248.526 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.084 * [progress]: [Phase 2 of 3] Improving. 0.084 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.084 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.084 * * [simplify]: iteration 1: (12 enodes) 0.089 * * [simplify]: iteration 2: (22 enodes) 0.096 * * [simplify]: iteration 3: (24 enodes) 0.102 * * [simplify]: Extracting #0: cost 1 inf + 0 0.102 * * [simplify]: Extracting #1: cost 3 inf + 0 0.102 * * [simplify]: Extracting #2: cost 3 inf + 1 0.102 * * [simplify]: Extracting #3: cost 7 inf + 1 0.102 * * [simplify]: Extracting #4: cost 8 inf + 2 0.102 * * [simplify]: Extracting #5: cost 8 inf + 3 0.103 * * [simplify]: Extracting #6: cost 9 inf + 45 0.103 * * [simplify]: Extracting #7: cost 9 inf + 86 0.103 * * [simplify]: Extracting #8: cost 7 inf + 128 0.103 * * [simplify]: Extracting #9: cost 5 inf + 412 0.103 * * [simplify]: Extracting #10: cost 2 inf + 1060 0.104 * * [simplify]: Extracting #11: cost 0 inf + 1667 0.105 * [simplify]: Simplified to: (* 0.5 (sqrt (* (+ (sqrt (+ (* re re) (* im im))) re) 2.0))) 0.135 * * [progress]: iteration 1 / 4 0.135 * * * [progress]: picking best candidate 0.142 * * * * [pick]: Picked # 0.142 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.193 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) 0.226 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.257 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.258 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 0.258 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.258 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.258 * [taylor]: Taking taylor expansion of im in im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.258 * [taylor]: Taking taylor expansion of re in im 0.258 * [backup-simplify]: Simplify re into re 0.258 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.258 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.258 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.258 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.259 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.259 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.259 * [taylor]: Taking taylor expansion of im in re 0.259 * [backup-simplify]: Simplify im into im 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.260 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.260 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.260 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.260 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [backup-simplify]: Simplify im into im 0.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.261 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.261 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.262 * [taylor]: Taking taylor expansion of im in im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [taylor]: Taking taylor expansion of 0 in im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.264 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.264 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.264 * [taylor]: Taking taylor expansion of 1/2 in im 0.264 * [backup-simplify]: Simplify 1/2 into 1/2 0.264 * [taylor]: Taking taylor expansion of im in im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.269 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.269 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.269 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.269 * [taylor]: Taking taylor expansion of re in im 0.269 * [backup-simplify]: Simplify re into re 0.269 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.270 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (sqrt 1) into 1 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.274 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.274 * [taylor]: Taking taylor expansion of im in re 0.274 * [backup-simplify]: Simplify im into im 0.274 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.274 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.274 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (sqrt 1) into 1 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.277 * [taylor]: Taking taylor expansion of re in re 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 1 into 1 0.277 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ 1 1) into 1 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.277 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.277 * [taylor]: Taking taylor expansion of im in re 0.277 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.278 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.278 * [backup-simplify]: Simplify (+ 1 0) into 1 0.278 * [backup-simplify]: Simplify (sqrt 1) into 1 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.280 * [taylor]: Taking taylor expansion of 1 in im 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [taylor]: Taking taylor expansion of 0 in im 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 1 into 1 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.282 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.282 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.282 * [taylor]: Taking taylor expansion of 1/2 in im 0.282 * [backup-simplify]: Simplify 1/2 into 1/2 0.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.285 * [taylor]: Taking taylor expansion of 0 in im 0.285 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.287 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 0.287 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 0.287 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.287 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.287 * [taylor]: Taking taylor expansion of re in im 0.287 * [backup-simplify]: Simplify re into re 0.287 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.287 * [taylor]: Taking taylor expansion of im in im 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 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [backup-simplify]: Simplify (+ 0 1) into 1 0.288 * [backup-simplify]: Simplify (sqrt 1) into 1 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.290 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.290 * [taylor]: Taking taylor expansion of re in re 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.290 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.290 * [taylor]: Taking taylor expansion of im in re 0.290 * [backup-simplify]: Simplify im into im 0.290 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.290 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.291 * [backup-simplify]: Simplify (sqrt 1) into 1 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.293 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.293 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.293 * [taylor]: Taking taylor expansion of re in re 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.293 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.293 * [taylor]: Taking taylor expansion of im in re 0.293 * [backup-simplify]: Simplify im into im 0.293 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.293 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.294 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (sqrt 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.296 * [taylor]: Taking taylor expansion of 1 in im 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [taylor]: Taking taylor expansion of 0 in im 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.298 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.298 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.298 * [taylor]: Taking taylor expansion of 1/2 in im 0.298 * [backup-simplify]: Simplify 1/2 into 1/2 0.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.298 * [taylor]: Taking taylor expansion of im in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.301 * [taylor]: Taking taylor expansion of 0 in im 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.303 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.303 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow im 2) (pow re 2)))) 0.303 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in (re im) around 0 0.303 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.303 * [taylor]: Taking taylor expansion of re in im 0.303 * [backup-simplify]: Simplify re into re 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.303 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.303 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.303 * [taylor]: Taking taylor expansion of im in im 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.303 * [taylor]: Taking taylor expansion of re in im 0.303 * [backup-simplify]: Simplify re into re 0.303 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.303 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.303 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.303 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.304 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.304 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.304 * [taylor]: Taking taylor expansion of im in re 0.304 * [backup-simplify]: Simplify im into im 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.304 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.304 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.304 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.305 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.305 * [taylor]: Taking taylor expansion of re in re 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.305 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.305 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.305 * [taylor]: Taking taylor expansion of im in re 0.305 * [backup-simplify]: Simplify im into im 0.305 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.305 * [taylor]: Taking taylor expansion of re in re 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.305 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.305 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.305 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 im) into im 0.306 * [taylor]: Taking taylor expansion of im in im 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ 1 0) into 1 0.306 * [taylor]: Taking taylor expansion of 1 in im 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify 1 into 1 0.307 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.307 * [backup-simplify]: Simplify (* 1 1) into 1 0.307 * [backup-simplify]: Simplify (+ 0 1) into 1 0.308 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.308 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.308 * [taylor]: Taking taylor expansion of 1/2 in im 0.308 * [backup-simplify]: Simplify 1/2 into 1/2 0.308 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.308 * [taylor]: Taking taylor expansion of im in im 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.312 * [backup-simplify]: Simplify (+ 0 0) into 0 0.312 * [taylor]: Taking taylor expansion of 0 in im 0.312 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.315 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 0.315 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.315 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.315 * [taylor]: Taking taylor expansion of re in im 0.315 * [backup-simplify]: Simplify re into re 0.315 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.315 * [taylor]: Taking taylor expansion of re in im 0.315 * [backup-simplify]: Simplify re into re 0.315 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.315 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.315 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.315 * [taylor]: Taking taylor expansion of im in im 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.316 * [backup-simplify]: Simplify (* 1 1) into 1 0.316 * [backup-simplify]: Simplify (/ 1 1) into 1 0.316 * [backup-simplify]: Simplify (+ 0 1) into 1 0.317 * [backup-simplify]: Simplify (sqrt 1) into 1 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.319 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.319 * [taylor]: Taking taylor expansion of re in re 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.320 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.320 * [taylor]: Taking taylor expansion of re in re 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.321 * [taylor]: Taking taylor expansion of im in re 0.321 * [backup-simplify]: Simplify im into im 0.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.322 * [backup-simplify]: Simplify (sqrt 1) into 1 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.324 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.324 * [taylor]: Taking taylor expansion of re in re 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.325 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.325 * [taylor]: Taking taylor expansion of im in re 0.325 * [backup-simplify]: Simplify im into im 0.325 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.325 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.329 * [backup-simplify]: Simplify (+ 1 1) into 2 0.329 * [taylor]: Taking taylor expansion of 2 in im 0.329 * [backup-simplify]: Simplify 2 into 2 0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [taylor]: Taking taylor expansion of 0 in im 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 2 into 2 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.334 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.334 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.334 * [taylor]: Taking taylor expansion of 1/2 in im 0.334 * [backup-simplify]: Simplify 1/2 into 1/2 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.334 * [taylor]: Taking taylor expansion of im in im 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [taylor]: Taking taylor expansion of 0 in im 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.344 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 0.344 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 0.344 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.344 * [taylor]: Taking taylor expansion of re in im 0.344 * [backup-simplify]: Simplify re into re 0.344 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.344 * [taylor]: Taking taylor expansion of im in im 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [backup-simplify]: Simplify (sqrt 1) into 1 0.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.347 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.347 * [taylor]: Taking taylor expansion of re in im 0.347 * [backup-simplify]: Simplify re into re 0.347 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.347 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.347 * [taylor]: Taking taylor expansion of re in re 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.347 * [taylor]: Taking taylor expansion of im in re 0.348 * [backup-simplify]: Simplify im into im 0.348 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.348 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.348 * [backup-simplify]: Simplify (+ 1 0) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.350 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.350 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.350 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.350 * [taylor]: Taking taylor expansion of re in re 0.350 * [backup-simplify]: Simplify 0 into 0 0.350 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.351 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.351 * [taylor]: Taking taylor expansion of im in re 0.351 * [backup-simplify]: Simplify im into im 0.351 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.351 * [backup-simplify]: Simplify (+ 1 0) into 1 0.351 * [backup-simplify]: Simplify (sqrt 1) into 1 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.353 * [taylor]: Taking taylor expansion of re in re 0.353 * [backup-simplify]: Simplify 0 into 0 0.353 * [backup-simplify]: Simplify 1 into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [backup-simplify]: Simplify (- 1) into -1 0.354 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.354 * [taylor]: Taking taylor expansion of 0 in im 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify (+ 0 0) into 0 0.355 * [taylor]: Taking taylor expansion of 0 in im 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.356 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.357 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.358 * [taylor]: Taking taylor expansion of 1/2 in im 0.358 * [backup-simplify]: Simplify 1/2 into 1/2 0.358 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.358 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.358 * [taylor]: Taking taylor expansion of im in im 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [taylor]: Taking taylor expansion of 0 in im 0.364 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1) 0.367 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow im 2) (pow re 2)) 0.367 * [approximate]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in (re im) around 0 0.367 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.367 * [taylor]: Taking taylor expansion of im in im 0.367 * [backup-simplify]: Simplify 0 into 0 0.367 * [backup-simplify]: Simplify 1 into 1 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.367 * [taylor]: Taking taylor expansion of re in im 0.367 * [backup-simplify]: Simplify re into re 0.367 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.367 * [taylor]: Taking taylor expansion of im in re 0.367 * [backup-simplify]: Simplify im into im 0.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.368 * [taylor]: Taking taylor expansion of im in re 0.368 * [backup-simplify]: Simplify im into im 0.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 (* im im) into (pow im 2) 0.368 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.368 * [taylor]: Taking taylor expansion of im in im 0.368 * [backup-simplify]: Simplify 0 into 0 0.368 * [backup-simplify]: Simplify 1 into 1 0.368 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.369 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [taylor]: Taking taylor expansion of 0 in im 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify 0 into 0 0.369 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (+ 0 1) into 1 0.370 * [taylor]: Taking taylor expansion of 1 in im 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.372 * [taylor]: Taking taylor expansion of 0 in im 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in im 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow im 2) (pow re 2)) 0.376 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.376 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.376 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.376 * [taylor]: Taking taylor expansion of re in im 0.377 * [backup-simplify]: Simplify re into re 0.377 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.377 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.377 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.377 * [taylor]: Taking taylor expansion of im in im 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 1 into 1 0.377 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.378 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.378 * [taylor]: Taking taylor expansion of re in re 0.378 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify 1 into 1 0.378 * [backup-simplify]: Simplify (* 1 1) into 1 0.378 * [backup-simplify]: Simplify (/ 1 1) into 1 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.379 * [taylor]: Taking taylor expansion of im in re 0.379 * [backup-simplify]: Simplify im into im 0.379 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.379 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.379 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.379 * [taylor]: Taking taylor expansion of re in re 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [backup-simplify]: Simplify (* 1 1) into 1 0.380 * [backup-simplify]: Simplify (/ 1 1) into 1 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.380 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.380 * [taylor]: Taking taylor expansion of im in re 0.380 * [backup-simplify]: Simplify im into im 0.380 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.380 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.380 * [backup-simplify]: Simplify (+ 1 0) into 1 0.380 * [taylor]: Taking taylor expansion of 1 in im 0.380 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in im 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.383 * [taylor]: Taking taylor expansion of im in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [backup-simplify]: Simplify (* 1 1) into 1 0.384 * [backup-simplify]: Simplify (/ 1 1) into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.385 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [taylor]: Taking taylor expansion of 0 in im 0.385 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.390 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) 0.390 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in (re im) around 0 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.390 * [taylor]: Taking taylor expansion of re in im 0.390 * [backup-simplify]: Simplify re into re 0.390 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.390 * [taylor]: Taking taylor expansion of im in im 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.391 * [backup-simplify]: Simplify (* 1 1) into 1 0.391 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.391 * [taylor]: Taking taylor expansion of im in re 0.391 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.392 * [taylor]: Taking taylor expansion of re in re 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 1 into 1 0.392 * [backup-simplify]: Simplify (* 1 1) into 1 0.392 * [backup-simplify]: Simplify (/ 1 1) into 1 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.392 * [taylor]: Taking taylor expansion of im in re 0.392 * [backup-simplify]: Simplify im into im 0.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.392 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.393 * [backup-simplify]: Simplify (+ 1 0) into 1 0.393 * [taylor]: Taking taylor expansion of 1 in im 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ 0 0) into 0 0.394 * [taylor]: Taking taylor expansion of 0 in im 0.394 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.395 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.395 * [taylor]: Taking taylor expansion of im in im 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in im 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow im 2) (pow re 2)) 0.402 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.402 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) 0.402 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in (re im) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in im 0.403 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.403 * [taylor]: Taking taylor expansion of 2.0 in im 0.403 * [backup-simplify]: Simplify 2.0 into 2.0 0.403 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in im 0.403 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [backup-simplify]: Simplify re into re 0.403 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 0.403 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.403 * [taylor]: Taking taylor expansion of im in im 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.404 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.404 * [taylor]: Taking taylor expansion of re in im 0.404 * [backup-simplify]: Simplify re into re 0.404 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.404 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 0.404 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.404 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.404 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.404 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 0.404 * [backup-simplify]: Simplify (+ 0 0) into 0 0.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.405 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.405 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.405 * [taylor]: Taking taylor expansion of 2.0 in re 0.405 * [backup-simplify]: Simplify 2.0 into 2.0 0.405 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.405 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.405 * [taylor]: Taking taylor expansion of re in re 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.405 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.405 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.405 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.405 * [taylor]: Taking taylor expansion of im in re 0.405 * [backup-simplify]: Simplify im into im 0.405 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.405 * [taylor]: Taking taylor expansion of re in re 0.405 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify 1 into 1 0.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.406 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.406 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.406 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.406 * [backup-simplify]: Simplify (+ 0 0) into 0 0.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.406 * [backup-simplify]: Simplify (+ 0 im) into im 0.406 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.406 * [backup-simplify]: Simplify (+ 1 0) into 1 0.406 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.406 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2)))))) in re 0.406 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.406 * [taylor]: Taking taylor expansion of 2.0 in re 0.406 * [backup-simplify]: Simplify 2.0 into 2.0 0.407 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow im 2) (pow re 2))))) in re 0.407 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow im 2) (pow re 2)))) in re 0.407 * [taylor]: Taking taylor expansion of re in re 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 0.407 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.407 * [taylor]: Taking taylor expansion of im in re 0.407 * [backup-simplify]: Simplify im into im 0.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.407 * [taylor]: Taking taylor expansion of re in re 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.408 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 0.408 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.408 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.408 * [backup-simplify]: Simplify (+ 0 0) into 0 0.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.408 * [backup-simplify]: Simplify (+ 0 im) into im 0.408 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.408 * [backup-simplify]: Simplify (+ 1 0) into 1 0.408 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.409 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.409 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) 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) 0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.409 * [taylor]: Taking taylor expansion of (sqrt im) 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 0.410 * [backup-simplify]: Simplify (sqrt 0) into 0 0.411 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.411 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.412 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.412 * [taylor]: Taking taylor expansion of 1/2 in im 0.412 * [backup-simplify]: Simplify 1/2 into 1/2 0.412 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.412 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.412 * [taylor]: Taking taylor expansion of 2.0 in im 0.412 * [backup-simplify]: Simplify 2.0 into 2.0 0.412 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.413 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.413 * [taylor]: Taking taylor expansion of im in im 0.413 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (/ 1 1) into 1 0.413 * [backup-simplify]: Simplify (sqrt 0) into 0 0.414 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.416 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.417 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.421 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.423 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.425 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.427 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.427 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.427 * [backup-simplify]: Simplify (* 1 1) into 1 0.428 * [backup-simplify]: Simplify (+ 0 1) into 1 0.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.429 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.430 * [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)))) 0.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.432 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.432 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.432 * [taylor]: Taking taylor expansion of 1/8 in im 0.432 * [backup-simplify]: Simplify 1/8 into 1/8 0.432 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.432 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.432 * [taylor]: Taking taylor expansion of 2.0 in im 0.432 * [backup-simplify]: Simplify 2.0 into 2.0 0.432 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.433 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.433 * [taylor]: Taking taylor expansion of im in im 0.433 * [backup-simplify]: Simplify 0 into 0 0.433 * [backup-simplify]: Simplify 1 into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.434 * [backup-simplify]: Simplify (* 1 1) into 1 0.435 * [backup-simplify]: Simplify (/ 1 1) into 1 0.435 * [backup-simplify]: Simplify (sqrt 0) into 0 0.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.442 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.443 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.446 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.447 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.447 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.455 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.458 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.461 * [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))))))) 0.461 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) 0.461 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in (re im) around 0 0.461 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 0.461 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.461 * [taylor]: Taking taylor expansion of 2.0 in im 0.461 * [backup-simplify]: Simplify 2.0 into 2.0 0.462 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 0.462 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.462 * [taylor]: Taking taylor expansion of re in im 0.462 * [backup-simplify]: Simplify re into re 0.462 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.462 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.462 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.462 * [taylor]: Taking taylor expansion of re in im 0.462 * [backup-simplify]: Simplify re into re 0.463 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.463 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.463 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.463 * [taylor]: Taking taylor expansion of im in im 0.463 * [backup-simplify]: Simplify 0 into 0 0.463 * [backup-simplify]: Simplify 1 into 1 0.463 * [backup-simplify]: Simplify (* 1 1) into 1 0.463 * [backup-simplify]: Simplify (/ 1 1) into 1 0.463 * [backup-simplify]: Simplify (+ 0 1) into 1 0.464 * [backup-simplify]: Simplify (sqrt 1) into 1 0.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 0) into 0 0.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.465 * [backup-simplify]: Simplify (+ 0 1) into 1 0.466 * [backup-simplify]: Simplify (sqrt 0) into 0 0.467 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.467 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.467 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.467 * [taylor]: Taking taylor expansion of 2.0 in re 0.467 * [backup-simplify]: Simplify 2.0 into 2.0 0.467 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.467 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.467 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.467 * [taylor]: Taking taylor expansion of re in re 0.467 * [backup-simplify]: Simplify 0 into 0 0.467 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.468 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.468 * [taylor]: Taking taylor expansion of re in re 0.468 * [backup-simplify]: Simplify 0 into 0 0.468 * [backup-simplify]: Simplify 1 into 1 0.468 * [backup-simplify]: Simplify (* 1 1) into 1 0.468 * [backup-simplify]: Simplify (/ 1 1) into 1 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.468 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.468 * [taylor]: Taking taylor expansion of im in re 0.468 * [backup-simplify]: Simplify im into im 0.468 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.469 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.469 * [backup-simplify]: Simplify (+ 1 0) into 1 0.469 * [backup-simplify]: Simplify (sqrt 1) into 1 0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.470 * [backup-simplify]: Simplify (+ 0 0) into 0 0.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.471 * [backup-simplify]: Simplify (+ 1 1) into 2 0.471 * [backup-simplify]: Simplify (sqrt 0) into 0 0.472 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.472 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 0.472 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.472 * [taylor]: Taking taylor expansion of 2.0 in re 0.472 * [backup-simplify]: Simplify 2.0 into 2.0 0.472 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 0.473 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (/ 1 1) into 1 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.473 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.473 * [taylor]: Taking taylor expansion of re in re 0.473 * [backup-simplify]: Simplify 0 into 0 0.473 * [backup-simplify]: Simplify 1 into 1 0.473 * [backup-simplify]: Simplify (* 1 1) into 1 0.474 * [backup-simplify]: Simplify (/ 1 1) into 1 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.474 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.474 * [taylor]: Taking taylor expansion of im in re 0.474 * [backup-simplify]: Simplify im into im 0.474 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.474 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.474 * [backup-simplify]: Simplify (+ 1 0) into 1 0.474 * [backup-simplify]: Simplify (sqrt 1) into 1 0.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.475 * [backup-simplify]: Simplify (+ 0 0) into 0 0.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.476 * [backup-simplify]: Simplify (+ 1 1) into 2 0.476 * [backup-simplify]: Simplify (sqrt 0) into 0 0.477 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.477 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.477 * [taylor]: Taking taylor expansion of 0 in im 0.477 * [backup-simplify]: Simplify 0 into 0 0.479 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.479 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.479 * [taylor]: Taking taylor expansion of +nan.0 in im 0.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.479 * [taylor]: Taking taylor expansion of 2.0 in im 0.479 * [backup-simplify]: Simplify 2.0 into 2.0 0.479 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.479 * [backup-simplify]: Simplify 0 into 0 0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.480 * [backup-simplify]: Simplify (+ 0 0) into 0 0.482 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.483 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.485 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.485 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.485 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.485 * [taylor]: Taking taylor expansion of +nan.0 in im 0.485 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.485 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.485 * [taylor]: Taking taylor expansion of 2.0 in im 0.485 * [backup-simplify]: Simplify 2.0 into 2.0 0.485 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.486 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.487 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.488 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.488 * [backup-simplify]: Simplify 0 into 0 0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.490 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.490 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.490 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.492 * [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)) 0.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.493 * [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)))))) 0.493 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.493 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.493 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.493 * [taylor]: Taking taylor expansion of +nan.0 in im 0.493 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.493 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.493 * [taylor]: Taking taylor expansion of 2.0 in im 0.493 * [backup-simplify]: Simplify 2.0 into 2.0 0.494 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.494 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.494 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.494 * [taylor]: Taking taylor expansion of +nan.0 in im 0.494 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.494 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.494 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.494 * [taylor]: Taking taylor expansion of 2.0 in im 0.494 * [backup-simplify]: Simplify 2.0 into 2.0 0.495 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.495 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.495 * [taylor]: Taking taylor expansion of im in im 0.495 * [backup-simplify]: Simplify 0 into 0 0.495 * [backup-simplify]: Simplify 1 into 1 0.495 * [backup-simplify]: Simplify (* 1 1) into 1 0.496 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.497 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify (+ 0 0) into 0 0.498 * [backup-simplify]: Simplify (- 0) into 0 0.498 * [backup-simplify]: Simplify 0 into 0 0.499 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.500 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.501 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.501 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.501 * [backup-simplify]: Simplify (- 0) into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.501 * [backup-simplify]: Simplify 0 into 0 0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.504 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.504 * [backup-simplify]: Simplify (+ 0 0) into 0 0.505 * [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))) 0.507 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.509 * [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)))))) 0.509 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))) in im 0.509 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) in im 0.509 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.509 * [taylor]: Taking taylor expansion of +nan.0 in im 0.509 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.509 * [taylor]: Taking taylor expansion of 2.0 in im 0.509 * [backup-simplify]: Simplify 2.0 into 2.0 0.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.510 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.510 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.510 * [taylor]: Taking taylor expansion of +nan.0 in im 0.510 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.510 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.510 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.510 * [taylor]: Taking taylor expansion of 2.0 in im 0.510 * [backup-simplify]: Simplify 2.0 into 2.0 0.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.511 * [taylor]: Taking taylor expansion of im in im 0.511 * [backup-simplify]: Simplify 0 into 0 0.511 * [backup-simplify]: Simplify 1 into 1 0.512 * [backup-simplify]: Simplify (* 1 1) into 1 0.513 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.515 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify (+ 0 0) into 0 0.516 * [backup-simplify]: Simplify (- 0) into 0 0.516 * [backup-simplify]: Simplify 0 into 0 0.517 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.518 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.521 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.522 * [backup-simplify]: Simplify (- 0) into 0 0.523 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.525 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.527 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.531 * [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)))))))) 0.532 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 0.532 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (re im) around 0 0.532 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 0.