrt (sqrt 2.0)) (sqrt 2.0)) (* (sqrt (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))))))))) 10.667 * * * * [progress]: [ 112 / 160 ] simplifiying candidate # 10.667 * * * * [progress]: [ 113 / 160 ] simplifiying candidate # 10.667 * * * * [progress]: [ 114 / 160 ] simplifiying candidate # 10.668 * [simplify]: Simplifying (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 10.668 * * [simplify]: iters left: 6 (8 enodes) 10.672 * * [simplify]: iters left: 5 (26 enodes) 10.681 * * [simplify]: Extracting #0: cost 1 inf + 0 10.681 * * [simplify]: Extracting #1: cost 4 inf + 0 10.681 * * [simplify]: Extracting #2: cost 8 inf + 0 10.681 * * [simplify]: Extracting #3: cost 9 inf + 42 10.681 * * [simplify]: Extracting #4: cost 9 inf + 84 10.681 * * [simplify]: Extracting #5: cost 8 inf + 85 10.681 * * [simplify]: Extracting #6: cost 5 inf + 296 10.682 * * [simplify]: Extracting #7: cost 1 inf + 885 10.682 * * [simplify]: Extracting #8: cost 0 inf + 1103 10.682 * [simplify]: Simplified to (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) 10.682 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))))) 10.683 * * * * [progress]: [ 115 / 160 ] simplifiying candidate # 10.683 * * * * [progress]: [ 116 / 160 ] simplifiying candidate # 10.683 * * * * [progress]: [ 117 / 160 ] simplifiying candidate # 10.683 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.683 * * [simplify]: iters left: 6 (12 enodes) 10.688 * * [simplify]: iters left: 5 (38 enodes) 10.697 * * [simplify]: Extracting #0: cost 1 inf + 0 10.697 * * [simplify]: Extracting #1: cost 4 inf + 0 10.697 * * [simplify]: Extracting #2: cost 8 inf + 0 10.697 * * [simplify]: Extracting #3: cost 12 inf + 0 10.697 * * [simplify]: Extracting #4: cost 16 inf + 0 10.697 * * [simplify]: Extracting #5: cost 18 inf + 1 10.698 * * [simplify]: Extracting #6: cost 15 inf + 246 10.698 * * [simplify]: Extracting #7: cost 12 inf + 489 10.698 * * [simplify]: Extracting #8: cost 9 inf + 700 10.698 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.699 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.700 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.700 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.700 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.700 * * [simplify]: iters left: 6 (12 enodes) 10.708 * * [simplify]: iters left: 5 (38 enodes) 10.718 * * [simplify]: Extracting #0: cost 1 inf + 0 10.718 * * [simplify]: Extracting #1: cost 4 inf + 0 10.718 * * [simplify]: Extracting #2: cost 8 inf + 0 10.718 * * [simplify]: Extracting #3: cost 12 inf + 0 10.718 * * [simplify]: Extracting #4: cost 16 inf + 0 10.718 * * [simplify]: Extracting #5: cost 18 inf + 1 10.718 * * [simplify]: Extracting #6: cost 15 inf + 246 10.719 * * [simplify]: Extracting #7: cost 12 inf + 489 10.719 * * [simplify]: Extracting #8: cost 9 inf + 700 10.719 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.720 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.720 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.720 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.721 * * * * [progress]: [ 118 / 160 ] simplifiying candidate # 10.721 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.721 * * [simplify]: iters left: 6 (12 enodes) 10.726 * * [simplify]: iters left: 5 (38 enodes) 10.736 * * [simplify]: Extracting #0: cost 1 inf + 0 10.736 * * [simplify]: Extracting #1: cost 4 inf + 0 10.736 * * [simplify]: Extracting #2: cost 8 inf + 0 10.736 * * [simplify]: Extracting #3: cost 12 inf + 0 10.736 * * [simplify]: Extracting #4: cost 16 inf + 0 10.736 * * [simplify]: Extracting #5: cost 18 inf + 1 10.736 * * [simplify]: Extracting #6: cost 15 inf + 246 10.736 * * [simplify]: Extracting #7: cost 12 inf + 489 10.737 * * [simplify]: Extracting #8: cost 9 inf + 700 10.737 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.738 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.738 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.738 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.739 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.739 * * [simplify]: iters left: 6 (12 enodes) 10.744 * * [simplify]: iters left: 5 (38 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 12 inf + 0 10.753 * * [simplify]: Extracting #4: cost 16 inf + 0 10.753 * * [simplify]: Extracting #5: cost 18 inf + 1 10.753 * * [simplify]: Extracting #6: cost 15 inf + 246 10.753 * * [simplify]: Extracting #7: cost 12 inf + 489 10.753 * * [simplify]: Extracting #8: cost 9 inf + 700 10.753 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.754 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.754 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.754 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.754 * * * * [progress]: [ 119 / 160 ] simplifiying candidate # 10.754 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.755 * * [simplify]: iters left: 6 (12 enodes) 10.757 * * [simplify]: iters left: 5 (38 enodes) 10.763 * * [simplify]: Extracting #0: cost 1 inf + 0 10.763 * * [simplify]: Extracting #1: cost 4 inf + 0 10.763 * * [simplify]: Extracting #2: cost 8 inf + 0 10.763 * * [simplify]: Extracting #3: cost 12 inf + 0 10.763 * * [simplify]: Extracting #4: cost 16 inf + 0 10.763 * * [simplify]: Extracting #5: cost 18 inf + 1 10.763 * * [simplify]: Extracting #6: cost 15 inf + 246 10.763 * * [simplify]: Extracting #7: cost 12 inf + 489 10.763 * * [simplify]: Extracting #8: cost 9 inf + 700 10.763 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.764 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.764 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.764 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.765 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.765 * * [simplify]: iters left: 6 (12 enodes) 10.768 * * [simplify]: iters left: 5 (38 enodes) 10.777 * * [simplify]: Extracting #0: cost 1 inf + 0 10.777 * * [simplify]: Extracting #1: cost 4 inf + 0 10.777 * * [simplify]: Extracting #2: cost 8 inf + 0 10.777 * * [simplify]: Extracting #3: cost 12 inf + 0 10.777 * * [simplify]: Extracting #4: cost 16 inf + 0 10.777 * * [simplify]: Extracting #5: cost 18 inf + 1 10.777 * * [simplify]: Extracting #6: cost 15 inf + 246 10.778 * * [simplify]: Extracting #7: cost 12 inf + 489 10.778 * * [simplify]: Extracting #8: cost 9 inf + 700 10.778 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.779 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.779 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.779 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.780 * * * * [progress]: [ 120 / 160 ] simplifiying candidate # 10.780 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.780 * * [simplify]: iters left: 6 (12 enodes) 10.785 * * [simplify]: iters left: 5 (38 enodes) 10.794 * * [simplify]: Extracting #0: cost 1 inf + 0 10.794 * * [simplify]: Extracting #1: cost 4 inf + 0 10.794 * * [simplify]: Extracting #2: cost 8 inf + 0 10.794 * * [simplify]: Extracting #3: cost 12 inf + 0 10.794 * * [simplify]: Extracting #4: cost 16 inf + 0 10.795 * * [simplify]: Extracting #5: cost 18 inf + 1 10.795 * * [simplify]: Extracting #6: cost 15 inf + 246 10.795 * * [simplify]: Extracting #7: cost 12 inf + 489 10.795 * * [simplify]: Extracting #8: cost 9 inf + 700 10.795 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.796 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.796 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.796 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.797 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.797 * * [simplify]: iters left: 6 (12 enodes) 10.800 * * [simplify]: iters left: 5 (38 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 12 inf + 0 10.806 * * [simplify]: Extracting #4: cost 16 inf + 0 10.806 * * [simplify]: Extracting #5: cost 18 inf + 1 10.806 * * [simplify]: Extracting #6: cost 15 inf + 246 10.806 * * [simplify]: Extracting #7: cost 12 inf + 489 10.806 * * [simplify]: Extracting #8: cost 9 inf + 700 10.807 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.807 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.807 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.807 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.807 * * * * [progress]: [ 121 / 160 ] simplifiying candidate # 10.808 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.808 * * [simplify]: iters left: 6 (12 enodes) 10.811 * * [simplify]: iters left: 5 (38 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 12 inf + 0 10.818 * * [simplify]: Extracting #4: cost 16 inf + 0 10.818 * * [simplify]: Extracting #5: cost 18 inf + 1 10.819 * * [simplify]: Extracting #6: cost 15 inf + 246 10.819 * * [simplify]: Extracting #7: cost 12 inf + 489 10.819 * * [simplify]: Extracting #8: cost 9 inf + 700 10.819 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.819 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.820 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.820 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.820 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.820 * * [simplify]: iters left: 6 (12 enodes) 10.823 * * [simplify]: iters left: 5 (38 enodes) 10.833 * * [simplify]: Extracting #0: cost 1 inf + 0 10.833 * * [simplify]: Extracting #1: cost 4 inf + 0 10.833 * * [simplify]: Extracting #2: cost 8 inf + 0 10.833 * * [simplify]: Extracting #3: cost 12 inf + 0 10.833 * * [simplify]: Extracting #4: cost 16 inf + 0 10.833 * * [simplify]: Extracting #5: cost 18 inf + 1 10.834 * * [simplify]: Extracting #6: cost 15 inf + 246 10.834 * * [simplify]: Extracting #7: cost 12 inf + 489 10.834 * * [simplify]: Extracting #8: cost 9 inf + 700 10.834 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.835 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.836 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.836 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.836 * * * * [progress]: [ 122 / 160 ] simplifiying candidate # 10.836 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.837 * * [simplify]: iters left: 6 (12 enodes) 10.842 * * [simplify]: iters left: 5 (38 enodes) 10.848 * * [simplify]: Extracting #0: cost 1 inf + 0 10.848 * * [simplify]: Extracting #1: cost 4 inf + 0 10.848 * * [simplify]: Extracting #2: cost 8 inf + 0 10.848 * * [simplify]: Extracting #3: cost 12 inf + 0 10.848 * * [simplify]: Extracting #4: cost 16 inf + 0 10.849 * * [simplify]: Extracting #5: cost 18 inf + 1 10.849 * * [simplify]: Extracting #6: cost 15 inf + 246 10.849 * * [simplify]: Extracting #7: cost 12 inf + 489 10.849 * * [simplify]: Extracting #8: cost 9 inf + 700 10.849 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.849 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.850 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.850 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.850 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.850 * * [simplify]: iters left: 6 (12 enodes) 10.853 * * [simplify]: iters left: 5 (38 enodes) 10.858 * * [simplify]: Extracting #0: cost 1 inf + 0 10.858 * * [simplify]: Extracting #1: cost 4 inf + 0 10.858 * * [simplify]: Extracting #2: cost 8 inf + 0 10.858 * * [simplify]: Extracting #3: cost 12 inf + 0 10.858 * * [simplify]: Extracting #4: cost 16 inf + 0 10.859 * * [simplify]: Extracting #5: cost 18 inf + 1 10.859 * * [simplify]: Extracting #6: cost 15 inf + 246 10.859 * * [simplify]: Extracting #7: cost 12 inf + 489 10.859 * * [simplify]: Extracting #8: cost 9 inf + 700 10.859 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.859 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.860 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.860 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.860 * * * * [progress]: [ 123 / 160 ] simplifiying candidate # 10.860 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.860 * * [simplify]: iters left: 6 (12 enodes) 10.863 * * [simplify]: iters left: 5 (38 enodes) 10.869 * * [simplify]: Extracting #0: cost 1 inf + 0 10.869 * * [simplify]: Extracting #1: cost 4 inf + 0 10.869 * * [simplify]: Extracting #2: cost 8 inf + 0 10.869 * * [simplify]: Extracting #3: cost 12 inf + 0 10.869 * * [simplify]: Extracting #4: cost 16 inf + 0 10.869 * * [simplify]: Extracting #5: cost 18 inf + 1 10.869 * * [simplify]: Extracting #6: cost 15 inf + 246 10.869 * * [simplify]: Extracting #7: cost 12 inf + 489 10.869 * * [simplify]: Extracting #8: cost 9 inf + 700 10.870 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.870 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.870 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.870 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.871 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.871 * * [simplify]: iters left: 6 (12 enodes) 10.874 * * [simplify]: iters left: 5 (38 enodes) 10.882 * * [simplify]: Extracting #0: cost 1 inf + 0 10.882 * * [simplify]: Extracting #1: cost 4 inf + 0 10.882 * * [simplify]: Extracting #2: cost 8 inf + 0 10.883 * * [simplify]: Extracting #3: cost 12 inf + 0 10.883 * * [simplify]: Extracting #4: cost 16 inf + 0 10.883 * * [simplify]: Extracting #5: cost 18 inf + 1 10.883 * * [simplify]: Extracting #6: cost 15 inf + 246 10.883 * * [simplify]: Extracting #7: cost 12 inf + 489 10.883 * * [simplify]: Extracting #8: cost 9 inf + 700 10.884 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.884 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.885 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.885 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.886 * * * * [progress]: [ 124 / 160 ] simplifiying candidate # 10.886 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.886 * * [simplify]: iters left: 6 (12 enodes) 10.892 * * [simplify]: iters left: 5 (38 enodes) 10.903 * * [simplify]: Extracting #0: cost 1 inf + 0 10.903 * * [simplify]: Extracting #1: cost 4 inf + 0 10.903 * * [simplify]: Extracting #2: cost 8 inf + 0 10.903 * * [simplify]: Extracting #3: cost 12 inf + 0 10.903 * * [simplify]: Extracting #4: cost 16 inf + 0 10.903 * * [simplify]: Extracting #5: cost 18 inf + 1 10.904 * * [simplify]: Extracting #6: cost 15 inf + 246 10.904 * * [simplify]: Extracting #7: cost 12 inf + 489 10.904 * * [simplify]: Extracting #8: cost 9 inf + 700 10.904 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.905 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.906 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.906 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.906 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.907 * * [simplify]: iters left: 6 (12 enodes) 10.912 * * [simplify]: iters left: 5 (38 enodes) 10.923 * * [simplify]: Extracting #0: cost 1 inf + 0 10.923 * * [simplify]: Extracting #1: cost 4 inf + 0 10.923 * * [simplify]: Extracting #2: cost 8 inf + 0 10.923 * * [simplify]: Extracting #3: cost 12 inf + 0 10.923 * * [simplify]: Extracting #4: cost 16 inf + 0 10.923 * * [simplify]: Extracting #5: cost 18 inf + 1 10.923 * * [simplify]: Extracting #6: cost 15 inf + 246 10.923 * * [simplify]: Extracting #7: cost 12 inf + 489 10.923 * * [simplify]: Extracting #8: cost 9 inf + 700 10.924 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.925 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.925 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.925 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.926 * * * * [progress]: [ 125 / 160 ] simplifiying candidate # 10.926 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.926 * * [simplify]: iters left: 6 (12 enodes) 10.934 * * [simplify]: iters left: 5 (38 enodes) 10.945 * * [simplify]: Extracting #0: cost 1 inf + 0 10.945 * * [simplify]: Extracting #1: cost 4 inf + 0 10.945 * * [simplify]: Extracting #2: cost 8 inf + 0 10.945 * * [simplify]: Extracting #3: cost 12 inf + 0 10.945 * * [simplify]: Extracting #4: cost 16 inf + 0 10.945 * * [simplify]: Extracting #5: cost 18 inf + 1 10.946 * * [simplify]: Extracting #6: cost 15 inf + 246 10.946 * * [simplify]: Extracting #7: cost 12 inf + 489 10.946 * * [simplify]: Extracting #8: cost 9 inf + 700 10.946 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.947 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.948 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.948 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))))))) 10.948 * [simplify]: Simplifying (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) 10.949 * * [simplify]: iters left: 6 (12 enodes) 10.954 * * [simplify]: iters left: 5 (38 enodes) 10.965 * * [simplify]: Extracting #0: cost 1 inf + 0 10.965 * * [simplify]: Extracting #1: cost 4 inf + 0 10.965 * * [simplify]: Extracting #2: cost 8 inf + 0 10.966 * * [simplify]: Extracting #3: cost 12 inf + 0 10.966 * * [simplify]: Extracting #4: cost 16 inf + 0 10.966 * * [simplify]: Extracting #5: cost 18 inf + 1 10.966 * * [simplify]: Extracting #6: cost 15 inf + 246 10.966 * * [simplify]: Extracting #7: cost 12 inf + 489 10.966 * * [simplify]: Extracting #8: cost 9 inf + 700 10.967 * * [simplify]: Extracting #9: cost 5 inf + 1248 10.967 * * [simplify]: Extracting #10: cost 0 inf + 2615 10.968 * [simplify]: Simplified to (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))) 10.969 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt (sqrt 2.0)))) (* (sqrt (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt (+ re (hypot re im)))))))))) 10.969 * * * * [progress]: [ 126 / 160 ] simplifiying candidate # 10.969 * [simplify]: Simplifying (cbrt (sqrt (sqrt 2.0))) 10.969 * * [simplify]: iters left: 3 (4 enodes) 10.972 * * [simplify]: iters left: 2 (12 enodes) 10.977 * * [simplify]: Extracting #0: cost 1 inf + 0 10.977 * * [simplify]: Extracting #1: cost 3 inf + 0 10.977 * * [simplify]: Extracting #2: cost 5 inf + 0 10.977 * * [simplify]: Extracting #3: cost 7 inf + 0 10.977 * * [simplify]: Extracting #4: cost 6 inf + 1 10.977 * * [simplify]: Extracting #5: cost 0 inf + 567 10.977 * [simplify]: Simplified to (cbrt (sqrt (sqrt 2.0))) 10.977 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (cbrt (sqrt (sqrt 2.0))))))) 10.977 * * * * [progress]: [ 127 / 160 ] simplifiying candidate # 10.978 * [simplify]: Simplifying (sqrt (cbrt (sqrt 2.0))) 10.978 * * [simplify]: iters left: 3 (4 enodes) 10.980 * * [simplify]: iters left: 2 (12 enodes) 10.984 * * [simplify]: Extracting #0: cost 1 inf + 0 10.984 * * [simplify]: Extracting #1: cost 3 inf + 0 10.984 * * [simplify]: Extracting #2: cost 5 inf + 0 10.984 * * [simplify]: Extracting #3: cost 7 inf + 0 10.984 * * [simplify]: Extracting #4: cost 6 inf + 1 10.985 * * [simplify]: Extracting #5: cost 0 inf + 647 10.985 * [simplify]: Simplified to (sqrt (cbrt (sqrt 2.0))) 10.985 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (sqrt (cbrt (sqrt 2.0))))))) 10.985 * * * * [progress]: [ 128 / 160 ] simplifiying candidate # 10.985 * [simplify]: Simplifying (sqrt (sqrt (cbrt 2.0))) 10.985 * * [simplify]: iters left: 3 (4 enodes) 10.988 * * [simplify]: iters left: 2 (12 enodes) 10.992 * * [simplify]: Extracting #0: cost 1 inf + 0 10.992 * * [simplify]: Extracting #1: cost 3 inf + 0 10.992 * * [simplify]: Extracting #2: cost 