1.719 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.064 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.069 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.069 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.069 * * [simplify]: iteration 0: 9 enodes 0.073 * * [simplify]: iteration 1: 22 enodes 0.081 * * [simplify]: iteration 2: 46 enodes 0.109 * * [simplify]: iteration 3: 95 enodes 0.144 * * [simplify]: iteration 4: 177 enodes 0.224 * * [simplify]: iteration 5: 339 enodes 0.326 * * [simplify]: iteration 6: 575 enodes 0.615 * * [simplify]: iteration 7: 1519 enodes 1.184 * * [simplify]: iteration 8: 2001 enodes 1.672 * * [simplify]: iteration complete: 2001 enodes 1.672 * * [simplify]: Extracting #0: cost 1 inf + 0 1.673 * * [simplify]: Extracting #1: cost 78 inf + 0 1.675 * * [simplify]: Extracting #2: cost 338 inf + 1 1.679 * * [simplify]: Extracting #3: cost 539 inf + 3 1.688 * * [simplify]: Extracting #4: cost 325 inf + 16670 1.706 * * [simplify]: Extracting #5: cost 144 inf + 44417 1.745 * * [simplify]: Extracting #6: cost 7 inf + 78093 1.784 * * [simplify]: Extracting #7: cost 0 inf + 80227 1.808 * [simplify]: Simplified to: (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 1.814 * * [progress]: iteration 1 / 4 1.814 * * * [progress]: picking best candidate 1.816 * * * * [pick]: Picked # 1.817 * * * [progress]: localizing error 1.834 * * * [progress]: generating rewritten candidates 1.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.852 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.874 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.961 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.974 * * * [progress]: generating series expansions 1.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.975 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 1.975 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 1.975 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 1.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [backup-simplify]: Simplify y into y 1.975 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [backup-simplify]: Simplify y into y 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.975 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.976 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 1.976 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.976 * [taylor]: Taking taylor expansion of y in y 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.976 * [taylor]: Taking taylor expansion of x in y 1.976 * [backup-simplify]: Simplify x into x 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.977 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.977 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.977 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.977 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 1.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.977 * [taylor]: Taking taylor expansion of y in y 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.977 * [taylor]: Taking taylor expansion of x in y 1.977 * [backup-simplify]: Simplify x into x 1.978 * [backup-simplify]: Simplify (* 1 1) into 1 1.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.978 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 1.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.978 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.978 * [taylor]: Taking taylor expansion of x in x 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.984 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in x 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.989 * [backup-simplify]: Simplify (+ 1 0) into 1 1.990 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 1.990 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 1.990 * [taylor]: Taking taylor expansion of (pow x 4) in x 1.990 * [taylor]: Taking taylor expansion of x in x 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.004 * [backup-simplify]: Simplify (- 0) into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.007 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 2.007 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.007 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.007 * [taylor]: Taking taylor expansion of y in x 2.007 * [backup-simplify]: Simplify y into y 2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.007 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.007 * [taylor]: Taking taylor expansion of y in x 2.007 * [backup-simplify]: Simplify y into y 2.007 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.007 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.007 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.007 * [taylor]: Taking taylor expansion of x in x 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.009 * [backup-simplify]: Simplify (+ 0 1) into 1 2.009 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.009 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.009 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.009 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.009 * [taylor]: Taking taylor expansion of y in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.009 * [taylor]: Taking taylor expansion of y in y 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (* 1 1) into 1 2.010 * [backup-simplify]: Simplify (/ 1 1) into 1 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.010 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.010 * [taylor]: Taking taylor expansion of x in y 2.010 * [backup-simplify]: Simplify x into x 2.010 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.010 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (+ 1 0) into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.012 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.012 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.012 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.012 * [taylor]: Taking taylor expansion of y in y 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (* 1 1) into 1 2.013 * [backup-simplify]: Simplify (/ 1 1) into 1 2.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.013 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.013 * [taylor]: Taking taylor expansion of x in y 2.013 * [backup-simplify]: Simplify x into x 2.013 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.013 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.014 * [backup-simplify]: Simplify (+ 1 0) into 1 2.014 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.015 * [taylor]: Taking taylor expansion of 1 in x 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ 0 0) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [taylor]: Taking taylor expansion of 0 in x 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.019 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 2.020 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.020 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.020 * [taylor]: Taking taylor expansion of x in x 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.025 * [backup-simplify]: Simplify (- 0) into 0 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.026 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 2.026 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.026 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [backup-simplify]: Simplify y into y 2.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.026 * [taylor]: Taking taylor expansion of y in x 2.026 * [backup-simplify]: Simplify y into y 2.026 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.026 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.026 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.026 * [taylor]: Taking taylor expansion of x in x 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.027 * [backup-simplify]: Simplify (/ 1 1) into 1 2.027 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.027 * [backup-simplify]: Simplify (+ 0 1) into 1 2.027 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.027 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.027 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.027 * [taylor]: Taking taylor expansion of y in y 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.028 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.028 * [taylor]: Taking taylor expansion of y in y 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.028 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.028 * [taylor]: Taking taylor expansion of x in y 2.028 * [backup-simplify]: Simplify x into x 2.028 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.028 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (+ 1 0) into 1 2.029 * [backup-simplify]: Simplify (* 1 1) into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.029 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.029 * [taylor]: Taking taylor expansion of y in y 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.030 * [backup-simplify]: Simplify (/ 1 1) into 1 2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.030 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.030 * [taylor]: Taking taylor expansion of x in y 2.030 * [backup-simplify]: Simplify x into x 2.030 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.030 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.030 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (+ 1 0) into 1 2.031 * [backup-simplify]: Simplify (* 1 1) into 1 2.031 * [backup-simplify]: Simplify (/ 1 1) into 1 2.031 * [taylor]: Taking taylor expansion of 1 in x 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.034 * [taylor]: Taking taylor expansion of 0 in x 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 2.036 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.036 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.036 * [taylor]: Taking taylor expansion of x in x 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (/ 1 1) into 1 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.043 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 2.043 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 2.044 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 2.