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.532 * [taylor]: Taking taylor expansion of 2.0 in im 0.532 * [backup-simplify]: Simplify 2.0 into 2.0 0.532 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.533 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 0.533 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 0.533 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 0.533 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.533 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.533 * [taylor]: Taking taylor expansion of re in im 0.533 * [backup-simplify]: Simplify re into re 0.533 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.533 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.533 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.533 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.534 * [backup-simplify]: Simplify (/ 1 1) into 1 0.534 * [backup-simplify]: Simplify (+ 0 1) into 1 0.534 * [backup-simplify]: Simplify (sqrt 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.536 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.536 * [taylor]: Taking taylor expansion of re in im 0.536 * [backup-simplify]: Simplify re into re 0.536 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.536 * [backup-simplify]: Simplify (+ 1 0) into 1 0.536 * [backup-simplify]: Simplify (sqrt 0) into 0 0.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.537 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.537 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.537 * [taylor]: Taking taylor expansion of 2.0 in re 0.537 * [backup-simplify]: Simplify 2.0 into 2.0 0.538 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.538 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.538 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.538 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.538 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.538 * [taylor]: Taking taylor expansion of re in re 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 1 into 1 0.538 * [backup-simplify]: Simplify (* 1 1) into 1 0.539 * [backup-simplify]: Simplify (/ 1 1) into 1 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.539 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.539 * [taylor]: Taking taylor expansion of im in re 0.539 * [backup-simplify]: Simplify im into im 0.539 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.539 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.539 * [backup-simplify]: Simplify (+ 1 0) into 1 0.539 * [backup-simplify]: Simplify (sqrt 1) into 1 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.540 * [backup-simplify]: Simplify (+ 0 0) into 0 0.541 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.541 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.541 * [taylor]: Taking taylor expansion of re in re 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (- 1) into -1 0.542 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (- 0) into 0 0.543 * [backup-simplify]: Simplify (+ 0 0) into 0 0.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.545 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- 0) into 0 0.545 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.546 * [backup-simplify]: Simplify (sqrt 0) into 0 0.546 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.546 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 0.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.546 * [taylor]: Taking taylor expansion of 2.0 in re 0.546 * [backup-simplify]: Simplify 2.0 into 2.0 0.546 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.547 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 0.547 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 0.547 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.547 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.547 * [taylor]: Taking taylor expansion of re in re 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.547 * [backup-simplify]: Simplify (/ 1 1) into 1 0.547 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.548 * [taylor]: Taking taylor expansion of im in re 0.548 * [backup-simplify]: Simplify im into im 0.548 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.548 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.548 * [backup-simplify]: Simplify (+ 1 0) into 1 0.548 * [backup-simplify]: Simplify (sqrt 1) into 1 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.550 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.550 * [taylor]: Taking taylor expansion of re in re 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.550 * [backup-simplify]: Simplify (/ 1 1) into 1 0.550 * [backup-simplify]: Simplify (- 1) into -1 0.551 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.551 * [backup-simplify]: Simplify (- 0) into 0 0.551 * [backup-simplify]: Simplify (+ 0 0) into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.553 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (- 0) into 0 0.558 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.559 * [backup-simplify]: Simplify (sqrt 0) into 0 0.559 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.559 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.559 * [taylor]: Taking taylor expansion of 0 in im 0.559 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.560 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.560 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.560 * [taylor]: Taking taylor expansion of +nan.0 in im 0.560 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.560 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.560 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.560 * [taylor]: Taking taylor expansion of 2.0 in im 0.560 * [backup-simplify]: Simplify 2.0 into 2.0 0.561 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.561 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.561 * [taylor]: Taking taylor expansion of im in im 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 1 into 1 0.561 * [backup-simplify]: Simplify (* 1 1) into 1 0.562 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.564 * [backup-simplify]: Simplify (- 0) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.566 * [backup-simplify]: Simplify (+ 0 0) into 0 0.566 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.568 * [backup-simplify]: Simplify (- 0) into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.570 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.570 * [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)))) 0.570 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.571 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.571 * [taylor]: Taking taylor expansion of +nan.0 in im 0.571 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.571 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.571 * [taylor]: Taking taylor expansion of 2.0 in im 0.571 * [backup-simplify]: Simplify 2.0 into 2.0 0.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.571 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.571 * [taylor]: Taking taylor expansion of im in im 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (* 1 1) into 1 0.572 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.573 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.574 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.580 * [backup-simplify]: Simplify (- 0) into 0 0.580 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.583 * [backup-simplify]: Simplify (- 0) into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.586 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (- 0) into 0 0.587 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.587 * [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))))) 0.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.589 * [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)))))) 0.589 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.589 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.589 * [taylor]: Taking taylor expansion of +nan.0 in im 0.589 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.589 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.589 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.589 * [taylor]: Taking taylor expansion of 2.0 in im 0.589 * [backup-simplify]: Simplify 2.0 into 2.0 0.589 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.590 * [taylor]: Taking taylor expansion of (pow im 4) in im 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 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.590 * [backup-simplify]: Simplify (* 1 1) into 1 0.591 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.591 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.591 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.591 * [taylor]: Taking taylor expansion of +nan.0 in im 0.591 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.591 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.591 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.591 * [taylor]: Taking taylor expansion of 2.0 in im 0.591 * [backup-simplify]: Simplify 2.0 into 2.0 0.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.592 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (* 1 1) into 1 0.593 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.600 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.601 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.602 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 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 (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.624 * [backup-simplify]: Simplify (- 0) into 0 0.624 * [backup-simplify]: Simplify (+ 0 0) into 0 0.625 * [backup-simplify]: Simplify (- 0) into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * * * [progress]: simplifying candidates 0.625 * * * * [progress]: [ 1 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 2 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 3 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 4 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 5 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 6 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 7 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 8 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 9 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 10 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 11 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 12 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 13 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 14 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 15 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 16 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 0.625 * * * * [progress]: [ 17 / 67 ] simplifiying candidate # 0.625 * * * * [progress]: [ 18 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 19 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 20 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 21 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 22 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 23 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 24 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 25 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 26 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 27 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 28 / 67 ] simplifiying candidate #real (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.626 * * * * [progress]: [ 29 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 30 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 31 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 32 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 33 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 34 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 35 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 36 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 37 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 38 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 39 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 40 / 67 ] simplifiying candidate #real (real->posit16 (+ (* re re) (* im im))))) re)))))> 0.626 * * * * [progress]: [ 41 / 67 ] simplifiying candidate # 0.626 * * * * [progress]: [ 42 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 43 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 44 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 45 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 46 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 47 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 48 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 49 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 50 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 51 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 52 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 53 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 54 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 55 / 67 ] simplifiying candidate #real (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))))> 0.627 * * * * [progress]: [ 56 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 57 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 58 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 59 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 60 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 61 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 62 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 63 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 64 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 65 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 66 / 67 ] simplifiying candidate # 0.627 * * * * [progress]: [ 67 / 67 ] simplifiying candidate # 0.628 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (real->posit16 (+ (sqrt (+ (* re re) (* im im))) re)) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) (real->posit16 (+ (* re re) (* im im))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (+ (pow im 2) (pow re 2)) (- (+ (* +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 0.629 * * [simplify]: iteration 1: (112 enodes) 0.673 * * [simplify]: iteration 2: (280 enodes) 0.768 * * [simplify]: iteration 3: (868 enodes) 1.415 * * [simplify]: Extracting #0: cost 59 inf + 0 1.416 * * [simplify]: Extracting #1: cost 218 inf + 47 1.421 * * [simplify]: Extracting #2: cost 663 inf + 3243 1.438 * * [simplify]: Extracting #3: cost 479 inf + 36864 1.470 * * [simplify]: Extracting #4: cost 218 inf + 89718 1.504 * * [simplify]: Extracting #5: cost 44 inf + 138301 1.543 * * [simplify]: Extracting #6: cost 0 inf + 152616 1.585 * [simplify]: Simplified to: (log (sqrt (+ (* im im) (* re re)))) (exp (sqrt (+ (* im im) (* re re)))) (* (cbrt (sqrt (+ (* im im) (* re re)))) (cbrt (sqrt (+ (* im im) (* re re))))) (cbrt (sqrt (+ (* im im) (* re re)))) (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (fabs (cbrt (+ (* im im) (* re re)))) (sqrt (cbrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) 1 (sqrt (+ (* im im) (* re re))) (sqrt (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im))))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re)))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (* (+ re im) (- re im))) 1/2 (sqrt (sqrt (+ (* im im) (* re re)))) (sqrt (sqrt (+ (* im im) (* re re)))) (real->posit16 (sqrt (+ (* im im) (* re re)))) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (log (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (sqrt (+ (* im im) (* re re))) re)) (* (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (cbrt (+ (sqrt (+ (* im im) (* re re))) re))) (cbrt (+ (sqrt (+ (* im im) (* re re))) re)) (* (+ (sqrt (+ (* im im) (* re re))) re) (* (+ (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re))) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) (+ (+ (* im im) (* re re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re))) (+ (* im im) 0) (- (sqrt (+ (* im im) (* re re))) re) (+ (sqrt (+ (* im im) (* re re))) re) (real->posit16 (+ (sqrt (+ (* im im) (* re re))) re)) (exp (+ (* im im) (* re re))) (log (+ (* im im) (* re re))) (exp (+ (* im im) (* re re))) (* (cbrt (+ (* im im) (* re re))) (cbrt (+ (* im im) (* re re)))) (cbrt (+ (* im im) (* re re))) (* (+ (* im im) (* re re)) (* (+ (* im im) (* re re)) (+ (* im im) (* re re)))) (sqrt (+ (* im im) (* re re))) (sqrt (+ (* im im) (* re re))) (+ (* (* re (* re re)) (* re (* re re))) (* (* im im) (* (* im im) (* im im)))) (+ (* (* im im) (- (* im im) (* re re))) (* (* re re) (* re re))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (* (+ re im) (- re im)) (real->posit16 (+ (* im im) (* re re))) (log (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (* (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* im im) (* re re))) re)) (sqrt (* (+ (* (sqrt (+ (* im im) (* re re))) (+ (* im im) (* re re))) (* re (* re re))) 2.0)) (sqrt (+ (+ (* im im) (* re re)) (- (* re re) (* (sqrt (+ (* im im) (* re re))) re)))) (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* im im) (* re re))) re)) 1/2 1/2 (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) (real->posit16 (sqrt (* 2.0 (+ (sqrt (+ (* im im) (* re re))) re)))) im re (- re) (+ re im) (* re 2) 0 (+ (* im im) (* re re)) (+ (* im im) (* re re)) (+ (* im im) (* re re)) (* (* +nan.0 (sqrt 2.0)) (+ (- (* re re)) (- im re))) (+ (- (- (* +nan.0 (sqrt 2.0))) (/ (- (* +nan.0 (sqrt 2.0))) re)) (/ (- (* +nan.0 (sqrt 2.0))) (* re re))) 0 1.590 * * * [progress]: adding candidates to table 2.316 * * [progress]: iteration 2 / 4 2.317 * * * [progress]: picking best candidate 2.346 * * * * [pick]: Picked # 2.346 * * * [progress]: localizing error 2.404 * * * [progress]: generating rewritten candidates 2.404 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.423 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 2.430 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.460 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.573 * * * [progress]: generating series expansions 2.574 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.574 * [backup-simplify]: Simplify (sqrt (+ (* (* im im) 2.0) 0)) into (* (sqrt 2.0) im) 2.574 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) im) in (im) around 0 2.574 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.574 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.574 * [taylor]: Taking taylor expansion of 2.0 in im 2.574 * [backup-simplify]: Simplify 2.0 into 2.0 2.575 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.576 * [taylor]: Taking taylor expansion of im in im 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify 1 into 1 2.576 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.576 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.576 * [taylor]: Taking taylor expansion of 2.0 in im 2.576 * [backup-simplify]: Simplify 2.0 into 2.0 2.576 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.577 * [taylor]: Taking taylor expansion of im in im 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.578 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.578 * [backup-simplify]: Simplify 0 into 0 2.580 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.580 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.581 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.582 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.582 * [backup-simplify]: Simplify 0 into 0 2.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.588 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.588 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.591 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.594 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.594 * [backup-simplify]: Simplify 0 into 0 2.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.596 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.598 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify (* (sqrt 2.0) im) into (* (sqrt 2.0) im) 2.598 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 im) (/ 1 im)) 2.0) 0)) into (/ (sqrt 2.0) im) 2.598 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.598 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.598 * [taylor]: Taking taylor expansion of 2.0 in im 2.598 * [backup-simplify]: Simplify 2.0 into 2.0 2.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.599 * [taylor]: Taking taylor expansion of im in im 2.599 * [backup-simplify]: Simplify 0 into 0 2.599 * [backup-simplify]: Simplify 1 into 1 2.599 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.600 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.600 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.600 * [taylor]: Taking taylor expansion of 2.0 in im 2.600 * [backup-simplify]: Simplify 2.0 into 2.0 2.600 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.600 * [taylor]: Taking taylor expansion of im in im 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.601 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.601 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.602 * [backup-simplify]: Simplify 0 into 0 2.603 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.603 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.605 * [backup-simplify]: Simplify 0 into 0 2.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.608 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 im))) into (* (sqrt 2.0) im) 2.610 * [backup-simplify]: Simplify (sqrt (+ (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0) 0)) into (/ (sqrt 2.0) im) 2.610 * [approximate]: Taking taylor expansion of (/ (sqrt 2.0) im) in (im) around 0 2.610 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.610 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.610 * [taylor]: Taking taylor expansion of 2.0 in im 2.610 * [backup-simplify]: Simplify 2.0 into 2.0 2.610 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.611 * [taylor]: Taking taylor expansion of im in im 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.611 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.611 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.612 * [taylor]: Taking taylor expansion of 2.0 in im 2.612 * [backup-simplify]: Simplify 2.0 into 2.0 2.612 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.612 * [taylor]: Taking taylor expansion of im in im 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify 1 into 1 2.613 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify 0 into 0 2.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (* (sqrt 2.0) (/ 1 (/ 1 (- im)))) into (* -1 (* (sqrt 2.0) im)) 2.630 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 2.630 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 2.630 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 2.630 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.630 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.630 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.630 * [taylor]: Taking taylor expansion of im in im 2.630 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify 1 into 1 2.630 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.630 * [taylor]: Taking taylor expansion of re in im 2.630 * [backup-simplify]: Simplify re into re 2.630 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.631 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.631 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.631 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.631 * [backup-simplify]: Simplify (+ 0 0) into 0 2.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.631 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.631 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.631 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.631 * [taylor]: Taking taylor expansion of im in re 2.631 * [backup-simplify]: Simplify im into im 2.632 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.632 * [taylor]: Taking taylor expansion of re in re 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.632 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.632 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.632 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.632 * [backup-simplify]: Simplify (+ 0 0) into 0 2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.633 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.633 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.633 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.633 * [taylor]: Taking taylor expansion of im in re 2.633 * [backup-simplify]: Simplify im into im 2.633 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.633 * [taylor]: Taking taylor expansion of re in re 2.633 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify 1 into 1 2.633 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.633 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.633 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.633 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.634 * [backup-simplify]: Simplify (+ 0 0) into 0 2.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.634 * [taylor]: Taking taylor expansion of im in im 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [taylor]: Taking taylor expansion of 0 in im 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 0 into 0 2.634 * [backup-simplify]: Simplify 1 into 1 2.635 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.635 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (+ 0 1) into 1 2.636 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.636 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.636 * [taylor]: Taking taylor expansion of 1/2 in im 2.636 * [backup-simplify]: Simplify 1/2 into 1/2 2.636 * [taylor]: Taking taylor expansion of im in im 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.639 * [backup-simplify]: Simplify (+ 0 0) into 0 2.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.639 * [taylor]: Taking taylor expansion of 0 in im 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.640 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.640 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.640 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.640 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.640 * [taylor]: Taking taylor expansion of re in im 2.640 * [backup-simplify]: Simplify re into re 2.640 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.640 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.640 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.640 * [taylor]: Taking taylor expansion of im in im 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.640 * [backup-simplify]: Simplify (* 1 1) into 1 2.641 * [backup-simplify]: Simplify (/ 1 1) into 1 2.641 * [backup-simplify]: Simplify (+ 0 1) into 1 2.641 * [backup-simplify]: Simplify (sqrt 1) into 1 2.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.642 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.643 * [taylor]: Taking taylor expansion of re in re 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* 1 1) into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.644 * [taylor]: Taking taylor expansion of im in re 2.644 * [backup-simplify]: Simplify im into im 2.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.644 * [backup-simplify]: Simplify (+ 1 0) into 1 2.645 * [backup-simplify]: Simplify (sqrt 1) into 1 2.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (+ 0 0) into 0 2.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.646 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.646 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.646 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.646 * [taylor]: Taking taylor expansion of re in re 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.647 * [backup-simplify]: Simplify (* 1 1) into 1 2.647 * [backup-simplify]: Simplify (/ 1 1) into 1 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.647 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.647 * [taylor]: Taking taylor expansion of im in re 2.647 * [backup-simplify]: Simplify im into im 2.647 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.647 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.647 * [backup-simplify]: Simplify (+ 1 0) into 1 2.648 * [backup-simplify]: Simplify (sqrt 1) into 1 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.649 * [backup-simplify]: Simplify (+ 0 0) into 0 2.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.650 * [taylor]: Taking taylor expansion of 1 in im 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [taylor]: Taking taylor expansion of 0 in im 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.652 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.652 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.652 * [taylor]: Taking taylor expansion of 1/2 in im 2.652 * [backup-simplify]: Simplify 1/2 into 1/2 2.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.652 * [taylor]: Taking taylor expansion of im in im 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.655 * [backup-simplify]: Simplify (+ 0 0) into 0 2.656 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.656 * [taylor]: Taking taylor expansion of 0 in im 2.656 * [backup-simplify]: Simplify 0 into 0 2.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.657 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 2.657 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 2.657 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.657 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.657 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.657 * [taylor]: Taking taylor expansion of re in im 2.657 * [backup-simplify]: Simplify re into re 2.657 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.658 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.658 * [taylor]: Taking taylor expansion of im in im 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (/ 1 1) into 1 2.658 * [backup-simplify]: Simplify (+ 0 1) into 1 2.659 * [backup-simplify]: Simplify (sqrt 1) into 1 2.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.660 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.660 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.660 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.660 * [taylor]: Taking taylor expansion of re in re 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.661 * [backup-simplify]: Simplify (* 1 1) into 1 2.661 * [backup-simplify]: Simplify (/ 1 1) into 1 2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.661 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.661 * [taylor]: Taking taylor expansion of im in re 2.661 * [backup-simplify]: Simplify im into im 2.661 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.661 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.661 * [backup-simplify]: Simplify (+ 1 0) into 1 2.662 * [backup-simplify]: Simplify (sqrt 1) into 1 2.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.663 * [backup-simplify]: Simplify (+ 0 0) into 0 2.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.664 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.664 * [taylor]: Taking taylor expansion of re in re 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify 1 into 1 2.664 * [backup-simplify]: Simplify (* 1 1) into 1 2.664 * [backup-simplify]: Simplify (/ 1 1) into 1 2.664 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.664 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.664 * [taylor]: Taking taylor expansion of im in re 2.664 * [backup-simplify]: Simplify im into im 2.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.664 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.665 * [backup-simplify]: Simplify (+ 1 0) into 1 2.665 * [backup-simplify]: Simplify (sqrt 1) into 1 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (+ 0 0) into 0 2.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.667 * [taylor]: Taking taylor expansion of 1 in im 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [taylor]: Taking taylor expansion of 0 in im 2.667 * [backup-simplify]: Simplify 0 into 0 2.667 * [backup-simplify]: Simplify 1 into 1 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.669 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.669 * [taylor]: Taking taylor expansion of 1/2 in im 2.669 * [backup-simplify]: Simplify 1/2 into 1/2 2.669 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.669 * [taylor]: Taking taylor expansion of im in im 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (* 1 1) into 1 2.669 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.672 * [backup-simplify]: Simplify (+ 0 0) into 0 2.672 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.672 * [taylor]: Taking taylor expansion of 0 in im 2.672 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.674 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.675 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 2.675 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 2.675 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.675 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.675 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.675 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.675 * [taylor]: Taking taylor expansion of im in im 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.675 * [taylor]: Taking taylor expansion of re in im 2.675 * [backup-simplify]: Simplify re into re 2.675 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.675 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.676 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.676 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.676 * [backup-simplify]: Simplify (+ 0 0) into 0 2.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.676 * [taylor]: Taking taylor expansion of re in im 2.676 * [backup-simplify]: Simplify re into re 2.676 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.676 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.676 * [taylor]: Taking taylor expansion of im in re 2.676 * [backup-simplify]: Simplify im into im 2.676 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.677 * [taylor]: Taking taylor expansion of re in re 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 1 into 1 2.677 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.677 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.677 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.677 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.677 * [backup-simplify]: Simplify (+ 0 0) into 0 2.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.677 * [taylor]: Taking taylor expansion of re in re 2.677 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify 1 into 1 2.678 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.678 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.678 * [taylor]: Taking taylor expansion of im in re 2.678 * [backup-simplify]: Simplify im into im 2.678 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.678 * [taylor]: Taking taylor expansion of re in re 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.678 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.678 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.679 * [taylor]: Taking taylor expansion of re in re 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify (- 0) into 0 2.679 * [backup-simplify]: Simplify (+ im 0) into im 2.679 * [taylor]: Taking taylor expansion of im in im 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 1 into 1 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (- 1) into -1 2.680 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.680 * [taylor]: Taking taylor expansion of -1 in im 2.680 * [backup-simplify]: Simplify -1 into -1 2.680 * [backup-simplify]: Simplify -1 into -1 2.680 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.681 * [backup-simplify]: Simplify (* 1 1) into 1 2.682 * [backup-simplify]: Simplify (+ 0 1) into 1 2.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.683 * [backup-simplify]: Simplify (- 0) into 0 2.683 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.683 * [taylor]: Taking taylor expansion of 1/2 in im 2.683 * [backup-simplify]: Simplify 1/2 into 1/2 2.683 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.683 * [taylor]: Taking taylor expansion of im in im 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (/ 1 1) into 1 2.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.687 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.688 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify (+ 0 0) into 0 2.688 * [taylor]: Taking taylor expansion of 0 in im 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.691 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 2.691 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 2.691 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.691 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.691 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.691 * [taylor]: Taking taylor expansion of re in im 2.691 * [backup-simplify]: Simplify re into re 2.691 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.691 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.691 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.691 * [taylor]: Taking taylor expansion of im in im 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.692 * [backup-simplify]: Simplify (* 1 1) into 1 2.692 * [backup-simplify]: Simplify (/ 1 1) into 1 2.693 * [backup-simplify]: Simplify (+ 0 1) into 1 2.693 * [backup-simplify]: Simplify (sqrt 1) into 1 2.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.695 * [backup-simplify]: Simplify (+ 0 0) into 0 2.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.696 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.696 * [taylor]: Taking taylor expansion of re in im 2.696 * [backup-simplify]: Simplify re into re 2.696 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.696 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.696 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.696 * [taylor]: Taking taylor expansion of re in re 2.696 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (* 1 1) into 1 2.697 * [backup-simplify]: Simplify (/ 1 1) into 1 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.697 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.697 * [taylor]: Taking taylor expansion of im in re 2.697 * [backup-simplify]: Simplify im into im 2.697 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.697 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.698 * [backup-simplify]: Simplify (+ 1 0) into 1 2.698 * [backup-simplify]: Simplify (sqrt 1) into 1 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.701 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.701 * [taylor]: Taking taylor expansion of re in re 2.701 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify 1 into 1 2.701 * [backup-simplify]: Simplify (/ 1 1) into 1 2.701 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.701 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.701 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.701 * [taylor]: Taking taylor expansion of re in re 2.702 * [backup-simplify]: Simplify 0 into 0 2.702 * [backup-simplify]: Simplify 1 into 1 2.702 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (/ 1 1) into 1 2.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.708 * [taylor]: Taking taylor expansion of im in re 2.708 * [backup-simplify]: Simplify im into im 2.708 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.708 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.710 * [backup-simplify]: Simplify (sqrt 1) into 1 2.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.712 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.712 * [taylor]: Taking taylor expansion of re in re 2.712 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.713 * [backup-simplify]: Simplify (/ 1 1) into 1 2.713 * [backup-simplify]: Simplify (- 1) into -1 2.714 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.714 * [taylor]: Taking taylor expansion of 0 in im 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify (- 0) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [taylor]: Taking taylor expansion of 0 in im 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.718 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (- 0) into 0 2.721 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.721 * [taylor]: Taking taylor expansion of 1/2 in im 2.721 * [backup-simplify]: Simplify 1/2 into 1/2 2.721 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.721 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.721 * [taylor]: Taking taylor expansion of im in im 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (* 1 1) into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.727 * [backup-simplify]: Simplify (+ 0 0) into 0 2.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (- 0) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [taylor]: Taking taylor expansion of 0 in im 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 2.733 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.734 * [taylor]: Taking taylor expansion of re in im 2.734 * [backup-simplify]: Simplify re into re 2.734 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.734 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.734 * [taylor]: Taking taylor expansion of re in im 2.734 * [backup-simplify]: Simplify re into re 2.734 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.734 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.734 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.734 * [taylor]: Taking taylor expansion of im in im 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [backup-simplify]: Simplify (+ 0 1) into 1 2.737 * [backup-simplify]: Simplify (sqrt 1) into 1 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.739 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.740 * [taylor]: Taking taylor expansion of re in re 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.740 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.740 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.740 * [taylor]: Taking taylor expansion of re in re 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (* 1 1) into 1 2.741 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.741 * [taylor]: Taking taylor expansion of im in re 2.741 * [backup-simplify]: Simplify im into im 2.741 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.741 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.742 * [backup-simplify]: Simplify (+ 1 0) into 1 2.742 * [backup-simplify]: Simplify (sqrt 1) into 1 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ 0 0) into 0 2.