49.486 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.023 * * [simplify]: Extracting # 0 : cost 0 0.023 * * [simplify]: Extracting # 1 : cost 0 0.023 * * [simplify]: Extracting # 2 : cost 0 0.023 * * [simplify]: Extracting # 3 : cost 0 0.023 * * [simplify]: Extracting # 4 : cost 0 0.023 * * [simplify]: Extracting # 5 : cost 0 0.023 * * [simplify]: iteration 0 : 9 enodes (cost 19 ) 0.024 * * [simplify]: Extracting # 0 : cost 0 0.024 * * [simplify]: Extracting # 1 : cost 0 0.024 * * [simplify]: Extracting # 2 : cost 0 0.024 * * [simplify]: iteration 1 : 17 enodes (cost 19 ) 0.027 * * [simplify]: Extracting # 0 : cost 0 0.027 * * [simplify]: Extracting # 1 : cost 0 0.027 * * [simplify]: Extracting # 2 : cost 0 0.027 * * [simplify]: iteration 2 : 35 enodes (cost 19 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.035 * * [simplify]: Extracting # 2 : cost 0 0.035 * * [simplify]: iteration 3 : 67 enodes (cost 19 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: Extracting # 1 : cost 0 0.049 * * [simplify]: Extracting # 2 : cost 0 0.049 * * [simplify]: iteration 4 : 111 enodes (cost 19 ) 0.077 * * [simplify]: Extracting # 0 : cost 0 0.077 * * [simplify]: Extracting # 1 : cost 0 0.077 * * [simplify]: Extracting # 2 : cost 0 0.077 * * [simplify]: iteration 5 : 158 enodes (cost 19 ) 0.132 * * [simplify]: Extracting # 0 : cost 0 0.132 * * [simplify]: Extracting # 1 : cost 0 0.132 * * [simplify]: Extracting # 2 : cost 0 0.132 * * [simplify]: iteration 6 : 173 enodes (cost 19 ) 0.178 * * [simplify]: Extracting # 0 : cost 0 0.178 * * [simplify]: iteration 7 : 174 enodes (cost 19 ) 0.220 * * [simplify]: Extracting # 0 : cost 0 0.220 * * [simplify]: iteration done: 174 enodes (cost 19 ) 0.220 * [simplify]: Simplified to: (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 0.221 * * [progress]: iteration 1 / 4 0.221 * * * [progress]: picking best candidate 0.222 * * * * [pick]: Picked # 0.222 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.273 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.287 * * * [progress]: generating series expansions 0.287 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.288 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) 0.288 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 0.288 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 0.288 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of 4.0 in y 0.288 * [backup-simplify]: Simplify 4.0 into 4.0 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 0.288 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.288 * [taylor]: Taking taylor expansion of x in y 0.288 * [backup-simplify]: Simplify x into x 0.288 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.288 * [taylor]: Taking taylor expansion of 4.0 in y 0.288 * [backup-simplify]: Simplify 4.0 into 4.0 0.288 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.288 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.288 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.288 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.289 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.289 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.289 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of 4.0 in x 0.289 * [backup-simplify]: Simplify 4.0 into 4.0 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [backup-simplify]: Simplify y into y 0.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.289 * [taylor]: Taking taylor expansion of x in x 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.289 * [taylor]: Taking taylor expansion of 4.0 in x 0.289 * [backup-simplify]: Simplify 4.0 into 4.0 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.289 * [taylor]: Taking taylor expansion of y in x 0.289 * [backup-simplify]: Simplify y into y 0.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.289 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.289 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.289 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.289 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.289 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.290 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.290 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.290 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 0.290 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of 4.0 in x 0.290 * [backup-simplify]: Simplify 4.0 into 4.0 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [backup-simplify]: Simplify y into y 0.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 0.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.290 * [taylor]: Taking taylor expansion of x in x 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.290 * [taylor]: Taking taylor expansion of 4.0 in x 0.290 * [backup-simplify]: Simplify 4.0 into 4.0 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.290 * [taylor]: Taking taylor expansion of y in x 0.290 * [backup-simplify]: Simplify y into y 0.290 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.290 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.290 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.291 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.291 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.291 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.291 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 0.291 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0 0.291 * [taylor]: Taking taylor expansion of -1.0 in y 0.291 * [backup-simplify]: Simplify -1.0 into -1.0 0.291 * [backup-simplify]: Simplify -1.0 into -1.0 0.291 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.292 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.293 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.294 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.295 * [backup-simplify]: Simplify (- 0) into 0 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2))) 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 0.301 * [taylor]: Taking taylor expansion of 0.5 in y 0.301 * [backup-simplify]: Simplify 0.5 into 0.5 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in y 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify -1.0 into -1.0 0.310 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.310 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.310 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.310 * [taylor]: Taking taylor expansion of x in y 0.310 * [backup-simplify]: Simplify x into x 0.310 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.310 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.310 * [taylor]: Taking taylor expansion of 4.0 in y 0.310 * [backup-simplify]: Simplify 4.0 into 4.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.310 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (* 1 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.311 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.311 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.311 * [taylor]: Taking taylor expansion of 4.0 in y 0.311 * [backup-simplify]: Simplify 4.0 into 4.0 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.312 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.313 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.313 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.313 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.314 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.314 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.314 * [taylor]: Taking taylor expansion of 4.0 in x 0.314 * [backup-simplify]: Simplify 4.0 into 4.0 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.315 * [taylor]: Taking taylor expansion of y in x 0.315 * [backup-simplify]: Simplify y into y 0.315 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.315 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.315 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.316 * [taylor]: Taking taylor expansion of 4.0 in x 0.316 * [backup-simplify]: Simplify 4.0 into 4.0 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [backup-simplify]: Simplify y into y 0.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.316 * [backup-simplify]: Simplify (+ 1 0) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.318 * [taylor]: Taking taylor expansion of 4.0 in x 0.318 * [backup-simplify]: Simplify 4.0 into 4.0 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [backup-simplify]: Simplify y into y 0.318 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of 4.0 in x 0.319 * [backup-simplify]: Simplify 4.0 into 4.0 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [backup-simplify]: Simplify y into y 0.319 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.319 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.320 * [backup-simplify]: Simplify (+ 1 0) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.326 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.327 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.329 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.330 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.330 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.330 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of 8.0 in y 0.330 * [backup-simplify]: Simplify 8.0 into 8.0 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.334 * [backup-simplify]: Simplify (- 0) into 0 0.334 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.338 * [backup-simplify]: Simplify (- 0) into 0 0.338 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 0 into 0 0.343 * [backup-simplify]: Simplify 1 into 1 0.344 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) 0.344 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [backup-simplify]: Simplify x into x 0.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.344 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of 4.0 in y 0.344 * [backup-simplify]: Simplify 4.0 into 4.0 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify 1 into 1 0.345 * [backup-simplify]: Simplify (* 1 1) into 1 0.345 * [backup-simplify]: Simplify (/ 1 1) into 1 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [backup-simplify]: Simplify x into x 0.345 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.345 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.345 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.345 * [taylor]: Taking taylor expansion of 4.0 in y 0.345 * [backup-simplify]: Simplify 4.0 into 4.0 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.347 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.348 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0) 0.348 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.348 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 0.349 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0 0.349 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 1 into 1 0.350 * [backup-simplify]: Simplify (* 1 1) into 1 0.350 * [backup-simplify]: Simplify (/ 1 1) into 1 0.350 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of 4.0 in x 0.350 * [backup-simplify]: Simplify 4.0 into 4.0 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [backup-simplify]: Simplify y into y 0.350 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.351 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.351 * [taylor]: Taking taylor expansion of x in x 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.351 * [backup-simplify]: Simplify (* 1 1) into 1 0.351 * [backup-simplify]: Simplify (/ 1 1) into 1 0.351 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.351 * [taylor]: Taking taylor expansion of 4.0 in x 0.351 * [backup-simplify]: Simplify 4.0 into 4.0 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [backup-simplify]: Simplify y into y 0.352 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.352 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (+ 1 0) into 1 0.353 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.354 