40.335 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.074 * * * [progress]: [2/2] Setting up program. 0.079 * [progress]: [Phase 2 of 3] Improving. 0.079 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.080 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.080 * * [simplify]: iteration 1: (12 enodes) 0.084 * * [simplify]: iteration 2: (24 enodes) 0.092 * * [simplify]: iteration 3: (29 enodes) 0.099 * * [simplify]: iteration 4: (31 enodes) 0.106 * * [simplify]: Extracting #0: cost 1 inf + 0 0.106 * * [simplify]: Extracting #1: cost 3 inf + 0 0.106 * * [simplify]: Extracting #2: cost 3 inf + 1 0.106 * * [simplify]: Extracting #3: cost 9 inf + 1 0.107 * * [simplify]: Extracting #4: cost 8 inf + 45 0.107 * * [simplify]: Extracting #5: cost 3 inf + 833 0.107 * * [simplify]: Extracting #6: cost 1 inf + 915 0.108 * * [simplify]: Extracting #7: cost 0 inf + 1012 0.108 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (hypot re im) re) 2.0))) 0.141 * * [progress]: iteration 1 / 4 0.141 * * * [progress]: picking best candidate 0.151 * * * * [pick]: Picked # 0.151 * * * [progress]: localizing error 0.182 * * * [progress]: generating rewritten candidates 0.182 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.195 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 0.204 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 0.205 * * * [progress]: generating series expansions 0.205 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.205 * [backup-simplify]: Simplify (sqrt (* (+ (hypot re im) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 0.205 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 0.205 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 0.205 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.205 * [taylor]: Taking taylor expansion of 2.0 in im 0.205 * [backup-simplify]: Simplify 2.0 into 2.0 0.206 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 0.207 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.207 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.207 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.207 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.207 * [taylor]: Taking taylor expansion of (* re re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [backup-simplify]: Simplify re into re 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [backup-simplify]: Simplify re into re 0.207 * [taylor]: Taking taylor expansion of (* im im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.208 * [backup-simplify]: Simplify (* 0 0) into 0 0.208 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.208 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.208 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.209 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.209 * [taylor]: Taking taylor expansion of re in im 0.209 * [backup-simplify]: Simplify re into re 0.209 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.210 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.210 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.210 * [taylor]: Taking taylor expansion of 2.0 in re 0.210 * [backup-simplify]: Simplify 2.0 into 2.0 0.211 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.211 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.212 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.212 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.212 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.212 * [taylor]: Taking taylor expansion of (* re re) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (* im im) in re 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [backup-simplify]: Simplify im into im 0.212 * [taylor]: Taking taylor expansion of im in re 0.212 * [backup-simplify]: Simplify im into im 0.212 * [backup-simplify]: Simplify (* 0 0) into 0 0.212 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.212 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.213 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.213 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.214 * [taylor]: Taking taylor expansion of re in re 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (+ im 0) into im 0.214 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.214 * [backup-simplify]: Simplify (+ 0 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.215 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 0.215 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.215 * [taylor]: Taking taylor expansion of 2.0 in re 0.215 * [backup-simplify]: Simplify 2.0 into 2.0 0.215 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 0.216 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.216 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.216 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.216 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.216 * [taylor]: Taking taylor expansion of (* re re) in re 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of re in re 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of (* im im) in re 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [backup-simplify]: Simplify im into im 0.216 * [taylor]: Taking taylor expansion of im in re 0.216 * [backup-simplify]: Simplify im into im 0.217 * [backup-simplify]: Simplify (* 0 0) into 0 0.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.217 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.217 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.218 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.218 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.218 * [taylor]: Taking taylor expansion of re in re 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ im 0) into im 0.219 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.219 * [backup-simplify]: Simplify (+ 0 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.220 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.220 * [taylor]: Taking taylor expansion of 2.0 in im 0.220 * [backup-simplify]: Simplify 2.0 into 2.0 0.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.221 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (sqrt 0) into 0 0.223 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.224 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.224 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.224 * [taylor]: Taking taylor expansion of 1/2 in im 0.225 * [backup-simplify]: Simplify 1/2 into 1/2 0.225 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.225 * [taylor]: Taking taylor expansion of 2.0 in im 0.225 * [backup-simplify]: Simplify 2.0 into 2.0 0.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.226 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.226 * [taylor]: Taking taylor expansion of im in im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify (sqrt 0) into 0 0.228 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.230 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.231 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.236 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.241 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.242 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.242 * [backup-simplify]: Simplify (+ 1 0) into 1 0.243 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.243 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.244 * [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)))) 0.245 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.246 * [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))))) 0.246 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.246 * [taylor]: Taking taylor expansion of 1/8 in im 0.246 * [backup-simplify]: Simplify 1/8 into 1/8 0.246 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.246 * [taylor]: Taking taylor expansion of 2.0 in im 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.247 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.247 * [taylor]: Taking taylor expansion of im in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (sqrt 0) into 0 0.250 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.257 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.259 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.261 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.261 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.268 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.269 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.273 * [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))))))) 0.273 * [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))))) 0.273 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 0.273 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 0.273 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.273 * [taylor]: Taking taylor expansion of 2.0 in im 0.273 * [backup-simplify]: Simplify 2.0 into 2.0 0.273 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.274 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.274 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.274 * [taylor]: Taking taylor expansion of re in im 0.274 * [backup-simplify]: Simplify re into re 0.274 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.274 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.274 * [taylor]: Taking taylor expansion of im in im 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [backup-simplify]: Simplify (sqrt 1) into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 1) into 1 0.278 * [backup-simplify]: Simplify (sqrt 0) into 0 0.279 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.279 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.279 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.279 * [taylor]: Taking taylor expansion of 2.0 in re 0.279 * [backup-simplify]: Simplify 2.0 into 2.0 0.279 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.280 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 (hypot (/ 1 re) (/ 1 im)) in re 0.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.280 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.280 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 re) in re 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 0.281 * [backup-simplify]: Simplify (/ 1 1) into 1 0.281 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [backup-simplify]: Simplify im into im 0.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.281 * [taylor]: Taking taylor expansion of im in re 0.281 * [backup-simplify]: Simplify im into im 0.281 * [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 0.282 * [backup-simplify]: Simplify (sqrt 1) into 1 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.284 * [backup-simplify]: Simplify (+ 1 1) into 2 0.284 * [backup-simplify]: Simplify (sqrt 0) into 0 0.285 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.285 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.285 * [taylor]: Taking taylor expansion of 2.0 in re 0.285 * [backup-simplify]: Simplify 2.0 into 2.0 0.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.286 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.286 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.286 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.286 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.286 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.286 * [taylor]: Taking taylor expansion of re in re 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.287 * [taylor]: Taking taylor expansion of re in re 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.287 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.287 * [taylor]: Taking taylor expansion of im in re 0.288 * [backup-simplify]: Simplify im into im 0.288 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.288 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [backup-simplify]: Simplify im into im 0.288 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.289 * [backup-simplify]: Simplify (sqrt 1) into 1 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.293 * [backup-simplify]: Simplify (+ 1 1) into 2 0.294 * [backup-simplify]: Simplify (sqrt 0) into 0 0.295 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.296 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.296 * [taylor]: Taking taylor expansion of 0 in im 0.296 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.298 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.298 * [taylor]: Taking taylor expansion of +nan.0 in im 0.298 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.298 * [taylor]: Taking taylor expansion of 2.0 in im 0.298 * [backup-simplify]: Simplify 2.0 into 2.0 0.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.308 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.308 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.308 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.308 * [taylor]: Taking taylor expansion of +nan.0 in im 0.308 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.308 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.308 * [taylor]: Taking taylor expansion of 2.0 in im 0.308 * [backup-simplify]: Simplify 2.0 into 2.0 0.309 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.310 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.312 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.314 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.314 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.319 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.319 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.321 * [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)) 0.323 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.323 * [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)))))) 0.323 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.324 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.324 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.324 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.324 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.324 * [taylor]: Taking taylor expansion of +nan.0 in im 0.324 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.324 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.325 * [taylor]: Taking taylor expansion of im in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (- 0) into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.330 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.331 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.331 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.335 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [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))) 0.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.339 * [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)))))) 0.339 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.339 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.339 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.339 * [taylor]: Taking taylor expansion of +nan.0 in im 0.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.339 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.339 * [taylor]: Taking taylor expansion of 2.0 in im 0.339 * [backup-simplify]: Simplify 2.0 into 2.0 0.339 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.340 * [taylor]: Taking taylor expansion of +nan.0 in im 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.340 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.340 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.340 * [taylor]: Taking taylor expansion of im in im 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (* 1 1) into 1 0.341 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.343 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.343 * [backup-simplify]: Simplify (- 0) into 0 0.343 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (- 0) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.345 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.347 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.350 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.351 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.354 * [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)))))))) 0.355 * [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)))) 0.355 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.355 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.355 * [taylor]: Taking taylor expansion of 2.0 in im 0.355 * [backup-simplify]: Simplify 2.0 into 2.0 0.355 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.356 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.356 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.356 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.356 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.356 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.356 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.356 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.356 * [taylor]: Taking taylor expansion of -1 in im 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of re in im 0.356 * [backup-simplify]: Simplify re into re 0.357 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.357 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [backup-simplify]: Simplify -1 into -1 0.357 * [taylor]: Taking taylor expansion of re in im 0.357 * [backup-simplify]: Simplify re into re 0.357 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.357 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [backup-simplify]: Simplify -1 into -1 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ -1 1) into -1 0.357 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.357 * [taylor]: Taking taylor expansion of -1 in im 0.357 * [backup-simplify]: Simplify -1 into -1 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ -1 1) into -1 0.358 * [backup-simplify]: Simplify (* -1 -1) into 1 0.359 * [backup-simplify]: Simplify (+ 0 1) into 1 0.359 * [backup-simplify]: Simplify (sqrt 1) into 1 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.362 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.363 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.363 * [taylor]: Taking taylor expansion of re in im 0.363 * [backup-simplify]: Simplify re into re 0.363 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.364 * [backup-simplify]: Simplify (+ 1 0) into 1 0.364 * [backup-simplify]: Simplify (sqrt 0) into 0 0.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.366 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.366 * [taylor]: Taking taylor expansion of 2.0 in re 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 (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.367 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.367 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 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 re 0.367 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.367 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.367 * [taylor]: Taking taylor expansion of -1 in re 0.367 * [backup-simplify]: Simplify -1 into -1 0.367 * [taylor]: Taking taylor expansion of re in re 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (/ -1 1) into -1 0.368 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.368 * [taylor]: Taking taylor expansion of -1 in re 0.368 * [backup-simplify]: Simplify -1 into -1 0.368 * [taylor]: Taking taylor expansion of re in re 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 0.369 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.369 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.369 * [taylor]: Taking taylor expansion of -1 in re 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [backup-simplify]: Simplify im into im 0.369 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.369 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.369 * [taylor]: Taking taylor expansion of -1 in re 0.369 * [backup-simplify]: Simplify -1 into -1 0.369 * [taylor]: Taking taylor expansion of im in re 0.369 * [backup-simplify]: Simplify im into im 0.369 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.369 * [backup-simplify]: Simplify (* -1 -1) into 1 0.370 * [backup-simplify]: Simplify (+ 1 0) into 1 0.371 * [backup-simplify]: Simplify (sqrt 1) into 1 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.375 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.375 * [taylor]: Taking taylor expansion of re in re 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (/ 1 1) into 1 0.376 * [backup-simplify]: Simplify (- 1) into -1 0.376 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (- 0) into 0 0.378 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.381 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.381 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.383 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.388 * [backup-simplify]: Simplify (sqrt 0) into 0 0.389 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.389 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.389 * [taylor]: Taking taylor expansion of 2.0 in re 0.389 * [backup-simplify]: Simplify 2.0 into 2.0 0.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.390 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.390 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.390 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.391 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.391 * [taylor]: Taking taylor expansion of -1 in re 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (/ -1 1) into -1 0.391 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.391 * [taylor]: Taking taylor expansion of -1 in re 0.391 * [backup-simplify]: Simplify -1 into -1 0.391 * [taylor]: Taking taylor expansion of re in re 0.391 * [backup-simplify]: Simplify 0 into 0 0.391 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (/ -1 1) into -1 0.392 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.392 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.392 * [taylor]: Taking taylor expansion of -1 in re 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [taylor]: Taking taylor expansion of im in re 0.392 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.392 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.392 * [taylor]: Taking taylor expansion of -1 in re 0.392 * [backup-simplify]: Simplify -1 into -1 0.392 * [taylor]: Taking taylor expansion of im in re 0.392 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.392 * [backup-simplify]: Simplify (* -1 -1) into 1 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [backup-simplify]: Simplify (sqrt 1) into 1 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.396 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.397 * [taylor]: Taking taylor expansion of re in re 0.397 * [backup-simplify]: Simplify 0 into 0 0.397 * [backup-simplify]: Simplify 1 into 1 0.397 * [backup-simplify]: Simplify (/ 1 1) into 1 0.398 * [backup-simplify]: Simplify (- 1) into -1 0.398 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify (- 0) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.403 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.403 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.406 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.406 * [backup-simplify]: Simplify (sqrt 0) into 0 0.407 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.408 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.408 * [taylor]: Taking taylor expansion of 0 in im 0.408 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.409 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.409 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.409 * [taylor]: Taking taylor expansion of +nan.0 in im 0.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.409 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.409 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.409 * [taylor]: Taking taylor expansion of 2.0 in im 0.409 * [backup-simplify]: Simplify 2.0 into 2.0 0.409 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.410 * [taylor]: Taking taylor expansion of im in im 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.414 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.415 * [backup-simplify]: Simplify (- 0) into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 0 into 0 0.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.418 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.418 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.419 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.419 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.419 * [backup-simplify]: Simplify (+ 0 0) into 0 0.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.423 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.424 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.425 * [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)))) 0.425 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.425 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.425 * [taylor]: Taking taylor expansion of +nan.0 in im 0.425 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.425 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.425 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.425 * [taylor]: Taking taylor expansion of 2.0 in im 0.425 * [backup-simplify]: Simplify 2.0 into 2.0 0.425 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.426 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.426 * [taylor]: Taking taylor expansion of im in im 0.426 * [backup-simplify]: Simplify 0 into 0 0.426 * [backup-simplify]: Simplify 1 into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.429 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.443 * [backup-simplify]: Simplify (- 0) into 0 0.443 * [backup-simplify]: Simplify 0 into 0 0.444 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.447 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.447 * [backup-simplify]: Simplify (- 0) into 0 0.447 * [backup-simplify]: Simplify 0 into 0 0.448 * [backup-simplify]: Simplify 0 into 0 0.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.451 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.451 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.452 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.452 * [backup-simplify]: Simplify (+ 0 0) into 0 0.454 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.455 * [backup-simplify]: Simplify (- 0) into 0 0.455 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.456 * [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))))) 0.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.459 * [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)))))) 0.459 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.459 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.459 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.459 * [taylor]: Taking taylor expansion of +nan.0 in im 0.459 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.459 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.459 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.459 * [taylor]: Taking taylor expansion of 2.0 in im 0.459 * [backup-simplify]: Simplify 2.0 into 2.0 0.459 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.460 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.460 * [taylor]: Taking taylor expansion of im in im 0.460 * [backup-simplify]: Simplify 0 into 0 0.460 * [backup-simplify]: Simplify 1 into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.461 * [backup-simplify]: Simplify (* 1 1) into 1 0.462 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.462 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.462 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.462 * [taylor]: Taking taylor expansion of +nan.0 in im 0.462 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.462 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.462 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.462 * [taylor]: Taking taylor expansion of 2.0 in im 0.462 * [backup-simplify]: Simplify 2.0 into 2.0 0.463 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.463 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.464 * [backup-simplify]: Simplify 0 into 0 0.464 * [backup-simplify]: Simplify 1 into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.464 * [backup-simplify]: Simplify (* 1 1) into 1 0.465 * [backup-simplify]: Simplify (* 1 1) into 1 0.466 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.473 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.478 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.496 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.496 * [backup-simplify]: Simplify (- 0) into 0 0.496 * [backup-simplify]: Simplify (+ 0 0) into 0 0.497 * [backup-simplify]: Simplify (- 0) into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 0.497 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 0.497 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 0.497 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 0.497 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.497 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.497 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.497 * [taylor]: Taking taylor expansion of (* re re) in im 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [backup-simplify]: Simplify re into re 0.497 * [taylor]: Taking taylor expansion of re in im 0.497 * [backup-simplify]: Simplify re into re 0.497 * [taylor]: Taking taylor expansion of (* im im) in im 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [taylor]: Taking taylor expansion of im in im 0.497 * [backup-simplify]: Simplify 0 into 0 0.497 * [backup-simplify]: Simplify 1 into 1 0.497 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.498 * [backup-simplify]: Simplify (* 0 0) into 0 0.498 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.498 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.498 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.498 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.499 * [taylor]: Taking taylor expansion of re in im 0.499 * [backup-simplify]: Simplify re into re 0.499 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.499 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.499 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.499 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.499 * [taylor]: Taking taylor expansion of (* re re) in re 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of re in re 0.499 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify 1 into 1 0.499 * [taylor]: Taking taylor expansion of (* im im) in re 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [backup-simplify]: Simplify im into im 0.499 * [taylor]: Taking taylor expansion of im in re 0.499 * [backup-simplify]: Simplify im into im 0.499 * [backup-simplify]: Simplify (* 0 0) into 0 0.499 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.499 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.499 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.500 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.500 * [backup-simplify]: Simplify (+ 0 0) into 0 0.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.500 * [taylor]: Taking taylor expansion of re in re 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 0.500 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.500 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.500 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.500 * [taylor]: Taking taylor expansion of (* re re) in re 0.500 * [taylor]: Taking taylor expansion of re in re 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of re in re 0.500 * [backup-simplify]: Simplify 0 into 0 0.500 * [backup-simplify]: Simplify 1 into 1 0.500 * [taylor]: Taking taylor expansion of (* im im) in re 0.500 * [taylor]: Taking taylor expansion of im in re 0.500 * [backup-simplify]: Simplify im into im 0.500 * [taylor]: Taking taylor expansion of im in re 0.500 * [backup-simplify]: Simplify im into im 0.501 * [backup-simplify]: Simplify (* 0 0) into 0 0.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.501 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.501 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.501 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.501 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.501 * [backup-simplify]: Simplify (+ 0 0) into 0 0.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.502 * [taylor]: Taking taylor expansion of re in re 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify (+ im 0) into im 0.502 * [taylor]: Taking taylor expansion of im in im 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (+ 0 1) into 1 0.502 * [taylor]: Taking taylor expansion of 1 in im 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify 1 into 1 0.502 * [backup-simplify]: Simplify 1 into 1 0.503 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.503 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.503 * [backup-simplify]: Simplify (+ 1 0) into 1 0.504 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.504 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.504 * [taylor]: Taking taylor expansion of 1/2 in im 0.504 * [backup-simplify]: Simplify 1/2 into 1/2 0.504 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.504 * [taylor]: Taking taylor expansion of im in im 0.504 * [backup-simplify]: Simplify 0 into 0 0.504 * [backup-simplify]: Simplify 1 into 1 0.504 * [backup-simplify]: Simplify (/ 1 1) into 1 0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.505 * [backup-simplify]: Simplify 0 into 0 0.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.506 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.507 * [backup-simplify]: Simplify (+ 0 0) into 0 0.507 * [taylor]: Taking taylor expansion of 0 in im 0.507 * [backup-simplify]: Simplify 0 into 0 0.507 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.508 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.509 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 0.509 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [backup-simplify]: Simplify re into re 0.509 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.509 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.509 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.509 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [backup-simplify]: Simplify re into re 0.509 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.509 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.509 * [taylor]: Taking taylor expansion of re in im 0.509 * [backup-simplify]: Simplify re into re 0.509 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.509 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.509 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.509 * [backup-simplify]: Simplify (/ 1 1) into 1 0.509 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.509 * [taylor]: Taking taylor expansion of im in im 0.509 * [backup-simplify]: Simplify 0 into 0 0.509 * [backup-simplify]: Simplify 1 into 1 0.510 * [backup-simplify]: Simplify (/ 1 1) into 1 0.510 * [backup-simplify]: Simplify (* 1 1) into 1 0.510 * [backup-simplify]: Simplify (+ 0 1) into 1 0.511 * [backup-simplify]: Simplify (sqrt 1) into 1 0.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.513 * [backup-simplify]: Simplify (+ 0 0) into 0 0.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.514 * [taylor]: Taking taylor expansion of re in re 0.514 * [backup-simplify]: Simplify 0 into 0 0.514 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.515 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.515 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.515 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.515 * [taylor]: Taking taylor expansion of re in re 0.515 * [backup-simplify]: Simplify 0 into 0 0.515 * [backup-simplify]: Simplify 1 into 1 0.515 * [backup-simplify]: Simplify (/ 1 1) into 1 0.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.516 * [taylor]: Taking taylor expansion of re in re 0.516 * [backup-simplify]: Simplify 0 into 0 0.516 * [backup-simplify]: Simplify 1 into 1 0.516 * [backup-simplify]: Simplify (/ 1 1) into 1 0.516 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.516 * [taylor]: Taking taylor expansion of im in re 0.516 * [backup-simplify]: Simplify im into im 0.516 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.516 * [taylor]: Taking taylor expansion of im in re 0.516 * [backup-simplify]: Simplify im into im 0.516 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.517 * [backup-simplify]: Simplify (* 1 1) into 1 0.517 * [backup-simplify]: Simplify (+ 1 0) into 1 0.518 * [backup-simplify]: Simplify (sqrt 1) into 1 0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.525 * [backup-simplify]: Simplify (+ 0 0) into 0 0.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 0.527 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.527 * [taylor]: Taking taylor expansion of re in re 0.527 * [backup-simplify]: Simplify 0 into 0 0.527 * [backup-simplify]: Simplify 1 into 1 0.527 * [backup-simplify]: Simplify (/ 1 1) into 1 0.527 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.527 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.527 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.527 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.528 * [taylor]: Taking taylor expansion of re in re 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.528 * [backup-simplify]: Simplify (/ 1 1) into 1 0.528 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.528 * [taylor]: Taking taylor expansion of re in re 0.528 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify 1 into 1 0.529 * [backup-simplify]: Simplify (/ 1 1) into 1 0.529 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.529 * [taylor]: Taking taylor expansion of im in re 0.529 * [backup-simplify]: Simplify im into im 0.529 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.529 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.529 * [taylor]: Taking taylor expansion of im in re 0.529 * [backup-simplify]: Simplify im into im 0.529 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.530 * [backup-simplify]: Simplify (* 1 1) into 1 0.530 * [backup-simplify]: Simplify (+ 1 0) into 1 0.530 * [backup-simplify]: Simplify (sqrt 1) into 1 0.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.533 * [backup-simplify]: Simplify (+ 0 0) into 0 0.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.535 * [backup-simplify]: Simplify (+ 1 1) into 2 0.535 * [taylor]: Taking taylor expansion of 2 in im 0.535 * [backup-simplify]: Simplify 2 into 2 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 2 into 2 0.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.540 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.541 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.542 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.542 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.542 * [taylor]: Taking taylor expansion of 1/2 in im 0.542 * [backup-simplify]: Simplify 1/2 into 1/2 0.542 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.542 * [taylor]: Taking taylor expansion of (pow im 2) 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 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.550 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.552 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [taylor]: Taking taylor expansion of 0 in im 0.552 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.555 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.555 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.555 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.555 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.555 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.555 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.555 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.555 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.555 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.555 * [taylor]: Taking taylor expansion of -1 in im 0.555 * [backup-simplify]: Simplify -1 into -1 0.555 * [taylor]: Taking taylor expansion of im in im 0.555 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.556 * [taylor]: Taking taylor expansion of -1 in im 0.556 * [backup-simplify]: Simplify -1 into -1 0.556 * [taylor]: Taking taylor expansion of im in im 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ -1 1) into -1 0.556 * [backup-simplify]: Simplify (* -1 -1) into 1 0.557 * [backup-simplify]: Simplify (+ 0 1) into 1 0.557 * [backup-simplify]: Simplify (sqrt 1) into 1 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.559 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.559 * [taylor]: Taking taylor expansion of re in im 0.559 * [backup-simplify]: Simplify re into re 0.559 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.559 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.559 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.559 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.559 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.559 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.559 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.559 * [taylor]: Taking taylor expansion of -1 in re 0.559 * [backup-simplify]: Simplify -1 into -1 0.559 * [taylor]: Taking taylor expansion of re in re 0.559 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ -1 1) into -1 0.560 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (/ -1 1) into -1 0.560 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [backup-simplify]: Simplify im into im 0.560 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.560 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.560 * [taylor]: Taking taylor expansion of -1 in re 0.560 * [backup-simplify]: Simplify -1 into -1 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [backup-simplify]: Simplify im into im 0.560 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.560 * [backup-simplify]: Simplify (* -1 -1) into 1 0.561 * [backup-simplify]: Simplify (+ 1 0) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.561 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.563 * [backup-simplify]: Simplify (+ 0 0) into 0 0.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.563 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.563 * [taylor]: Taking taylor expansion of re in re 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (/ 1 1) into 1 0.563 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.563 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.563 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.564 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.564 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of re in re 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.564 * [backup-simplify]: Simplify (/ -1 1) into -1 0.564 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [backup-simplify]: Simplify im into im 0.564 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.564 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.564 * [taylor]: Taking taylor expansion of -1 in re 0.564 * [backup-simplify]: Simplify -1 into -1 0.564 * [taylor]: Taking taylor expansion of im in re 0.564 * [backup-simplify]: Simplify im into im 0.565 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.565 * [backup-simplify]: Simplify (* -1 -1) into 1 0.565 * [backup-simplify]: Simplify (+ 1 0) into 1 0.565 * [backup-simplify]: Simplify (sqrt 1) into 1 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.567 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.567 * [taylor]: Taking taylor expansion of re in re 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify (/ 1 1) into 1 0.568 * [backup-simplify]: Simplify (- 1) into -1 0.568 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.568 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify (- 0) into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [taylor]: Taking taylor expansion of 0 in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.571 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.571 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.572 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.573 * [backup-simplify]: Simplify (- 0) into 0 0.573 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.573 * [taylor]: Taking taylor expansion of 1/2 in im 0.573 * [backup-simplify]: Simplify 1/2 into 1/2 0.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.573 * [taylor]: Taking taylor expansion of im in im 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (* 1 1) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.577 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.578 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- 0) into 0 0.579 * [backup-simplify]: Simplify (+ 0 0) into 0 0.579 * [taylor]: Taking taylor expansion of 0 in im 0.579 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 0.581 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.581 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.581 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.581 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.581 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.581 * [taylor]: Taking taylor expansion of (* re re) in im 0.581 * [taylor]: Taking taylor expansion of re in im 0.581 * [backup-simplify]: Simplify re into re 0.581 * [taylor]: Taking taylor expansion of re in im 0.581 * [backup-simplify]: Simplify re into re 0.581 * [taylor]: Taking taylor expansion of (* im im) in im 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [taylor]: Taking taylor expansion of im in im 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.582 * [backup-simplify]: Simplify (* 0 0) into 0 0.582 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.582 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.582 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.582 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.583 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.583 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.583 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.583 * [taylor]: Taking taylor expansion of (* re re) in re 0.583 * [taylor]: Taking taylor expansion of re in re 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of re in re 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 1 into 1 0.583 * [taylor]: Taking taylor expansion of (* im im) in re 0.583 * [taylor]: Taking taylor expansion of im in re 0.583 * [backup-simplify]: Simplify im into im 0.583 * [taylor]: Taking taylor expansion of im in re 0.583 * [backup-simplify]: Simplify im into im 0.583 * [backup-simplify]: Simplify (* 0 0) into 0 0.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.584 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.584 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.584 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.585 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.585 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.585 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.585 * [taylor]: Taking taylor expansion of (* re re) in re 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of re in re 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 1 into 1 0.585 * [taylor]: Taking taylor expansion of (* im im) in re 0.585 * [taylor]: Taking taylor expansion of im in re 0.585 * [backup-simplify]: Simplify im into im 0.585 * [taylor]: Taking taylor expansion of im in re 0.585 * [backup-simplify]: Simplify im into im 0.586 * [backup-simplify]: Simplify (* 0 0) into 0 0.