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.745 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.745 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.746 * [taylor]: Taking taylor expansion of re in re 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.746 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.746 * [taylor]: Taking taylor expansion of re in re 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.747 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.747 * [taylor]: Taking taylor expansion of im in re 2.747 * [backup-simplify]: Simplify im into im 2.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.748 * [backup-simplify]: Simplify (+ 1 0) into 1 2.749 * [backup-simplify]: Simplify (sqrt 1) into 1 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ 0 0) into 0 2.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.752 * [backup-simplify]: Simplify (+ 1 1) into 2 2.752 * [taylor]: Taking taylor expansion of 2 in im 2.752 * [backup-simplify]: Simplify 2 into 2 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in im 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 2 into 2 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.757 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.757 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.758 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.758 * [taylor]: Taking taylor expansion of 1/2 in im 2.758 * [backup-simplify]: Simplify 1/2 into 1/2 2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.758 * [taylor]: Taking taylor expansion of im in im 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 1 into 1 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.758 * [backup-simplify]: Simplify (/ 1 1) into 1 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.765 * [backup-simplify]: Simplify (+ 0 0) into 0 2.765 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.766 * [taylor]: Taking taylor expansion of 0 in im 2.766 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.769 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.769 * [backup-simplify]: Simplify (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 2.769 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 2.769 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 2.769 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.769 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.769 * [taylor]: Taking taylor expansion of 2.0 in re 2.769 * [backup-simplify]: Simplify 2.0 into 2.0 2.770 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.771 * [taylor]: Taking taylor expansion of im in re 2.771 * [backup-simplify]: Simplify im into im 2.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 2.771 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 2.771 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 2.771 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 2.771 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 2.771 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.771 * [taylor]: Taking taylor expansion of im in re 2.771 * [backup-simplify]: Simplify im into im 2.771 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.771 * [taylor]: Taking taylor expansion of re in re 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify 1 into 1 2.771 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.771 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 2.771 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.771 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.772 * [taylor]: Taking taylor expansion of re in re 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (- 0) into 0 2.772 * [backup-simplify]: Simplify (+ im 0) into im 2.772 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.772 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.773 * [backup-simplify]: Simplify (- 1) into -1 2.773 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 2.774 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 2.774 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 2.774 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.774 * [taylor]: Taking taylor expansion of 2.0 in im 2.774 * [backup-simplify]: Simplify 2.0 into 2.0 2.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.775 * [taylor]: Taking taylor expansion of im in im 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.775 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.775 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.775 * [taylor]: Taking taylor expansion of im in im 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.775 * [taylor]: Taking taylor expansion of re in im 2.775 * [backup-simplify]: Simplify re into re 2.775 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.775 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.775 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.775 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.776 * [backup-simplify]: Simplify (+ 0 0) into 0 2.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.776 * [taylor]: Taking taylor expansion of re in im 2.776 * [backup-simplify]: Simplify re into re 2.776 * [backup-simplify]: Simplify (- re) into (- re) 2.776 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.776 * [backup-simplify]: Simplify (- 0) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.778 * [backup-simplify]: Simplify (+ 1 0) into 1 2.779 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.779 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.779 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.779 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.781 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.782 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify (+ 0 0) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.782 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 2.782 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.782 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.782 * [taylor]: Taking taylor expansion of 2.0 in im 2.782 * [backup-simplify]: Simplify 2.0 into 2.0 2.783 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.783 * [taylor]: Taking taylor expansion of im in im 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 2.784 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 2.784 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 2.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 2.784 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 2.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.784 * [taylor]: Taking taylor expansion of im in im 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.784 * [taylor]: Taking taylor expansion of re in im 2.784 * [backup-simplify]: Simplify re into re 2.784 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.784 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 2.784 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.784 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.785 * [backup-simplify]: Simplify (+ 0 0) into 0 2.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.785 * [taylor]: Taking taylor expansion of re in im 2.785 * [backup-simplify]: Simplify re into re 2.785 * [backup-simplify]: Simplify (- re) into (- re) 2.785 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.785 * [backup-simplify]: Simplify (- 0) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.787 * [backup-simplify]: Simplify (+ 1 0) into 1 2.788 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.788 * [backup-simplify]: Simplify (- 0) into 0 2.788 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.788 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.788 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.790 * [backup-simplify]: Simplify (+ 0 0) into 0 2.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.790 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.792 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.792 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 2.792 * [taylor]: Taking taylor expansion of 0 in re 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.795 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 2.795 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.795 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.795 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.795 * [taylor]: Taking taylor expansion of 2.0 in re 2.795 * [backup-simplify]: Simplify 2.0 into 2.0 2.796 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.797 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.797 * [taylor]: Taking taylor expansion of 2 in re 2.797 * [backup-simplify]: Simplify 2 into 2 2.797 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.798 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.798 * [taylor]: Taking taylor expansion of re in re 2.798 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (sqrt 0) into 0 2.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.801 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 2.802 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.804 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 2.806 * [backup-simplify]: Simplify (- 0) into 0 2.806 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 2.806 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 2.807 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 2.808 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.809 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.811 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 2.811 * [taylor]: Taking taylor expansion of 0 in re 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 2.815 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.817 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 2.819 * [backup-simplify]: Simplify (- 0) into 0 2.819 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.820 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 2.821 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.822 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 2.824 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 2.824 * [taylor]: Taking taylor expansion of 1/4 in re 2.824 * [backup-simplify]: Simplify 1/4 into 1/4 2.824 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 2.824 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 2.824 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.824 * [taylor]: Taking taylor expansion of 2.0 in re 2.824 * [backup-simplify]: Simplify 2.0 into 2.0 2.824 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.825 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.825 * [taylor]: Taking taylor expansion of 2 in re 2.825 * [backup-simplify]: Simplify 2 into 2 2.825 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.826 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 2.826 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.826 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.826 * [taylor]: Taking taylor expansion of re in re 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [backup-simplify]: Simplify (sqrt 0) into 0 2.828 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.832 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 2.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.833 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.834 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 2.837 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.843 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.844 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 2.849 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.852 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.852 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.859 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.860 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.867 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.873 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 2.874 * [backup-simplify]: Simplify (/ (sqrt (+ (* (* (/ 1 im) (/ 1 im)) 2.0) 0)) (sqrt (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 2.874 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 2.874 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 2.874 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.874 * [taylor]: Taking taylor expansion of 2.0 in re 2.874 * [backup-simplify]: Simplify 2.0 into 2.0 2.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.874 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.874 * [taylor]: Taking taylor expansion of im in re 2.874 * [backup-simplify]: Simplify im into im 2.875 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 2.875 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 2.875 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.875 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.875 * [taylor]: Taking taylor expansion of re in re 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.875 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.875 * [taylor]: Taking taylor expansion of im in re 2.875 * [backup-simplify]: Simplify im into im 2.876 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.876 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.876 * [backup-simplify]: Simplify (+ 1 0) into 1 2.876 * [backup-simplify]: Simplify (sqrt 1) into 1 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (+ 0 0) into 0 2.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.878 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.878 * [taylor]: Taking taylor expansion of re in re 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [backup-simplify]: Simplify (- 1) into -1 2.878 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.879 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.881 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (- 0) into 0 2.882 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.882 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.883 * [backup-simplify]: Simplify (sqrt 0) into 0 2.883 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.883 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 2.883 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.883 * [taylor]: Taking taylor expansion of 2.0 in im 2.883 * [backup-simplify]: Simplify 2.0 into 2.0 2.883 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.884 * [taylor]: Taking taylor expansion of im in im 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 1 into 1 2.884 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.884 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.884 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 2.884 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.884 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.885 * [taylor]: Taking taylor expansion of re in im 2.885 * [backup-simplify]: Simplify re into re 2.885 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.885 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.885 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.885 * [taylor]: Taking taylor expansion of im in im 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (* 1 1) into 1 2.885 * [backup-simplify]: Simplify (/ 1 1) into 1 2.885 * [backup-simplify]: Simplify (+ 0 1) into 1 2.886 * [backup-simplify]: Simplify (sqrt 1) into 1 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (+ 0 0) into 0 2.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.887 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.887 * [taylor]: Taking taylor expansion of re in im 2.887 * [backup-simplify]: Simplify re into re 2.887 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.888 * [backup-simplify]: Simplify (+ 1 0) into 1 2.888 * [backup-simplify]: Simplify (/ 1 1) into 1 2.888 * [backup-simplify]: Simplify (sqrt 0) into 0 2.889 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.889 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 2.889 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.889 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.889 * [taylor]: Taking taylor expansion of 2.0 in im 2.889 * [backup-simplify]: Simplify 2.0 into 2.0 2.889 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.890 * [taylor]: Taking taylor expansion of im in im 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.890 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 2.890 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 2.890 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 2.890 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.890 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.891 * [taylor]: Taking taylor expansion of re in im 2.891 * [backup-simplify]: Simplify re into re 2.891 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.891 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.891 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.891 * [taylor]: Taking taylor expansion of im in im 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (/ 1 1) into 1 2.891 * [backup-simplify]: Simplify (+ 0 1) into 1 2.892 * [backup-simplify]: Simplify (sqrt 1) into 1 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ 0 0) into 0 2.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.893 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.893 * [taylor]: Taking taylor expansion of re in im 2.893 * [backup-simplify]: Simplify re into re 2.893 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.894 * [backup-simplify]: Simplify (+ 1 0) into 1 2.894 * [backup-simplify]: Simplify (/ 1 1) into 1 2.894 * [backup-simplify]: Simplify (sqrt 0) into 0 2.895 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.895 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.895 * [taylor]: Taking taylor expansion of 0 in re 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.898 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.898 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.898 * [taylor]: Taking taylor expansion of +nan.0 in re 2.898 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.898 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.898 * [taylor]: Taking taylor expansion of 2.0 in re 2.898 * [backup-simplify]: Simplify 2.0 into 2.0 2.898 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.899 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.899 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.901 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.902 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.904 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.904 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.904 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.905 * [taylor]: Taking taylor expansion of +nan.0 in re 2.905 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.905 * [taylor]: Taking taylor expansion of 2.0 in re 2.905 * [backup-simplify]: Simplify 2.0 into 2.0 2.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.906 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.906 * [taylor]: Taking taylor expansion of +nan.0 in re 2.906 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.906 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.906 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.906 * [taylor]: Taking taylor expansion of 2.0 in re 2.906 * [backup-simplify]: Simplify 2.0 into 2.0 2.906 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.907 * [taylor]: Taking taylor expansion of re in re 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.909 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.911 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.913 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.916 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.917 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.918 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.920 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.921 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.921 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 2.924 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.925 * [backup-simplify]: Simplify (- 0) into 0 2.925 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.925 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 2.928 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 2.928 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 2.928 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.928 * [taylor]: Taking taylor expansion of +nan.0 in re 2.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.928 * [taylor]: Taking taylor expansion of 2.0 in re 2.928 * [backup-simplify]: Simplify 2.0 into 2.0 2.929 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.929 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 2.929 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 2.929 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.929 * [taylor]: Taking taylor expansion of +nan.0 in re 2.929 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.929 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.929 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.929 * [taylor]: Taking taylor expansion of 2.0 in re 2.929 * [backup-simplify]: Simplify 2.0 into 2.0 2.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.930 * [taylor]: Taking taylor expansion of re in re 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.931 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 2.931 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.931 * [taylor]: Taking taylor expansion of +nan.0 in re 2.931 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.931 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.931 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.931 * [taylor]: Taking taylor expansion of 2.0 in re 2.931 * [backup-simplify]: Simplify 2.0 into 2.0 2.931 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.932 * [taylor]: Taking taylor expansion of re in re 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (* 1 1) into 1 2.932 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.933 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.935 * [backup-simplify]: Simplify (- 0) into 0 2.936 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.938 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.940 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.942 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.943 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.948 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 2.949 * [backup-simplify]: Simplify (/ (sqrt (+ (* (* (/ 1 (- im)) (/ 1 (- im))) 2.0) 0)) (sqrt (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 2.949 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 2.949 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 2.949 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.949 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.949 * [taylor]: Taking taylor expansion of 2.0 in re 2.949 * [backup-simplify]: Simplify 2.0 into 2.0 2.950 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.957 * [taylor]: Taking taylor expansion of im in re 2.957 * [backup-simplify]: Simplify im into im 2.958 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.958 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 2.958 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 2.958 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.958 * [taylor]: Taking taylor expansion of re in re 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.959 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.959 * [taylor]: Taking taylor expansion of re in re 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (* 1 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.960 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.960 * [taylor]: Taking taylor expansion of im in re 2.960 * [backup-simplify]: Simplify im into im 2.960 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.960 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.961 * [backup-simplify]: Simplify (+ 1 0) into 1 2.961 * [backup-simplify]: Simplify (sqrt 1) into 1 2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (+ 0 0) into 0 2.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.964 * [backup-simplify]: Simplify (+ 1 1) into 2 2.965 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.965 * [backup-simplify]: Simplify (sqrt 0) into 0 2.967 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.967 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 2.967 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.967 * [taylor]: Taking taylor expansion of 2.0 in im 2.967 * [backup-simplify]: Simplify 2.0 into 2.0 2.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.968 * [taylor]: Taking taylor expansion of im in im 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify 1 into 1 2.969 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 2.969 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 2.969 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.969 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.969 * [taylor]: Taking taylor expansion of re in im 2.970 * [backup-simplify]: Simplify re into re 2.970 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.970 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.970 * [taylor]: Taking taylor expansion of re in im 2.970 * [backup-simplify]: Simplify re into re 2.970 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.970 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.970 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.970 * [taylor]: Taking taylor expansion of im in im 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (/ 1 1) into 1 2.971 * [backup-simplify]: Simplify (+ 0 1) into 1 2.972 * [backup-simplify]: Simplify (sqrt 1) into 1 2.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (+ 0 0) into 0 2.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 1) into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.976 * [backup-simplify]: Simplify (sqrt 0) into 0 2.977 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.977 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 2.977 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.977 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.977 * [taylor]: Taking taylor expansion of 2.0 in im 2.977 * [backup-simplify]: Simplify 2.0 into 2.0 2.978 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.979 * [taylor]: Taking taylor expansion of im in im 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.980 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 2.980 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 2.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.980 * [taylor]: Taking taylor expansion of re in im 2.980 * [backup-simplify]: Simplify re into re 2.980 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.980 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.980 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.980 * [taylor]: Taking taylor expansion of re in im 2.980 * [backup-simplify]: Simplify re into re 2.980 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.980 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.980 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.980 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.980 * [taylor]: Taking taylor expansion of im in im 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (* 1 1) into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.982 * [backup-simplify]: Simplify (+ 0 1) into 1 2.982 * [backup-simplify]: Simplify (sqrt 1) into 1 2.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.985 * [backup-simplify]: Simplify (+ 0 1) into 1 2.986 * [backup-simplify]: Simplify (/ 1 1) into 1 2.986 * [backup-simplify]: Simplify (sqrt 0) into 0 2.987 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.988 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.988 * [taylor]: Taking taylor expansion of 0 in re 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.992 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.992 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.992 * [taylor]: Taking taylor expansion of +nan.0 in re 2.992 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.992 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.992 * [taylor]: Taking taylor expansion of 2.0 in re 2.992 * [backup-simplify]: Simplify 2.0 into 2.0 2.992 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.994 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.996 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.997 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 3.000 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 3.001 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.004 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.004 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.004 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.004 * [taylor]: Taking taylor expansion of +nan.0 in re 3.004 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.004 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.004 * [taylor]: Taking taylor expansion of 2.0 in re 3.004 * [backup-simplify]: Simplify 2.0 into 2.0 3.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.006 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.006 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.006 * [taylor]: Taking taylor expansion of +nan.0 in re 3.006 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.006 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.006 * [taylor]: Taking taylor expansion of 2.0 in re 3.006 * [backup-simplify]: Simplify 2.0 into 2.0 3.006 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.008 * [taylor]: Taking taylor expansion of re in re 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.010 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.012 * [backup-simplify]: Simplify (- 0) into 0 3.014 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.016 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.018 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.019 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.020 * [backup-simplify]: Simplify (- 0) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.020 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 3.023 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.023 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.025 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.026 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.030 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 3.030 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 3.030 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 3.030 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.030 * [taylor]: Taking taylor expansion of +nan.0 in re 3.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.030 * [taylor]: Taking taylor expansion of 2.0 in re 3.031 * [backup-simplify]: Simplify 2.0 into 2.0 3.031 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.032 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 3.032 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 3.032 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.032 * [taylor]: Taking taylor expansion of +nan.0 in re 3.032 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.032 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.032 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.032 * [taylor]: Taking taylor expansion of 2.0 in re 3.032 * [backup-simplify]: Simplify 2.0 into 2.0 3.032 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.033 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.033 * [taylor]: Taking taylor expansion of re in re 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify 1 into 1 3.034 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.034 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 3.034 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.034 * [taylor]: Taking taylor expansion of +nan.0 in re 3.034 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.034 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.035 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.035 * [taylor]: Taking taylor expansion of 2.0 in re 3.035 * [backup-simplify]: Simplify 2.0 into 2.0 3.035 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.036 * [taylor]: Taking taylor expansion of re in re 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (* 1 1) into 1 3.037 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.038 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.040 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.047 * [backup-simplify]: Simplify (- 0) into 0 3.048 * [backup-simplify]: Simplify (+ 0 0) into 0 3.048 * [backup-simplify]: Simplify (- 0) into 0 3.050 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.052 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.054 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.059 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 3.059 * * * [progress]: simplifying candidates 3.059 * * * * [progress]: [ 1 / 147 ] simplifiying candidate # 3.059 * * * * [progress]: [ 2 / 147 ] simplifiying candidate # 3.059 * * * * [progress]: [ 3 / 147 ] simplifiying candidate # 3.059 * * * * [progress]: [ 4 / 147 ] simplifiying candidate # 3.059 * * * * [progress]: [ 5 / 147 ] simplifiying candidate # 3.059 * * * * [progress]: [ 6 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 7 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 8 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 9 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 10 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 11 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 12 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 13 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 14 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 15 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 16 / 147 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* (* im im) 2.0) 0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))> 3.060 * * * * [progress]: [ 17 / 147 ] simplifiying candidate # 3.060 * * * * [progress]: [ 18 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 19 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 20 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 21 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 22 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 23 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 24 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 25 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 26 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 27 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 28 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 29 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 30 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 31 / 147 ] simplifiying candidate # 3.061 * * * * [progress]: [ 32 / 147 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 3.062 * * * * [progress]: [ 33 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 34 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 35 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 36 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 37 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 38 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 39 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 40 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 41 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 42 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 43 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 44 / 147 ] simplifiying candidate # 3.062 * * * * [progress]: [ 45 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 46 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 47 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 48 / 147 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 3.063 * * * * [progress]: [ 49 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 50 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 51 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 52 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 53 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 54 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 55 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 56 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 57 / 147 ] simplifiying candidate # 3.063 * * * * [progress]: [ 58 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 59 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 60 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 61 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 62 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 63 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 64 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 65 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 66 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 67 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 68 / 147 ] simplifiying candidate # 3.064 * * * * [progress]: [ 69 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 70 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 71 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 72 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 73 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 74 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 75 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 76 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 77 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 78 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 79 / 147 ] simplifiying candidate # 3.065 * * * * [progress]: [ 80 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 81 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 82 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 83 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 84 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 85 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 86 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 87 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 88 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 89 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 90 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 91 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 92 / 147 ] simplifiying candidate # 3.066 * * * * [progress]: [ 93 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 94 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 95 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 96 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 97 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 98 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 99 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 100 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 101 / 147 ] simplifiying candidate # 3.067 * * * * [progress]: [ 102 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 103 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 104 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 105 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 106 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 107 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 108 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 109 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 110 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 111 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 112 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 113 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 114 / 147 ] simplifiying candidate # 3.068 * * * * [progress]: [ 115 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 116 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 117 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 118 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 119 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 120 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 121 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 122 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 123 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 124 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 125 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 126 / 147 ] simplifiying candidate # 3.069 * * * * [progress]: [ 127 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 128 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 129 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 130 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 131 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 132 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 133 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 134 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 135 / 147 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))))))> 3.070 * * * * [progress]: [ 136 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 137 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 138 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 139 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 140 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 141 / 147 ] simplifiying candidate # 3.070 * * * * [progress]: [ 142 / 147 ] simplifiying candidate # 3.071 * * * * [progress]: [ 143 / 147 ] simplifiying candidate # 3.071 * * * * [progress]: [ 144 / 147 ] simplifiying candidate # 3.071 * * * * [progress]: [ 145 / 147 ] simplifiying candidate # 3.071 * * * * [progress]: [ 146 / 147 ] simplifiying candidate # 3.071 * * * * [progress]: [ 147 / 147 ] simplifiying candidate # 3.075 * [simplify]: Simplifying: (log (sqrt (+ (* (* im im) 2.0) 0))) (exp (sqrt (+ (* (* im im) 2.0) 0))) (* (cbrt (sqrt (+ (* (* im im) 2.0) 0))) (cbrt (sqrt (+ (* (* im im) 2.0) 0)))) (cbrt (sqrt (+ (* (* im im) 2.0) 0))) (* (* (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (+ (* (* im im) 2.0) 0))) (sqrt (+ (* (* im im) 2.0) 0))) (sqrt (* (cbrt (+ (* (* im im) 2.0) 0)) (cbrt (+ (* (* im im) 2.0) 0)))) (sqrt (cbrt (+ (* (* im im) 2.0) 0))) (sqrt (sqrt (+ (* (* im im) 2.0) 0))) (sqrt (sqrt (+ (* (* im im) 2.0) 0))) (sqrt 1) (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (+ (pow (* (* im im) 2.0) 3) (pow 0 3))) (sqrt (+ (* (* (* im im) 2.0) (* (* im im) 2.0)) (- (* 0 0) (* (* (* im im) 2.0) 0)))) (sqrt (- (* (* (* im im) 2.0) (* (* im im) 2.0)) (* 0 0))) (sqrt (- (* (* im im) 2.0) 0)) (/ 1 2) (sqrt (sqrt (+ (* (* im im) 2.0) 0))) (sqrt (sqrt (+ (* (* im im) 2.0) 0))) (real->posit16 (sqrt (+ (* (* im im) 2.0) 0))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im 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2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (exp (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* (* (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (+ (* (* im im) 2.0) 0))) (sqrt (+ (* (* im im) 2.0) 0))) (* (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (+ (* (* im im) 2.0) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (+ (* (* im im) 2.0) 0) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (/ (sqrt (+ (* (* im im) 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im))) re)))) (sqrt (sqrt (* im (* im 2.0)))) (/ (sqrt (sqrt (* im (* im 2.0)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (/ 1 (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im (* im 2.0))) (cbrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (fabs (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im (* im 2.0))) (sqrt (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ 1 (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (* im (* im 2.0))) (sqrt (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) 1 (/ (sqrt (* im (* im 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im (* im 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ 1 (sqrt (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (sqrt (* im (* im 2.0))) (sqrt (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) 1 (/ (sqrt (* im (* 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re)))) (sqrt (* im (* im 2.0))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (sqrt (* im (* im 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (cbrt (* im (* im 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im (* im 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im (* im 2.0)))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (sqrt (* im (* im 2.0))))) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im (* im 2.0)))) (/ (sqrt (* im (* im 2.0))) (sqrt (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* re (* re re))))) (/ (sqrt (* im (* im 2.0))) (sqrt (+ (* im im) 0))) (* (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (fabs (* im (* im 2.0)))) (* (sqrt (* im (* im 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (real->posit16 (/ (sqrt (* im (* im 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt 2.0) im) (* (sqrt 2.0) im) (* im (- (sqrt 2.0))) im re (- re) (- im re) 0 (* -2 re) (- (- (/ (* (* im im) (* +nan.0 (sqrt 2.0))) (sqrt 2)) (* (* (sqrt 2) (- re (* re re))) (* +nan.0 (sqrt 2.0))))) (- (+ (- (/ (/ (* (sqrt 2.0) (* +nan.0 re)) im) im) (* +nan.0 (sqrt 2.0))) (/ (* (sqrt 2.0) (* +nan.0 re)) im))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))) 4.577 * * * [progress]: adding candidates to table 6.595 * * [progress]: iteration 3 / 4 6.595 * * * [progress]: picking best candidate 6.634 * * * * [pick]: Picked # 6.634 * * * [progress]: localizing error 6.683 * * * [progress]: generating rewritten candidates 6.683 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 6.695 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.771 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.812 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.864 * * * [progress]: generating series expansions 6.864 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 6.865 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 6.865 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 6.865 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.865 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.865 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.865 * [taylor]: Taking taylor expansion of im in im 6.865 * [backup-simplify]: Simplify 0 into 0 6.865 * [backup-simplify]: Simplify 1 into 1 6.865 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.865 * [taylor]: Taking taylor expansion of re in im 6.865 * [backup-simplify]: Simplify re into re 6.865 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.865 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.865 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.865 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.866 * [backup-simplify]: Simplify (+ 0 0) into 0 6.