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.354 * [taylor]: Taking taylor expansion of 4.0 in x 0.354 * [backup-simplify]: Simplify 4.0 into 4.0 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [backup-simplify]: Simplify y into y 0.354 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.354 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of 4.0 in x 0.355 * [backup-simplify]: Simplify 4.0 into 4.0 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [backup-simplify]: Simplify y into y 0.355 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of 1 in y 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 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 (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.360 * [taylor]: Taking taylor expansion of 0 in y 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.362 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.363 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.363 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.365 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 0.366 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2)))) 0.366 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 0.366 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 0.366 * [taylor]: Taking taylor expansion of 8.0 in y 0.366 * [backup-simplify]: Simplify 8.0 into 8.0 0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.366 * [taylor]: Taking taylor expansion of y in y 0.366 * [backup-simplify]: Simplify 0 into 0 0.366 * [backup-simplify]: Simplify 1 into 1 0.366 * [backup-simplify]: Simplify (* 1 1) into 1 0.367 * [backup-simplify]: Simplify (/ 1 1) into 1 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (- 0) into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.371 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.377 * [backup-simplify]: Simplify (+ 0 0) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.379 * [taylor]: Taking taylor expansion of 0 in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.379 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2))) 0.379 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [backup-simplify]: Simplify x into x 0.379 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of 4.0 in y 0.379 * [backup-simplify]: Simplify 4.0 into 4.0 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.379 * [taylor]: Taking taylor expansion of x in x 0.379 * [backup-simplify]: Simplify 0 into 0 0.379 * [backup-simplify]: Simplify 1 into 1 0.379 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.379 * [taylor]: Taking taylor expansion of 4.0 in x 0.379 * [backup-simplify]: Simplify 4.0 into 4.0 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.380 * [backup-simplify]: Simplify 0 into 0 0.380 * [backup-simplify]: Simplify 1 into 1 0.380 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 0.380 * [taylor]: Taking taylor expansion of 4.0 in x 0.380 * [backup-simplify]: Simplify 4.0 into 4.0 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.380 * [taylor]: Taking taylor expansion of y in x 0.380 * [backup-simplify]: Simplify y into y 0.380 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.380 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 0.380 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2))) 0.380 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2))) 0.380 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of 4.0 in y 0.381 * [backup-simplify]: Simplify 4.0 into 4.0 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.381 * [backup-simplify]: Simplify 0 into 0 0.381 * [backup-simplify]: Simplify 1 into 1 0.381 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.381 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify (+ 0 0) into 0 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify (* 1 1) into 1 0.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.384 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.384 * [backup-simplify]: Simplify (- 0) into 0 0.384 * [backup-simplify]: Simplify (+ 1 0) into 1 0.384 * [taylor]: Taking taylor expansion of 1 in y 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.385 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.385 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.387 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.388 * [backup-simplify]: Simplify (- 0) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.389 * [backup-simplify]: Simplify (- 0) into 0 0.389 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.391 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.392 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.393 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.393 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.393 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.393 * [taylor]: Taking taylor expansion of x in y 0.393 * [backup-simplify]: Simplify x into x 0.393 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.393 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of 4.0 in y 0.393 * [backup-simplify]: Simplify 4.0 into 4.0 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [backup-simplify]: Simplify 0 into 0 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (* 1 1) into 1 0.394 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of 4.0 in x 0.394 * [backup-simplify]: Simplify 4.0 into 4.0 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.395 * [backup-simplify]: Simplify y into y 0.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.395 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify 1 into 1 0.395 * [backup-simplify]: Simplify (* 1 1) into 1 0.395 * [backup-simplify]: Simplify (/ 1 1) into 1 0.395 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.395 * [taylor]: Taking taylor expansion of 4.0 in x 0.395 * [backup-simplify]: Simplify 4.0 into 4.0 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.395 * [backup-simplify]: Simplify y into y 0.395 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.396 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.396 * [backup-simplify]: Simplify (+ 1 0) into 1 0.396 * [taylor]: Taking taylor expansion of 1 in y 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.397 * [backup-simplify]: Simplify (+ 0 0) into 0 0.397 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.398 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.398 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.398 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.399 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.399 * [taylor]: Taking taylor expansion of 4.0 in y 0.399 * [backup-simplify]: Simplify 4.0 into 4.0 0.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.399 * [taylor]: Taking taylor expansion of y in y 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 1 into 1 0.399 * [backup-simplify]: Simplify (* 1 1) into 1 0.399 * [backup-simplify]: Simplify (/ 1 1) into 1 0.399 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.400 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.400 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.400 * [backup-simplify]: Simplify 1 into 1 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.402 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.402 * [backup-simplify]: Simplify (- 0) into 0 0.402 * [backup-simplify]: Simplify (+ 0 0) into 0 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.404 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.404 * [backup-simplify]: Simplify (- 0) into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 0 into 0 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.406 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.406 * [backup-simplify]: Simplify (- 0) into 0 0.407 * [backup-simplify]: Simplify (+ 0 0) into 0 0.407 * [taylor]: Taking taylor expansion of 0 in y 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.409 * [backup-simplify]: Simplify (- 0) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.409 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) 0.409 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0 0.409 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.410 * [backup-simplify]: Simplify x into x 0.410 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.410 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.410 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.410 * [taylor]: Taking taylor expansion of 4.0 in y 0.410 * [backup-simplify]: Simplify 4.0 into 4.0 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.410 * [backup-simplify]: Simplify (* 1 1) into 1 0.410 * [backup-simplify]: Simplify (/ 1 1) into 1 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.410 * [taylor]: Taking taylor expansion of x in x 0.410 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify 1 into 1 0.411 * [backup-simplify]: Simplify (* 1 1) into 1 0.411 * [backup-simplify]: Simplify (/ 1 1) into 1 0.411 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.411 * [taylor]: Taking taylor expansion of 4.0 in x 0.411 * [backup-simplify]: Simplify 4.0 into 4.0 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.411 * [taylor]: Taking taylor expansion of y in x 0.411 * [backup-simplify]: Simplify y into y 0.411 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.411 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.411 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.411 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.411 * [taylor]: Taking taylor expansion of x in x 0.411 * [backup-simplify]: Simplify 0 into 0 0.411 * [backup-simplify]: Simplify 1 into 1 0.412 * [backup-simplify]: Simplify (* 1 1) into 1 0.412 * [backup-simplify]: Simplify (/ 1 1) into 1 0.412 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 0.412 * [taylor]: Taking taylor expansion of 4.0 in x 0.412 * [backup-simplify]: Simplify 4.0 into 4.0 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [backup-simplify]: Simplify y into y 0.412 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.412 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.412 * [backup-simplify]: Simplify (+ 1 0) into 1 0.412 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [backup-simplify]: Simplify 1 into 1 0.