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.586 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.586 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.587 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.587 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.587 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.587 * [taylor]: Taking taylor expansion of im in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [taylor]: Taking taylor expansion of 0 in im 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.589 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.589 * [backup-simplify]: Simplify (+ 1 0) into 1 0.590 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.590 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.590 * [taylor]: Taking taylor expansion of 1/2 in im 0.590 * [backup-simplify]: Simplify 1/2 into 1/2 0.590 * [taylor]: Taking taylor expansion of im in im 0.590 * [backup-simplify]: Simplify 0 into 0 0.590 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.594 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.594 * [backup-simplify]: Simplify (+ 0 0) into 0 0.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.594 * [taylor]: Taking taylor expansion of 0 in im 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.596 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.596 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.596 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.596 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.596 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.596 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.596 * [taylor]: Taking taylor expansion of re in im 0.596 * [backup-simplify]: Simplify re into re 0.596 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.596 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.596 * [taylor]: Taking taylor expansion of re in im 0.596 * [backup-simplify]: Simplify re into re 0.596 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.596 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.596 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.596 * [taylor]: Taking taylor expansion of im in im 0.596 * [backup-simplify]: Simplify 0 into 0 0.596 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.597 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.597 * [taylor]: Taking taylor expansion of im in im 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 1 into 1 0.597 * [backup-simplify]: Simplify (/ 1 1) into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.598 * [backup-simplify]: Simplify (+ 0 1) into 1 0.599 * [backup-simplify]: Simplify (sqrt 1) into 1 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.602 * [backup-simplify]: Simplify (+ 0 0) into 0 0.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.602 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.603 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.603 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.603 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.603 * [taylor]: Taking taylor expansion of re in re 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.603 * [taylor]: Taking taylor expansion of re in re 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.604 * [backup-simplify]: Simplify im into im 0.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.604 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.604 * [backup-simplify]: Simplify im into im 0.604 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.604 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (+ 1 0) into 1 0.605 * [backup-simplify]: Simplify (sqrt 1) into 1 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.609 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.609 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.609 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.609 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (/ 1 1) into 1 0.609 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.609 * [taylor]: Taking taylor expansion of re in re 0.609 * [backup-simplify]: Simplify 0 into 0 0.609 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.610 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.610 * [taylor]: Taking taylor expansion of im in re 0.610 * [backup-simplify]: Simplify im into im 0.610 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.610 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.610 * [taylor]: Taking taylor expansion of im in re 0.610 * [backup-simplify]: Simplify im into im 0.610 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (+ 1 0) into 1 0.611 * [backup-simplify]: Simplify (sqrt 1) into 1 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.615 * [taylor]: Taking taylor expansion of 1 in im 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [taylor]: Taking taylor expansion of 0 in im 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.617 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.617 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.617 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.617 * [taylor]: Taking taylor expansion of 1/2 in im 0.617 * [backup-simplify]: Simplify 1/2 into 1/2 0.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.617 * [taylor]: Taking taylor expansion of im in im 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.618 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.619 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.621 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.621 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in im 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.623 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.623 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.623 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.623 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.623 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.623 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.623 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.623 * [taylor]: Taking taylor expansion of -1 in im 0.623 * [backup-simplify]: Simplify -1 into -1 0.623 * [taylor]: Taking taylor expansion of re in im 0.623 * [backup-simplify]: Simplify re into re 0.623 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.623 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.623 * [taylor]: Taking taylor expansion of -1 in im 0.623 * [backup-simplify]: Simplify -1 into -1 0.623 * [taylor]: Taking taylor expansion of re in im 0.623 * [backup-simplify]: Simplify re into re 0.623 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.624 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.624 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.624 * [taylor]: Taking taylor expansion of -1 in im 0.624 * [backup-simplify]: Simplify -1 into -1 0.624 * [taylor]: Taking taylor expansion of im in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ -1 1) into -1 0.624 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.624 * [taylor]: Taking taylor expansion of -1 in im 0.624 * [backup-simplify]: Simplify -1 into -1 0.624 * [taylor]: Taking taylor expansion of im in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (/ -1 1) into -1 0.624 * [backup-simplify]: Simplify (* -1 -1) into 1 0.625 * [backup-simplify]: Simplify (+ 0 1) into 1 0.625 * [backup-simplify]: Simplify (sqrt 1) into 1 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.627 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.627 * [backup-simplify]: Simplify (+ 0 0) into 0 0.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.627 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.627 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.627 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.627 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.627 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.627 * [taylor]: Taking taylor expansion of -1 in re 0.627 * [backup-simplify]: Simplify -1 into -1 0.627 * [taylor]: Taking taylor expansion of re in re 0.627 * [backup-simplify]: Simplify 0 into 0 0.627 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ -1 1) into -1 0.628 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.628 * [taylor]: Taking taylor expansion of -1 in re 0.628 * [backup-simplify]: Simplify -1 into -1 0.628 * [taylor]: Taking taylor expansion of re in re 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ -1 1) into -1 0.628 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.628 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.628 * [taylor]: Taking taylor expansion of -1 in re 0.628 * [backup-simplify]: Simplify -1 into -1 0.628 * [taylor]: Taking taylor expansion of im in re 0.628 * [backup-simplify]: Simplify im into im 0.628 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.628 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.628 * [taylor]: Taking taylor expansion of -1 in re 0.628 * [backup-simplify]: Simplify -1 into -1 0.628 * [taylor]: Taking taylor expansion of im in re 0.628 * [backup-simplify]: Simplify im into im 0.628 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.629 * [backup-simplify]: Simplify (* -1 -1) into 1 0.629 * [backup-simplify]: Simplify (+ 1 0) into 1 0.629 * [backup-simplify]: Simplify (sqrt 1) into 1 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.631 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.631 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.631 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.631 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.631 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.631 * [taylor]: Taking taylor expansion of -1 in re 0.632 * [backup-simplify]: Simplify -1 into -1 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ -1 1) into -1 0.632 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.632 * [taylor]: Taking taylor expansion of -1 in re 0.632 * [backup-simplify]: Simplify -1 into -1 0.632 * [taylor]: Taking taylor expansion of re in re 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (/ -1 1) into -1 0.632 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.632 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.632 * [taylor]: Taking taylor expansion of -1 in re 0.632 * [backup-simplify]: Simplify -1 into -1 0.632 * [taylor]: Taking taylor expansion of im in re 0.632 * [backup-simplify]: Simplify im into im 0.633 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.633 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.633 * [taylor]: Taking taylor expansion of -1 in re 0.633 * [backup-simplify]: Simplify -1 into -1 0.633 * [taylor]: Taking taylor expansion of im in re 0.633 * [backup-simplify]: Simplify im into im 0.633 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.633 * [backup-simplify]: Simplify (* -1 -1) into 1 0.633 * [backup-simplify]: Simplify (+ 1 0) into 1 0.633 * [backup-simplify]: Simplify (sqrt 1) into 1 0.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.635 * [backup-simplify]: Simplify (+ 0 0) into 0 0.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.636 * [taylor]: Taking taylor expansion of 1 in im 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [taylor]: Taking taylor expansion of 0 in im 0.636 * [backup-simplify]: Simplify 0 into 0 0.636 * [backup-simplify]: Simplify 1 into 1 0.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.638 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.638 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.639 * [taylor]: Taking taylor expansion of 1/2 in im 0.639 * [backup-simplify]: Simplify 1/2 into 1/2 0.639 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.639 * [taylor]: Taking taylor expansion of im in im 0.639 * [backup-simplify]: Simplify 0 into 0 0.639 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.645 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.645 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.646 * [taylor]: Taking taylor expansion of 0 in im 0.646 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.649 * * * [progress]: simplifying candidates 0.649 * * * * [progress]: [ 1 / 54 ] simplifiying candidate # 0.649 * * * * [progress]: [ 2 / 54 ] simplifiying candidate # 0.649 * * * * [progress]: [ 3 / 54 ] simplifiying candidate # 0.649 * * * * [progress]: [ 4 / 54 ] simplifiying candidate # 0.649 * * * * [progress]: [ 5 / 54 ] simplifiying candidate # 0.649 * * * * [progress]: [ 6 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 7 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 8 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 9 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 10 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 11 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 12 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 13 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 14 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 15 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 16 / 54 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (hypot re im) re) 2.0))))))> 0.650 * * * * [progress]: [ 17 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 18 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 19 / 54 ] simplifiying candidate # 0.650 * * * * [progress]: [ 20 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 21 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 22 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 23 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 24 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 25 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 26 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 27 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 28 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 29 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 30 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 31 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 32 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 33 / 54 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re))) 2.0))))> 0.651 * * * * [progress]: [ 34 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 35 / 54 ] simplifiying candidate # 0.651 * * * * [progress]: [ 36 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 37 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 38 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 39 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 40 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 41 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 42 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 43 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 44 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 45 / 54 ] simplifiying candidate #real (real->posit16 (hypot re im))) re) 2.0))))> 0.652 * * * * [progress]: [ 46 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 47 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 48 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 49 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 50 / 54 ] simplifiying candidate # 0.652 * * * * [progress]: [ 51 / 54 ] simplifiying candidate # 0.653 * * * * [progress]: [ 52 / 54 ] simplifiying candidate # 0.653 * * * * [progress]: [ 53 / 54 ] simplifiying candidate # 0.653 * * * * [progress]: [ 54 / 54 ] simplifiying candidate # 0.654 * [simplify]: Simplifying: (expm1 (sqrt (* (+ (hypot re im) re) 2.0))) (log1p (sqrt (* (+ (hypot re im) re) 2.0))) (log (sqrt (* (+ (hypot re im) re) 2.0))) (exp (sqrt (* (+ (hypot re im) re) 2.0))) (* (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0)))) (cbrt (sqrt (* (+ (hypot re im) re) 2.0))) (* (* (sqrt (* (+ (hypot re im) re) 2.0)) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (+ (hypot re im) re)) (sqrt 2.0) (sqrt (* (+ (pow (hypot re im) 3) (pow re 3)) 2.0)) (sqrt (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (- (hypot re im) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (sqrt (sqrt (* (+ (hypot re im) re) 2.0))) (real->posit16 (sqrt (* (+ (hypot re im) re) 2.0))) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (real->posit16 (+ (hypot re im) re)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 (+ re im) (* 2 re) 0 im re (* -1 re) 0.655 * * [simplify]: iteration 1: (89 enodes) 0.689 * * [simplify]: iteration 2: (189 enodes) 0.774 * * [simplify]: iteration 3: (475 enodes) 1.044 * * [simplify]: iteration 4: (1315 enodes) 2.980 * * [simplify]: Extracting #0: cost 47 inf + 0 2.980 * * [simplify]: Extracting #1: cost 199 inf + 4 2.984 * * [simplify]: Extracting #2: cost 591 inf + 8868 3.007 * * [simplify]: Extracting #3: cost 266 inf + 76217 3.049 * * [simplify]: Extracting #4: cost 29 inf + 114621 3.098 * * [simplify]: Extracting #5: cost 3 inf + 120774 3.140 * * [simplify]: Extracting #6: cost 0 inf + 122163 3.183 * [simplify]: Simplified to: (expm1 (sqrt (* (+ re (hypot re im)) 2.0))) (log1p (sqrt (* (+ re (hypot re im)) 2.0))) (log (sqrt (* (+ re (hypot re im)) 2.0))) (exp (sqrt (* (+ re (hypot re im)) 2.0))) (* (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0)))) (cbrt (sqrt (* (+ re (hypot re im)) 2.0))) (* (* (+ re (hypot re im)) 2.0) (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* 2.0 (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))))) (sqrt (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im)))) (sqrt (* (- (* (hypot re im) (hypot re im)) (* re re)) 2.0)) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (sqrt (sqrt (* (+ re (hypot re im)) 2.0))) (real->posit16 (sqrt (* (+ re (hypot re im)) 2.0))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))) (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ re (hypot re im)) (real->posit16 (+ re (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (* (* +nan.0 (sqrt 2.0)) (fma (- re) re (- im re))) (- (fma (/ +nan.0 re) (/ (sqrt 2.0) re) (* +nan.0 (- (sqrt 2.0) (/ (sqrt 2.0) re))))) 0 (+ im re) (* 2 re) 0 im re (- re) 3.187 * * * [progress]: adding candidates to table 3.768 * * [progress]: iteration 2 / 4 3.768 * * * [progress]: picking best candidate 3.842 * * * * [pick]: Picked # 3.842 * * * [progress]: localizing error 3.858 * * * [progress]: generating rewritten candidates 3.858 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.887 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 3.892 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 1 1) 3.897 * * * [progress]: generating series expansions 3.897 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.898 * [backup-simplify]: Simplify (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) into (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) 3.898 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in (re im) around 0 3.898 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in im 3.898 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 3.898 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 3.898 * [taylor]: Taking taylor expansion of (hypot re im) in im 3.898 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.898 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 3.898 * [taylor]: Taking taylor expansion of (* re re) in im 3.898 * [taylor]: Taking taylor expansion of re in im 3.898 * [backup-simplify]: Simplify re into re 3.898 * [taylor]: Taking taylor expansion of re in im 3.898 * [backup-simplify]: Simplify re into re 3.898 * [taylor]: Taking taylor expansion of (* im im) in im 3.898 * [taylor]: Taking taylor expansion of im in im 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [taylor]: Taking taylor expansion of im in im 3.898 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify 1 into 1 3.898 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.899 * [backup-simplify]: Simplify (* 0 0) into 0 3.899 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.899 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.899 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.899 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.900 * [taylor]: Taking taylor expansion of re in im 3.900 * [backup-simplify]: Simplify re into re 3.900 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.900 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 3.900 * [backup-simplify]: Simplify (+ 0 0) into 0 3.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 3.900 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.900 * [taylor]: Taking taylor expansion of 2.0 in im 3.900 * [backup-simplify]: Simplify 2.0 into 2.0 3.901 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.901 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 3.901 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 3.901 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.901 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.901 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.901 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.901 * [taylor]: Taking taylor expansion of (* re re) in re 3.901 * [taylor]: Taking taylor expansion of re in re 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.902 * [taylor]: Taking taylor expansion of re in re 3.902 * [backup-simplify]: Simplify 0 into 0 3.902 * [backup-simplify]: Simplify 1 into 1 3.902 * [taylor]: Taking taylor expansion of (* im im) in re 3.902 * [taylor]: Taking taylor expansion of im in re 3.902 * [backup-simplify]: Simplify im into im 3.902 * [taylor]: Taking taylor expansion of im in re 3.902 * [backup-simplify]: Simplify im into im 3.902 * [backup-simplify]: Simplify (* 0 0) into 0 3.902 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.902 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.902 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.903 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.903 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.903 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.903 * [taylor]: Taking taylor expansion of re in re 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (+ im 0) into im 3.903 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.903 * [backup-simplify]: Simplify (+ 0 1) into 1 3.904 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.904 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.904 * [taylor]: Taking taylor expansion of 2.0 in re 3.904 * [backup-simplify]: Simplify 2.0 into 2.0 3.904 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.904 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) in re 3.904 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 3.904 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 3.904 * [taylor]: Taking taylor expansion of (hypot re im) in re 3.904 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 3.905 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 3.905 * [taylor]: Taking taylor expansion of (* re re) in re 3.905 * [taylor]: Taking taylor expansion of re in re 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of re in re 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [taylor]: Taking taylor expansion of (* im im) in re 3.905 * [taylor]: Taking taylor expansion of im in re 3.905 * [backup-simplify]: Simplify im into im 3.905 * [taylor]: Taking taylor expansion of im in re 3.905 * [backup-simplify]: Simplify im into im 3.905 * [backup-simplify]: Simplify (* 0 0) into 0 3.905 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.905 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.905 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.906 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 3.906 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.906 * [backup-simplify]: Simplify (+ 0 0) into 0 3.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.906 * [taylor]: Taking taylor expansion of re in re 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (+ im 0) into im 3.906 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 3.906 * [backup-simplify]: Simplify (+ 0 1) into 1 3.906 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 3.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.906 * [taylor]: Taking taylor expansion of 2.0 in re 3.906 * [backup-simplify]: Simplify 2.0 into 2.0 3.907 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.908 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 3.908 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 3.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.908 * [taylor]: Taking taylor expansion of 2.0 in im 3.908 * [backup-simplify]: Simplify 2.0 into 2.0 3.908 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.908 * [taylor]: Taking taylor expansion of (sqrt im) in im 3.908 * [taylor]: Taking taylor expansion of im in im 3.908 * [backup-simplify]: Simplify 0 into 0 3.908 * [backup-simplify]: Simplify 1 into 1 3.909 * [backup-simplify]: Simplify (sqrt 0) into 0 3.910 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.910 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.910 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 3.911 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 3.911 * [taylor]: Taking taylor expansion of 1/2 in im 3.911 * [backup-simplify]: Simplify 1/2 into 1/2 3.911 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 3.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.911 * [taylor]: Taking taylor expansion of 2.0 in im 3.911 * [backup-simplify]: Simplify 2.0 into 2.0 3.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 3.912 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.912 * [taylor]: Taking taylor expansion of im in im 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.912 * [backup-simplify]: Simplify (sqrt 0) into 0 3.913 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.915 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.916 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.919 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.921 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.922 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.923 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.924 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 3.924 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.925 * [backup-simplify]: Simplify (+ 1 0) into 1 3.925 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.925 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.926 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 3.927 * [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))))) 3.927 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 3.927 * [taylor]: Taking taylor expansion of 1/8 in im 3.927 * [backup-simplify]: Simplify 1/8 into 1/8 3.927 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 3.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.927 * [taylor]: Taking taylor expansion of 2.0 in im 3.927 * [backup-simplify]: Simplify 2.0 into 2.0 3.928 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 3.928 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 3.928 * [taylor]: Taking taylor expansion of (pow im 3) in im 3.928 * [taylor]: Taking taylor expansion of im in im 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 1 into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.929 * [backup-simplify]: Simplify (* 1 1) into 1 3.930 * [backup-simplify]: Simplify (/ 1 1) into 1 3.930 * [backup-simplify]: Simplify (sqrt 0) into 0 3.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.937 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.938 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.941 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.943 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.944 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.949 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.951 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.956 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 3.957 * [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))))) 3.957 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 3.957 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 3.957 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.957 * [taylor]: Taking taylor expansion of 2.0 in im 3.957 * [backup-simplify]: Simplify 2.0 into 2.0 3.957 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 3.958 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 3.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.958 * [taylor]: Taking taylor expansion of re in im 3.958 * [backup-simplify]: Simplify re into re 3.958 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.958 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 3.958 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.958 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 3.959 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 3.959 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.959 * [taylor]: Taking taylor expansion of re in im 3.959 * [backup-simplify]: Simplify re into re 3.959 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.959 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.959 * [taylor]: Taking taylor expansion of re in im 3.959 * [backup-simplify]: Simplify re into re 3.959 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.959 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 3.959 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.959 * [taylor]: Taking taylor expansion of im in im 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.959 * [backup-simplify]: Simplify (/ 1 1) into 1 3.959 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.959 * [taylor]: Taking taylor expansion of im in im 3.959 * [backup-simplify]: Simplify 0 into 0 3.959 * [backup-simplify]: Simplify 1 into 1 3.960 * [backup-simplify]: Simplify (/ 1 1) into 1 3.960 * [backup-simplify]: Simplify (* 1 1) into 1 3.961 * [backup-simplify]: Simplify (+ 0 1) into 1 3.961 * [backup-simplify]: Simplify (sqrt 1) into 1 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.963 * [backup-simplify]: Simplify (+ 0 0) into 0 3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.964 * [backup-simplify]: Simplify (+ 0 1) into 1 3.964 * [backup-simplify]: Simplify (sqrt 0) into 0 3.965 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.965 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 3.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.965 * [taylor]: Taking taylor expansion of 2.0 in re 3.965 * [backup-simplify]: Simplify 2.0 into 2.0 3.965 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.966 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.966 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.966 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.966 * [taylor]: Taking taylor expansion of re in re 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.966 * [backup-simplify]: Simplify (/ 1 1) into 1 3.966 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.966 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.966 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.966 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.966 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.966 * [taylor]: Taking taylor expansion of re in re 3.966 * [backup-simplify]: Simplify 0 into 0 3.966 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (/ 1 1) into 1 3.967 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.967 * [taylor]: Taking taylor expansion of re in re 3.967 * [backup-simplify]: Simplify 0 into 0 3.967 * [backup-simplify]: Simplify 1 into 1 3.967 * [backup-simplify]: Simplify (/ 1 1) into 1 3.967 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.967 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.967 * [taylor]: Taking taylor expansion of im in re 3.967 * [backup-simplify]: Simplify im into im 3.967 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.967 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.967 * [taylor]: Taking taylor expansion of im in re 3.967 * [backup-simplify]: Simplify im into im 3.967 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.967 * [backup-simplify]: Simplify (* 1 1) into 1 3.968 * [backup-simplify]: Simplify (+ 1 0) into 1 3.968 * [backup-simplify]: Simplify (sqrt 1) into 1 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.969 * [backup-simplify]: Simplify (+ 0 0) into 0 3.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.970 * [backup-simplify]: Simplify (+ 1 1) into 2 3.970 * [backup-simplify]: Simplify (sqrt 0) into 0 3.971 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.971 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 3.971 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.971 * [taylor]: Taking taylor expansion of 2.0 in re 3.971 * [backup-simplify]: Simplify 2.0 into 2.0 3.971 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 3.972 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 3.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.972 * [taylor]: Taking taylor expansion of re in re 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.972 * [backup-simplify]: Simplify (/ 1 1) into 1 3.972 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 3.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 3.972 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 3.972 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 3.972 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.972 * [taylor]: Taking taylor expansion of re in re 3.972 * [backup-simplify]: Simplify 0 into 0 3.972 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.973 * [taylor]: Taking taylor expansion of re in re 3.973 * [backup-simplify]: Simplify 0 into 0 3.973 * [backup-simplify]: Simplify 1 into 1 3.973 * [backup-simplify]: Simplify (/ 1 1) into 1 3.973 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 3.973 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.973 * [taylor]: Taking taylor expansion of im in re 3.973 * [backup-simplify]: Simplify im into im 3.973 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.973 * [taylor]: Taking taylor expansion of (/ 1 im) in re 3.973 * [taylor]: Taking taylor expansion of im in re 3.973 * [backup-simplify]: Simplify im into im 3.973 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.973 * [backup-simplify]: Simplify (* 1 1) into 1 3.974 * [backup-simplify]: Simplify (+ 1 0) into 1 3.974 * [backup-simplify]: Simplify (sqrt 1) into 1 3.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.975 * [backup-simplify]: Simplify (+ 0 0) into 0 3.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.976 * [backup-simplify]: Simplify (+ 1 1) into 2 3.976 * [backup-simplify]: Simplify (sqrt 0) into 0 3.977 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 3.978 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.978 * [taylor]: Taking taylor expansion of 0 in im 3.978 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.979 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.979 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.979 * [taylor]: Taking taylor expansion of +nan.0 in im 3.979 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.979 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.979 * [taylor]: Taking taylor expansion of 2.0 in im 3.979 * [backup-simplify]: Simplify 2.0 into 2.0 3.979 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.981 * [backup-simplify]: Simplify (+ 0 0) into 0 3.982 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.983 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.985 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 3.985 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 3.985 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.985 * [taylor]: Taking taylor expansion of +nan.0 in im 3.985 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.985 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.985 * [taylor]: Taking taylor expansion of 2.0 in im 3.985 * [backup-simplify]: Simplify 2.0 into 2.0 3.985 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.986 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.987 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.988 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.988 * [backup-simplify]: Simplify 0 into 0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.990 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 3.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 3.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.992 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.994 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 3.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.997 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) 3.997 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 3.997 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 3.997 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 3.997 * [taylor]: Taking taylor expansion of +nan.0 in im 3.997 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.997 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.997 * [taylor]: Taking taylor expansion of 2.0 in im 3.997 * [backup-simplify]: Simplify 2.0 into 2.0 3.998 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.999 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 3.999 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 3.999 * [taylor]: Taking taylor expansion of +nan.0 in im 3.999 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.999 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 3.999 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.999 * [taylor]: Taking taylor expansion of 2.0 in im 3.999 * [backup-simplify]: Simplify 2.0 into 2.0 3.999 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.000 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.000 * [taylor]: Taking taylor expansion of im in im 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.005 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.005 * [backup-simplify]: Simplify (- 0) into 0 4.006 * [backup-simplify]: Simplify (+ 0 0) into 0 4.006 * [backup-simplify]: Simplify (- 0) into 0 4.006 * [backup-simplify]: Simplify 0 into 0 4.007 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.009 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.010 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.011 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.012 * [backup-simplify]: Simplify (- 0) into 0 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)) (* 0 (/ 0 1)))) into 0 4.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.021 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.021 * [backup-simplify]: Simplify (+ 0 0) into 0 4.022 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.022 * [backup-simplify]: Simplify (+ 0 0) into 0 4.023 * [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))) 4.025 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.027 * [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)))))) 4.027 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 4.027 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 4.027 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 4.027 * [taylor]: Taking taylor expansion of +nan.0 in im 4.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.027 * [taylor]: Taking taylor expansion of 2.0 in im 4.027 * [backup-simplify]: Simplify 2.0 into 2.0 4.028 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.029 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.029 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.029 * [taylor]: Taking taylor expansion of +nan.0 in im 4.029 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.029 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.029 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.029 * [taylor]: Taking taylor expansion of 2.0 in im 4.029 * [backup-simplify]: Simplify 2.0 into 2.0 4.029 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.030 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.030 * [taylor]: Taking taylor expansion of im in im 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.031 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.035 * [backup-simplify]: Simplify (+ 0 0) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.035 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 4.038 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.042 * [backup-simplify]: Simplify (- 0) into 0 4.043 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 4.046 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 4.048 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 4.052 * [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)))))))) 4.052 * [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)) 4.052 * [approximate]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 4.052 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in im 4.052 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 4.052 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.052 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.052 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.052 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.052 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.052 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.052 * [taylor]: Taking taylor expansion of -1 in im 4.052 * [backup-simplify]: Simplify -1 into -1 4.052 * [taylor]: Taking taylor expansion of re in im 4.052 * [backup-simplify]: Simplify re into re 4.052 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.052 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.053 * [taylor]: Taking taylor expansion of -1 in im 4.053 * [backup-simplify]: Simplify -1 into -1 4.053 * [taylor]: Taking taylor expansion of re in im 4.053 * [backup-simplify]: Simplify re into re 4.053 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.053 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.053 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.053 * [taylor]: Taking taylor expansion of -1 in im 4.053 * [backup-simplify]: Simplify -1 into -1 4.053 * [taylor]: Taking taylor expansion of im in im 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (/ -1 1) into -1 4.053 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.053 * [taylor]: Taking taylor expansion of -1 in im 4.053 * [backup-simplify]: Simplify -1 into -1 4.053 * [taylor]: Taking taylor expansion of im in im 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 1 into 1 4.053 * [backup-simplify]: Simplify (/ -1 1) into -1 4.054 * [backup-simplify]: Simplify (* -1 -1) into 1 4.054 * [backup-simplify]: Simplify (+ 0 1) into 1 4.054 * [backup-simplify]: Simplify (sqrt 1) into 1 4.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.056 * [backup-simplify]: Simplify (+ 0 0) into 0 4.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.056 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.056 * [taylor]: Taking taylor expansion of re in im 4.056 * [backup-simplify]: Simplify re into re 4.056 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.057 * [backup-simplify]: Simplify (+ 1 0) into 1 4.057 * [backup-simplify]: Simplify (sqrt 0) into 0 4.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.058 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.058 * [taylor]: Taking taylor expansion of 2.0 in im 4.058 * [backup-simplify]: Simplify 2.0 into 2.0 4.058 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.059 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 4.059 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 4.059 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.059 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.059 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.059 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.059 * [taylor]: Taking taylor expansion of -1 in re 4.059 * [backup-simplify]: Simplify -1 into -1 4.059 * [taylor]: Taking taylor expansion of re in re 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (/ -1 1) into -1 4.059 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.059 * [taylor]: Taking taylor expansion of -1 in re 4.059 * [backup-simplify]: Simplify -1 into -1 4.059 * [taylor]: Taking taylor expansion of re in re 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify 1 into 1 4.060 * [backup-simplify]: Simplify (/ -1 1) into -1 4.060 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.060 * [taylor]: Taking taylor expansion of -1 in re 4.060 * [backup-simplify]: Simplify -1 into -1 4.060 * [taylor]: Taking taylor expansion of im in re 4.060 * [backup-simplify]: Simplify im into im 4.060 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.060 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.060 * [taylor]: Taking taylor expansion of -1 in re 4.060 * [backup-simplify]: Simplify -1 into -1 4.060 * [taylor]: Taking taylor expansion of im in re 4.060 * [backup-simplify]: Simplify im into im 4.060 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.060 * [backup-simplify]: Simplify (* -1 -1) into 1 4.061 * [backup-simplify]: Simplify (+ 1 0) into 1 4.061 * [backup-simplify]: Simplify (sqrt 1) into 1 4.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.063 * [backup-simplify]: Simplify (+ 0 0) into 0 4.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.063 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.063 * [taylor]: Taking taylor expansion of re in re 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ 1 1) into 1 4.064 * [backup-simplify]: Simplify (- 1) into -1 4.064 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 0) into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.067 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.068 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.069 * [backup-simplify]: Simplify (- 0) into 0 4.069 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.069 * [backup-simplify]: Simplify (sqrt 0) into 0 4.070 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 4.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.070 * [taylor]: Taking taylor expansion of 2.0 in re 4.070 * [backup-simplify]: Simplify 2.0 into 2.0 4.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.070 * [taylor]: Taking taylor expansion of (* (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) (sqrt 2.0)) in re 4.070 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 4.071 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.071 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.071 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.071 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.071 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.071 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.071 * [taylor]: Taking taylor expansion of -1 in re 4.071 * [backup-simplify]: Simplify -1 into -1 4.071 * [taylor]: Taking taylor expansion of re in re 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (/ -1 1) into -1 4.071 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.071 * [taylor]: Taking taylor expansion of -1 in re 4.071 * [backup-simplify]: Simplify -1 into -1 4.071 * [taylor]: Taking taylor expansion of re in re 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [backup-simplify]: Simplify (/ -1 1) into -1 4.071 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.071 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.071 * [taylor]: Taking taylor expansion of -1 in re 4.071 * [backup-simplify]: Simplify -1 into -1 4.071 * [taylor]: Taking taylor expansion of im in re 4.071 * [backup-simplify]: Simplify im into im 4.071 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.072 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.072 * [taylor]: Taking taylor expansion of -1 in re 4.072 * [backup-simplify]: Simplify -1 into -1 4.072 * [taylor]: Taking taylor expansion of im in re 4.072 * [backup-simplify]: Simplify im into im 4.072 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.072 * [backup-simplify]: Simplify (* -1 -1) into 1 4.072 * [backup-simplify]: Simplify (+ 1 0) into 1 4.072 * [backup-simplify]: Simplify (sqrt 1) into 1 4.