5 inf + 0 10.992 * * [simplify]: Extracting #3: cost 7 inf + 0 10.992 * * [simplify]: Extracting #4: cost 6 inf + 1 10.992 * * [simplify]: Extracting #5: cost 0 inf + 727 10.993 * [simplify]: Simplified to (sqrt (sqrt (cbrt 2.0))) 10.993 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (sqrt (sqrt (cbrt 2.0))))))) 10.993 * * * * [progress]: [ 129 / 160 ] simplifiying candidate # 10.993 * [simplify]: Simplifying (sqrt (sqrt (sqrt 2.0))) 10.993 * * [simplify]: iters left: 3 (4 enodes) 10.996 * * [simplify]: iters left: 2 (12 enodes) 11.000 * * [simplify]: Extracting #0: cost 1 inf + 0 11.000 * * [simplify]: Extracting #1: cost 3 inf + 0 11.000 * * [simplify]: Extracting #2: cost 5 inf + 0 11.000 * * [simplify]: Extracting #3: cost 7 inf + 0 11.000 * * [simplify]: Extracting #4: cost 6 inf + 1 11.000 * * [simplify]: Extracting #5: cost 0 inf + 487 11.000 * [simplify]: Simplified to (sqrt (sqrt (sqrt 2.0))) 11.001 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))))) 11.001 * * * * [progress]: [ 130 / 160 ] simplifiying candidate # 11.001 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 11.001 * * [simplify]: iters left: 2 (3 enodes) 11.003 * * [simplify]: iters left: 1 (9 enodes) 11.006 * * [simplify]: Extracting #0: cost 1 inf + 0 11.006 * * [simplify]: Extracting #1: cost 3 inf + 0 11.007 * * [simplify]: Extracting #2: cost 5 inf + 0 11.007 * * [simplify]: Extracting #3: cost 4 inf + 1 11.007 * * [simplify]: Extracting #4: cost 0 inf + 245 11.007 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 11.007 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 1))) (sqrt (sqrt 2.0)))))) 11.007 * * * * [progress]: [ 131 / 160 ] simplifiying candidate # 11.007 * [simplify]: Simplifying (sqrt (sqrt (sqrt 2.0))) 11.007 * * [simplify]: iters left: 3 (4 enodes) 11.010 * * [simplify]: iters left: 2 (12 enodes) 11.014 * * [simplify]: Extracting #0: cost 1 inf + 0 11.014 * * [simplify]: Extracting #1: cost 3 inf + 0 11.014 * * [simplify]: Extracting #2: cost 5 inf + 0 11.014 * * [simplify]: Extracting #3: cost 7 inf + 0 11.014 * * [simplify]: Extracting #4: cost 6 inf + 1 11.015 * * [simplify]: Extracting #5: cost 0 inf + 487 11.015 * [simplify]: Simplified to (sqrt (sqrt (sqrt 2.0))) 11.015 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))))) 11.015 * * * * [progress]: [ 132 / 160 ] simplifiying candidate # 11.015 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 11.015 * * [simplify]: iters left: 2 (3 enodes) 11.017 * * [simplify]: iters left: 1 (9 enodes) 11.021 * * [simplify]: Extracting #0: cost 1 inf + 0 11.021 * * [simplify]: Extracting #1: cost 3 inf + 0 11.021 * * [simplify]: Extracting #2: cost 5 inf + 0 11.021 * * [simplify]: Extracting #3: cost 4 inf + 1 11.021 * * [simplify]: Extracting #4: cost 0 inf + 245 11.021 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 11.021 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 1)) (sqrt (sqrt 2.0)))))) 11.022 * * * * [progress]: [ 133 / 160 ] simplifiying candidate # 11.022 * [simplify]: Simplifying (sqrt (sqrt (sqrt 2.0))) 11.022 * * [simplify]: iters left: 3 (4 enodes) 11.025 * * [simplify]: iters left: 2 (12 enodes) 11.029 * * [simplify]: Extracting #0: cost 1 inf + 0 11.029 * * [simplify]: Extracting #1: cost 3 inf + 0 11.029 * * [simplify]: Extracting #2: cost 5 inf + 0 11.029 * * [simplify]: Extracting #3: cost 7 inf + 0 11.029 * * [simplify]: Extracting #4: cost 6 inf + 1 11.029 * * [simplify]: Extracting #5: cost 0 inf + 487 11.029 * [simplify]: Simplified to (sqrt (sqrt (sqrt 2.0))) 11.030 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))))) 11.030 * * * * [progress]: [ 134 / 160 ] simplifiying candidate # 11.030 * [simplify]: Simplifying (sqrt (sqrt 2.0)) 11.030 * * [simplify]: iters left: 2 (3 enodes) 11.032 * * [simplify]: iters left: 1 (9 enodes) 11.036 * * [simplify]: Extracting #0: cost 1 inf + 0 11.036 * * [simplify]: Extracting #1: cost 3 inf + 0 11.036 * * [simplify]: Extracting #2: cost 5 inf + 0 11.036 * * [simplify]: Extracting #3: cost 4 inf + 1 11.036 * * [simplify]: Extracting #4: cost 0 inf + 245 11.036 * [simplify]: Simplified to (sqrt (sqrt 2.0)) 11.036 * [simplify]: Simplified (2 2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (sqrt (sqrt (+ (hypot re im) re))) 1) (sqrt (sqrt 2.0)))))) 11.036 * * * * [progress]: [ 135 / 160 ] simplifiying candidate # 11.037 * [simplify]: Simplifying (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) 11.037 * * [simplify]: iters left: 6 (8 enodes) 11.040 * * [simplify]: iters left: 5 (25 enodes) 11.046 * * [simplify]: Extracting #0: cost 1 inf + 0 11.046 * * [simplify]: Extracting #1: cost 3 inf + 0 11.047 * * [simplify]: Extracting #2: cost 5 inf + 0 11.047 * * [simplify]: Extracting #3: cost 7 inf + 0 11.047 * * [simplify]: Extracting #4: cost 9 inf + 0 11.047 * * [simplify]: Extracting #5: cost 12 inf + 0 11.047 * * [simplify]: Extracting #6: cost 13 inf + 1 11.047 * * [simplify]: Extracting #7: cost 12 inf + 2 11.047 * * [simplify]: Extracting #8: cost 9 inf + 213 11.047 * * [simplify]: Extracting #9: cost 5 inf + 761 11.048 * * [simplify]: Extracting #10: cost 1 inf + 1749 11.048 * * [simplify]: Extracting #11: cost 0 inf + 2046 11.049 * [simplify]: Simplified to (* (cbrt (sqrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (sqrt (+ re (hypot re im)))))) 11.049 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ re (hypot re im))))) (cbrt (sqrt (sqrt (+ re (hypot re im)))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 11.049 * * * * [progress]: [ 136 / 160 ] simplifiying candidate # 11.049 * [simplify]: Simplifying (sqrt (* (cbrt (sqrt (+ (hypot re im) re))) (cbrt (sqrt (+ (hypot re im) re))))) 11.050 * * [simplify]: iters left: 6 (8 enodes) 11.053 * * [simplify]: iters left: 5 (26 enodes) 11.059 * * [simplify]: Extracting #0: cost 1 inf + 0 11.060 * * [simplify]: Extracting #1: cost 4 inf + 0 11.060 * * [simplify]: Extracting #2: cost 7 inf + 0 11.060 * * [simplify]: Extracting #3: cost 9 inf + 0 11.060 * * [simplify]: Extracting #4: cost 12 inf + 0 11.060 * * [simplify]: Extracting #5: cost 13 inf + 1 11.060 * * [simplify]: Extracting #6: cost 12 inf + 2 11.060 * * [simplify]: Extracting #7: cost 8 inf + 310 11.060 * * [simplify]: Extracting #8: cost 4 inf + 1058 11.061 * * [simplify]: Extracting #9: cost 1 inf + 1789 11.061 * * [simplify]: Extracting #10: cost 0 inf + 2046 11.062 * [simplify]: Simplified to (fabs (cbrt (sqrt (+ re (hypot re im))))) 11.062 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (fabs (cbrt (sqrt (+ re (hypot re im))))) (* (sqrt (cbrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 11.062 * * * * [progress]: [ 137 / 160 ] simplifiying candidate # 11.062 * [simplify]: Simplifying (sqrt (sqrt (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))))) 11.063 * * [simplify]: iters left: 6 (8 enodes) 11.066 * * [simplify]: iters left: 5 (26 enodes) 11.073 * * [simplify]: Extracting #0: cost 1 inf + 0 11.073 * * [simplify]: Extracting #1: cost 3 inf + 0 11.073 * * [simplify]: Extracting #2: cost 6 inf + 0 11.073 * * [simplify]: Extracting #3: cost 9 inf + 0 11.073 * * [simplify]: Extracting #4: cost 12 inf + 0 11.073 * * [simplify]: Extracting #5: cost 13 inf + 1 11.073 * * [simplify]: Extracting #6: cost 12 inf + 2 11.073 * * [simplify]: Extracting #7: cost 8 inf + 310 11.074 * * [simplify]: Extracting #8: cost 3 inf + 1355 11.074 * * [simplify]: Extracting #9: cost 0 inf + 2046 11.075 * [simplify]: Simplified to (sqrt (fabs (cbrt (+ re (hypot re im))))) 11.075 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (fabs (cbrt (+ re (hypot re im))))) (* (sqrt (sqrt (cbrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 11.075 * * * * [progress]: [ 138 / 160 ] simplifiying candidate # 11.075 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (hypot re im) re)))) 11.075 * * [simplify]: iters left: 6 (7 enodes) 11.078 * * [simplify]: iters left: 5 (22 enodes) 11.084 * * [simplify]: Extracting #0: cost 1 inf + 0 11.084 * * [simplify]: Extracting #1: cost 3 inf + 0 11.084 * * [simplify]: Extracting #2: cost 5 inf + 0 11.084 * * [simplify]: Extracting #3: cost 7 inf + 0 11.084 * * [simplify]: Extracting #4: cost 10 inf + 0 11.084 * * [simplify]: Extracting #5: cost 11 inf + 1 11.084 * * [simplify]: Extracting #6: cost 10 inf + 2 11.085 * * [simplify]: Extracting #7: cost 1 inf + 1155 11.085 * * [simplify]: Extracting #8: cost 0 inf + 1372 11.087 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ re (hypot re im))))) 11.087 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 11.088 * * * * [progress]: [ 139 / 160 ] simplifiying candidate # 11.088 * [simplify]: Simplifying (sqrt (sqrt 1)) 11.088 * * [simplify]: iters left: 2 (3 enodes) 11.094 * * [simplify]: iters left: 1 (11 enodes) 11.096 * * [simplify]: Extracting #0: cost 1 inf + 0 11.097 * * [simplify]: Extracting #1: cost 0 inf + 1 11.097 * [simplify]: Simplified to 1 11.097 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* 1 (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))) 11.097 * * * * [progress]: [ 140 / 160 ] simplifiying candidate # 11.097 * [simplify]: Simplifying (sqrt (sqrt 1)) 11.097 * * [simplify]: iters left: 2 (3 enodes) 11.103 * * [simplify]: iters left: 1 (11 enodes) 11.106 * * [simplify]: Extracting #0: cost 1 inf + 0 11.106 * * [simplify]: Extracting #1: cost 0 inf + 1 11.106 * [simplify]: Simplified to 1 11.106 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* 1 (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))) 11.106 * * * * [progress]: [ 141 / 160 ] simplifiying candidate # 11.106 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (hypot re im) re)))) 11.106 * * [simplify]: iters left: 6 (7 enodes) 11.109 * * [simplify]: iters left: 5 (22 enodes) 11.115 * * [simplify]: Extracting #0: cost 1 inf + 0 11.115 * * [simplify]: Extracting #1: cost 3 inf + 0 11.115 * * [simplify]: Extracting #2: cost 5 inf + 0 11.115 * * [simplify]: Extracting #3: cost 7 inf + 0 11.115 * * [simplify]: Extracting #4: cost 10 inf + 0 11.115 * * [simplify]: Extracting #5: cost 11 inf + 1 11.115 * * [simplify]: Extracting #6: cost 10 inf + 2 11.116 * * [simplify]: Extracting #7: cost 1 inf + 1155 11.116 * * [simplify]: Extracting #8: cost 0 inf + 1372 11.116 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ re (hypot re im))))) 11.116 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 11.117 * * * * [progress]: [ 142 / 160 ] simplifiying candidate # 11.117 * [simplify]: Simplifying (sqrt 1) 11.117 * * [simplify]: iters left: 1 (2 enodes) 11.121 * * [simplify]: Extracting #0: cost 1 inf + 0 11.121 * * [simplify]: Extracting #1: cost 0 inf + 1 11.121 * [simplify]: Simplified to 1 11.121 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* 1 (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))) 11.121 * * * * [progress]: [ 143 / 160 ] simplifiying candidate # 11.121 * [simplify]: Simplifying (sqrt (sqrt (sqrt (+ (hypot re im) re)))) 11.121 * * [simplify]: iters left: 6 (7 enodes) 11.124 * * [simplify]: iters left: 5 (22 enodes) 11.130 * * [simplify]: Extracting #0: cost 1 inf + 0 11.130 * * [simplify]: Extracting #1: cost 3 inf + 0 11.130 * * [simplify]: Extracting #2: cost 5 inf + 0 11.130 * * [simplify]: Extracting #3: cost 7 inf + 0 11.130 * * [simplify]: Extracting #4: cost 10 inf + 0 11.130 * * [simplify]: Extracting #5: cost 11 inf + 1 11.130 * * [simplify]: Extracting #6: cost 10 inf + 2 11.131 * * [simplify]: Extracting #7: cost 1 inf + 1155 11.131 * * [simplify]: Extracting #8: cost 0 inf + 1372 11.131 * [simplify]: Simplified to (sqrt (sqrt (sqrt (+ re (hypot re im))))) 11.131 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 11.132 * * * * [progress]: [ 144 / 160 ] simplifiying candidate # 11.132 * * * * [progress]: [ 145 / 160 ] simplifiying candidate # 11.132 * [simplify]: Simplifying (* (sqrt (sqrt (+ (pow (hypot re im) 3) (pow re 3)))) (sqrt (sqrt 2.0))) 11.132 * * [simplify]: iters left: 6 (13 enodes) 11.140 * * [simplify]: iters left: 5 (54 enodes) 11.160 * * [simplify]: iters left: 4 (89 enodes) 11.192 * * [simplify]: iters left: 3 (138 enodes) 11.238 * * [simplify]: iters left: 2 (217 enodes) 11.292 * * [simplify]: iters left: 1 (418 enodes) 11.469 * * [simplify]: Extracting #0: cost 1 inf + 0 11.469 * * [simplify]: Extracting #1: cost 4 inf + 0 11.469 * * [simplify]: Extracting #2: cost 8 inf + 0 11.469 * * [simplify]: Extracting #3: cost 14 inf + 0 11.470 * * [simplify]: Extracting #4: cost 39 inf + 1 11.470 * * [simplify]: Extracting #5: cost 101 inf + 248 11.471 * * [simplify]: Extracting #6: cost 127 inf + 4756 11.475 * * [simplify]: Extracting #7: cost 70 inf + 31916 11.485 * * [simplify]: Extracting #8: cost 3 inf + 74839 11.497 * * [simplify]: Extracting #9: cost 0 inf + 76551 11.509 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (sqrt (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re))))) 11.509 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (/ (* (sqrt (sqrt 2.0)) (sqrt (sqrt (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))))))))) 11.509 * * * * [progress]: [ 146 / 160 ] simplifiying candidate # 11.510 * [simplify]: Simplifying (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0))) 11.510 * * [simplify]: iters left: 6 (12 enodes) 11.516 * * [simplify]: iters left: 5 (43 enodes) 11.530 * * [simplify]: iters left: 4 (56 enodes) 11.549 * * [simplify]: iters left: 3 (75 enodes) 11.573 * * [simplify]: iters left: 2 (122 enodes) 11.618 * * [simplify]: iters left: 1 (227 enodes) 11.689 * * [simplify]: Extracting #0: cost 1 inf + 0 11.689 * * [simplify]: Extracting #1: cost 4 inf + 0 11.689 * * [simplify]: Extracting #2: cost 8 inf + 0 11.689 * * [simplify]: Extracting #3: cost 12 inf + 0 11.689 * * [simplify]: Extracting #4: cost 33 inf + 123 11.690 * * [simplify]: Extracting #5: cost 60 inf + 409 11.690 * * [simplify]: Extracting #6: cost 56 inf + 573 11.692 * * [simplify]: Extracting #7: cost 18 inf + 7104 11.695 * * [simplify]: Extracting #8: cost 0 inf + 10147 11.700 * * [simplify]: Extracting #9: cost 0 inf + 10077 11.706 * [simplify]: Simplified to (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0))) 11.707 * [simplify]: Simplified (2 2 2 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (/ (* (sqrt (sqrt (- (* (hypot re im) (hypot re im)) (* re re)))) (sqrt (sqrt 2.0))) (sqrt (sqrt (- (hypot re im) re))))))) 11.707 * * * * [progress]: [ 147 / 160 ] simplifiying candidate #real (real->posit16 (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))))))))> 11.707 * * * * [progress]: [ 148 / 160 ] simplifiying candidate # 11.707 * * * * [progress]: [ 149 / 160 ] simplifiying candidate # 11.707 * [simplify]: Simplifying (+ re im) 11.707 * * [simplify]: iters left: 2 (3 enodes) 11.709 * * [simplify]: iters left: 1 (10 enodes) 11.711 * * [simplify]: Extracting #0: cost 1 inf + 0 11.711 * * [simplify]: Extracting #1: cost 4 inf + 0 11.711 * * [simplify]: Extracting #2: cost 2 inf + 2 11.712 * * [simplify]: Extracting #3: cost 0 inf + 86 11.712 * [simplify]: Simplified to (+ im re) 11.712 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ im re))) (sqrt (sqrt 2.0)))))) 11.712 * * * * [progress]: [ 150 / 160 ] simplifiying candidate # 11.712 * [simplify]: Simplifying (* 2 re) 11.712 * * [simplify]: iters left: 2 (3 enodes) 11.714 * * [simplify]: iters left: 1 (10 enodes) 11.718 * * [simplify]: Extracting #0: cost 1 inf + 0 11.718 * * [simplify]: Extracting #1: cost 4 inf + 0 11.718 * * [simplify]: Extracting #2: cost 2 inf + 2 11.718 * * [simplify]: Extracting #3: cost 0 inf + 86 11.718 * [simplify]: Simplified to (* 2 re) 11.718 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (* 2 re))) (sqrt (sqrt 2.0)))))) 11.718 * * * * [progress]: [ 151 / 160 ] simplifiying candidate # 11.718 * [simplify]: Simplifying 0 11.719 * * [simplify]: iters left: 0 (1 enodes) 11.719 * * [simplify]: Extracting #0: cost 1 inf + 0 11.719 * * [simplify]: Extracting #1: cost 0 inf + 1 11.720 * [simplify]: Simplified to 0 11.720 * [simplify]: Simplified (2 2 2 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 0)) (sqrt (sqrt 2.0)))))) 11.720 * * * * [progress]: [ 152 / 160 ] simplifiying candidate # 11.720 * [simplify]: Simplifying (+ re im) 11.720 * * [simplify]: iters left: 2 (3 enodes) 11.721 * * [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 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ im re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 11.724 * * * * [progress]: [ 153 / 160 ] simplifiying candidate # 11.725 * [simplify]: Simplifying (* 2 re) 11.725 * * [simplify]: iters left: 2 (3 enodes) 11.726 * * [simplify]: iters left: 1 (10 enodes) 11.729 * * [simplify]: Extracting #0: cost 1 inf + 0 11.729 * * [simplify]: Extracting #1: cost 4 inf + 0 11.729 * * [simplify]: Extracting #2: cost 2 inf + 2 11.729 * * [simplify]: Extracting #3: cost 0 inf + 86 11.729 * [simplify]: Simplified to (* 2 re) 11.729 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2 re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 11.729 * * * * [progress]: [ 154 / 160 ] simplifiying candidate # 11.729 * [simplify]: Simplifying 0 11.729 * * [simplify]: iters left: 0 (1 enodes) 11.730 * * [simplify]: Extracting #0: cost 1 inf + 0 11.730 * * [simplify]: Extracting #1: cost 0 inf + 1 11.730 * [simplify]: Simplified to 0 11.730 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 0)) (sqrt (sqrt 2.0))) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0)))))) 11.730 * * * * [progress]: [ 155 / 160 ] simplifiying candidate # 11.730 * [simplify]: Simplifying (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 11.730 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 11.730 * * * * [progress]: [ 156 / 160 ] simplifiying candidate # 11.731 * [simplify]: Simplifying (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 11.731 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 +nan.0)) 11.731 * * * * [progress]: [ 157 / 160 ] simplifiying candidate # 11.731 * [simplify]: Simplifying 0 11.731 * * [simplify]: iters left: 0 (1 enodes) 11.731 * * [simplify]: Extracting #0: cost 1 inf + 0 11.731 * * [simplify]: Extracting #1: cost 0 inf + 1 11.731 * [simplify]: Simplified to 0 11.731 * [simplify]: Simplified (2 2) to (λ (re im) (* 0.5 0)) 11.731 * * * * [progress]: [ 158 / 160 ] simplifiying candidate # 11.732 * [simplify]: Simplifying (+ (* 1/4 (* (sqrt (sqrt 2.0)) (* re (pow (/ 1 (pow im 3)) 1/4)))) (+ (* 1/32 (* (sqrt (sqrt 2.0)) (* (pow re 2) (pow (/ 1 (pow im 7)) 1/4)))) (* (sqrt (sqrt 2.0)) (pow im 1/4)))) 11.732 * * [simplify]: iters left: 6 (28 enodes) 11.741 * * [simplify]: iters left: 5 (130 enodes) 11.778 * * [simplify]: iters left: 4 (286 enodes) 11.924 * * [simplify]: Extracting #0: cost 1 inf + 0 11.925 * * [simplify]: Extracting #1: cost 34 inf + 0 11.925 * * [simplify]: Extracting #2: cost 138 inf + 44 11.927 * * [simplify]: Extracting #3: cost 169 inf + 420 11.928 * * [simplify]: Extracting #4: cost 173 inf + 2590 11.932 * * [simplify]: Extracting #5: cost 123 inf + 17152 11.937 * * [simplify]: Extracting #6: cost 79 inf + 37399 11.946 * * [simplify]: Extracting #7: cost 15 inf + 74895 11.957 * * [simplify]: Extracting #8: cost 0 inf + 83729 11.976 * * [simplify]: Extracting #9: cost 0 inf + 83699 11.998 * [simplify]: Simplified to (fma 1/32 (* (pow (/ 1 (pow im 7)) 1/4) (* (sqrt (sqrt 2.0)) (* re re))) (* (sqrt (sqrt 2.0)) (+ (pow im 1/4) (* (* re (pow (/ (/ 1 im) (* im im)) 1/4)) 1/4)))) 11.998 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (fma 1/32 (* (pow (/ 1 (pow im 7)) 1/4) (* (sqrt (sqrt 2.0)) (* re re))) (* (sqrt (sqrt 2.0)) (+ (pow im 1/4) (* (* re (pow (/ (/ 1 im) (* im im)) 1/4)) 1/4))))))) 11.998 * * * * [progress]: [ 159 / 160 ] simplifiying candidate # 11.999 * [simplify]: Simplifying (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (log 2) (log (/ 1 re)))))) 11.999 * * [simplify]: iters left: 6 (14 enodes) 12.011 * * [simplify]: iters left: 5 (54 enodes) 12.020 * * [simplify]: iters left: 4 (72 enodes) 12.033 * * [simplify]: iters left: 3 (121 enodes) 12.068 * * [simplify]: iters left: 2 (223 enodes) 12.150 * * [simplify]: iters left: 1 (423 enodes) 12.310 * * [simplify]: Extracting #0: cost 1 inf + 0 12.310 * * [simplify]: Extracting #1: cost 63 inf + 0 12.311 * * [simplify]: Extracting #2: cost 220 inf + 0 12.312 * * [simplify]: Extracting #3: cost 260 inf + 1377 12.315 * * [simplify]: Extracting #4: cost 169 inf + 27833 12.335 * * [simplify]: Extracting #5: cost 73 inf + 70518 12.366 * * [simplify]: Extracting #6: cost 6 inf + 131789 12.398 * * [simplify]: Extracting #7: cost 0 inf + 131928 12.429 * * [simplify]: Extracting #8: cost 0 inf + 131404 12.456 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (pow (* re 2) 1/4)) 12.456 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (pow (* re 2) 1/4))))) 12.456 * * * * [progress]: [ 160 / 160 ] simplifiying candidate # 12.456 * [simplify]: Simplifying (* (sqrt (sqrt 2.0)) (exp (* 1/4 (- (+ (log (/ -1 re)) (log 1/2)) (* 2 (log (/ -1 im))))))) 12.456 * * [simplify]: iters left: 6 (20 enodes) 12.463 * * [simplify]: iters left: 5 (75 enodes) 12.478 * * [simplify]: iters left: 4 (129 enodes) 12.525 * * [simplify]: iters left: 3 (307 enodes) 12.603 * * [simplify]: Extracting #0: cost 1 inf + 0 12.604 * * [simplify]: Extracting #1: cost 12 inf + 0 12.604 * * [simplify]: Extracting #2: cost 62 inf + 0 12.605 * * [simplify]: Extracting #3: cost 183 inf + 146 12.606 * * [simplify]: Extracting #4: cost 258 inf + 792 12.610 * * [simplify]: Extracting #5: cost 212 inf + 8377 12.622 * * [simplify]: Extracting #6: cost 80 inf + 42388 12.645 * * [simplify]: Extracting #7: cost 14 inf + 65667 12.674 * * [simplify]: Extracting #8: cost 1 inf + 74718 12.698 * * [simplify]: Extracting #9: cost 0 inf + 75510 12.722 * [simplify]: Simplified to (* (sqrt (sqrt 2.0)) (exp (fma 1/4 (+ (log 1/2) (log (/ -1 re))) (* (log (/ -1 im)) -1/2)))) 12.722 * [simplify]: Simplified (2 2 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (sqrt (sqrt 2.0)) (exp (fma 1/4 (+ (log 1/2) (log (/ -1 re))) (* (log (/ -1 im)) -1/2))))))) 12.722 * * * [progress]: adding candidates to table 14.924 * * [progress]: iteration 4 / 4 14.924 * * * [progress]: picking best candidate 14.968 * * * * [pick]: Picked # 14.968 * * * [progress]: localizing error 15.037 * * * [progress]: generating rewritten candidates 15.037 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1 1 1 1) 15.042 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 1 1 1) 15.047 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1 1 1) 15.051 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 1) 15.057 * * * [progress]: generating series expansions 15.057 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1 1 1 1) 15.057 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 15.057 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 15.057 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 15.057 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.057 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.057 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.057 * [taylor]: Taking taylor expansion of (* re re) in im 15.057 * [taylor]: Taking taylor expansion of re in im 15.057 * [backup-simplify]: Simplify re into re 15.057 * [taylor]: Taking taylor expansion of re in im 15.057 * [backup-simplify]: Simplify re into re 15.057 * [taylor]: Taking taylor expansion of (* im im) in im 15.057 * [taylor]: Taking taylor expansion of im in im 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify 1 into 1 15.057 * [taylor]: Taking taylor expansion of im in im 15.057 * [backup-simplify]: Simplify 0 into 0 15.057 * [backup-simplify]: Simplify 1 into 1 15.057 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.058 * [backup-simplify]: Simplify (* 0 0) into 0 15.058 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.058 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.058 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.058 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.059 * [backup-simplify]: Simplify (+ 0 0) into 0 15.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.059 * [taylor]: Taking taylor expansion of re in im 15.059 * [backup-simplify]: Simplify re into re 15.059 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.059 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.059 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.059 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.059 * [taylor]: Taking taylor expansion of (* re re) in re 15.059 * [taylor]: Taking taylor expansion of re in re 15.059 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify 1 into 1 15.059 * [taylor]: Taking taylor expansion of re in re 15.059 * [backup-simplify]: Simplify 0 into 0 15.059 * [backup-simplify]: Simplify 1 into 1 15.059 * [taylor]: Taking taylor expansion of (* im im) in re 15.059 * [taylor]: Taking taylor expansion of im in re 15.059 * [backup-simplify]: Simplify im into im 15.059 * [taylor]: Taking taylor expansion of im in re 15.059 * [backup-simplify]: Simplify im into im 15.059 * [backup-simplify]: Simplify (* 0 0) into 0 15.059 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.059 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.059 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.060 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.060 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.060 * [backup-simplify]: Simplify (+ 0 0) into 0 15.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.060 * [taylor]: Taking taylor expansion of re in re 15.060 * [backup-simplify]: Simplify 0 into 0 15.060 * [backup-simplify]: Simplify 1 into 1 15.060 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.060 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.060 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.060 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.060 * [taylor]: Taking taylor expansion of (* re re) in re 15.060 * [taylor]: Taking taylor expansion of re in re 15.060 * [backup-simplify]: Simplify 0 into 0 15.060 * [backup-simplify]: Simplify 1 into 1 15.060 * [taylor]: Taking taylor expansion of re in re 15.060 * [backup-simplify]: Simplify 0 into 0 15.060 * [backup-simplify]: Simplify 1 into 1 15.060 * [taylor]: Taking taylor expansion of (* im im) in re 15.060 * [taylor]: Taking taylor expansion of im in re 15.060 * [backup-simplify]: Simplify im into im 15.060 * [taylor]: Taking taylor expansion of im in re 15.060 * [backup-simplify]: Simplify im into im 15.061 * [backup-simplify]: Simplify (* 0 0) into 0 15.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.061 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.061 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.061 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.062 * [backup-simplify]: Simplify (+ 0 0) into 0 15.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.062 * [taylor]: Taking taylor expansion of re in re 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [backup-simplify]: Simplify (+ im 0) into im 15.062 * [taylor]: Taking taylor expansion of im in im 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [backup-simplify]: Simplify 0 into 0 15.062 * [backup-simplify]: Simplify (+ 0 1) into 1 15.062 * [taylor]: Taking taylor expansion of 1 in im 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [backup-simplify]: Simplify 1 into 1 15.062 * [backup-simplify]: Simplify 1 into 1 15.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.063 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.063 * [backup-simplify]: Simplify (+ 1 0) into 1 15.064 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.064 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 15.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 15.064 * [taylor]: Taking taylor expansion of 1/2 in im 15.064 * [backup-simplify]: Simplify 1/2 into 1/2 15.064 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.064 * [taylor]: Taking taylor expansion of im in im 15.064 * [backup-simplify]: Simplify 0 into 0 15.064 * [backup-simplify]: Simplify 1 into 1 15.064 * [backup-simplify]: Simplify (/ 1 1) into 1 15.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.065 * [backup-simplify]: Simplify 0 into 0 15.065 * [backup-simplify]: Simplify 0 into 0 15.065 * [backup-simplify]: Simplify 0 into 0 15.066 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.066 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.067 * [backup-simplify]: Simplify (+ 0 0) into 0 15.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.067 * [backup-simplify]: Simplify (+ 0 0) into 0 15.067 * [taylor]: Taking taylor expansion of 0 in im 15.067 * [backup-simplify]: Simplify 0 into 0 15.067 * [backup-simplify]: Simplify 0 into 0 15.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [backup-simplify]: Simplify 0 into 0 15.069 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 15.069 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 15.069 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 15.069 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 15.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.069 * [taylor]: Taking taylor expansion of re in im 15.069 * [backup-simplify]: Simplify re into re 15.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.069 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.069 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.069 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.069 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.069 * [taylor]: Taking taylor expansion of re in im 15.069 * [backup-simplify]: Simplify re into re 15.069 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.069 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.069 * [taylor]: Taking taylor expansion of re in im 15.069 * [backup-simplify]: Simplify re into re 15.070 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.070 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.070 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.070 * [taylor]: Taking taylor expansion of im in im 15.070 * [backup-simplify]: Simplify 0 into 0 15.070 * [backup-simplify]: Simplify 1 into 1 15.070 * [backup-simplify]: Simplify (/ 1 1) into 1 15.070 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.070 * [taylor]: Taking taylor expansion of im in im 15.070 * [backup-simplify]: Simplify 0 into 0 15.070 * [backup-simplify]: Simplify 1 into 1 15.071 * [backup-simplify]: Simplify (/ 1 1) into 1 15.071 * [backup-simplify]: Simplify (* 1 1) into 1 15.071 * [backup-simplify]: Simplify (+ 0 1) into 1 15.072 * [backup-simplify]: Simplify (sqrt 1) into 1 15.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.075 * [backup-simplify]: Simplify (+ 0 0) into 0 15.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.076 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.076 * [taylor]: Taking taylor expansion of re in re 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 1 into 1 15.076 * [backup-simplify]: Simplify (/ 1 1) into 1 15.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.076 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.076 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.076 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.076 * [taylor]: Taking taylor expansion of re in re 15.076 * [backup-simplify]: Simplify 0 into 0 15.076 * [backup-simplify]: Simplify 1 into 1 15.077 * [backup-simplify]: Simplify (/ 1 1) into 1 15.077 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.077 * [taylor]: Taking taylor expansion of re in re 15.077 * [backup-simplify]: Simplify 0 into 0 15.077 * [backup-simplify]: Simplify 1 into 1 15.077 * [backup-simplify]: Simplify (/ 1 1) into 1 15.077 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.077 * [taylor]: Taking taylor expansion of im in re 15.077 * [backup-simplify]: Simplify im into im 15.077 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.077 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.077 * [taylor]: Taking taylor expansion of im in re 15.077 * [backup-simplify]: Simplify im into im 15.078 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.078 * [backup-simplify]: Simplify (* 1 1) into 1 15.078 * [backup-simplify]: Simplify (+ 1 0) into 1 15.079 * [backup-simplify]: Simplify (sqrt 1) into 1 15.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.081 * [backup-simplify]: Simplify (+ 0 0) into 0 15.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.082 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.082 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.082 * [taylor]: Taking taylor expansion of re in re 15.082 * [backup-simplify]: Simplify 0 into 0 15.082 * [backup-simplify]: Simplify 1 into 1 15.083 * [backup-simplify]: Simplify (/ 1 1) into 1 15.083 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.083 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.083 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.083 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.083 * [taylor]: Taking taylor expansion of re in re 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 1 into 1 15.083 * [backup-simplify]: Simplify (/ 1 1) into 1 15.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.083 * [taylor]: Taking taylor expansion of re in re 15.083 * [backup-simplify]: Simplify 0 into 0 15.083 * [backup-simplify]: Simplify 1 into 1 15.084 * [backup-simplify]: Simplify (/ 1 1) into 1 15.084 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.084 * [taylor]: Taking taylor expansion of im in re 15.084 * [backup-simplify]: Simplify im into im 15.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.084 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.084 * [taylor]: Taking taylor expansion of im in re 15.084 * [backup-simplify]: Simplify im into im 15.084 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.084 * [backup-simplify]: Simplify (* 1 1) into 1 15.085 * [backup-simplify]: Simplify (+ 1 0) into 1 15.085 * [backup-simplify]: Simplify (sqrt 1) into 1 15.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.088 * [backup-simplify]: Simplify (+ 0 0) into 0 15.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.089 * [backup-simplify]: Simplify (+ 1 1) into 2 15.089 * [taylor]: Taking taylor expansion of 2 in im 15.089 * [backup-simplify]: Simplify 2 into 2 15.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.090 * [backup-simplify]: Simplify (+ 0 0) into 0 15.090 * [taylor]: Taking taylor expansion of 0 in im 15.090 * [backup-simplify]: Simplify 0 into 0 15.090 * [backup-simplify]: Simplify 2 into 2 15.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.095 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.096 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 15.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.096 * [taylor]: Taking taylor expansion of 1/2 in im 15.096 * [backup-simplify]: Simplify 1/2 into 1/2 15.096 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.096 * [taylor]: Taking taylor expansion of im in im 15.097 * [backup-simplify]: Simplify 0 into 0 15.097 * [backup-simplify]: Simplify 1 into 1 15.097 * [backup-simplify]: Simplify (* 1 1) into 1 15.097 * [backup-simplify]: Simplify (/ 1 1) into 1 15.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.105 * [backup-simplify]: Simplify 0 into 0 15.106 * [backup-simplify]: Simplify 0 into 0 15.106 * [backup-simplify]: Simplify 0 into 0 15.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.110 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.111 * [backup-simplify]: Simplify (+ 0 0) into 0 15.111 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.112 * [backup-simplify]: Simplify (+ 0 0) into 0 15.112 * [taylor]: Taking taylor expansion of 0 in im 15.112 * [backup-simplify]: Simplify 0 into 0 15.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify 0 into 0 15.115 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 15.115 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 15.115 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 15.115 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.115 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.115 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.115 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.115 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.115 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.115 * [taylor]: Taking taylor expansion of -1 in im 15.115 * [backup-simplify]: Simplify -1 into -1 15.115 * [taylor]: Taking taylor expansion of re in im 15.115 * [backup-simplify]: Simplify re into re 15.115 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.115 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.115 * [taylor]: Taking taylor expansion of -1 in im 15.115 * [backup-simplify]: Simplify -1 into -1 15.115 * [taylor]: Taking taylor expansion of re in im 15.116 * [backup-simplify]: Simplify re into re 15.116 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.116 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.116 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.116 * [taylor]: Taking taylor expansion of -1 in im 15.116 * [backup-simplify]: Simplify -1 into -1 15.116 * [taylor]: Taking taylor expansion of im in im 15.116 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [backup-simplify]: Simplify (/ -1 1) into -1 15.116 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.116 * [taylor]: Taking taylor expansion of -1 in im 15.116 * [backup-simplify]: Simplify -1 into -1 15.116 * [taylor]: Taking taylor expansion of im in im 15.116 * [backup-simplify]: Simplify 0 into 0 15.116 * [backup-simplify]: Simplify 1 into 1 15.116 * [backup-simplify]: Simplify (/ -1 1) into -1 15.117 * [backup-simplify]: Simplify (* -1 -1) into 1 15.117 * [backup-simplify]: Simplify (+ 0 1) into 1 15.117 * [backup-simplify]: Simplify (sqrt 1) into 1 15.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.119 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.119 * [backup-simplify]: Simplify (+ 0 0) into 0 15.