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.413 * [backup-simplify]: Simplify (+ 0 0) into 0 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [backup-simplify]: Simplify 0 into 0 0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.415 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 0.415 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.415 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2)))) 0.415 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 0.415 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of 4.0 in y 0.415 * [backup-simplify]: Simplify 4.0 into 4.0 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [backup-simplify]: Simplify 0 into 0 0.415 * [backup-simplify]: Simplify 1 into 1 0.415 * [backup-simplify]: Simplify (* 1 1) into 1 0.418 * [backup-simplify]: Simplify (/ 1 1) into 1 0.419 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 0.419 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.419 * [backup-simplify]: Simplify (- 4.0) into (- 4.0) 0.419 * [backup-simplify]: Simplify 1 into 1 0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.421 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.421 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 0.422 * [backup-simplify]: Simplify (- 0) into 0 0.422 * [backup-simplify]: Simplify (+ 0 0) into 0 0.422 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [backup-simplify]: Simplify 0 into 0 0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.423 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 0.423 * [backup-simplify]: Simplify (- 0) into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.423 * [backup-simplify]: Simplify 0 into 0 0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.425 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.426 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.426 * [backup-simplify]: Simplify (- 0) into 0 0.426 * [backup-simplify]: Simplify (+ 0 0) into 0 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [backup-simplify]: Simplify 0 into 0 0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.428 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 0.428 * [backup-simplify]: Simplify (- 0) into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.428 * [backup-simplify]: Simplify 0 into 0 0.429 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2))) 0.429 * * * [progress]: simplifying candidates 0.430 * [simplify]: Simplifying: (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 1) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) 1) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (exp (* x x)) (exp (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)) (- (* (* y 4.0) y)) -1.0 1 1 (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) (- (pow x 2) (* 4.0 (pow y 2))) 0.431 * * [simplify]: Extracting # 0 : cost 0 0.431 * * [simplify]: Extracting # 1 : cost 0 0.431 * * [simplify]: Extracting # 2 : cost 0 0.431 * * [simplify]: Extracting # 3 : cost 0 0.432 * * [simplify]: Extracting # 4 : cost 0 0.432 * * [simplify]: Extracting # 5 : cost 0 0.432 * * [simplify]: Extracting # 6 : cost 0 0.432 * * [simplify]: Extracting # 7 : cost 0 0.432 * * [simplify]: iteration 0 : 82 enodes (cost 1196 ) 0.450 * * [simplify]: Extracting # 0 : cost 0 0.450 * * [simplify]: Extracting # 1 : cost 0 0.451 * * [simplify]: Extracting # 2 : cost 0 0.451 * * [simplify]: Extracting # 3 : cost 0 0.451 * * [simplify]: Extracting # 4 : cost 0 0.451 * * [simplify]: iteration 1 : 220 enodes (cost 1174 ) 0.531 * * [simplify]: Extracting # 0 : cost 0 0.532 * * [simplify]: Extracting # 1 : cost 0 0.533 * * [simplify]: Extracting # 2 : cost 0 0.534 * * [simplify]: Extracting # 3 : cost 0 0.534 * * [simplify]: Extracting # 4 : cost 0 0.535 * * [simplify]: iteration 2 : 738 enodes (cost 1060 ) 0.944 * * [simplify]: Extracting # 0 : cost 0 0.948 * * [simplify]: Extracting # 1 : cost 0 0.951 * * [simplify]: Extracting # 2 : cost 0 0.953 * * [simplify]: Extracting # 3 : cost 0 0.956 * * [simplify]: Extracting # 4 : cost 0 0.959 * * [simplify]: iteration 3 : 2712 enodes (cost 1056 ) 2.891 * * [simplify]: Extracting # 0 : cost 0 2.907 * * [simplify]: Extracting # 1 : cost 0 2.917 * * [simplify]: Extracting # 2 : cost 0 2.926 * * [simplify]: Extracting # 3 : cost 0 2.933 * * [simplify]: Extracting # 4 : cost 0 2.938 * * [simplify]: iteration done: 5000 enodes (cost 1042 ) 2.939 * [simplify]: Simplified to: (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (- (- (* x x) (* (* y 4.0) y))) (- (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (- (* x x) (* (* y 4.0) y))) (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))) (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) 1 (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y)))) (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (* (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (log (- (* x x) (* (* y 4.0) y))) (exp (- (* x x) (* (* y 4.0) y))) (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (cbrt (- (* x x) (* (* y 4.0) y))) (pow (- (* x x) (* (* y 4.0) y)) 3) (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (- (* x x) (* (* y 4.0) y))) (- (pow x 6) (pow (* (* y 4.0) y) 3)) (+ (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (pow x 4)) (- (* 4.0 (pow y 2))) (- (pow x 4) (* (* 4.0 4.0) (pow y 4))) (+ (* x x) (* (* y 4.0) y)) (- (* 4.0 (pow y 2))) -1.0 1 1 (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)) 2.939 * * * [progress]: adding candidates to table 3.107 * * [progress]: iteration 2 / 4 3.107 * * * [progress]: picking best candidate 3.113 * * * * [pick]: Picked # 3.113 * * * [progress]: localizing error 3.131 * * * [progress]: generating rewritten candidates 3.131 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 3.169 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 3.192 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 3.315 * * * [progress]: generating series expansions 3.315 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 3.315 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) 3.315 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0 3.315 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.315 * [taylor]: Taking taylor expansion of 4.0 in x 3.315 * [backup-simplify]: Simplify 4.0 into 4.0 3.315 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.315 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.315 * [taylor]: Taking taylor expansion of y in x 3.316 * [backup-simplify]: Simplify y into y 3.316 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.316 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.316 * [taylor]: Taking taylor expansion of x in x 3.316 * [backup-simplify]: Simplify 0 into 0 3.316 * [backup-simplify]: Simplify 1 into 1 3.316 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.316 * [taylor]: Taking taylor expansion of 4.0 in x 3.316 * [backup-simplify]: Simplify 4.0 into 4.0 3.316 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.316 * [taylor]: Taking taylor expansion of y in x 3.316 * [backup-simplify]: Simplify y into y 3.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.316 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.316 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.316 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.317 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 3.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.317 * [taylor]: Taking taylor expansion of 4.0 in y 3.317 * [backup-simplify]: Simplify 4.0 into 4.0 3.317 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.317 * [taylor]: Taking taylor expansion of y in y 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.317 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.317 * [taylor]: Taking taylor expansion of x in y 3.317 * [backup-simplify]: Simplify x into x 3.317 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.317 * [taylor]: Taking taylor expansion of 4.0 in y 3.317 * [backup-simplify]: Simplify 4.0 into 4.0 3.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.317 * [taylor]: Taking taylor expansion of y in y 3.317 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify 1 into 1 3.318 * [backup-simplify]: Simplify (* 1 1) into 1 3.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.318 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.318 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.318 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.318 * [taylor]: Taking taylor expansion of 4.0 in y 3.318 * [backup-simplify]: Simplify 4.0 into 4.0 3.318 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.318 * [taylor]: Taking taylor expansion of y in y 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.318 * [taylor]: Taking taylor expansion of x in y 3.318 * [backup-simplify]: Simplify x into x 3.318 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.318 * [taylor]: Taking taylor expansion of 4.0 in y 3.318 * [backup-simplify]: Simplify 4.0 into 4.0 3.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.318 * [taylor]: Taking taylor expansion of y in y 3.318 * [backup-simplify]: Simplify 0 into 0 3.318 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (* 1 1) into 1 3.319 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.319 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.319 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2)) 3.319 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x 3.319 * [taylor]: Taking taylor expansion of 4.0 in x 3.319 * [backup-simplify]: Simplify 4.0 into 4.0 3.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.319 * [taylor]: Taking taylor expansion of x in x 3.319 * [backup-simplify]: Simplify 0 into 0 3.319 * [backup-simplify]: Simplify 1 into 1 3.319 * [backup-simplify]: Simplify (* 1 1) into 1 3.320 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0 3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.322 * [backup-simplify]: Simplify 0 into 0 3.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.324 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.325 * [backup-simplify]: Simplify (+ 0 0) into 0 3.325 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.325 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0 3.325 * [taylor]: Taking taylor expansion of 0 in x 3.325 * [backup-simplify]: Simplify 0 into 0 3.325 * [backup-simplify]: Simplify 0 into 0 3.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.327 * [backup-simplify]: Simplify 0 into 0 3.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.328 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.328 * [backup-simplify]: Simplify (* 1 1) into 1 3.328 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.328 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.329 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4)))) 3.329 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4)))) 3.329 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x 3.329 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x 3.329 * [taylor]: Taking taylor expansion of 16.0 in x 3.329 * [backup-simplify]: Simplify 16.0 into 16.0 3.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.329 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.329 * [taylor]: Taking taylor expansion of x in x 3.329 * [backup-simplify]: Simplify 0 into 0 3.329 * [backup-simplify]: Simplify 1 into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (* 1 1) into 1 3.330 * [backup-simplify]: Simplify (/ 1 1) into 1 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.338 * [backup-simplify]: Simplify (- 0) into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.338 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.339 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 3.340 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 3.340 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.340 * [taylor]: Taking taylor expansion of 4.0 in x 3.340 * [backup-simplify]: Simplify 4.0 into 4.0 3.340 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.340 * [taylor]: Taking taylor expansion of x in x 3.340 * [backup-simplify]: Simplify 0 into 0 3.340 * [backup-simplify]: Simplify 1 into 1 3.340 * [backup-simplify]: Simplify (* 1 1) into 1 3.340 * [backup-simplify]: Simplify (/ 1 1) into 1 3.340 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.340 * [taylor]: Taking taylor expansion of 4.0 in x 3.340 * [backup-simplify]: Simplify 4.0 into 4.0 3.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.340 * [taylor]: Taking taylor expansion of y in x 3.340 * [backup-simplify]: Simplify y into y 3.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.341 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.341 * [taylor]: Taking taylor expansion of y in x 3.341 * [backup-simplify]: Simplify y into y 3.341 * [backup-simplify]: Simplify (+ 1 0) into 1 3.341 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.341 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.341 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 3.341 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.341 * [taylor]: Taking taylor expansion of 4.0 in y 3.341 * [backup-simplify]: Simplify 4.0 into 4.0 3.341 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.341 * [taylor]: Taking taylor expansion of x in y 3.341 * [backup-simplify]: Simplify x into x 3.341 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.341 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.341 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.342 * [taylor]: Taking taylor expansion of 4.0 in y 3.342 * [backup-simplify]: Simplify 4.0 into 4.0 3.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.342 * [taylor]: Taking taylor expansion of y in y 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.342 * [backup-simplify]: Simplify (* 1 1) into 1 3.342 * [backup-simplify]: Simplify (/ 1 1) into 1 3.