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.074 * [backup-simplify]: Simplify (+ 0 0) into 0 4.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.075 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.075 * [taylor]: Taking taylor expansion of re in re 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.075 * [backup-simplify]: Simplify (/ 1 1) into 1 4.075 * [backup-simplify]: Simplify (- 1) into -1 4.075 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (- 0) into 0 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.078 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.078 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.080 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.081 * [backup-simplify]: Simplify (- 0) into 0 4.081 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.082 * [backup-simplify]: Simplify (sqrt 0) into 0 4.083 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 4.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 4.083 * [taylor]: Taking taylor expansion of 2.0 in re 4.083 * [backup-simplify]: Simplify 2.0 into 2.0 4.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.085 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 4.085 * [taylor]: Taking taylor expansion of 0 in im 4.085 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify (+ (* 0 0) (* (/ +nan.0 (pow im 2)) (sqrt 2.0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 4.086 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 4.086 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 4.086 * [taylor]: Taking taylor expansion of +nan.0 in im 4.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.086 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 4.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.086 * [taylor]: Taking taylor expansion of 2.0 in im 4.086 * [backup-simplify]: Simplify 2.0 into 2.0 4.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.087 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.087 * [taylor]: Taking taylor expansion of im in im 4.087 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify 1 into 1 4.088 * [backup-simplify]: Simplify (* 1 1) into 1 4.089 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.091 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 4.092 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.092 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.097 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.097 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.097 * [backup-simplify]: Simplify (+ 0 0) into 0 4.098 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (- 0) into 0 4.100 * [backup-simplify]: Simplify (+ 0 0) into 0 4.101 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 4.102 * [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)))) 4.102 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 4.102 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.102 * [taylor]: Taking taylor expansion of +nan.0 in im 4.102 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.102 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.102 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.102 * [taylor]: Taking taylor expansion of 2.0 in im 4.102 * [backup-simplify]: Simplify 2.0 into 2.0 4.102 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.103 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.103 * [taylor]: Taking taylor expansion of im in im 4.103 * [backup-simplify]: Simplify 0 into 0 4.103 * [backup-simplify]: Simplify 1 into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.104 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.117 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 4.117 * [backup-simplify]: Simplify (- 0) into 0 4.117 * [backup-simplify]: Simplify 0 into 0 4.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.120 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 4.120 * [backup-simplify]: Simplify (- 0) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 4.123 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.123 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 4.123 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 4.124 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 4.126 * [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))))) 4.127 * [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)))))) 4.127 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 4.127 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 4.127 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 4.127 * [taylor]: Taking taylor expansion of +nan.0 in im 4.127 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.127 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 4.127 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.127 * [taylor]: Taking taylor expansion of 2.0 in im 4.127 * [backup-simplify]: Simplify 2.0 into 2.0 4.127 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.128 * [taylor]: Taking taylor expansion of (pow im 4) in im 4.128 * [taylor]: Taking taylor expansion of im in im 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.129 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.129 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 4.129 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 4.129 * [taylor]: Taking taylor expansion of +nan.0 in im 4.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.129 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 4.129 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 4.129 * [taylor]: Taking taylor expansion of 2.0 in im 4.129 * [backup-simplify]: Simplify 2.0 into 2.0 4.129 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 4.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 4.130 * [taylor]: Taking taylor expansion of (pow im 6) in im 4.130 * [taylor]: Taking taylor expansion of im in im 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 1) into 1 4.130 * [backup-simplify]: Simplify (* 1 1) into 1 4.131 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 4.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.132 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 4.141 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 4.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.144 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 4.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.171 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 4.171 * [backup-simplify]: Simplify (- 0) into 0 4.171 * [backup-simplify]: Simplify (+ 0 0) into 0 4.172 * [backup-simplify]: Simplify (- 0) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.172 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 4.172 * [backup-simplify]: Simplify (+ (hypot re im) re) into (+ (hypot re im) re) 4.172 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 4.172 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 4.172 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.172 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.172 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.172 * [taylor]: Taking taylor expansion of (* re re) in im 4.172 * [taylor]: Taking taylor expansion of re in im 4.172 * [backup-simplify]: Simplify re into re 4.172 * [taylor]: Taking taylor expansion of re in im 4.173 * [backup-simplify]: Simplify re into re 4.173 * [taylor]: Taking taylor expansion of (* im im) 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 * [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 (* re re) into (pow re 2) 4.174 * [backup-simplify]: Simplify (* 0 0) into 0 4.174 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.174 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.174 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.175 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.175 * [backup-simplify]: Simplify (+ 0 0) into 0 4.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.175 * [taylor]: Taking taylor expansion of re in im 4.175 * [backup-simplify]: Simplify re into re 4.175 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.175 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.175 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.175 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.175 * [taylor]: Taking taylor expansion of (* re re) in re 4.175 * [taylor]: Taking taylor expansion of re in re 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify 1 into 1 4.175 * [taylor]: Taking taylor expansion of re in re 4.175 * [backup-simplify]: Simplify 0 into 0 4.176 * [backup-simplify]: Simplify 1 into 1 4.176 * [taylor]: Taking taylor expansion of (* im im) in re 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [backup-simplify]: Simplify im into im 4.176 * [taylor]: Taking taylor expansion of im in re 4.176 * [backup-simplify]: Simplify im into im 4.176 * [backup-simplify]: Simplify (* 0 0) into 0 4.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.176 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.177 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.178 * [backup-simplify]: Simplify (+ 0 0) into 0 4.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.178 * [taylor]: Taking taylor expansion of re in re 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 4.178 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.178 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.178 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.178 * [taylor]: Taking taylor expansion of (* re re) in re 4.178 * [taylor]: Taking taylor expansion of re in re 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of re in re 4.178 * [backup-simplify]: Simplify 0 into 0 4.178 * [backup-simplify]: Simplify 1 into 1 4.178 * [taylor]: Taking taylor expansion of (* im im) in re 4.178 * [taylor]: Taking taylor expansion of im in re 4.178 * [backup-simplify]: Simplify im into im 4.178 * [taylor]: Taking taylor expansion of im in re 4.178 * [backup-simplify]: Simplify im into im 4.179 * [backup-simplify]: Simplify (* 0 0) into 0 4.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.179 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.179 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.180 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.180 * [backup-simplify]: Simplify (+ 0 0) into 0 4.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.180 * [taylor]: Taking taylor expansion of re in re 4.180 * [backup-simplify]: Simplify 0 into 0 4.180 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify (+ im 0) into im 4.181 * [taylor]: Taking taylor expansion of im in im 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify 0 into 0 4.181 * [backup-simplify]: Simplify (+ 0 1) into 1 4.181 * [taylor]: Taking taylor expansion of 1 in im 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify 1 into 1 4.181 * [backup-simplify]: Simplify 1 into 1 4.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.183 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.183 * [backup-simplify]: Simplify (+ 1 0) into 1 4.184 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.184 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 4.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 4.184 * [taylor]: Taking taylor expansion of 1/2 in im 4.184 * [backup-simplify]: Simplify 1/2 into 1/2 4.184 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.184 * [taylor]: Taking taylor expansion of im in im 4.184 * [backup-simplify]: Simplify 0 into 0 4.184 * [backup-simplify]: Simplify 1 into 1 4.185 * [backup-simplify]: Simplify (/ 1 1) into 1 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.186 * [backup-simplify]: Simplify 0 into 0 4.188 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.189 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.189 * [backup-simplify]: Simplify (+ 0 0) into 0 4.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.189 * [backup-simplify]: Simplify (+ 0 0) into 0 4.190 * [taylor]: Taking taylor expansion of 0 in im 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 4.192 * [backup-simplify]: Simplify (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 4.192 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 4.192 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 4.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.192 * [taylor]: Taking taylor expansion of re in im 4.192 * [backup-simplify]: Simplify re into re 4.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.192 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.192 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.193 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.193 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.193 * [taylor]: Taking taylor expansion of re in im 4.193 * [backup-simplify]: Simplify re into re 4.193 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.193 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.193 * [taylor]: Taking taylor expansion of re in im 4.193 * [backup-simplify]: Simplify re into re 4.193 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.193 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.193 * [taylor]: Taking taylor expansion of im in im 4.193 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify 1 into 1 4.193 * [backup-simplify]: Simplify (/ 1 1) into 1 4.193 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.193 * [taylor]: Taking taylor expansion of im in im 4.193 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify (/ 1 1) into 1 4.194 * [backup-simplify]: Simplify (* 1 1) into 1 4.195 * [backup-simplify]: Simplify (+ 0 1) into 1 4.195 * [backup-simplify]: Simplify (sqrt 1) into 1 4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.198 * [backup-simplify]: Simplify (+ 0 0) into 0 4.199 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.199 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.199 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.199 * [taylor]: Taking taylor expansion of re in re 4.199 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.200 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.200 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.200 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.200 * [taylor]: Taking taylor expansion of re in re 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.200 * [backup-simplify]: Simplify (/ 1 1) into 1 4.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.200 * [taylor]: Taking taylor expansion of re in re 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify 1 into 1 4.201 * [backup-simplify]: Simplify (/ 1 1) into 1 4.201 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.201 * [taylor]: Taking taylor expansion of im in re 4.201 * [backup-simplify]: Simplify im into im 4.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.201 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.201 * [taylor]: Taking taylor expansion of im in re 4.201 * [backup-simplify]: Simplify im into im 4.201 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.202 * [backup-simplify]: Simplify (* 1 1) into 1 4.202 * [backup-simplify]: Simplify (+ 1 0) into 1 4.202 * [backup-simplify]: Simplify (sqrt 1) into 1 4.203 * [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 4.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 4.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.206 * [taylor]: Taking taylor expansion of re in re 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (/ 1 1) into 1 4.206 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.206 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.206 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.207 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.207 * [taylor]: Taking taylor expansion of re in re 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (/ 1 1) into 1 4.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.207 * [taylor]: Taking taylor expansion of re in re 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [backup-simplify]: Simplify (/ 1 1) into 1 4.207 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.207 * [taylor]: Taking taylor expansion of im in re 4.207 * [backup-simplify]: Simplify im into im 4.207 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.207 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.207 * [taylor]: Taking taylor expansion of im in re 4.207 * [backup-simplify]: Simplify im into im 4.207 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.208 * [backup-simplify]: Simplify (* 1 1) into 1 4.208 * [backup-simplify]: Simplify (+ 1 0) into 1 4.208 * [backup-simplify]: Simplify (sqrt 1) into 1 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.210 * [backup-simplify]: Simplify (+ 0 0) into 0 4.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.210 * [backup-simplify]: Simplify (+ 1 1) into 2 4.210 * [taylor]: Taking taylor expansion of 2 in im 4.210 * [backup-simplify]: Simplify 2 into 2 4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify (+ 0 0) into 0 4.211 * [taylor]: Taking taylor expansion of 0 in im 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 2 into 2 4.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.214 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.215 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.215 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 4.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.215 * [taylor]: Taking taylor expansion of 1/2 in im 4.215 * [backup-simplify]: Simplify 1/2 into 1/2 4.215 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.215 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.215 * [taylor]: Taking taylor expansion of im in im 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (* 1 1) into 1 4.215 * [backup-simplify]: Simplify (/ 1 1) into 1 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.219 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.220 * [backup-simplify]: Simplify (+ 0 0) into 0 4.220 * [taylor]: Taking taylor expansion of 0 in im 4.220 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 4.222 * [backup-simplify]: Simplify (+ (hypot (/ 1 (- re)) (/ 1 (- im))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 4.222 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 4.222 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 4.222 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.222 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.222 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.222 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.222 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.222 * [taylor]: Taking taylor expansion of -1 in im 4.222 * [backup-simplify]: Simplify -1 into -1 4.222 * [taylor]: Taking taylor expansion of re in im 4.222 * [backup-simplify]: Simplify re into re 4.222 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.222 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.222 * [taylor]: Taking taylor expansion of -1 in im 4.222 * [backup-simplify]: Simplify -1 into -1 4.222 * [taylor]: Taking taylor expansion of re in im 4.222 * [backup-simplify]: Simplify re into re 4.223 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.223 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.223 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.223 * [taylor]: Taking taylor expansion of -1 in im 4.223 * [backup-simplify]: Simplify -1 into -1 4.223 * [taylor]: Taking taylor expansion of im in im 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ -1 1) into -1 4.223 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.223 * [taylor]: Taking taylor expansion of -1 in im 4.223 * [backup-simplify]: Simplify -1 into -1 4.223 * [taylor]: Taking taylor expansion of im in im 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (/ -1 1) into -1 4.224 * [backup-simplify]: Simplify (* -1 -1) into 1 4.224 * [backup-simplify]: Simplify (+ 0 1) into 1 4.224 * [backup-simplify]: Simplify (sqrt 1) into 1 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.226 * [backup-simplify]: Simplify (+ 0 0) into 0 4.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.226 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.226 * [taylor]: Taking taylor expansion of re in im 4.226 * [backup-simplify]: Simplify re into re 4.226 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.226 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.226 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.226 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.227 * [taylor]: Taking taylor expansion of -1 in re 4.227 * [backup-simplify]: Simplify -1 into -1 4.227 * [taylor]: Taking taylor expansion of re in re 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (/ -1 1) into -1 4.227 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.227 * [taylor]: Taking taylor expansion of -1 in re 4.227 * [backup-simplify]: Simplify -1 into -1 4.227 * [taylor]: Taking taylor expansion of re in re 4.227 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify 1 into 1 4.227 * [backup-simplify]: Simplify (/ -1 1) into -1 4.227 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.227 * [taylor]: Taking taylor expansion of -1 in re 4.227 * [backup-simplify]: Simplify -1 into -1 4.227 * [taylor]: Taking taylor expansion of im in re 4.227 * [backup-simplify]: Simplify im into im 4.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.227 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.227 * [taylor]: Taking taylor expansion of -1 in re 4.227 * [backup-simplify]: Simplify -1 into -1 4.227 * [taylor]: Taking taylor expansion of im in re 4.227 * [backup-simplify]: Simplify im into im 4.227 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.228 * [backup-simplify]: Simplify (* -1 -1) into 1 4.228 * [backup-simplify]: Simplify (+ 1 0) into 1 4.228 * [backup-simplify]: Simplify (sqrt 1) into 1 4.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.230 * [backup-simplify]: Simplify (+ 0 0) into 0 4.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.230 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.230 * [taylor]: Taking taylor expansion of re in re 4.230 * [backup-simplify]: Simplify 0 into 0 4.230 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ 1 1) into 1 4.231 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 4.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.231 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.231 * [taylor]: Taking taylor expansion of -1 in re 4.231 * [backup-simplify]: Simplify -1 into -1 4.231 * [taylor]: Taking taylor expansion of re in re 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.231 * [backup-simplify]: Simplify (/ -1 1) into -1 4.231 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.231 * [taylor]: Taking taylor expansion of -1 in re 4.231 * [backup-simplify]: Simplify -1 into -1 4.231 * [taylor]: Taking taylor expansion of re in re 4.231 * [backup-simplify]: Simplify 0 into 0 4.231 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (/ -1 1) into -1 4.232 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [backup-simplify]: Simplify -1 into -1 4.232 * [taylor]: Taking taylor expansion of im in re 4.232 * [backup-simplify]: Simplify im into im 4.232 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.232 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.232 * [taylor]: Taking taylor expansion of -1 in re 4.232 * [backup-simplify]: Simplify -1 into -1 4.232 * [taylor]: Taking taylor expansion of im in re 4.232 * [backup-simplify]: Simplify im into im 4.232 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.232 * [backup-simplify]: Simplify (* -1 -1) into 1 4.232 * [backup-simplify]: Simplify (+ 1 0) into 1 4.233 * [backup-simplify]: Simplify (sqrt 1) into 1 4.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.234 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.236 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.236 * [taylor]: Taking taylor expansion of re in re 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ 1 1) into 1 4.236 * [backup-simplify]: Simplify (- 1) into -1 4.237 * [backup-simplify]: Simplify (+ 1 -1) into 0 4.237 * [taylor]: Taking taylor expansion of 0 in im 4.237 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (- 0) into 0 4.239 * [backup-simplify]: Simplify (+ 0 0) into 0 4.239 * [taylor]: Taking taylor expansion of 0 in im 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.242 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.242 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.242 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.243 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (- 0) into 0 4.245 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 4.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 4.245 * [taylor]: Taking taylor expansion of 1/2 in im 4.245 * [backup-simplify]: Simplify 1/2 into 1/2 4.245 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 4.245 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.245 * [taylor]: Taking taylor expansion of im in im 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (* 1 1) into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.248 * [backup-simplify]: Simplify 0 into 0 4.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.252 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.252 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.252 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.252 * [backup-simplify]: Simplify (+ 0 0) into 0 4.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (- 0) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.255 * [taylor]: Taking taylor expansion of 0 in im 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify 0 into 0 4.259 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 1 1) 4.259 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 4.259 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 4.259 * [taylor]: Taking taylor expansion of (hypot re im) in im 4.259 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.259 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 4.259 * [taylor]: Taking taylor expansion of (* re re) in im 4.259 * [taylor]: Taking taylor expansion of re in im 4.259 * [backup-simplify]: Simplify re into re 4.259 * [taylor]: Taking taylor expansion of re in im 4.259 * [backup-simplify]: Simplify re into re 4.259 * [taylor]: Taking taylor expansion of (* im im) in im 4.259 * [taylor]: Taking taylor expansion of im in im 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [taylor]: Taking taylor expansion of im in im 4.259 * [backup-simplify]: Simplify 0 into 0 4.259 * [backup-simplify]: Simplify 1 into 1 4.259 * [backup-simplify]: Simplify (* re re) into (pow re 2) 4.260 * [backup-simplify]: Simplify (* 0 0) into 0 4.260 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 4.260 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 4.260 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 4.261 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.261 * [backup-simplify]: Simplify (+ 0 0) into 0 4.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 4.261 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.261 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.261 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.261 * [taylor]: Taking taylor expansion of (* re re) in re 4.261 * [taylor]: Taking taylor expansion of re in re 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of re in re 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [taylor]: Taking taylor expansion of (* im im) in re 4.261 * [taylor]: Taking taylor expansion of im in re 4.262 * [backup-simplify]: Simplify im into im 4.262 * [taylor]: Taking taylor expansion of im in re 4.262 * [backup-simplify]: Simplify im into im 4.262 * [backup-simplify]: Simplify (* 0 0) into 0 4.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.262 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.262 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.263 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.263 * [backup-simplify]: Simplify (+ 0 0) into 0 4.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.263 * [taylor]: Taking taylor expansion of (hypot re im) in re 4.263 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 4.263 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 4.263 * [taylor]: Taking taylor expansion of (* re re) in re 4.263 * [taylor]: Taking taylor expansion of re in re 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [taylor]: Taking taylor expansion of re in re 4.263 * [backup-simplify]: Simplify 0 into 0 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [taylor]: Taking taylor expansion of (* im im) in re 4.263 * [taylor]: Taking taylor expansion of im in re 4.263 * [backup-simplify]: Simplify im into im 4.263 * [taylor]: Taking taylor expansion of im in re 4.263 * [backup-simplify]: Simplify im into im 4.264 * [backup-simplify]: Simplify (* 0 0) into 0 4.264 * [backup-simplify]: Simplify (* im im) into (pow im 2) 4.264 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 4.264 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 4.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 4.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 4.265 * [taylor]: Taking taylor expansion of im in im 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [taylor]: Taking taylor expansion of 0 in im 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify 1 into 1 4.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 4.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 4.268 * [backup-simplify]: Simplify (+ 1 0) into 1 4.268 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 4.268 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 4.268 * [taylor]: Taking taylor expansion of 1/2 in im 4.268 * [backup-simplify]: Simplify 1/2 into 1/2 4.268 * [taylor]: Taking taylor expansion of im in im 4.268 * [backup-simplify]: Simplify 0 into 0 4.268 * [backup-simplify]: Simplify 1 into 1 4.269 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 4.271 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 4.271 * [backup-simplify]: Simplify (+ 0 0) into 0 4.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 4.271 * [taylor]: Taking taylor expansion of 0 in im 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 4.272 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 4.272 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 4.272 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 4.272 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.272 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 4.272 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 4.272 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.272 * [taylor]: Taking taylor expansion of re in im 4.272 * [backup-simplify]: Simplify re into re 4.272 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.272 * [taylor]: Taking taylor expansion of (/ 1 re) in im 4.272 * [taylor]: Taking taylor expansion of re in im 4.272 * [backup-simplify]: Simplify re into re 4.272 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 4.272 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 4.272 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.272 * [taylor]: Taking taylor expansion of im in im 4.272 * [backup-simplify]: Simplify 0 into 0 4.272 * [backup-simplify]: Simplify 1 into 1 4.272 * [backup-simplify]: Simplify (/ 1 1) into 1 4.273 * [taylor]: Taking taylor expansion of (/ 1 im) in im 4.273 * [taylor]: Taking taylor expansion of im in im 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify 1 into 1 4.273 * [backup-simplify]: Simplify (/ 1 1) into 1 4.273 * [backup-simplify]: Simplify (* 1 1) into 1 4.273 * [backup-simplify]: Simplify (+ 0 1) into 1 4.274 * [backup-simplify]: Simplify (sqrt 1) into 1 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.275 * [backup-simplify]: Simplify (+ 0 0) into 0 4.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.276 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.276 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.276 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.276 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.276 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 4.277 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.277 * [taylor]: Taking taylor expansion of re in re 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [backup-simplify]: Simplify (/ 1 1) into 1 4.277 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.277 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.277 * [taylor]: Taking taylor expansion of im in re 4.277 * [backup-simplify]: Simplify im into im 4.277 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.277 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.277 * [taylor]: Taking taylor expansion of im in re 4.277 * [backup-simplify]: Simplify im into im 4.277 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.277 * [backup-simplify]: Simplify (* 1 1) into 1 4.278 * [backup-simplify]: Simplify (+ 1 0) into 1 4.278 * [backup-simplify]: Simplify (sqrt 1) into 1 4.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.280 * [backup-simplify]: Simplify (+ 0 0) into 0 4.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.280 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 4.280 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 4.280 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 4.280 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 4.280 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.280 * [taylor]: Taking taylor expansion of re in re 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 4.281 * [taylor]: Taking taylor expansion of re in re 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [backup-simplify]: Simplify (/ 1 1) into 1 4.281 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 4.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.281 * [taylor]: Taking taylor expansion of im in re 4.281 * [backup-simplify]: Simplify im into im 4.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.281 * [taylor]: Taking taylor expansion of (/ 1 im) in re 4.281 * [taylor]: Taking taylor expansion of im in re 4.281 * [backup-simplify]: Simplify im into im 4.281 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 4.281 * [backup-simplify]: Simplify (* 1 1) into 1 4.282 * [backup-simplify]: Simplify (+ 1 0) into 1 4.282 * [backup-simplify]: Simplify (sqrt 1) into 1 4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.284 * [backup-simplify]: Simplify (+ 0 0) into 0 4.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.284 * [taylor]: Taking taylor expansion of 1 in im 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [taylor]: Taking taylor expansion of 0 in im 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.286 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 4.286 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.287 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.287 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.287 * [taylor]: Taking taylor expansion of 1/2 in im 4.287 * [backup-simplify]: Simplify 1/2 into 1/2 4.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.287 * [taylor]: Taking taylor expansion of im in im 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify 1 into 1 4.287 * [backup-simplify]: Simplify (* 1 1) into 1 4.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 4.291 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.292 * [taylor]: Taking taylor expansion of 0 in im 4.292 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify 0 into 0 4.295 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 4.295 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 4.295 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 4.295 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 4.295 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.295 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 4.295 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 4.295 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.295 * [taylor]: Taking taylor expansion of -1 in im 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of re in im 4.295 * [backup-simplify]: Simplify re into re 4.295 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.295 * [taylor]: Taking taylor expansion of (/ -1 re) in im 4.295 * [taylor]: Taking taylor expansion of -1 in im 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of re in im 4.295 * [backup-simplify]: Simplify re into re 4.295 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 4.295 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 4.295 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.295 * [taylor]: Taking taylor expansion of -1 in im 4.295 * [backup-simplify]: Simplify -1 into -1 4.295 * [taylor]: Taking taylor expansion of im in im 4.295 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (/ -1 1) into -1 4.296 * [taylor]: Taking taylor expansion of (/ -1 im) in im 4.296 * [taylor]: Taking taylor expansion of -1 in im 4.296 * [backup-simplify]: Simplify -1 into -1 4.296 * [taylor]: Taking taylor expansion of im in im 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ -1 1) into -1 4.297 * [backup-simplify]: Simplify (* -1 -1) into 1 4.297 * [backup-simplify]: Simplify (+ 0 1) into 1 4.298 * [backup-simplify]: Simplify (sqrt 1) into 1 4.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.300 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.301 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.302 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.302 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.302 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.302 * [taylor]: Taking taylor expansion of -1 in re 4.302 * [backup-simplify]: Simplify -1 into -1 4.302 * [taylor]: Taking taylor expansion of re in re 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (/ -1 1) into -1 4.302 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.302 * [taylor]: Taking taylor expansion of -1 in re 4.302 * [backup-simplify]: Simplify -1 into -1 4.302 * [taylor]: Taking taylor expansion of re in re 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (/ -1 1) into -1 4.303 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.303 * [taylor]: Taking taylor expansion of -1 in re 4.303 * [backup-simplify]: Simplify -1 into -1 4.303 * [taylor]: Taking taylor expansion of im in re 4.303 * [backup-simplify]: Simplify im into im 4.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.303 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.303 * [taylor]: Taking taylor expansion of -1 in re 4.303 * [backup-simplify]: Simplify -1 into -1 4.303 * [taylor]: Taking taylor expansion of im in re 4.303 * [backup-simplify]: Simplify im into im 4.303 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.304 * [backup-simplify]: Simplify (* -1 -1) into 1 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [backup-simplify]: Simplify (sqrt 1) into 1 4.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.307 * [backup-simplify]: Simplify (+ 0 0) into 0 4.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.308 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 4.308 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 4.308 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 4.308 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 4.308 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.308 * [taylor]: Taking taylor expansion of -1 in re 4.308 * [backup-simplify]: Simplify -1 into -1 4.308 * [taylor]: Taking taylor expansion of re in re 4.308 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify 1 into 1 4.309 * [backup-simplify]: Simplify (/ -1 1) into -1 4.309 * [taylor]: Taking taylor expansion of (/ -1 re) in re 4.309 * [taylor]: Taking taylor expansion of -1 in re 4.309 * [backup-simplify]: Simplify -1 into -1 4.309 * [taylor]: Taking taylor expansion of re in re 4.309 * [backup-simplify]: Simplify 0 into 0 4.309 * [backup-simplify]: Simplify 1 into 1 4.309 * [backup-simplify]: Simplify (/ -1 1) into -1 4.310 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 4.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.310 * [taylor]: Taking taylor expansion of -1 in re 4.310 * [backup-simplify]: Simplify -1 into -1 4.310 * [taylor]: Taking taylor expansion of im in re 4.310 * [backup-simplify]: Simplify im into im 4.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.310 * [taylor]: Taking taylor expansion of (/ -1 im) in re 4.310 * [taylor]: Taking taylor expansion of -1 in re 4.310 * [backup-simplify]: Simplify -1 into -1 4.310 * [taylor]: Taking taylor expansion of im in re 4.310 * [backup-simplify]: Simplify im into im 4.310 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 4.310 * [backup-simplify]: Simplify (* -1 -1) into 1 4.311 * [backup-simplify]: Simplify (+ 1 0) into 1 4.311 * [backup-simplify]: Simplify (sqrt 1) into 1 4.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.314 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 4.314 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 4.315 * [taylor]: Taking taylor expansion of 1 in im 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [taylor]: Taking taylor expansion of 0 in im 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 1 into 1 4.