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.866 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.866 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.866 * [taylor]: Taking taylor expansion of im in re 6.866 * [backup-simplify]: Simplify im into im 6.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.867 * [taylor]: Taking taylor expansion of re in re 6.867 * [backup-simplify]: Simplify 0 into 0 6.867 * [backup-simplify]: Simplify 1 into 1 6.867 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.867 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.867 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.867 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.867 * [backup-simplify]: Simplify (+ 0 0) into 0 6.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.868 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.868 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.868 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.868 * [taylor]: Taking taylor expansion of im in re 6.868 * [backup-simplify]: Simplify im into im 6.868 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.868 * [taylor]: Taking taylor expansion of re in re 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.868 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.868 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.868 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.868 * [backup-simplify]: Simplify (+ 0 0) into 0 6.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.869 * [taylor]: Taking taylor expansion of im in im 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [taylor]: Taking taylor expansion of 0 in im 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify 1 into 1 6.870 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.870 * [backup-simplify]: Simplify (* 1 1) into 1 6.870 * [backup-simplify]: Simplify (+ 0 1) into 1 6.871 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.871 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.871 * [taylor]: Taking taylor expansion of 1/2 in im 6.871 * [backup-simplify]: Simplify 1/2 into 1/2 6.871 * [taylor]: Taking taylor expansion of im in im 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify 1 into 1 6.872 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.875 * [taylor]: Taking taylor expansion of 0 in im 6.875 * [backup-simplify]: Simplify 0 into 0 6.875 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.876 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.877 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.877 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.877 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.877 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.877 * [taylor]: Taking taylor expansion of re in im 6.877 * [backup-simplify]: Simplify re into re 6.877 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.877 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.877 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.877 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.877 * [taylor]: Taking taylor expansion of im in im 6.877 * [backup-simplify]: Simplify 0 into 0 6.877 * [backup-simplify]: Simplify 1 into 1 6.878 * [backup-simplify]: Simplify (* 1 1) into 1 6.878 * [backup-simplify]: Simplify (/ 1 1) into 1 6.879 * [backup-simplify]: Simplify (+ 0 1) into 1 6.879 * [backup-simplify]: Simplify (sqrt 1) into 1 6.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (+ 0 0) into 0 6.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.881 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.881 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.881 * [taylor]: Taking taylor expansion of re in re 6.881 * [backup-simplify]: Simplify 0 into 0 6.882 * [backup-simplify]: Simplify 1 into 1 6.882 * [backup-simplify]: Simplify (* 1 1) into 1 6.882 * [backup-simplify]: Simplify (/ 1 1) into 1 6.882 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.882 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.882 * [taylor]: Taking taylor expansion of im in re 6.882 * [backup-simplify]: Simplify im into im 6.882 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.882 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.882 * [backup-simplify]: Simplify (+ 1 0) into 1 6.883 * [backup-simplify]: Simplify (sqrt 1) into 1 6.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.884 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.884 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.884 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.884 * [taylor]: Taking taylor expansion of re in re 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (* 1 1) into 1 6.885 * [backup-simplify]: Simplify (/ 1 1) into 1 6.885 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.885 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.885 * [taylor]: Taking taylor expansion of im in re 6.885 * [backup-simplify]: Simplify im into im 6.885 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.885 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.885 * [backup-simplify]: Simplify (+ 1 0) into 1 6.886 * [backup-simplify]: Simplify (sqrt 1) into 1 6.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify (+ 0 0) into 0 6.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.887 * [taylor]: Taking taylor expansion of 1 in im 6.887 * [backup-simplify]: Simplify 1 into 1 6.887 * [taylor]: Taking taylor expansion of 0 in im 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.889 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.889 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.889 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.889 * [taylor]: Taking taylor expansion of 1/2 in im 6.889 * [backup-simplify]: Simplify 1/2 into 1/2 6.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.889 * [taylor]: Taking taylor expansion of im in im 6.889 * [backup-simplify]: Simplify 0 into 0 6.890 * [backup-simplify]: Simplify 1 into 1 6.890 * [backup-simplify]: Simplify (* 1 1) into 1 6.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.893 * [backup-simplify]: Simplify (+ 0 0) into 0 6.893 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.893 * [taylor]: Taking taylor expansion of 0 in im 6.893 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.895 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 6.895 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 6.895 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.895 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.895 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.895 * [taylor]: Taking taylor expansion of re in im 6.895 * [backup-simplify]: Simplify re into re 6.895 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.895 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.895 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.895 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.895 * [taylor]: Taking taylor expansion of im in im 6.895 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify 1 into 1 6.895 * [backup-simplify]: Simplify (* 1 1) into 1 6.896 * [backup-simplify]: Simplify (/ 1 1) into 1 6.896 * [backup-simplify]: Simplify (+ 0 1) into 1 6.896 * [backup-simplify]: Simplify (sqrt 1) into 1 6.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.897 * [backup-simplify]: Simplify (+ 0 0) into 0 6.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.898 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.898 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.898 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.898 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.898 * [taylor]: Taking taylor expansion of re in re 6.898 * [backup-simplify]: Simplify 0 into 0 6.898 * [backup-simplify]: Simplify 1 into 1 6.898 * [backup-simplify]: Simplify (* 1 1) into 1 6.898 * [backup-simplify]: Simplify (/ 1 1) into 1 6.898 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.898 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.898 * [taylor]: Taking taylor expansion of im in re 6.898 * [backup-simplify]: Simplify im into im 6.898 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.898 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.899 * [backup-simplify]: Simplify (+ 1 0) into 1 6.899 * [backup-simplify]: Simplify (sqrt 1) into 1 6.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.900 * [backup-simplify]: Simplify (+ 0 0) into 0 6.900 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.901 * [taylor]: Taking taylor expansion of re in re 6.901 * [backup-simplify]: Simplify 0 into 0 6.901 * [backup-simplify]: Simplify 1 into 1 6.901 * [backup-simplify]: Simplify (* 1 1) into 1 6.901 * [backup-simplify]: Simplify (/ 1 1) into 1 6.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.901 * [taylor]: Taking taylor expansion of im in re 6.901 * [backup-simplify]: Simplify im into im 6.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.902 * [backup-simplify]: Simplify (+ 1 0) into 1 6.902 * [backup-simplify]: Simplify (sqrt 1) into 1 6.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.903 * [backup-simplify]: Simplify (+ 0 0) into 0 6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.903 * [taylor]: Taking taylor expansion of 1 in im 6.903 * [backup-simplify]: Simplify 1 into 1 6.903 * [taylor]: Taking taylor expansion of 0 in im 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify 1 into 1 6.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.905 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.905 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.906 * [taylor]: Taking taylor expansion of 1/2 in im 6.906 * [backup-simplify]: Simplify 1/2 into 1/2 6.906 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.906 * [taylor]: Taking taylor expansion of im in im 6.906 * [backup-simplify]: Simplify 0 into 0 6.906 * [backup-simplify]: Simplify 1 into 1 6.906 * [backup-simplify]: Simplify (* 1 1) into 1 6.906 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.908 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.909 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.909 * [taylor]: Taking taylor expansion of 0 in im 6.909 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.911 * [backup-simplify]: Simplify (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)) into (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) 6.911 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (im re) around 0 6.911 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 6.911 * [taylor]: Taking taylor expansion of 2.0 in re 6.911 * [backup-simplify]: Simplify 2.0 into 2.0 6.911 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 6.911 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.911 * [taylor]: Taking taylor expansion of im in re 6.911 * [backup-simplify]: Simplify im into im 6.911 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 6.911 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 6.911 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 6.911 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.911 * [taylor]: Taking taylor expansion of im in re 6.911 * [backup-simplify]: Simplify im into im 6.911 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.911 * [taylor]: Taking taylor expansion of re in re 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.911 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 6.911 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.911 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.911 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.912 * [taylor]: Taking taylor expansion of re in re 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.912 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.912 * [backup-simplify]: Simplify (- 0) into 0 6.912 * [backup-simplify]: Simplify (+ im 0) into im 6.912 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 6.912 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 6.912 * [taylor]: Taking taylor expansion of 2.0 in im 6.912 * [backup-simplify]: Simplify 2.0 into 2.0 6.912 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 6.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.912 * [taylor]: Taking taylor expansion of im in im 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.912 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 6.912 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.912 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.912 * [taylor]: Taking taylor expansion of im in im 6.912 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify 1 into 1 6.912 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.912 * [taylor]: Taking taylor expansion of re in im 6.912 * [backup-simplify]: Simplify re into re 6.912 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.912 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.912 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.912 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.913 * [taylor]: Taking taylor expansion of re in im 6.913 * [backup-simplify]: Simplify re into re 6.913 * [backup-simplify]: Simplify (* 1 1) into 1 6.913 * [backup-simplify]: Simplify (- re) into (- re) 6.913 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.913 * [backup-simplify]: Simplify (- 0) into 0 6.914 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify (* 1 1) into 1 6.914 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.914 * [backup-simplify]: Simplify (+ 1 0) into 1 6.915 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.915 * [backup-simplify]: Simplify (- 0) into 0 6.915 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.915 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 6.915 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 6.915 * [taylor]: Taking taylor expansion of 2.0 in im 6.915 * [backup-simplify]: Simplify 2.0 into 2.0 6.915 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 6.915 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.915 * [taylor]: Taking taylor expansion of im in im 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 6.915 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 6.915 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 6.916 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.916 * [taylor]: Taking taylor expansion of im in im 6.916 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify 1 into 1 6.916 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.916 * [taylor]: Taking taylor expansion of re in im 6.916 * [backup-simplify]: Simplify re into re 6.916 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.916 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 6.916 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.916 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.916 * [backup-simplify]: Simplify (+ 0 0) into 0 6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.916 * [taylor]: Taking taylor expansion of re in im 6.916 * [backup-simplify]: Simplify re into re 6.916 * [backup-simplify]: Simplify (* 1 1) into 1 6.916 * [backup-simplify]: Simplify (- re) into (- re) 6.916 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.917 * [backup-simplify]: Simplify (- 0) into 0 6.917 * [backup-simplify]: Simplify (+ 0 0) into 0 6.917 * [backup-simplify]: Simplify (* 1 1) into 1 6.918 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.918 * [backup-simplify]: Simplify (+ 1 0) into 1 6.919 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.919 * [backup-simplify]: Simplify (- 0) into 0 6.919 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.919 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 6.919 * [backup-simplify]: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) 6.919 * [taylor]: Taking taylor expansion of (* 4.0 re) in re 6.920 * [taylor]: Taking taylor expansion of 4.0 in re 6.920 * [backup-simplify]: Simplify 4.0 into 4.0 6.920 * [taylor]: Taking taylor expansion of re in re 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.920 * [backup-simplify]: Simplify (* 4.0 0) into 0 6.920 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.922 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.922 * [backup-simplify]: Simplify (+ 0 0) into 0 6.922 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.923 * [backup-simplify]: Simplify (- 0) into 0 6.923 * [backup-simplify]: Simplify (+ 0 0) into 0 6.923 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0 6.924 * [taylor]: Taking taylor expansion of 0 in re 6.924 * [backup-simplify]: Simplify 0 into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 6.925 * [backup-simplify]: Simplify 4.0 into 4.0 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.927 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 6.927 * [backup-simplify]: Simplify (+ 0 0) into 0 6.928 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 6.928 * [backup-simplify]: Simplify (- 0) into 0 6.928 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 6.928 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 6.929 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re)))) into (* 1.0 (/ 1 re)) 6.929 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 re)) in re 6.929 * [taylor]: Taking taylor expansion of 1.0 in re 6.929 * [backup-simplify]: Simplify 1.0 into 1.0 6.929 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.929 * [taylor]: Taking taylor expansion of re in re 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [backup-simplify]: Simplify (/ 1 1) into 1 6.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.930 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.936 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.937 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 6.937 * [backup-simplify]: Simplify (- 0) into 0 6.938 * [backup-simplify]: Simplify (+ 0 0) into 0 6.938 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.939 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re))))) into 0 6.939 * [taylor]: Taking taylor expansion of 0 in re 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.940 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify 0 into 0 6.940 * [backup-simplify]: Simplify (* 4.0 (* re 1)) into (* 4.0 re) 6.940 * [backup-simplify]: Simplify (/ (* (/ 1 im) (* (/ 1 im) 2.0)) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 6.941 * [approximate]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 6.941 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 6.941 * [taylor]: Taking taylor expansion of 2.0 in re 6.941 * [backup-simplify]: Simplify 2.0 into 2.0 6.941 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 6.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.941 * [taylor]: Taking taylor expansion of im in re 6.941 * [backup-simplify]: Simplify im into im 6.941 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 6.941 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.941 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.941 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.941 * [taylor]: Taking taylor expansion of re in re 6.941 * [backup-simplify]: Simplify 0 into 0 6.941 * [backup-simplify]: Simplify 1 into 1 6.941 * [backup-simplify]: Simplify (* 1 1) into 1 6.941 * [backup-simplify]: Simplify (/ 1 1) into 1 6.941 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.941 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.941 * [taylor]: Taking taylor expansion of im in re 6.941 * [backup-simplify]: Simplify im into im 6.941 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.942 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.942 * [backup-simplify]: Simplify (+ 1 0) into 1 6.942 * [backup-simplify]: Simplify (sqrt 1) into 1 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.944 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.944 * [taylor]: Taking taylor expansion of re in re 6.944 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify 1 into 1 6.944 * [backup-simplify]: Simplify (/ 1 1) into 1 6.944 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.944 * [backup-simplify]: Simplify (- 1) into -1 6.944 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.945 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 6.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (- 0) into 0 6.946 * [backup-simplify]: Simplify (+ 0 0) into 0 6.946 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.946 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 6.948 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.949 * [backup-simplify]: Simplify (- 0) into 0 6.949 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.949 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.949 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 6.950 * [backup-simplify]: Simplify (/ 2.0 1/2) into 4.0 6.950 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 6.950 * [taylor]: Taking taylor expansion of 2.0 in im 6.950 * [backup-simplify]: Simplify 2.0 into 2.0 6.950 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 6.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.950 * [taylor]: Taking taylor expansion of im in im 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 6.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.950 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.950 * [taylor]: Taking taylor expansion of re in im 6.950 * [backup-simplify]: Simplify re into re 6.950 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.950 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.950 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.950 * [taylor]: Taking taylor expansion of im in im 6.950 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify 1 into 1 6.950 * [backup-simplify]: Simplify (* 1 1) into 1 6.951 * [backup-simplify]: Simplify (/ 1 1) into 1 6.951 * [backup-simplify]: Simplify (+ 0 1) into 1 6.951 * [backup-simplify]: Simplify (sqrt 1) into 1 6.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.953 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.953 * [taylor]: Taking taylor expansion of re in im 6.953 * [backup-simplify]: Simplify re into re 6.953 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.953 * [backup-simplify]: Simplify (* 1 1) into 1 6.954 * [backup-simplify]: Simplify (+ 1 0) into 1 6.954 * [backup-simplify]: Simplify (* 1 1) into 1 6.954 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 6.954 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 6.954 * [taylor]: Taking taylor expansion of 2.0 in im 6.954 * [backup-simplify]: Simplify 2.0 into 2.0 6.954 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 6.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.954 * [taylor]: Taking taylor expansion of im in im 6.954 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify 1 into 1 6.954 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 6.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.954 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.954 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.954 * [taylor]: Taking taylor expansion of re in im 6.954 * [backup-simplify]: Simplify re into re 6.954 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.954 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.954 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.954 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.954 * [taylor]: Taking taylor expansion of im in im 6.954 * [backup-simplify]: Simplify 0 into 0 6.954 * [backup-simplify]: Simplify 1 into 1 6.955 * [backup-simplify]: Simplify (* 1 1) into 1 6.955 * [backup-simplify]: Simplify (/ 1 1) into 1 6.955 * [backup-simplify]: Simplify (+ 0 1) into 1 6.956 * [backup-simplify]: Simplify (sqrt 1) into 1 6.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.958 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.958 * [taylor]: Taking taylor expansion of re in im 6.958 * [backup-simplify]: Simplify re into re 6.958 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.958 * [backup-simplify]: Simplify (* 1 1) into 1 6.959 * [backup-simplify]: Simplify (+ 1 0) into 1 6.959 * [backup-simplify]: Simplify (* 1 1) into 1 6.959 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 6.960 * [taylor]: Taking taylor expansion of 2.0 in re 6.960 * [backup-simplify]: Simplify 2.0 into 2.0 6.960 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 6.960 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 6.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.961 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 6.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (- (/ 1 re)) 1)))) into (* 2.0 (/ 1 re)) 6.962 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 6.962 * [taylor]: Taking taylor expansion of 2.0 in re 6.962 * [backup-simplify]: Simplify 2.0 into 2.0 6.962 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.962 * [taylor]: Taking taylor expansion of re in re 6.962 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify 1 into 1 6.962 * [backup-simplify]: Simplify (/ 1 1) into 1 6.963 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 6.963 * [backup-simplify]: Simplify 2.0 into 2.0 6.963 * [backup-simplify]: Simplify 2.0 into 2.0 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.965 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 6.966 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.967 * [backup-simplify]: Simplify (- 0) into 0 6.967 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 6.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.968 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 6.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 2.0 (/ 1 re)) (/ (- (/ 1 re)) 1)))) into (* 1.0 (/ 1 (pow re 2))) 6.969 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 6.969 * [taylor]: Taking taylor expansion of 1.0 in re 6.969 * [backup-simplify]: Simplify 1.0 into 1.0 6.969 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.969 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.969 * [taylor]: Taking taylor expansion of re in re 6.969 * [backup-simplify]: Simplify 0 into 0 6.969 * [backup-simplify]: Simplify 1 into 1 6.970 * [backup-simplify]: Simplify (* 1 1) into 1 6.970 * [backup-simplify]: Simplify (/ 1 1) into 1 6.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.973 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.974 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.977 * [backup-simplify]: Simplify (+ 0 0) into 0 6.978 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 6.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.978 * [backup-simplify]: Simplify (- 0) into 0 6.979 * [backup-simplify]: Simplify (+ 0 0) into 0 6.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 6.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* (* 2.0 (/ 1 re)) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1.0 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 6.982 * [taylor]: Taking taylor expansion of 0 in re 6.982 * [backup-simplify]: Simplify 0 into 0 6.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.985 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.985 * [backup-simplify]: Simplify 0 into 0 6.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.987 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify 0 into 0 6.987 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 im)))) (* 2.0 (* (/ 1 (/ 1 re)) 1))) into (+ (* 2.0 re) (* 2.0 im)) 6.988 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (* (/ 1 (- im)) 2.0)) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 6.988 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 6.988 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 6.988 * [taylor]: Taking taylor expansion of 2.0 in re 6.988 * [backup-simplify]: Simplify 2.0 into 2.0 6.988 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 6.988 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 6.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.988 * [taylor]: Taking taylor expansion of re in re 6.988 * [backup-simplify]: Simplify 0 into 0 6.988 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (/ 1 1) into 1 6.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 6.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 6.989 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.989 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.989 * [taylor]: Taking taylor expansion of re in re 6.989 * [backup-simplify]: Simplify 0 into 0 6.989 * [backup-simplify]: Simplify 1 into 1 6.989 * [backup-simplify]: Simplify (* 1 1) into 1 6.990 * [backup-simplify]: Simplify (/ 1 1) into 1 6.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.990 * [taylor]: Taking taylor expansion of im in re 6.990 * [backup-simplify]: Simplify im into im 6.990 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.990 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.991 * [backup-simplify]: Simplify (+ 1 0) into 1 6.991 * [backup-simplify]: Simplify (sqrt 1) into 1 6.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.993 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.994 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.994 * [taylor]: Taking taylor expansion of im in re 6.994 * [backup-simplify]: Simplify im into im 6.994 * [backup-simplify]: Simplify (+ 1 1) into 2 6.994 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.994 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 6.994 * [backup-simplify]: Simplify (/ 2.0 (* 2 (pow im 2))) into (/ 1.0 (pow im 2)) 6.994 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 6.994 * [taylor]: Taking taylor expansion of 2.0 in im 6.995 * [backup-simplify]: Simplify 2.0 into 2.0 6.995 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 6.995 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 6.995 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.995 * [taylor]: Taking taylor expansion of re in im 6.995 * [backup-simplify]: Simplify re into re 6.995 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 6.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 6.995 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.995 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.995 * [taylor]: Taking taylor expansion of re in im 6.995 * [backup-simplify]: Simplify re into re 6.995 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.995 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.995 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.995 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.995 * [taylor]: Taking taylor expansion of im in im 6.995 * [backup-simplify]: Simplify 0 into 0 6.995 * [backup-simplify]: Simplify 1 into 1 6.996 * [backup-simplify]: Simplify (* 1 1) into 1 6.996 * [backup-simplify]: Simplify (/ 1 1) into 1 6.996 * [backup-simplify]: Simplify (+ 0 1) into 1 6.997 * [backup-simplify]: Simplify (sqrt 1) into 1 6.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.999 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.999 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.999 * [taylor]: Taking taylor expansion of im in im 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 7.000 * [backup-simplify]: Simplify (+ 0 1) into 1 7.000 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (* 1 1) into 1 7.001 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 7.001 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 7.001 * [taylor]: Taking taylor expansion of 2.0 in im 7.001 * [backup-simplify]: Simplify 2.0 into 2.0 7.001 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.001 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.001 * [taylor]: Taking taylor expansion of re in im 7.001 * [backup-simplify]: Simplify re into re 7.001 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.001 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.001 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.002 * [taylor]: Taking taylor expansion of re in im 7.002 * [backup-simplify]: Simplify re into re 7.002 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.002 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.002 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.002 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.002 * [taylor]: Taking taylor expansion of im in im 7.002 * [backup-simplify]: Simplify 0 into 0 7.002 * [backup-simplify]: Simplify 1 into 1 7.002 * [backup-simplify]: Simplify (* 1 1) into 1 7.003 * [backup-simplify]: Simplify (/ 1 1) into 1 7.003 * [backup-simplify]: Simplify (+ 0 1) into 1 7.003 * [backup-simplify]: Simplify (sqrt 1) into 1 7.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.005 * [backup-simplify]: Simplify (+ 0 0) into 0 7.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.006 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.006 * [taylor]: Taking taylor expansion of im in im 7.006 * [backup-simplify]: Simplify 0 into 0 7.006 * [backup-simplify]: Simplify 1 into 1 7.006 * [backup-simplify]: Simplify (+ 0 1) into 1 7.007 * [backup-simplify]: Simplify (* 1 1) into 1 7.007 * [backup-simplify]: Simplify (* 1 1) into 1 7.008 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 7.008 * [taylor]: Taking taylor expansion of 2.0 in re 7.008 * [backup-simplify]: Simplify 2.0 into 2.0 7.008 * [backup-simplify]: Simplify 0 into 0 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.009 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 7.009 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 7.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (/ 1 re) 1)))) into (- (* 2.0 (/ 1 re))) 7.009 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 7.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 7.010 * [taylor]: Taking taylor expansion of 2.0 in re 7.010 * [backup-simplify]: Simplify 2.0 into 2.0 7.010 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.010 * [taylor]: Taking taylor expansion of re in re 7.010 * [backup-simplify]: Simplify 0 into 0 7.010 * [backup-simplify]: Simplify 1 into 1 7.010 * [backup-simplify]: Simplify (/ 1 1) into 1 7.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 7.012 * [backup-simplify]: Simplify (- 0) into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.014 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.014 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.014 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 7.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 7.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (* 2.0 (/ 1 re))) (/ (/ 1 re) 1)))) into (* 1.0 (/ 1 (pow re 2))) 7.015 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 7.015 * [taylor]: Taking taylor expansion of 1.0 in re 7.015 * [backup-simplify]: Simplify 1.0 into 1.0 7.015 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.015 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.015 * [taylor]: Taking taylor expansion of re in re 7.015 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify 1 into 1 7.016 * [backup-simplify]: Simplify (* 1 1) into 1 7.016 * [backup-simplify]: Simplify (/ 1 1) into 1 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.020 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.020 * [backup-simplify]: Simplify 0 into 0 7.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.021 * [backup-simplify]: Simplify (- 0) into 0 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 7.022 * [backup-simplify]: Simplify (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 7.022 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 7.022 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 7.022 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 7.022 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.022 * [taylor]: Taking taylor expansion of 2.0 in re 7.022 * [backup-simplify]: Simplify 2.0 into 2.0 7.022 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.022 * [taylor]: Taking taylor expansion of im in re 7.022 * [backup-simplify]: Simplify im into im 7.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 7.022 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 7.022 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 7.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.022 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.022 * [taylor]: Taking taylor expansion of im in re 7.023 * [backup-simplify]: Simplify im into im 7.