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.119 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.119 * [taylor]: Taking taylor expansion of re in im 15.119 * [backup-simplify]: Simplify re into re 15.119 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.119 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.119 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.119 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.119 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.119 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.119 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.119 * [taylor]: Taking taylor expansion of -1 in re 15.119 * [backup-simplify]: Simplify -1 into -1 15.120 * [taylor]: Taking taylor expansion of re in re 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [backup-simplify]: Simplify (/ -1 1) into -1 15.120 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.120 * [taylor]: Taking taylor expansion of -1 in re 15.120 * [backup-simplify]: Simplify -1 into -1 15.120 * [taylor]: Taking taylor expansion of re in re 15.120 * [backup-simplify]: Simplify 0 into 0 15.120 * [backup-simplify]: Simplify 1 into 1 15.120 * [backup-simplify]: Simplify (/ -1 1) into -1 15.120 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.120 * [taylor]: Taking taylor expansion of -1 in re 15.120 * [backup-simplify]: Simplify -1 into -1 15.120 * [taylor]: Taking taylor expansion of im in re 15.120 * [backup-simplify]: Simplify im into im 15.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.120 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.120 * [taylor]: Taking taylor expansion of -1 in re 15.120 * [backup-simplify]: Simplify -1 into -1 15.120 * [taylor]: Taking taylor expansion of im in re 15.120 * [backup-simplify]: Simplify im into im 15.120 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.121 * [backup-simplify]: Simplify (* -1 -1) into 1 15.121 * [backup-simplify]: Simplify (+ 1 0) into 1 15.121 * [backup-simplify]: Simplify (sqrt 1) into 1 15.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.123 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.123 * [backup-simplify]: Simplify (+ 0 0) into 0 15.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.124 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.124 * [taylor]: Taking taylor expansion of re in re 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 1 into 1 15.124 * [backup-simplify]: Simplify (/ 1 1) into 1 15.124 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.124 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.124 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.124 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.124 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.124 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.124 * [taylor]: Taking taylor expansion of -1 in re 15.124 * [backup-simplify]: Simplify -1 into -1 15.124 * [taylor]: Taking taylor expansion of re in re 15.124 * [backup-simplify]: Simplify 0 into 0 15.124 * [backup-simplify]: Simplify 1 into 1 15.124 * [backup-simplify]: Simplify (/ -1 1) into -1 15.125 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.125 * [taylor]: Taking taylor expansion of -1 in re 15.125 * [backup-simplify]: Simplify -1 into -1 15.125 * [taylor]: Taking taylor expansion of re in re 15.125 * [backup-simplify]: Simplify 0 into 0 15.125 * [backup-simplify]: Simplify 1 into 1 15.125 * [backup-simplify]: Simplify (/ -1 1) into -1 15.125 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.125 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.125 * [taylor]: Taking taylor expansion of -1 in re 15.125 * [backup-simplify]: Simplify -1 into -1 15.125 * [taylor]: Taking taylor expansion of im in re 15.125 * [backup-simplify]: Simplify im into im 15.125 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.125 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.125 * [taylor]: Taking taylor expansion of -1 in re 15.125 * [backup-simplify]: Simplify -1 into -1 15.125 * [taylor]: Taking taylor expansion of im in re 15.125 * [backup-simplify]: Simplify im into im 15.125 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.125 * [backup-simplify]: Simplify (* -1 -1) into 1 15.126 * [backup-simplify]: Simplify (+ 1 0) into 1 15.126 * [backup-simplify]: Simplify (sqrt 1) into 1 15.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.127 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.128 * [backup-simplify]: Simplify (+ 0 0) into 0 15.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.128 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.128 * [taylor]: Taking taylor expansion of re in re 15.128 * [backup-simplify]: Simplify 0 into 0 15.128 * [backup-simplify]: Simplify 1 into 1 15.128 * [backup-simplify]: Simplify (/ 1 1) into 1 15.129 * [backup-simplify]: Simplify (- 1) into -1 15.129 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.129 * [taylor]: Taking taylor expansion of 0 in im 15.129 * [backup-simplify]: Simplify 0 into 0 15.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.130 * [backup-simplify]: Simplify (- 0) into 0 15.130 * [backup-simplify]: Simplify (+ 0 0) into 0 15.130 * [taylor]: Taking taylor expansion of 0 in im 15.130 * [backup-simplify]: Simplify 0 into 0 15.130 * [backup-simplify]: Simplify 0 into 0 15.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.132 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.132 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.132 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.133 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.133 * [backup-simplify]: Simplify (- 0) into 0 15.133 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.133 * [taylor]: Taking taylor expansion of 1/2 in im 15.133 * [backup-simplify]: Simplify 1/2 into 1/2 15.133 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.133 * [taylor]: Taking taylor expansion of im in im 15.133 * [backup-simplify]: Simplify 0 into 0 15.133 * [backup-simplify]: Simplify 1 into 1 15.134 * [backup-simplify]: Simplify (* 1 1) into 1 15.134 * [backup-simplify]: Simplify (/ 1 1) into 1 15.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.135 * [backup-simplify]: Simplify 0 into 0 15.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.137 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.137 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.137 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.138 * [backup-simplify]: Simplify (+ 0 0) into 0 15.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.139 * [backup-simplify]: Simplify (- 0) into 0 15.139 * [backup-simplify]: Simplify (+ 0 0) into 0 15.139 * [taylor]: Taking taylor expansion of 0 in im 15.139 * [backup-simplify]: Simplify 0 into 0 15.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 1 1 1) 15.141 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 15.141 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 15.141 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 15.141 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.141 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.141 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.141 * [taylor]: Taking taylor expansion of (* re re) in im 15.141 * [taylor]: Taking taylor expansion of re in im 15.141 * [backup-simplify]: Simplify re into re 15.141 * [taylor]: Taking taylor expansion of re in im 15.141 * [backup-simplify]: Simplify re into re 15.141 * [taylor]: Taking taylor expansion of (* im im) in im 15.141 * [taylor]: Taking taylor expansion of im in im 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify 1 into 1 15.141 * [taylor]: Taking taylor expansion of im in im 15.141 * [backup-simplify]: Simplify 0 into 0 15.141 * [backup-simplify]: Simplify 1 into 1 15.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.141 * [backup-simplify]: Simplify (* 0 0) into 0 15.142 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.142 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.142 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.142 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.142 * [backup-simplify]: Simplify (+ 0 0) into 0 15.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.142 * [taylor]: Taking taylor expansion of re in im 15.142 * [backup-simplify]: Simplify re into re 15.142 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.142 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.142 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.142 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.143 * [taylor]: Taking taylor expansion of (* re re) in re 15.143 * [taylor]: Taking taylor expansion of re in re 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify 1 into 1 15.143 * [taylor]: Taking taylor expansion of re in re 15.143 * [backup-simplify]: Simplify 0 into 0 15.143 * [backup-simplify]: Simplify 1 into 1 15.143 * [taylor]: Taking taylor expansion of (* im im) in re 15.143 * [taylor]: Taking taylor expansion of im in re 15.143 * [backup-simplify]: Simplify im into im 15.143 * [taylor]: Taking taylor expansion of im in re 15.143 * [backup-simplify]: Simplify im into im 15.143 * [backup-simplify]: Simplify (* 0 0) into 0 15.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.143 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.143 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.143 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.144 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.144 * [backup-simplify]: Simplify (+ 0 0) into 0 15.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.144 * [taylor]: Taking taylor expansion of re in re 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify 1 into 1 15.144 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.144 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.144 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.144 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.144 * [taylor]: Taking taylor expansion of (* re re) in re 15.144 * [taylor]: Taking taylor expansion of re in re 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify 1 into 1 15.144 * [taylor]: Taking taylor expansion of re in re 15.144 * [backup-simplify]: Simplify 0 into 0 15.144 * [backup-simplify]: Simplify 1 into 1 15.144 * [taylor]: Taking taylor expansion of (* im im) in re 15.144 * [taylor]: Taking taylor expansion of im in re 15.144 * [backup-simplify]: Simplify im into im 15.144 * [taylor]: Taking taylor expansion of im in re 15.145 * [backup-simplify]: Simplify im into im 15.145 * [backup-simplify]: Simplify (* 0 0) into 0 15.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.146 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.146 * [backup-simplify]: Simplify (+ 0 0) into 0 15.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.146 * [taylor]: Taking taylor expansion of re in re 15.146 * [backup-simplify]: Simplify 0 into 0 15.146 * [backup-simplify]: Simplify 1 into 1 15.147 * [backup-simplify]: Simplify (+ im 0) into im 15.147 * [taylor]: Taking taylor expansion of im in im 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [backup-simplify]: Simplify 1 into 1 15.147 * [backup-simplify]: Simplify 0 into 0 15.147 * [backup-simplify]: Simplify (+ 0 1) into 1 15.147 * [taylor]: Taking taylor expansion of 1 in im 15.147 * [backup-simplify]: Simplify 1 into 1 15.147 * [backup-simplify]: Simplify 1 into 1 15.147 * [backup-simplify]: Simplify 1 into 1 15.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.149 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.149 * [backup-simplify]: Simplify (+ 1 0) into 1 15.150 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.150 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 15.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 15.150 * [taylor]: Taking taylor expansion of 1/2 in im 15.150 * [backup-simplify]: Simplify 1/2 into 1/2 15.150 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.150 * [taylor]: Taking taylor expansion of im in im 15.150 * [backup-simplify]: Simplify 0 into 0 15.150 * [backup-simplify]: Simplify 1 into 1 15.151 * [backup-simplify]: Simplify (/ 1 1) into 1 15.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.152 * [backup-simplify]: Simplify 0 into 0 15.152 * [backup-simplify]: Simplify 0 into 0 15.152 * [backup-simplify]: Simplify 0 into 0 15.153 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.155 * [backup-simplify]: Simplify (+ 0 0) into 0 15.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.155 * [backup-simplify]: Simplify (+ 0 0) into 0 15.156 * [taylor]: Taking taylor expansion of 0 in im 15.156 * [backup-simplify]: Simplify 0 into 0 15.156 * [backup-simplify]: Simplify 0 into 0 15.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.158 * [backup-simplify]: Simplify 0 into 0 15.158 * [backup-simplify]: Simplify 0 into 0 15.158 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 15.158 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 15.158 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 15.158 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 15.158 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.158 * [taylor]: Taking taylor expansion of re in im 15.158 * [backup-simplify]: Simplify re into re 15.158 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.158 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.159 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.159 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.159 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.159 * [taylor]: Taking taylor expansion of re in im 15.159 * [backup-simplify]: Simplify re into re 15.159 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.159 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.159 * [taylor]: Taking taylor expansion of re in im 15.159 * [backup-simplify]: Simplify re into re 15.159 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.159 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.159 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.159 * [taylor]: Taking taylor expansion of im in im 15.159 * [backup-simplify]: Simplify 0 into 0 15.159 * [backup-simplify]: Simplify 1 into 1 15.159 * [backup-simplify]: Simplify (/ 1 1) into 1 15.159 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.160 * [taylor]: Taking taylor expansion of im in im 15.160 * [backup-simplify]: Simplify 0 into 0 15.160 * [backup-simplify]: Simplify 1 into 1 15.160 * [backup-simplify]: Simplify (/ 1 1) into 1 15.160 * [backup-simplify]: Simplify (* 1 1) into 1 15.161 * [backup-simplify]: Simplify (+ 0 1) into 1 15.161 * [backup-simplify]: Simplify (sqrt 1) into 1 15.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.164 * [backup-simplify]: Simplify (+ 0 0) into 0 15.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.164 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.164 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.165 * [taylor]: Taking taylor expansion of re in re 15.165 * [backup-simplify]: Simplify 0 into 0 15.165 * [backup-simplify]: Simplify 1 into 1 15.165 * [backup-simplify]: Simplify (/ 1 1) into 1 15.165 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.165 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.165 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.165 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.165 * [taylor]: Taking taylor expansion of re in re 15.165 * [backup-simplify]: Simplify 0 into 0 15.165 * [backup-simplify]: Simplify 1 into 1 15.166 * [backup-simplify]: Simplify (/ 1 1) into 1 15.166 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.166 * [taylor]: Taking taylor expansion of re in re 15.166 * [backup-simplify]: Simplify 0 into 0 15.166 * [backup-simplify]: Simplify 1 into 1 15.166 * [backup-simplify]: Simplify (/ 1 1) into 1 15.166 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.166 * [taylor]: Taking taylor expansion of im in re 15.166 * [backup-simplify]: Simplify im into im 15.166 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.166 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.166 * [taylor]: Taking taylor expansion of im in re 15.166 * [backup-simplify]: Simplify im into im 15.166 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.167 * [backup-simplify]: Simplify (* 1 1) into 1 15.167 * [backup-simplify]: Simplify (+ 1 0) into 1 15.168 * [backup-simplify]: Simplify (sqrt 1) into 1 15.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.170 * [backup-simplify]: Simplify (+ 0 0) into 0 15.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.171 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.171 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.171 * [taylor]: Taking taylor expansion of re in re 15.171 * [backup-simplify]: Simplify 0 into 0 15.171 * [backup-simplify]: Simplify 1 into 1 15.171 * [backup-simplify]: Simplify (/ 1 1) into 1 15.171 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.171 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.171 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.171 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.172 * [taylor]: Taking taylor expansion of re in re 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 1 into 1 15.172 * [backup-simplify]: Simplify (/ 1 1) into 1 15.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.172 * [taylor]: Taking taylor expansion of re in re 15.172 * [backup-simplify]: Simplify 0 into 0 15.172 * [backup-simplify]: Simplify 1 into 1 15.173 * [backup-simplify]: Simplify (/ 1 1) into 1 15.173 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.173 * [taylor]: Taking taylor expansion of im in re 15.173 * [backup-simplify]: Simplify im into im 15.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.173 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.173 * [taylor]: Taking taylor expansion of im in re 15.173 * [backup-simplify]: Simplify im into im 15.173 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.173 * [backup-simplify]: Simplify (* 1 1) into 1 15.174 * [backup-simplify]: Simplify (+ 1 0) into 1 15.174 * [backup-simplify]: Simplify (sqrt 1) into 1 15.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.177 * [backup-simplify]: Simplify (+ 0 0) into 0 15.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.178 * [backup-simplify]: Simplify (+ 1 1) into 2 15.178 * [taylor]: Taking taylor expansion of 2 in im 15.178 * [backup-simplify]: Simplify 2 into 2 15.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.179 * [backup-simplify]: Simplify (+ 0 0) into 0 15.179 * [taylor]: Taking taylor expansion of 0 in im 15.179 * [backup-simplify]: Simplify 0 into 0 15.179 * [backup-simplify]: Simplify 2 into 2 15.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.183 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.183 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.184 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.184 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 15.