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 4.317 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 4.317 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 4.317 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 4.317 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 4.318 * [taylor]: Taking taylor expansion of 1/2 in im 4.318 * [backup-simplify]: Simplify 1/2 into 1/2 4.318 * [taylor]: Taking taylor expansion of (pow im 2) in im 4.318 * [taylor]: Taking taylor expansion of im in im 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (* 1 1) into 1 4.318 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 4.321 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.321 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 4.321 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 4.322 * [backup-simplify]: Simplify (+ 0 0) into 0 4.322 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 4.322 * [taylor]: Taking taylor expansion of 0 in im 4.322 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 4.323 * * * [progress]: simplifying candidates 4.323 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 4.323 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 9 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 4.324 * * * * [progress]: [ 26 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 35 / 74 ] simplifiying candidate #real (real->posit16 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))))))> 4.325 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 39 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 4.325 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 53 / 74 ] simplifiying candidate #real (real->posit16 (+ (hypot re im) re)))) (sqrt 2.0))))> 4.326 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 61 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 62 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 65 / 74 ] simplifiying candidate #real (real->posit16 (hypot re im))) re)) (sqrt 2.0))))> 4.326 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 4.326 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 4.327 * [simplify]: Simplifying: (expm1 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (log1p (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (+ (hypot re im) re) 2.0) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (+ (hypot re im) re) 2.0) (+ (log (sqrt (+ (hypot re im) re))) (log (sqrt 2.0))) (log (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (exp (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (* (* (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re))) (sqrt (+ (hypot re im) re))) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)))) (cbrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (* (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (* (+ (hypot re im) re) 2.0) (sqrt (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (sqrt (* (sqrt (+ (hypot re im) re)) (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))) (* (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 (+ (hypot re im) re)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (sqrt (+ (hypot re im) re)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) (sqrt 1)) (* (sqrt (+ (hypot re im) re)) (sqrt (sqrt 2.0))) (* (sqrt (+ (hypot re im) re)) 1) (* (cbrt (sqrt (+ (hypot re im) re))) (sqrt 2.0)) (* (sqrt (cbrt (+ (hypot re im) re))) (sqrt 2.0)) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (sqrt (+ (hypot re im) re))) (sqrt 2.0)) (* (sqrt (+ (hypot re im) re)) (sqrt 2.0)) (* (sqrt (+ (pow (hypot re im) 3) (pow re 3))) (sqrt 2.0)) (* (sqrt (- (* (hypot re im) (hypot re im)) (* re re))) (sqrt 2.0)) (real->posit16 (* (sqrt (+ (hypot re im) re)) (sqrt 2.0))) (expm1 (+ (hypot re im) re)) (log1p (+ (hypot re im) re)) (* (exp (hypot re im)) (exp re)) (log (+ (hypot re im) re)) (exp (+ (hypot re im) re)) (* (cbrt (+ (hypot re im) re)) (cbrt (+ (hypot re im) re))) (cbrt (+ (hypot re im) re)) (* (* (+ (hypot re im) re) (+ (hypot re im) re)) (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (sqrt (+ (hypot re im) re)) (+ (pow (hypot re im) 3) (pow re 3)) (+ (* (hypot re im) (hypot re im)) (- (* re re) (* (hypot re im) re))) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (+ (hypot re im) re) (real->posit16 (+ (hypot re im) re)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 (+ re im) (* 2 re) 0 im re (* -1 re) 4.328 * * [simplify]: iteration 1: (113 enodes) 4.357 * * [simplify]: iteration 2: (249 enodes) 4.474 * * [simplify]: iteration 3: (607 enodes) 4.866 * * [simplify]: iteration 4: (1585 enodes) 7.219 * * [simplify]: Extracting #0: cost 52 inf + 0 7.220 * * [simplify]: Extracting #1: cost 263 inf + 3 7.228 * * [simplify]: Extracting #2: cost 717 inf + 6244 7.259 * * [simplify]: Extracting #3: cost 379 inf + 62757 7.331 * * [simplify]: Extracting #4: cost 56 inf + 125318 7.381 * * [simplify]: Extracting #5: cost 3 inf + 141620 7.437 * * [simplify]: Extracting #6: cost 0 inf + 142640 7.496 * [simplify]: Simplified to: (expm1 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log1p (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* 2.0 (+ (hypot re im) re)) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* 2.0 (+ (hypot re im) re)) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (log (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (exp (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) 2.0) (sqrt (+ re (hypot re im)))) (+ re (hypot re im))) (* (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im)))))) (cbrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (* (* (sqrt 2.0) 2.0) (sqrt (+ re (hypot re im)))) (+ re (hypot re im))) (* 2.0 (+ (hypot re im) re)) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (sqrt (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt (sqrt 2.0)) (sqrt (sqrt (+ re (hypot re im))))) (* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (sqrt (+ re (hypot re im)))) (* (sqrt (+ re (hypot re im))) (fabs (cbrt 2.0))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))) (* (sqrt (sqrt 2.0)) (sqrt (+ re (hypot re im)))) (sqrt (+ re (hypot re im))) (* (cbrt (sqrt (+ re (hypot re im)))) (sqrt 2.0)) (* (sqrt 2.0) (sqrt (cbrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (sqrt (+ re (hypot re im))))) (* (sqrt 2.0) (sqrt (+ re (hypot re im)))) (* (sqrt 2.0) (sqrt (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re)))) (* (sqrt (* (- (hypot re im) re) (+ re (hypot re im)))) (sqrt 2.0)) (real->posit16 (* (sqrt 2.0) (sqrt (+ re (hypot re im))))) (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (+ re (hypot re im)) (* (+ re (hypot re im)) (+ re (hypot re im)))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (hypot re im) (* (hypot re im) (hypot re im)) (* (* re re) re)) (fma re (- re (hypot re im)) (* (hypot re im) (hypot re im))) (* (- (hypot re im) re) (+ re (hypot re im))) (- (hypot re im) re) (+ re (hypot re im)) (real->posit16 (+ re (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma re re (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (hypot re im) (* (hypot re im) (hypot re im))) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (* (* +nan.0 (sqrt 2.0)) (fma (- re) re (- im re))) (- (fma +nan.0 (- (sqrt 2.0) (/ (sqrt 2.0) re)) (* (/ +nan.0 re) (/ (sqrt 2.0) re)))) 0 (+ im re) (* 2 re) 0 im re (- re) 7.503 * * * [progress]: adding candidates to table 8.308 * * [progress]: iteration 3 / 4 8.308 * * * [progress]: picking best candidate 8.352 * * * * [pick]: Picked # 8.352 * * * [progress]: localizing error 8.387 * * * [progress]: generating rewritten candidates 8.387 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 8.404 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 8.422 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1) 8.447 * * * [progress]: generating series expansions 8.447 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 8.447 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) into (+ (hypot re im) re) 8.447 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 8.447 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 8.447 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.447 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.447 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.447 * [taylor]: Taking taylor expansion of (* re re) in im 8.447 * [taylor]: Taking taylor expansion of re in im 8.447 * [backup-simplify]: Simplify re into re 8.447 * [taylor]: Taking taylor expansion of re in im 8.447 * [backup-simplify]: Simplify re into re 8.447 * [taylor]: Taking taylor expansion of (* im im) in im 8.447 * [taylor]: Taking taylor expansion of im in im 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 1 into 1 8.447 * [taylor]: Taking taylor expansion of im in im 8.447 * [backup-simplify]: Simplify 0 into 0 8.447 * [backup-simplify]: Simplify 1 into 1 8.447 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.448 * [backup-simplify]: Simplify (* 0 0) into 0 8.448 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.448 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.448 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.449 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.449 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.450 * [taylor]: Taking taylor expansion of re in im 8.450 * [backup-simplify]: Simplify re into re 8.450 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 8.450 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.450 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.450 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.450 * [taylor]: Taking taylor expansion of (* re re) in re 8.450 * [taylor]: Taking taylor expansion of re in re 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [taylor]: Taking taylor expansion of re in re 8.450 * [backup-simplify]: Simplify 0 into 0 8.450 * [backup-simplify]: Simplify 1 into 1 8.450 * [taylor]: Taking taylor expansion of (* im im) in re 8.450 * [taylor]: Taking taylor expansion of im in re 8.450 * [backup-simplify]: Simplify im into im 8.450 * [taylor]: Taking taylor expansion of im in re 8.450 * [backup-simplify]: Simplify im into im 8.451 * [backup-simplify]: Simplify (* 0 0) into 0 8.451 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.451 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.451 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.452 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.452 * [backup-simplify]: Simplify (+ 0 0) into 0 8.452 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.452 * [taylor]: Taking taylor expansion of re in re 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify 1 into 1 8.452 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 8.452 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.453 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.453 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.453 * [taylor]: Taking taylor expansion of (* re re) in re 8.453 * [taylor]: Taking taylor expansion of re in re 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 1 into 1 8.453 * [taylor]: Taking taylor expansion of re in re 8.453 * [backup-simplify]: Simplify 0 into 0 8.453 * [backup-simplify]: Simplify 1 into 1 8.453 * [taylor]: Taking taylor expansion of (* im im) in re 8.453 * [taylor]: Taking taylor expansion of im in re 8.453 * [backup-simplify]: Simplify im into im 8.453 * [taylor]: Taking taylor expansion of im in re 8.453 * [backup-simplify]: Simplify im into im 8.453 * [backup-simplify]: Simplify (* 0 0) into 0 8.453 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.453 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.454 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.454 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.455 * [backup-simplify]: Simplify (+ 0 0) into 0 8.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.455 * [taylor]: Taking taylor expansion of re in re 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.455 * [backup-simplify]: Simplify (+ im 0) into im 8.455 * [taylor]: Taking taylor expansion of im in im 8.455 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify 1 into 1 8.455 * [backup-simplify]: Simplify 0 into 0 8.456 * [backup-simplify]: Simplify (+ 0 1) into 1 8.456 * [taylor]: Taking taylor expansion of 1 in im 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify 1 into 1 8.456 * [backup-simplify]: Simplify 1 into 1 8.457 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.457 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.458 * [backup-simplify]: Simplify (+ 1 0) into 1 8.458 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.459 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 8.459 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 8.459 * [taylor]: Taking taylor expansion of 1/2 in im 8.459 * [backup-simplify]: Simplify 1/2 into 1/2 8.459 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.459 * [taylor]: Taking taylor expansion of im in im 8.459 * [backup-simplify]: Simplify 0 into 0 8.459 * [backup-simplify]: Simplify 1 into 1 8.459 * [backup-simplify]: Simplify (/ 1 1) into 1 8.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.462 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.463 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.463 * [backup-simplify]: Simplify (+ 0 0) into 0 8.463 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.464 * [backup-simplify]: Simplify (+ 0 0) into 0 8.464 * [taylor]: Taking taylor expansion of 0 in im 8.464 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify 0 into 0 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.466 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify 0 into 0 8.466 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 8.467 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 8.467 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 8.467 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 8.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.467 * [taylor]: Taking taylor expansion of re in im 8.467 * [backup-simplify]: Simplify re into re 8.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.467 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.467 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.467 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.467 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.467 * [taylor]: Taking taylor expansion of re in im 8.467 * [backup-simplify]: Simplify re into re 8.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.467 * [taylor]: Taking taylor expansion of re in im 8.467 * [backup-simplify]: Simplify re into re 8.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.467 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.467 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.467 * [taylor]: Taking taylor expansion of im in im 8.467 * [backup-simplify]: Simplify 0 into 0 8.467 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (/ 1 1) into 1 8.468 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.468 * [taylor]: Taking taylor expansion of im in im 8.468 * [backup-simplify]: Simplify 0 into 0 8.468 * [backup-simplify]: Simplify 1 into 1 8.468 * [backup-simplify]: Simplify (/ 1 1) into 1 8.469 * [backup-simplify]: Simplify (* 1 1) into 1 8.469 * [backup-simplify]: Simplify (+ 0 1) into 1 8.469 * [backup-simplify]: Simplify (sqrt 1) into 1 8.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.472 * [backup-simplify]: Simplify (+ 0 0) into 0 8.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.473 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 8.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.473 * [taylor]: Taking taylor expansion of re in re 8.473 * [backup-simplify]: Simplify 0 into 0 8.473 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (/ 1 1) into 1 8.474 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.474 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.474 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.474 * [taylor]: Taking taylor expansion of re in re 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.474 * [backup-simplify]: Simplify (/ 1 1) into 1 8.474 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.474 * [taylor]: Taking taylor expansion of re in re 8.474 * [backup-simplify]: Simplify 0 into 0 8.474 * [backup-simplify]: Simplify 1 into 1 8.475 * [backup-simplify]: Simplify (/ 1 1) into 1 8.475 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.475 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.475 * [taylor]: Taking taylor expansion of im in re 8.475 * [backup-simplify]: Simplify im into im 8.475 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.475 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.475 * [taylor]: Taking taylor expansion of im in re 8.475 * [backup-simplify]: Simplify im into im 8.475 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.475 * [backup-simplify]: Simplify (* 1 1) into 1 8.476 * [backup-simplify]: Simplify (+ 1 0) into 1 8.476 * [backup-simplify]: Simplify (sqrt 1) into 1 8.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.479 * [backup-simplify]: Simplify (+ 0 0) into 0 8.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.480 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 8.480 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.480 * [taylor]: Taking taylor expansion of re in re 8.480 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify 1 into 1 8.480 * [backup-simplify]: Simplify (/ 1 1) into 1 8.480 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.481 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.481 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.481 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.481 * [taylor]: Taking taylor expansion of re in re 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.481 * [backup-simplify]: Simplify (/ 1 1) into 1 8.481 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.481 * [taylor]: Taking taylor expansion of re in re 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 1 into 1 8.482 * [backup-simplify]: Simplify (/ 1 1) into 1 8.482 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.482 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.482 * [taylor]: Taking taylor expansion of im in re 8.482 * [backup-simplify]: Simplify im into im 8.482 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.482 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.482 * [taylor]: Taking taylor expansion of im in re 8.482 * [backup-simplify]: Simplify im into im 8.482 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.483 * [backup-simplify]: Simplify (* 1 1) into 1 8.483 * [backup-simplify]: Simplify (+ 1 0) into 1 8.484 * [backup-simplify]: Simplify (sqrt 1) into 1 8.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.486 * [backup-simplify]: Simplify (+ 0 0) into 0 8.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.487 * [backup-simplify]: Simplify (+ 1 1) into 2 8.487 * [taylor]: Taking taylor expansion of 2 in im 8.487 * [backup-simplify]: Simplify 2 into 2 8.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.488 * [backup-simplify]: Simplify (+ 0 0) into 0 8.488 * [taylor]: Taking taylor expansion of 0 in im 8.488 * [backup-simplify]: Simplify 0 into 0 8.488 * [backup-simplify]: Simplify 2 into 2 8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.490 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.491 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.491 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.491 * [taylor]: Taking taylor expansion of 1/2 in im 8.491 * [backup-simplify]: Simplify 1/2 into 1/2 8.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.491 * [taylor]: Taking taylor expansion of im in im 8.491 * [backup-simplify]: Simplify 0 into 0 8.491 * [backup-simplify]: Simplify 1 into 1 8.491 * [backup-simplify]: Simplify (* 1 1) into 1 8.492 * [backup-simplify]: Simplify (/ 1 1) into 1 8.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.493 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.496 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.496 * [backup-simplify]: Simplify (+ 0 0) into 0 8.496 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.496 * [backup-simplify]: Simplify (+ 0 0) into 0 8.497 * [taylor]: Taking taylor expansion of 0 in im 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify 0 into 0 8.501 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 8.501 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 8.501 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 8.501 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 8.501 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.501 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.501 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.501 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.501 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.501 * [taylor]: Taking taylor expansion of -1 in im 8.501 * [backup-simplify]: Simplify -1 into -1 8.501 * [taylor]: Taking taylor expansion of re in im 8.502 * [backup-simplify]: Simplify re into re 8.502 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.502 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.502 * [taylor]: Taking taylor expansion of -1 in im 8.502 * [backup-simplify]: Simplify -1 into -1 8.502 * [taylor]: Taking taylor expansion of re in im 8.502 * [backup-simplify]: Simplify re into re 8.502 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.502 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.502 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.502 * [taylor]: Taking taylor expansion of -1 in im 8.502 * [backup-simplify]: Simplify -1 into -1 8.502 * [taylor]: Taking taylor expansion of im in im 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (/ -1 1) into -1 8.502 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.502 * [taylor]: Taking taylor expansion of -1 in im 8.502 * [backup-simplify]: Simplify -1 into -1 8.502 * [taylor]: Taking taylor expansion of im in im 8.502 * [backup-simplify]: Simplify 0 into 0 8.502 * [backup-simplify]: Simplify 1 into 1 8.502 * [backup-simplify]: Simplify (/ -1 1) into -1 8.503 * [backup-simplify]: Simplify (* -1 -1) into 1 8.503 * [backup-simplify]: Simplify (+ 0 1) into 1 8.503 * [backup-simplify]: Simplify (sqrt 1) into 1 8.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.505 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.505 * [backup-simplify]: Simplify (+ 0 0) into 0 8.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.505 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.505 * [taylor]: Taking taylor expansion of re in im 8.505 * [backup-simplify]: Simplify re into re 8.505 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.505 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 8.505 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.505 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.505 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.506 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.506 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.506 * [taylor]: Taking taylor expansion of -1 in re 8.506 * [backup-simplify]: Simplify -1 into -1 8.506 * [taylor]: Taking taylor expansion of re in re 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (/ -1 1) into -1 8.506 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.506 * [taylor]: Taking taylor expansion of -1 in re 8.506 * [backup-simplify]: Simplify -1 into -1 8.506 * [taylor]: Taking taylor expansion of re in re 8.506 * [backup-simplify]: Simplify 0 into 0 8.506 * [backup-simplify]: Simplify 1 into 1 8.506 * [backup-simplify]: Simplify (/ -1 1) into -1 8.506 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.506 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.506 * [taylor]: Taking taylor expansion of -1 in re 8.506 * [backup-simplify]: Simplify -1 into -1 8.506 * [taylor]: Taking taylor expansion of im in re 8.506 * [backup-simplify]: Simplify im into im 8.506 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.506 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.506 * [taylor]: Taking taylor expansion of -1 in re 8.506 * [backup-simplify]: Simplify -1 into -1 8.506 * [taylor]: Taking taylor expansion of im in re 8.506 * [backup-simplify]: Simplify im into im 8.506 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.507 * [backup-simplify]: Simplify (* -1 -1) into 1 8.507 * [backup-simplify]: Simplify (+ 1 0) into 1 8.507 * [backup-simplify]: Simplify (sqrt 1) into 1 8.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.509 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.509 * [backup-simplify]: Simplify (+ 0 0) into 0 8.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.509 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.509 * [taylor]: Taking taylor expansion of re in re 8.509 * [backup-simplify]: Simplify 0 into 0 8.509 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (/ 1 1) into 1 8.510 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 8.510 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.510 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.510 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.510 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.510 * [taylor]: Taking taylor expansion of -1 in re 8.510 * [backup-simplify]: Simplify -1 into -1 8.510 * [taylor]: Taking taylor expansion of re in re 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.510 * [backup-simplify]: Simplify (/ -1 1) into -1 8.510 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.510 * [taylor]: Taking taylor expansion of -1 in re 8.510 * [backup-simplify]: Simplify -1 into -1 8.510 * [taylor]: Taking taylor expansion of re in re 8.510 * [backup-simplify]: Simplify 0 into 0 8.510 * [backup-simplify]: Simplify 1 into 1 8.511 * [backup-simplify]: Simplify (/ -1 1) into -1 8.511 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.511 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.511 * [taylor]: Taking taylor expansion of -1 in re 8.511 * [backup-simplify]: Simplify -1 into -1 8.511 * [taylor]: Taking taylor expansion of im in re 8.511 * [backup-simplify]: Simplify im into im 8.511 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.511 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.511 * [taylor]: Taking taylor expansion of -1 in re 8.511 * [backup-simplify]: Simplify -1 into -1 8.511 * [taylor]: Taking taylor expansion of im in re 8.511 * [backup-simplify]: Simplify im into im 8.511 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.511 * [backup-simplify]: Simplify (* -1 -1) into 1 8.511 * [backup-simplify]: Simplify (+ 1 0) into 1 8.512 * [backup-simplify]: Simplify (sqrt 1) into 1 8.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.513 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.513 * [backup-simplify]: Simplify (+ 0 0) into 0 8.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.514 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.514 * [taylor]: Taking taylor expansion of re in re 8.514 * [backup-simplify]: Simplify 0 into 0 8.514 * [backup-simplify]: Simplify 1 into 1 8.514 * [backup-simplify]: Simplify (/ 1 1) into 1 8.514 * [backup-simplify]: Simplify (- 1) into -1 8.515 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.515 * [taylor]: Taking taylor expansion of 0 in im 8.515 * [backup-simplify]: Simplify 0 into 0 8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.515 * [backup-simplify]: Simplify (- 0) into 0 8.516 * [backup-simplify]: Simplify (+ 0 0) into 0 8.516 * [taylor]: Taking taylor expansion of 0 in im 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.517 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.517 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.518 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.518 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.519 * [backup-simplify]: Simplify (- 0) into 0 8.519 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 8.519 * [taylor]: Taking taylor expansion of 1/2 in im 8.519 * [backup-simplify]: Simplify 1/2 into 1/2 8.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 8.519 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.519 * [taylor]: Taking taylor expansion of im in im 8.519 * [backup-simplify]: Simplify 0 into 0 8.519 * [backup-simplify]: Simplify 1 into 1 8.520 * [backup-simplify]: Simplify (* 1 1) into 1 8.520 * [backup-simplify]: Simplify (/ 1 1) into 1 8.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 0 into 0 8.521 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.524 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.524 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.524 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.525 * [backup-simplify]: Simplify (+ 0 0) into 0 8.525 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (- 0) into 0 8.527 * [backup-simplify]: Simplify (+ 0 0) into 0 8.527 * [taylor]: Taking taylor expansion of 0 in im 8.527 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.530 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * [backup-simplify]: Simplify 0 into 0 8.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 8.530 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 8.531 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 8.531 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.531 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.531 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.531 * [taylor]: Taking taylor expansion of (* re re) in im 8.531 * [taylor]: Taking taylor expansion of re in im 8.531 * [backup-simplify]: Simplify re into re 8.531 * [taylor]: Taking taylor expansion of re in im 8.531 * [backup-simplify]: Simplify re into re 8.531 * [taylor]: Taking taylor expansion of (* im im) in im 8.531 * [taylor]: Taking taylor expansion of im in im 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.531 * [taylor]: Taking taylor expansion of im in im 8.531 * [backup-simplify]: Simplify 0 into 0 8.531 * [backup-simplify]: Simplify 1 into 1 8.531 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.531 * [backup-simplify]: Simplify (* 0 0) into 0 8.531 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.532 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.532 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.532 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.533 * [backup-simplify]: Simplify (+ 0 0) into 0 8.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.533 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.533 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.533 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.533 * [taylor]: Taking taylor expansion of (* re re) in re 8.533 * [taylor]: Taking taylor expansion of re in re 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [taylor]: Taking taylor expansion of re in re 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [taylor]: Taking taylor expansion of (* im im) in re 8.533 * [taylor]: Taking taylor expansion of im in re 8.533 * [backup-simplify]: Simplify im into im 8.533 * [taylor]: Taking taylor expansion of im in re 8.533 * [backup-simplify]: Simplify im into im 8.534 * [backup-simplify]: Simplify (* 0 0) into 0 8.534 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.534 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.534 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.534 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.535 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.535 * [backup-simplify]: Simplify (+ 0 0) into 0 8.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.535 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.535 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.535 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.535 * [taylor]: Taking taylor expansion of (* re re) in re 8.535 * [taylor]: Taking taylor expansion of re in re 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [taylor]: Taking taylor expansion of re in re 8.535 * [backup-simplify]: Simplify 0 into 0 8.535 * [backup-simplify]: Simplify 1 into 1 8.535 * [taylor]: Taking taylor expansion of (* im im) in re 8.535 * [taylor]: Taking taylor expansion of im in re 8.535 * [backup-simplify]: Simplify im into im 8.535 * [taylor]: Taking taylor expansion of im in re 8.535 * [backup-simplify]: Simplify im into im 8.536 * [backup-simplify]: Simplify (* 0 0) into 0 8.536 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.536 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.536 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.537 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.537 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.537 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.537 * [taylor]: Taking taylor expansion of im in im 8.537 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [taylor]: Taking taylor expansion of 0 in im 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 0 into 0 8.538 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.539 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.539 * [backup-simplify]: Simplify (+ 1 0) into 1 8.540 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.540 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.540 * [taylor]: Taking taylor expansion of 1/2 in im 8.540 * [backup-simplify]: Simplify 1/2 into 1/2 8.540 * [taylor]: Taking taylor expansion of im in im 8.540 * [backup-simplify]: Simplify 0 into 0 8.540 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.542 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.544 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.544 * [backup-simplify]: Simplify (+ 0 0) into 0 8.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.544 * [taylor]: Taking taylor expansion of 0 in im 8.544 * [backup-simplify]: Simplify 0 into 0 8.544 * [backup-simplify]: Simplify 0 into 0 8.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.545 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.546 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 8.546 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 8.546 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.546 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.546 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.546 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.546 * [taylor]: Taking taylor expansion of re in im 8.546 * [backup-simplify]: Simplify re into re 8.546 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.546 * [taylor]: Taking taylor expansion of re in im 8.546 * [backup-simplify]: Simplify re into re 8.546 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.546 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.546 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.546 * [taylor]: Taking taylor expansion of im in im 8.546 * [backup-simplify]: Simplify 0 into 0 8.546 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (/ 1 1) into 1 8.547 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.547 * [taylor]: Taking taylor expansion of im in im 8.547 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify 1 into 1 8.547 * [backup-simplify]: Simplify (/ 1 1) into 1 8.548 * [backup-simplify]: Simplify (* 1 1) into 1 8.548 * [backup-simplify]: Simplify (+ 0 1) into 1 8.548 * [backup-simplify]: Simplify (sqrt 1) into 1 8.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.551 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.551 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.551 * [taylor]: Taking taylor expansion of re in re 8.551 * [backup-simplify]: Simplify 0 into 0 8.551 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.552 * [taylor]: Taking taylor expansion of re in re 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (/ 1 1) into 1 8.552 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.552 * [taylor]: Taking taylor expansion of im in re 8.552 * [backup-simplify]: Simplify im into im 8.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.552 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.552 * [taylor]: Taking taylor expansion of im in re 8.552 * [backup-simplify]: Simplify im into im 8.552 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.552 * [backup-simplify]: Simplify (* 1 1) into 1 8.553 * [backup-simplify]: Simplify (+ 1 0) into 1 8.553 * [backup-simplify]: Simplify (sqrt 1) into 1 8.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.555 * [backup-simplify]: Simplify (+ 0 0) into 0 8.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.555 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.555 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.555 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.555 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.555 * [taylor]: Taking taylor expansion of re in re 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1 1) into 1 8.555 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.555 * [taylor]: Taking taylor expansion of re in re 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.556 * [backup-simplify]: Simplify (/ 1 1) into 1 8.556 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.556 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.556 * [taylor]: Taking taylor expansion of im in re 8.556 * [backup-simplify]: Simplify im into im 8.556 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.556 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.556 * [taylor]: Taking taylor expansion of im in re 8.556 * [backup-simplify]: Simplify im into im 8.556 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.556 * [backup-simplify]: Simplify (* 1 1) into 1 8.556 * [backup-simplify]: Simplify (+ 1 0) into 1 8.557 * [backup-simplify]: Simplify (sqrt 1) into 1 8.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.558 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.559 * [taylor]: Taking taylor expansion of 1 in im 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [taylor]: Taking taylor expansion of 0 in im 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 1 into 1 8.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.561 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.561 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.562 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.562 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.562 * [taylor]: Taking taylor expansion of 1/2 in im 8.562 * [backup-simplify]: Simplify 1/2 into 1/2 8.562 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.562 * [taylor]: Taking taylor expansion of im in im 8.562 * [backup-simplify]: Simplify 0 into 0 8.562 * [backup-simplify]: Simplify 1 into 1 8.562 * [backup-simplify]: Simplify (* 1 1) into 1 8.563 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify 0 into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.566 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.566 * [backup-simplify]: Simplify (+ 0 0) into 0 8.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.566 * [taylor]: Taking taylor expansion of 0 in im 8.566 * [backup-simplify]: Simplify 0 into 0 8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.568 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 8.568 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 8.568 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.568 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.568 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.568 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.568 * [taylor]: Taking taylor expansion of -1 in im 8.568 * [backup-simplify]: Simplify -1 into -1 8.568 * [taylor]: Taking taylor expansion of re in im 8.568 * [backup-simplify]: Simplify re into re 8.568 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.568 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.568 * [taylor]: Taking taylor expansion of -1 in im 8.568 * [backup-simplify]: Simplify -1 into -1 8.568 * [taylor]: Taking taylor expansion of re in im 8.568 * [backup-simplify]: Simplify re into re 8.568 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.568 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.568 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.568 * [taylor]: Taking taylor expansion of -1 in im 8.568 * [backup-simplify]: Simplify -1 into -1 8.568 * [taylor]: Taking taylor expansion of im in im 8.568 * [backup-simplify]: Simplify 0 into 0 8.568 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ -1 1) into -1 8.569 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.569 * [taylor]: Taking taylor expansion of -1 in im 8.569 * [backup-simplify]: Simplify -1 into -1 8.569 * [taylor]: Taking taylor expansion of im in im 8.569 * [backup-simplify]: Simplify 0 into 0 8.569 * [backup-simplify]: Simplify 1 into 1 8.569 * [backup-simplify]: Simplify (/ -1 1) into -1 8.569 * [backup-simplify]: Simplify (* -1 -1) into 1 8.570 * [backup-simplify]: Simplify (+ 0 1) into 1 8.570 * [backup-simplify]: Simplify (sqrt 1) into 1 8.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.571 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.572 * [backup-simplify]: Simplify (+ 0 0) into 0 8.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.572 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.572 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.572 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.572 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.572 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.572 * [taylor]: Taking taylor expansion of -1 in re 8.572 * [backup-simplify]: Simplify -1 into -1 8.572 * [taylor]: Taking taylor expansion of re in re 8.572 * [backup-simplify]: Simplify 0 into 0 8.572 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ -1 1) into -1 8.573 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.573 * [taylor]: Taking taylor expansion of -1 in re 8.573 * [backup-simplify]: Simplify -1 into -1 8.573 * [taylor]: Taking taylor expansion of re in re 8.573 * [backup-simplify]: Simplify 0 into 0 8.573 * [backup-simplify]: Simplify 1 into 1 8.573 * [backup-simplify]: Simplify (/ -1 1) into -1 8.573 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.573 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.573 * [taylor]: Taking taylor expansion of -1 in re 8.573 * [backup-simplify]: Simplify -1 into -1 8.573 * [taylor]: Taking taylor expansion of im in re 8.573 * [backup-simplify]: Simplify im into im 8.573 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.573 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.573 * [taylor]: Taking taylor expansion of -1 in re 8.573 * [backup-simplify]: Simplify -1 into -1 8.573 * [taylor]: Taking taylor expansion of im in re 8.573 * [backup-simplify]: Simplify im into im 8.573 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.573 * [backup-simplify]: Simplify (* -1 -1) into 1 8.574 * [backup-simplify]: Simplify (+ 1 0) into 1 8.574 * [backup-simplify]: Simplify (sqrt 1) into 1 8.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.576 * [backup-simplify]: Simplify (+ 0 0) into 0 8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.576 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.576 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.576 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.576 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.576 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.576 * [taylor]: Taking taylor expansion of -1 in re 8.576 * [backup-simplify]: Simplify -1 into -1 8.576 * [taylor]: Taking taylor expansion of re in re 8.576 * [backup-simplify]: Simplify 0 into 0 8.576 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (/ -1 1) into -1 8.577 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.577 * [taylor]: Taking taylor expansion of -1 in re 8.577 * [backup-simplify]: Simplify -1 into -1 8.577 * [taylor]: Taking taylor expansion of re in re 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (/ -1 1) into -1 8.577 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.577 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.577 * [taylor]: Taking taylor expansion of -1 in re 8.577 * [backup-simplify]: Simplify -1 into -1 8.577 * [taylor]: Taking taylor expansion of im in re 8.577 * [backup-simplify]: Simplify im into im 8.577 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.577 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.577 * [taylor]: Taking taylor expansion of -1 in re 8.577 * [backup-simplify]: Simplify -1 into -1 8.577 * [taylor]: Taking taylor expansion of im in re 8.577 * [backup-simplify]: Simplify im into im 8.577 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.578 * [backup-simplify]: Simplify (* -1 -1) into 1 8.578 * [backup-simplify]: Simplify (+ 1 0) into 1 8.578 * [backup-simplify]: Simplify (sqrt 1) into 1 8.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.580 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.580 * [backup-simplify]: Simplify (+ 0 0) into 0 8.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.580 * [taylor]: Taking taylor expansion of 1 in im 8.580 * [backup-simplify]: Simplify 1 into 1 8.580 * [taylor]: Taking taylor expansion of 0 in im 8.580 * [backup-simplify]: Simplify 0 into 0 8.580 * [backup-simplify]: Simplify 1 into 1 8.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.582 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.582 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.584 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.584 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.584 * [taylor]: Taking taylor expansion of 1/2 in im 8.584 * [backup-simplify]: Simplify 1/2 into 1/2 8.584 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.584 * [taylor]: Taking taylor expansion of im in im 8.584 * [backup-simplify]: Simplify 0 into 0 8.584 * [backup-simplify]: Simplify 1 into 1 8.585 * [backup-simplify]: Simplify (* 1 1) into 1 8.585 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 0 into 0 8.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.591 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.591 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.591 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.591 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.591 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.592 * [taylor]: Taking taylor expansion of 0 in im 8.592 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify 0 into 0 8.594 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.594 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.594 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) into (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) 8.594 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in (re im) around 0 8.594 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in im 8.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.595 * [taylor]: Taking taylor expansion of 2.0 in im 8.595 * [backup-simplify]: Simplify 2.0 into 2.0 8.595 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.596 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in im 8.596 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 8.596 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.596 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.596 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.596 * [taylor]: Taking taylor expansion of (* re re) in im 8.596 * [taylor]: Taking taylor expansion of re in im 8.596 * [backup-simplify]: Simplify re into re 8.596 * [taylor]: Taking taylor expansion of re in im 8.596 * [backup-simplify]: Simplify re into re 8.596 * [taylor]: Taking taylor expansion of (* im im) in im 8.596 * [taylor]: Taking taylor expansion of im in im 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [taylor]: Taking taylor expansion of im in im 8.596 * [backup-simplify]: Simplify 0 into 0 8.596 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.597 * [backup-simplify]: Simplify (* 0 0) into 0 8.597 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.597 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.597 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.597 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.598 * [backup-simplify]: Simplify (+ 0 0) into 0 8.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.598 * [taylor]: Taking taylor expansion of re in im 8.598 * [backup-simplify]: Simplify re into re 8.598 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 8.598 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 8.599 * [backup-simplify]: Simplify (+ 0 0) into 0 8.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 8.599 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 8.599 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.599 * [taylor]: Taking taylor expansion of 2.0 in re 8.599 * [backup-simplify]: Simplify 2.0 into 2.0 8.599 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.600 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 8.600 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 8.600 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.600 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.600 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.600 * [taylor]: Taking taylor expansion of (* re re) in re 8.600 * [taylor]: Taking taylor expansion of re in re 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [taylor]: Taking taylor expansion of re in re 8.600 * [backup-simplify]: Simplify 0 into 0 8.600 * [backup-simplify]: Simplify 1 into 1 8.600 * [taylor]: Taking taylor expansion of (* im im) in re 8.600 * [taylor]: Taking taylor expansion of im in re 8.601 * [backup-simplify]: Simplify im into im 8.601 * [taylor]: Taking taylor expansion of im in re 8.601 * [backup-simplify]: Simplify im into im 8.601 * [backup-simplify]: Simplify (* 0 0) into 0 8.601 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.601 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.601 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.602 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.602 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.602 * [backup-simplify]: Simplify (+ 0 0) into 0 8.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.602 * [taylor]: Taking taylor expansion of re in re 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 1 into 1 8.603 * [backup-simplify]: Simplify (+ im 0) into im 8.603 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.603 * [backup-simplify]: Simplify (+ 0 1) into 1 8.603 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 8.603 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (hypot re im) re))) in re 8.603 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.603 * [taylor]: Taking taylor expansion of 2.0 in re 8.603 * [backup-simplify]: Simplify 2.0 into 2.0 8.604 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.604 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot re im) re)) in re 8.605 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 8.605 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.605 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.605 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.605 * [taylor]: Taking taylor expansion of (* re re) in re 8.605 * [taylor]: Taking taylor expansion of re in re 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of re in re 8.605 * [backup-simplify]: Simplify 0 into 0 8.605 * [backup-simplify]: Simplify 1 into 1 8.605 * [taylor]: Taking taylor expansion of (* im im) in re 8.605 * [taylor]: Taking taylor expansion of im in re 8.605 * [backup-simplify]: Simplify im into im 8.605 * [taylor]: Taking taylor expansion of im in re 8.605 * [backup-simplify]: Simplify im into im 8.605 * [backup-simplify]: Simplify (* 0 0) into 0 8.605 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.605 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.606 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.606 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.607 * [backup-simplify]: Simplify (+ 0 0) into 0 8.