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.023 * [taylor]: Taking taylor expansion of re in re 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.023 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.023 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.023 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.023 * [backup-simplify]: Simplify (+ 0 0) into 0 7.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.023 * [taylor]: Taking taylor expansion of re in re 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (- 0) into 0 7.024 * [backup-simplify]: Simplify (+ im 0) into im 7.024 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 7.024 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 7.024 * [backup-simplify]: Simplify (- 1) into -1 7.024 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 7.024 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 7.024 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 7.024 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.024 * [taylor]: Taking taylor expansion of 2.0 in im 7.024 * [backup-simplify]: Simplify 2.0 into 2.0 7.025 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.025 * [taylor]: Taking taylor expansion of im in im 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 1 into 1 7.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 7.025 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 7.025 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 7.025 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.025 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.025 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.025 * [taylor]: Taking taylor expansion of im in im 7.025 * [backup-simplify]: Simplify 0 into 0 7.025 * [backup-simplify]: Simplify 1 into 1 7.025 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.025 * [taylor]: Taking taylor expansion of re in im 7.025 * [backup-simplify]: Simplify re into re 7.025 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.025 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.026 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.026 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.026 * [backup-simplify]: Simplify (+ 0 0) into 0 7.026 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.026 * [taylor]: Taking taylor expansion of re in im 7.026 * [backup-simplify]: Simplify re into re 7.026 * [backup-simplify]: Simplify (- re) into (- re) 7.026 * [backup-simplify]: Simplify (+ re (- re)) into 0 7.026 * [backup-simplify]: Simplify (- 0) into 0 7.026 * [backup-simplify]: Simplify (+ 0 0) into 0 7.027 * [backup-simplify]: Simplify (* 1 1) into 1 7.027 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.027 * [backup-simplify]: Simplify (+ 1 0) into 1 7.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.028 * [backup-simplify]: Simplify (- 0) into 0 7.028 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 7.028 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 7.028 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 7.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.029 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.029 * [backup-simplify]: Simplify (+ 0 0) into 0 7.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.030 * [backup-simplify]: Simplify (- 0) into 0 7.030 * [backup-simplify]: Simplify (+ 0 0) into 0 7.030 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 7.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 7.030 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 7.030 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 7.030 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.030 * [taylor]: Taking taylor expansion of 2.0 in im 7.030 * [backup-simplify]: Simplify 2.0 into 2.0 7.030 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.031 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.031 * [taylor]: Taking taylor expansion of im in im 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 7.031 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 7.031 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 7.031 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.031 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.031 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.031 * [taylor]: Taking taylor expansion of im in im 7.031 * [backup-simplify]: Simplify 0 into 0 7.031 * [backup-simplify]: Simplify 1 into 1 7.031 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.031 * [taylor]: Taking taylor expansion of re in im 7.031 * [backup-simplify]: Simplify re into re 7.031 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.031 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.031 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.031 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.031 * [backup-simplify]: Simplify (+ 0 0) into 0 7.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.032 * [taylor]: Taking taylor expansion of re in im 7.032 * [backup-simplify]: Simplify re into re 7.032 * [backup-simplify]: Simplify (- re) into (- re) 7.032 * [backup-simplify]: Simplify (+ re (- re)) into 0 7.032 * [backup-simplify]: Simplify (- 0) into 0 7.032 * [backup-simplify]: Simplify (+ 0 0) into 0 7.032 * [backup-simplify]: Simplify (* 1 1) into 1 7.033 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 7.033 * [backup-simplify]: Simplify (+ 1 0) into 1 7.033 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 7.034 * [backup-simplify]: Simplify (- 0) into 0 7.034 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 7.034 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 7.034 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 7.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.035 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.035 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 7.035 * [backup-simplify]: Simplify (- 0) into 0 7.035 * [backup-simplify]: Simplify (+ 0 0) into 0 7.036 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 7.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 7.036 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.036 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 7.036 * [taylor]: Taking taylor expansion of 0 in re 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 0 into 0 7.038 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 7.038 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 7.038 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 7.038 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 7.038 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.038 * [taylor]: Taking taylor expansion of 2.0 in re 7.038 * [backup-simplify]: Simplify 2.0 into 2.0 7.039 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.039 * [taylor]: Taking taylor expansion of (sqrt 2) in re 7.039 * [taylor]: Taking taylor expansion of 2 in re 7.039 * [backup-simplify]: Simplify 2 into 2 7.039 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.040 * [taylor]: Taking taylor expansion of (sqrt re) in re 7.040 * [taylor]: Taking taylor expansion of re in re 7.040 * [backup-simplify]: Simplify 0 into 0 7.040 * [backup-simplify]: Simplify 1 into 1 7.040 * [backup-simplify]: Simplify (sqrt 0) into 0 7.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.042 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 7.043 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify 0 into 0 7.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.044 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 7.044 * [backup-simplify]: Simplify (+ 0 0) into 0 7.045 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 7.045 * [backup-simplify]: Simplify (- 0) into 0 7.045 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 7.045 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 7.052 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 7.053 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.054 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 7.057 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 7.057 * [taylor]: Taking taylor expansion of 0 in re 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 0 into 0 7.058 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 7.062 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 7.065 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 7.065 * [backup-simplify]: Simplify 0 into 0 7.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.068 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 7.068 * [backup-simplify]: Simplify (+ 0 0) into 0 7.069 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 7.069 * [backup-simplify]: Simplify (- 0) into 0 7.069 * [backup-simplify]: Simplify (+ 0 0) into 0 7.070 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 7.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 7.073 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.074 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 7.077 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 7.077 * [taylor]: Taking taylor expansion of 1/4 in re 7.077 * [backup-simplify]: Simplify 1/4 into 1/4 7.077 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 7.077 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 7.077 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.077 * [taylor]: Taking taylor expansion of 2.0 in re 7.077 * [backup-simplify]: Simplify 2.0 into 2.0 7.078 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.079 * [taylor]: Taking taylor expansion of (sqrt 2) in re 7.079 * [taylor]: Taking taylor expansion of 2 in re 7.079 * [backup-simplify]: Simplify 2 into 2 7.079 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.081 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 7.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 7.081 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 7.081 * [taylor]: Taking taylor expansion of (pow re 3) in re 7.081 * [taylor]: Taking taylor expansion of re in re 7.081 * [backup-simplify]: Simplify 0 into 0 7.081 * [backup-simplify]: Simplify 1 into 1 7.082 * [backup-simplify]: Simplify (* 1 1) into 1 7.082 * [backup-simplify]: Simplify (* 1 1) into 1 7.083 * [backup-simplify]: Simplify (/ 1 1) into 1 7.083 * [backup-simplify]: Simplify (sqrt 0) into 0 7.084 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.091 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 7.093 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.094 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.095 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 7.100 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 7.103 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 7.103 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 7.108 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 7.110 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 7.110 * [backup-simplify]: Simplify 0 into 0 7.112 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.113 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.114 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.114 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 7.117 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 7.119 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 7.125 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 7.125 * [backup-simplify]: Simplify (sqrt (/ (* (/ 1 im) (* (/ 1 im) 2.0)) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 7.125 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 7.125 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 7.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 7.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.125 * [taylor]: Taking taylor expansion of 2.0 in re 7.125 * [backup-simplify]: Simplify 2.0 into 2.0 7.126 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.126 * [taylor]: Taking taylor expansion of im in re 7.126 * [backup-simplify]: Simplify im into im 7.126 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 7.126 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 7.126 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 7.126 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.127 * [taylor]: Taking taylor expansion of re in re 7.127 * [backup-simplify]: Simplify 0 into 0 7.127 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (* 1 1) into 1 7.127 * [backup-simplify]: Simplify (/ 1 1) into 1 7.127 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.127 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.127 * [taylor]: Taking taylor expansion of im in re 7.127 * [backup-simplify]: Simplify im into im 7.127 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.127 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.128 * [backup-simplify]: Simplify (+ 1 0) into 1 7.128 * [backup-simplify]: Simplify (sqrt 1) into 1 7.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.129 * [backup-simplify]: Simplify (+ 0 0) into 0 7.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.130 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.130 * [taylor]: Taking taylor expansion of re in re 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.131 * [backup-simplify]: Simplify (/ 1 1) into 1 7.131 * [backup-simplify]: Simplify (- 1) into -1 7.132 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.133 * [backup-simplify]: Simplify (- 0) into 0 7.133 * [backup-simplify]: Simplify (+ 0 0) into 0 7.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.135 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.137 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.138 * [backup-simplify]: Simplify (- 0) into 0 7.138 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.138 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 7.139 * [backup-simplify]: Simplify (sqrt 0) into 0 7.139 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 7.139 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 7.139 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.140 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.140 * [taylor]: Taking taylor expansion of 2.0 in im 7.140 * [backup-simplify]: Simplify 2.0 into 2.0 7.140 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.141 * [taylor]: Taking taylor expansion of im in im 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.142 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.142 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 7.142 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 7.142 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.142 * [taylor]: Taking taylor expansion of re in im 7.142 * [backup-simplify]: Simplify re into re 7.142 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.142 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.142 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.142 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.142 * [taylor]: Taking taylor expansion of im in im 7.142 * [backup-simplify]: Simplify 0 into 0 7.142 * [backup-simplify]: Simplify 1 into 1 7.143 * [backup-simplify]: Simplify (* 1 1) into 1 7.143 * [backup-simplify]: Simplify (/ 1 1) into 1 7.143 * [backup-simplify]: Simplify (+ 0 1) into 1 7.144 * [backup-simplify]: Simplify (sqrt 1) into 1 7.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.146 * [backup-simplify]: Simplify (+ 0 0) into 0 7.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.147 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.147 * [taylor]: Taking taylor expansion of re in im 7.147 * [backup-simplify]: Simplify re into re 7.147 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.147 * [backup-simplify]: Simplify (+ 1 0) into 1 7.147 * [backup-simplify]: Simplify (/ 1 1) into 1 7.148 * [backup-simplify]: Simplify (sqrt 0) into 0 7.149 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.149 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 7.149 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.149 * [taylor]: Taking taylor expansion of 2.0 in im 7.149 * [backup-simplify]: Simplify 2.0 into 2.0 7.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.151 * [taylor]: Taking taylor expansion of im in im 7.151 * [backup-simplify]: Simplify 0 into 0 7.151 * [backup-simplify]: Simplify 1 into 1 7.152 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.152 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 7.152 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 7.152 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.152 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.152 * [taylor]: Taking taylor expansion of re in im 7.152 * [backup-simplify]: Simplify re into re 7.152 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.152 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.152 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.152 * [taylor]: Taking taylor expansion of im in im 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 1 into 1 7.153 * [backup-simplify]: Simplify (* 1 1) into 1 7.153 * [backup-simplify]: Simplify (/ 1 1) into 1 7.154 * [backup-simplify]: Simplify (+ 0 1) into 1 7.154 * [backup-simplify]: Simplify (sqrt 1) into 1 7.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.156 * [backup-simplify]: Simplify (+ 0 0) into 0 7.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.156 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.157 * [taylor]: Taking taylor expansion of re in im 7.157 * [backup-simplify]: Simplify re into re 7.157 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.157 * [backup-simplify]: Simplify (+ 1 0) into 1 7.157 * [backup-simplify]: Simplify (/ 1 1) into 1 7.158 * [backup-simplify]: Simplify (sqrt 0) into 0 7.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.160 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.160 * [taylor]: Taking taylor expansion of 0 in re 7.160 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.163 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 7.163 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.163 * [taylor]: Taking taylor expansion of +nan.0 in re 7.163 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.163 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.163 * [taylor]: Taking taylor expansion of 2.0 in re 7.163 * [backup-simplify]: Simplify 2.0 into 2.0 7.164 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.164 * [backup-simplify]: Simplify 0 into 0 7.165 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 7.165 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 7.166 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 7.167 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.170 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.170 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.170 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.170 * [taylor]: Taking taylor expansion of +nan.0 in re 7.170 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.170 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.170 * [taylor]: Taking taylor expansion of 2.0 in re 7.170 * [backup-simplify]: Simplify 2.0 into 2.0 7.170 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.171 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.171 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.171 * [taylor]: Taking taylor expansion of +nan.0 in re 7.171 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.171 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.171 * [taylor]: Taking taylor expansion of 2.0 in re 7.171 * [backup-simplify]: Simplify 2.0 into 2.0 7.172 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.172 * [taylor]: Taking taylor expansion of re in re 7.172 * [backup-simplify]: Simplify 0 into 0 7.172 * [backup-simplify]: Simplify 1 into 1 7.173 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.174 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.181 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.183 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.184 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.185 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.186 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.187 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.188 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.188 * [backup-simplify]: Simplify 0 into 0 7.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.189 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.190 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.190 * [backup-simplify]: Simplify (- 0) into 0 7.190 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 7.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.191 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 7.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.193 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 7.193 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 7.193 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 7.193 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.193 * [taylor]: Taking taylor expansion of +nan.0 in re 7.193 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.194 * [taylor]: Taking taylor expansion of 2.0 in re 7.194 * [backup-simplify]: Simplify 2.0 into 2.0 7.194 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.194 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 7.194 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 7.194 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.194 * [taylor]: Taking taylor expansion of +nan.0 in re 7.194 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.194 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.194 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.194 * [taylor]: Taking taylor expansion of 2.0 in re 7.194 * [backup-simplify]: Simplify 2.0 into 2.0 7.195 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.195 * [taylor]: Taking taylor expansion of re in re 7.195 * [backup-simplify]: Simplify 0 into 0 7.195 * [backup-simplify]: Simplify 1 into 1 7.196 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.196 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 7.196 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 7.196 * [taylor]: Taking taylor expansion of +nan.0 in re 7.196 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.196 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 7.196 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.196 * [taylor]: Taking taylor expansion of 2.0 in re 7.196 * [backup-simplify]: Simplify 2.0 into 2.0 7.196 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.197 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.197 * [taylor]: Taking taylor expansion of re in re 7.197 * [backup-simplify]: Simplify 0 into 0 7.197 * [backup-simplify]: Simplify 1 into 1 7.197 * [backup-simplify]: Simplify (* 1 1) into 1 7.197 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.198 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.200 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.200 * [backup-simplify]: Simplify (- 0) into 0 7.201 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.202 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.204 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.205 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.206 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.209 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 7.210 * [backup-simplify]: Simplify (sqrt (/ (* (/ 1 (- im)) (* (/ 1 (- im)) 2.0)) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 7.210 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 7.210 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 7.210 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 7.210 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.210 * [taylor]: Taking taylor expansion of 2.0 in re 7.210 * [backup-simplify]: Simplify 2.0 into 2.0 7.210 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.210 * [taylor]: Taking taylor expansion of im in re 7.210 * [backup-simplify]: Simplify im into im 7.211 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 7.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 7.211 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 7.211 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.211 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.211 * [taylor]: Taking taylor expansion of re in re 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.211 * [backup-simplify]: Simplify (/ 1 1) into 1 7.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.211 * [taylor]: Taking taylor expansion of re in re 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.211 * [backup-simplify]: Simplify (* 1 1) into 1 7.212 * [backup-simplify]: Simplify (/ 1 1) into 1 7.212 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.212 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.212 * [taylor]: Taking taylor expansion of im in re 7.212 * [backup-simplify]: Simplify im into im 7.212 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.212 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.212 * [backup-simplify]: Simplify (+ 1 0) into 1 7.212 * [backup-simplify]: Simplify (sqrt 1) into 1 7.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (+ 0 0) into 0 7.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.214 * [backup-simplify]: Simplify (+ 1 1) into 2 7.214 * [backup-simplify]: Simplify (/ 1 2) into 1/2 7.215 * [backup-simplify]: Simplify (sqrt 0) into 0 7.216 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 7.216 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 7.216 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.216 * [taylor]: Taking taylor expansion of 2.0 in im 7.216 * [backup-simplify]: Simplify 2.0 into 2.0 7.216 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.216 * [taylor]: Taking taylor expansion of im in im 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 7.217 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 7.217 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.217 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.217 * [taylor]: Taking taylor expansion of re in im 7.217 * [backup-simplify]: Simplify re into re 7.217 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.217 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.217 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.217 * [taylor]: Taking taylor expansion of re in im 7.217 * [backup-simplify]: Simplify re into re 7.218 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.218 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.218 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.218 * [taylor]: Taking taylor expansion of im in im 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [backup-simplify]: Simplify (* 1 1) into 1 7.219 * [backup-simplify]: Simplify (/ 1 1) into 1 7.219 * [backup-simplify]: Simplify (+ 0 1) into 1 7.219 * [backup-simplify]: Simplify (sqrt 1) into 1 7.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.221 * [backup-simplify]: Simplify (+ 0 0) into 0 7.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.222 * [backup-simplify]: Simplify (+ 0 1) into 1 7.223 * [backup-simplify]: Simplify (/ 1 1) into 1 7.223 * [backup-simplify]: Simplify (sqrt 0) into 0 7.225 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.225 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 7.225 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 7.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 7.225 * [taylor]: Taking taylor expansion of 2.0 in im 7.225 * [backup-simplify]: Simplify 2.0 into 2.0 7.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.226 * [taylor]: Taking taylor expansion of im in im 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify 1 into 1 7.227 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 7.227 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 7.227 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.227 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.227 * [taylor]: Taking taylor expansion of re in im 7.227 * [backup-simplify]: Simplify re into re 7.227 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.227 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.227 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.227 * [taylor]: Taking taylor expansion of re in im 7.228 * [backup-simplify]: Simplify re into re 7.228 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.228 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.228 * [taylor]: Taking taylor expansion of im in im 7.228 * [backup-simplify]: Simplify 0 into 0 7.228 * [backup-simplify]: Simplify 1 into 1 7.228 * [backup-simplify]: Simplify (* 1 1) into 1 7.229 * [backup-simplify]: Simplify (/ 1 1) into 1 7.229 * [backup-simplify]: Simplify (+ 0 1) into 1 7.229 * [backup-simplify]: Simplify (sqrt 1) into 1 7.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.231 * [backup-simplify]: Simplify (+ 0 0) into 0 7.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.233 * [backup-simplify]: Simplify (+ 0 1) into 1 7.233 * [backup-simplify]: Simplify (/ 1 1) into 1 7.233 * [backup-simplify]: Simplify (sqrt 0) into 0 7.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.235 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 7.235 * [taylor]: Taking taylor expansion of 0 in re 7.235 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 7.239 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 7.239 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.239 * [taylor]: Taking taylor expansion of +nan.0 in re 7.239 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.239 * [taylor]: Taking taylor expansion of 2.0 in re 7.239 * [backup-simplify]: Simplify 2.0 into 2.0 7.239 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.241 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.243 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.244 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 7.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 7.246 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 7.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.250 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 7.250 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 7.250 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 7.250 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.250 * [taylor]: Taking taylor expansion of +nan.0 in re 7.250 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.250 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.250 * [taylor]: Taking taylor expansion of 2.0 in re 7.250 * [backup-simplify]: Simplify 2.0 into 2.0 7.250 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 7.251 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.251 * [taylor]: Taking taylor expansion of +nan.0 in re 7.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.251 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.251 * [taylor]: Taking taylor expansion of 2.0 in re 7.251 * [backup-simplify]: Simplify 2.0 into 2.0 7.252 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.253 * [taylor]: Taking taylor expansion of re in re 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.254 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.255 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.257 * [backup-simplify]: Simplify (- 0) into 0 7.259 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.262 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.263 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.264 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.265 * [backup-simplify]: Simplify (- 0) into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 7.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 7.268 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 7.268 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 7.270 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 7.271 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 7.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.275 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 7.276 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 7.276 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 7.276 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 7.276 * [taylor]: Taking taylor expansion of +nan.0 in re 7.276 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.276 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.276 * [taylor]: Taking taylor expansion of 2.0 in re 7.276 * [backup-simplify]: Simplify 2.0 into 2.0 7.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.277 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 7.277 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 7.277 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 7.277 * [taylor]: Taking taylor expansion of +nan.0 in re 7.277 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 7.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.277 * [taylor]: Taking taylor expansion of 2.0 in re 7.277 * [backup-simplify]: Simplify 2.0 into 2.0 7.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.278 * [taylor]: Taking taylor expansion of re in re 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.279 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 7.279 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 7.280 * [taylor]: Taking taylor expansion of +nan.0 in re 7.280 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.280 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 7.280 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 7.280 * [taylor]: Taking taylor expansion of 2.0 in re 7.280 * [backup-simplify]: Simplify 2.0 into 2.0 7.280 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 7.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 7.281 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.281 * [taylor]: Taking taylor expansion of re in re 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (* 1 1) into 1 7.282 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 7.283 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 7.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 7.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.291 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 7.292 * [backup-simplify]: Simplify (- 0) into 0 7.292 * [backup-simplify]: Simplify (+ 0 0) into 0 7.292 * [backup-simplify]: Simplify (- 0) into 0 7.294 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 7.297 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 7.298 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 7.309 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 7.309 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 7.310 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 7.310 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 7.310 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 7.310 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 7.310 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 7.310 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.310 * [taylor]: Taking taylor expansion of im in im 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 1 into 1 7.310 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.310 * [taylor]: Taking taylor expansion of re in im 7.310 * [backup-simplify]: Simplify re into re 7.310 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.310 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 7.310 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 7.310 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 7.311 * [backup-simplify]: Simplify (+ 0 0) into 0 7.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 7.311 * [taylor]: Taking taylor expansion of re in im 7.311 * [backup-simplify]: Simplify re into re 7.311 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 7.311 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.311 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.311 * [taylor]: Taking taylor expansion of im in re 7.311 * [backup-simplify]: Simplify im into im 7.311 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.311 * [taylor]: Taking taylor expansion of re in re 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 1 into 1 7.311 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.311 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.311 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.312 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.312 * [backup-simplify]: Simplify (+ 0 0) into 0 7.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.312 * [taylor]: Taking taylor expansion of re in re 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 1 into 1 7.312 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 7.312 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 7.312 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 7.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.312 * [taylor]: Taking taylor expansion of im in re 7.312 * [backup-simplify]: Simplify im into im 7.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.312 * [taylor]: Taking taylor expansion of re in re 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 1 into 1 7.313 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.313 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 7.313 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 7.313 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.313 * [backup-simplify]: Simplify (+ 0 0) into 0 7.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 7.313 * [taylor]: Taking taylor expansion of re in re 7.313 * [backup-simplify]: Simplify 0 into 0 7.313 * [backup-simplify]: Simplify 1 into 1 7.314 * [backup-simplify]: Simplify (- 0) into 0 7.314 * [backup-simplify]: Simplify (+ im 0) into im 7.314 * [taylor]: Taking taylor expansion of im in im 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify 1 into 1 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (- 1) into -1 7.315 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.315 * [taylor]: Taking taylor expansion of -1 in im 7.315 * [backup-simplify]: Simplify -1 into -1 7.315 * [backup-simplify]: Simplify -1 into -1 7.315 * [backup-simplify]: Simplify 1 into 1 7.316 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 7.316 * [backup-simplify]: Simplify (* 1 1) into 1 7.316 * [backup-simplify]: Simplify (+ 0 1) into 1 7.317 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 7.317 * [backup-simplify]: Simplify (- 0) into 0 7.317 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 7.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 7.317 * [taylor]: Taking taylor expansion of 1/2 in im 7.318 * [backup-simplify]: Simplify 1/2 into 1/2 7.318 * [taylor]: Taking taylor expansion of (/ 1 im) in im 7.318 * [taylor]: Taking taylor expansion of im in im 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (/ 1 1) into 1 7.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.319 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify 0 into 0 7.319 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 7.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.320 * [backup-simplify]: Simplify (+ 0 0) into 0 7.320 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 7.320 * [backup-simplify]: Simplify (- 0) into 0 7.320 * [backup-simplify]: Simplify (+ 0 0) into 0 7.321 * [taylor]: Taking taylor expansion of 0 in im 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 7.322 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 7.322 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 7.322 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 7.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.322 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.322 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.322 * [taylor]: Taking taylor expansion of re in im 7.322 * [backup-simplify]: Simplify re into re 7.322 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.322 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.322 * [taylor]: Taking taylor expansion of im in im 7.322 * [backup-simplify]: Simplify 0 into 0 7.322 * [backup-simplify]: Simplify 1 into 1 7.323 * [backup-simplify]: Simplify (* 1 1) into 1 7.323 * [backup-simplify]: Simplify (/ 1 1) into 1 7.323 * [backup-simplify]: Simplify (+ 0 1) into 1 7.323 * [backup-simplify]: Simplify (sqrt 1) into 1 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.324 * [backup-simplify]: Simplify (+ 0 0) into 0 7.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.325 * [taylor]: Taking taylor expansion of re in im 7.325 * [backup-simplify]: Simplify re into re 7.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.325 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.325 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.325 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.325 * [taylor]: Taking taylor expansion of re in re 7.325 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify 1 into 1 7.325 * [backup-simplify]: Simplify (* 1 1) into 1 7.326 * [backup-simplify]: Simplify (/ 1 1) into 1 7.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.326 * [taylor]: Taking taylor expansion of im in re 7.326 * [backup-simplify]: Simplify im into im 7.326 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.326 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.326 * [backup-simplify]: Simplify (+ 1 0) into 1 7.326 * [backup-simplify]: Simplify (sqrt 1) into 1 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (+ 0 0) into 0 7.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.328 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.328 * [taylor]: Taking taylor expansion of re in re 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [backup-simplify]: Simplify (/ 1 1) into 1 7.328 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 7.