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.184 * [taylor]: Taking taylor expansion of 1/2 in im 15.185 * [backup-simplify]: Simplify 1/2 into 1/2 15.185 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.185 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.185 * [taylor]: Taking taylor expansion of im in im 15.185 * [backup-simplify]: Simplify 0 into 0 15.185 * [backup-simplify]: Simplify 1 into 1 15.185 * [backup-simplify]: Simplify (* 1 1) into 1 15.185 * [backup-simplify]: Simplify (/ 1 1) into 1 15.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.188 * [backup-simplify]: Simplify 0 into 0 15.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.192 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.193 * [backup-simplify]: Simplify (+ 0 0) into 0 15.193 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.194 * [backup-simplify]: Simplify (+ 0 0) into 0 15.194 * [taylor]: Taking taylor expansion of 0 in im 15.194 * [backup-simplify]: Simplify 0 into 0 15.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify 0 into 0 15.197 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 15.197 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 15.197 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 15.197 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.197 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.198 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.198 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.198 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.198 * [taylor]: Taking taylor expansion of -1 in im 15.198 * [backup-simplify]: Simplify -1 into -1 15.198 * [taylor]: Taking taylor expansion of re in im 15.198 * [backup-simplify]: Simplify re into re 15.198 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.198 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.198 * [taylor]: Taking taylor expansion of -1 in im 15.198 * [backup-simplify]: Simplify -1 into -1 15.198 * [taylor]: Taking taylor expansion of re in im 15.198 * [backup-simplify]: Simplify re into re 15.198 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.198 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.198 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.198 * [taylor]: Taking taylor expansion of -1 in im 15.198 * [backup-simplify]: Simplify -1 into -1 15.198 * [taylor]: Taking taylor expansion of im in im 15.198 * [backup-simplify]: Simplify 0 into 0 15.198 * [backup-simplify]: Simplify 1 into 1 15.199 * [backup-simplify]: Simplify (/ -1 1) into -1 15.199 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.199 * [taylor]: Taking taylor expansion of -1 in im 15.199 * [backup-simplify]: Simplify -1 into -1 15.199 * [taylor]: Taking taylor expansion of im in im 15.199 * [backup-simplify]: Simplify 0 into 0 15.199 * [backup-simplify]: Simplify 1 into 1 15.199 * [backup-simplify]: Simplify (/ -1 1) into -1 15.200 * [backup-simplify]: Simplify (* -1 -1) into 1 15.200 * [backup-simplify]: Simplify (+ 0 1) into 1 15.200 * [backup-simplify]: Simplify (sqrt 1) into 1 15.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.203 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.203 * [backup-simplify]: Simplify (+ 0 0) into 0 15.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.204 * [taylor]: Taking taylor expansion of re in im 15.204 * [backup-simplify]: Simplify re into re 15.204 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.204 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.204 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.204 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.204 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.204 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.204 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.204 * [taylor]: Taking taylor expansion of -1 in re 15.204 * [backup-simplify]: Simplify -1 into -1 15.204 * [taylor]: Taking taylor expansion of re in re 15.204 * [backup-simplify]: Simplify 0 into 0 15.204 * [backup-simplify]: Simplify 1 into 1 15.205 * [backup-simplify]: Simplify (/ -1 1) into -1 15.205 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.205 * [taylor]: Taking taylor expansion of -1 in re 15.205 * [backup-simplify]: Simplify -1 into -1 15.205 * [taylor]: Taking taylor expansion of re in re 15.205 * [backup-simplify]: Simplify 0 into 0 15.205 * [backup-simplify]: Simplify 1 into 1 15.205 * [backup-simplify]: Simplify (/ -1 1) into -1 15.206 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.206 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.206 * [taylor]: Taking taylor expansion of -1 in re 15.206 * [backup-simplify]: Simplify -1 into -1 15.206 * [taylor]: Taking taylor expansion of im in re 15.206 * [backup-simplify]: Simplify im into im 15.206 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.206 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.206 * [taylor]: Taking taylor expansion of -1 in re 15.206 * [backup-simplify]: Simplify -1 into -1 15.206 * [taylor]: Taking taylor expansion of im in re 15.206 * [backup-simplify]: Simplify im into im 15.206 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.206 * [backup-simplify]: Simplify (* -1 -1) into 1 15.207 * [backup-simplify]: Simplify (+ 1 0) into 1 15.207 * [backup-simplify]: Simplify (sqrt 1) into 1 15.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.210 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.210 * [backup-simplify]: Simplify (+ 0 0) into 0 15.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.211 * [taylor]: Taking taylor expansion of re in re 15.211 * [backup-simplify]: Simplify 0 into 0 15.211 * [backup-simplify]: Simplify 1 into 1 15.211 * [backup-simplify]: Simplify (/ 1 1) into 1 15.211 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.211 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.211 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.211 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.211 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.211 * [taylor]: Taking taylor expansion of -1 in re 15.211 * [backup-simplify]: Simplify -1 into -1 15.211 * [taylor]: Taking taylor expansion of re in re 15.211 * [backup-simplify]: Simplify 0 into 0 15.211 * [backup-simplify]: Simplify 1 into 1 15.212 * [backup-simplify]: Simplify (/ -1 1) into -1 15.212 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.212 * [taylor]: Taking taylor expansion of -1 in re 15.212 * [backup-simplify]: Simplify -1 into -1 15.212 * [taylor]: Taking taylor expansion of re in re 15.212 * [backup-simplify]: Simplify 0 into 0 15.212 * [backup-simplify]: Simplify 1 into 1 15.212 * [backup-simplify]: Simplify (/ -1 1) into -1 15.213 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.213 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.213 * [taylor]: Taking taylor expansion of -1 in re 15.213 * [backup-simplify]: Simplify -1 into -1 15.213 * [taylor]: Taking taylor expansion of im in re 15.213 * [backup-simplify]: Simplify im into im 15.213 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.213 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.213 * [taylor]: Taking taylor expansion of -1 in re 15.213 * [backup-simplify]: Simplify -1 into -1 15.213 * [taylor]: Taking taylor expansion of im in re 15.213 * [backup-simplify]: Simplify im into im 15.213 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.213 * [backup-simplify]: Simplify (* -1 -1) into 1 15.214 * [backup-simplify]: Simplify (+ 1 0) into 1 15.214 * [backup-simplify]: Simplify (sqrt 1) into 1 15.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.217 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.217 * [backup-simplify]: Simplify (+ 0 0) into 0 15.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.218 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.218 * [taylor]: Taking taylor expansion of re in re 15.218 * [backup-simplify]: Simplify 0 into 0 15.218 * [backup-simplify]: Simplify 1 into 1 15.219 * [backup-simplify]: Simplify (/ 1 1) into 1 15.219 * [backup-simplify]: Simplify (- 1) into -1 15.219 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.219 * [taylor]: Taking taylor expansion of 0 in im 15.219 * [backup-simplify]: Simplify 0 into 0 15.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.221 * [backup-simplify]: Simplify (- 0) into 0 15.221 * [backup-simplify]: Simplify (+ 0 0) into 0 15.221 * [taylor]: Taking taylor expansion of 0 in im 15.221 * [backup-simplify]: Simplify 0 into 0 15.221 * [backup-simplify]: Simplify 0 into 0 15.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.224 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.224 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.226 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.227 * [backup-simplify]: Simplify (- 0) into 0 15.227 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.227 * [taylor]: Taking taylor expansion of 1/2 in im 15.227 * [backup-simplify]: Simplify 1/2 into 1/2 15.227 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.227 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.227 * [taylor]: Taking taylor expansion of im in im 15.227 * [backup-simplify]: Simplify 0 into 0 15.227 * [backup-simplify]: Simplify 1 into 1 15.228 * [backup-simplify]: Simplify (* 1 1) into 1 15.228 * [backup-simplify]: Simplify (/ 1 1) into 1 15.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.230 * [backup-simplify]: Simplify 0 into 0 15.230 * [backup-simplify]: Simplify 0 into 0 15.231 * [backup-simplify]: Simplify 0 into 0 15.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.234 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.234 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.234 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.234 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.235 * [backup-simplify]: Simplify (+ 0 0) into 0 15.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.242 * [backup-simplify]: Simplify (- 0) into 0 15.242 * [backup-simplify]: Simplify (+ 0 0) into 0 15.242 * [taylor]: Taking taylor expansion of 0 in im 15.242 * [backup-simplify]: Simplify 0 into 0 15.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.246 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1 1 1) 15.246 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 15.246 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 15.246 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 15.246 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.246 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.246 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.246 * [taylor]: Taking taylor expansion of (* re re) in im 15.246 * [taylor]: Taking taylor expansion of re in im 15.246 * [backup-simplify]: Simplify re into re 15.246 * [taylor]: Taking taylor expansion of re in im 15.246 * [backup-simplify]: Simplify re into re 15.246 * [taylor]: Taking taylor expansion of (* im im) in im 15.246 * [taylor]: Taking taylor expansion of im in im 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 1 into 1 15.246 * [taylor]: Taking taylor expansion of im in im 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 1 into 1 15.246 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.247 * [backup-simplify]: Simplify (* 0 0) into 0 15.247 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.247 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.247 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.248 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.248 * [backup-simplify]: Simplify (+ 0 0) into 0 15.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.248 * [taylor]: Taking taylor expansion of re in im 15.248 * [backup-simplify]: Simplify re into re 15.248 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.248 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.249 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.249 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.249 * [taylor]: Taking taylor expansion of (* re re) in re 15.249 * [taylor]: Taking taylor expansion of re in re 15.249 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify 1 into 1 15.249 * [taylor]: Taking taylor expansion of re in re 15.249 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify 1 into 1 15.249 * [taylor]: Taking taylor expansion of (* im im) in re 15.249 * [taylor]: Taking taylor expansion of im in re 15.249 * [backup-simplify]: Simplify im into im 15.249 * [taylor]: Taking taylor expansion of im in re 15.249 * [backup-simplify]: Simplify im into im 15.249 * [backup-simplify]: Simplify (* 0 0) into 0 15.249 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.249 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.250 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.250 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.250 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.251 * [backup-simplify]: Simplify (+ 0 0) into 0 15.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.251 * [taylor]: Taking taylor expansion of re in re 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.251 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.251 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.251 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.251 * [taylor]: Taking taylor expansion of (* re re) in re 15.251 * [taylor]: Taking taylor expansion of re in re 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [taylor]: Taking taylor expansion of re in re 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 1 into 1 15.251 * [taylor]: Taking taylor expansion of (* im im) in re 15.251 * [taylor]: Taking taylor expansion of im in re 15.251 * [backup-simplify]: Simplify im into im 15.251 * [taylor]: Taking taylor expansion of im in re 15.251 * [backup-simplify]: Simplify im into im 15.252 * [backup-simplify]: Simplify (* 0 0) into 0 15.252 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.252 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.252 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.253 * [backup-simplify]: Simplify (+ 0 0) into 0 15.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.253 * [taylor]: Taking taylor expansion of re in re 15.253 * [backup-simplify]: Simplify 0 into 0 15.253 * [backup-simplify]: Simplify 1 into 1 15.253 * [backup-simplify]: Simplify (+ im 0) into im 15.253 * [taylor]: Taking taylor expansion of im in im 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 1 into 1 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify (+ 0 1) into 1 15.254 * [taylor]: Taking taylor expansion of 1 in im 15.254 * [backup-simplify]: Simplify 1 into 1 15.254 * [backup-simplify]: Simplify 1 into 1 15.254 * [backup-simplify]: Simplify 1 into 1 15.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.256 * [backup-simplify]: Simplify (+ 1 0) into 1 15.257 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.257 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 15.257 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 15.257 * [taylor]: Taking taylor expansion of 1/2 in im 15.257 * [backup-simplify]: Simplify 1/2 into 1/2 15.257 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.257 * [taylor]: Taking taylor expansion of im in im 15.257 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify 1 into 1 15.257 * [backup-simplify]: Simplify (/ 1 1) into 1 15.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.261 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.261 * [backup-simplify]: Simplify (+ 0 0) into 0 15.261 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.262 * [backup-simplify]: Simplify (+ 0 0) into 0 15.262 * [taylor]: Taking taylor expansion of 0 in im 15.262 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 15.265 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 15.265 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 15.265 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 15.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.265 * [taylor]: Taking taylor expansion of re in im 15.265 * [backup-simplify]: Simplify re into re 15.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.265 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.265 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.265 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.265 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.265 * [taylor]: Taking taylor expansion of re in im 15.265 * [backup-simplify]: Simplify re into re 15.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.265 * [taylor]: Taking taylor expansion of re in im 15.265 * [backup-simplify]: Simplify re into re 15.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.265 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.265 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.265 * [taylor]: Taking taylor expansion of im in im 15.265 * [backup-simplify]: Simplify 0 into 0 15.266 * [backup-simplify]: Simplify 1 into 1 15.266 * [backup-simplify]: Simplify (/ 1 1) into 1 15.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.266 * [taylor]: Taking taylor expansion of im in im 15.266 * [backup-simplify]: Simplify 0 into 0 15.266 * [backup-simplify]: Simplify 1 into 1 15.267 * [backup-simplify]: Simplify (/ 1 1) into 1 15.267 * [backup-simplify]: Simplify (* 1 1) into 1 15.268 * [backup-simplify]: Simplify (+ 0 1) into 1 15.268 * [backup-simplify]: Simplify (sqrt 1) into 1 15.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.271 * [backup-simplify]: Simplify (+ 0 0) into 0 15.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.271 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.271 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.271 * [taylor]: Taking taylor expansion of re in re 15.271 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify 1 into 1 15.272 * [backup-simplify]: Simplify (/ 1 1) into 1 15.272 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.272 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.272 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.272 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.272 * [taylor]: Taking taylor expansion of re in re 15.272 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify 1 into 1 15.273 * [backup-simplify]: Simplify (/ 1 1) into 1 15.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.273 * [taylor]: Taking taylor expansion of re in re 15.273 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify 1 into 1 15.273 * [backup-simplify]: Simplify (/ 1 1) into 1 15.273 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.273 * [taylor]: Taking taylor expansion of im in re 15.273 * [backup-simplify]: Simplify im into im 15.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.273 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.273 * [taylor]: Taking taylor expansion of im in re 15.273 * [backup-simplify]: Simplify im into im 15.273 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.274 * [backup-simplify]: Simplify (* 1 1) into 1 15.274 * [backup-simplify]: Simplify (+ 1 0) into 1 15.274 * [backup-simplify]: Simplify (sqrt 1) into 1 15.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.277 * [backup-simplify]: Simplify (+ 0 0) into 0 15.