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.607 * [taylor]: Taking taylor expansion of re in re 8.607 * [backup-simplify]: Simplify 0 into 0 8.607 * [backup-simplify]: Simplify 1 into 1 8.607 * [backup-simplify]: Simplify (+ im 0) into im 8.607 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 8.607 * [backup-simplify]: Simplify (+ 0 1) into 1 8.608 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 8.608 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 8.608 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 8.608 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.608 * [taylor]: Taking taylor expansion of 2.0 in im 8.608 * [backup-simplify]: Simplify 2.0 into 2.0 8.609 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.609 * [taylor]: Taking taylor expansion of (sqrt im) in im 8.609 * [taylor]: Taking taylor expansion of im in im 8.609 * [backup-simplify]: Simplify 0 into 0 8.609 * [backup-simplify]: Simplify 1 into 1 8.610 * [backup-simplify]: Simplify (sqrt 0) into 0 8.611 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.611 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.611 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 8.612 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 8.612 * [taylor]: Taking taylor expansion of 1/2 in im 8.612 * [backup-simplify]: Simplify 1/2 into 1/2 8.612 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 8.612 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.612 * [taylor]: Taking taylor expansion of 2.0 in im 8.612 * [backup-simplify]: Simplify 2.0 into 2.0 8.612 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 8.613 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.613 * [taylor]: Taking taylor expansion of im in im 8.613 * [backup-simplify]: Simplify 0 into 0 8.613 * [backup-simplify]: Simplify 1 into 1 8.613 * [backup-simplify]: Simplify (/ 1 1) into 1 8.613 * [backup-simplify]: Simplify (sqrt 0) into 0 8.616 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.617 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.618 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.620 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.621 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.622 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.623 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.624 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.624 * [backup-simplify]: Simplify (+ 1 0) into 1 8.625 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.625 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 8.625 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 8.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.626 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 8.626 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 8.626 * [taylor]: Taking taylor expansion of 1/8 in im 8.626 * [backup-simplify]: Simplify 1/8 into 1/8 8.626 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 8.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.626 * [taylor]: Taking taylor expansion of 2.0 in im 8.626 * [backup-simplify]: Simplify 2.0 into 2.0 8.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 8.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 8.627 * [taylor]: Taking taylor expansion of (pow im 3) in im 8.627 * [taylor]: Taking taylor expansion of im in im 8.627 * [backup-simplify]: Simplify 0 into 0 8.627 * [backup-simplify]: Simplify 1 into 1 8.627 * [backup-simplify]: Simplify (* 1 1) into 1 8.628 * [backup-simplify]: Simplify (* 1 1) into 1 8.628 * [backup-simplify]: Simplify (/ 1 1) into 1 8.628 * [backup-simplify]: Simplify (sqrt 0) into 0 8.629 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.633 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.635 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.636 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.636 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.639 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.640 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.644 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 8.644 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) (/ 1 re)) 2.0)) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) 8.644 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in (re im) around 0 8.644 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in im 8.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.644 * [taylor]: Taking taylor expansion of 2.0 in im 8.644 * [backup-simplify]: Simplify 2.0 into 2.0 8.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.645 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in im 8.645 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 8.645 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.645 * [taylor]: Taking taylor expansion of re in im 8.645 * [backup-simplify]: Simplify re into re 8.646 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.646 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.646 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.646 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.646 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.646 * [taylor]: Taking taylor expansion of re in im 8.646 * [backup-simplify]: Simplify re into re 8.646 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.646 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.646 * [taylor]: Taking taylor expansion of re in im 8.646 * [backup-simplify]: Simplify re into re 8.646 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.646 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.646 * [taylor]: Taking taylor expansion of im in im 8.646 * [backup-simplify]: Simplify 0 into 0 8.646 * [backup-simplify]: Simplify 1 into 1 8.646 * [backup-simplify]: Simplify (/ 1 1) into 1 8.646 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.647 * [taylor]: Taking taylor expansion of im in im 8.647 * [backup-simplify]: Simplify 0 into 0 8.647 * [backup-simplify]: Simplify 1 into 1 8.647 * [backup-simplify]: Simplify (/ 1 1) into 1 8.647 * [backup-simplify]: Simplify (* 1 1) into 1 8.648 * [backup-simplify]: Simplify (+ 0 1) into 1 8.648 * [backup-simplify]: Simplify (sqrt 1) into 1 8.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.651 * [backup-simplify]: Simplify (+ 0 0) into 0 8.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.652 * [backup-simplify]: Simplify (+ 0 1) into 1 8.652 * [backup-simplify]: Simplify (sqrt 0) into 0 8.653 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.653 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 8.654 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.654 * [taylor]: Taking taylor expansion of 2.0 in re 8.654 * [backup-simplify]: Simplify 2.0 into 2.0 8.654 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.655 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 8.655 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 8.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.655 * [taylor]: Taking taylor expansion of re in re 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 1 into 1 8.655 * [backup-simplify]: Simplify (/ 1 1) into 1 8.655 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.655 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.655 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.655 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.655 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.655 * [taylor]: Taking taylor expansion of re in re 8.655 * [backup-simplify]: Simplify 0 into 0 8.655 * [backup-simplify]: Simplify 1 into 1 8.656 * [backup-simplify]: Simplify (/ 1 1) into 1 8.656 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.656 * [taylor]: Taking taylor expansion of re in re 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 1 into 1 8.656 * [backup-simplify]: Simplify (/ 1 1) into 1 8.656 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.656 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.656 * [taylor]: Taking taylor expansion of im in re 8.656 * [backup-simplify]: Simplify im into im 8.656 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.656 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.656 * [taylor]: Taking taylor expansion of im in re 8.656 * [backup-simplify]: Simplify im into im 8.657 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.657 * [backup-simplify]: Simplify (* 1 1) into 1 8.657 * [backup-simplify]: Simplify (+ 1 0) into 1 8.658 * [backup-simplify]: Simplify (sqrt 1) into 1 8.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.660 * [backup-simplify]: Simplify (+ 0 0) into 0 8.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.662 * [backup-simplify]: Simplify (+ 1 1) into 2 8.662 * [backup-simplify]: Simplify (sqrt 0) into 0 8.663 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 8.663 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))))) in re 8.663 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.663 * [taylor]: Taking taylor expansion of 2.0 in re 8.663 * [backup-simplify]: Simplify 2.0 into 2.0 8.664 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.665 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))) in re 8.665 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 8.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.665 * [taylor]: Taking taylor expansion of re in re 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (/ 1 1) into 1 8.665 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.665 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.665 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.665 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.665 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.665 * [taylor]: Taking taylor expansion of re in re 8.665 * [backup-simplify]: Simplify 0 into 0 8.665 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (/ 1 1) into 1 8.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.666 * [taylor]: Taking taylor expansion of re in re 8.666 * [backup-simplify]: Simplify 0 into 0 8.666 * [backup-simplify]: Simplify 1 into 1 8.666 * [backup-simplify]: Simplify (/ 1 1) into 1 8.666 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.666 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.666 * [taylor]: Taking taylor expansion of im in re 8.666 * [backup-simplify]: Simplify im into im 8.666 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.666 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.666 * [taylor]: Taking taylor expansion of im in re 8.666 * [backup-simplify]: Simplify im into im 8.667 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.667 * [backup-simplify]: Simplify (* 1 1) into 1 8.667 * [backup-simplify]: Simplify (+ 1 0) into 1 8.668 * [backup-simplify]: Simplify (sqrt 1) into 1 8.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.670 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.671 * [backup-simplify]: Simplify (+ 1 1) into 2 8.672 * [backup-simplify]: Simplify (sqrt 0) into 0 8.673 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 8.673 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.673 * [taylor]: Taking taylor expansion of 0 in im 8.673 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 8.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.676 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.676 * [taylor]: Taking taylor expansion of +nan.0 in im 8.676 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.676 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.676 * [taylor]: Taking taylor expansion of 2.0 in im 8.676 * [backup-simplify]: Simplify 2.0 into 2.0 8.676 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.677 * [backup-simplify]: Simplify 0 into 0 8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.682 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 8.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.686 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 8.686 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 8.686 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.686 * [taylor]: Taking taylor expansion of +nan.0 in im 8.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.686 * [taylor]: Taking taylor expansion of 2.0 in im 8.686 * [backup-simplify]: Simplify 2.0 into 2.0 8.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.688 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.690 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.691 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.692 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.696 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.696 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.697 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.697 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 8.699 * [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)) 8.700 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.702 * [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)))))) 8.702 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 8.702 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 8.702 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.702 * [taylor]: Taking taylor expansion of +nan.0 in im 8.702 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.702 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.702 * [taylor]: Taking taylor expansion of 2.0 in im 8.702 * [backup-simplify]: Simplify 2.0 into 2.0 8.702 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 8.703 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 8.703 * [taylor]: Taking taylor expansion of +nan.0 in im 8.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.703 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 8.703 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.703 * [taylor]: Taking taylor expansion of 2.0 in im 8.703 * [backup-simplify]: Simplify 2.0 into 2.0 8.704 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.704 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.704 * [taylor]: Taking taylor expansion of im in im 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.705 * [backup-simplify]: Simplify (* 1 1) into 1 8.706 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.708 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.708 * [backup-simplify]: Simplify (- 0) into 0 8.709 * [backup-simplify]: Simplify (+ 0 0) into 0 8.709 * [backup-simplify]: Simplify (- 0) into 0 8.709 * [backup-simplify]: Simplify 0 into 0 8.710 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.712 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.713 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.714 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.715 * [backup-simplify]: Simplify (- 0) into 0 8.715 * [backup-simplify]: Simplify 0 into 0 8.715 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.719 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.720 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.720 * [backup-simplify]: Simplify (+ 0 0) into 0 8.721 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 8.722 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.724 * [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)))))) 8.724 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 8.724 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 8.725 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 8.725 * [taylor]: Taking taylor expansion of +nan.0 in im 8.725 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.725 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.725 * [taylor]: Taking taylor expansion of 2.0 in im 8.725 * [backup-simplify]: Simplify 2.0 into 2.0 8.725 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.726 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 8.726 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 8.726 * [taylor]: Taking taylor expansion of +nan.0 in im 8.726 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.726 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 8.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.727 * [taylor]: Taking taylor expansion of 2.0 in im 8.727 * [backup-simplify]: Simplify 2.0 into 2.0 8.727 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.728 * [taylor]: Taking taylor expansion of im in im 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 1 into 1 8.728 * [backup-simplify]: Simplify (* 1 1) into 1 8.729 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.732 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify (+ 0 0) into 0 8.733 * [backup-simplify]: Simplify (- 0) into 0 8.733 * [backup-simplify]: Simplify 0 into 0 8.734 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 8.735 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.741 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.742 * [backup-simplify]: Simplify (- 0) into 0 8.743 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 8.746 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 8.747 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 8.752 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 8.752 * [backup-simplify]: Simplify (sqrt (* (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (/ 1 (- re))) 2.0)) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 8.752 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 8.753 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 8.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.753 * [taylor]: Taking taylor expansion of 2.0 in im 8.753 * [backup-simplify]: Simplify 2.0 into 2.0 8.753 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.754 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 8.754 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 8.754 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.754 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.754 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.754 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.754 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.754 * [taylor]: Taking taylor expansion of -1 in im 8.754 * [backup-simplify]: Simplify -1 into -1 8.754 * [taylor]: Taking taylor expansion of re in im 8.754 * [backup-simplify]: Simplify re into re 8.754 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.754 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.754 * [taylor]: Taking taylor expansion of -1 in im 8.754 * [backup-simplify]: Simplify -1 into -1 8.754 * [taylor]: Taking taylor expansion of re in im 8.754 * [backup-simplify]: Simplify re into re 8.754 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.754 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.754 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.754 * [taylor]: Taking taylor expansion of -1 in im 8.755 * [backup-simplify]: Simplify -1 into -1 8.755 * [taylor]: Taking taylor expansion of im in im 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.755 * [backup-simplify]: Simplify (/ -1 1) into -1 8.755 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.755 * [taylor]: Taking taylor expansion of -1 in im 8.755 * [backup-simplify]: Simplify -1 into -1 8.755 * [taylor]: Taking taylor expansion of im in im 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.756 * [backup-simplify]: Simplify (/ -1 1) into -1 8.756 * [backup-simplify]: Simplify (* -1 -1) into 1 8.756 * [backup-simplify]: Simplify (+ 0 1) into 1 8.757 * [backup-simplify]: Simplify (sqrt 1) into 1 8.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.759 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.760 * [backup-simplify]: Simplify (+ 0 0) into 0 8.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.760 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.760 * [taylor]: Taking taylor expansion of re in im 8.760 * [backup-simplify]: Simplify re into re 8.761 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.761 * [backup-simplify]: Simplify (+ 1 0) into 1 8.761 * [backup-simplify]: Simplify (sqrt 0) into 0 8.763 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 8.763 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 8.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.763 * [taylor]: Taking taylor expansion of 2.0 in re 8.763 * [backup-simplify]: Simplify 2.0 into 2.0 8.764 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.765 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 8.765 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 8.765 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.765 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.765 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.765 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.765 * [taylor]: Taking taylor expansion of -1 in re 8.765 * [backup-simplify]: Simplify -1 into -1 8.765 * [taylor]: Taking taylor expansion of re in re 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [backup-simplify]: Simplify (/ -1 1) into -1 8.765 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.765 * [taylor]: Taking taylor expansion of -1 in re 8.765 * [backup-simplify]: Simplify -1 into -1 8.765 * [taylor]: Taking taylor expansion of re in re 8.765 * [backup-simplify]: Simplify 0 into 0 8.766 * [backup-simplify]: Simplify 1 into 1 8.766 * [backup-simplify]: Simplify (/ -1 1) into -1 8.766 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.766 * [taylor]: Taking taylor expansion of -1 in re 8.766 * [backup-simplify]: Simplify -1 into -1 8.766 * [taylor]: Taking taylor expansion of im in re 8.766 * [backup-simplify]: Simplify im into im 8.766 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.766 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.766 * [taylor]: Taking taylor expansion of -1 in re 8.766 * [backup-simplify]: Simplify -1 into -1 8.766 * [taylor]: Taking taylor expansion of im in re 8.766 * [backup-simplify]: Simplify im into im 8.766 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.767 * [backup-simplify]: Simplify (* -1 -1) into 1 8.767 * [backup-simplify]: Simplify (+ 1 0) into 1 8.768 * [backup-simplify]: Simplify (sqrt 1) into 1 8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.770 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.771 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.771 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.771 * [taylor]: Taking taylor expansion of re in re 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (/ 1 1) into 1 8.772 * [backup-simplify]: Simplify (- 1) into -1 8.773 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.774 * [backup-simplify]: Simplify (- 0) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.777 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.777 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.778 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.779 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.780 * [backup-simplify]: Simplify (- 0) into 0 8.780 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.781 * [backup-simplify]: Simplify (sqrt 0) into 0 8.781 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 8.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 8.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 8.782 * [taylor]: Taking taylor expansion of 2.0 in re 8.782 * [backup-simplify]: Simplify 2.0 into 2.0 8.782 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.783 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 8.783 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 8.783 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.783 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.783 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.783 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.783 * [taylor]: Taking taylor expansion of -1 in re 8.783 * [backup-simplify]: Simplify -1 into -1 8.783 * [taylor]: Taking taylor expansion of re in re 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (/ -1 1) into -1 8.784 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.784 * [taylor]: Taking taylor expansion of -1 in re 8.784 * [backup-simplify]: Simplify -1 into -1 8.784 * [taylor]: Taking taylor expansion of re in re 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (/ -1 1) into -1 8.784 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.784 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.784 * [taylor]: Taking taylor expansion of -1 in re 8.784 * [backup-simplify]: Simplify -1 into -1 8.784 * [taylor]: Taking taylor expansion of im in re 8.784 * [backup-simplify]: Simplify im into im 8.784 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.785 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.785 * [taylor]: Taking taylor expansion of -1 in re 8.785 * [backup-simplify]: Simplify -1 into -1 8.785 * [taylor]: Taking taylor expansion of im in re 8.785 * [backup-simplify]: Simplify im into im 8.785 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.785 * [backup-simplify]: Simplify (* -1 -1) into 1 8.786 * [backup-simplify]: Simplify (+ 1 0) into 1 8.786 * [backup-simplify]: Simplify (sqrt 1) into 1 8.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.789 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.789 * [backup-simplify]: Simplify (+ 0 0) into 0 8.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.790 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.790 * [taylor]: Taking taylor expansion of re in re 8.790 * [backup-simplify]: Simplify 0 into 0 8.790 * [backup-simplify]: Simplify 1 into 1 8.790 * [backup-simplify]: Simplify (/ 1 1) into 1 8.791 * [backup-simplify]: Simplify (- 1) into -1 8.791 * [backup-simplify]: Simplify (+ 1 -1) into 0 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.792 * [backup-simplify]: Simplify (- 0) into 0 8.793 * [backup-simplify]: Simplify (+ 0 0) into 0 8.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.796 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.796 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.796 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.797 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.799 * [backup-simplify]: Simplify (- 0) into 0 8.799 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 8.799 * [backup-simplify]: Simplify (sqrt 0) into 0 8.800 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 8.801 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 8.801 * [taylor]: Taking taylor expansion of 0 in im 8.801 * [backup-simplify]: Simplify 0 into 0 8.802 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 8.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 8.802 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 8.802 * [taylor]: Taking taylor expansion of +nan.0 in im 8.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.802 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 8.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.802 * [taylor]: Taking taylor expansion of 2.0 in im 8.802 * [backup-simplify]: Simplify 2.0 into 2.0 8.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.803 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.803 * [taylor]: Taking taylor expansion of im in im 8.803 * [backup-simplify]: Simplify 0 into 0 8.803 * [backup-simplify]: Simplify 1 into 1 8.803 * [backup-simplify]: Simplify (* 1 1) into 1 8.804 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.807 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 8.807 * [backup-simplify]: Simplify (- 0) into 0 8.807 * [backup-simplify]: Simplify 0 into 0 8.808 * [backup-simplify]: Simplify 0 into 0 8.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.811 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.811 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.811 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.812 * [backup-simplify]: Simplify (+ 0 0) into 0 8.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.814 * [backup-simplify]: Simplify (- 0) into 0 8.814 * [backup-simplify]: Simplify (+ 0 0) into 0 8.815 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 8.816 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.817 * [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)))) 8.818 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 8.818 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 8.818 * [taylor]: Taking taylor expansion of +nan.0 in im 8.818 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.818 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 8.818 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.818 * [taylor]: Taking taylor expansion of 2.0 in im 8.818 * [backup-simplify]: Simplify 2.0 into 2.0 8.818 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.819 * [taylor]: Taking taylor expansion of (pow im 4) in im 8.819 * [taylor]: Taking taylor expansion of im in im 8.819 * [backup-simplify]: Simplify 0 into 0 8.819 * [backup-simplify]: Simplify 1 into 1 8.819 * [backup-simplify]: Simplify (* 1 1) into 1 8.820 * [backup-simplify]: Simplify (* 1 1) into 1 8.821 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.822 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.835 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 8.836 * [backup-simplify]: Simplify (- 0) into 0 8.836 * [backup-simplify]: Simplify 0 into 0 8.837 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.840 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 8.841 * [backup-simplify]: Simplify (- 0) into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.841 * [backup-simplify]: Simplify 0 into 0 8.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.845 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 8.845 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 8.845 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 8.846 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 8.846 * [backup-simplify]: Simplify (+ 0 0) into 0 8.848 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 8.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.850 * [backup-simplify]: Simplify (- 0) into 0 8.850 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 8.851 * [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))))) 8.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.853 * [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)))))) 8.853 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 8.853 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 8.853 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 8.853 * [taylor]: Taking taylor expansion of +nan.0 in im 8.853 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.853 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 8.853 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.853 * [taylor]: Taking taylor expansion of 2.0 in im 8.853 * [backup-simplify]: Simplify 2.0 into 2.0 8.853 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.854 * [taylor]: Taking taylor expansion of (pow im 4) in im 8.854 * [taylor]: Taking taylor expansion of im in im 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [backup-simplify]: Simplify (* 1 1) into 1 8.854 * [backup-simplify]: Simplify (* 1 1) into 1 8.855 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.855 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 8.855 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 8.855 * [taylor]: Taking taylor expansion of +nan.0 in im 8.855 * [backup-simplify]: Simplify +nan.0 into +nan.0 8.855 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 8.855 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 8.855 * [taylor]: Taking taylor expansion of 2.0 in im 8.855 * [backup-simplify]: Simplify 2.0 into 2.0 8.855 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 8.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 8.856 * [taylor]: Taking taylor expansion of (pow im 6) in im 8.856 * [taylor]: Taking taylor expansion of im in im 8.856 * [backup-simplify]: Simplify 0 into 0 8.856 * [backup-simplify]: Simplify 1 into 1 8.856 * [backup-simplify]: Simplify (* 1 1) into 1 8.856 * [backup-simplify]: Simplify (* 1 1) into 1 8.856 * [backup-simplify]: Simplify (* 1 1) into 1 8.857 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 8.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.865 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 8.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 8.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 8.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 8.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.888 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 8.888 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0 0) into 0 8.889 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * [backup-simplify]: Simplify 0 into 0 8.889 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1) 8.890 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 8.890 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 8.890 * [taylor]: Taking taylor expansion of (hypot re im) in im 8.890 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.890 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 8.890 * [taylor]: Taking taylor expansion of (* re re) in im 8.890 * [taylor]: Taking taylor expansion of re in im 8.890 * [backup-simplify]: Simplify re into re 8.890 * [taylor]: Taking taylor expansion of re in im 8.890 * [backup-simplify]: Simplify re into re 8.890 * [taylor]: Taking taylor expansion of (* im im) in im 8.890 * [taylor]: Taking taylor expansion of im in im 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [taylor]: Taking taylor expansion of im in im 8.890 * [backup-simplify]: Simplify 0 into 0 8.890 * [backup-simplify]: Simplify 1 into 1 8.890 * [backup-simplify]: Simplify (* re re) into (pow re 2) 8.891 * [backup-simplify]: Simplify (* 0 0) into 0 8.891 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 8.891 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 8.891 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 8.891 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.892 * [backup-simplify]: Simplify (+ 0 0) into 0 8.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 8.892 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.892 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.892 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.892 * [taylor]: Taking taylor expansion of (* re re) in re 8.892 * [taylor]: Taking taylor expansion of re in re 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [taylor]: Taking taylor expansion of re in re 8.892 * [backup-simplify]: Simplify 0 into 0 8.892 * [backup-simplify]: Simplify 1 into 1 8.892 * [taylor]: Taking taylor expansion of (* im im) in re 8.892 * [taylor]: Taking taylor expansion of im in re 8.892 * [backup-simplify]: Simplify im into im 8.892 * [taylor]: Taking taylor expansion of im in re 8.892 * [backup-simplify]: Simplify im into im 8.893 * [backup-simplify]: Simplify (* 0 0) into 0 8.893 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.893 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.893 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.894 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.894 * [backup-simplify]: Simplify (+ 0 0) into 0 8.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.894 * [taylor]: Taking taylor expansion of (hypot re im) in re 8.894 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 8.894 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 8.894 * [taylor]: Taking taylor expansion of (* re re) in re 8.895 * [taylor]: Taking taylor expansion of re in re 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of re in re 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.895 * [taylor]: Taking taylor expansion of (* im im) in re 8.895 * [taylor]: Taking taylor expansion of im in re 8.895 * [backup-simplify]: Simplify im into im 8.895 * [taylor]: Taking taylor expansion of im in re 8.895 * [backup-simplify]: Simplify im into im 8.895 * [backup-simplify]: Simplify (* 0 0) into 0 8.895 * [backup-simplify]: Simplify (* im im) into (pow im 2) 8.895 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 8.895 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 8.896 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 8.896 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 8.897 * [backup-simplify]: Simplify (+ 0 0) into 0 8.897 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 8.897 * [taylor]: Taking taylor expansion of im in im 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 1 into 1 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [taylor]: Taking taylor expansion of 0 in im 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 0 into 0 8.897 * [backup-simplify]: Simplify 1 into 1 8.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 8.898 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 8.899 * [backup-simplify]: Simplify (+ 1 0) into 1 8.900 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 8.900 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 8.900 * [taylor]: Taking taylor expansion of 1/2 in im 8.900 * [backup-simplify]: Simplify 1/2 into 1/2 8.900 * [taylor]: Taking taylor expansion of im in im 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 1 into 1 8.900 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 8.903 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 8.904 * [backup-simplify]: Simplify (+ 0 0) into 0 8.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 8.904 * [taylor]: Taking taylor expansion of 0 in im 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify 0 into 0 8.905 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 8.905 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 8.905 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 8.905 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 8.905 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.905 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 8.905 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 8.905 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.905 * [taylor]: Taking taylor expansion of re in im 8.905 * [backup-simplify]: Simplify re into re 8.906 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.906 * [taylor]: Taking taylor expansion of (/ 1 re) in im 8.906 * [taylor]: Taking taylor expansion of re in im 8.906 * [backup-simplify]: Simplify re into re 8.906 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 8.906 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 8.906 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.906 * [taylor]: Taking taylor expansion of im in im 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (/ 1 1) into 1 8.906 * [taylor]: Taking taylor expansion of (/ 1 im) in im 8.906 * [taylor]: Taking taylor expansion of im in im 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [backup-simplify]: Simplify 1 into 1 8.907 * [backup-simplify]: Simplify (/ 1 1) into 1 8.907 * [backup-simplify]: Simplify (* 1 1) into 1 8.907 * [backup-simplify]: Simplify (+ 0 1) into 1 8.908 * [backup-simplify]: Simplify (sqrt 1) into 1 8.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.911 * [backup-simplify]: Simplify (+ 0 0) into 0 8.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.911 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.911 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.911 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.911 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.912 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.912 * [taylor]: Taking taylor expansion of re in re 8.912 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify 1 into 1 8.912 * [backup-simplify]: Simplify (/ 1 1) into 1 8.912 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.912 * [taylor]: Taking taylor expansion of re in re 8.912 * [backup-simplify]: Simplify 0 into 0 8.912 * [backup-simplify]: Simplify 1 into 1 8.913 * [backup-simplify]: Simplify (/ 1 1) into 1 8.913 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.913 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.913 * [taylor]: Taking taylor expansion of im in re 8.913 * [backup-simplify]: Simplify im into im 8.913 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.913 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.913 * [taylor]: Taking taylor expansion of im in re 8.913 * [backup-simplify]: Simplify im into im 8.913 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.914 * [backup-simplify]: Simplify (* 1 1) into 1 8.914 * [backup-simplify]: Simplify (+ 1 0) into 1 8.914 * [backup-simplify]: Simplify (sqrt 1) into 1 8.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.917 * [backup-simplify]: Simplify (+ 0 0) into 0 8.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.918 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 8.918 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 8.918 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 8.918 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 8.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.918 * [taylor]: Taking taylor expansion of re in re 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 1 into 1 8.918 * [backup-simplify]: Simplify (/ 1 1) into 1 8.918 * [taylor]: Taking taylor expansion of (/ 1 re) in re 8.918 * [taylor]: Taking taylor expansion of re in re 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (/ 1 1) into 1 8.919 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 8.919 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.919 * [taylor]: Taking taylor expansion of im in re 8.919 * [backup-simplify]: Simplify im into im 8.919 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.919 * [taylor]: Taking taylor expansion of (/ 1 im) in re 8.919 * [taylor]: Taking taylor expansion of im in re 8.919 * [backup-simplify]: Simplify im into im 8.919 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 8.919 * [backup-simplify]: Simplify (* 1 1) into 1 8.919 * [backup-simplify]: Simplify (+ 1 0) into 1 8.920 * [backup-simplify]: Simplify (sqrt 1) into 1 8.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.921 * [backup-simplify]: Simplify (+ 0 0) into 0 8.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.922 * [taylor]: Taking taylor expansion of 1 in im 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [taylor]: Taking taylor expansion of 0 in im 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.924 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 8.924 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.925 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.925 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.925 * [taylor]: Taking taylor expansion of 1/2 in im 8.925 * [backup-simplify]: Simplify 1/2 into 1/2 8.925 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.925 * [taylor]: Taking taylor expansion of im in im 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 1 into 1 8.925 * [backup-simplify]: Simplify (* 1 1) into 1 8.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 8.928 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 8.929 * [backup-simplify]: Simplify (+ 0 0) into 0 8.929 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.929 * [taylor]: Taking taylor expansion of 0 in im 8.929 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 8.931 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 8.931 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 8.931 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 8.931 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.931 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 8.931 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 8.931 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.931 * [taylor]: Taking taylor expansion of -1 in im 8.931 * [backup-simplify]: Simplify -1 into -1 8.931 * [taylor]: Taking taylor expansion of re in im 8.931 * [backup-simplify]: Simplify re into re 8.931 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.931 * [taylor]: Taking taylor expansion of (/ -1 re) in im 8.931 * [taylor]: Taking taylor expansion of -1 in im 8.931 * [backup-simplify]: Simplify -1 into -1 8.931 * [taylor]: Taking taylor expansion of re in im 8.931 * [backup-simplify]: Simplify re into re 8.931 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 8.931 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 8.931 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.931 * [taylor]: Taking taylor expansion of -1 in im 8.931 * [backup-simplify]: Simplify -1 into -1 8.931 * [taylor]: Taking taylor expansion of im in im 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (/ -1 1) into -1 8.931 * [taylor]: Taking taylor expansion of (/ -1 im) in im 8.931 * [taylor]: Taking taylor expansion of -1 in im 8.931 * [backup-simplify]: Simplify -1 into -1 8.931 * [taylor]: Taking taylor expansion of im in im 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.932 * [backup-simplify]: Simplify (/ -1 1) into -1 8.932 * [backup-simplify]: Simplify (* -1 -1) into 1 8.932 * [backup-simplify]: Simplify (+ 0 1) into 1 8.932 * [backup-simplify]: Simplify (sqrt 1) into 1 8.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.934 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.934 * [backup-simplify]: Simplify (+ 0 0) into 0 8.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.935 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.935 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.935 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.935 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.935 * [taylor]: Taking taylor expansion of -1 in re 8.935 * [backup-simplify]: Simplify -1 into -1 8.935 * [taylor]: Taking taylor expansion of re in re 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (/ -1 1) into -1 8.935 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.935 * [taylor]: Taking taylor expansion of -1 in re 8.935 * [backup-simplify]: Simplify -1 into -1 8.935 * [taylor]: Taking taylor expansion of re in re 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [backup-simplify]: Simplify (/ -1 1) into -1 8.935 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.936 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.936 * [taylor]: Taking taylor expansion of -1 in re 8.936 * [backup-simplify]: Simplify -1 into -1 8.936 * [taylor]: Taking taylor expansion of im in re 8.936 * [backup-simplify]: Simplify im into im 8.936 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.936 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.936 * [taylor]: Taking taylor expansion of -1 in re 8.936 * [backup-simplify]: Simplify -1 into -1 8.936 * [taylor]: Taking taylor expansion of im in re 8.936 * [backup-simplify]: Simplify im into im 8.936 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.936 * [backup-simplify]: Simplify (* -1 -1) into 1 8.936 * [backup-simplify]: Simplify (+ 1 0) into 1 8.936 * [backup-simplify]: Simplify (sqrt 1) into 1 8.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.938 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.938 * [backup-simplify]: Simplify (+ 0 0) into 0 8.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.939 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 8.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 8.939 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 8.939 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 8.939 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.939 * [taylor]: Taking taylor expansion of -1 in re 8.939 * [backup-simplify]: Simplify -1 into -1 8.939 * [taylor]: Taking taylor expansion of re in re 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify (/ -1 1) into -1 8.939 * [taylor]: Taking taylor expansion of (/ -1 re) in re 8.939 * [taylor]: Taking taylor expansion of -1 in re 8.939 * [backup-simplify]: Simplify -1 into -1 8.939 * [taylor]: Taking taylor expansion of re in re 8.939 * [backup-simplify]: Simplify 0 into 0 8.939 * [backup-simplify]: Simplify 1 into 1 8.939 * [backup-simplify]: Simplify (/ -1 1) into -1 8.940 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 8.940 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.940 * [taylor]: Taking taylor expansion of -1 in re 8.940 * [backup-simplify]: Simplify -1 into -1 8.940 * [taylor]: Taking taylor expansion of im in re 8.940 * [backup-simplify]: Simplify im into im 8.940 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.940 * [taylor]: Taking taylor expansion of (/ -1 im) in re 8.940 * [taylor]: Taking taylor expansion of -1 in re 8.940 * [backup-simplify]: Simplify -1 into -1 8.940 * [taylor]: Taking taylor expansion of im in re 8.940 * [backup-simplify]: Simplify im into im 8.940 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 8.940 * [backup-simplify]: Simplify (* -1 -1) into 1 8.940 * [backup-simplify]: Simplify (+ 1 0) into 1 8.941 * [backup-simplify]: Simplify (sqrt 1) into 1 8.