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.342 * [taylor]: Taking taylor expansion of y in y 3.342 * [backup-simplify]: Simplify 0 into 0 3.342 * [backup-simplify]: Simplify 1 into 1 3.343 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.343 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.343 * [backup-simplify]: Simplify (* 1 1) into 1 3.343 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.344 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.344 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.344 * [taylor]: Taking taylor expansion of 4.0 in y 3.344 * [backup-simplify]: Simplify 4.0 into 4.0 3.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.344 * [taylor]: Taking taylor expansion of x in y 3.344 * [backup-simplify]: Simplify x into x 3.344 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.344 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.344 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.344 * [taylor]: Taking taylor expansion of 4.0 in y 3.344 * [backup-simplify]: Simplify 4.0 into 4.0 3.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.344 * [taylor]: Taking taylor expansion of y in y 3.344 * [backup-simplify]: Simplify 0 into 0 3.344 * [backup-simplify]: Simplify 1 into 1 3.344 * [backup-simplify]: Simplify (* 1 1) into 1 3.345 * [backup-simplify]: Simplify (/ 1 1) into 1 3.345 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.345 * [taylor]: Taking taylor expansion of y in y 3.345 * [backup-simplify]: Simplify 0 into 0 3.345 * [backup-simplify]: Simplify 1 into 1 3.345 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.345 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.345 * [backup-simplify]: Simplify (* 1 1) into 1 3.346 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.346 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.346 * [taylor]: Taking taylor expansion of 1.0 in x 3.346 * [backup-simplify]: Simplify 1.0 into 1.0 3.346 * [backup-simplify]: Simplify 0 into 0 3.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.349 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.350 * [backup-simplify]: Simplify (+ 0 0) into 0 3.350 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.351 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 3.351 * [taylor]: Taking taylor expansion of 0 in x 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.351 * [backup-simplify]: Simplify 0 into 0 3.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.355 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.355 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.356 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 3.357 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 3.357 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 3.357 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.358 * [taylor]: Taking taylor expansion of 0.25 in x 3.358 * [backup-simplify]: Simplify 0.25 into 0.25 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.358 * [taylor]: Taking taylor expansion of x in x 3.358 * [backup-simplify]: Simplify 0 into 0 3.358 * [backup-simplify]: Simplify 1 into 1 3.358 * [backup-simplify]: Simplify (* 1 1) into 1 3.358 * [backup-simplify]: Simplify (/ 1 1) into 1 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.368 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.368 * [backup-simplify]: Simplify (- 0) into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.368 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) 3.369 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0 3.369 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.369 * [taylor]: Taking taylor expansion of 4.0 in x 3.369 * [backup-simplify]: Simplify 4.0 into 4.0 3.369 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.369 * [taylor]: Taking taylor expansion of x in x 3.369 * [backup-simplify]: Simplify 0 into 0 3.369 * [backup-simplify]: Simplify 1 into 1 3.369 * [backup-simplify]: Simplify (* 1 1) into 1 3.370 * [backup-simplify]: Simplify (/ 1 1) into 1 3.370 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.370 * [taylor]: Taking taylor expansion of 4.0 in x 3.370 * [backup-simplify]: Simplify 4.0 into 4.0 3.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.370 * [taylor]: Taking taylor expansion of y in x 3.370 * [backup-simplify]: Simplify y into y 3.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.370 * [taylor]: Taking taylor expansion of y in x 3.370 * [backup-simplify]: Simplify y into y 3.371 * [backup-simplify]: Simplify (+ 1 0) into 1 3.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.371 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.371 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2)) 3.371 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.371 * [taylor]: Taking taylor expansion of 4.0 in y 3.371 * [backup-simplify]: Simplify 4.0 into 4.0 3.371 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.371 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.371 * [taylor]: Taking taylor expansion of x in y 3.371 * [backup-simplify]: Simplify x into x 3.371 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.371 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.372 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.372 * [taylor]: Taking taylor expansion of 4.0 in y 3.372 * [backup-simplify]: Simplify 4.0 into 4.0 3.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.372 * [taylor]: Taking taylor expansion of y in y 3.372 * [backup-simplify]: Simplify 0 into 0 3.372 * [backup-simplify]: Simplify 1 into 1 3.372 * [backup-simplify]: Simplify (* 1 1) into 1 3.372 * [backup-simplify]: Simplify (/ 1 1) into 1 3.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.372 * [taylor]: Taking taylor expansion of y in y 3.373 * [backup-simplify]: Simplify 0 into 0 3.373 * [backup-simplify]: Simplify 1 into 1 3.373 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.373 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.374 * [backup-simplify]: Simplify (* 1 1) into 1 3.374 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.374 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.375 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.375 * [taylor]: Taking taylor expansion of 4.0 in y 3.375 * [backup-simplify]: Simplify 4.0 into 4.0 3.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.375 * [taylor]: Taking taylor expansion of x in y 3.375 * [backup-simplify]: Simplify x into x 3.375 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.375 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.375 * [taylor]: Taking taylor expansion of 4.0 in y 3.375 * [backup-simplify]: Simplify 4.0 into 4.0 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.375 * [taylor]: Taking taylor expansion of y in y 3.375 * [backup-simplify]: Simplify 0 into 0 3.375 * [backup-simplify]: Simplify 1 into 1 3.376 * [backup-simplify]: Simplify (* 1 1) into 1 3.376 * [backup-simplify]: Simplify (/ 1 1) into 1 3.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.376 * [taylor]: Taking taylor expansion of y in y 3.376 * [backup-simplify]: Simplify 0 into 0 3.376 * [backup-simplify]: Simplify 1 into 1 3.377 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.377 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.377 * [backup-simplify]: Simplify (* 1 1) into 1 3.378 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.378 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0 3.378 * [taylor]: Taking taylor expansion of 1.0 in x 3.378 * [backup-simplify]: Simplify 1.0 into 1.0 3.378 * [backup-simplify]: Simplify 0 into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.381 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.381 * [backup-simplify]: Simplify (+ 0 0) into 0 3.382 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0 3.383 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0 3.383 * [taylor]: Taking taylor expansion of 0 in x 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.383 * [backup-simplify]: Simplify 0 into 0 3.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.386 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0 3.387 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 3.388 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2)) 3.389 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2)))) 3.389 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x 3.389 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x 3.389 * [taylor]: Taking taylor expansion of 0.25 in x 3.389 * [backup-simplify]: Simplify 0.25 into 0.25 3.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.389 * [taylor]: Taking taylor expansion of x in x 3.389 * [backup-simplify]: Simplify 0 into 0 3.389 * [backup-simplify]: Simplify 1 into 1 3.389 * [backup-simplify]: Simplify (* 1 1) into 1 3.390 * [backup-simplify]: Simplify (/ 1 1) into 1 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.398 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.398 * [backup-simplify]: Simplify (- 0) into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.398 * [backup-simplify]: Simplify 0 into 0 3.399 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 3.399 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) 3.399 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0 3.399 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.399 * [taylor]: Taking taylor expansion of x in y 3.399 * [backup-simplify]: Simplify x into x 3.399 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.399 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.399 * [taylor]: Taking taylor expansion of x in y 3.399 * [backup-simplify]: Simplify x into x 3.399 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.399 * [taylor]: Taking taylor expansion of 4.0 in y 3.399 * [backup-simplify]: Simplify 4.0 into 4.0 3.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.399 * [taylor]: Taking taylor expansion of y in y 3.399 * [backup-simplify]: Simplify 0 into 0 3.399 * [backup-simplify]: Simplify 1 into 1 3.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.399 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.400 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.400 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.400 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.400 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.400 * [taylor]: Taking taylor expansion of x in x 3.400 * [backup-simplify]: Simplify 0 into 0 3.400 * [backup-simplify]: Simplify 1 into 1 3.400 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.400 * [taylor]: Taking taylor expansion of 4.0 in x 3.400 * [backup-simplify]: Simplify 4.0 into 4.0 3.400 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.400 * [taylor]: Taking taylor expansion of y in x 3.400 * [backup-simplify]: Simplify y into y 3.401 * [backup-simplify]: Simplify (* 1 1) into 1 3.401 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.401 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.401 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.401 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.401 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.401 * [taylor]: Taking taylor expansion of x in x 3.401 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.402 * [taylor]: Taking taylor expansion of x in x 3.402 * [backup-simplify]: Simplify 0 into 0 3.402 * [backup-simplify]: Simplify 1 into 1 3.402 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.402 * [taylor]: Taking taylor expansion of 4.0 in x 3.402 * [backup-simplify]: Simplify 4.0 into 4.0 3.402 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.402 * [taylor]: Taking taylor expansion of y in x 3.402 * [backup-simplify]: Simplify y into y 3.402 * [backup-simplify]: Simplify (* 1 1) into 1 3.