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.278 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.278 * [taylor]: Taking taylor expansion of re in re 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 1 into 1 15.278 * [backup-simplify]: Simplify (/ 1 1) into 1 15.278 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.278 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.278 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.278 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.278 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.278 * [taylor]: Taking taylor expansion of re in re 15.279 * [backup-simplify]: Simplify 0 into 0 15.279 * [backup-simplify]: Simplify 1 into 1 15.279 * [backup-simplify]: Simplify (/ 1 1) into 1 15.279 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.279 * [taylor]: Taking taylor expansion of re in re 15.279 * [backup-simplify]: Simplify 0 into 0 15.279 * [backup-simplify]: Simplify 1 into 1 15.279 * [backup-simplify]: Simplify (/ 1 1) into 1 15.279 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.279 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.279 * [taylor]: Taking taylor expansion of im in re 15.280 * [backup-simplify]: Simplify im into im 15.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.280 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.280 * [taylor]: Taking taylor expansion of im in re 15.280 * [backup-simplify]: Simplify im into im 15.280 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.280 * [backup-simplify]: Simplify (* 1 1) into 1 15.281 * [backup-simplify]: Simplify (+ 1 0) into 1 15.281 * [backup-simplify]: Simplify (sqrt 1) into 1 15.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.283 * [backup-simplify]: Simplify (+ 0 0) into 0 15.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.285 * [backup-simplify]: Simplify (+ 1 1) into 2 15.285 * [taylor]: Taking taylor expansion of 2 in im 15.285 * [backup-simplify]: Simplify 2 into 2 15.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.286 * [backup-simplify]: Simplify (+ 0 0) into 0 15.286 * [taylor]: Taking taylor expansion of 0 in im 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify 2 into 2 15.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.290 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.290 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.291 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.291 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 15.292 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.292 * [taylor]: Taking taylor expansion of 1/2 in im 15.292 * [backup-simplify]: Simplify 1/2 into 1/2 15.292 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.292 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.292 * [taylor]: Taking taylor expansion of im in im 15.292 * [backup-simplify]: Simplify 0 into 0 15.292 * [backup-simplify]: Simplify 1 into 1 15.292 * [backup-simplify]: Simplify (* 1 1) into 1 15.293 * [backup-simplify]: Simplify (/ 1 1) into 1 15.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.295 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.295 * [backup-simplify]: Simplify 0 into 0 15.295 * [backup-simplify]: Simplify 0 into 0 15.295 * [backup-simplify]: Simplify 0 into 0 15.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.299 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.300 * [backup-simplify]: Simplify (+ 0 0) into 0 15.300 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.301 * [backup-simplify]: Simplify (+ 0 0) into 0 15.301 * [taylor]: Taking taylor expansion of 0 in im 15.301 * [backup-simplify]: Simplify 0 into 0 15.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 15.304 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 15.304 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 15.304 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.304 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.304 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.304 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.304 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.305 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.305 * [taylor]: Taking taylor expansion of -1 in im 15.305 * [backup-simplify]: Simplify -1 into -1 15.305 * [taylor]: Taking taylor expansion of re in im 15.305 * [backup-simplify]: Simplify re into re 15.305 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.305 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.305 * [taylor]: Taking taylor expansion of -1 in im 15.305 * [backup-simplify]: Simplify -1 into -1 15.305 * [taylor]: Taking taylor expansion of re in im 15.305 * [backup-simplify]: Simplify re into re 15.305 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.305 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.305 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.305 * [taylor]: Taking taylor expansion of -1 in im 15.305 * [backup-simplify]: Simplify -1 into -1 15.305 * [taylor]: Taking taylor expansion of im in im 15.305 * [backup-simplify]: Simplify 0 into 0 15.305 * [backup-simplify]: Simplify 1 into 1 15.306 * [backup-simplify]: Simplify (/ -1 1) into -1 15.306 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.306 * [taylor]: Taking taylor expansion of -1 in im 15.306 * [backup-simplify]: Simplify -1 into -1 15.306 * [taylor]: Taking taylor expansion of im in im 15.306 * [backup-simplify]: Simplify 0 into 0 15.306 * [backup-simplify]: Simplify 1 into 1 15.306 * [backup-simplify]: Simplify (/ -1 1) into -1 15.307 * [backup-simplify]: Simplify (* -1 -1) into 1 15.307 * [backup-simplify]: Simplify (+ 0 1) into 1 15.307 * [backup-simplify]: Simplify (sqrt 1) into 1 15.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.310 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.310 * [backup-simplify]: Simplify (+ 0 0) into 0 15.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.311 * [taylor]: Taking taylor expansion of re in im 15.311 * [backup-simplify]: Simplify re into re 15.311 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.311 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.311 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.311 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.311 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.311 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.311 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.311 * [taylor]: Taking taylor expansion of -1 in re 15.311 * [backup-simplify]: Simplify -1 into -1 15.311 * [taylor]: Taking taylor expansion of re in re 15.312 * [backup-simplify]: Simplify 0 into 0 15.312 * [backup-simplify]: Simplify 1 into 1 15.312 * [backup-simplify]: Simplify (/ -1 1) into -1 15.312 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.312 * [taylor]: Taking taylor expansion of -1 in re 15.312 * [backup-simplify]: Simplify -1 into -1 15.312 * [taylor]: Taking taylor expansion of re in re 15.312 * [backup-simplify]: Simplify 0 into 0 15.312 * [backup-simplify]: Simplify 1 into 1 15.313 * [backup-simplify]: Simplify (/ -1 1) into -1 15.313 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.313 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.313 * [taylor]: Taking taylor expansion of -1 in re 15.313 * [backup-simplify]: Simplify -1 into -1 15.313 * [taylor]: Taking taylor expansion of im in re 15.313 * [backup-simplify]: Simplify im into im 15.313 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.313 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.313 * [taylor]: Taking taylor expansion of -1 in re 15.313 * [backup-simplify]: Simplify -1 into -1 15.313 * [taylor]: Taking taylor expansion of im in re 15.313 * [backup-simplify]: Simplify im into im 15.313 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.313 * [backup-simplify]: Simplify (* -1 -1) into 1 15.314 * [backup-simplify]: Simplify (+ 1 0) into 1 15.314 * [backup-simplify]: Simplify (sqrt 1) into 1 15.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.317 * [backup-simplify]: Simplify (+ 0 0) into 0 15.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.318 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.318 * [taylor]: Taking taylor expansion of re in re 15.318 * [backup-simplify]: Simplify 0 into 0 15.318 * [backup-simplify]: Simplify 1 into 1 15.318 * [backup-simplify]: Simplify (/ 1 1) into 1 15.318 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.318 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.319 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.319 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.319 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.319 * [taylor]: Taking taylor expansion of -1 in re 15.319 * [backup-simplify]: Simplify -1 into -1 15.319 * [taylor]: Taking taylor expansion of re in re 15.319 * [backup-simplify]: Simplify 0 into 0 15.319 * [backup-simplify]: Simplify 1 into 1 15.319 * [backup-simplify]: Simplify (/ -1 1) into -1 15.319 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.319 * [taylor]: Taking taylor expansion of -1 in re 15.319 * [backup-simplify]: Simplify -1 into -1 15.319 * [taylor]: Taking taylor expansion of re in re 15.319 * [backup-simplify]: Simplify 0 into 0 15.319 * [backup-simplify]: Simplify 1 into 1 15.320 * [backup-simplify]: Simplify (/ -1 1) into -1 15.320 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.320 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.320 * [taylor]: Taking taylor expansion of -1 in re 15.320 * [backup-simplify]: Simplify -1 into -1 15.320 * [taylor]: Taking taylor expansion of im in re 15.320 * [backup-simplify]: Simplify im into im 15.320 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.320 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.320 * [taylor]: Taking taylor expansion of -1 in re 15.320 * [backup-simplify]: Simplify -1 into -1 15.320 * [taylor]: Taking taylor expansion of im in re 15.320 * [backup-simplify]: Simplify im into im 15.320 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.320 * [backup-simplify]: Simplify (* -1 -1) into 1 15.321 * [backup-simplify]: Simplify (+ 1 0) into 1 15.321 * [backup-simplify]: Simplify (sqrt 1) into 1 15.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.324 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.324 * [backup-simplify]: Simplify (+ 0 0) into 0 15.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.325 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.325 * [taylor]: Taking taylor expansion of re in re 15.325 * [backup-simplify]: Simplify 0 into 0 15.325 * [backup-simplify]: Simplify 1 into 1 15.325 * [backup-simplify]: Simplify (/ 1 1) into 1 15.326 * [backup-simplify]: Simplify (- 1) into -1 15.326 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.326 * [taylor]: Taking taylor expansion of 0 in im 15.326 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.327 * [backup-simplify]: Simplify (- 0) into 0 15.328 * [backup-simplify]: Simplify (+ 0 0) into 0 15.328 * [taylor]: Taking taylor expansion of 0 in im 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify 0 into 0 15.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.331 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.331 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.331 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.332 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.334 * [backup-simplify]: Simplify (- 0) into 0 15.334 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.334 * [taylor]: Taking taylor expansion of 1/2 in im 15.334 * [backup-simplify]: Simplify 1/2 into 1/2 15.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.334 * [taylor]: Taking taylor expansion of im in im 15.334 * [backup-simplify]: Simplify 0 into 0 15.334 * [backup-simplify]: Simplify 1 into 1 15.334 * [backup-simplify]: Simplify (* 1 1) into 1 15.335 * [backup-simplify]: Simplify (/ 1 1) into 1 15.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.340 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.340 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.340 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.340 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.341 * [backup-simplify]: Simplify (+ 0 0) into 0 15.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.343 * [backup-simplify]: Simplify (- 0) into 0 15.343 * [backup-simplify]: Simplify (+ 0 0) into 0 15.343 * [taylor]: Taking taylor expansion of 0 in im 15.343 * [backup-simplify]: Simplify 0 into 0 15.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.346 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 1) 15.346 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 15.346 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 15.346 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 15.346 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.346 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.346 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.346 * [taylor]: Taking taylor expansion of (* re re) in im 15.346 * [taylor]: Taking taylor expansion of re in im 15.346 * [backup-simplify]: Simplify re into re 15.346 * [taylor]: Taking taylor expansion of re in im 15.346 * [backup-simplify]: Simplify re into re 15.346 * [taylor]: Taking taylor expansion of (* im im) in im 15.346 * [taylor]: Taking taylor expansion of im in im 15.346 * [backup-simplify]: Simplify 0 into 0 15.346 * [backup-simplify]: Simplify 1 into 1 15.346 * [taylor]: Taking taylor expansion of im in im 15.347 * [backup-simplify]: Simplify 0 into 0 15.347 * [backup-simplify]: Simplify 1 into 1 15.347 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.347 * [backup-simplify]: Simplify (* 0 0) into 0 15.347 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.347 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.347 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.348 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.348 * [backup-simplify]: Simplify (+ 0 0) into 0 15.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.348 * [taylor]: Taking taylor expansion of re in im 15.348 * [backup-simplify]: Simplify re into re 15.348 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.349 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.349 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.349 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.349 * [taylor]: Taking taylor expansion of (* re re) in re 15.349 * [taylor]: Taking taylor expansion of re in re 15.349 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify 1 into 1 15.349 * [taylor]: Taking taylor expansion of re in re 15.349 * [backup-simplify]: Simplify 0 into 0 15.349 * [backup-simplify]: Simplify 1 into 1 15.349 * [taylor]: Taking taylor expansion of (* im im) in re 15.349 * [taylor]: Taking taylor expansion of im in re 15.349 * [backup-simplify]: Simplify im into im 15.349 * [taylor]: Taking taylor expansion of im in re 15.349 * [backup-simplify]: Simplify im into im 15.349 * [backup-simplify]: Simplify (* 0 0) into 0 15.349 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.349 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.349 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.350 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.350 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.351 * [backup-simplify]: Simplify (+ 0 0) into 0 15.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.351 * [taylor]: Taking taylor expansion of re in re 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.351 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.351 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.351 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.351 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.351 * [taylor]: Taking taylor expansion of (* re re) in re 15.351 * [taylor]: Taking taylor expansion of re in re 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.351 * [taylor]: Taking taylor expansion of re in re 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify 1 into 1 15.351 * [taylor]: Taking taylor expansion of (* im im) in re 15.351 * [taylor]: Taking taylor expansion of im in re 15.351 * [backup-simplify]: Simplify im into im 15.351 * [taylor]: Taking taylor expansion of im in re 15.351 * [backup-simplify]: Simplify im into im 15.351 * [backup-simplify]: Simplify (* 0 0) into 0 15.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.352 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.352 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.352 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.352 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.352 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.353 * [taylor]: Taking taylor expansion of re in re 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 1 into 1 15.353 * [backup-simplify]: Simplify (+ im 0) into im 15.353 * [taylor]: Taking taylor expansion of im in im 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 1 into 1 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify (+ 0 1) into 1 15.353 * [taylor]: Taking taylor expansion of 1 in im 15.353 * [backup-simplify]: Simplify 1 into 1 15.353 * [backup-simplify]: Simplify 1 into 1 15.353 * [backup-simplify]: Simplify 1 into 1 15.354 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.354 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.354 * [backup-simplify]: Simplify (+ 1 0) into 1 15.355 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.355 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 15.355 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 15.355 * [taylor]: Taking taylor expansion of 1/2 in im 15.355 * [backup-simplify]: Simplify 1/2 into 1/2 15.355 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.355 * [taylor]: Taking taylor expansion of im in im 15.355 * [backup-simplify]: Simplify 0 into 0 15.355 * [backup-simplify]: Simplify 1 into 1 15.355 * [backup-simplify]: Simplify (/ 1 1) into 1 15.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.356 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify 0 into 0 15.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.357 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.357 * [backup-simplify]: Simplify (+ 0 0) into 0 15.357 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.358 * [backup-simplify]: Simplify (+ 0 0) into 0 15.358 * [taylor]: Taking taylor expansion of 0 in im 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.359 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 15.359 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 15.359 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 15.359 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 15.