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 8.942 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.943 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.943 * [taylor]: Taking taylor expansion of 1 in im 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [taylor]: Taking taylor expansion of 0 in im 8.943 * [backup-simplify]: Simplify 0 into 0 8.943 * [backup-simplify]: Simplify 1 into 1 8.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.945 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 8.945 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 8.945 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 8.946 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 8.946 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 8.946 * [taylor]: Taking taylor expansion of 1/2 in im 8.946 * [backup-simplify]: Simplify 1/2 into 1/2 8.946 * [taylor]: Taking taylor expansion of (pow im 2) in im 8.946 * [taylor]: Taking taylor expansion of im in im 8.946 * [backup-simplify]: Simplify 0 into 0 8.946 * [backup-simplify]: Simplify 1 into 1 8.946 * [backup-simplify]: Simplify (* 1 1) into 1 8.946 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.948 * [backup-simplify]: Simplify 0 into 0 8.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 8.952 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.952 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 8.952 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 8.952 * [backup-simplify]: Simplify (+ 0 0) into 0 8.953 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 8.953 * [taylor]: Taking taylor expansion of 0 in im 8.953 * [backup-simplify]: Simplify 0 into 0 8.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify 0 into 0 8.955 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 8.955 * * * [progress]: simplifying candidates 8.955 * * * * [progress]: [ 1 / 106 ] simplifiying candidate # 8.955 * * * * [progress]: [ 2 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 3 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 4 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 5 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 6 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 7 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 8 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 9 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 10 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 11 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 12 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 13 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 14 / 106 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) 2.0))))> 8.956 * * * * [progress]: [ 15 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 16 / 106 ] simplifiying candidate # 8.956 * * * * [progress]: [ 17 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 18 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 19 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 20 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 21 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 22 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 23 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 24 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 25 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 26 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 27 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 28 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 29 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 30 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 31 / 106 ] simplifiying candidate # 8.957 * * * * [progress]: [ 32 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 33 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 34 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 35 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 36 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 37 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 38 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 39 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 40 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 41 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 42 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 43 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 44 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 45 / 106 ] simplifiying candidate # 8.958 * * * * [progress]: [ 46 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 47 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 48 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 49 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 50 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 51 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 52 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 53 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 54 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 55 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 56 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 57 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 58 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 59 / 106 ] simplifiying candidate # 8.959 * * * * [progress]: [ 60 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 61 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 62 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 63 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 64 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 65 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 66 / 106 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im))))) re) 2.0))))> 8.960 * * * * [progress]: [ 67 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 68 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 69 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 70 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 71 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 72 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 73 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 74 / 106 ] simplifiying candidate # 8.960 * * * * [progress]: [ 75 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 76 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 77 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 78 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 79 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 80 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 81 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 82 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 83 / 106 ] simplifiying candidate #real (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))))))> 8.961 * * * * [progress]: [ 84 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 85 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 86 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 87 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 88 / 106 ] simplifiying candidate # 8.961 * * * * [progress]: [ 89 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 90 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 91 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 92 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 93 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 94 / 106 ] simplifiying candidate #real (real->posit16 (hypot re im))))) re) 2.0))))> 8.962 * * * * [progress]: [ 95 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 96 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 97 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 98 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 99 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 100 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 101 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 102 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 103 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 104 / 106 ] simplifiying candidate # 8.962 * * * * [progress]: [ 105 / 106 ] simplifiying candidate # 8.963 * * * * [progress]: [ 106 / 106 ] simplifiying candidate # 8.964 * [simplify]: Simplifying: (expm1 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (real->posit16 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (log1p (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (log (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (exp (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (* (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)))) (cbrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (* (* (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0)) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (sqrt 2.0) (sqrt (* (+ (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3) (pow re 3)) 2.0)) (sqrt (+ (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)))) (sqrt (* (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re re)) 2.0)) (sqrt (- (* (sqrt (hypot re im)) (sqrt (hypot re im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (sqrt (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (real->posit16 (sqrt (* (+ (* (sqrt (hypot re im)) (sqrt (hypot re im))) re) 2.0))) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 0 im re (* -1 re) 8.967 * * [simplify]: iteration 1: (133 enodes) 9.005 * * [simplify]: iteration 2: (286 enodes) 9.096 * * [simplify]: iteration 3: (735 enodes) 9.511 * * [simplify]: iteration 4: (1897 enodes) 13.537 * * [simplify]: Extracting #0: cost 56 inf + 0 13.538 * * [simplify]: Extracting #1: cost 314 inf + 6 13.553 * * [simplify]: Extracting #2: cost 931 inf + 7226 13.586 * * [simplify]: Extracting #3: cost 761 inf + 62492 13.653 * * [simplify]: Extracting #4: cost 168 inf + 191338 13.730 * * [simplify]: Extracting #5: cost 2 inf + 250602 13.816 * * [simplify]: Extracting #6: cost 0 inf + 251415 13.910 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im))) (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im))) (* (+ (hypot re im) re) (- (hypot re im) re)) (- (hypot re im) re) (real->posit16 (+ re (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 2 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) 2 (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 (hypot re im) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) 1 2 1 (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (fabs (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (real->posit16 (hypot re im)) (expm1 (sqrt (* 2.0 (+ re (hypot re im))))) (log1p (sqrt (* 2.0 (+ re (hypot re im))))) (log (sqrt (* 2.0 (+ re (hypot re im))))) (exp (sqrt (* 2.0 (+ re (hypot re im))))) (* (cbrt (sqrt (* 2.0 (+ re (hypot re im))))) (cbrt (sqrt (* 2.0 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (+ re (hypot re im))))) (* (sqrt (* 2.0 (+ re (hypot re im)))) (* 2.0 (+ re (hypot re im)))) (sqrt (+ re (hypot re im))) (sqrt 2.0) (sqrt (* (fma (* re re) re (* (* (hypot re im) (hypot re im)) (hypot re im))) 2.0)) (sqrt (fma (- re (hypot re im)) re (* (hypot re im) (hypot re im)))) (sqrt (* (- (hypot re im) re) (* 2.0 (+ re (hypot re im))))) (sqrt (- (hypot re im) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ re (hypot re im))))) (sqrt (sqrt (* 2.0 (+ re (hypot re im))))) (real->posit16 (sqrt (* 2.0 (+ re (hypot re im))))) (expm1 (hypot re im)) (log1p (hypot re im)) (fma im im (* re re)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (real->posit16 (hypot re im)) (+ im re) (* 2 re) 0 im re (- re) (* (* +nan.0 (sqrt 2.0)) (fma (- re) re (- im re))) (- (fma (/ (sqrt 2.0) re) (/ +nan.0 re) (* +nan.0 (- (sqrt 2.0) (/ (sqrt 2.0) re))))) 0 im re (- re) 13.919 * * * [progress]: adding candidates to table 15.045 * * [progress]: iteration 4 / 4 15.045 * * * [progress]: picking best candidate 15.086 * * * * [pick]: Picked # 15.086 * * * [progress]: localizing error 15.132 * * * [progress]: generating rewritten candidates 15.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 15.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 15.312 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2 1 1) 15.325 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 1 2) 15.327 * * * [progress]: generating series expansions 15.327 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 15.328 * [backup-simplify]: Simplify (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) into (+ (hypot re im) re) 15.328 * [approximate]: Taking taylor expansion of (+ (hypot re im) re) in (re im) around 0 15.328 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in im 15.328 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.328 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.328 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.328 * [taylor]: Taking taylor expansion of (* re re) in im 15.328 * [taylor]: Taking taylor expansion of re in im 15.328 * [backup-simplify]: Simplify re into re 15.328 * [taylor]: Taking taylor expansion of re in im 15.328 * [backup-simplify]: Simplify re into re 15.328 * [taylor]: Taking taylor expansion of (* im im) in im 15.328 * [taylor]: Taking taylor expansion of im in im 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify 1 into 1 15.328 * [taylor]: Taking taylor expansion of im in im 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify 1 into 1 15.328 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.329 * [backup-simplify]: Simplify (* 0 0) into 0 15.329 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.329 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.329 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.329 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.329 * [backup-simplify]: Simplify (+ 0 0) into 0 15.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.329 * [taylor]: Taking taylor expansion of re in im 15.330 * [backup-simplify]: Simplify re into re 15.330 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.330 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.330 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.330 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.330 * [taylor]: Taking taylor expansion of (* re re) in re 15.330 * [taylor]: Taking taylor expansion of re in re 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 1 into 1 15.330 * [taylor]: Taking taylor expansion of re in re 15.330 * [backup-simplify]: Simplify 0 into 0 15.330 * [backup-simplify]: Simplify 1 into 1 15.330 * [taylor]: Taking taylor expansion of (* im im) in re 15.330 * [taylor]: Taking taylor expansion of im in re 15.330 * [backup-simplify]: Simplify im into im 15.330 * [taylor]: Taking taylor expansion of im in re 15.330 * [backup-simplify]: Simplify im into im 15.330 * [backup-simplify]: Simplify (* 0 0) into 0 15.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.330 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.330 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.331 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.331 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.331 * [backup-simplify]: Simplify (+ 0 0) into 0 15.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.331 * [taylor]: Taking taylor expansion of re in re 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [taylor]: Taking taylor expansion of (+ (hypot re im) re) in re 15.331 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.331 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.331 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.331 * [taylor]: Taking taylor expansion of (* re re) in re 15.331 * [taylor]: Taking taylor expansion of re in re 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [taylor]: Taking taylor expansion of re in re 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [taylor]: Taking taylor expansion of (* im im) in re 15.331 * [taylor]: Taking taylor expansion of im in re 15.331 * [backup-simplify]: Simplify im into im 15.331 * [taylor]: Taking taylor expansion of im in re 15.331 * [backup-simplify]: Simplify im into im 15.332 * [backup-simplify]: Simplify (* 0 0) into 0 15.332 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.332 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.332 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.332 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.332 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.332 * [backup-simplify]: Simplify (+ 0 0) into 0 15.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.332 * [taylor]: Taking taylor expansion of re in re 15.333 * [backup-simplify]: Simplify 0 into 0 15.333 * [backup-simplify]: Simplify 1 into 1 15.333 * [backup-simplify]: Simplify (+ im 0) into im 15.333 * [taylor]: Taking taylor expansion of im in im 15.333 * [backup-simplify]: Simplify 0 into 0 15.333 * [backup-simplify]: Simplify 1 into 1 15.333 * [backup-simplify]: Simplify 0 into 0 15.333 * [backup-simplify]: Simplify (+ 0 1) into 1 15.333 * [taylor]: Taking taylor expansion of 1 in im 15.333 * [backup-simplify]: Simplify 1 into 1 15.333 * [backup-simplify]: Simplify 1 into 1 15.333 * [backup-simplify]: Simplify 1 into 1 15.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.334 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.334 * [backup-simplify]: Simplify (+ 1 0) into 1 15.335 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.335 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 15.335 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 15.335 * [taylor]: Taking taylor expansion of 1/2 in im 15.335 * [backup-simplify]: Simplify 1/2 into 1/2 15.335 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.335 * [taylor]: Taking taylor expansion of im in im 15.335 * [backup-simplify]: Simplify 0 into 0 15.335 * [backup-simplify]: Simplify 1 into 1 15.335 * [backup-simplify]: Simplify (/ 1 1) into 1 15.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.336 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify 0 into 0 15.336 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.338 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.338 * [backup-simplify]: Simplify (+ 0 0) into 0 15.338 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.338 * [backup-simplify]: Simplify (+ 0 0) into 0 15.338 * [taylor]: Taking taylor expansion of 0 in im 15.338 * [backup-simplify]: Simplify 0 into 0 15.338 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 15.340 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) 15.340 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 15.340 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in im 15.340 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.340 * [taylor]: Taking taylor expansion of re in im 15.340 * [backup-simplify]: Simplify re into re 15.340 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.340 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.340 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.340 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.340 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.340 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.340 * [taylor]: Taking taylor expansion of re in im 15.340 * [backup-simplify]: Simplify re into re 15.340 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.340 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.340 * [taylor]: Taking taylor expansion of re in im 15.340 * [backup-simplify]: Simplify re into re 15.340 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.340 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.340 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.340 * [taylor]: Taking taylor expansion of im in im 15.340 * [backup-simplify]: Simplify 0 into 0 15.340 * [backup-simplify]: Simplify 1 into 1 15.341 * [backup-simplify]: Simplify (/ 1 1) into 1 15.341 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.341 * [taylor]: Taking taylor expansion of im in im 15.341 * [backup-simplify]: Simplify 0 into 0 15.341 * [backup-simplify]: Simplify 1 into 1 15.341 * [backup-simplify]: Simplify (/ 1 1) into 1 15.341 * [backup-simplify]: Simplify (* 1 1) into 1 15.341 * [backup-simplify]: Simplify (+ 0 1) into 1 15.342 * [backup-simplify]: Simplify (sqrt 1) into 1 15.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.343 * [backup-simplify]: Simplify (+ 0 0) into 0 15.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.344 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.344 * [taylor]: Taking taylor expansion of re in re 15.344 * [backup-simplify]: Simplify 0 into 0 15.344 * [backup-simplify]: Simplify 1 into 1 15.344 * [backup-simplify]: Simplify (/ 1 1) into 1 15.344 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.344 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.344 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.344 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.344 * [taylor]: Taking taylor expansion of re in re 15.344 * [backup-simplify]: Simplify 0 into 0 15.344 * [backup-simplify]: Simplify 1 into 1 15.344 * [backup-simplify]: Simplify (/ 1 1) into 1 15.344 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.344 * [taylor]: Taking taylor expansion of re in re 15.344 * [backup-simplify]: Simplify 0 into 0 15.344 * [backup-simplify]: Simplify 1 into 1 15.345 * [backup-simplify]: Simplify (/ 1 1) into 1 15.345 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.345 * [taylor]: Taking taylor expansion of im in re 15.345 * [backup-simplify]: Simplify im into im 15.345 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.345 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.345 * [taylor]: Taking taylor expansion of im in re 15.345 * [backup-simplify]: Simplify im into im 15.345 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.345 * [backup-simplify]: Simplify (* 1 1) into 1 15.345 * [backup-simplify]: Simplify (+ 1 0) into 1 15.346 * [backup-simplify]: Simplify (sqrt 1) into 1 15.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.347 * [backup-simplify]: Simplify (+ 0 0) into 0 15.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.348 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) in re 15.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.348 * [taylor]: Taking taylor expansion of re in re 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 1 into 1 15.348 * [backup-simplify]: Simplify (/ 1 1) into 1 15.348 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.348 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.348 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.348 * [taylor]: Taking taylor expansion of re in re 15.348 * [backup-simplify]: Simplify 0 into 0 15.348 * [backup-simplify]: Simplify 1 into 1 15.348 * [backup-simplify]: Simplify (/ 1 1) into 1 15.349 * [taylor]: Taking taylor expansion of (/ 1 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 * [backup-simplify]: Simplify (/ 1 1) into 1 15.349 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.349 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.349 * [taylor]: Taking taylor expansion of im in re 15.349 * [backup-simplify]: Simplify im into im 15.349 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.349 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.349 * [taylor]: Taking taylor expansion of im in re 15.349 * [backup-simplify]: Simplify im into im 15.349 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.349 * [backup-simplify]: Simplify (* 1 1) into 1 15.350 * [backup-simplify]: Simplify (+ 1 0) into 1 15.350 * [backup-simplify]: Simplify (sqrt 1) into 1 15.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.351 * [backup-simplify]: Simplify (+ 0 0) into 0 15.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.352 * [backup-simplify]: Simplify (+ 1 1) into 2 15.352 * [taylor]: Taking taylor expansion of 2 in im 15.352 * [backup-simplify]: Simplify 2 into 2 15.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.353 * [backup-simplify]: Simplify (+ 0 0) into 0 15.353 * [taylor]: Taking taylor expansion of 0 in im 15.353 * [backup-simplify]: Simplify 0 into 0 15.353 * [backup-simplify]: Simplify 2 into 2 15.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.355 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.355 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.356 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.356 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 15.356 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.356 * [taylor]: Taking taylor expansion of 1/2 in im 15.356 * [backup-simplify]: Simplify 1/2 into 1/2 15.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.356 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.356 * [taylor]: Taking taylor expansion of im in im 15.356 * [backup-simplify]: Simplify 0 into 0 15.356 * [backup-simplify]: Simplify 1 into 1 15.357 * [backup-simplify]: Simplify (* 1 1) into 1 15.357 * [backup-simplify]: Simplify (/ 1 1) into 1 15.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify 0 into 0 15.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.361 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.361 * [backup-simplify]: Simplify (+ 0 0) into 0 15.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.362 * [backup-simplify]: Simplify (+ 0 0) into 0 15.362 * [taylor]: Taking taylor expansion of 0 in im 15.362 * [backup-simplify]: Simplify 0 into 0 15.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 15.363 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 15.364 * [backup-simplify]: Simplify (+ (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 15.364 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 15.364 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 15.364 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.364 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.364 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.364 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.364 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.364 * [taylor]: Taking taylor expansion of -1 in im 15.364 * [backup-simplify]: Simplify -1 into -1 15.364 * [taylor]: Taking taylor expansion of re in im 15.364 * [backup-simplify]: Simplify re into re 15.364 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.364 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.364 * [taylor]: Taking taylor expansion of -1 in im 15.364 * [backup-simplify]: Simplify -1 into -1 15.364 * [taylor]: Taking taylor expansion of re in im 15.364 * [backup-simplify]: Simplify re into re 15.364 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.364 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.364 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.364 * [taylor]: Taking taylor expansion of -1 in im 15.364 * [backup-simplify]: Simplify -1 into -1 15.364 * [taylor]: Taking taylor expansion of im in im 15.364 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify 1 into 1 15.365 * [backup-simplify]: Simplify (/ -1 1) into -1 15.365 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.365 * [taylor]: Taking taylor expansion of -1 in im 15.365 * [backup-simplify]: Simplify -1 into -1 15.365 * [taylor]: Taking taylor expansion of im in im 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 1 into 1 15.365 * [backup-simplify]: Simplify (/ -1 1) into -1 15.365 * [backup-simplify]: Simplify (* -1 -1) into 1 15.366 * [backup-simplify]: Simplify (+ 0 1) into 1 15.366 * [backup-simplify]: Simplify (sqrt 1) into 1 15.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.367 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.368 * [backup-simplify]: Simplify (+ 0 0) into 0 15.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.368 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.368 * [taylor]: Taking taylor expansion of re in im 15.368 * [backup-simplify]: Simplify re into re 15.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.368 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.368 * [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 -1 in re 15.368 * [backup-simplify]: Simplify -1 into -1 15.368 * [taylor]: Taking taylor expansion of re in re 15.368 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.369 * [backup-simplify]: Simplify (/ -1 1) into -1 15.369 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.369 * [taylor]: Taking taylor expansion of -1 in re 15.369 * [backup-simplify]: Simplify -1 into -1 15.369 * [taylor]: Taking taylor expansion of re in re 15.369 * [backup-simplify]: Simplify 0 into 0 15.369 * [backup-simplify]: Simplify 1 into 1 15.369 * [backup-simplify]: Simplify (/ -1 1) into -1 15.369 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.369 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.369 * [taylor]: Taking taylor expansion of -1 in re 15.369 * [backup-simplify]: Simplify -1 into -1 15.369 * [taylor]: Taking taylor expansion of im in re 15.369 * [backup-simplify]: Simplify im into im 15.369 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.369 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.369 * [taylor]: Taking taylor expansion of -1 in re 15.369 * [backup-simplify]: Simplify -1 into -1 15.369 * [taylor]: Taking taylor expansion of im in re 15.369 * [backup-simplify]: Simplify im into im 15.369 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.370 * [backup-simplify]: Simplify (* -1 -1) into 1 15.370 * [backup-simplify]: Simplify (+ 1 0) into 1 15.370 * [backup-simplify]: Simplify (sqrt 1) into 1 15.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.372 * [backup-simplify]: Simplify (+ 0 0) into 0 15.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.373 * [taylor]: Taking taylor expansion of re in re 15.373 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify 1 into 1 15.373 * [backup-simplify]: Simplify (/ 1 1) into 1 15.373 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 15.373 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.373 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.373 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.373 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.373 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.373 * [taylor]: Taking taylor expansion of -1 in re 15.373 * [backup-simplify]: Simplify -1 into -1 15.373 * [taylor]: Taking taylor expansion of re in re 15.373 * [backup-simplify]: Simplify 0 into 0 15.373 * [backup-simplify]: Simplify 1 into 1 15.373 * [backup-simplify]: Simplify (/ -1 1) into -1 15.373 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.374 * [taylor]: Taking taylor expansion of -1 in re 15.374 * [backup-simplify]: Simplify -1 into -1 15.374 * [taylor]: Taking taylor expansion of re in re 15.374 * [backup-simplify]: Simplify 0 into 0 15.374 * [backup-simplify]: Simplify 1 into 1 15.374 * [backup-simplify]: Simplify (/ -1 1) into -1 15.374 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.374 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.374 * [taylor]: Taking taylor expansion of -1 in re 15.374 * [backup-simplify]: Simplify -1 into -1 15.374 * [taylor]: Taking taylor expansion of im in re 15.374 * [backup-simplify]: Simplify im into im 15.374 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.374 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.374 * [taylor]: Taking taylor expansion of -1 in re 15.374 * [backup-simplify]: Simplify -1 into -1 15.374 * [taylor]: Taking taylor expansion of im in re 15.374 * [backup-simplify]: Simplify im into im 15.374 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.374 * [backup-simplify]: Simplify (* -1 -1) into 1 15.375 * [backup-simplify]: Simplify (+ 1 0) into 1 15.375 * [backup-simplify]: Simplify (sqrt 1) into 1 15.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.376 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.377 * [backup-simplify]: Simplify (+ 0 0) into 0 15.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.377 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.377 * [taylor]: Taking taylor expansion of re in re 15.377 * [backup-simplify]: Simplify 0 into 0 15.377 * [backup-simplify]: Simplify 1 into 1 15.377 * [backup-simplify]: Simplify (/ 1 1) into 1 15.378 * [backup-simplify]: Simplify (- 1) into -1 15.378 * [backup-simplify]: Simplify (+ 1 -1) into 0 15.378 * [taylor]: Taking taylor expansion of 0 in im 15.378 * [backup-simplify]: Simplify 0 into 0 15.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.379 * [backup-simplify]: Simplify (- 0) into 0 15.379 * [backup-simplify]: Simplify (+ 0 0) into 0 15.379 * [taylor]: Taking taylor expansion of 0 in im 15.379 * [backup-simplify]: Simplify 0 into 0 15.379 * [backup-simplify]: Simplify 0 into 0 15.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.381 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.381 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.381 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.382 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.383 * [backup-simplify]: Simplify (- 0) into 0 15.383 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 15.383 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 15.383 * [taylor]: Taking taylor expansion of 1/2 in im 15.383 * [backup-simplify]: Simplify 1/2 into 1/2 15.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.383 * [taylor]: Taking taylor expansion of im in im 15.383 * [backup-simplify]: Simplify 0 into 0 15.383 * [backup-simplify]: Simplify 1 into 1 15.383 * [backup-simplify]: Simplify (* 1 1) into 1 15.383 * [backup-simplify]: Simplify (/ 1 1) into 1 15.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [backup-simplify]: Simplify 0 into 0 15.385 * [backup-simplify]: Simplify 0 into 0 15.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -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 (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.387 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.389 * [backup-simplify]: Simplify (- 0) into 0 15.389 * [backup-simplify]: Simplify (+ 0 0) into 0 15.389 * [taylor]: Taking taylor expansion of 0 in im 15.389 * [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 15.391 * [backup-simplify]: Simplify 0 into 0 15.391 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 15.391 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) into (hypot re im) 15.391 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 15.391 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.391 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.391 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.391 * [taylor]: Taking taylor expansion of (* re re) in im 15.391 * [taylor]: Taking taylor expansion of re in im 15.391 * [backup-simplify]: Simplify re into re 15.392 * [taylor]: Taking taylor expansion of re in im 15.392 * [backup-simplify]: Simplify re into re 15.392 * [taylor]: Taking taylor expansion of (* im im) in im 15.392 * [taylor]: Taking taylor expansion of im in im 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.392 * [taylor]: Taking taylor expansion of im in im 15.392 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify 1 into 1 15.392 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.392 * [backup-simplify]: Simplify (* 0 0) into 0 15.392 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.392 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.392 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.393 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.393 * [backup-simplify]: Simplify (+ 0 0) into 0 15.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.394 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.394 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.394 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.394 * [taylor]: Taking taylor expansion of (* re re) in re 15.394 * [taylor]: Taking taylor expansion of re in re 15.394 * [backup-simplify]: Simplify 0 into 0 15.394 * [backup-simplify]: Simplify 1 into 1 15.394 * [taylor]: Taking taylor expansion of re in re 15.394 * [backup-simplify]: Simplify 0 into 0 15.394 * [backup-simplify]: Simplify 1 into 1 15.394 * [taylor]: Taking taylor expansion of (* im im) in re 15.394 * [taylor]: Taking taylor expansion of im in re 15.394 * [backup-simplify]: Simplify im into im 15.394 * [taylor]: Taking taylor expansion of im in re 15.394 * [backup-simplify]: Simplify im into im 15.394 * [backup-simplify]: Simplify (* 0 0) into 0 15.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.394 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.395 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.395 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.395 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.396 * [backup-simplify]: Simplify (+ 0 0) into 0 15.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.396 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.396 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.396 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.396 * [taylor]: Taking taylor expansion of (* re re) in re 15.396 * [taylor]: Taking taylor expansion of re in re 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [backup-simplify]: Simplify 1 into 1 15.396 * [taylor]: Taking taylor expansion of re in re 15.396 * [backup-simplify]: Simplify 0 into 0 15.396 * [backup-simplify]: Simplify 1 into 1 15.396 * [taylor]: Taking taylor expansion of (* im im) in re 15.396 * [taylor]: Taking taylor expansion of im in re 15.396 * [backup-simplify]: Simplify im into im 15.396 * [taylor]: Taking taylor expansion of im in re 15.396 * [backup-simplify]: Simplify im into im 15.396 * [backup-simplify]: Simplify (* 0 0) into 0 15.397 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.397 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.397 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.397 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.398 * [backup-simplify]: Simplify (+ 0 0) into 0 15.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.398 * [taylor]: Taking taylor expansion of im in im 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify 1 into 1 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [taylor]: Taking taylor expansion of 0 in im 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify 0 into 0 15.398 * [backup-simplify]: Simplify 1 into 1 15.399 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.400 * [backup-simplify]: Simplify (+ 1 0) into 1 15.401 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.401 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 15.401 * [taylor]: Taking taylor expansion of 1/2 in im 15.401 * [backup-simplify]: Simplify 1/2 into 1/2 15.401 * [taylor]: Taking taylor expansion of im in im 15.401 * [backup-simplify]: Simplify 0 into 0 15.401 * [backup-simplify]: Simplify 1 into 1 15.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.402 * [backup-simplify]: Simplify 0 into 0 15.402 * [backup-simplify]: Simplify 0 into 0 15.402 * [backup-simplify]: Simplify 0 into 0 15.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.404 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.405 * [backup-simplify]: Simplify (+ 0 0) into 0 15.405 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.405 * [taylor]: Taking taylor expansion of 0 in im 15.405 * [backup-simplify]: Simplify 0 into 0 15.405 * [backup-simplify]: Simplify 0 into 0 15.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.406 * [backup-simplify]: Simplify 0 into 0 15.406 * [backup-simplify]: Simplify 0 into 0 15.406 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 15.406 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (* (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) (cbrt (hypot (/ 1 re) (/ 1 im)))))) into (hypot (/ 1 re) (/ 1 im)) 15.406 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 15.407 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.407 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.407 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.407 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.407 * [taylor]: Taking taylor expansion of re in im 15.407 * [backup-simplify]: Simplify re into re 15.407 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.407 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.407 * [taylor]: Taking taylor expansion of re in im 15.407 * [backup-simplify]: Simplify re into re 15.407 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.407 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.407 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.407 * [taylor]: Taking taylor expansion of im in im 15.407 * [backup-simplify]: Simplify 0 into 0 15.407 * [backup-simplify]: Simplify 1 into 1 15.410 * [backup-simplify]: Simplify (/ 1 1) into 1 15.410 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.410 * [taylor]: Taking taylor expansion of im in im 15.410 * [backup-simplify]: Simplify 0 into 0 15.410 * [backup-simplify]: Simplify 1 into 1 15.411 * [backup-simplify]: Simplify (/ 1 1) into 1 15.411 * [backup-simplify]: Simplify (* 1 1) into 1 15.412 * [backup-simplify]: Simplify (+ 0 1) into 1 15.412 * [backup-simplify]: Simplify (sqrt 1) into 1 15.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.415 * [backup-simplify]: Simplify (+ 0 0) into 0 15.415 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.415 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.416 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.416 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.416 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.416 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.416 * [taylor]: Taking taylor expansion of re in re 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [backup-simplify]: Simplify 1 into 1 15.416 * [backup-simplify]: Simplify (/ 1 1) into 1 15.416 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.416 * [taylor]: Taking taylor expansion of re in re 15.416 * [backup-simplify]: Simplify 0 into 0 15.416 * [backup-simplify]: Simplify 1 into 1 15.417 * [backup-simplify]: Simplify (/ 1 1) into 1 15.417 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.417 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.417 * [taylor]: Taking taylor expansion of im in re 15.417 * [backup-simplify]: Simplify im into im 15.417 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.417 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.417 * [taylor]: Taking taylor expansion of im in re 15.417 * [backup-simplify]: Simplify im into im 15.417 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.418 * [backup-simplify]: Simplify (* 1 1) into 1 15.418 * [backup-simplify]: Simplify (+ 1 0) into 1 15.418 * [backup-simplify]: Simplify (sqrt 1) into 1 15.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.421 * [backup-simplify]: Simplify (+ 0 0) into 0 15.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.422 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.422 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.422 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.422 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.422 * [taylor]: Taking taylor expansion of re in re 15.422 * [backup-simplify]: Simplify 0 into 0 15.422 * [backup-simplify]: Simplify 1 into 1 15.423 * [backup-simplify]: Simplify (/ 1 1) into 1 15.423 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.423 * [taylor]: Taking taylor expansion of re in re 15.423 * [backup-simplify]: Simplify 0 into 0 15.423 * [backup-simplify]: Simplify 1 into 1 15.423 * [backup-simplify]: Simplify (/ 1 1) into 1 15.423 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.423 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.423 * [taylor]: Taking taylor expansion of im in re 15.423 * [backup-simplify]: Simplify im into im 15.423 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.423 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.423 * [taylor]: Taking taylor expansion of im in re 15.423 * [backup-simplify]: Simplify im into im 15.423 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.424 * [backup-simplify]: Simplify (* 1 1) into 1 15.424 * [backup-simplify]: Simplify (+ 1 0) into 1 15.425 * [backup-simplify]: Simplify (sqrt 1) into 1 15.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.427 * [backup-simplify]: Simplify (+ 0 0) into 0 15.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.428 * [taylor]: Taking taylor expansion of 1 in im 15.428 * [backup-simplify]: Simplify 1 into 1 15.428 * [taylor]: Taking taylor expansion of 0 in im 15.428 * [backup-simplify]: Simplify 0 into 0 15.428 * [backup-simplify]: Simplify 1 into 1 15.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.431 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.433 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.433 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.433 * [taylor]: Taking taylor expansion of 1/2 in im 15.433 * [backup-simplify]: Simplify 1/2 into 1/2 15.433 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.433 * [taylor]: Taking taylor expansion of im in im 15.433 * [backup-simplify]: Simplify 0 into 0 15.433 * [backup-simplify]: Simplify 1 into 1 15.433 * [backup-simplify]: Simplify (* 1 1) into 1 15.434 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.435 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 0 into 0 15.436 * [backup-simplify]: Simplify 0 into 0 15.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.439 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.439 * [backup-simplify]: Simplify (+ 0 0) into 0 15.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.440 * [taylor]: Taking taylor expansion of 0 in im 15.440 * [backup-simplify]: Simplify 0 into 0 15.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify 0 into 0 15.442 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 15.443 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (* (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (hypot (/ -1 re) (/ -1 im)) 15.443 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 15.443 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.443 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.443 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.443 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.443 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.443 * [taylor]: Taking taylor expansion of -1 in im 15.443 * [backup-simplify]: Simplify -1 into -1 15.443 * [taylor]: Taking taylor expansion of re in im 15.443 * [backup-simplify]: Simplify re into re 15.443 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.443 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.443 * [taylor]: Taking taylor expansion of -1 in im 15.443 * [backup-simplify]: Simplify -1 into -1 15.443 * [taylor]: Taking taylor expansion of re in im 15.443 * [backup-simplify]: Simplify re into re 15.444 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.444 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.444 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.444 * [taylor]: Taking taylor expansion of -1 in im 15.444 * [backup-simplify]: Simplify -1 into -1 15.444 * [taylor]: Taking taylor expansion of im in im 15.444 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify 1 into 1 15.444 * [backup-simplify]: Simplify (/ -1 1) into -1 15.444 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.444 * [taylor]: Taking taylor expansion of -1 in im 15.444 * [backup-simplify]: Simplify -1 into -1 15.444 * [taylor]: Taking taylor expansion of im in im 15.444 * [backup-simplify]: Simplify 0 into 0 15.444 * [backup-simplify]: Simplify 1 into 1 15.445 * [backup-simplify]: Simplify (/ -1 1) into -1 15.445 * [backup-simplify]: Simplify (* -1 -1) into 1 15.446 * [backup-simplify]: Simplify (+ 0 1) into 1 15.446 * [backup-simplify]: Simplify (sqrt 1) into 1 15.