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.402 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.403 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.403 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.403 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y 3.403 * [taylor]: Taking taylor expansion of 0.25 in y 3.403 * [backup-simplify]: Simplify 0.25 into 0.25 3.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.403 * [taylor]: Taking taylor expansion of y in y 3.403 * [backup-simplify]: Simplify 0 into 0 3.403 * [backup-simplify]: Simplify 1 into 1 3.404 * [backup-simplify]: Simplify (* 1 1) into 1 3.404 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.407 * [backup-simplify]: Simplify 0 into 0 3.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.408 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.409 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.409 * [backup-simplify]: Simplify (+ 0 0) into 0 3.409 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.409 * [taylor]: Taking taylor expansion of 0 in y 3.410 * [backup-simplify]: Simplify 0 into 0 3.410 * [backup-simplify]: Simplify 0 into 0 3.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.412 * [backup-simplify]: Simplify 0 into 0 3.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.413 * [backup-simplify]: Simplify (* 1 1) into 1 3.413 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.414 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.414 * [backup-simplify]: Simplify (+ 1 0) into 1 3.415 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4)))) 3.415 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y 3.415 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y 3.415 * [taylor]: Taking taylor expansion of 0.0625 in y 3.415 * [backup-simplify]: Simplify 0.0625 into 0.0625 3.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 3.415 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.415 * [taylor]: Taking taylor expansion of y in y 3.415 * [backup-simplify]: Simplify 0 into 0 3.415 * [backup-simplify]: Simplify 1 into 1 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.415 * [backup-simplify]: Simplify (* 1 1) into 1 3.416 * [backup-simplify]: Simplify (/ 1 1) into 1 3.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.423 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.423 * [backup-simplify]: Simplify (- 0) into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.423 * [backup-simplify]: Simplify 0 into 0 3.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 3.425 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.425 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.425 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.425 * [taylor]: Taking taylor expansion of x in y 3.425 * [backup-simplify]: Simplify x into x 3.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.425 * [taylor]: Taking taylor expansion of x in y 3.425 * [backup-simplify]: Simplify x into x 3.425 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.425 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.425 * [taylor]: Taking taylor expansion of 4.0 in y 3.425 * [backup-simplify]: Simplify 4.0 into 4.0 3.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.425 * [taylor]: Taking taylor expansion of y in y 3.425 * [backup-simplify]: Simplify 0 into 0 3.425 * [backup-simplify]: Simplify 1 into 1 3.426 * [backup-simplify]: Simplify (* 1 1) into 1 3.426 * [backup-simplify]: Simplify (/ 1 1) into 1 3.426 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.426 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.427 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.427 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.427 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.427 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.427 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.427 * [taylor]: Taking taylor expansion of x in x 3.427 * [backup-simplify]: Simplify 0 into 0 3.427 * [backup-simplify]: Simplify 1 into 1 3.427 * [backup-simplify]: Simplify (* 1 1) into 1 3.427 * [backup-simplify]: Simplify (/ 1 1) into 1 3.427 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.427 * [taylor]: Taking taylor expansion of 4.0 in x 3.428 * [backup-simplify]: Simplify 4.0 into 4.0 3.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.428 * [taylor]: Taking taylor expansion of y in x 3.428 * [backup-simplify]: Simplify y into y 3.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.428 * [backup-simplify]: Simplify (* 1 1) into 1 3.428 * [backup-simplify]: Simplify (+ 1 0) into 1 3.428 * [backup-simplify]: Simplify (* 1 1) into 1 3.429 * [backup-simplify]: Simplify (/ 1 1) into 1 3.429 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.429 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.429 * [taylor]: Taking taylor expansion of x in x 3.429 * [backup-simplify]: Simplify 0 into 0 3.429 * [backup-simplify]: Simplify 1 into 1 3.429 * [backup-simplify]: Simplify (* 1 1) into 1 3.429 * [backup-simplify]: Simplify (/ 1 1) into 1 3.430 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.430 * [taylor]: Taking taylor expansion of 4.0 in x 3.430 * [backup-simplify]: Simplify 4.0 into 4.0 3.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.430 * [taylor]: Taking taylor expansion of y in x 3.430 * [backup-simplify]: Simplify y into y 3.430 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.430 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.430 * [backup-simplify]: Simplify (* 1 1) into 1 3.430 * [backup-simplify]: Simplify (+ 1 0) into 1 3.431 * [backup-simplify]: Simplify (* 1 1) into 1 3.431 * [backup-simplify]: Simplify (/ 1 1) into 1 3.431 * [taylor]: Taking taylor expansion of 1 in y 3.431 * [backup-simplify]: Simplify 1 into 1 3.431 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.432 * [backup-simplify]: Simplify (+ 0 0) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.433 * [taylor]: Taking taylor expansion of 0 in y 3.433 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify 0 into 0 3.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.435 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.435 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.436 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.436 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.437 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.437 * [taylor]: Taking taylor expansion of 4.0 in y 3.437 * [backup-simplify]: Simplify 4.0 into 4.0 3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.437 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.437 * [taylor]: Taking taylor expansion of y in y 3.437 * [backup-simplify]: Simplify 0 into 0 3.437 * [backup-simplify]: Simplify 1 into 1 3.437 * [backup-simplify]: Simplify (* 1 1) into 1 3.437 * [backup-simplify]: Simplify (/ 1 1) into 1 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.445 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.445 * [backup-simplify]: Simplify (- 0) into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify 0 into 0 3.445 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) 3.445 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0 3.445 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.445 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.445 * [taylor]: Taking taylor expansion of x in y 3.445 * [backup-simplify]: Simplify x into x 3.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.445 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.445 * [taylor]: Taking taylor expansion of x in y 3.445 * [backup-simplify]: Simplify x into x 3.446 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.446 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.446 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.446 * [taylor]: Taking taylor expansion of 4.0 in y 3.446 * [backup-simplify]: Simplify 4.0 into 4.0 3.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.446 * [taylor]: Taking taylor expansion of y in y 3.446 * [backup-simplify]: Simplify 0 into 0 3.446 * [backup-simplify]: Simplify 1 into 1 3.446 * [backup-simplify]: Simplify (* 1 1) into 1 3.447 * [backup-simplify]: Simplify (/ 1 1) into 1 3.447 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.447 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.447 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.448 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.448 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.448 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.448 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.448 * [taylor]: Taking taylor expansion of x in x 3.448 * [backup-simplify]: Simplify 0 into 0 3.448 * [backup-simplify]: Simplify 1 into 1 3.448 * [backup-simplify]: Simplify (* 1 1) into 1 3.449 * [backup-simplify]: Simplify (/ 1 1) into 1 3.449 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.449 * [taylor]: Taking taylor expansion of 4.0 in x 3.449 * [backup-simplify]: Simplify 4.0 into 4.0 3.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.449 * [taylor]: Taking taylor expansion of y in x 3.449 * [backup-simplify]: Simplify y into y 3.449 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.449 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.449 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (+ 1 0) into 1 3.450 * [backup-simplify]: Simplify (* 1 1) into 1 3.450 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.451 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.451 * [taylor]: Taking taylor expansion of x in x 3.451 * [backup-simplify]: Simplify 0 into 0 3.451 * [backup-simplify]: Simplify 1 into 1 3.451 * [backup-simplify]: Simplify (* 1 1) into 1 3.451 * [backup-simplify]: Simplify (/ 1 1) into 1 3.451 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.452 * [taylor]: Taking taylor expansion of 4.0 in x 3.452 * [backup-simplify]: Simplify 4.0 into 4.0 3.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.452 * [taylor]: Taking taylor expansion of y in x 3.452 * [backup-simplify]: Simplify y into y 3.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.452 * [backup-simplify]: Simplify (* 1 1) into 1 3.453 * [backup-simplify]: Simplify (+ 1 0) into 1 3.453 * [backup-simplify]: Simplify (* 1 1) into 1 3.453 * [backup-simplify]: Simplify (/ 1 1) into 1 3.453 * [taylor]: Taking taylor expansion of 1 in y 3.453 * [backup-simplify]: Simplify 1 into 1 3.454 * [backup-simplify]: Simplify 0 into 0 3.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.455 * [backup-simplify]: Simplify (+ 0 0) into 0 3.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.457 * [taylor]: Taking taylor expansion of 0 in y 3.457 * [backup-simplify]: Simplify 0 into 0 3.457 * [backup-simplify]: Simplify 0 into 0 3.458 * [backup-simplify]: Simplify 0 into 0 3.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.460 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.460 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.462 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.462 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y 3.463 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.463 * [taylor]: Taking taylor expansion of 4.0 in y 3.463 * [backup-simplify]: Simplify 4.0 into 4.0 3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.463 * [taylor]: Taking taylor expansion of y in y 3.463 * [backup-simplify]: Simplify 0 into 0 3.463 * [backup-simplify]: Simplify 1 into 1 3.463 * [backup-simplify]: Simplify (* 1 1) into 1 3.463 * [backup-simplify]: Simplify (/ 1 1) into 1 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.472 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.472 * [backup-simplify]: Simplify (- 0) into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.472 * [backup-simplify]: Simplify 0 into 0 3.473 * [backup-simplify]: Simplify 0 into 0 3.473 * * * * [progress]: [ 3 / 3 ] generating series at (2) 3.473 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) into (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) 3.473 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0 3.473 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y 3.474 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.474 * [taylor]: Taking taylor expansion of x in y 3.474 * [backup-simplify]: Simplify x into x 3.474 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.474 * [taylor]: Taking taylor expansion of x in y 3.474 * [backup-simplify]: Simplify x into x 3.474 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.474 * [taylor]: Taking taylor expansion of 4.0 in y 3.474 * [backup-simplify]: Simplify 4.0 into 4.0 3.