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.328 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.328 * [taylor]: Taking taylor expansion of re in re 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 1 into 1 7.328 * [backup-simplify]: Simplify (* 1 1) into 1 7.329 * [backup-simplify]: Simplify (/ 1 1) into 1 7.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.329 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.329 * [taylor]: Taking taylor expansion of im in re 7.329 * [backup-simplify]: Simplify im into im 7.329 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.329 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.329 * [backup-simplify]: Simplify (+ 1 0) into 1 7.329 * [backup-simplify]: Simplify (sqrt 1) into 1 7.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.330 * [backup-simplify]: Simplify (+ 0 0) into 0 7.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.331 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.331 * [taylor]: Taking taylor expansion of re in re 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 1 into 1 7.331 * [backup-simplify]: Simplify (/ 1 1) into 1 7.332 * [backup-simplify]: Simplify (- 1) into -1 7.332 * [backup-simplify]: Simplify (+ 1 -1) into 0 7.332 * [taylor]: Taking taylor expansion of 0 in im 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.333 * [backup-simplify]: Simplify (- 0) into 0 7.333 * [backup-simplify]: Simplify (+ 0 0) into 0 7.333 * [taylor]: Taking taylor expansion of 0 in im 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify 0 into 0 7.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.335 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (- 0) into 0 7.336 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 7.336 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.336 * [taylor]: Taking taylor expansion of 1/2 in im 7.336 * [backup-simplify]: Simplify 1/2 into 1/2 7.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.336 * [taylor]: Taking taylor expansion of im in im 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify 1 into 1 7.336 * [backup-simplify]: Simplify (* 1 1) into 1 7.336 * [backup-simplify]: Simplify (/ 1 1) into 1 7.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.339 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.339 * [backup-simplify]: Simplify (+ 0 0) into 0 7.340 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.340 * [backup-simplify]: Simplify (- 0) into 0 7.341 * [backup-simplify]: Simplify (+ 0 0) into 0 7.341 * [taylor]: Taking taylor expansion of 0 in im 7.341 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.343 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 7.344 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 7.344 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 7.344 * [taylor]: Taking taylor expansion of (/ 1 re) in im 7.344 * [taylor]: Taking taylor expansion of re in im 7.344 * [backup-simplify]: Simplify re into re 7.344 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 7.344 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 7.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 7.344 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 7.344 * [taylor]: Taking taylor expansion of (pow re 2) in im 7.344 * [taylor]: Taking taylor expansion of re in im 7.344 * [backup-simplify]: Simplify re into re 7.344 * [backup-simplify]: Simplify (* re re) into (pow re 2) 7.344 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 7.344 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.344 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.344 * [taylor]: Taking taylor expansion of im in im 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.345 * [backup-simplify]: Simplify (* 1 1) into 1 7.345 * [backup-simplify]: Simplify (/ 1 1) into 1 7.346 * [backup-simplify]: Simplify (+ 0 1) into 1 7.346 * [backup-simplify]: Simplify (sqrt 1) into 1 7.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.348 * [backup-simplify]: Simplify (+ 0 0) into 0 7.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.348 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.348 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.348 * [taylor]: Taking taylor expansion of re in re 7.348 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (/ 1 1) into 1 7.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.349 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.349 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.349 * [taylor]: Taking taylor expansion of re in re 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (* 1 1) into 1 7.350 * [backup-simplify]: Simplify (/ 1 1) into 1 7.350 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.350 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.350 * [taylor]: Taking taylor expansion of im in re 7.350 * [backup-simplify]: Simplify im into im 7.350 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.350 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.350 * [backup-simplify]: Simplify (+ 1 0) into 1 7.351 * [backup-simplify]: Simplify (sqrt 1) into 1 7.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.352 * [backup-simplify]: Simplify (+ 0 0) into 0 7.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.353 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 7.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 7.353 * [taylor]: Taking taylor expansion of re in re 7.353 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify 1 into 1 7.354 * [backup-simplify]: Simplify (/ 1 1) into 1 7.354 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 7.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 7.354 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 7.354 * [taylor]: Taking taylor expansion of (pow re 2) in re 7.354 * [taylor]: Taking taylor expansion of re in re 7.354 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [backup-simplify]: Simplify (* 1 1) into 1 7.354 * [backup-simplify]: Simplify (/ 1 1) into 1 7.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 7.355 * [taylor]: Taking taylor expansion of (pow im 2) in re 7.355 * [taylor]: Taking taylor expansion of im in re 7.355 * [backup-simplify]: Simplify im into im 7.355 * [backup-simplify]: Simplify (* im im) into (pow im 2) 7.355 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 7.355 * [backup-simplify]: Simplify (+ 1 0) into 1 7.356 * [backup-simplify]: Simplify (sqrt 1) into 1 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.358 * [backup-simplify]: Simplify (+ 1 1) into 2 7.358 * [taylor]: Taking taylor expansion of 2 in im 7.358 * [backup-simplify]: Simplify 2 into 2 7.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.360 * [backup-simplify]: Simplify (+ 0 0) into 0 7.360 * [taylor]: Taking taylor expansion of 0 in im 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 2 into 2 7.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.363 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 7.364 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 7.364 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 7.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 7.364 * [taylor]: Taking taylor expansion of 1/2 in im 7.364 * [backup-simplify]: Simplify 1/2 into 1/2 7.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 7.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 7.364 * [taylor]: Taking taylor expansion of im in im 7.364 * [backup-simplify]: Simplify 0 into 0 7.364 * [backup-simplify]: Simplify 1 into 1 7.365 * [backup-simplify]: Simplify (* 1 1) into 1 7.365 * [backup-simplify]: Simplify (/ 1 1) into 1 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 7.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 7.371 * [backup-simplify]: Simplify (+ 0 0) into 0 7.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.372 * [taylor]: Taking taylor expansion of 0 in im 7.372 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 7.375 * * * [progress]: simplifying candidates 7.375 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 7.375 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 7.375 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 11 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 7.376 * * * * [progress]: [ 16 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (+ (* re re) (* im im))))) re)))))> 7.376 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 22 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 7.377 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 7.378 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 46 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 48 / 100 ] simplifiying candidate #real (real->posit16 (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.379 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 7.379 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 7.380 * * * * [progress]: [ 72 / 100 ] simplifiying candidate #real (real->posit16 (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.381 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 7.381 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)))))))> 7.382 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 7.382 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 7.384 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (- (+ (log im) (+ (log im) (log 2.0))) (log (- (sqrt (+ (* re re) (* im im))) re))) (- (+ (log im) (log (* im 2.0))) (log (- (sqrt (+ (* re re) (* im im))) re))) (- (log (* im (* im 2.0))) (log (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) im) (* (* (* im im) im) (* (* 2.0 2.0) 2.0))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im im) im) (* (* (* im 2.0) (* im 2.0)) (* im 2.0))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (* im (* im 2.0)) (* im (* im 2.0))) (* im (* im 2.0))) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (- (* im (* im 2.0))) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im 2.0) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ (* im 2.0) (- (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im 2.0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im 2.0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ im 1) (/ (* im 2.0) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im (* im 2.0))) (/ (* im (* im 2.0)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* im (* im 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im (* im 2.0)) 1) (/ (* im (* im 2.0)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im (* im 2.0)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* im (* im 2.0)) 1) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)) (/ (* im (* im 2.0)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (* im (* im 2.0)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (real->posit16 (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (cbrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (cbrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (/ (* im 2.0) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ im 1)) (sqrt (/ (* im 2.0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ (* im 2.0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ (* im 2.0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (/ im 1)) (sqrt (/ (* im 2.0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt 1) (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* im (* im 2.0))) (sqrt (/ 1 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* im (* im 2.0)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im (* im 2.0)) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* im (* im 2.0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (sqrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (/ (* im (* im 2.0)) (- (sqrt (+ (* re re) (* im im))) re)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (* -1 re) (* 4.0 re) (+ (* 2.0 re) (* 2.0 im)) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) (- im re) 0 (* -2 re) 7.388 * * [simplify]: iteration 1: (188 enodes) 7.477 * * [simplify]: iteration 2: (455 enodes) 7.709 * * [simplify]: iteration 3: (1554 enodes) 10.209 * * [simplify]: Extracting #0: cost 89 inf + 0 10.211 * * [simplify]: Extracting #1: cost 738 inf + 46 10.217 * * [simplify]: Extracting #2: cost 1452 inf + 5070 10.240 * * [simplify]: Extracting #3: cost 1401 inf + 41588 10.300 * * [simplify]: Extracting #4: cost 985 inf + 124385 10.458 * * [simplify]: Extracting #5: cost 235 inf + 386176 10.631 * * [simplify]: Extracting #6: cost 6 inf + 473512 10.809 * * [simplify]: Extracting #7: cost 0 inf + 475729 11.019 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (* (* (* re re) re) (* (* re re) re)) (* (* (* im im) im) (* (* im im) im)))) (sqrt (- (* (* im im) (* im im)) (* (* re re) (- (* im im) (* re re))))) (sqrt (* (+ (* re re) (* im im)) (- (* re re) (* im im)))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (* (- 2.0) (* im im)) (+ (- (sqrt (+ (* re re) (* im im)))) re) (/ (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* 2.0 im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) im (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 2.0) (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 2.0) im (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (* im im))) (/ (* im im) (/ (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) 2.0)) (/ (* 2.0 (* im im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (* im im)) (/ (* 2.0 (* im im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* 2.0 (* im im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* 2.0 (* im im)) (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)) (/ 2.0 (/ (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (* im im))) (/ (* 2.0 (* im im)) (+ (* im im) 0)) (real->posit16 (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (log (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (* (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (fabs (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (cbrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (/ im (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* 2.0 im) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (/ (* im 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt im) (sqrt (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (* (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 2.0)) (sqrt (/ im (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (sqrt (* (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 2.0)) (sqrt im) (sqrt (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re))) 1 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im im))) (sqrt (/ 1 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ 2.0 (/ (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (* im im)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (+ (sqrt (+ (* re re) (* im im))) re)) (* re re))) (sqrt (/ (* 2.0 (* im im)) (+ (* im im) 0))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (* im im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (real->posit16 (sqrt (/ (* 2.0 (* im im)) (- (sqrt (+ (* re re) (* im im))) re)))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (- (sqrt (+ (* re re) (* im im))) re) (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (* (sqrt (+ (* re re) (* im im))) (+ (* re re) (* im im))) (* (* re re) re)) (+ (* (sqrt (+ (* re re) (* im im))) (+ (sqrt (+ (* re re) (* im im))) re)) (* re re)) (- re) (+ (* im im) 0) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (real->posit16 (- (sqrt (+ (* re re) (* im im))) re)) im re (- re) (* re 4.0) (* 2.0 (+ re im)) 0 (* +nan.0 (+ (* (/ (sqrt 2.0) (sqrt 2)) (* im (- im))) (* (* (sqrt 2) (sqrt 2.0)) (- re (* re re))))) (* +nan.0 (+ (- (/ re (/ im (/ (sqrt 2.0) im)))) (- (sqrt 2.0) (/ (sqrt 2.0) (/ im re))))) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))) (- im re) 0 (* re -2) 11.038 * * * [progress]: adding candidates to table 12.137 * * [progress]: iteration 4 / 4 12.137 * * * [progress]: picking best candidate 12.190 * * * * [pick]: Picked # 12.190 * * * [progress]: localizing error 12.246 * * * [progress]: generating rewritten candidates 12.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1) 12.258 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 12.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 12.338 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 12.380 * * * [progress]: generating series expansions 12.380 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1) 12.380 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow im 2) (pow re 2))) 12.380 * [approximate]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in (re im) around 0 12.380 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.380 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.380 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.380 * [taylor]: Taking taylor expansion of im in im 12.380 * [backup-simplify]: Simplify 0 into 0 12.380 * [backup-simplify]: Simplify 1 into 1 12.380 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.380 * [taylor]: Taking taylor expansion of re in im 12.380 * [backup-simplify]: Simplify re into re 12.381 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.381 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.381 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.381 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.381 * [backup-simplify]: Simplify (+ 0 0) into 0 12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.381 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.381 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.381 * [taylor]: Taking taylor expansion of im in re 12.381 * [backup-simplify]: Simplify im into im 12.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.381 * [taylor]: Taking taylor expansion of re in re 12.381 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.382 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.382 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.382 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.382 * [backup-simplify]: Simplify (+ 0 0) into 0 12.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.382 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.382 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.382 * [taylor]: Taking taylor expansion of im in re 12.382 * [backup-simplify]: Simplify im into im 12.382 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.382 * [taylor]: Taking taylor expansion of re in re 12.382 * [backup-simplify]: Simplify 0 into 0 12.382 * [backup-simplify]: Simplify 1 into 1 12.382 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.382 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.382 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.382 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.383 * [backup-simplify]: Simplify (+ 0 0) into 0 12.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.383 * [taylor]: Taking taylor expansion of im in im 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [taylor]: Taking taylor expansion of 0 in im 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.383 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.384 * [backup-simplify]: Simplify (* 1 1) into 1 12.384 * [backup-simplify]: Simplify (+ 0 1) into 1 12.384 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.384 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 12.384 * [taylor]: Taking taylor expansion of 1/2 in im 12.384 * [backup-simplify]: Simplify 1/2 into 1/2 12.384 * [taylor]: Taking taylor expansion of im in im 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 1 into 1 12.385 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.385 * [backup-simplify]: Simplify 0 into 0 12.386 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.387 * [backup-simplify]: Simplify (+ 0 0) into 0 12.387 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.387 * [taylor]: Taking taylor expansion of 0 in im 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify 0 into 0 12.387 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 12.388 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.388 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.388 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.388 * [taylor]: Taking taylor expansion of re in im 12.388 * [backup-simplify]: Simplify re into re 12.388 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.388 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.388 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.388 * [taylor]: Taking taylor expansion of im in im 12.388 * [backup-simplify]: Simplify 0 into 0 12.388 * [backup-simplify]: Simplify 1 into 1 12.388 * [backup-simplify]: Simplify (* 1 1) into 1 12.388 * [backup-simplify]: Simplify (/ 1 1) into 1 12.389 * [backup-simplify]: Simplify (+ 0 1) into 1 12.389 * [backup-simplify]: Simplify (sqrt 1) into 1 12.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.390 * [backup-simplify]: Simplify (+ 0 0) into 0 12.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.391 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.391 * [taylor]: Taking taylor expansion of re in re 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [backup-simplify]: Simplify (* 1 1) into 1 12.391 * [backup-simplify]: Simplify (/ 1 1) into 1 12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.391 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.391 * [taylor]: Taking taylor expansion of im in re 12.391 * [backup-simplify]: Simplify im into im 12.391 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.391 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.392 * [backup-simplify]: Simplify (+ 1 0) into 1 12.392 * [backup-simplify]: Simplify (sqrt 1) into 1 12.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.393 * [backup-simplify]: Simplify (+ 0 0) into 0 12.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.393 * [taylor]: Taking taylor expansion of re in re 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 1 into 1 12.394 * [backup-simplify]: Simplify (* 1 1) into 1 12.394 * [backup-simplify]: Simplify (/ 1 1) into 1 12.394 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.394 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.394 * [taylor]: Taking taylor expansion of im in re 12.394 * [backup-simplify]: Simplify im into im 12.394 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.394 * [backup-simplify]: Simplify (+ 1 0) into 1 12.395 * [backup-simplify]: Simplify (sqrt 1) into 1 12.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.396 * [backup-simplify]: Simplify (+ 0 0) into 0 12.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.396 * [taylor]: Taking taylor expansion of 1 in im 12.396 * [backup-simplify]: Simplify 1 into 1 12.396 * [taylor]: Taking taylor expansion of 0 in im 12.396 * [backup-simplify]: Simplify 0 into 0 12.396 * [backup-simplify]: Simplify 1 into 1 12.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.398 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.398 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.399 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.399 * [taylor]: Taking taylor expansion of 1/2 in im 12.399 * [backup-simplify]: Simplify 1/2 into 1/2 12.399 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.399 * [taylor]: Taking taylor expansion of im in im 12.399 * [backup-simplify]: Simplify 0 into 0 12.399 * [backup-simplify]: Simplify 1 into 1 12.399 * [backup-simplify]: Simplify (* 1 1) into 1 12.399 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.400 * [backup-simplify]: Simplify 0 into 0 12.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.402 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.403 * [backup-simplify]: Simplify (+ 0 0) into 0 12.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.403 * [taylor]: Taking taylor expansion of 0 in im 12.403 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.405 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 12.406 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) 12.406 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in (re im) around 0 12.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.406 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.406 * [taylor]: Taking taylor expansion of re in im 12.406 * [backup-simplify]: Simplify re into re 12.406 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.406 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.406 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.406 * [taylor]: Taking taylor expansion of im in im 12.406 * [backup-simplify]: Simplify 0 into 0 12.406 * [backup-simplify]: Simplify 1 into 1 12.407 * [backup-simplify]: Simplify (* 1 1) into 1 12.407 * [backup-simplify]: Simplify (/ 1 1) into 1 12.408 * [backup-simplify]: Simplify (+ 0 1) into 1 12.408 * [backup-simplify]: Simplify (sqrt 1) into 1 12.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.410 * [backup-simplify]: Simplify (+ 0 0) into 0 12.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.411 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.411 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.411 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.411 * [taylor]: Taking taylor expansion of re in re 12.411 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify 1 into 1 12.411 * [backup-simplify]: Simplify (* 1 1) into 1 12.412 * [backup-simplify]: Simplify (/ 1 1) into 1 12.412 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.412 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.412 * [taylor]: Taking taylor expansion of im in re 12.412 * [backup-simplify]: Simplify im into im 12.412 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.412 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.412 * [backup-simplify]: Simplify (+ 1 0) into 1 12.413 * [backup-simplify]: Simplify (sqrt 1) into 1 12.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ 0 0) into 0 12.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.416 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.416 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.416 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.416 * [taylor]: Taking taylor expansion of re in re 12.416 * [backup-simplify]: Simplify 0 into 0 12.416 * [backup-simplify]: Simplify 1 into 1 12.417 * [backup-simplify]: Simplify (* 1 1) into 1 12.417 * [backup-simplify]: Simplify (/ 1 1) into 1 12.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.417 * [taylor]: Taking taylor expansion of im in re 12.417 * [backup-simplify]: Simplify im into im 12.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.418 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.418 * [backup-simplify]: Simplify (+ 1 0) into 1 12.418 * [backup-simplify]: Simplify (sqrt 1) into 1 12.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.420 * [backup-simplify]: Simplify (+ 0 0) into 0 12.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.421 * [taylor]: Taking taylor expansion of 1 in im 12.421 * [backup-simplify]: Simplify 1 into 1 12.421 * [taylor]: Taking taylor expansion of 0 in im 12.421 * [backup-simplify]: Simplify 0 into 0 12.421 * [backup-simplify]: Simplify 1 into 1 12.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.423 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.424 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.425 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 12.425 * [taylor]: Taking taylor expansion of 1/2 in im 12.425 * [backup-simplify]: Simplify 1/2 into 1/2 12.425 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.425 * [taylor]: Taking taylor expansion of im in im 12.425 * [backup-simplify]: Simplify 0 into 0 12.425 * [backup-simplify]: Simplify 1 into 1 12.425 * [backup-simplify]: Simplify (* 1 1) into 1 12.426 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 12.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.429 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.430 * [backup-simplify]: Simplify (+ 0 0) into 0 12.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.431 * [taylor]: Taking taylor expansion of 0 in im 12.431 * [backup-simplify]: Simplify 0 into 0 12.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify 0 into 0 12.433 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 12.433 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 12.433 * [backup-simplify]: Simplify (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) 12.433 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in (im re) around 0 12.433 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in re 12.433 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 12.433 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.433 * [taylor]: Taking taylor expansion of 2.0 in re 12.433 * [backup-simplify]: Simplify 2.0 into 2.0 12.434 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.434 * [taylor]: Taking taylor expansion of im in re 12.434 * [backup-simplify]: Simplify im into im 12.434 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 12.434 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 12.434 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 12.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.434 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.434 * [taylor]: Taking taylor expansion of im in re 12.434 * [backup-simplify]: Simplify im into im 12.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.434 * [taylor]: Taking taylor expansion of re in re 12.434 * [backup-simplify]: Simplify 0 into 0 12.434 * [backup-simplify]: Simplify 1 into 1 12.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.434 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.435 * [backup-simplify]: Simplify (+ 0 0) into 0 12.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.435 * [taylor]: Taking taylor expansion of re in re 12.435 * [backup-simplify]: Simplify 0 into 0 12.435 * [backup-simplify]: Simplify 1 into 1 12.435 * [backup-simplify]: Simplify (- 0) into 0 12.435 * [backup-simplify]: Simplify (+ im 0) into im 12.435 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 12.435 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 12.435 * [backup-simplify]: Simplify (- 1) into -1 12.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 12.436 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 12.436 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 12.436 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 12.436 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.436 * [taylor]: Taking taylor expansion of 2.0 in im 12.436 * [backup-simplify]: Simplify 2.0 into 2.0 12.436 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.437 * [taylor]: Taking taylor expansion of im in im 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 12.437 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 12.437 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 12.437 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.437 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.437 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.437 * [taylor]: Taking taylor expansion of im in im 12.437 * [backup-simplify]: Simplify 0 into 0 12.437 * [backup-simplify]: Simplify 1 into 1 12.437 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.437 * [taylor]: Taking taylor expansion of re in im 12.437 * [backup-simplify]: Simplify re into re 12.437 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.437 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.437 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.437 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.437 * [backup-simplify]: Simplify (+ 0 0) into 0 12.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.437 * [taylor]: Taking taylor expansion of re in im 12.437 * [backup-simplify]: Simplify re into re 12.438 * [backup-simplify]: Simplify (- re) into (- re) 12.438 * [backup-simplify]: Simplify (+ re (- re)) into 0 12.438 * [backup-simplify]: Simplify (- 0) into 0 12.438 * [backup-simplify]: Simplify (+ 0 0) into 0 12.438 * [backup-simplify]: Simplify (* 1 1) into 1 12.439 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 12.439 * [backup-simplify]: Simplify (+ 1 0) into 1 12.439 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 12.439 * [backup-simplify]: Simplify (- 0) into 0 12.440 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 12.440 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 12.440 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 12.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.441 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 12.441 * [backup-simplify]: Simplify (+ 0 0) into 0 12.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 12.441 * [backup-simplify]: Simplify (- 0) into 0 12.441 * [backup-simplify]: Simplify (+ 0 0) into 0 12.441 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 12.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 12.442 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)))) in im 12.442 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 12.442 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.442 * [taylor]: Taking taylor expansion of 2.0 in im 12.442 * [backup-simplify]: Simplify 2.0 into 2.0 12.442 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.442 * [taylor]: Taking taylor expansion of im in im 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify 1 into 1 12.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 12.442 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 12.442 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 12.442 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.442 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.442 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.442 * [taylor]: Taking taylor expansion of im in im 12.442 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.443 * [taylor]: Taking taylor expansion of re in im 12.443 * [backup-simplify]: Simplify re into re 12.443 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.443 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.443 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.443 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.443 * [backup-simplify]: Simplify (+ 0 0) into 0 12.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.443 * [taylor]: Taking taylor expansion of re in im 12.443 * [backup-simplify]: Simplify re into re 12.443 * [backup-simplify]: Simplify (- re) into (- re) 12.443 * [backup-simplify]: Simplify (+ re (- re)) into 0 12.443 * [backup-simplify]: Simplify (- 0) into 0 12.444 * [backup-simplify]: Simplify (+ 0 0) into 0 12.444 * [backup-simplify]: Simplify (* 1 1) into 1 12.444 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 12.444 * [backup-simplify]: Simplify (+ 1 0) into 1 12.445 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 12.445 * [backup-simplify]: Simplify (- 0) into 0 12.445 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 12.445 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 12.445 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt 2) (sqrt re)) 12.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.446 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 12.446 * [backup-simplify]: Simplify (+ 0 0) into 0 12.447 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 12.447 * [backup-simplify]: Simplify (- 0) into 0 12.447 * [backup-simplify]: Simplify (+ 0 0) into 0 12.447 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 12.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 12.448 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.448 * [backup-simplify]: Simplify (* 0 (* (sqrt 2) (sqrt re))) into 0 12.448 * [taylor]: Taking taylor expansion of 0 in re 12.448 * [backup-simplify]: Simplify 0 into 0 12.448 * [backup-simplify]: Simplify 0 into 0 12.449 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 12.450 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt 2) (sqrt re)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 12.450 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 12.450 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 12.450 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.450 * [taylor]: Taking taylor expansion of 2.0 in re 12.450 * [backup-simplify]: Simplify 2.0 into 2.0 12.450 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.451 * [taylor]: Taking taylor expansion of (sqrt 2) in re 12.451 * [taylor]: Taking taylor expansion of 2 in re 12.451 * [backup-simplify]: Simplify 2 into 2 12.451 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.451 * [taylor]: Taking taylor expansion of (sqrt re) in re 12.451 * [taylor]: Taking taylor expansion of re in re 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify 1 into 1 12.452 * [backup-simplify]: Simplify (sqrt 0) into 0 12.453 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.453 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 12.454 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.454 * [backup-simplify]: Simplify 0 into 0 12.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.455 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 12.455 * [backup-simplify]: Simplify (+ 0 0) into 0 12.456 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 12.456 * [backup-simplify]: Simplify (- 0) into 0 12.456 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 12.457 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 12.457 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt 2) (sqrt re)))) into (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 12.458 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.459 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 12.460 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt 2) (sqrt re))))) into 0 12.460 * [taylor]: Taking taylor expansion of 0 in re 12.460 * [backup-simplify]: Simplify 0 into 0 12.460 * [backup-simplify]: Simplify 0 into 0 12.461 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 12.470 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 12.473 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 12.473 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.476 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 12.476 * [backup-simplify]: Simplify (+ 0 0) into 0 12.477 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 12.477 * [backup-simplify]: Simplify (- 0) into 0 12.477 * [backup-simplify]: Simplify (+ 0 0) into 0 12.478 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 12.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3))))))))) (* 2 (* (sqrt 2) (sqrt re)))) into 0 12.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.482 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.483 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow re 3)))))) (+ (* 0 0) (* 0 (* (sqrt 2) (sqrt re)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 12.483 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 12.483 * [taylor]: Taking taylor expansion of 1/4 in re 12.483 * [backup-simplify]: Simplify 1/4 into 1/4 12.483 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 12.483 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 12.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.483 * [taylor]: Taking taylor expansion of 2.0 in re 12.483 * [backup-simplify]: Simplify 2.0 into 2.0 12.484 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.484 * [taylor]: Taking taylor expansion of (sqrt 2) in re 12.484 * [taylor]: Taking taylor expansion of 2 in re 12.484 * [backup-simplify]: Simplify 2 into 2 12.485 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 12.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 12.486 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 12.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 12.486 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 12.486 * [taylor]: Taking taylor expansion of (pow re 3) in re 12.486 * [taylor]: Taking taylor expansion of re in re 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify 1 into 1 12.486 * [backup-simplify]: Simplify (* 1 1) into 1 12.486 * [backup-simplify]: Simplify (* 1 1) into 1 12.487 * [backup-simplify]: Simplify (/ 1 1) into 1 12.487 * [backup-simplify]: Simplify (sqrt 0) into 0 12.488 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.491 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.491 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 12.492 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.493 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.494 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 12.496 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 12.498 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 12.499 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 12.503 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 12.505 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 12.505 * [backup-simplify]: Simplify 0 into 0 12.507 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 12.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 12.508 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.509 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 12.514 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 12.517 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 12.526 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 12.526 * [backup-simplify]: Simplify (sqrt (/ (/ 1 im) (/ (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) (* (/ 1 im) 2.0)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) 12.526 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in (im re) around 0 12.527 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in re 12.527 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 12.