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.448 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.449 * [backup-simplify]: Simplify (+ 0 0) into 0 15.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.450 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.450 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.450 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.450 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.450 * [taylor]: Taking taylor expansion of -1 in re 15.450 * [backup-simplify]: Simplify -1 into -1 15.450 * [taylor]: Taking taylor expansion of re in re 15.450 * [backup-simplify]: Simplify 0 into 0 15.450 * [backup-simplify]: Simplify 1 into 1 15.450 * [backup-simplify]: Simplify (/ -1 1) into -1 15.450 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.450 * [taylor]: Taking taylor expansion of -1 in re 15.450 * [backup-simplify]: Simplify -1 into -1 15.450 * [taylor]: Taking taylor expansion of re in re 15.450 * [backup-simplify]: Simplify 0 into 0 15.451 * [backup-simplify]: Simplify 1 into 1 15.451 * [backup-simplify]: Simplify (/ -1 1) into -1 15.451 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.451 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.451 * [taylor]: Taking taylor expansion of -1 in re 15.451 * [backup-simplify]: Simplify -1 into -1 15.451 * [taylor]: Taking taylor expansion of im in re 15.451 * [backup-simplify]: Simplify im into im 15.451 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.451 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.451 * [taylor]: Taking taylor expansion of -1 in re 15.451 * [backup-simplify]: Simplify -1 into -1 15.451 * [taylor]: Taking taylor expansion of im in re 15.451 * [backup-simplify]: Simplify im into im 15.451 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.452 * [backup-simplify]: Simplify (* -1 -1) into 1 15.452 * [backup-simplify]: Simplify (+ 1 0) into 1 15.452 * [backup-simplify]: Simplify (sqrt 1) into 1 15.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.455 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.455 * [backup-simplify]: Simplify (+ 0 0) into 0 15.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.455 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.455 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.455 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.455 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.455 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.456 * [taylor]: Taking taylor expansion of -1 in re 15.456 * [backup-simplify]: Simplify -1 into -1 15.456 * [taylor]: Taking taylor expansion of re in re 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify 1 into 1 15.456 * [backup-simplify]: Simplify (/ -1 1) into -1 15.456 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.456 * [taylor]: Taking taylor expansion of -1 in re 15.456 * [backup-simplify]: Simplify -1 into -1 15.456 * [taylor]: Taking taylor expansion of re in re 15.456 * [backup-simplify]: Simplify 0 into 0 15.456 * [backup-simplify]: Simplify 1 into 1 15.456 * [backup-simplify]: Simplify (/ -1 1) into -1 15.456 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.456 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.456 * [taylor]: Taking taylor expansion of -1 in re 15.456 * [backup-simplify]: Simplify -1 into -1 15.456 * [taylor]: Taking taylor expansion of im in re 15.456 * [backup-simplify]: Simplify im into im 15.456 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.456 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.456 * [taylor]: Taking taylor expansion of -1 in re 15.456 * [backup-simplify]: Simplify -1 into -1 15.456 * [taylor]: Taking taylor expansion of im in re 15.456 * [backup-simplify]: Simplify im into im 15.456 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.457 * [backup-simplify]: Simplify (* -1 -1) into 1 15.457 * [backup-simplify]: Simplify (+ 1 0) into 1 15.457 * [backup-simplify]: Simplify (sqrt 1) into 1 15.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.459 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.459 * [backup-simplify]: Simplify (+ 0 0) into 0 15.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.459 * [taylor]: Taking taylor expansion of 1 in im 15.459 * [backup-simplify]: Simplify 1 into 1 15.459 * [taylor]: Taking taylor expansion of 0 in im 15.459 * [backup-simplify]: Simplify 0 into 0 15.459 * [backup-simplify]: Simplify 1 into 1 15.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.461 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.461 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.462 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.462 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 15.462 * [taylor]: Taking taylor expansion of 1/2 in im 15.462 * [backup-simplify]: Simplify 1/2 into 1/2 15.462 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.462 * [taylor]: Taking taylor expansion of im in im 15.462 * [backup-simplify]: Simplify 0 into 0 15.462 * [backup-simplify]: Simplify 1 into 1 15.463 * [backup-simplify]: Simplify (* 1 1) into 1 15.463 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.464 * [backup-simplify]: Simplify 0 into 0 15.464 * [backup-simplify]: Simplify 0 into 0 15.464 * [backup-simplify]: Simplify 0 into 0 15.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.466 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.466 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.466 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.466 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.466 * [backup-simplify]: Simplify (+ 0 0) into 0 15.467 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.467 * [taylor]: Taking taylor expansion of 0 in im 15.467 * [backup-simplify]: Simplify 0 into 0 15.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify 0 into 0 15.468 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 15.468 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2 1 1) 15.468 * [backup-simplify]: Simplify (* (cbrt (hypot re im)) (cbrt (hypot re im))) into (pow (pow (hypot re im) 2) 1/3) 15.468 * [approximate]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in (re im) around 0 15.468 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in im 15.468 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in im 15.468 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in im 15.468 * [taylor]: Taking taylor expansion of 1/3 in im 15.468 * [backup-simplify]: Simplify 1/3 into 1/3 15.468 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in im 15.468 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in im 15.468 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.469 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.469 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.469 * [taylor]: Taking taylor expansion of (* re re) in im 15.469 * [taylor]: Taking taylor expansion of re in im 15.469 * [backup-simplify]: Simplify re into re 15.469 * [taylor]: Taking taylor expansion of re in im 15.469 * [backup-simplify]: Simplify re into re 15.469 * [taylor]: Taking taylor expansion of (* im im) in im 15.469 * [taylor]: Taking taylor expansion of im in im 15.469 * [backup-simplify]: Simplify 0 into 0 15.469 * [backup-simplify]: Simplify 1 into 1 15.469 * [taylor]: Taking taylor expansion of im in im 15.469 * [backup-simplify]: Simplify 0 into 0 15.469 * [backup-simplify]: Simplify 1 into 1 15.469 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.469 * [backup-simplify]: Simplify (* 0 0) into 0 15.469 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.469 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.469 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.470 * [backup-simplify]: Simplify (+ 0 0) into 0 15.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.470 * [backup-simplify]: Simplify (log (pow re 2)) into (log (pow re 2)) 15.470 * [backup-simplify]: Simplify (* 1/3 (log (pow re 2))) into (* 1/3 (log (pow re 2))) 15.470 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow re 2)))) into (pow (pow re 2) 1/3) 15.470 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 15.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 15.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 15.470 * [taylor]: Taking taylor expansion of 1/3 in re 15.470 * [backup-simplify]: Simplify 1/3 into 1/3 15.470 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 15.470 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 15.470 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.470 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.470 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.470 * [taylor]: Taking taylor expansion of (* re re) in re 15.470 * [taylor]: Taking taylor expansion of re in re 15.470 * [backup-simplify]: Simplify 0 into 0 15.470 * [backup-simplify]: Simplify 1 into 1 15.470 * [taylor]: Taking taylor expansion of re in re 15.470 * [backup-simplify]: Simplify 0 into 0 15.470 * [backup-simplify]: Simplify 1 into 1 15.470 * [taylor]: Taking taylor expansion of (* im im) in re 15.470 * [taylor]: Taking taylor expansion of im in re 15.470 * [backup-simplify]: Simplify im into im 15.470 * [taylor]: Taking taylor expansion of im in re 15.470 * [backup-simplify]: Simplify im into im 15.471 * [backup-simplify]: Simplify (* 0 0) into 0 15.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.471 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.472 * [backup-simplify]: Simplify (+ 0 0) into 0 15.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.472 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.472 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.472 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.472 * [taylor]: Taking taylor expansion of (pow (pow (hypot re im) 2) 1/3) in re 15.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot re im) 2)))) in re 15.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot re im) 2))) in re 15.472 * [taylor]: Taking taylor expansion of 1/3 in re 15.472 * [backup-simplify]: Simplify 1/3 into 1/3 15.472 * [taylor]: Taking taylor expansion of (log (pow (hypot re im) 2)) in re 15.472 * [taylor]: Taking taylor expansion of (pow (hypot re im) 2) in re 15.472 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.472 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.472 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.472 * [taylor]: Taking taylor expansion of (* re re) in re 15.472 * [taylor]: Taking taylor expansion of re in re 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of re in re 15.472 * [backup-simplify]: Simplify 0 into 0 15.472 * [backup-simplify]: Simplify 1 into 1 15.472 * [taylor]: Taking taylor expansion of (* im im) in re 15.472 * [taylor]: Taking taylor expansion of im in re 15.472 * [backup-simplify]: Simplify im into im 15.472 * [taylor]: Taking taylor expansion of im in re 15.472 * [backup-simplify]: Simplify im into im 15.472 * [backup-simplify]: Simplify (* 0 0) into 0 15.473 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.473 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.473 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.473 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.473 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.473 * [backup-simplify]: Simplify (+ 0 0) into 0 15.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.474 * [backup-simplify]: Simplify (log (pow im 2)) into (log (pow im 2)) 15.474 * [backup-simplify]: Simplify (* 1/3 (log (pow im 2))) into (* 1/3 (log (pow im 2))) 15.474 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow im 2)))) into (pow (pow im 2) 1/3) 15.474 * [taylor]: Taking taylor expansion of (pow (pow im 2) 1/3) in im 15.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow im 2)))) in im 15.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow im 2))) in im 15.474 * [taylor]: Taking taylor expansion of 1/3 in im 15.474 * [backup-simplify]: Simplify 1/3 into 1/3 15.474 * [taylor]: Taking taylor expansion of (log (pow im 2)) in im 15.474 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.474 * [taylor]: Taking taylor expansion of im in im 15.474 * [backup-simplify]: Simplify 0 into 0 15.474 * [backup-simplify]: Simplify 1 into 1 15.474 * [backup-simplify]: Simplify (* 1 1) into 1 15.474 * [backup-simplify]: Simplify (log 1) into 0 15.475 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.475 * [backup-simplify]: Simplify (* 1/3 (* 2 (log im))) into (* 2/3 (log im)) 15.475 * [backup-simplify]: Simplify (exp (* 2/3 (log im))) into (pow im 2/3) 15.475 * [backup-simplify]: Simplify (pow im 2/3) into (pow im 2/3) 15.475 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow im 2) 1)))) 1) into 0 15.476 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow im 2)))) into 0 15.476 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.476 * [taylor]: Taking taylor expansion of 0 in im 15.476 * [backup-simplify]: Simplify 0 into 0 15.476 * [backup-simplify]: Simplify 0 into 0 15.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.478 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.478 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.478 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log im)))) into 0 15.479 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.479 * [backup-simplify]: Simplify 0 into 0 15.479 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.480 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.480 * [backup-simplify]: Simplify (+ 1 0) into 1 15.481 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.481 * [backup-simplify]: Simplify (+ (* im (/ 1/2 im)) (+ (* 0 0) (* (/ 1/2 im) im))) into 1 15.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow im 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow im 2) 1)))) 2) into (/ 1 (pow im 2)) 15.482 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2))))) into (* 1/3 (/ 1 (pow im 2))) 15.483 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.483 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) in im 15.483 * [taylor]: Taking taylor expansion of 1/3 in im 15.483 * [backup-simplify]: Simplify 1/3 into 1/3 15.483 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 4)) 1/3) in im 15.483 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 4))))) in im 15.483 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 4)))) in im 15.483 * [taylor]: Taking taylor expansion of 1/3 in im 15.483 * [backup-simplify]: Simplify 1/3 into 1/3 15.483 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 4))) in im 15.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 4)) in im 15.483 * [taylor]: Taking taylor expansion of (pow im 4) in im 15.483 * [taylor]: Taking taylor expansion of im in im 15.483 * [backup-simplify]: Simplify 0 into 0 15.483 * [backup-simplify]: Simplify 1 into 1 15.483 * [backup-simplify]: Simplify (* 1 1) into 1 15.484 * [backup-simplify]: Simplify (* 1 1) into 1 15.484 * [backup-simplify]: Simplify (/ 1 1) into 1 15.484 * [backup-simplify]: Simplify (log 1) into 0 15.485 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.485 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log im)))) into (* -4/3 (log im)) 15.485 * [backup-simplify]: Simplify (exp (* -4/3 (log im))) into (pow im -4/3) 15.485 * [backup-simplify]: Simplify (* 1/3 (pow im -4/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.485 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) 15.485 * [backup-simplify]: Simplify 0 into 0 15.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.487 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.487 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.488 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log im))))) into 0 15.489 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.489 * [backup-simplify]: Simplify 0 into 0 15.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.490 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.490 * [backup-simplify]: Simplify (+ 0 0) into 0 15.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.491 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 (/ 1/2 im)) (+ (* (/ 1/2 im) 0) (* 0 im)))) into 0 15.492 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow im 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow im 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow im 2) 1)))) 6) into 0 15.493 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (log (pow im 2)))))) into 0 15.494 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow im 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.494 * [taylor]: Taking taylor expansion of 0 in im 15.494 * [backup-simplify]: Simplify 0 into 0 15.494 * [backup-simplify]: Simplify 0 into 0 15.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.497 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.497 * [backup-simplify]: Simplify (+ (* (- 4) (log im)) 0) into (- (* 4 (log im))) 15.497 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log im))))) into 0 15.498 * [backup-simplify]: Simplify (* (exp (* -4/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.498 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow im -4/3))) into 0 15.498 * [backup-simplify]: Simplify 0 into 0 15.498 * [backup-simplify]: Simplify 0 into 0 15.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.502 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.502 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) 0) into (* 2 (log im)) 15.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log im)))))) into 0 15.504 * [backup-simplify]: Simplify (* (exp (* 2/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.504 * [backup-simplify]: Simplify 0 into 0 15.504 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow im 4)) 1/3)) (pow (* 1 re) 2)) (pow im 2/3)) into (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) 15.505 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 re) (/ 1 im))) (cbrt (hypot (/ 1 re) (/ 1 im)))) into (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) 15.505 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in (re im) around 0 15.505 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in im 15.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in im 15.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in im 15.505 * [taylor]: Taking taylor expansion of 1/3 in im 15.505 * [backup-simplify]: Simplify 1/3 into 1/3 15.505 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in im 15.505 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in im 15.505 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.505 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.505 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.505 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.505 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.505 * [taylor]: Taking taylor expansion of re in im 15.505 * [backup-simplify]: Simplify re into re 15.505 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.505 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.505 * [taylor]: Taking taylor expansion of re in im 15.505 * [backup-simplify]: Simplify re into re 15.505 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.505 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.505 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.505 * [taylor]: Taking taylor expansion of im in im 15.505 * [backup-simplify]: Simplify 0 into 0 15.505 * [backup-simplify]: Simplify 1 into 1 15.505 * [backup-simplify]: Simplify (/ 1 1) into 1 15.505 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.505 * [taylor]: Taking taylor expansion of im in im 15.505 * [backup-simplify]: Simplify 0 into 0 15.506 * [backup-simplify]: Simplify 1 into 1 15.506 * [backup-simplify]: Simplify (/ 1 1) into 1 15.506 * [backup-simplify]: Simplify (* 1 1) into 1 15.507 * [backup-simplify]: Simplify (+ 0 1) into 1 15.507 * [backup-simplify]: Simplify (sqrt 1) into 1 15.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.508 * [backup-simplify]: Simplify (+ 0 0) into 0 15.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.509 * [backup-simplify]: Simplify (* 1 1) into 1 15.509 * [backup-simplify]: Simplify (log 1) into 0 15.510 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.510 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.510 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.510 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 15.510 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 15.510 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 15.510 * [taylor]: Taking taylor expansion of 1/3 in re 15.510 * [backup-simplify]: Simplify 1/3 into 1/3 15.510 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 15.510 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 15.510 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.510 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.510 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.510 * [taylor]: Taking taylor expansion of re in re 15.510 * [backup-simplify]: Simplify 0 into 0 15.510 * [backup-simplify]: Simplify 1 into 1 15.510 * [backup-simplify]: Simplify (/ 1 1) into 1 15.510 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.510 * [taylor]: Taking taylor expansion of re in re 15.510 * [backup-simplify]: Simplify 0 into 0 15.510 * [backup-simplify]: Simplify 1 into 1 15.511 * [backup-simplify]: Simplify (/ 1 1) into 1 15.511 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.511 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.511 * [taylor]: Taking taylor expansion of im in re 15.511 * [backup-simplify]: Simplify im into im 15.511 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.511 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.511 * [taylor]: Taking taylor expansion of im in re 15.511 * [backup-simplify]: Simplify im into im 15.511 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.511 * [backup-simplify]: Simplify (* 1 1) into 1 15.511 * [backup-simplify]: Simplify (+ 1 0) into 1 15.512 * [backup-simplify]: Simplify (sqrt 1) into 1 15.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.513 * [backup-simplify]: Simplify (+ 0 0) into 0 15.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.514 * [backup-simplify]: Simplify (* 1 1) into 1 15.514 * [backup-simplify]: Simplify (log 1) into 0 15.515 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.515 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.515 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.515 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ 1 re) (/ 1 im)) 2) 1/3) in re 15.515 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2)))) in re 15.515 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ 1 re) (/ 1 im)) 2))) in re 15.515 * [taylor]: Taking taylor expansion of 1/3 in re 15.515 * [backup-simplify]: Simplify 1/3 into 1/3 15.515 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ 1 re) (/ 1 im)) 2)) in re 15.515 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 2) in re 15.515 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.515 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.515 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.515 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.515 * [taylor]: Taking taylor expansion of re in re 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.515 * [backup-simplify]: Simplify (/ 1 1) into 1 15.515 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.515 * [taylor]: Taking taylor expansion of re in re 15.515 * [backup-simplify]: Simplify 0 into 0 15.515 * [backup-simplify]: Simplify 1 into 1 15.516 * [backup-simplify]: Simplify (/ 1 1) into 1 15.516 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.516 * [taylor]: Taking taylor expansion of im in re 15.516 * [backup-simplify]: Simplify im into im 15.516 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.516 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.516 * [taylor]: Taking taylor expansion of im in re 15.516 * [backup-simplify]: Simplify im into im 15.516 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.516 * [backup-simplify]: Simplify (* 1 1) into 1 15.517 * [backup-simplify]: Simplify (+ 1 0) into 1 15.517 * [backup-simplify]: Simplify (sqrt 1) into 1 15.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.519 * [backup-simplify]: Simplify (+ 0 0) into 0 15.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.521 * [backup-simplify]: Simplify (* 1 1) into 1 15.521 * [backup-simplify]: Simplify (log 1) into 0 15.522 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.522 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.522 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.522 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 15.522 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 15.522 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 15.522 * [taylor]: Taking taylor expansion of -2/3 in im 15.522 * [backup-simplify]: Simplify -2/3 into -2/3 15.522 * [taylor]: Taking taylor expansion of (log re) in im 15.522 * [taylor]: Taking taylor expansion of re in im 15.522 * [backup-simplify]: Simplify re into re 15.522 * [backup-simplify]: Simplify (log re) into (log re) 15.522 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 15.522 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.522 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 15.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.523 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.524 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.524 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.525 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.525 * [taylor]: Taking taylor expansion of 0 in im 15.525 * [backup-simplify]: Simplify 0 into 0 15.525 * [backup-simplify]: Simplify 0 into 0 15.525 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.525 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 15.526 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.526 * [backup-simplify]: Simplify 0 into 0 15.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.528 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.528 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.529 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 15.530 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.530 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.531 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.531 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.531 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 15.531 * [taylor]: Taking taylor expansion of 1/3 in im 15.532 * [backup-simplify]: Simplify 1/3 into 1/3 15.532 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 15.532 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.532 * [taylor]: Taking taylor expansion of 1/3 in im 15.532 * [backup-simplify]: Simplify 1/3 into 1/3 15.532 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.532 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.532 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.532 * [taylor]: Taking taylor expansion of re in im 15.532 * [backup-simplify]: Simplify re into re 15.532 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.532 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.532 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.532 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.532 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.532 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.532 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.532 * [taylor]: Taking taylor expansion of im in im 15.532 * [backup-simplify]: Simplify 0 into 0 15.532 * [backup-simplify]: Simplify 1 into 1 15.532 * [backup-simplify]: Simplify (* 1 1) into 1 15.533 * [backup-simplify]: Simplify (/ 1 1) into 1 15.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.535 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.536 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.536 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.536 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.538 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.538 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.539 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.540 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.540 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 15.540 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 15.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 15.541 * [backup-simplify]: Simplify 0 into 0 15.541 * [backup-simplify]: Simplify 0 into 0 15.542 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.542 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.543 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.543 * [backup-simplify]: Simplify 0 into 0 15.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.545 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.545 * [backup-simplify]: Simplify (+ 0 0) into 0 15.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 15.549 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.549 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.550 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 15.551 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.551 * [taylor]: Taking taylor expansion of 0 in im 15.551 * [backup-simplify]: Simplify 0 into 0 15.551 * [backup-simplify]: Simplify 0 into 0 15.551 * [backup-simplify]: Simplify (pow (/ 1 re) -2/3) into (pow (/ 1 re) -2/3) 15.551 * [backup-simplify]: Simplify (* (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (cbrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) 15.551 * [approximate]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in (re im) around 0 15.551 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in im 15.551 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in im 15.551 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in im 15.551 * [taylor]: Taking taylor expansion of 1/3 in im 15.551 * [backup-simplify]: Simplify 1/3 into 1/3 15.551 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in im 15.551 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in im 15.551 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.552 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.552 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.552 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.552 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.552 * [taylor]: Taking taylor expansion of -1 in im 15.552 * [backup-simplify]: Simplify -1 into -1 15.552 * [taylor]: Taking taylor expansion of re in im 15.552 * [backup-simplify]: Simplify re into re 15.552 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.552 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.552 * [taylor]: Taking taylor expansion of -1 in im 15.552 * [backup-simplify]: Simplify -1 into -1 15.552 * [taylor]: Taking taylor expansion of re in im 15.552 * [backup-simplify]: Simplify re into re 15.552 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.552 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.552 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.552 * [taylor]: Taking taylor expansion of -1 in im 15.552 * [backup-simplify]: Simplify -1 into -1 15.552 * [taylor]: Taking taylor expansion of im in im 15.552 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify 1 into 1 15.552 * [backup-simplify]: Simplify (/ -1 1) into -1 15.552 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.552 * [taylor]: Taking taylor expansion of -1 in im 15.552 * [backup-simplify]: Simplify -1 into -1 15.552 * [taylor]: Taking taylor expansion of im in im 15.552 * [backup-simplify]: Simplify 0 into 0 15.552 * [backup-simplify]: Simplify 1 into 1 15.553 * [backup-simplify]: Simplify (/ -1 1) into -1 15.553 * [backup-simplify]: Simplify (* -1 -1) into 1 15.553 * [backup-simplify]: Simplify (+ 0 1) into 1 15.553 * [backup-simplify]: Simplify (sqrt 1) into 1 15.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.555 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.555 * [backup-simplify]: Simplify (+ 0 0) into 0 15.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.556 * [backup-simplify]: Simplify (* 1 1) into 1 15.556 * [backup-simplify]: Simplify (log 1) into 0 15.556 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) 0) into (- (* 2 (log im))) 15.556 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log im)))) into (* -2/3 (log im)) 15.556 * [backup-simplify]: Simplify (exp (* -2/3 (log im))) into (pow im -2/3) 15.556 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 15.556 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 15.556 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 15.556 * [taylor]: Taking taylor expansion of 1/3 in re 15.556 * [backup-simplify]: Simplify 1/3 into 1/3 15.557 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 15.557 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 15.557 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.557 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.557 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.557 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.557 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.557 * [taylor]: Taking taylor expansion of -1 in re 15.557 * [backup-simplify]: Simplify -1 into -1 15.557 * [taylor]: Taking taylor expansion of re in re 15.557 * [backup-simplify]: Simplify 0 into 0 15.557 * [backup-simplify]: Simplify 1 into 1 15.557 * [backup-simplify]: Simplify (/ -1 1) into -1 15.557 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.557 * [taylor]: Taking taylor expansion of -1 in re 15.557 * [backup-simplify]: Simplify -1 into -1 15.557 * [taylor]: Taking taylor expansion of re in re 15.557 * [backup-simplify]: Simplify 0 into 0 15.557 * [backup-simplify]: Simplify 1 into 1 15.557 * [backup-simplify]: Simplify (/ -1 1) into -1 15.557 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.557 * [taylor]: Taking taylor expansion of -1 in re 15.557 * [backup-simplify]: Simplify -1 into -1 15.557 * [taylor]: Taking taylor expansion of im in re 15.557 * [backup-simplify]: Simplify im into im 15.557 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.557 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.558 * [taylor]: Taking taylor expansion of -1 in re 15.558 * [backup-simplify]: Simplify -1 into -1 15.558 * [taylor]: Taking taylor expansion of im in re 15.558 * [backup-simplify]: Simplify im into im 15.558 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.558 * [backup-simplify]: Simplify (* -1 -1) into 1 15.558 * [backup-simplify]: Simplify (+ 1 0) into 1 15.558 * [backup-simplify]: Simplify (sqrt 1) into 1 15.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.560 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.560 * [backup-simplify]: Simplify (+ 0 0) into 0 15.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.561 * [backup-simplify]: Simplify (* 1 1) into 1 15.561 * [backup-simplify]: Simplify (log 1) into 0 15.561 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.561 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.561 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.561 * [taylor]: Taking taylor expansion of (pow (pow (hypot (/ -1 re) (/ -1 im)) 2) 1/3) in re 15.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2)))) in re 15.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow (hypot (/ -1 re) (/ -1 im)) 2))) in re 15.562 * [taylor]: Taking taylor expansion of 1/3 in re 15.562 * [backup-simplify]: Simplify 1/3 into 1/3 15.562 * [taylor]: Taking taylor expansion of (log (pow (hypot (/ -1 re) (/ -1 im)) 2)) in re 15.562 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 2) in re 15.562 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.562 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.562 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.562 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.562 * [taylor]: Taking taylor expansion of -1 in re 15.562 * [backup-simplify]: Simplify -1 into -1 15.562 * [taylor]: Taking taylor expansion of re in re 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.562 * [backup-simplify]: Simplify (/ -1 1) into -1 15.562 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.562 * [taylor]: Taking taylor expansion of -1 in re 15.562 * [backup-simplify]: Simplify -1 into -1 15.562 * [taylor]: Taking taylor expansion of re in re 15.562 * [backup-simplify]: Simplify 0 into 0 15.562 * [backup-simplify]: Simplify 1 into 1 15.563 * [backup-simplify]: Simplify (/ -1 1) into -1 15.563 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.563 * [taylor]: Taking taylor expansion of -1 in re 15.563 * [backup-simplify]: Simplify -1 into -1 15.563 * [taylor]: Taking taylor expansion of im in re 15.563 * [backup-simplify]: Simplify im into im 15.563 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.563 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.563 * [taylor]: Taking taylor expansion of -1 in re 15.563 * [backup-simplify]: Simplify -1 into -1 15.563 * [taylor]: Taking taylor expansion of im in re 15.563 * [backup-simplify]: Simplify im into im 15.563 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.563 * [backup-simplify]: Simplify (* -1 -1) into 1 15.564 * [backup-simplify]: Simplify (+ 1 0) into 1 15.564 * [backup-simplify]: Simplify (sqrt 1) into 1 15.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.566 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.567 * [backup-simplify]: Simplify (+ 0 0) into 0 15.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.568 * [backup-simplify]: Simplify (* 1 1) into 1 15.568 * [backup-simplify]: Simplify (log 1) into 0 15.569 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.569 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log re)))) into (* -2/3 (log re)) 15.569 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.569 * [taylor]: Taking taylor expansion of (pow re -2/3) in im 15.569 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log re))) in im 15.569 * [taylor]: Taking taylor expansion of (* -2/3 (log re)) in im 15.569 * [taylor]: Taking taylor expansion of -2/3 in im 15.569 * [backup-simplify]: Simplify -2/3 into -2/3 15.569 * [taylor]: Taking taylor expansion of (log re) in im 15.569 * [taylor]: Taking taylor expansion of re in im 15.569 * [backup-simplify]: Simplify re into re 15.569 * [backup-simplify]: Simplify (log re) into (log re) 15.569 * [backup-simplify]: Simplify (* -2/3 (log re)) into (* -2/3 (log re)) 15.569 * [backup-simplify]: Simplify (exp (* -2/3 (log re))) into (pow re -2/3) 15.569 * [backup-simplify]: Simplify (pow re -2/3) into (pow re -2/3) 15.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.571 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.572 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.572 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log re))))) into 0 15.573 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.573 * [taylor]: Taking taylor expansion of 0 in im 15.573 * [backup-simplify]: Simplify 0 into 0 15.573 * [backup-simplify]: Simplify 0 into 0 15.574 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.575 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log re))) into 0 15.575 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.575 * [backup-simplify]: Simplify 0 into 0 15.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.578 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.579 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.579 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.580 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.580 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow im 2))) (+ (* 0 0) (* (/ 1/2 (pow im 2)) 1))) into (/ 1 (pow im 2)) 15.582 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow im 2)) 15.583 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.583 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re)))))) into (* 1/3 (/ 1 (pow im 2))) 15.584 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) 15.584 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2)))) in im 15.584 * [taylor]: Taking taylor expansion of 1/3 in im 15.584 * [backup-simplify]: Simplify 1/3 into 1/3 15.584 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow re 2)) 1/3) (/ 1 (pow im 2))) in im 15.584 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow re 2)) 1/3) in im 15.584 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow re 2))))) in im 15.584 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow re 2)))) in im 15.584 * [taylor]: Taking taylor expansion of 1/3 in im 15.584 * [backup-simplify]: Simplify 1/3 into 1/3 15.585 * [taylor]: Taking taylor expansion of (log (/ 1 (pow re 2))) in im 15.585 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 15.585 * [taylor]: Taking taylor expansion of (pow re 2) in im 15.585 * [taylor]: Taking taylor expansion of re in im 15.585 * [backup-simplify]: Simplify re into re 15.585 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.585 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 15.585 * [backup-simplify]: Simplify (log (/ 1 (pow re 2))) into (log (/ 1 (pow re 2))) 15.585 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow re 2)))) into (* 1/3 (log (/ 1 (pow re 2)))) 15.585 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow re 2))))) into (pow (/ 1 (pow re 2)) 1/3) 15.585 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.585 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.585 * [taylor]: Taking taylor expansion of im in im 15.585 * [backup-simplify]: Simplify 0 into 0 15.585 * [backup-simplify]: Simplify 1 into 1 15.586 * [backup-simplify]: Simplify (* 1 1) into 1 15.586 * [backup-simplify]: Simplify (/ 1 1) into 1 15.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.589 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 15.590 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 1) into 0 15.591 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow re 2))))) into 0 15.592 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 15.592 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 15.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))) (* 0 (/ 0 (pow re 2))))) into 0 15.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow re 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow re 2)) 1)))) 2) into 0 15.595 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow re 2)))))) into 0 15.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow re 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.598 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.598 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow re 2)) 1/3) 0) (* 0 1)) into 0 15.599 * [backup-simplify]: Simplify (* (pow (/ 1 (pow re 2)) 1/3) 1) into (pow (/ 1 (pow re 2)) 1/3) 15.600 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow re 2)) 1/3)))) into 0 15.600 * [backup-simplify]: Simplify 0 into 0 15.600 * [backup-simplify]: Simplify 0 into 0 15.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.602 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.604 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.604 * [backup-simplify]: Simplify 0 into 0 15.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.607 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.607 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.607 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.608 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.608 * [backup-simplify]: Simplify (+ 0 0) into 0 15.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* (/ 1/2 (pow im 2)) 0) (* 0 1)))) into 0 15.613 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.613 * [backup-simplify]: Simplify (+ (* (- 2) (log re)) 0) into (- (* 2 (log re))) 15.614 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow im 2))) (+ (* 0 0) (* 0 (- (* 2 (log re))))))) into 0 15.617 * [backup-simplify]: Simplify (* (exp (* -2/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.617 * [taylor]: Taking taylor expansion of 0 in im 15.617 * [backup-simplify]: Simplify 0 into 0 15.617 * [backup-simplify]: Simplify 0 into 0 15.617 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -2/3) into (pow (/ -1 re) -2/3) 15.617 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 1 2) 15.617 * [backup-simplify]: Simplify (cbrt (hypot re im)) into (pow (hypot re im) 1/3) 15.617 * [approximate]: Taking taylor expansion of (pow (hypot re im) 1/3) in (re im) around 0 15.617 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in im 15.617 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in im 15.617 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in im 15.617 * [taylor]: Taking taylor expansion of 1/3 in im 15.617 * [backup-simplify]: Simplify 1/3 into 1/3 15.617 * [taylor]: Taking taylor expansion of (log (hypot re im)) in im 15.617 * [taylor]: Taking taylor expansion of (hypot re im) in im 15.617 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.617 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 15.617 * [taylor]: Taking taylor expansion of (* re re) in im 15.617 * [taylor]: Taking taylor expansion of re in im 15.617 * [backup-simplify]: Simplify re into re 15.617 * [taylor]: Taking taylor expansion of re in im 15.617 * [backup-simplify]: Simplify re into re 15.617 * [taylor]: Taking taylor expansion of (* im im) in im 15.617 * [taylor]: Taking taylor expansion of im in im 15.617 * [backup-simplify]: Simplify 0 into 0 15.618 * [backup-simplify]: Simplify 1 into 1 15.618 * [taylor]: Taking taylor expansion of im in im 15.618 * [backup-simplify]: Simplify 0 into 0 15.618 * [backup-simplify]: Simplify 1 into 1 15.618 * [backup-simplify]: Simplify (* re re) into (pow re 2) 15.618 * [backup-simplify]: Simplify (* 0 0) into 0 15.618 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 15.618 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 15.618 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 15.619 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.619 * [backup-simplify]: Simplify (+ 0 0) into 0 15.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 15.620 * [backup-simplify]: Simplify (log re) into (log re) 15.620 * [backup-simplify]: Simplify (* 1/3 (log re)) into (* 1/3 (log re)) 15.620 * [backup-simplify]: Simplify (exp (* 1/3 (log re))) into (pow re 1/3) 15.620 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 15.620 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 15.620 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 15.620 * [taylor]: Taking taylor expansion of 1/3 in re 15.620 * [backup-simplify]: Simplify 1/3 into 1/3 15.620 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 15.620 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.620 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.620 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.620 * [taylor]: Taking taylor expansion of (* re re) in re 15.620 * [taylor]: Taking taylor expansion of re in re 15.620 * [backup-simplify]: Simplify 0 into 0 15.620 * [backup-simplify]: Simplify 1 into 1 15.620 * [taylor]: Taking taylor expansion of re in re 15.620 * [backup-simplify]: Simplify 0 into 0 15.620 * [backup-simplify]: Simplify 1 into 1 15.620 * [taylor]: Taking taylor expansion of (* im im) in re 15.620 * [taylor]: Taking taylor expansion of im in re 15.620 * [backup-simplify]: Simplify im into im 15.620 * [taylor]: Taking taylor expansion of im in re 15.620 * [backup-simplify]: Simplify im into im 15.621 * [backup-simplify]: Simplify (* 0 0) into 0 15.621 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.621 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.621 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.622 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.622 * [backup-simplify]: Simplify (+ 0 0) into 0 15.622 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.622 * [backup-simplify]: Simplify (log im) into (log im) 15.622 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 15.622 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 15.622 * [taylor]: Taking taylor expansion of (pow (hypot re im) 1/3) in re 15.