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.474 * [taylor]: Taking taylor expansion of y in y 3.474 * [backup-simplify]: Simplify 0 into 0 3.474 * [backup-simplify]: Simplify 1 into 1 3.474 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.474 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.475 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.475 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 3.475 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y 3.475 * [taylor]: Taking taylor expansion of 4.0 in y 3.475 * [backup-simplify]: Simplify 4.0 into 4.0 3.475 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y 3.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.475 * [taylor]: Taking taylor expansion of y in y 3.475 * [backup-simplify]: Simplify 0 into 0 3.475 * [backup-simplify]: Simplify 1 into 1 3.475 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y 3.475 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.475 * [taylor]: Taking taylor expansion of x in y 3.475 * [backup-simplify]: Simplify x into x 3.475 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y 3.475 * [taylor]: Taking taylor expansion of 4.0 in y 3.475 * [backup-simplify]: Simplify 4.0 into 4.0 3.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.476 * [taylor]: Taking taylor expansion of y in y 3.476 * [backup-simplify]: Simplify 0 into 0 3.476 * [backup-simplify]: Simplify 1 into 1 3.476 * [backup-simplify]: Simplify (* 1 1) into 1 3.476 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.476 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.477 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.477 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 3.477 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.477 * [taylor]: Taking taylor expansion of x in x 3.477 * [backup-simplify]: Simplify 0 into 0 3.477 * [backup-simplify]: Simplify 1 into 1 3.477 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.477 * [taylor]: Taking taylor expansion of 4.0 in x 3.477 * [backup-simplify]: Simplify 4.0 into 4.0 3.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.477 * [taylor]: Taking taylor expansion of y in x 3.477 * [backup-simplify]: Simplify y into y 3.477 * [backup-simplify]: Simplify (* 1 1) into 1 3.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.478 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.478 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.478 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.478 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.478 * [taylor]: Taking taylor expansion of 4.0 in x 3.478 * [backup-simplify]: Simplify 4.0 into 4.0 3.478 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.478 * [taylor]: Taking taylor expansion of y in x 3.478 * [backup-simplify]: Simplify y into y 3.478 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.478 * [taylor]: Taking taylor expansion of x in x 3.478 * [backup-simplify]: Simplify 0 into 0 3.478 * [backup-simplify]: Simplify 1 into 1 3.478 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.478 * [taylor]: Taking taylor expansion of 4.0 in x 3.478 * [backup-simplify]: Simplify 4.0 into 4.0 3.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.479 * [taylor]: Taking taylor expansion of y in x 3.479 * [backup-simplify]: Simplify y into y 3.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.479 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.479 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.479 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.479 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 3.479 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x 3.479 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.479 * [taylor]: Taking taylor expansion of x in x 3.479 * [backup-simplify]: Simplify 0 into 0 3.479 * [backup-simplify]: Simplify 1 into 1 3.479 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.479 * [taylor]: Taking taylor expansion of x in x 3.480 * [backup-simplify]: Simplify 0 into 0 3.480 * [backup-simplify]: Simplify 1 into 1 3.480 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.480 * [taylor]: Taking taylor expansion of 4.0 in x 3.480 * [backup-simplify]: Simplify 4.0 into 4.0 3.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.480 * [taylor]: Taking taylor expansion of y in x 3.480 * [backup-simplify]: Simplify y into y 3.480 * [backup-simplify]: Simplify (* 1 1) into 1 3.480 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.480 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.481 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.481 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2)) 3.481 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x 3.481 * [taylor]: Taking taylor expansion of 4.0 in x 3.481 * [backup-simplify]: Simplify 4.0 into 4.0 3.481 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x 3.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.481 * [taylor]: Taking taylor expansion of y in x 3.481 * [backup-simplify]: Simplify y into y 3.481 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x 3.481 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.481 * [taylor]: Taking taylor expansion of x in x 3.481 * [backup-simplify]: Simplify 0 into 0 3.481 * [backup-simplify]: Simplify 1 into 1 3.481 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x 3.481 * [taylor]: Taking taylor expansion of 4.0 in x 3.481 * [backup-simplify]: Simplify 4.0 into 4.0 3.481 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.481 * [taylor]: Taking taylor expansion of y in x 3.481 * [backup-simplify]: Simplify y into y 3.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.481 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.482 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2)) 3.482 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2)) 3.482 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25 3.483 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0 3.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.484 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 3.484 * [taylor]: Taking taylor expansion of (- 1.0) in y 3.484 * [taylor]: Taking taylor expansion of 1.0 in y 3.484 * [backup-simplify]: Simplify 1.0 into 1.0 3.484 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.485 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.485 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.486 * [backup-simplify]: Simplify (+ 0 0) into 0 3.486 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0 3.486 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0 3.487 * [backup-simplify]: Simplify (- 0) into 0 3.487 * [backup-simplify]: Simplify (+ 0 0) into 0 3.487 * [taylor]: Taking taylor expansion of 0 in y 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.487 * [backup-simplify]: Simplify (- 0) into 0 3.487 * [backup-simplify]: Simplify 0 into 0 3.488 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.488 * [backup-simplify]: Simplify (* 1 1) into 1 3.488 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.489 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 3.489 * [backup-simplify]: Simplify (+ 1 0) into 1 3.489 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2)))) 3.490 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2)))) 3.490 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2))) 3.490 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2))) 3.490 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y 3.490 * [taylor]: Taking taylor expansion of 0.5 in y 3.490 * [backup-simplify]: Simplify 0.5 into 0.5 3.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.490 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.490 * [taylor]: Taking taylor expansion of y in y 3.490 * [backup-simplify]: Simplify 0 into 0 3.490 * [backup-simplify]: Simplify 1 into 1 3.491 * [backup-simplify]: Simplify (* 1 1) into 1 3.491 * [backup-simplify]: Simplify (/ 1 1) into 1 3.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.492 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.493 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (- 0) into 0 3.494 * [backup-simplify]: Simplify 0 into 0 3.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.494 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.495 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0 3.495 * [backup-simplify]: Simplify (+ 0 0) into 0 3.495 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.496 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.497 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 3.497 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 3.498 * [backup-simplify]: Simplify (+ 0 0) into 0 3.498 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (- (* 0.0625 (/ 1 (pow y 2)))) (/ 0 (* 4.0 (pow y 2)))))) into 0 3.499 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0 3.499 * [backup-simplify]: Simplify (- 0) into 0 3.499 * [backup-simplify]: Simplify (+ 0 0) into 0 3.499 * [taylor]: Taking taylor expansion of 0 in y 3.499 * [backup-simplify]: Simplify 0 into 0 3.499 * [backup-simplify]: Simplify 0 into 0 3.500 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.500 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 3.500 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 3.500 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 3.500 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.500 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.500 * [taylor]: Taking taylor expansion of x in y 3.500 * [backup-simplify]: Simplify x into x 3.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.500 * [taylor]: Taking taylor expansion of x in y 3.500 * [backup-simplify]: Simplify x into x 3.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.501 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.501 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.501 * [taylor]: Taking taylor expansion of 4.0 in y 3.501 * [backup-simplify]: Simplify 4.0 into 4.0 3.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.501 * [taylor]: Taking taylor expansion of y in y 3.501 * [backup-simplify]: Simplify 0 into 0 3.501 * [backup-simplify]: Simplify 1 into 1 3.501 * [backup-simplify]: Simplify (* 1 1) into 1 3.501 * [backup-simplify]: Simplify (/ 1 1) into 1 3.501 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.502 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.502 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.502 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.502 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.502 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 3.502 * [taylor]: Taking taylor expansion of 4.0 in y 3.502 * [backup-simplify]: Simplify 4.0 into 4.0 3.502 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.502 * [taylor]: Taking taylor expansion of x in y 3.502 * [backup-simplify]: Simplify x into x 3.502 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.502 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.502 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.502 * [taylor]: Taking taylor expansion of 4.0 in y 3.503 * [backup-simplify]: Simplify 4.0 into 4.0 3.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.503 * [taylor]: Taking taylor expansion of y in y 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (* 1 1) into 1 3.503 * [backup-simplify]: Simplify (/ 1 1) into 1 3.