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.527 * [taylor]: Taking taylor expansion of 2.0 in re 12.527 * [backup-simplify]: Simplify 2.0 into 2.0 12.527 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.527 * [taylor]: Taking taylor expansion of im in re 12.527 * [backup-simplify]: Simplify im into im 12.528 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 12.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 12.528 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 12.528 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.528 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.528 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.528 * [taylor]: Taking taylor expansion of re in re 12.528 * [backup-simplify]: Simplify 0 into 0 12.528 * [backup-simplify]: Simplify 1 into 1 12.528 * [backup-simplify]: Simplify (* 1 1) into 1 12.528 * [backup-simplify]: Simplify (/ 1 1) into 1 12.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.528 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.528 * [taylor]: Taking taylor expansion of im in re 12.528 * [backup-simplify]: Simplify im into im 12.528 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.528 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.529 * [backup-simplify]: Simplify (+ 1 0) into 1 12.529 * [backup-simplify]: Simplify (sqrt 1) into 1 12.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.530 * [backup-simplify]: Simplify (+ 0 0) into 0 12.530 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.530 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.530 * [taylor]: Taking taylor expansion of re in re 12.531 * [backup-simplify]: Simplify 0 into 0 12.531 * [backup-simplify]: Simplify 1 into 1 12.531 * [backup-simplify]: Simplify (/ 1 1) into 1 12.531 * [backup-simplify]: Simplify (- 1) into -1 12.531 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.532 * [backup-simplify]: Simplify (+ 0 0) into 0 12.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.533 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.534 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.535 * [backup-simplify]: Simplify (- 0) into 0 12.535 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.535 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 12.535 * [backup-simplify]: Simplify (sqrt 0) into 0 12.536 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 12.536 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 12.536 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 12.536 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.536 * [taylor]: Taking taylor expansion of 2.0 in im 12.536 * [backup-simplify]: Simplify 2.0 into 2.0 12.536 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.536 * [taylor]: Taking taylor expansion of im in im 12.536 * [backup-simplify]: Simplify 0 into 0 12.536 * [backup-simplify]: Simplify 1 into 1 12.537 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.537 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 12.537 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 12.537 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.537 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.537 * [taylor]: Taking taylor expansion of re in im 12.537 * [backup-simplify]: Simplify re into re 12.537 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.537 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.537 * [taylor]: Taking taylor expansion of im in im 12.537 * [backup-simplify]: Simplify 0 into 0 12.537 * [backup-simplify]: Simplify 1 into 1 12.538 * [backup-simplify]: Simplify (* 1 1) into 1 12.538 * [backup-simplify]: Simplify (/ 1 1) into 1 12.538 * [backup-simplify]: Simplify (+ 0 1) into 1 12.538 * [backup-simplify]: Simplify (sqrt 1) into 1 12.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.539 * [backup-simplify]: Simplify (+ 0 0) into 0 12.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.540 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.540 * [taylor]: Taking taylor expansion of re in im 12.540 * [backup-simplify]: Simplify re into re 12.540 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.540 * [backup-simplify]: Simplify (+ 1 0) into 1 12.540 * [backup-simplify]: Simplify (/ 1 1) into 1 12.541 * [backup-simplify]: Simplify (sqrt 0) into 0 12.542 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.542 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))))) in im 12.542 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 12.542 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.542 * [taylor]: Taking taylor expansion of 2.0 in im 12.542 * [backup-simplify]: Simplify 2.0 into 2.0 12.542 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.542 * [taylor]: Taking taylor expansion of im in im 12.542 * [backup-simplify]: Simplify 0 into 0 12.542 * [backup-simplify]: Simplify 1 into 1 12.543 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 12.543 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 12.543 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.543 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.543 * [taylor]: Taking taylor expansion of re in im 12.543 * [backup-simplify]: Simplify re into re 12.543 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.543 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.543 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.543 * [taylor]: Taking taylor expansion of im in im 12.543 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify 1 into 1 12.544 * [backup-simplify]: Simplify (* 1 1) into 1 12.544 * [backup-simplify]: Simplify (/ 1 1) into 1 12.544 * [backup-simplify]: Simplify (+ 0 1) into 1 12.544 * [backup-simplify]: Simplify (sqrt 1) into 1 12.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.545 * [backup-simplify]: Simplify (+ 0 0) into 0 12.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.546 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.546 * [taylor]: Taking taylor expansion of re in im 12.546 * [backup-simplify]: Simplify re into re 12.546 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.546 * [backup-simplify]: Simplify (+ 1 0) into 1 12.546 * [backup-simplify]: Simplify (/ 1 1) into 1 12.547 * [backup-simplify]: Simplify (sqrt 0) into 0 12.547 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.548 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.548 * [taylor]: Taking taylor expansion of 0 in re 12.548 * [backup-simplify]: Simplify 0 into 0 12.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.550 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 12.550 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 12.550 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 12.550 * [taylor]: Taking taylor expansion of +nan.0 in re 12.550 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.550 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.550 * [taylor]: Taking taylor expansion of 2.0 in re 12.550 * [backup-simplify]: Simplify 2.0 into 2.0 12.550 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.551 * [backup-simplify]: Simplify 0 into 0 12.551 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 12.551 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 12.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 12.552 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 12.552 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.554 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 12.554 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 12.554 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 12.554 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 12.554 * [taylor]: Taking taylor expansion of +nan.0 in re 12.554 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.554 * [taylor]: Taking taylor expansion of 2.0 in re 12.554 * [backup-simplify]: Simplify 2.0 into 2.0 12.554 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.554 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 12.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 12.555 * [taylor]: Taking taylor expansion of +nan.0 in re 12.555 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.555 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 12.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.555 * [taylor]: Taking taylor expansion of 2.0 in re 12.555 * [backup-simplify]: Simplify 2.0 into 2.0 12.555 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.555 * [taylor]: Taking taylor expansion of re in re 12.555 * [backup-simplify]: Simplify 0 into 0 12.555 * [backup-simplify]: Simplify 1 into 1 12.556 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.556 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.558 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.560 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.562 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.564 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.571 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.573 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.575 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.575 * [backup-simplify]: Simplify 0 into 0 12.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.577 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 12.578 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.579 * [backup-simplify]: Simplify (- 0) into 0 12.579 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 12.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 12.580 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 12.582 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.586 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 12.586 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 12.586 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 12.586 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 12.586 * [taylor]: Taking taylor expansion of +nan.0 in re 12.586 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.586 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.586 * [taylor]: Taking taylor expansion of 2.0 in re 12.586 * [backup-simplify]: Simplify 2.0 into 2.0 12.587 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.588 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 12.588 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 12.588 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 12.588 * [taylor]: Taking taylor expansion of +nan.0 in re 12.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.588 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 12.588 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.588 * [taylor]: Taking taylor expansion of 2.0 in re 12.588 * [backup-simplify]: Simplify 2.0 into 2.0 12.588 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.589 * [taylor]: Taking taylor expansion of re in re 12.589 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify 1 into 1 12.590 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 12.590 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 12.590 * [taylor]: Taking taylor expansion of +nan.0 in re 12.590 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.590 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 12.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.590 * [taylor]: Taking taylor expansion of 2.0 in re 12.590 * [backup-simplify]: Simplify 2.0 into 2.0 12.591 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.591 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.592 * [taylor]: Taking taylor expansion of re in re 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify 1 into 1 12.592 * [backup-simplify]: Simplify (* 1 1) into 1 12.593 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.594 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.596 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.597 * [backup-simplify]: Simplify (- 0) into 0 12.598 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 12.601 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.603 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.605 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.607 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.612 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2))) (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (* (sqrt 2.0) re) im))))))) 12.612 * [backup-simplify]: Simplify (sqrt (/ (/ 1 (- im)) (/ (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) (* (/ 1 (- im)) 2.0)))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) 12.612 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in (im re) around 0 12.613 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in re 12.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 12.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.613 * [taylor]: Taking taylor expansion of 2.0 in re 12.613 * [backup-simplify]: Simplify 2.0 into 2.0 12.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.614 * [taylor]: Taking taylor expansion of im in re 12.614 * [backup-simplify]: Simplify im into im 12.614 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 12.614 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in re 12.614 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in re 12.614 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.614 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.614 * [taylor]: Taking taylor expansion of re in re 12.614 * [backup-simplify]: Simplify 0 into 0 12.614 * [backup-simplify]: Simplify 1 into 1 12.615 * [backup-simplify]: Simplify (/ 1 1) into 1 12.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.615 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.615 * [taylor]: Taking taylor expansion of re in re 12.615 * [backup-simplify]: Simplify 0 into 0 12.615 * [backup-simplify]: Simplify 1 into 1 12.615 * [backup-simplify]: Simplify (* 1 1) into 1 12.616 * [backup-simplify]: Simplify (/ 1 1) into 1 12.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.616 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.616 * [taylor]: Taking taylor expansion of im in re 12.616 * [backup-simplify]: Simplify im into im 12.616 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.617 * [backup-simplify]: Simplify (+ 1 0) into 1 12.617 * [backup-simplify]: Simplify (sqrt 1) into 1 12.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.619 * [backup-simplify]: Simplify (+ 0 0) into 0 12.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.620 * [backup-simplify]: Simplify (+ 1 1) into 2 12.620 * [backup-simplify]: Simplify (/ 1 2) into 1/2 12.621 * [backup-simplify]: Simplify (sqrt 0) into 0 12.622 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 12.622 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 12.622 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 12.622 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.622 * [taylor]: Taking taylor expansion of 2.0 in im 12.622 * [backup-simplify]: Simplify 2.0 into 2.0 12.623 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.623 * [taylor]: Taking taylor expansion of im in im 12.623 * [backup-simplify]: Simplify 0 into 0 12.624 * [backup-simplify]: Simplify 1 into 1 12.624 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 12.624 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 12.624 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.625 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.625 * [taylor]: Taking taylor expansion of re in im 12.625 * [backup-simplify]: Simplify re into re 12.625 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.625 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.625 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.625 * [taylor]: Taking taylor expansion of re in im 12.625 * [backup-simplify]: Simplify re into re 12.625 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.625 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.625 * [taylor]: Taking taylor expansion of im in im 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [backup-simplify]: Simplify (* 1 1) into 1 12.626 * [backup-simplify]: Simplify (/ 1 1) into 1 12.626 * [backup-simplify]: Simplify (+ 0 1) into 1 12.627 * [backup-simplify]: Simplify (sqrt 1) into 1 12.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.629 * [backup-simplify]: Simplify (+ 0 0) into 0 12.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.630 * [backup-simplify]: Simplify (+ 0 1) into 1 12.630 * [backup-simplify]: Simplify (/ 1 1) into 1 12.630 * [backup-simplify]: Simplify (sqrt 0) into 0 12.632 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.632 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))))) in im 12.632 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 12.632 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 12.632 * [taylor]: Taking taylor expansion of 2.0 in im 12.632 * [backup-simplify]: Simplify 2.0 into 2.0 12.632 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.633 * [taylor]: Taking taylor expansion of im in im 12.633 * [backup-simplify]: Simplify 0 into 0 12.633 * [backup-simplify]: Simplify 1 into 1 12.635 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))))) in im 12.635 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))))) in im 12.635 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.635 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.635 * [taylor]: Taking taylor expansion of re in im 12.635 * [backup-simplify]: Simplify re into re 12.635 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.635 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.635 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.635 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.635 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.635 * [taylor]: Taking taylor expansion of re in im 12.635 * [backup-simplify]: Simplify re into re 12.635 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.635 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.635 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.635 * [taylor]: Taking taylor expansion of im in im 12.635 * [backup-simplify]: Simplify 0 into 0 12.635 * [backup-simplify]: Simplify 1 into 1 12.636 * [backup-simplify]: Simplify (* 1 1) into 1 12.636 * [backup-simplify]: Simplify (/ 1 1) into 1 12.636 * [backup-simplify]: Simplify (+ 0 1) into 1 12.637 * [backup-simplify]: Simplify (sqrt 1) into 1 12.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.639 * [backup-simplify]: Simplify (+ 0 0) into 0 12.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.640 * [backup-simplify]: Simplify (+ 0 1) into 1 12.640 * [backup-simplify]: Simplify (/ 1 1) into 1 12.641 * [backup-simplify]: Simplify (sqrt 0) into 0 12.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 12.643 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 12.643 * [taylor]: Taking taylor expansion of 0 in re 12.643 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify 0 into 0 12.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.646 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 12.646 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 12.646 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 12.646 * [taylor]: Taking taylor expansion of +nan.0 in re 12.646 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.646 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.646 * [taylor]: Taking taylor expansion of 2.0 in re 12.646 * [backup-simplify]: Simplify 2.0 into 2.0 12.646 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.648 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.650 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.651 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.651 * [backup-simplify]: Simplify 0 into 0 12.651 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 12.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 12.653 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 12.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.657 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 12.657 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 12.657 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 12.657 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 12.657 * [taylor]: Taking taylor expansion of +nan.0 in re 12.657 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.657 * [taylor]: Taking taylor expansion of 2.0 in re 12.657 * [backup-simplify]: Simplify 2.0 into 2.0 12.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.658 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 12.658 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 12.658 * [taylor]: Taking taylor expansion of +nan.0 in re 12.658 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.658 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 12.658 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.658 * [taylor]: Taking taylor expansion of 2.0 in re 12.658 * [backup-simplify]: Simplify 2.0 into 2.0 12.659 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.659 * [taylor]: Taking taylor expansion of re in re 12.659 * [backup-simplify]: Simplify 0 into 0 12.659 * [backup-simplify]: Simplify 1 into 1 12.660 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.661 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.663 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.664 * [backup-simplify]: Simplify (- 0) into 0 12.665 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 12.667 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.669 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.670 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.670 * [backup-simplify]: Simplify (- 0) into 0 12.670 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify 0 into 0 12.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.672 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 12.674 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.674 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 12.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 12.675 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 12.677 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 12.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.680 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) 12.680 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))))) in re 12.680 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))))) in re 12.680 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 12.680 * [taylor]: Taking taylor expansion of +nan.0 in re 12.680 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.680 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.680 * [taylor]: Taking taylor expansion of 2.0 in re 12.680 * [backup-simplify]: Simplify 2.0 into 2.0 12.681 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.681 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))))) in re 12.682 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) re)) (- (* +nan.0 (/ (sqrt 2.0) (pow re 2))))) in re 12.682 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 12.682 * [taylor]: Taking taylor expansion of +nan.0 in re 12.682 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.682 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 12.682 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.682 * [taylor]: Taking taylor expansion of 2.0 in re 12.682 * [backup-simplify]: Simplify 2.0 into 2.0 12.682 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.683 * [taylor]: Taking taylor expansion of re in re 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 1 into 1 12.684 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.684 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow re 2)))) in re 12.684 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 12.684 * [taylor]: Taking taylor expansion of +nan.0 in re 12.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 12.684 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 12.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 12.684 * [taylor]: Taking taylor expansion of 2.0 in re 12.684 * [backup-simplify]: Simplify 2.0 into 2.0 12.685 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 12.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 12.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.686 * [taylor]: Taking taylor expansion of re in re 12.686 * [backup-simplify]: Simplify 0 into 0 12.686 * [backup-simplify]: Simplify 1 into 1 12.686 * [backup-simplify]: Simplify (* 1 1) into 1 12.687 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 12.688 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 12.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.690 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 12.691 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 12.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 12.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.696 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 12.696 * [backup-simplify]: Simplify (- 0) into 0 12.697 * [backup-simplify]: Simplify (+ 0 0) into 0 12.697 * [backup-simplify]: Simplify (- 0) into 0 12.699 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 12.701 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 12.702 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 12.707 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))))))) 12.708 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 12.708 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow im 2) (pow re 2))) re) 12.708 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in (re im) around 0 12.708 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 12.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.708 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.708 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.708 * [taylor]: Taking taylor expansion of im in im 12.708 * [backup-simplify]: Simplify 0 into 0 12.708 * [backup-simplify]: Simplify 1 into 1 12.708 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.708 * [taylor]: Taking taylor expansion of re in im 12.708 * [backup-simplify]: Simplify re into re 12.708 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.709 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.709 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.709 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.709 * [backup-simplify]: Simplify (+ 0 0) into 0 12.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.709 * [taylor]: Taking taylor expansion of re in im 12.709 * [backup-simplify]: Simplify re into re 12.709 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 12.709 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.709 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.709 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.709 * [taylor]: Taking taylor expansion of im in re 12.709 * [backup-simplify]: Simplify im into im 12.710 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.710 * [taylor]: Taking taylor expansion of re in re 12.710 * [backup-simplify]: Simplify 0 into 0 12.710 * [backup-simplify]: Simplify 1 into 1 12.710 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.710 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.710 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.710 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.710 * [backup-simplify]: Simplify (+ 0 0) into 0 12.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.710 * [taylor]: Taking taylor expansion of re in re 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify 1 into 1 12.711 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 12.711 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.711 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.711 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.711 * [taylor]: Taking taylor expansion of im in re 12.711 * [backup-simplify]: Simplify im into im 12.711 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.711 * [taylor]: Taking taylor expansion of re in re 12.711 * [backup-simplify]: Simplify 0 into 0 12.711 * [backup-simplify]: Simplify 1 into 1 12.711 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.711 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.711 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.711 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.712 * [backup-simplify]: Simplify (+ 0 0) into 0 12.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.712 * [taylor]: Taking taylor expansion of re in re 12.712 * [backup-simplify]: Simplify 0 into 0 12.712 * [backup-simplify]: Simplify 1 into 1 12.712 * [backup-simplify]: Simplify (- 0) into 0 12.712 * [backup-simplify]: Simplify (+ im 0) into im 12.712 * [taylor]: Taking taylor expansion of im in im 12.712 * [backup-simplify]: Simplify 0 into 0 12.713 * [backup-simplify]: Simplify 1 into 1 12.713 * [backup-simplify]: Simplify 0 into 0 12.713 * [backup-simplify]: Simplify (- 1) into -1 12.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.713 * [taylor]: Taking taylor expansion of -1 in im 12.714 * [backup-simplify]: Simplify -1 into -1 12.714 * [backup-simplify]: Simplify -1 into -1 12.714 * [backup-simplify]: Simplify 1 into 1 12.714 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.715 * [backup-simplify]: Simplify (* 1 1) into 1 12.715 * [backup-simplify]: Simplify (+ 0 1) into 1 12.721 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 12.722 * [backup-simplify]: Simplify (- 0) into 0 12.722 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 12.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 12.722 * [taylor]: Taking taylor expansion of 1/2 in im 12.722 * [backup-simplify]: Simplify 1/2 into 1/2 12.722 * [taylor]: Taking taylor expansion of (/ 1 im) in im 12.722 * [taylor]: Taking taylor expansion of im in im 12.722 * [backup-simplify]: Simplify 0 into 0 12.722 * [backup-simplify]: Simplify 1 into 1 12.723 * [backup-simplify]: Simplify (/ 1 1) into 1 12.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.724 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.724 * [backup-simplify]: Simplify 0 into 0 12.724 * [backup-simplify]: Simplify 0 into 0 12.724 * [backup-simplify]: Simplify 0 into 0 12.725 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 12.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.726 * [backup-simplify]: Simplify (+ 0 0) into 0 12.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 12.727 * [backup-simplify]: Simplify (- 0) into 0 12.728 * [backup-simplify]: Simplify (+ 0 0) into 0 12.728 * [taylor]: Taking taylor expansion of 0 in im 12.728 * [backup-simplify]: Simplify 0 into 0 12.728 * [backup-simplify]: Simplify 0 into 0 12.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.730 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.730 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify 0 into 0 12.730 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 12.731 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) 12.731 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in (re im) around 0 12.731 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.731 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.731 * [taylor]: Taking taylor expansion of re in im 12.731 * [backup-simplify]: Simplify re into re 12.731 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.731 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.731 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.731 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.731 * [taylor]: Taking taylor expansion of im in im 12.731 * [backup-simplify]: Simplify 0 into 0 12.731 * [backup-simplify]: Simplify 1 into 1 12.732 * [backup-simplify]: Simplify (* 1 1) into 1 12.732 * [backup-simplify]: Simplify (/ 1 1) into 1 12.733 * [backup-simplify]: Simplify (+ 0 1) into 1 12.733 * [backup-simplify]: Simplify (sqrt 1) into 1 12.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.735 * [backup-simplify]: Simplify (+ 0 0) into 0 12.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.736 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.736 * [taylor]: Taking taylor expansion of re in im 12.736 * [backup-simplify]: Simplify re into re 12.736 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.736 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.736 * [taylor]: Taking taylor expansion of re in re 12.736 * [backup-simplify]: Simplify 0 into 0 12.736 * [backup-simplify]: Simplify 1 into 1 12.737 * [backup-simplify]: Simplify (* 1 1) into 1 12.737 * [backup-simplify]: Simplify (/ 1 1) into 1 12.737 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.737 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.737 * [taylor]: Taking taylor expansion of im in re 12.737 * [backup-simplify]: Simplify im into im 12.737 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.737 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.738 * [backup-simplify]: Simplify (+ 1 0) into 1 12.738 * [backup-simplify]: Simplify (sqrt 1) into 1 12.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.740 * [backup-simplify]: Simplify (+ 0 0) into 0 12.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.741 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.741 * [taylor]: Taking taylor expansion of re in re 12.741 * [backup-simplify]: Simplify 0 into 0 12.741 * [backup-simplify]: Simplify 1 into 1 12.741 * [backup-simplify]: Simplify (/ 1 1) into 1 12.741 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.741 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.741 * [taylor]: Taking taylor expansion of re in re 12.742 * [backup-simplify]: Simplify 0 into 0 12.742 * [backup-simplify]: Simplify 1 into 1 12.742 * [backup-simplify]: Simplify (* 1 1) into 1 12.742 * [backup-simplify]: Simplify (/ 1 1) into 1 12.742 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.742 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.742 * [taylor]: Taking taylor expansion of im in re 12.742 * [backup-simplify]: Simplify im into im 12.742 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.743 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.743 * [backup-simplify]: Simplify (+ 1 0) into 1 12.743 * [backup-simplify]: Simplify (sqrt 1) into 1 12.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.745 * [backup-simplify]: Simplify (+ 0 0) into 0 12.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.746 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.746 * [taylor]: Taking taylor expansion of re in re 12.746 * [backup-simplify]: Simplify 0 into 0 12.746 * [backup-simplify]: Simplify 1 into 1 12.746 * [backup-simplify]: Simplify (/ 1 1) into 1 12.746 * [backup-simplify]: Simplify (- 1) into -1 12.746 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.746 * [taylor]: Taking taylor expansion of 0 in im 12.746 * [backup-simplify]: Simplify 0 into 0 12.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.747 * [backup-simplify]: Simplify (- 0) into 0 12.747 * [backup-simplify]: Simplify (+ 0 0) into 0 12.747 * [taylor]: Taking taylor expansion of 0 in im 12.747 * [backup-simplify]: Simplify 0 into 0 12.747 * [backup-simplify]: Simplify 0 into 0 12.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.749 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.749 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.750 * [backup-simplify]: Simplify (- 0) into 0 12.750 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.750 * [taylor]: Taking taylor expansion of 1/2 in im 12.750 * [backup-simplify]: Simplify 1/2 into 1/2 12.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.750 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.750 * [taylor]: Taking taylor expansion of im in im 12.750 * [backup-simplify]: Simplify 0 into 0 12.750 * [backup-simplify]: Simplify 1 into 1 12.751 * [backup-simplify]: Simplify (* 1 1) into 1 12.751 * [backup-simplify]: Simplify (/ 1 1) into 1 12.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify 0 into 0 12.752 * [backup-simplify]: Simplify 0 into 0 12.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.754 * [backup-simplify]: Simplify (+ 0 0) into 0 12.754 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.755 * [backup-simplify]: Simplify (- 0) into 0 12.755 * [backup-simplify]: Simplify (+ 0 0) into 0 12.755 * [taylor]: Taking taylor expansion of 0 in im 12.755 * [backup-simplify]: Simplify 0 into 0 12.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.757 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify 0 into 0 12.757 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) 12.757 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in (re im) around 0 12.757 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.757 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.757 * [taylor]: Taking taylor expansion of re in im 12.757 * [backup-simplify]: Simplify re into re 12.757 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.758 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.758 * [taylor]: Taking taylor expansion of re in im 12.758 * [backup-simplify]: Simplify re into re 12.758 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.758 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.758 * [taylor]: Taking taylor expansion of im in im 12.758 * [backup-simplify]: Simplify 0 into 0 12.758 * [backup-simplify]: Simplify 1 into 1 12.758 * [backup-simplify]: Simplify (* 1 1) into 1 12.758 * [backup-simplify]: Simplify (/ 1 1) into 1 12.759 * [backup-simplify]: Simplify (+ 0 1) into 1 12.759 * [backup-simplify]: Simplify (sqrt 1) into 1 12.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.760 * [backup-simplify]: Simplify (+ 0 0) into 0 12.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.760 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.760 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.760 * [taylor]: Taking taylor expansion of re in re 12.760 * [backup-simplify]: Simplify 0 into 0 12.760 * [backup-simplify]: Simplify 1 into 1 12.761 * [backup-simplify]: Simplify (/ 1 1) into 1 12.761 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.761 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.761 * [taylor]: Taking taylor expansion of re in re 12.761 * [backup-simplify]: Simplify 0 into 0 12.761 * [backup-simplify]: Simplify 1 into 1 12.761 * [backup-simplify]: Simplify (* 1 1) into 1 12.761 * [backup-simplify]: Simplify (/ 1 1) into 1 12.761 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.761 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.761 * [taylor]: Taking taylor expansion of im in re 12.761 * [backup-simplify]: Simplify im into im 12.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.761 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.762 * [backup-simplify]: Simplify (+ 1 0) into 1 12.762 * [backup-simplify]: Simplify (sqrt 1) into 1 12.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.763 * [backup-simplify]: Simplify (+ 0 0) into 0 12.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.763 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.763 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.763 * [taylor]: Taking taylor expansion of re in re 12.763 * [backup-simplify]: Simplify 0 into 0 12.763 * [backup-simplify]: Simplify 1 into 1 12.764 * [backup-simplify]: Simplify (/ 1 1) into 1 12.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.764 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.764 * [taylor]: Taking taylor expansion of re in re 12.764 * [backup-simplify]: Simplify 0 into 0 12.764 * [backup-simplify]: Simplify 1 into 1 12.764 * [backup-simplify]: Simplify (* 1 1) into 1 12.764 * [backup-simplify]: Simplify (/ 1 1) into 1 12.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.764 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.764 * [taylor]: Taking taylor expansion of im in re 12.764 * [backup-simplify]: Simplify im into im 12.764 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.765 * [backup-simplify]: Simplify (+ 1 0) into 1 12.765 * [backup-simplify]: Simplify (sqrt 1) into 1 12.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.766 * [backup-simplify]: Simplify (+ 0 0) into 0 12.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.767 * [backup-simplify]: Simplify (+ 1 1) into 2 12.767 * [taylor]: Taking taylor expansion of 2 in im 12.767 * [backup-simplify]: Simplify 2 into 2 12.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.767 * [backup-simplify]: Simplify (+ 0 0) into 0 12.768 * [taylor]: Taking taylor expansion of 0 in im 12.768 * [backup-simplify]: Simplify 0 into 0 12.768 * [backup-simplify]: Simplify 2 into 2 12.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.769 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.770 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.770 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 12.770 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 12.770 * [taylor]: Taking taylor expansion of 1/2 in im 12.770 * [backup-simplify]: Simplify 1/2 into 1/2 12.770 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.770 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.770 * [taylor]: Taking taylor expansion of im in im 12.770 * [backup-simplify]: Simplify 0 into 0 12.770 * [backup-simplify]: Simplify 1 into 1 12.771 * [backup-simplify]: Simplify (* 1 1) into 1 12.771 * [backup-simplify]: Simplify (/ 1 1) into 1 12.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 12.772 * [backup-simplify]: Simplify 0 into 0 12.772 * [backup-simplify]: Simplify 0 into 0 12.772 * [backup-simplify]: Simplify 0 into 0 12.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.774 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 12.774 * [backup-simplify]: Simplify (+ 0 0) into 0 12.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 12.775 * [backup-simplify]: Simplify (+ 0 0) into 0 12.775 * [taylor]: Taking taylor expansion of 0 in im 12.775 * [backup-simplify]: Simplify 0 into 0 12.