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot re im)))) in re 15.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot re im))) in re 15.622 * [taylor]: Taking taylor expansion of 1/3 in re 15.622 * [backup-simplify]: Simplify 1/3 into 1/3 15.622 * [taylor]: Taking taylor expansion of (log (hypot re im)) in re 15.623 * [taylor]: Taking taylor expansion of (hypot re im) in re 15.623 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 15.623 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 15.623 * [taylor]: Taking taylor expansion of (* re re) in re 15.623 * [taylor]: Taking taylor expansion of re in re 15.623 * [backup-simplify]: Simplify 0 into 0 15.623 * [backup-simplify]: Simplify 1 into 1 15.623 * [taylor]: Taking taylor expansion of re in re 15.623 * [backup-simplify]: Simplify 0 into 0 15.623 * [backup-simplify]: Simplify 1 into 1 15.623 * [taylor]: Taking taylor expansion of (* im im) in re 15.623 * [taylor]: Taking taylor expansion of im in re 15.623 * [backup-simplify]: Simplify im into im 15.623 * [taylor]: Taking taylor expansion of im in re 15.623 * [backup-simplify]: Simplify im into im 15.623 * [backup-simplify]: Simplify (* 0 0) into 0 15.623 * [backup-simplify]: Simplify (* im im) into (pow im 2) 15.623 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 15.623 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 15.624 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 15.624 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 15.625 * [backup-simplify]: Simplify (+ 0 0) into 0 15.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 15.625 * [backup-simplify]: Simplify (log im) into (log im) 15.625 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 15.625 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 15.625 * [taylor]: Taking taylor expansion of (pow im 1/3) in im 15.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log im))) in im 15.625 * [taylor]: Taking taylor expansion of (* 1/3 (log im)) in im 15.625 * [taylor]: Taking taylor expansion of 1/3 in im 15.625 * [backup-simplify]: Simplify 1/3 into 1/3 15.625 * [taylor]: Taking taylor expansion of (log im) in im 15.625 * [taylor]: Taking taylor expansion of im in im 15.625 * [backup-simplify]: Simplify 0 into 0 15.625 * [backup-simplify]: Simplify 1 into 1 15.626 * [backup-simplify]: Simplify (log 1) into 0 15.626 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.626 * [backup-simplify]: Simplify (* 1/3 (log im)) into (* 1/3 (log im)) 15.626 * [backup-simplify]: Simplify (exp (* 1/3 (log im))) into (pow im 1/3) 15.626 * [backup-simplify]: Simplify (pow im 1/3) into (pow im 1/3) 15.627 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow im 1)))) 1) into 0 15.627 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 15.628 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.628 * [taylor]: Taking taylor expansion of 0 in im 15.628 * [backup-simplify]: Simplify 0 into 0 15.628 * [backup-simplify]: Simplify 0 into 0 15.630 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.630 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log im))) into 0 15.631 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.631 * [backup-simplify]: Simplify 0 into 0 15.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 15.633 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 15.633 * [backup-simplify]: Simplify (+ 1 0) into 1 15.634 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 15.635 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow im 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 im)) 1)) (pow im 1)))) 2) into (/ 1/2 (pow im 2)) 15.636 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im)))) into (* 1/6 (/ 1 (pow im 2))) 15.637 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 15.637 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) in im 15.637 * [taylor]: Taking taylor expansion of 1/6 in im 15.637 * [backup-simplify]: Simplify 1/6 into 1/6 15.637 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow im 5)) 1/3) in im 15.637 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow im 5))))) in im 15.637 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow im 5)))) in im 15.637 * [taylor]: Taking taylor expansion of 1/3 in im 15.637 * [backup-simplify]: Simplify 1/3 into 1/3 15.637 * [taylor]: Taking taylor expansion of (log (/ 1 (pow im 5))) in im 15.637 * [taylor]: Taking taylor expansion of (/ 1 (pow im 5)) in im 15.637 * [taylor]: Taking taylor expansion of (pow im 5) in im 15.637 * [taylor]: Taking taylor expansion of im in im 15.637 * [backup-simplify]: Simplify 0 into 0 15.637 * [backup-simplify]: Simplify 1 into 1 15.637 * [backup-simplify]: Simplify (* 1 1) into 1 15.638 * [backup-simplify]: Simplify (* 1 1) into 1 15.640 * [backup-simplify]: Simplify (* 1 1) into 1 15.641 * [backup-simplify]: Simplify (/ 1 1) into 1 15.641 * [backup-simplify]: Simplify (log 1) into 0 15.642 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 15.642 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log im)))) into (* -5/3 (log im)) 15.642 * [backup-simplify]: Simplify (exp (* -5/3 (log im))) into (pow im -5/3) 15.642 * [backup-simplify]: Simplify (* 1/6 (pow im -5/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 15.642 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) 15.642 * [backup-simplify]: Simplify 0 into 0 15.645 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 15.646 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log im)))) into 0 15.648 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.648 * [backup-simplify]: Simplify 0 into 0 15.649 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 15.650 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 15.650 * [backup-simplify]: Simplify (+ 0 0) into 0 15.651 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 15.653 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow im 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 im)) 1)) (pow im 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow im 1)))) 6) into 0 15.654 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (log im))))) into 0 15.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.656 * [taylor]: Taking taylor expansion of 0 in im 15.656 * [backup-simplify]: Simplify 0 into 0 15.656 * [backup-simplify]: Simplify 0 into 0 15.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.661 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.661 * [backup-simplify]: Simplify (+ (* (- 5) (log im)) 0) into (- (* 5 (log im))) 15.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 5 (log im))))) into 0 15.663 * [backup-simplify]: Simplify (* (exp (* -5/3 (log im))) (+ (* (/ (pow 0 1) 1)))) into 0 15.663 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (pow im -5/3))) into 0 15.663 * [backup-simplify]: Simplify 0 into 0 15.663 * [backup-simplify]: Simplify 0 into 0 15.669 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.670 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) 0) into (log im) 15.671 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log im))))) into 0 15.673 * [backup-simplify]: Simplify (* (exp (* 1/3 (log im))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.673 * [backup-simplify]: Simplify 0 into 0 15.673 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow im 5)) 1/3)) (pow (* 1 re) 2)) (pow im 1/3)) into (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) 15.673 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 re) (/ 1 im))) into (pow (hypot (/ 1 re) (/ 1 im)) 1/3) 15.673 * [approximate]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in (re im) around 0 15.673 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in im 15.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in im 15.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in im 15.673 * [taylor]: Taking taylor expansion of 1/3 in im 15.674 * [backup-simplify]: Simplify 1/3 into 1/3 15.674 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in im 15.674 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 15.674 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.674 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 15.674 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 15.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.674 * [taylor]: Taking taylor expansion of re in im 15.674 * [backup-simplify]: Simplify re into re 15.674 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.674 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.674 * [taylor]: Taking taylor expansion of re in im 15.674 * [backup-simplify]: Simplify re into re 15.674 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.674 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 15.674 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.674 * [taylor]: Taking taylor expansion of im in im 15.674 * [backup-simplify]: Simplify 0 into 0 15.674 * [backup-simplify]: Simplify 1 into 1 15.675 * [backup-simplify]: Simplify (/ 1 1) into 1 15.675 * [taylor]: Taking taylor expansion of (/ 1 im) in im 15.675 * [taylor]: Taking taylor expansion of im in im 15.675 * [backup-simplify]: Simplify 0 into 0 15.675 * [backup-simplify]: Simplify 1 into 1 15.675 * [backup-simplify]: Simplify (/ 1 1) into 1 15.675 * [backup-simplify]: Simplify (* 1 1) into 1 15.675 * [backup-simplify]: Simplify (+ 0 1) into 1 15.676 * [backup-simplify]: Simplify (sqrt 1) into 1 15.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.678 * [backup-simplify]: Simplify (+ 0 0) into 0 15.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.679 * [backup-simplify]: Simplify (log 1) into 0 15.679 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 15.679 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 15.679 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 15.679 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 15.679 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 15.679 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 15.679 * [taylor]: Taking taylor expansion of 1/3 in re 15.679 * [backup-simplify]: Simplify 1/3 into 1/3 15.679 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 15.679 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.679 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.679 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.679 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.679 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.679 * [taylor]: Taking taylor expansion of re in re 15.679 * [backup-simplify]: Simplify 0 into 0 15.679 * [backup-simplify]: Simplify 1 into 1 15.680 * [backup-simplify]: Simplify (/ 1 1) into 1 15.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.680 * [taylor]: Taking taylor expansion of re in re 15.680 * [backup-simplify]: Simplify 0 into 0 15.680 * [backup-simplify]: Simplify 1 into 1 15.680 * [backup-simplify]: Simplify (/ 1 1) into 1 15.680 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.680 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.680 * [taylor]: Taking taylor expansion of im in re 15.680 * [backup-simplify]: Simplify im into im 15.680 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.680 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.680 * [taylor]: Taking taylor expansion of im in re 15.680 * [backup-simplify]: Simplify im into im 15.680 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.680 * [backup-simplify]: Simplify (* 1 1) into 1 15.681 * [backup-simplify]: Simplify (+ 1 0) into 1 15.681 * [backup-simplify]: Simplify (sqrt 1) into 1 15.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.683 * [backup-simplify]: Simplify (+ 0 0) into 0 15.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.683 * [backup-simplify]: Simplify (log 1) into 0 15.684 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.684 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 15.684 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 15.684 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 re) (/ 1 im)) 1/3) in re 15.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ 1 re) (/ 1 im))))) in re 15.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ 1 re) (/ 1 im)))) in re 15.684 * [taylor]: Taking taylor expansion of 1/3 in re 15.684 * [backup-simplify]: Simplify 1/3 into 1/3 15.684 * [taylor]: Taking taylor expansion of (log (hypot (/ 1 re) (/ 1 im))) in re 15.684 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 15.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 15.684 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 15.684 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 15.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.684 * [taylor]: Taking taylor expansion of re in re 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 1 into 1 15.684 * [backup-simplify]: Simplify (/ 1 1) into 1 15.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 15.684 * [taylor]: Taking taylor expansion of re in re 15.684 * [backup-simplify]: Simplify 0 into 0 15.684 * [backup-simplify]: Simplify 1 into 1 15.684 * [backup-simplify]: Simplify (/ 1 1) into 1 15.684 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 15.685 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.685 * [taylor]: Taking taylor expansion of im in re 15.685 * [backup-simplify]: Simplify im into im 15.685 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.685 * [taylor]: Taking taylor expansion of (/ 1 im) in re 15.685 * [taylor]: Taking taylor expansion of im in re 15.685 * [backup-simplify]: Simplify im into im 15.685 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 15.685 * [backup-simplify]: Simplify (* 1 1) into 1 15.685 * [backup-simplify]: Simplify (+ 1 0) into 1 15.685 * [backup-simplify]: Simplify (sqrt 1) into 1 15.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.687 * [backup-simplify]: Simplify (+ 0 0) into 0 15.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.688 * [backup-simplify]: Simplify (log 1) into 0 15.688 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.688 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 15.688 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 15.688 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 15.688 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 15.688 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 15.688 * [taylor]: Taking taylor expansion of -1/3 in im 15.688 * [backup-simplify]: Simplify -1/3 into -1/3 15.688 * [taylor]: Taking taylor expansion of (log re) in im 15.688 * [taylor]: Taking taylor expansion of re in im 15.688 * [backup-simplify]: Simplify re into re 15.688 * [backup-simplify]: Simplify (log re) into (log re) 15.688 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 15.688 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 15.688 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 15.689 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.690 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.690 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 15.690 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.690 * [taylor]: Taking taylor expansion of 0 in im 15.690 * [backup-simplify]: Simplify 0 into 0 15.690 * [backup-simplify]: Simplify 0 into 0 15.691 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.691 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 15.692 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.692 * [backup-simplify]: Simplify 0 into 0 15.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.694 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 15.694 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.695 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.696 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 15.696 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.696 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 15.697 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 15.697 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 15.697 * [taylor]: Taking taylor expansion of 1/6 in im 15.697 * [backup-simplify]: Simplify 1/6 into 1/6 15.697 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 15.697 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 15.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 15.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 15.697 * [taylor]: Taking taylor expansion of 1/3 in im 15.697 * [backup-simplify]: Simplify 1/3 into 1/3 15.697 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 15.697 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.697 * [taylor]: Taking taylor expansion of re in im 15.697 * [backup-simplify]: Simplify re into re 15.697 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.697 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 15.697 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 15.697 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 15.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.697 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.697 * [taylor]: Taking taylor expansion of im in im 15.697 * [backup-simplify]: Simplify 0 into 0 15.697 * [backup-simplify]: Simplify 1 into 1 15.698 * [backup-simplify]: Simplify (* 1 1) into 1 15.698 * [backup-simplify]: Simplify (/ 1 1) into 1 15.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 15.700 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 15.701 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 15.701 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 15.702 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 15.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 15.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.704 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.705 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 15.705 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 15.705 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 15.705 * [backup-simplify]: Simplify 0 into 0 15.705 * [backup-simplify]: Simplify 0 into 0 15.706 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.707 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.708 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.708 * [backup-simplify]: Simplify 0 into 0 15.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 15.710 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 15.710 * [backup-simplify]: Simplify (+ 0 0) into 0 15.711 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.714 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.715 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.716 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 15.718 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.718 * [taylor]: Taking taylor expansion of 0 in im 15.718 * [backup-simplify]: Simplify 0 into 0 15.718 * [backup-simplify]: Simplify 0 into 0 15.718 * [backup-simplify]: Simplify (pow (/ 1 re) -1/3) into (pow (/ 1 re) -1/3) 15.718 * [backup-simplify]: Simplify (cbrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (pow (hypot (/ -1 re) (/ -1 im)) 1/3) 15.718 * [approximate]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in (re im) around 0 15.718 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in im 15.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in im 15.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in im 15.718 * [taylor]: Taking taylor expansion of 1/3 in im 15.718 * [backup-simplify]: Simplify 1/3 into 1/3 15.718 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in im 15.718 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 15.718 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.718 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 15.718 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 15.718 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.718 * [taylor]: Taking taylor expansion of -1 in im 15.718 * [backup-simplify]: Simplify -1 into -1 15.719 * [taylor]: Taking taylor expansion of re in im 15.719 * [backup-simplify]: Simplify re into re 15.719 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.719 * [taylor]: Taking taylor expansion of (/ -1 re) in im 15.719 * [taylor]: Taking taylor expansion of -1 in im 15.719 * [backup-simplify]: Simplify -1 into -1 15.719 * [taylor]: Taking taylor expansion of re in im 15.719 * [backup-simplify]: Simplify re into re 15.719 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 15.719 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 15.719 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.719 * [taylor]: Taking taylor expansion of -1 in im 15.719 * [backup-simplify]: Simplify -1 into -1 15.719 * [taylor]: Taking taylor expansion of im in im 15.719 * [backup-simplify]: Simplify 0 into 0 15.719 * [backup-simplify]: Simplify 1 into 1 15.719 * [backup-simplify]: Simplify (/ -1 1) into -1 15.719 * [taylor]: Taking taylor expansion of (/ -1 im) in im 15.719 * [taylor]: Taking taylor expansion of -1 in im 15.719 * [backup-simplify]: Simplify -1 into -1 15.719 * [taylor]: Taking taylor expansion of im in im 15.719 * [backup-simplify]: Simplify 0 into 0 15.720 * [backup-simplify]: Simplify 1 into 1 15.720 * [backup-simplify]: Simplify (/ -1 1) into -1 15.720 * [backup-simplify]: Simplify (* -1 -1) into 1 15.721 * [backup-simplify]: Simplify (+ 0 1) into 1 15.721 * [backup-simplify]: Simplify (sqrt 1) into 1 15.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.724 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.724 * [backup-simplify]: Simplify (+ 0 0) into 0 15.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.725 * [backup-simplify]: Simplify (log 1) into 0 15.726 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) 0) into (- (log im)) 15.726 * [backup-simplify]: Simplify (* 1/3 (- (log im))) into (* -1/3 (log im)) 15.726 * [backup-simplify]: Simplify (exp (* -1/3 (log im))) into (pow im -1/3) 15.726 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 15.726 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 15.726 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 15.726 * [taylor]: Taking taylor expansion of 1/3 in re 15.726 * [backup-simplify]: Simplify 1/3 into 1/3 15.726 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 15.726 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.726 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.726 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.726 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.726 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.726 * [taylor]: Taking taylor expansion of -1 in re 15.726 * [backup-simplify]: Simplify -1 into -1 15.726 * [taylor]: Taking taylor expansion of re in re 15.726 * [backup-simplify]: Simplify 0 into 0 15.726 * [backup-simplify]: Simplify 1 into 1 15.727 * [backup-simplify]: Simplify (/ -1 1) into -1 15.727 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.727 * [taylor]: Taking taylor expansion of -1 in re 15.727 * [backup-simplify]: Simplify -1 into -1 15.727 * [taylor]: Taking taylor expansion of re in re 15.727 * [backup-simplify]: Simplify 0 into 0 15.727 * [backup-simplify]: Simplify 1 into 1 15.727 * [backup-simplify]: Simplify (/ -1 1) into -1 15.727 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.727 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.727 * [taylor]: Taking taylor expansion of -1 in re 15.728 * [backup-simplify]: Simplify -1 into -1 15.728 * [taylor]: Taking taylor expansion of im in re 15.728 * [backup-simplify]: Simplify im into im 15.728 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.728 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.728 * [taylor]: Taking taylor expansion of -1 in re 15.728 * [backup-simplify]: Simplify -1 into -1 15.728 * [taylor]: Taking taylor expansion of im in re 15.728 * [backup-simplify]: Simplify im into im 15.728 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.728 * [backup-simplify]: Simplify (* -1 -1) into 1 15.729 * [backup-simplify]: Simplify (+ 1 0) into 1 15.729 * [backup-simplify]: Simplify (sqrt 1) into 1 15.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.732 * [backup-simplify]: Simplify (+ 0 0) into 0 15.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.733 * [backup-simplify]: Simplify (log 1) into 0 15.733 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.733 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 15.733 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 15.733 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 re) (/ -1 im)) 1/3) in re 15.733 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (hypot (/ -1 re) (/ -1 im))))) in re 15.733 * [taylor]: Taking taylor expansion of (* 1/3 (log (hypot (/ -1 re) (/ -1 im)))) in re 15.734 * [taylor]: Taking taylor expansion of 1/3 in re 15.734 * [backup-simplify]: Simplify 1/3 into 1/3 15.734 * [taylor]: Taking taylor expansion of (log (hypot (/ -1 re) (/ -1 im))) in re 15.734 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 15.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 15.734 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 15.734 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 15.734 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.734 * [taylor]: Taking taylor expansion of -1 in re 15.734 * [backup-simplify]: Simplify -1 into -1 15.734 * [taylor]: Taking taylor expansion of re in re 15.734 * [backup-simplify]: Simplify 0 into 0 15.734 * [backup-simplify]: Simplify 1 into 1 15.734 * [backup-simplify]: Simplify (/ -1 1) into -1 15.734 * [taylor]: Taking taylor expansion of (/ -1 re) in re 15.734 * [taylor]: Taking taylor expansion of -1 in re 15.734 * [backup-simplify]: Simplify -1 into -1 15.734 * [taylor]: Taking taylor expansion of re in re 15.734 * [backup-simplify]: Simplify 0 into 0 15.734 * [backup-simplify]: Simplify 1 into 1 15.735 * [backup-simplify]: Simplify (/ -1 1) into -1 15.735 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 15.735 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.735 * [taylor]: Taking taylor expansion of -1 in re 15.735 * [backup-simplify]: Simplify -1 into -1 15.735 * [taylor]: Taking taylor expansion of im in re 15.735 * [backup-simplify]: Simplify im into im 15.735 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.735 * [taylor]: Taking taylor expansion of (/ -1 im) in re 15.735 * [taylor]: Taking taylor expansion of -1 in re 15.735 * [backup-simplify]: Simplify -1 into -1 15.735 * [taylor]: Taking taylor expansion of im in re 15.735 * [backup-simplify]: Simplify im into im 15.735 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 15.736 * [backup-simplify]: Simplify (* -1 -1) into 1 15.736 * [backup-simplify]: Simplify (+ 1 0) into 1 15.736 * [backup-simplify]: Simplify (sqrt 1) into 1 15.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 15.739 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 15.739 * [backup-simplify]: Simplify (+ 0 0) into 0 15.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 15.740 * [backup-simplify]: Simplify (log 1) into 0 15.741 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.741 * [backup-simplify]: Simplify (* 1/3 (- (log re))) into (* -1/3 (log re)) 15.741 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 15.741 * [taylor]: Taking taylor expansion of (pow re -1/3) in im 15.741 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log re))) in im 15.741 * [taylor]: Taking taylor expansion of (* -1/3 (log re)) in im 15.741 * [taylor]: Taking taylor expansion of -1/3 in im 15.741 * [backup-simplify]: Simplify -1/3 into -1/3 15.741 * [taylor]: Taking taylor expansion of (log re) in im 15.741 * [taylor]: Taking taylor expansion of re in im 15.741 * [backup-simplify]: Simplify re into re 15.741 * [backup-simplify]: Simplify (log re) into (log re) 15.741 * [backup-simplify]: Simplify (* -1/3 (log re)) into (* -1/3 (log re)) 15.741 * [backup-simplify]: Simplify (exp (* -1/3 (log re))) into (pow re -1/3) 15.741 * [backup-simplify]: Simplify (pow re -1/3) into (pow re -1/3) 15.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 15.743 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log re)))) into 0 15.745 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.745 * [taylor]: Taking taylor expansion of 0 in im 15.745 * [backup-simplify]: Simplify 0 into 0 15.745 * [backup-simplify]: Simplify 0 into 0 15.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 15.746 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log re))) into 0 15.747 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 1) 1)))) into 0 15.747 * [backup-simplify]: Simplify 0 into 0 15.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.750 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 15.750 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 15.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 15.751 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 15.753 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 1)))) 2) into (/ 1/2 (pow im 2)) 15.754 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.754 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re))))) into (* 1/6 (/ 1 (pow im 2))) 15.755 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)))) into (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) 15.755 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2)))) in im 15.755 * [taylor]: Taking taylor expansion of 1/6 in im 15.755 * [backup-simplify]: Simplify 1/6 into 1/6 15.755 * [taylor]: Taking taylor expansion of (* (pow (/ 1 re) 1/3) (/ 1 (pow im 2))) in im 15.755 * [taylor]: Taking taylor expansion of (pow (/ 1 re) 1/3) in im 15.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 re)))) in im 15.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 re))) in im 15.755 * [taylor]: Taking taylor expansion of 1/3 in im 15.755 * [backup-simplify]: Simplify 1/3 into 1/3 15.755 * [taylor]: Taking taylor expansion of (log (/ 1 re)) in im 15.755 * [taylor]: Taking taylor expansion of (/ 1 re) in im 15.755 * [taylor]: Taking taylor expansion of re in im 15.755 * [backup-simplify]: Simplify re into re 15.755 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 15.756 * [backup-simplify]: Simplify (log (/ 1 re)) into (log (/ 1 re)) 15.756 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 re))) into (* 1/3 (log (/ 1 re))) 15.756 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 re)))) into (pow (/ 1 re) 1/3) 15.756 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 15.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 15.756 * [taylor]: Taking taylor expansion of im in im 15.756 * [backup-simplify]: Simplify 0 into 0 15.756 * [backup-simplify]: Simplify 1 into 1 15.756 * [backup-simplify]: Simplify (* 1 1) into 1 15.757 * [backup-simplify]: Simplify (/ 1 1) into 1 15.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 15.762 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 re) 1)))) 1) into 0 15.762 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 re)))) into 0 15.763 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 1) 1)))) into 0 15.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 15.767 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 re) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 re) 1)))) 2) into 0 15.768 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 re))))) into 0 15.770 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.770 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0 15.771 * [backup-simplify]: Simplify (+ (* (pow (/ 1 re) 1/3) 0) (* 0 1)) into 0 15.771 * [backup-simplify]: Simplify (* (pow (/ 1 re) 1/3) 1) into (pow (/ 1 re) 1/3) 15.772 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 re) 1/3)))) into 0 15.772 * [backup-simplify]: Simplify 0 into 0 15.772 * [backup-simplify]: Simplify 0 into 0 15.774 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 15.775 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log re)))) into 0 15.776 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 15.776 * [backup-simplify]: Simplify 0 into 0 15.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.779 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 15.779 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.779 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 15.780 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 15.780 * [backup-simplify]: Simplify (+ 0 0) into 0 15.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 15.784 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (pow im 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 15.785 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) 0) into (- (log re)) 15.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow im 2))) (+ (* 0 0) (* 0 (- (log re)))))) into 0 15.788 * [backup-simplify]: Simplify (* (exp (* -1/3 (log re))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 15.788 * [taylor]: Taking taylor expansion of 0 in im 15.788 * [backup-simplify]: Simplify 0 into 0 15.788 * [backup-simplify]: Simplify 0 into 0 15.788 * [backup-simplify]: Simplify (pow (/ 1 (- re)) -1/3) into (pow (/ -1 re) -1/3) 15.788 * * * [progress]: simplifying candidates 15.788 * * * * [progress]: [ 1 / 120 ] simplifiying candidate # 15.788 * * * * [progress]: [ 2 / 120 ] simplifiying candidate # 15.788 * * * * [progress]: [ 3 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 4 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 5 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 6 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 7 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 8 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 9 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 10 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 11 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 12 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 13 / 120 ] simplifiying candidate # 15.789 * * * * [progress]: [ 14 / 120 ] simplifiying candidate #real (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))) 2.0))))> 15.789 * * * * [progress]: [ 15 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 16 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 17 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 18 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 19 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 20 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 21 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 22 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 23 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 24 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 25 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 26 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 27 / 120 ] simplifiying candidate # 15.790 * * * * [progress]: [ 28 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 29 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 30 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 31 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 32 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 33 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 34 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 35 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 36 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 37 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 38 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 39 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 40 / 120 ] simplifiying candidate # 15.791 * * * * [progress]: [ 41 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 42 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 43 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 44 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 45 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 46 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 47 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 48 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 49 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 50 / 120 ] simplifiying candidate #real (real->posit16 (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))) re) 2.0))))> 15.792 * * * * [progress]: [ 51 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 52 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 53 / 120 ] simplifiying candidate # 15.792 * * * * [progress]: [ 54 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 55 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 56 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 57 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 58 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 59 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 60 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 61 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 62 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 63 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 64 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 65 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 66 / 120 ] simplifiying candidate # 15.793 * * * * [progress]: [ 67 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 68 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 69 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 70 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 71 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 72 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 73 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 74 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 75 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 76 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 77 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 78 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 79 / 120 ] simplifiying candidate # 15.794 * * * * [progress]: [ 80 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 81 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 82 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 83 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 84 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 85 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 86 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 87 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 88 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 89 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 90 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 91 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 92 / 120 ] simplifiying candidate # 15.795 * * * * [progress]: [ 93 / 120 ] simplifiying candidate #real (real->posit16 (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (cbrt (hypot re im))))) re) 2.0))))> 15.795 * * * * [progress]: [ 94 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 95 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 96 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 97 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 98 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 99 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 100 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 101 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 102 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 103 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 104 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 105 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 106 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 107 / 120 ] simplifiying candidate # 15.796 * * * * [progress]: [ 108 / 120 ] simplifiying candidate #real (real->posit16 (cbrt (hypot re im))))))) re) 2.0))))> 15.797 * * * * [progress]: [ 109 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 110 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 111 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 112 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 113 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 114 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 115 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 116 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 117 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 118 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 119 / 120 ] simplifiying candidate # 15.797 * * * * [progress]: [ 120 / 120 ] simplifiying candidate # 15.799 * [simplify]: Simplifying: (expm1 (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (log1p (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (* (exp (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (exp re)) (log (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (exp (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (* (cbrt (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))) (cbrt (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (* (* (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (sqrt (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (+ (pow (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) 3) (pow re 3)) (+ (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re))) (- (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* re re)) (- (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re) (real->posit16 (+ (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) re)) (expm1 (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (log1p (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (+ 1/2 (/ (+ (+ 1/3 1/3) 1/3) 2)) (+ 1/2 (/ (+ (* 2 1/3) 1/3) 2)) (+ (/ 1 2) (/ (+ (+ 1/3 1/3) 1/3) 2)) (+ (/ 1 2) (/ (+ (* 2 1/3) 1/3) 2)) (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (+ (log (sqrt (hypot re im))) (log (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (log (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (exp (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))) (cbrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (* (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (hypot re im) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (sqrt (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) (* (cbrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (cbrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (sqrt (hypot re im))) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot 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(hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* 1 1) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* 2 1/3) (* 2 1) (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt 1)) (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (* (cbrt (hypot re im)) (sqrt (cbrt (hypot re im)))) (* (cbrt (hypot re im)) 1) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (real->posit16 (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt 1) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (real->posit16 (cbrt (hypot re im))) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow im 2/3) (* 1/3 (* (pow re 2) (pow (/ 1 (pow im 4)) 1/3)))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (+ (* 1/6 (* (pow re 2) (pow (/ 1 (pow im 5)) 1/3))) (pow im 1/3)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 15.803 * * [simplify]: iteration 1: (151 enodes) 15.888 * * [simplify]: iteration 2: (334 enodes) 16.026 * * [simplify]: iteration 3: (871 enodes) 16.655 * * [simplify]: Extracting #0: cost 69 inf + 0 16.656 * * [simplify]: Extracting #1: cost 216 inf + 6 16.659 * * [simplify]: Extracting #2: cost 389 inf + 1314 16.665 * * [simplify]: Extracting #3: cost 300 inf + 18608 16.679 * * [simplify]: Extracting #4: cost 160 inf + 54455 16.693 * * [simplify]: Extracting #5: cost 54 inf + 91208 16.713 * * [simplify]: Extracting #6: cost 6 inf + 114252 16.732 * * [simplify]: Extracting #7: cost 1 inf + 115684 16.753 * * [simplify]: Extracting #8: cost 0 inf + 115896 16.771 * [simplify]: Simplified to: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (exp (+ re (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (fma (* (hypot re im) (hypot re im)) (hypot re im) (* re (* re re))) (fma (hypot re im) (hypot re im) (* (- re (hypot re im)) re)) (- (* (hypot re im) (hypot re im)) (* re re)) (- (hypot re im) re) (real->posit16 (+ re (hypot re im))) (expm1 (hypot re im)) (log1p (hypot re im)) 1 1 1 1 (* (hypot re im) (hypot re im)) (hypot re im) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (* (hypot re im) (hypot re im)) (log (hypot re im)) (log (hypot re im)) (exp (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (* (hypot re im) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (sqrt (hypot re im))) (* (fabs (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (hypot re im) (real->posit16 (hypot re im)) (expm1 (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (log1p (* (cbrt (hypot re im)) (cbrt (hypot re im)))) 2/3 2 (* (hypot re im) (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) 2 (log (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (log (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (exp (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (hypot re im) (hypot re im)) (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (* (hypot re im) (hypot re im)) (fabs (cbrt (hypot re im))) (fabs (cbrt (hypot re im))) (* (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) 1 (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (hypot re im)) (cbrt (hypot re im)) 1 (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (cbrt (hypot re im)) (cbrt (hypot re im)) 2/3 2 (* (cbrt (hypot re im)) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (cbrt (hypot re im)) (* (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (sqrt (hypot re im)))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (* (cbrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (cbrt (hypot re im))) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (real->posit16 (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (expm1 (cbrt (hypot re im))) (log1p (cbrt (hypot re im))) (log (cbrt (hypot re im))) (exp (cbrt (hypot re im))) (cbrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))) 1 (cbrt (hypot re im)) (* (cbrt (cbrt (hypot re im))) (cbrt (cbrt (hypot re im)))) (cbrt (cbrt (hypot re im))) (hypot re im) (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im))) (real->posit16 (cbrt (hypot re im))) (+ im re) (* re 2) 0 im re (- re) (fma (* (* re re) 1/3) (cbrt (/ (/ 1 (* im im)) (* im im))) (* (cbrt im) (cbrt im))) (pow (/ 1 re) -2/3) (pow (/ -1 re) -2/3) (fma 1/6 (* (cbrt (/ 1 (pow im 5))) (* re re)) (cbrt im)) (pow (/ 1 re) -1/3) (pow (/ -1 re) -1/3) 16.782 * * * [progress]: adding candidates to table 18.341 * [progress]: [Phase 3 of 3] Extracting. 18.341 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 18.343 * * * [regime-changes]: Trying 2 branch expressions: (im re) 18.343 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # # #) 18.456 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # # #) 18.575 * * * [regime]: Found split indices: #