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.503 * [taylor]: Taking taylor expansion of y in y 3.503 * [backup-simplify]: Simplify 0 into 0 3.503 * [backup-simplify]: Simplify 1 into 1 3.503 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.504 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.504 * [backup-simplify]: Simplify (* 1 1) into 1 3.504 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.505 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 3.505 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.505 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.505 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.505 * [taylor]: Taking taylor expansion of x in x 3.505 * [backup-simplify]: Simplify 0 into 0 3.505 * [backup-simplify]: Simplify 1 into 1 3.505 * [backup-simplify]: Simplify (* 1 1) into 1 3.505 * [backup-simplify]: Simplify (/ 1 1) into 1 3.505 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.505 * [taylor]: Taking taylor expansion of 4.0 in x 3.505 * [backup-simplify]: Simplify 4.0 into 4.0 3.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.506 * [taylor]: Taking taylor expansion of y in x 3.506 * [backup-simplify]: Simplify y into y 3.506 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.506 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.506 * [backup-simplify]: Simplify (+ 1 0) into 1 3.506 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (/ 1 1) into 1 3.507 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.507 * [taylor]: Taking taylor expansion of 4.0 in x 3.507 * [backup-simplify]: Simplify 4.0 into 4.0 3.507 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.507 * [taylor]: Taking taylor expansion of x in x 3.507 * [backup-simplify]: Simplify 0 into 0 3.507 * [backup-simplify]: Simplify 1 into 1 3.507 * [backup-simplify]: Simplify (* 1 1) into 1 3.507 * [backup-simplify]: Simplify (/ 1 1) into 1 3.507 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.507 * [taylor]: Taking taylor expansion of 4.0 in x 3.508 * [backup-simplify]: Simplify 4.0 into 4.0 3.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.508 * [taylor]: Taking taylor expansion of y in x 3.508 * [backup-simplify]: Simplify y into y 3.508 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.508 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.508 * [taylor]: Taking taylor expansion of y in x 3.508 * [backup-simplify]: Simplify y into y 3.508 * [backup-simplify]: Simplify (+ 1 0) into 1 3.508 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.508 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.508 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.508 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.508 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.508 * [taylor]: Taking taylor expansion of x in x 3.508 * [backup-simplify]: Simplify 0 into 0 3.508 * [backup-simplify]: Simplify 1 into 1 3.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.508 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.508 * [taylor]: Taking taylor expansion of x in x 3.509 * [backup-simplify]: Simplify 0 into 0 3.509 * [backup-simplify]: Simplify 1 into 1 3.509 * [backup-simplify]: Simplify (* 1 1) into 1 3.509 * [backup-simplify]: Simplify (/ 1 1) into 1 3.509 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.509 * [taylor]: Taking taylor expansion of 4.0 in x 3.509 * [backup-simplify]: Simplify 4.0 into 4.0 3.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.509 * [taylor]: Taking taylor expansion of y in x 3.509 * [backup-simplify]: Simplify y into y 3.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.509 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.510 * [backup-simplify]: Simplify (* 1 1) into 1 3.510 * [backup-simplify]: Simplify (+ 1 0) into 1 3.510 * [backup-simplify]: Simplify (* 1 1) into 1 3.510 * [backup-simplify]: Simplify (/ 1 1) into 1 3.510 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.510 * [taylor]: Taking taylor expansion of 4.0 in x 3.510 * [backup-simplify]: Simplify 4.0 into 4.0 3.510 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.510 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.510 * [taylor]: Taking taylor expansion of x in x 3.510 * [backup-simplify]: Simplify 0 into 0 3.510 * [backup-simplify]: Simplify 1 into 1 3.511 * [backup-simplify]: Simplify (* 1 1) into 1 3.511 * [backup-simplify]: Simplify (/ 1 1) into 1 3.511 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.511 * [taylor]: Taking taylor expansion of 4.0 in x 3.511 * [backup-simplify]: Simplify 4.0 into 4.0 3.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.511 * [taylor]: Taking taylor expansion of y in x 3.511 * [backup-simplify]: Simplify y into y 3.511 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.511 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.511 * [taylor]: Taking taylor expansion of y in x 3.511 * [backup-simplify]: Simplify y into y 3.512 * [backup-simplify]: Simplify (+ 1 0) into 1 3.512 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.512 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.512 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.512 * [backup-simplify]: Simplify (+ 1 0) into 1 3.512 * [taylor]: Taking taylor expansion of 1 in y 3.512 * [backup-simplify]: Simplify 1 into 1 3.512 * [backup-simplify]: Simplify 1 into 1 3.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.513 * [backup-simplify]: Simplify (+ 0 0) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.515 * [backup-simplify]: Simplify (+ 0 0) into 0 3.515 * [taylor]: Taking taylor expansion of 0 in y 3.515 * [backup-simplify]: Simplify 0 into 0 3.515 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify 0 into 0 3.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.517 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.518 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.519 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.520 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.520 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.521 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 3.521 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.521 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.521 * [taylor]: Taking taylor expansion of 8.0 in y 3.521 * [backup-simplify]: Simplify 8.0 into 8.0 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.521 * [taylor]: Taking taylor expansion of y in y 3.521 * [backup-simplify]: Simplify 0 into 0 3.521 * [backup-simplify]: Simplify 1 into 1 3.521 * [backup-simplify]: Simplify (* 1 1) into 1 3.522 * [backup-simplify]: Simplify (/ 1 1) into 1 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.526 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.526 * [backup-simplify]: Simplify (- 0) into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.526 * [backup-simplify]: Simplify 0 into 0 3.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.527 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.528 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.528 * [backup-simplify]: Simplify (+ 0 0) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 3.530 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.531 * [backup-simplify]: Simplify (+ 0 0) into 0 3.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 3.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.532 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.532 * [backup-simplify]: Simplify (- 0) into 0 3.533 * [backup-simplify]: Simplify (+ 0 0) into 0 3.533 * [taylor]: Taking taylor expansion of 0 in y 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 0 into 0 3.533 * [backup-simplify]: Simplify 1 into 1 3.533 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) 3.533 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0 3.533 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y 3.533 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y 3.534 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y 3.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.534 * [taylor]: Taking taylor expansion of x in y 3.534 * [backup-simplify]: Simplify x into x 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.534 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.534 * [taylor]: Taking taylor expansion of x in y 3.534 * [backup-simplify]: Simplify x into x 3.534 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.534 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.534 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.534 * [taylor]: Taking taylor expansion of 4.0 in y 3.534 * [backup-simplify]: Simplify 4.0 into 4.0 3.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.534 * [taylor]: Taking taylor expansion of y in y 3.534 * [backup-simplify]: Simplify 0 into 0 3.534 * [backup-simplify]: Simplify 1 into 1 3.534 * [backup-simplify]: Simplify (* 1 1) into 1 3.534 * [backup-simplify]: Simplify (/ 1 1) into 1 3.535 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.535 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.535 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.535 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2)) 3.535 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2)) 3.536 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y 3.536 * [taylor]: Taking taylor expansion of 4.0 in y 3.536 * [backup-simplify]: Simplify 4.0 into 4.0 3.536 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y 3.536 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y 3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y 3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.536 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.536 * [taylor]: Taking taylor expansion of x in y 3.536 * [backup-simplify]: Simplify x into x 3.536 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.536 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.536 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y 3.536 * [taylor]: Taking taylor expansion of 4.0 in y 3.536 * [backup-simplify]: Simplify 4.0 into 4.0 3.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.536 * [taylor]: Taking taylor expansion of y in y 3.536 * [backup-simplify]: Simplify 0 into 0 3.536 * [backup-simplify]: Simplify 1 into 1 3.536 * [backup-simplify]: Simplify (* 1 1) into 1 3.536 * [backup-simplify]: Simplify (/ 1 1) into 1 3.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.536 * [taylor]: Taking taylor expansion of y in y 3.536 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.537 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.537 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0 3.537 * [backup-simplify]: Simplify (* 1 1) into 1 3.538 * [backup-simplify]: Simplify (* 4.0 1) into 4.0 3.538 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 3.538 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.538 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.538 * [taylor]: Taking taylor expansion of x in x 3.538 * [backup-simplify]: Simplify 0 into 0 3.538 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (* 1 1) into 1 3.539 * [backup-simplify]: Simplify (/ 1 1) into 1 3.539 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.539 * [taylor]: Taking taylor expansion of 4.0 in x 3.539 * [backup-simplify]: Simplify 4.0 into 4.0 3.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.539 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.539 * [taylor]: Taking taylor expansion of y in x 3.539 * [backup-simplify]: Simplify y into y 3.539 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.539 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.539 * [backup-simplify]: Simplify (* 1 1) into 1 3.540 * [backup-simplify]: Simplify (+ 1 0) into 1 3.540 * [backup-simplify]: Simplify (* 1 1) into 1 3.540 * [backup-simplify]: Simplify (/ 1 1) into 1 3.540 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.540 * [taylor]: Taking taylor expansion of 4.0 in x 3.540 * [backup-simplify]: Simplify 4.0 into 4.0 3.540 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.540 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.540 * [taylor]: Taking taylor expansion of x in x 3.540 * [backup-simplify]: Simplify 0 into 0 3.540 * [backup-simplify]: Simplify 1 into 1 3.541 * [backup-simplify]: Simplify (* 1 1) into 1 3.541 * [backup-simplify]: Simplify (/ 1 1) into 1 3.541 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.541 * [taylor]: Taking taylor expansion of 4.0 in x 3.541 * [backup-simplify]: Simplify 4.0 into 4.0 3.