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.777 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 12.777 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 12.777 * [backup-simplify]: Simplify (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))) into (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) 12.777 * [approximate]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in (im re) around 0 12.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in re 12.777 * [taylor]: Taking taylor expansion of 2.0 in re 12.777 * [backup-simplify]: Simplify 2.0 into 2.0 12.777 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in re 12.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.777 * [taylor]: Taking taylor expansion of im in re 12.777 * [backup-simplify]: Simplify im into im 12.777 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in re 12.777 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in re 12.777 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in re 12.777 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.777 * [taylor]: Taking taylor expansion of im in re 12.777 * [backup-simplify]: Simplify im into im 12.777 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.777 * [taylor]: Taking taylor expansion of re in re 12.777 * [backup-simplify]: Simplify 0 into 0 12.777 * [backup-simplify]: Simplify 1 into 1 12.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.778 * [backup-simplify]: Simplify (+ (pow im 2) 0) into (pow im 2) 12.778 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 12.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.778 * [backup-simplify]: Simplify (+ 0 0) into 0 12.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 12.778 * [taylor]: Taking taylor expansion of re in re 12.778 * [backup-simplify]: Simplify 0 into 0 12.778 * [backup-simplify]: Simplify 1 into 1 12.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.779 * [backup-simplify]: Simplify (- 0) into 0 12.779 * [backup-simplify]: Simplify (+ im 0) into im 12.779 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 12.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 12.779 * [taylor]: Taking taylor expansion of 2.0 in im 12.779 * [backup-simplify]: Simplify 2.0 into 2.0 12.779 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 12.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.779 * [taylor]: Taking taylor expansion of im in im 12.779 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify 1 into 1 12.779 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 12.779 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.779 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.779 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.779 * [taylor]: Taking taylor expansion of im in im 12.779 * [backup-simplify]: Simplify 0 into 0 12.779 * [backup-simplify]: Simplify 1 into 1 12.779 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.779 * [taylor]: Taking taylor expansion of re in im 12.779 * [backup-simplify]: Simplify re into re 12.780 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.780 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.780 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.780 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.780 * [backup-simplify]: Simplify (+ 0 0) into 0 12.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.780 * [taylor]: Taking taylor expansion of re in im 12.780 * [backup-simplify]: Simplify re into re 12.781 * [backup-simplify]: Simplify (* 1 1) into 1 12.781 * [backup-simplify]: Simplify (- re) into (- re) 12.781 * [backup-simplify]: Simplify (+ re (- re)) into 0 12.781 * [backup-simplify]: Simplify (- 0) into 0 12.781 * [backup-simplify]: Simplify (+ 0 0) into 0 12.782 * [backup-simplify]: Simplify (* 1 1) into 1 12.782 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 12.783 * [backup-simplify]: Simplify (+ 1 0) into 1 12.783 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 12.784 * [backup-simplify]: Simplify (- 0) into 0 12.784 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 12.784 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 12.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re))) in im 12.784 * [taylor]: Taking taylor expansion of 2.0 in im 12.784 * [backup-simplify]: Simplify 2.0 into 2.0 12.784 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow im 2) (pow re 2))) re)) in im 12.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.784 * [taylor]: Taking taylor expansion of im in im 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow im 2) (pow re 2))) re) in im 12.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow im 2) (pow re 2))) in im 12.784 * [taylor]: Taking taylor expansion of (+ (pow im 2) (pow re 2)) in im 12.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.784 * [taylor]: Taking taylor expansion of im in im 12.784 * [backup-simplify]: Simplify 0 into 0 12.784 * [backup-simplify]: Simplify 1 into 1 12.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.784 * [taylor]: Taking taylor expansion of re in im 12.784 * [backup-simplify]: Simplify re into re 12.785 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.785 * [backup-simplify]: Simplify (+ 0 (pow re 2)) into (pow re 2) 12.785 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 12.785 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.785 * [backup-simplify]: Simplify (+ 0 0) into 0 12.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 12.785 * [taylor]: Taking taylor expansion of re in im 12.785 * [backup-simplify]: Simplify re into re 12.786 * [backup-simplify]: Simplify (* 1 1) into 1 12.786 * [backup-simplify]: Simplify (- re) into (- re) 12.786 * [backup-simplify]: Simplify (+ re (- re)) into 0 12.786 * [backup-simplify]: Simplify (- 0) into 0 12.787 * [backup-simplify]: Simplify (+ 0 0) into 0 12.787 * [backup-simplify]: Simplify (* 1 1) into 1 12.787 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 12.788 * [backup-simplify]: Simplify (+ 1 0) into 1 12.788 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 12.789 * [backup-simplify]: Simplify (- 0) into 0 12.789 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 12.789 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 12.789 * [backup-simplify]: Simplify (* 2.0 (* 2 re)) into (* 4.0 re) 12.789 * [taylor]: Taking taylor expansion of (* 4.0 re) in re 12.789 * [taylor]: Taking taylor expansion of 4.0 in re 12.789 * [backup-simplify]: Simplify 4.0 into 4.0 12.789 * [taylor]: Taking taylor expansion of re in re 12.789 * [backup-simplify]: Simplify 0 into 0 12.789 * [backup-simplify]: Simplify 1 into 1 12.790 * [backup-simplify]: Simplify (* 4.0 0) into 0 12.790 * [backup-simplify]: Simplify 0 into 0 12.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.792 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 12.792 * [backup-simplify]: Simplify (+ 0 0) into 0 12.792 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 12.793 * [backup-simplify]: Simplify (- 0) into 0 12.793 * [backup-simplify]: Simplify (+ 0 0) into 0 12.793 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 12.794 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* 2 re))) into 0 12.794 * [taylor]: Taking taylor expansion of 0 in re 12.794 * [backup-simplify]: Simplify 0 into 0 12.794 * [backup-simplify]: Simplify 0 into 0 12.796 * [backup-simplify]: Simplify (+ (* 4.0 1) (* 0 0)) into 4.0 12.796 * [backup-simplify]: Simplify 4.0 into 4.0 12.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.799 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 12.799 * [backup-simplify]: Simplify (+ 0 0) into 0 12.800 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 12.800 * [backup-simplify]: Simplify (- 0) into 0 12.800 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 12.801 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 12.801 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re)))) into (* 1.0 (/ 1 re)) 12.801 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 re)) in re 12.801 * [taylor]: Taking taylor expansion of 1.0 in re 12.801 * [backup-simplify]: Simplify 1.0 into 1.0 12.801 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.801 * [taylor]: Taking taylor expansion of re in re 12.801 * [backup-simplify]: Simplify 0 into 0 12.801 * [backup-simplify]: Simplify 1 into 1 12.802 * [backup-simplify]: Simplify (/ 1 1) into 1 12.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.803 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.803 * [backup-simplify]: Simplify 0 into 0 12.803 * [backup-simplify]: Simplify 0 into 0 12.804 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 1) (* 0 0))) into 0 12.804 * [backup-simplify]: Simplify 0 into 0 12.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.808 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 12.808 * [backup-simplify]: Simplify (+ 0 0) into 0 12.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 12.809 * [backup-simplify]: Simplify (- 0) into 0 12.809 * [backup-simplify]: Simplify (+ 0 0) into 0 12.810 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 12.811 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 (* 2 re))))) into 0 12.811 * [taylor]: Taking taylor expansion of 0 in re 12.811 * [backup-simplify]: Simplify 0 into 0 12.811 * [backup-simplify]: Simplify 0 into 0 12.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.813 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.813 * [backup-simplify]: Simplify 0 into 0 12.813 * [backup-simplify]: Simplify 0 into 0 12.813 * [backup-simplify]: Simplify (* 4.0 (* re 1)) into (* 4.0 re) 12.813 * [backup-simplify]: Simplify (/ (/ 1 im) (/ (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) (* (/ 1 im) 2.0))) into (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) 12.813 * [approximate]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in (im re) around 0 12.813 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in re 12.813 * [taylor]: Taking taylor expansion of 2.0 in re 12.813 * [backup-simplify]: Simplify 2.0 into 2.0 12.813 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in re 12.814 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.814 * [taylor]: Taking taylor expansion of im in re 12.814 * [backup-simplify]: Simplify im into im 12.814 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in re 12.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.814 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.814 * [taylor]: Taking taylor expansion of re in re 12.814 * [backup-simplify]: Simplify 0 into 0 12.814 * [backup-simplify]: Simplify 1 into 1 12.814 * [backup-simplify]: Simplify (* 1 1) into 1 12.815 * [backup-simplify]: Simplify (/ 1 1) into 1 12.815 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.815 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.815 * [taylor]: Taking taylor expansion of im in re 12.815 * [backup-simplify]: Simplify im into im 12.815 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.815 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.815 * [backup-simplify]: Simplify (+ 1 0) into 1 12.816 * [backup-simplify]: Simplify (sqrt 1) into 1 12.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.817 * [backup-simplify]: Simplify (+ 0 0) into 0 12.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.818 * [taylor]: Taking taylor expansion of re in re 12.818 * [backup-simplify]: Simplify 0 into 0 12.818 * [backup-simplify]: Simplify 1 into 1 12.818 * [backup-simplify]: Simplify (/ 1 1) into 1 12.819 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.819 * [backup-simplify]: Simplify (- 1) into -1 12.819 * [backup-simplify]: Simplify (+ 1 -1) into 0 12.819 * [backup-simplify]: Simplify (* (pow im 2) 0) into 0 12.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.821 * [backup-simplify]: Simplify (- 0) into 0 12.821 * [backup-simplify]: Simplify (+ 0 0) into 0 12.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 12.821 * [backup-simplify]: Simplify (+ (* (pow im 2) 0) (* 0 0)) into 0 12.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.822 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 12.823 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 12.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.824 * [backup-simplify]: Simplify (- 0) into 0 12.824 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 12.824 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 12.825 * [backup-simplify]: Simplify (+ (* (pow im 2) (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into 1/2 12.825 * [backup-simplify]: Simplify (/ 2.0 1/2) into 4.0 12.825 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 12.825 * [taylor]: Taking taylor expansion of 2.0 in im 12.825 * [backup-simplify]: Simplify 2.0 into 2.0 12.825 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 12.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.825 * [taylor]: Taking taylor expansion of im in im 12.825 * [backup-simplify]: Simplify 0 into 0 12.825 * [backup-simplify]: Simplify 1 into 1 12.825 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.825 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.825 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.825 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.825 * [taylor]: Taking taylor expansion of re in im 12.825 * [backup-simplify]: Simplify re into re 12.825 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.825 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.825 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.825 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.825 * [taylor]: Taking taylor expansion of im in im 12.825 * [backup-simplify]: Simplify 0 into 0 12.826 * [backup-simplify]: Simplify 1 into 1 12.826 * [backup-simplify]: Simplify (* 1 1) into 1 12.826 * [backup-simplify]: Simplify (/ 1 1) into 1 12.826 * [backup-simplify]: Simplify (+ 0 1) into 1 12.826 * [backup-simplify]: Simplify (sqrt 1) into 1 12.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.828 * [backup-simplify]: Simplify (+ 0 0) into 0 12.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.828 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.828 * [taylor]: Taking taylor expansion of re in im 12.828 * [backup-simplify]: Simplify re into re 12.828 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.828 * [backup-simplify]: Simplify (* 1 1) into 1 12.829 * [backup-simplify]: Simplify (+ 1 0) into 1 12.829 * [backup-simplify]: Simplify (* 1 1) into 1 12.829 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 12.829 * [taylor]: Taking taylor expansion of (/ 2.0 (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)))) in im 12.829 * [taylor]: Taking taylor expansion of 2.0 in im 12.829 * [backup-simplify]: Simplify 2.0 into 2.0 12.829 * [taylor]: Taking taylor expansion of (* (pow im 2) (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re))) in im 12.829 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.829 * [taylor]: Taking taylor expansion of im in im 12.829 * [backup-simplify]: Simplify 0 into 0 12.829 * [backup-simplify]: Simplify 1 into 1 12.829 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) (/ 1 re)) in im 12.829 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.829 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.829 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.829 * [taylor]: Taking taylor expansion of re in im 12.829 * [backup-simplify]: Simplify re into re 12.829 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.829 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.829 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.830 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.830 * [taylor]: Taking taylor expansion of im in im 12.830 * [backup-simplify]: Simplify 0 into 0 12.830 * [backup-simplify]: Simplify 1 into 1 12.830 * [backup-simplify]: Simplify (* 1 1) into 1 12.830 * [backup-simplify]: Simplify (/ 1 1) into 1 12.830 * [backup-simplify]: Simplify (+ 0 1) into 1 12.831 * [backup-simplify]: Simplify (sqrt 1) into 1 12.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.832 * [backup-simplify]: Simplify (+ 0 0) into 0 12.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.832 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.832 * [taylor]: Taking taylor expansion of re in im 12.832 * [backup-simplify]: Simplify re into re 12.832 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.832 * [backup-simplify]: Simplify (* 1 1) into 1 12.833 * [backup-simplify]: Simplify (+ 1 0) into 1 12.833 * [backup-simplify]: Simplify (* 1 1) into 1 12.833 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 12.833 * [taylor]: Taking taylor expansion of 2.0 in re 12.833 * [backup-simplify]: Simplify 2.0 into 2.0 12.833 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 12.833 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 12.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.834 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 re))) (* 0 1)) into (- (/ 1 re)) 12.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (- (/ 1 re)) 1)))) into (* 2.0 (/ 1 re)) 12.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 12.834 * [taylor]: Taking taylor expansion of 2.0 in re 12.835 * [backup-simplify]: Simplify 2.0 into 2.0 12.835 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.835 * [taylor]: Taking taylor expansion of re in re 12.835 * [backup-simplify]: Simplify 0 into 0 12.835 * [backup-simplify]: Simplify 1 into 1 12.835 * [backup-simplify]: Simplify (/ 1 1) into 1 12.835 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 12.835 * [backup-simplify]: Simplify 2.0 into 2.0 12.835 * [backup-simplify]: Simplify 2.0 into 2.0 12.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.840 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 12.841 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.841 * [backup-simplify]: Simplify (- 0) into 0 12.841 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 12.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.842 * [backup-simplify]: Simplify (+ (* 1 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1))) into (* 1/2 (/ 1 (pow re 2))) 12.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 2.0 (/ 1 re)) (/ (- (/ 1 re)) 1)))) into (* 1.0 (/ 1 (pow re 2))) 12.843 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 12.843 * [taylor]: Taking taylor expansion of 1.0 in re 12.843 * [backup-simplify]: Simplify 1.0 into 1.0 12.843 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.843 * [taylor]: Taking taylor expansion of re in re 12.843 * [backup-simplify]: Simplify 0 into 0 12.843 * [backup-simplify]: Simplify 1 into 1 12.843 * [backup-simplify]: Simplify (* 1 1) into 1 12.843 * [backup-simplify]: Simplify (/ 1 1) into 1 12.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.845 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.845 * [backup-simplify]: Simplify 0 into 0 12.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.846 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify 0 into 0 12.846 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 12.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 12.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.847 * [backup-simplify]: Simplify (+ 0 0) into 0 12.848 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 12.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 12.848 * [backup-simplify]: Simplify (- 0) into 0 12.848 * [backup-simplify]: Simplify (+ 0 0) into 0 12.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 1/2 (/ 1 (pow re 2)))) (+ (* 0 (- (/ 1 re))) (* 0 1)))) into 0 12.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ 0 1)) (* (* 2.0 (/ 1 re)) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1.0 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 12.851 * [taylor]: Taking taylor expansion of 0 in re 12.851 * [backup-simplify]: Simplify 0 into 0 12.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.854 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.854 * [backup-simplify]: Simplify 0 into 0 12.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify 0 into 0 12.857 * [backup-simplify]: Simplify (+ (* 2.0 (* 1 (/ 1 (/ 1 im)))) (* 2.0 (* (/ 1 (/ 1 re)) 1))) into (+ (* 2.0 re) (* 2.0 im)) 12.858 * [backup-simplify]: Simplify (/ (/ 1 (- im)) (/ (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) (* (/ 1 (- im)) 2.0))) into (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) 12.858 * [approximate]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in (im re) around 0 12.858 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in re 12.858 * [taylor]: Taking taylor expansion of 2.0 in re 12.858 * [backup-simplify]: Simplify 2.0 into 2.0 12.858 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in re 12.858 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in re 12.858 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.858 * [taylor]: Taking taylor expansion of re in re 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 1 into 1 12.858 * [backup-simplify]: Simplify (/ 1 1) into 1 12.858 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in re 12.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in re 12.858 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.858 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.858 * [taylor]: Taking taylor expansion of re in re 12.858 * [backup-simplify]: Simplify 0 into 0 12.858 * [backup-simplify]: Simplify 1 into 1 12.859 * [backup-simplify]: Simplify (* 1 1) into 1 12.859 * [backup-simplify]: Simplify (/ 1 1) into 1 12.859 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 12.859 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.859 * [taylor]: Taking taylor expansion of im in re 12.859 * [backup-simplify]: Simplify im into im 12.859 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.859 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 12.860 * [backup-simplify]: Simplify (+ 1 0) into 1 12.860 * [backup-simplify]: Simplify (sqrt 1) into 1 12.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.862 * [backup-simplify]: Simplify (+ 0 0) into 0 12.863 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.863 * [taylor]: Taking taylor expansion of (pow im 2) in re 12.863 * [taylor]: Taking taylor expansion of im in re 12.863 * [backup-simplify]: Simplify im into im 12.863 * [backup-simplify]: Simplify (+ 1 1) into 2 12.863 * [backup-simplify]: Simplify (* im im) into (pow im 2) 12.863 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 12.864 * [backup-simplify]: Simplify (/ 2.0 (* 2 (pow im 2))) into (/ 1.0 (pow im 2)) 12.864 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 12.864 * [taylor]: Taking taylor expansion of 2.0 in im 12.864 * [backup-simplify]: Simplify 2.0 into 2.0 12.864 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 12.864 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.864 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.864 * [taylor]: Taking taylor expansion of re in im 12.864 * [backup-simplify]: Simplify re into re 12.864 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.864 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.864 * [taylor]: Taking taylor expansion of re in im 12.864 * [backup-simplify]: Simplify re into re 12.864 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.864 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.864 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.864 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.864 * [taylor]: Taking taylor expansion of im in im 12.864 * [backup-simplify]: Simplify 0 into 0 12.864 * [backup-simplify]: Simplify 1 into 1 12.865 * [backup-simplify]: Simplify (* 1 1) into 1 12.865 * [backup-simplify]: Simplify (/ 1 1) into 1 12.865 * [backup-simplify]: Simplify (+ 0 1) into 1 12.866 * [backup-simplify]: Simplify (sqrt 1) into 1 12.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.867 * [backup-simplify]: Simplify (+ 0 0) into 0 12.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.867 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.867 * [taylor]: Taking taylor expansion of im in im 12.867 * [backup-simplify]: Simplify 0 into 0 12.867 * [backup-simplify]: Simplify 1 into 1 12.867 * [backup-simplify]: Simplify (+ 0 1) into 1 12.868 * [backup-simplify]: Simplify (* 1 1) into 1 12.868 * [backup-simplify]: Simplify (* 1 1) into 1 12.868 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 12.868 * [taylor]: Taking taylor expansion of (/ 2.0 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2))) in im 12.868 * [taylor]: Taking taylor expansion of 2.0 in im 12.868 * [backup-simplify]: Simplify 2.0 into 2.0 12.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) (pow im 2)) in im 12.868 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))))) in im 12.868 * [taylor]: Taking taylor expansion of (/ 1 re) in im 12.868 * [taylor]: Taking taylor expansion of re in im 12.868 * [backup-simplify]: Simplify re into re 12.868 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 12.868 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow re 2)) (/ 1 (pow im 2)))) in im 12.868 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow re 2)) (/ 1 (pow im 2))) in im 12.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 12.868 * [taylor]: Taking taylor expansion of (pow re 2) in im 12.868 * [taylor]: Taking taylor expansion of re in im 12.868 * [backup-simplify]: Simplify re into re 12.868 * [backup-simplify]: Simplify (* re re) into (pow re 2) 12.869 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 12.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 12.869 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.869 * [taylor]: Taking taylor expansion of im in im 12.869 * [backup-simplify]: Simplify 0 into 0 12.869 * [backup-simplify]: Simplify 1 into 1 12.869 * [backup-simplify]: Simplify (* 1 1) into 1 12.869 * [backup-simplify]: Simplify (/ 1 1) into 1 12.869 * [backup-simplify]: Simplify (+ 0 1) into 1 12.870 * [backup-simplify]: Simplify (sqrt 1) into 1 12.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.871 * [backup-simplify]: Simplify (+ 0 0) into 0 12.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 12.871 * [taylor]: Taking taylor expansion of (pow im 2) in im 12.871 * [taylor]: Taking taylor expansion of im in im 12.871 * [backup-simplify]: Simplify 0 into 0 12.871 * [backup-simplify]: Simplify 1 into 1 12.871 * [backup-simplify]: Simplify (+ 0 1) into 1 12.872 * [backup-simplify]: Simplify (* 1 1) into 1 12.872 * [backup-simplify]: Simplify (* 1 1) into 1 12.872 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 12.872 * [taylor]: Taking taylor expansion of 2.0 in re 12.872 * [backup-simplify]: Simplify 2.0 into 2.0 12.872 * [backup-simplify]: Simplify 0 into 0 12.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.873 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 12.873 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 12.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (/ 1 re) 1)))) into (- (* 2.0 (/ 1 re))) 12.874 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 re))) in re 12.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 re)) in re 12.874 * [taylor]: Taking taylor expansion of 2.0 in re 12.874 * [backup-simplify]: Simplify 2.0 into 2.0 12.874 * [taylor]: Taking taylor expansion of (/ 1 re) in re 12.874 * [taylor]: Taking taylor expansion of re in re 12.874 * [backup-simplify]: Simplify 0 into 0 12.874 * [backup-simplify]: Simplify 1 into 1 12.874 * [backup-simplify]: Simplify (/ 1 1) into 1 12.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.876 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 12.876 * [backup-simplify]: Simplify (- 0) into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.876 * [backup-simplify]: Simplify 0 into 0 12.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 12.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.878 * [backup-simplify]: Simplify (+ (/ 1 (pow re 2)) 0) into (/ 1 (pow re 2)) 12.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 12.879 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 12.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 12.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2.0 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (* 2.0 (/ 1 re))) (/ (/ 1 re) 1)))) into (* 1.0 (/ 1 (pow re 2))) 12.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow re 2))) in re 12.880 * [taylor]: Taking taylor expansion of 1.0 in re 12.880 * [backup-simplify]: Simplify 1.0 into 1.0 12.880 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 12.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 12.880 * [taylor]: Taking taylor expansion of re in re 12.880 * [backup-simplify]: Simplify 0 into 0 12.880 * [backup-simplify]: Simplify 1 into 1 12.880 * [backup-simplify]: Simplify (* 1 1) into 1 12.880 * [backup-simplify]: Simplify (/ 1 1) into 1 12.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.884 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.884 * [backup-simplify]: Simplify 0 into 0 12.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.886 * [backup-simplify]: Simplify (- 0) into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * [backup-simplify]: Simplify 0 into 0 12.886 * * * [progress]: simplifying candidates 12.886 * * * * [progress]: [ 1 / 153 ] simplifiying candidate # 12.886 * * * * [progress]: [ 2 / 153 ] simplifiying candidate # 12.886 * * * * [progress]: [ 3 / 153 ] 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# 12.887 * * * * [progress]: [ 18 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 19 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 20 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 21 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 22 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 23 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 24 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 25 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 26 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 27 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 28 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 29 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 30 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 31 / 153 ] simplifiying candidate # 12.887 * * * * [progress]: [ 32 / 153 ] simplifiying candidate # 12.887 * * * * 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12.889 * * * * [progress]: [ 64 / 153 ] simplifiying candidate #real (real->posit16 (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))))))> 12.889 * * * * [progress]: [ 65 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 66 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 67 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 68 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 69 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 70 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 71 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 72 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 73 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 74 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 75 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 76 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 77 / 153 ] simplifiying candidate # 12.889 * * * * [progress]: [ 78 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 79 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 80 / 153 ] simplifiying candidate #real (real->posit16 (- (sqrt (+ (* re re) (* im im))) re))) (* im 2.0))))))> 12.890 * * * * [progress]: [ 81 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 82 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 83 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 84 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 85 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 86 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 87 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 88 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 89 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 90 / 153 ] simplifiying candidate # 12.890 * * * * [progress]: [ 91 / 153 ] simplifiying candidate # 12.890 * * * * 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simplifiying candidate # 12.894 * * * * [progress]: [ 138 / 153 ] simplifiying candidate # 12.894 * * * * [progress]: [ 139 / 153 ] simplifiying candidate # 12.894 * * * * [progress]: [ 140 / 153 ] simplifiying candidate # 12.894 * * * * [progress]: [ 141 / 153 ] simplifiying candidate #real (real->posit16 (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))))))> 12.895 * * * * [progress]: [ 142 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 143 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 144 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 145 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 146 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 147 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 148 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 149 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 150 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 151 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 152 / 153 ] simplifiying candidate # 12.895 * * * * [progress]: [ 153 / 153 ] simplifiying candidate # 12.899 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (real->posit16 (sqrt (+ (* re re) (* im im)))) (log (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (exp (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (* (cbrt (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (cbrt (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))))) (cbrt (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (* (* (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))) (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (* (cbrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))) (cbrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))))) (sqrt (cbrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (* (cbrt im) (cbrt im)) (* (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))))) (sqrt (/ (cbrt im) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (* (cbrt im) (cbrt im)) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (cbrt im) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (* (cbrt im) (cbrt im)) (/ (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) im))) (sqrt (/ (cbrt im) (/ (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (/ (* (cbrt im) (cbrt im)) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) im))) (sqrt (/ (cbrt im) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (/ (* (cbrt im) (cbrt im)) (/ 1 im))) (sqrt (/ (cbrt im) (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (/ (* (cbrt im) (cbrt im)) (/ (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) im))) (sqrt (/ (cbrt im) (/ (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 2.0))) (sqrt (/ (* (cbrt im) (cbrt im)) (/ (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) im))) (sqrt (/ (cbrt im) (/ (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 2.0))) (sqrt (/ (* (cbrt im) (cbrt im)) (/ 1 im))) (sqrt (/ (cbrt im) (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (/ (* (cbrt im) (cbrt im)) 1)) (sqrt (/ (cbrt im) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))) (sqrt (/ (* (cbrt im) (cbrt im)) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (cbrt im) (/ 1 (* im 2.0)))) (sqrt (/ (sqrt im) (* (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))))) (sqrt (/ (sqrt im) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (sqrt im) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (sqrt im) (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ (sqrt im) (/ (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) im))) (sqrt (/ (sqrt im) (/ (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (/ (sqrt im) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) im))) (sqrt (/ (sqrt im) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (/ (sqrt im) (/ 1 im))) (sqrt (/ (sqrt im) (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (/ (sqrt im) (/ (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) im))) (sqrt (/ (sqrt im) (/ (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 2.0))) (sqrt (/ (sqrt im) (/ (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) im))) (sqrt (/ (sqrt im) (/ (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 2.0))) (sqrt (/ (sqrt im) (/ 1 im))) (sqrt (/ (sqrt im) (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (/ (sqrt im) 1)) (sqrt (/ (sqrt im) (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))) (sqrt (/ (sqrt im) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (sqrt im) (/ 1 (* im 2.0)))) (sqrt (/ 1 (* (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0)))))) (sqrt (/ im (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ 1 (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ im (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* im 2.0))))) (sqrt (/ 1 (/ (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) im))) (sqrt (/ im (/ (cbrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (/ 1 (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) im))) (sqrt (/ im (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (/ 1 (/ 1 im))) (sqrt (/ im (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0))) (sqrt (/ 1 (/ (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) im))) (sqrt (/ im (/ (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) 2.0))) (sqrt (/ 1 (/ (+ (sqrt (sqrt (+ (* re re) (* im 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(/ (/ (* (sqrt im) im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (* 2.0 (/ (sqrt im) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (/ (sqrt im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) im) (/ (sqrt im) (/ (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 2.0)) (* (sqrt im) im) (/ (* (sqrt im) 2.0) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* (sqrt im) im) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2.0 (/ (sqrt im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ (* (sqrt im) im) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2.0 (/ (sqrt im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (sqrt im) im) (/ (* (sqrt im) 2.0) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt im) (* (* 2.0 im) (/ (sqrt im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt im) (- (sqrt (+ (* re re) (* im im))) re)) (* (* (sqrt im) im) 2.0) (/ (/ 1 (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (/ im (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (/ 1 (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (/ im (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (/ im (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (* 2.0 im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (/ im (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 2.0) im (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2.0 (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (/ im (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* 2.0 (/ im (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) im (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re)) 1 (/ 2.0 (/ (- (sqrt (+ (* re re) (* im im))) re) (* im im))) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (* (* im im) 2.0) (/ (* 2.0 im) (- (sqrt (+ (* re re) (* im im))) re)) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0) (* im im)) (/ (/ im (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (cbrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (/ im (sqrt (/ (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 im)))) (/ (/ (* im im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* im im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* im im) (/ (* im im) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (/ (* im im) (+ (sqrt re) (sqrt (sqrt (+ (* re re) (* im im)))))) (* im im) im (/ im (- (sqrt (+ (* re re) (* im im))) re)) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) (* (cbrt im) im)) 2.0) (/ (- (sqrt (+ (* re re) (* im im))) re) (* (* (sqrt im) im) 2.0)) (/ (/ (- (sqrt (+ (* re re) (* im im))) re) 2.0) (* im im)) (/ im (- (sqrt (+ (* re re) (* im im))) re)) (real->posit16 (/ 2.0 (/ (- (sqrt (+ (* re re) (* im im))) re) (* im im)))) im re (- re) (* +nan.0 (+ (- (/ (sqrt 2.0) (/ (sqrt 2) (* im im)))) (* (* (sqrt 2.0) (sqrt 2)) (- re (* re re))))) (+ (* (/ +nan.0 im) (- (/ (sqrt 2.0) (/ im re)))) (* (- (sqrt 2.0) (/ (sqrt 2.0) (/ im re))) +nan.0)) (* +nan.0 (+ (- (sqrt 2.0)) (- (/ (sqrt 2.0) im) (/ (sqrt 2.0) (* im im))))) (- im re) 0 (* -2 re) (* re 4.0) (* 2.0 (+ re im)) 0 16.293 * * * [progress]: adding candidates to table 18.093 * [progress]: [Phase 3 of 3] Extracting. 18.094 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 18.097 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (+ (sqrt (+ (* re re) (* im im))) re) (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re) 18.097 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 18.164 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 18.213 * * * * [regimes]: Trying to branch on (+ (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # #) 18.289 * * * * [regimes]: Trying to branch on (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # #) 18.372 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # # #) 18.476 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # # #) 18.611 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 18.809 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 18.894 * * * [regime]: Found split indices: #