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.359 * [taylor]: Taking taylor expansion of re in im 15.359 * [backup-simplify]: Simplify re into re 15.359 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.359 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.359 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.359 * [taylor]: Taking taylor expansion of re in im 15.359 * [backup-simplify]: Simplify re into re 15.359 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.359 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.359 * [taylor]: Taking taylor expansion of re in im 15.359 * [backup-simplify]: Simplify re into re 15.359 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.359 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.359 * [taylor]: Taking taylor expansion of im in im 15.359 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify 1 into 1 15.360 * [backup-simplify]: Simplify (/ 1 1) into 1 15.360 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.360 * [taylor]: Taking taylor expansion of im in im 15.360 * [backup-simplify]: Simplify 0 into 0 15.360 * [backup-simplify]: Simplify 1 into 1 15.360 * [backup-simplify]: Simplify (/ 1 1) into 1 15.360 * [backup-simplify]: Simplify (* 1 1) into 1 15.361 * [backup-simplify]: Simplify (+ 0 1) into 1 15.361 * [backup-simplify]: Simplify (sqrt 1) into 1 15.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.362 * [backup-simplify]: Simplify (+ 0 0) into 0 15.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.363 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.363 * [taylor]: Taking taylor expansion of re in re 15.363 * [backup-simplify]: Simplify 0 into 0 15.363 * [backup-simplify]: Simplify 1 into 1 15.363 * [backup-simplify]: Simplify (/ 1 1) into 1 15.363 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.363 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.363 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.363 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.363 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.363 * [taylor]: Taking taylor expansion of re in re 15.363 * [backup-simplify]: Simplify 0 into 0 15.363 * [backup-simplify]: Simplify 1 into 1 15.364 * [backup-simplify]: Simplify (/ 1 1) into 1 15.364 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.364 * [taylor]: Taking taylor expansion of re in re 15.364 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify 1 into 1 15.364 * [backup-simplify]: Simplify (/ 1 1) into 1 15.364 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.364 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.364 * [taylor]: Taking taylor expansion of im in re 15.364 * [backup-simplify]: Simplify im into im 15.364 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.364 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.364 * [taylor]: Taking taylor expansion of im in re 15.364 * [backup-simplify]: Simplify im into im 15.364 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.365 * [backup-simplify]: Simplify (* 1 1) into 1 15.365 * [backup-simplify]: Simplify (+ 1 0) into 1 15.365 * [backup-simplify]: Simplify (sqrt 1) into 1 15.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.367 * [backup-simplify]: Simplify (+ 0 0) into 0 15.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.367 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.367 * [taylor]: Taking taylor expansion of re in re 15.367 * [backup-simplify]: Simplify 0 into 0 15.367 * [backup-simplify]: Simplify 1 into 1 15.367 * [backup-simplify]: Simplify (/ 1 1) into 1 15.367 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.368 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.368 * [taylor]: Taking taylor expansion of re in re 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.368 * [backup-simplify]: Simplify (/ 1 1) into 1 15.368 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.368 * [taylor]: Taking taylor expansion of re in re 15.368 * [backup-simplify]: Simplify 0 into 0 15.368 * [backup-simplify]: Simplify 1 into 1 15.368 * [backup-simplify]: Simplify (/ 1 1) into 1 15.368 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.368 * [taylor]: Taking taylor expansion of im in re 15.368 * [backup-simplify]: Simplify im into im 15.368 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.368 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.368 * [taylor]: Taking taylor expansion of im in re 15.368 * [backup-simplify]: Simplify im into im 15.368 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.369 * [backup-simplify]: Simplify (* 1 1) into 1 15.369 * [backup-simplify]: Simplify (+ 1 0) into 1 15.369 * [backup-simplify]: Simplify (sqrt 1) into 1 15.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.371 * [backup-simplify]: Simplify (+ 0 0) into 0 15.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.371 * [backup-simplify]: Simplify (+ 1 1) into 2 15.371 * [taylor]: Taking taylor expansion of 2 in im 15.371 * [backup-simplify]: Simplify 2 into 2 15.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (+ 0 0) into 0 15.372 * [taylor]: Taking taylor expansion of 0 in im 15.372 * [backup-simplify]: Simplify 0 into 0 15.372 * [backup-simplify]: Simplify 2 into 2 15.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.375 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.375 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.376 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 15.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.376 * [taylor]: Taking taylor expansion of 1/2 in im 15.376 * [backup-simplify]: Simplify 1/2 into 1/2 15.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.376 * [taylor]: Taking taylor expansion of im in im 15.376 * [backup-simplify]: Simplify 0 into 0 15.376 * [backup-simplify]: Simplify 1 into 1 15.380 * [backup-simplify]: Simplify (* 1 1) into 1 15.380 * [backup-simplify]: Simplify (/ 1 1) into 1 15.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 0 into 0 15.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.387 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.387 * [backup-simplify]: Simplify (+ 0 0) into 0 15.388 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.388 * [backup-simplify]: Simplify (+ 0 0) into 0 15.388 * [taylor]: Taking taylor expansion of 0 in im 15.388 * [backup-simplify]: Simplify 0 into 0 15.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 15.392 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 15.392 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 15.392 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.392 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.392 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.392 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.392 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.392 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.392 * [taylor]: Taking taylor expansion of -1 in im 15.392 * [backup-simplify]: Simplify -1 into -1 15.392 * [taylor]: Taking taylor expansion of re in im 15.392 * [backup-simplify]: Simplify re into re 15.392 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.392 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.392 * [taylor]: Taking taylor expansion of -1 in im 15.392 * [backup-simplify]: Simplify -1 into -1 15.392 * [taylor]: Taking taylor expansion of re in im 15.392 * [backup-simplify]: Simplify re into re 15.393 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.393 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.393 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.393 * [taylor]: Taking taylor expansion of -1 in im 15.393 * [backup-simplify]: Simplify -1 into -1 15.393 * [taylor]: Taking taylor expansion of im in im 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify 1 into 1 15.393 * [backup-simplify]: Simplify (/ -1 1) into -1 15.393 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.393 * [taylor]: Taking taylor expansion of -1 in im 15.393 * [backup-simplify]: Simplify -1 into -1 15.393 * [taylor]: Taking taylor expansion of im in im 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify 1 into 1 15.394 * [backup-simplify]: Simplify (/ -1 1) into -1 15.394 * [backup-simplify]: Simplify (* -1 -1) into 1 15.395 * [backup-simplify]: Simplify (+ 0 1) into 1 15.395 * [backup-simplify]: Simplify (sqrt 1) into 1 15.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.398 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.398 * [backup-simplify]: Simplify (+ 0 0) into 0 15.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.399 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.399 * [taylor]: Taking taylor expansion of re in im 15.399 * [backup-simplify]: Simplify re into re 15.399 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.399 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.399 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.399 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.399 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.399 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.399 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.399 * [taylor]: Taking taylor expansion of -1 in re 15.399 * [backup-simplify]: Simplify -1 into -1 15.399 * [taylor]: Taking taylor expansion of re in re 15.399 * [backup-simplify]: Simplify 0 into 0 15.399 * [backup-simplify]: Simplify 1 into 1 15.400 * [backup-simplify]: Simplify (/ -1 1) into -1 15.400 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.400 * [taylor]: Taking taylor expansion of -1 in re 15.400 * [backup-simplify]: Simplify -1 into -1 15.400 * [taylor]: Taking taylor expansion of re in re 15.400 * [backup-simplify]: Simplify 0 into 0 15.400 * [backup-simplify]: Simplify 1 into 1 15.400 * [backup-simplify]: Simplify (/ -1 1) into -1 15.400 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.400 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.400 * [taylor]: Taking taylor expansion of -1 in re 15.400 * [backup-simplify]: Simplify -1 into -1 15.400 * [taylor]: Taking taylor expansion of im in re 15.400 * [backup-simplify]: Simplify im into im 15.400 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.400 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.401 * [taylor]: Taking taylor expansion of -1 in re 15.401 * [backup-simplify]: Simplify -1 into -1 15.401 * [taylor]: Taking taylor expansion of im in re 15.401 * [backup-simplify]: Simplify im into im 15.401 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.401 * [backup-simplify]: Simplify (* -1 -1) into 1 15.401 * [backup-simplify]: Simplify (+ 1 0) into 1 15.402 * [backup-simplify]: Simplify (sqrt 1) into 1 15.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.404 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.404 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.405 * [backup-simplify]: Simplify (+ 0 0) into 0 15.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.406 * [taylor]: Taking taylor expansion of re in re 15.406 * [backup-simplify]: Simplify 0 into 0 15.406 * [backup-simplify]: Simplify 1 into 1 15.406 * [backup-simplify]: Simplify (/ 1 1) into 1 15.406 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.406 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.406 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.406 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.406 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.406 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.406 * [taylor]: Taking taylor expansion of -1 in re 15.406 * [backup-simplify]: Simplify -1 into -1 15.406 * [taylor]: Taking taylor expansion of re in re 15.406 * [backup-simplify]: Simplify 0 into 0 15.406 * [backup-simplify]: Simplify 1 into 1 15.407 * [backup-simplify]: Simplify (/ -1 1) into -1 15.407 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.407 * [taylor]: Taking taylor expansion of -1 in re 15.407 * [backup-simplify]: Simplify -1 into -1 15.407 * [taylor]: Taking taylor expansion of re in re 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify 1 into 1 15.407 * [backup-simplify]: Simplify (/ -1 1) into -1 15.407 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.407 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.408 * [taylor]: Taking taylor expansion of -1 in re 15.408 * [backup-simplify]: Simplify -1 into -1 15.408 * [taylor]: Taking taylor expansion of im in re 15.408 * [backup-simplify]: Simplify im into im 15.408 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.408 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.408 * [taylor]: Taking taylor expansion of -1 in re 15.408 * [backup-simplify]: Simplify -1 into -1 15.408 * [taylor]: Taking taylor expansion of im in re 15.408 * [backup-simplify]: Simplify im into im 15.408 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.408 * [backup-simplify]: Simplify (* -1 -1) into 1 15.409 * [backup-simplify]: Simplify (+ 1 0) into 1 15.409 * [backup-simplify]: Simplify (sqrt 1) into 1 15.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.411 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.412 * [backup-simplify]: Simplify (+ 0 0) into 0 15.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.412 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.412 * [taylor]: Taking taylor expansion of re in re 15.413 * [backup-simplify]: Simplify 0 into 0 15.413 * [backup-simplify]: Simplify 1 into 1 15.413 * [backup-simplify]: Simplify (/ 1 1) into 1 15.413 * [backup-simplify]: Simplify (- 1) into -1 15.414 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.414 * [taylor]: Taking taylor expansion of 0 in im 15.414 * [backup-simplify]: Simplify 0 into 0 15.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.415 * [backup-simplify]: Simplify (- 0) into 0 15.415 * [backup-simplify]: Simplify (+ 0 0) into 0 15.415 * [taylor]: Taking taylor expansion of 0 in im 15.415 * [backup-simplify]: Simplify 0 into 0 15.415 * [backup-simplify]: Simplify 0 into 0 15.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.418 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.419 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.420 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.421 * [backup-simplify]: Simplify (- 0) into 0 15.421 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.421 * [taylor]: Taking taylor expansion of 1/2 in im 15.421 * [backup-simplify]: Simplify 1/2 into 1/2 15.421 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.421 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.421 * [taylor]: Taking taylor expansion of im in im 15.421 * [backup-simplify]: Simplify 0 into 0 15.421 * [backup-simplify]: Simplify 1 into 1 15.422 * [backup-simplify]: Simplify (* 1 1) into 1 15.422 * [backup-simplify]: Simplify (/ 1 1) into 1 15.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.424 * [backup-simplify]: Simplify 0 into 0 15.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.428 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.428 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.428 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.428 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.429 * [backup-simplify]: Simplify (+ 0 0) into 0 15.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.431 * [backup-simplify]: Simplify (- 0) into 0 15.431 * [backup-simplify]: Simplify (+ 0 0) into 0 15.431 * [taylor]: Taking taylor expansion of 0 in im 15.431 * [backup-simplify]: Simplify 0 into 0 15.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * [backup-simplify]: Simplify 0 into 0 15.434 * * * [progress]: simplifying candidates 15.434 * * * * [progress]: [ 1 / 84 ] simplifiying candidate # 15.434 * * * * [progress]: [ 2 / 84 ] simplifiying candidate # 15.435 * * * * [progress]: [ 3 / 84 ] simplifiying candidate # 15.435 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.435 * * [simplify]: iters left: 4 (5 enodes) 15.437 * * [simplify]: iters left: 3 (15 enodes) 15.441 * * [simplify]: Extracting #0: cost 1 inf + 0 15.441 * * [simplify]: Extracting #1: cost 3 inf + 0 15.441 * * [simplify]: Extracting #2: cost 5 inf + 0 15.441 * * [simplify]: Extracting #3: cost 8 inf + 0 15.441 * * [simplify]: Extracting #4: cost 6 inf + 2 15.442 * * [simplify]: Extracting #5: cost 0 inf + 744 15.442 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.442 * [simplify]: Simplified (2 2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)))) (sqrt (sqrt 2.0))))))) 15.442 * * * * [progress]: [ 4 / 84 ] simplifiying candidate # 15.442 * [simplify]: Simplifying (sqrt (hypot re im)) 15.443 * * [simplify]: iters left: 2 (4 enodes) 15.444 * * [simplify]: iters left: 1 (12 enodes) 15.447 * * [simplify]: Extracting #0: cost 1 inf + 0 15.447 * * [simplify]: Extracting #1: cost 3 inf + 0 15.447 * * [simplify]: Extracting #2: cost 6 inf + 0 15.447 * * [simplify]: Extracting #3: cost 4 inf + 2 15.448 * * [simplify]: Extracting #4: cost 0 inf + 310 15.448 * [simplify]: Simplified to (sqrt (hypot re im)) 15.448 * [simplify]: Simplified (2 2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (sqrt (sqrt 2.0))))))) 15.448 * * * * [progress]: [ 5 / 84 ] simplifiying candidate # 15.448 * * * * [progress]: [ 6 / 84 ] simplifiying candidate # 15.448 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 15.448 * * [simplify]: iters left: 4 (6 enodes) 15.451 * * [simplify]: iters left: 3 (21 enodes) 15.457 * * [simplify]: iters left: 2 (25 enodes) 15.463 * * [simplify]: Extracting #0: cost 1 inf + 0 15.463 * * [simplify]: Extracting #1: cost 5 inf + 0 15.463 * * [simplify]: Extracting #2: cost 10 inf + 0 15.463 * * [simplify]: Extracting #3: cost 9 inf + 143 15.463 * * [simplify]: Extracting #4: cost 8 inf + 144 15.464 * * [simplify]: Extracting #5: cost 0 inf + 1180 15.464 * * [simplify]: Extracting #6: cost 0 inf + 1040 15.464 * [simplify]: Simplified to (exp (+ re (hypot re im))) 15.464 * [simplify]: Simplified (2 2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (log (exp (+ re (hypot re im))))))) (sqrt (sqrt 2.0))))))) 15.465 * * * * [progress]: [ 7 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 8 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 9 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 10 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 11 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 12 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 13 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 14 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 15 / 84 ] simplifiying candidate # 15.465 * * * * [progress]: [ 16 / 84 ] simplifiying candidate # 15.466 * [simplify]: Simplifying (+ (hypot re im) re) 15.466 * * [simplify]: iters left: 3 (4 enodes) 15.468 * * [simplify]: iters left: 2 (13 enodes) 15.471 * * [simplify]: Extracting #0: cost 1 inf + 0 15.471 * * [simplify]: Extracting #1: cost 4 inf + 0 15.472 * * [simplify]: Extracting #2: cost 5 inf + 1 15.472 * * [simplify]: Extracting #3: cost 4 inf + 2 15.472 * * [simplify]: Extracting #4: cost 0 inf + 310 15.472 * [simplify]: Simplified to (+ re (hypot re im)) 15.472 * [simplify]: Simplified (2 2 2 2 1 1 1 1 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (* 1 (+ re (hypot re im)))))) (sqrt (sqrt 2.0))))))) 15.472 * * * * [progress]: [ 17 / 84 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re)))))) (sqrt (sqrt 2.0)))))))> 15.472 * * * * [progress]: [ 18 / 84 ] simplifiying candidate # 15.472 * * * * [progress]: [ 19 / 84 ] simplifiying candidate # 15.473 * * * * [progress]: [ 20 / 84 ] simplifiying candidate # 15.473 * * * * [progress]: [ 21 / 84 ] simplifiying candidate # 15.473 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.473 * * [simplify]: iters left: 4 (5 enodes) 15.475 * * [simplify]: iters left: 3 (15 enodes) 15.479 * * [simplify]: Extracting #0: cost 1 inf + 0 15.479 * * [simplify]: Extracting #1: cost 3 inf + 0 15.479 * * [simplify]: Extracting #2: cost 5 inf + 0 15.479 * * [simplify]: Extracting #3: cost 8 inf + 0 15.479 * * [simplify]: Extracting #4: cost 6 inf + 2 15.479 * * [simplify]: Extracting #5: cost 0 inf + 744 15.480 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.480 * [simplify]: Simplified (2 2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.480 * * * * [progress]: [ 22 / 84 ] simplifiying candidate # 15.480 * [simplify]: Simplifying (sqrt (hypot re im)) 15.480 * * [simplify]: iters left: 2 (4 enodes) 15.482 * * [simplify]: iters left: 1 (12 enodes) 15.485 * * [simplify]: Extracting #0: cost 1 inf + 0 15.485 * * [simplify]: Extracting #1: cost 3 inf + 0 15.485 * * [simplify]: Extracting #2: cost 6 inf + 0 15.485 * * [simplify]: Extracting #3: cost 4 inf + 2 15.485 * * [simplify]: Extracting #4: cost 0 inf + 310 15.485 * [simplify]: Simplified to (sqrt (hypot re im)) 15.485 * [simplify]: Simplified (2 2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.486 * * * * [progress]: [ 23 / 84 ] simplifiying candidate # 15.486 * * * * [progress]: [ 24 / 84 ] simplifiying candidate # 15.486 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 15.486 * * [simplify]: iters left: 4 (6 enodes) 15.489 * * [simplify]: iters left: 3 (21 enodes) 15.495 * * [simplify]: iters left: 2 (25 enodes) 15.501 * * [simplify]: Extracting #0: cost 1 inf + 0 15.501 * * [simplify]: Extracting #1: cost 5 inf + 0 15.501 * * [simplify]: Extracting #2: cost 10 inf + 0 15.501 * * [simplify]: Extracting #3: cost 9 inf + 143 15.501 * * [simplify]: Extracting #4: cost 8 inf + 144 15.501 * * [simplify]: Extracting #5: cost 0 inf + 1180 15.502 * * [simplify]: Extracting #6: cost 0 inf + 1040 15.502 * [simplify]: Simplified to (exp (+ re (hypot re im))) 15.502 * [simplify]: Simplified (2 2 2 1 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (log (exp (+ re (hypot re im)))))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.502 * * * * [progress]: [ 25 / 84 ] simplifiying candidate # 15.502 * * * * [progress]: [ 26 / 84 ] simplifiying candidate # 15.502 * * * * [progress]: [ 27 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 28 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 29 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 30 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 31 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 32 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 33 / 84 ] simplifiying candidate # 15.503 * * * * [progress]: [ 34 / 84 ] simplifiying candidate # 15.503 * [simplify]: Simplifying (+ (hypot re im) re) 15.503 * * [simplify]: iters left: 3 (4 enodes) 15.505 * * [simplify]: iters left: 2 (13 enodes) 15.508 * * [simplify]: Extracting #0: cost 1 inf + 0 15.508 * * [simplify]: Extracting #1: cost 4 inf + 0 15.508 * * [simplify]: Extracting #2: cost 5 inf + 1 15.509 * * [simplify]: Extracting #3: cost 4 inf + 2 15.509 * * [simplify]: Extracting #4: cost 0 inf + 310 15.509 * [simplify]: Simplified to (+ re (hypot re im)) 15.509 * [simplify]: Simplified (2 2 2 1 2 1 1 1 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (* 1 (+ re (hypot re im))))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.509 * * * * [progress]: [ 35 / 84 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0)))))))> 15.509 * * * * [progress]: [ 36 / 84 ] simplifiying candidate # 15.509 * * * * [progress]: [ 37 / 84 ] simplifiying candidate # 15.509 * * * * [progress]: [ 38 / 84 ] simplifiying candidate # 15.509 * * * * [progress]: [ 39 / 84 ] simplifiying candidate # 15.510 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.510 * * [simplify]: iters left: 4 (5 enodes) 15.512 * * [simplify]: iters left: 3 (15 enodes) 15.516 * * [simplify]: Extracting #0: cost 1 inf + 0 15.516 * * [simplify]: Extracting #1: cost 3 inf + 0 15.516 * * [simplify]: Extracting #2: cost 5 inf + 0 15.516 * * [simplify]: Extracting #3: cost 8 inf + 0 15.516 * * [simplify]: Extracting #4: cost 6 inf + 2 15.516 * * [simplify]: Extracting #5: cost 0 inf + 744 15.517 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.517 * [simplify]: Simplified (2 2 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (fma (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.517 * * * * [progress]: [ 40 / 84 ] simplifiying candidate # 15.517 * [simplify]: Simplifying (sqrt (hypot re im)) 15.517 * * [simplify]: iters left: 2 (4 enodes) 15.519 * * [simplify]: iters left: 1 (12 enodes) 15.522 * * [simplify]: Extracting #0: cost 1 inf + 0 15.522 * * [simplify]: Extracting #1: cost 3 inf + 0 15.522 * * [simplify]: Extracting #2: cost 6 inf + 0 15.523 * * [simplify]: Extracting #3: cost 4 inf + 2 15.523 * * [simplify]: Extracting #4: cost 0 inf + 310 15.523 * [simplify]: Simplified to (sqrt (hypot re im)) 15.523 * [simplify]: Simplified (2 2 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (fma (sqrt (hypot re im)) (sqrt (hypot re im)) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.523 * * * * [progress]: [ 41 / 84 ] simplifiying candidate # 15.523 * * * * [progress]: [ 42 / 84 ] simplifiying candidate # 15.523 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 15.524 * * [simplify]: iters left: 4 (6 enodes) 15.526 * * [simplify]: iters left: 3 (21 enodes) 15.532 * * [simplify]: iters left: 2 (25 enodes) 15.541 * * [simplify]: Extracting #0: cost 1 inf + 0 15.542 * * [simplify]: Extracting #1: cost 5 inf + 0 15.542 * * [simplify]: Extracting #2: cost 10 inf + 0 15.542 * * [simplify]: Extracting #3: cost 9 inf + 143 15.542 * * [simplify]: Extracting #4: cost 8 inf + 144 15.542 * * [simplify]: Extracting #5: cost 0 inf + 1180 15.542 * * [simplify]: Extracting #6: cost 0 inf + 1040 15.543 * [simplify]: Simplified to (exp (+ re (hypot re im))) 15.543 * [simplify]: Simplified (2 2 2 1 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (log (exp (+ re (hypot re im))))))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.543 * * * * [progress]: [ 43 / 84 ] simplifiying candidate # 15.543 * * * * [progress]: [ 44 / 84 ] simplifiying candidate # 15.543 * * * * [progress]: [ 45 / 84 ] simplifiying candidate # 15.543 * * * * [progress]: [ 46 / 84 ] simplifiying candidate # 15.543 * * * * [progress]: [ 47 / 84 ] simplifiying candidate # 15.544 * * * * [progress]: [ 48 / 84 ] simplifiying candidate # 15.544 * * * * [progress]: [ 49 / 84 ] simplifiying candidate # 15.544 * * * * [progress]: [ 50 / 84 ] simplifiying candidate # 15.544 * * * * [progress]: [ 51 / 84 ] simplifiying candidate # 15.544 * * * * [progress]: [ 52 / 84 ] simplifiying candidate # 15.544 * [simplify]: Simplifying (+ (hypot re im) re) 15.544 * * [simplify]: iters left: 3 (4 enodes) 15.545 * * [simplify]: iters left: 2 (13 enodes) 15.547 * * [simplify]: Extracting #0: cost 1 inf + 0 15.547 * * [simplify]: Extracting #1: cost 4 inf + 0 15.547 * * [simplify]: Extracting #2: cost 5 inf + 1 15.547 * * [simplify]: Extracting #3: cost 4 inf + 2 15.547 * * [simplify]: Extracting #4: cost 0 inf + 310 15.547 * [simplify]: Simplified to (+ re (hypot re im)) 15.547 * [simplify]: Simplified (2 2 2 1 1 1 1 1 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.547 * * * * [progress]: [ 53 / 84 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re)))))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0)))))))> 15.547 * * * * [progress]: [ 54 / 84 ] simplifiying candidate # 15.547 * * * * [progress]: [ 55 / 84 ] simplifiying candidate # 15.548 * * * * [progress]: [ 56 / 84 ] simplifiying candidate # 15.548 * * * * [progress]: [ 57 / 84 ] simplifiying candidate # 15.548 * [simplify]: Simplifying (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.548 * * [simplify]: iters left: 4 (5 enodes) 15.549 * * [simplify]: iters left: 3 (15 enodes) 15.551 * * [simplify]: Extracting #0: cost 1 inf + 0 15.551 * * [simplify]: Extracting #1: cost 3 inf + 0 15.551 * * [simplify]: Extracting #2: cost 5 inf + 0 15.551 * * [simplify]: Extracting #3: cost 8 inf + 0 15.551 * * [simplify]: Extracting #4: cost 6 inf + 2 15.551 * * [simplify]: Extracting #5: cost 0 inf + 744 15.551 * [simplify]: Simplified to (* (cbrt (hypot re im)) (cbrt (hypot re im))) 15.551 * [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 (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.551 * * * * [progress]: [ 58 / 84 ] simplifiying candidate # 15.552 * [simplify]: Simplifying (sqrt (hypot re im)) 15.552 * * [simplify]: iters left: 2 (4 enodes) 15.552 * * [simplify]: iters left: 1 (12 enodes) 15.554 * * [simplify]: Extracting #0: cost 1 inf + 0 15.554 * * [simplify]: Extracting #1: cost 3 inf + 0 15.554 * * [simplify]: Extracting #2: cost 6 inf + 0 15.554 * * [simplify]: Extracting #3: cost 4 inf + 2 15.554 * * [simplify]: Extracting #4: cost 0 inf + 310 15.554 * [simplify]: Simplified to (sqrt (hypot re im)) 15.554 * [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 (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.554 * * * * [progress]: [ 59 / 84 ] simplifiying candidate # 15.554 * * * * [progress]: [ 60 / 84 ] simplifiying candidate # 15.554 * [simplify]: Simplifying (* (exp (hypot re im)) (exp re)) 15.555 * * [simplify]: iters left: 4 (6 enodes) 15.556 * * [simplify]: iters left: 3 (21 enodes) 15.559 * * [simplify]: iters left: 2 (25 enodes) 15.561 * * [simplify]: Extracting #0: cost 1 inf + 0 15.561 * * [simplify]: Extracting #1: cost 5 inf + 0 15.562 * * [simplify]: Extracting #2: cost 10 inf + 0 15.562 * * [simplify]: Extracting #3: cost 9 inf + 143 15.562 * * [simplify]: Extracting #4: cost 8 inf + 144 15.562 * * [simplify]: Extracting #5: cost 0 inf + 1180 15.562 * * [simplify]: Extracting #6: cost 0 inf + 1040 15.562 * [simplify]: Simplified to (exp (+ re (hypot re im))) 15.562 * [simplify]: Simplified (2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (log (exp (+ re (hypot re im)))))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.562 * * * * [progress]: [ 61 / 84 ] simplifiying candidate # 15.562 * * * * [progress]: [ 62 / 84 ] simplifiying candidate # 15.562 * * * * [progress]: [ 63 / 84 ] simplifiying candidate # 15.562 * * * * [progress]: [ 64 / 84 ] simplifiying candidate # 15.563 * * * * [progress]: [ 65 / 84 ] simplifiying candidate # 15.563 * * * * [progress]: [ 66 / 84 ] simplifiying candidate # 15.563 * * * * [progress]: [ 67 / 84 ] simplifiying candidate # 15.563 * * * * [progress]: [ 68 / 84 ] simplifiying candidate # 15.563 * * * * [progress]: [ 69 / 84 ] simplifiying candidate # 15.563 * * * * [progress]: [ 70 / 84 ] simplifiying candidate # 15.563 * [simplify]: Simplifying (+ (hypot re im) re) 15.563 * * [simplify]: iters left: 3 (4 enodes) 15.564 * * [simplify]: iters left: 2 (13 enodes) 15.565 * * [simplify]: Extracting #0: cost 1 inf + 0 15.565 * * [simplify]: Extracting #1: cost 4 inf + 0 15.565 * * [simplify]: Extracting #2: cost 5 inf + 1 15.566 * * [simplify]: Extracting #3: cost 4 inf + 2 15.566 * * [simplify]: Extracting #4: cost 0 inf + 310 15.566 * [simplify]: Simplified to (+ re (hypot re im)) 15.566 * [simplify]: Simplified (2 2 1 1 1 1 2) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 1 (+ re (hypot re im))))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.566 * * * * [progress]: [ 71 / 84 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0)))))))> 15.566 * * * * [progress]: [ 72 / 84 ] simplifiying candidate # 15.566 * * * * [progress]: [ 73 / 84 ] simplifiying candidate # 15.566 * [simplify]: Simplifying (+ re im) 15.566 * * [simplify]: iters left: 2 (3 enodes) 15.567 * * [simplify]: iters left: 1 (10 enodes) 15.568 * * [simplify]: Extracting #0: cost 1 inf + 0 15.568 * * [simplify]: Extracting #1: cost 4 inf + 0 15.568 * * [simplify]: Extracting #2: cost 2 inf + 2 15.568 * * [simplify]: Extracting #3: cost 0 inf + 86 15.568 * [simplify]: Simplified to (+ im re) 15.568 * [simplify]: Simplified (2 2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ im re)))) (sqrt (sqrt 2.0))))))) 15.568 * * * * [progress]: [ 74 / 84 ] simplifiying candidate # 15.568 * [simplify]: Simplifying (* 2 re) 15.569 * * [simplify]: iters left: 2 (3 enodes) 15.570 * * [simplify]: iters left: 1 (10 enodes) 15.571 * * [simplify]: Extracting #0: cost 1 inf + 0 15.571 * * [simplify]: Extracting #1: cost 4 inf + 0 15.571 * * [simplify]: Extracting #2: cost 2 inf + 2 15.571 * * [simplify]: Extracting #3: cost 0 inf + 86 15.572 * [simplify]: Simplified to (* 2 re) 15.572 * [simplify]: Simplified (2 2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (* 2 re)))) (sqrt (sqrt 2.0))))))) 15.572 * * * * [progress]: [ 75 / 84 ] simplifiying candidate # 15.572 * [simplify]: Simplifying 0 15.572 * * [simplify]: iters left: 0 (1 enodes) 15.573 * * [simplify]: Extracting #0: cost 1 inf + 0 15.573 * * [simplify]: Extracting #1: cost 0 inf + 1 15.573 * [simplify]: Simplified to 0 15.573 * [simplify]: Simplified (2 2 2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt 0))) (sqrt (sqrt 2.0))))))) 15.573 * * * * [progress]: [ 76 / 84 ] simplifiying candidate # 15.573 * [simplify]: Simplifying (+ re im) 15.573 * * [simplify]: iters left: 2 (3 enodes) 15.574 * * [simplify]: iters left: 1 (10 enodes) 15.575 * * [simplify]: Extracting #0: cost 1 inf + 0 15.575 * * [simplify]: Extracting #1: cost 4 inf + 0 15.575 * * [simplify]: Extracting #2: cost 2 inf + 2 15.575 * * [simplify]: Extracting #3: cost 0 inf + 86 15.575 * [simplify]: Simplified to (+ im re) 15.575 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ im re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.575 * * * * [progress]: [ 77 / 84 ] simplifiying candidate # 15.575 * [simplify]: Simplifying (* 2 re) 15.575 * * [simplify]: iters left: 2 (3 enodes) 15.577 * * [simplify]: iters left: 1 (10 enodes) 15.580 * * [simplify]: Extracting #0: cost 1 inf + 0 15.580 * * [simplify]: Extracting #1: cost 4 inf + 0 15.580 * * [simplify]: Extracting #2: cost 2 inf + 2 15.580 * * [simplify]: Extracting #3: cost 0 inf + 86 15.580 * [simplify]: Simplified to (* 2 re) 15.580 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (* 2 re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.581 * * * * [progress]: [ 78 / 84 ] simplifiying candidate # 15.581 * [simplify]: Simplifying 0 15.581 * * [simplify]: iters left: 0 (1 enodes) 15.582 * * [simplify]: Extracting #0: cost 1 inf + 0 15.582 * * [simplify]: Extracting #1: cost 0 inf + 1 15.582 * [simplify]: Simplified to 0 15.582 * [simplify]: Simplified (2 2 2 1 2 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt 0)))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.582 * * * * [progress]: [ 79 / 84 ] simplifiying candidate # 15.583 * [simplify]: Simplifying (+ re im) 15.583 * * [simplify]: iters left: 2 (3 enodes) 15.584 * * [simplify]: iters left: 1 (10 enodes) 15.587 * * [simplify]: Extracting #0: cost 1 inf + 0 15.587 * * [simplify]: Extracting #1: cost 4 inf + 0 15.587 * * [simplify]: Extracting #2: cost 2 inf + 2 15.587 * * [simplify]: Extracting #3: cost 0 inf + 86 15.587 * [simplify]: Simplified to (+ im re) 15.587 * [simplify]: Simplified (2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ im re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.588 * * * * [progress]: [ 80 / 84 ] simplifiying candidate # 15.588 * [simplify]: Simplifying (* 2 re) 15.588 * * [simplify]: iters left: 2 (3 enodes) 15.590 * * [simplify]: iters left: 1 (10 enodes) 15.593 * * [simplify]: Extracting #0: cost 1 inf + 0 15.593 * * [simplify]: Extracting #1: cost 4 inf + 0 15.593 * * [simplify]: Extracting #2: cost 2 inf + 2 15.593 * * [simplify]: Extracting #3: cost 0 inf + 86 15.593 * [simplify]: Simplified to (* 2 re) 15.594 * [simplify]: Simplified (2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (* 2 re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.594 * * * * [progress]: [ 81 / 84 ] simplifiying candidate # 15.594 * [simplify]: Simplifying 0 15.594 * * [simplify]: iters left: 0 (1 enodes) 15.595 * * [simplify]: Extracting #0: cost 1 inf + 0 15.595 * * [simplify]: Extracting #1: cost 0 inf + 1 15.595 * [simplify]: Simplified to 0 15.595 * [simplify]: Simplified (2 2 2 1 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt 0))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.595 * * * * [progress]: [ 82 / 84 ] simplifiying candidate # 15.596 * [simplify]: Simplifying (+ re im) 15.596 * * [simplify]: iters left: 2 (3 enodes) 15.597 * * [simplify]: iters left: 1 (10 enodes) 15.600 * * [simplify]: Extracting #0: cost 1 inf + 0 15.600 * * [simplify]: Extracting #1: cost 4 inf + 0 15.600 * * [simplify]: Extracting #2: cost 2 inf + 2 15.600 * * [simplify]: Extracting #3: cost 0 inf + 86 15.600 * [simplify]: Simplified to (+ im re) 15.600 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (+ im re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.600 * * * * [progress]: [ 83 / 84 ] simplifiying candidate # 15.600 * [simplify]: Simplifying (* 2 re) 15.601 * * [simplify]: iters left: 2 (3 enodes) 15.602 * * [simplify]: iters left: 1 (10 enodes) 15.606 * * [simplify]: Extracting #0: cost 1 inf + 0 15.606 * * [simplify]: Extracting #1: cost 4 inf + 0 15.606 * * [simplify]: Extracting #2: cost 2 inf + 2 15.606 * * [simplify]: Extracting #3: cost 0 inf + 86 15.606 * [simplify]: Simplified to (* 2 re) 15.606 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt (* 2 re))) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.606 * * * * [progress]: [ 84 / 84 ] simplifiying candidate # 15.607 * [simplify]: Simplifying 0 15.607 * * [simplify]: iters left: 0 (1 enodes) 15.607 * * [simplify]: Extracting #0: cost 1 inf + 0 15.608 * * [simplify]: Extracting #1: cost 0 inf + 1 15.608 * [simplify]: Simplified to 0 15.608 * [simplify]: Simplified (2 2 1 1 1 1) to (λ (re im) (* 0.5 (* (* (sqrt (sqrt 0)) (sqrt (sqrt 2.0))) (* (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (cbrt (sqrt (sqrt (+ (hypot re im) re))))) (* (cbrt (sqrt (sqrt (+ (hypot re im) re)))) (sqrt (sqrt 2.0))))))) 15.608 * * * [progress]: adding candidates to table 17.159 * [progress]: [Phase 3 of 3] Extracting. 17.159 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 17.163 * * * [regime-changes]: Trying 7 branch expressions: (im (* im im) re (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) 17.163 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 17.244 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 17.318 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 17.398 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 17.894 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #) 17.988 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #) 18.091 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # #) 18.166 * * * [regime]: Found split indices: #