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.541 * [taylor]: Taking taylor expansion of y in x 3.541 * [backup-simplify]: Simplify y into y 3.541 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.541 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.541 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.541 * [taylor]: Taking taylor expansion of y in x 3.541 * [backup-simplify]: Simplify y into y 3.541 * [backup-simplify]: Simplify (+ 1 0) into 1 3.542 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.542 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.542 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.542 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x 3.542 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x 3.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.542 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.542 * [taylor]: Taking taylor expansion of x in x 3.542 * [backup-simplify]: Simplify 0 into 0 3.542 * [backup-simplify]: Simplify 1 into 1 3.542 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (/ 1 1) into 1 3.543 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.543 * [taylor]: Taking taylor expansion of 4.0 in x 3.543 * [backup-simplify]: Simplify 4.0 into 4.0 3.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.543 * [taylor]: Taking taylor expansion of y in x 3.543 * [backup-simplify]: Simplify y into y 3.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.543 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.543 * [backup-simplify]: Simplify (* 1 1) into 1 3.543 * [backup-simplify]: Simplify (+ 1 0) into 1 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.544 * [backup-simplify]: Simplify (/ 1 1) into 1 3.544 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x 3.544 * [taylor]: Taking taylor expansion of 4.0 in x 3.544 * [backup-simplify]: Simplify 4.0 into 4.0 3.544 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x 3.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x 3.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x 3.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.544 * [taylor]: Taking taylor expansion of x in x 3.544 * [backup-simplify]: Simplify 0 into 0 3.544 * [backup-simplify]: Simplify 1 into 1 3.544 * [backup-simplify]: Simplify (* 1 1) into 1 3.545 * [backup-simplify]: Simplify (/ 1 1) into 1 3.545 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x 3.545 * [taylor]: Taking taylor expansion of 4.0 in x 3.545 * [backup-simplify]: Simplify 4.0 into 4.0 3.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.545 * [taylor]: Taking taylor expansion of y in x 3.545 * [backup-simplify]: Simplify y into y 3.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.545 * [taylor]: Taking taylor expansion of y in x 3.545 * [backup-simplify]: Simplify y into y 3.545 * [backup-simplify]: Simplify (+ 1 0) into 1 3.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.545 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2) 3.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.546 * [backup-simplify]: Simplify (+ 1 0) into 1 3.546 * [taylor]: Taking taylor expansion of 1 in y 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify 1 into 1 3.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.547 * [backup-simplify]: Simplify (+ 0 0) into 0 3.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (+ 0 0) into 0 3.548 * [taylor]: Taking taylor expansion of 0 in y 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 0 into 0 3.548 * [backup-simplify]: Simplify 0 into 0 3.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.550 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.550 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2))) 3.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.551 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2))) 3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.552 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2)) 3.552 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2)))) 3.552 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2)))) 3.552 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y 3.552 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y 3.552 * [taylor]: Taking taylor expansion of 8.0 in y 3.552 * [backup-simplify]: Simplify 8.0 into 8.0 3.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.552 * [taylor]: Taking taylor expansion of y in y 3.552 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify 1 into 1 3.552 * [backup-simplify]: Simplify (* 1 1) into 1 3.553 * [backup-simplify]: Simplify (/ 1 1) into 1 3.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.555 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0 3.555 * [backup-simplify]: Simplify (- 0) into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.555 * [backup-simplify]: Simplify 0 into 0 3.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.557 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.558 * [backup-simplify]: Simplify (+ 0 0) into 0 3.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 3.564 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.565 * [backup-simplify]: Simplify (+ 0 0) into 0 3.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0 3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.566 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0 3.566 * [backup-simplify]: Simplify (- 0) into 0 3.566 * [backup-simplify]: Simplify (+ 0 0) into 0 3.566 * [taylor]: Taking taylor expansion of 0 in y 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 0 into 0 3.566 * [backup-simplify]: Simplify 1 into 1 3.566 * * * [progress]: simplifying candidates 3.568 * [simplify]: Simplifying: (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) 1) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) 1) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y)))) (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x 1) (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) 1) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (* (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 0 0 0 0 0 0 (- 1.0) 1 1 3.570 * * [simplify]: Extracting # 0 : cost 0 3.570 * * [simplify]: Extracting # 1 : cost 0 3.571 * * [simplify]: Extracting # 2 : cost 0 3.571 * * [simplify]: Extracting # 3 : cost 0 3.571 * * [simplify]: Extracting # 4 : cost 0 3.571 * * [simplify]: Extracting # 5 : cost 0 3.571 * * [simplify]: Extracting # 6 : cost 0 3.571 * * [simplify]: Extracting # 7 : cost 0 3.571 * * [simplify]: iteration 0 : 130 enodes (cost 1924 ) 3.616 * * [simplify]: Extracting # 0 : cost 0 3.617 * * [simplify]: Extracting # 1 : cost 0 3.617 * * [simplify]: Extracting # 2 : cost 0 3.617 * * [simplify]: Extracting # 3 : cost 0 3.618 * * [simplify]: Extracting # 4 : cost 0 3.618 * * [simplify]: iteration 1 : 350 enodes (cost 1812 ) 3.804 * * [simplify]: Extracting # 0 : cost 0 3.806 * * [simplify]: Extracting # 1 : cost 0 3.807 * * [simplify]: Extracting # 2 : cost 0 3.809 * * [simplify]: Extracting # 3 : cost 0 3.810 * * [simplify]: Extracting # 4 : cost 0 3.812 * * [simplify]: Extracting # 5 : cost 0 3.813 * * [simplify]: iteration 2 : 1313 enodes (cost 1590 ) 4.992 * * [simplify]: Extracting # 0 : cost 0 5.003 * * [simplify]: Extracting # 1 : cost 0 5.014 * * [simplify]: Extracting # 2 : cost 0 5.025 * * [simplify]: Extracting # 3 : cost 0 5.044 * * [simplify]: Extracting # 4 : cost 0 5.055 * * [simplify]: iteration done: 5000 enodes (cost 1590 ) 5.056 * [simplify]: Simplified to: (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* (* y 4.0) y)) (- (+ (* x x) (* (* y 4.0) y))) (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ y (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ y (sqrt (+ (* x x) (* (* y 4.0) y)))) (* y 4.0) (/ y (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)) (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* (* y 4.0) y) (/ (+ (* x x) (* (* y 4.0) y)) y) (/ (* (* y 4.0) y) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (- (* (pow x 3) x) (* (* (pow y 3) (* 4.0 4.0)) y))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (log (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (- (* x x)) (- (+ (* x x) (* (* y 4.0) y))) (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ x (cbrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) x (/ x (+ (* x x) (* (* y 4.0) y))) (/ 1 (+ (* x x) (* (* y 4.0) y))) (/ (+ (* x x) (* (* y 4.0) y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))) (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y)))) (* x x) (/ (+ (* x x) (* (* y 4.0) y)) x) (/ (* x x) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ (* x x) (- (* (pow x 3) x) (* (* (pow y 3) (* 4.0 4.0)) y))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (pow (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 3) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (* x x) (* (* y 4.0) y)) (- (* (pow x 3) x) (* (* (pow y 3) (* 4.0 4.0)) y)) (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3)) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (/ (/ (pow x 3) (/ (+ (* x x) (* (* y 4.0) y)) x)) (+ (* x x) (* (* y 4.0) y)))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (/ (pow x 3) (/ (+ (* x x) (* (* y 4.0) y)) x)) (+ (* x x) (* (* y 4.0) y))) (* (/ (* (pow y 3) (* 4.0 4.0)) (+ (* x x) (* (* y 4.0) y))) (/ y (+ (* x x) (* (* y 4.0) y))))) (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (* x x) (* (* y 4.0) y)) (- (/ (* x x) (+ (pow x 6) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow x 6) (pow (* (* y 4.0) y) 3)))) (- (/ (* x x) (- (* (pow x 3) x) (* (* (pow y 3) (* 4.0 4.0)) y))) (/ (* (* y 4.0) y) (- (* (pow x 3) x) (* (* (pow y 3) (* 4.0 4.0)) y)))) (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 0 0 0 0 0 0 (- 1.0) 1 1 5.057 * * * [progress]: adding candidates to table 5.308 * * [progress]: iteration 3 / 4 5.308 * * * [progress]: picking best candidate 5.312 * * * * [pick]: Picked # 5.312 * * * [progress]: localizing error 5.313 * * * [progress]: generating rewritten candidates 5.314 * * * [progress]: generating series expansions 5.314 * * * [progress]: simplifying candidates 5.314 * [simplify]: Simplifying: 5.314 * * [simplify]: Extracting # 0 : cost 0 5.314 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.314 * * [simplify]: Extracting # 0 : cost 0 5.314 * * [simplify]: iteration done: 0 enodes (cost 0 ) 5.314 * [simplify]: Simplified to: 5.314 * * * [progress]: adding candidates to table 5.314 * * [progress]: iteration 4 / 4 5.314 * * * [progress]: picking best candidate 5.316 * * * * [pick]: Picked # 5.316 * * * [progress]: localizing error 5.317 * * * [progress]: generating rewritten candidates 5.317 * * * [progress]: generating series expansions 5.317 * * * [progress]: simplifying candidates 5.317 * [simplify]: Simplifying: 5.317 * * [simplify]: Extracting # 0 : cost 0 5.317 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 5.317 * * [simplify]: Extracting # 0 : cost 0 5.317 * * [simplify]: iteration done: 0 enodes (cost 0 ) 5.317 * [simplify]: Simplified to: 5.317 * * * [progress]: adding candidates to table 5.318 * [progress]: [Phase 3 of 3] Extracting. 5.318 * * [regime]: Finding splitpoints for: (# # #) 5.319 * * * [regime-changes]: Trying 4 branch expressions: ((* (* y 4.0) y) (* x x) y x) 5.319 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (# # #) 5.355 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 5.375 * * * * [regimes]: Trying to branch on y from (# # #) 5.423 * * * * [regimes]: Trying to branch on x from (# # #) 5.455 * * * [regime]: Found split indices: #