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.044 * [taylor]: Taking taylor expansion of x in y 2.044 * [backup-simplify]: Simplify x into x 2.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.044 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.044 * [taylor]: Taking taylor expansion of y in y 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.044 * [taylor]: Taking taylor expansion of x in y 2.044 * [backup-simplify]: Simplify x into x 2.044 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.044 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.044 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.044 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.044 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.044 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.044 * [taylor]: Taking taylor expansion of y in x 2.044 * [backup-simplify]: Simplify y into y 2.044 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.044 * [taylor]: Taking taylor expansion of x in x 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (* 1 1) into 1 2.044 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.044 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.045 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.045 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.045 * [taylor]: Taking taylor expansion of y in x 2.045 * [backup-simplify]: Simplify y into y 2.045 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.045 * [taylor]: Taking taylor expansion of x in x 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.045 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.045 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.045 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.045 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.045 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.045 * [taylor]: Taking taylor expansion of y in y 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 1 into 1 2.045 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (/ 1 1) into 1 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.048 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.048 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.049 * [taylor]: Taking taylor expansion of 0 in y 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.051 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.051 * [backup-simplify]: Simplify (* 1 1) into 1 2.051 * [backup-simplify]: Simplify (+ 0 1) into 1 2.051 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 2.051 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 2.051 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.051 * [taylor]: Taking taylor expansion of y in y 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.064 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 2.064 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.064 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.064 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.064 * [taylor]: Taking taylor expansion of x in y 2.064 * [backup-simplify]: Simplify x into x 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.064 * [taylor]: Taking taylor expansion of y in y 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.065 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.065 * [taylor]: Taking taylor expansion of x in y 2.065 * [backup-simplify]: Simplify x into x 2.065 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.065 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.066 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.066 * [backup-simplify]: Simplify (+ 1 0) into 1 2.066 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.066 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.066 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.066 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.066 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.066 * [taylor]: Taking taylor expansion of x in x 2.066 * [backup-simplify]: Simplify 0 into 0 2.066 * [backup-simplify]: Simplify 1 into 1 2.066 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.066 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.066 * [taylor]: Taking taylor expansion of y in x 2.066 * [backup-simplify]: Simplify y into y 2.066 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.067 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.067 * [taylor]: Taking taylor expansion of x in x 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [backup-simplify]: Simplify (* 1 1) into 1 2.067 * [backup-simplify]: Simplify (/ 1 1) into 1 2.068 * [backup-simplify]: Simplify (* 1 1) into 1 2.068 * [backup-simplify]: Simplify (+ 0 1) into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.069 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.069 * [taylor]: Taking taylor expansion of x in x 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.069 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.069 * [taylor]: Taking taylor expansion of y in x 2.069 * [backup-simplify]: Simplify y into y 2.069 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.069 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.070 * [taylor]: Taking taylor expansion of x in x 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (* 1 1) into 1 2.070 * [backup-simplify]: Simplify (/ 1 1) into 1 2.071 * [backup-simplify]: Simplify (* 1 1) into 1 2.071 * [backup-simplify]: Simplify (+ 0 1) into 1 2.072 * [backup-simplify]: Simplify (* 1 1) into 1 2.072 * [backup-simplify]: Simplify (/ 1 1) into 1 2.072 * [taylor]: Taking taylor expansion of 1 in y 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (+ 0 0) into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.076 * [taylor]: Taking taylor expansion of 0 in y 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.078 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.081 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.081 * [taylor]: Taking taylor expansion of y in y 2.081 * [backup-simplify]: Simplify 0 into 0 2.081 * [backup-simplify]: Simplify 1 into 1 2.081 * [backup-simplify]: Simplify (* 1 1) into 1 2.081 * [backup-simplify]: Simplify (/ 1 1) into 1 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.089 * [backup-simplify]: Simplify (- 0) into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 2.090 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 2.090 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.090 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.090 * [taylor]: Taking taylor expansion of x in y 2.090 * [backup-simplify]: Simplify x into x 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.091 * [backup-simplify]: Simplify (* 1 1) into 1 2.091 * [backup-simplify]: Simplify (/ 1 1) into 1 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.091 * [taylor]: Taking taylor expansion of x in y 2.091 * [backup-simplify]: Simplify x into x 2.091 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.091 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.091 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.092 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.092 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.092 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.092 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.092 * [taylor]: Taking taylor expansion of y in x 2.092 * [backup-simplify]: Simplify y into y 2.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify (/ 1 1) into 1 2.094 * [backup-simplify]: Simplify (* 1 1) into 1 2.094 * [backup-simplify]: Simplify (+ 0 1) into 1 2.095 * [backup-simplify]: Simplify (* 1 1) into 1 2.095 * [backup-simplify]: Simplify (/ 1 1) into 1 2.095 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.095 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.095 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.095 * [taylor]: Taking taylor expansion of x in x 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.095 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.095 * [taylor]: Taking taylor expansion of y in x 2.095 * [backup-simplify]: Simplify y into y 2.096 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.096 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.096 * [taylor]: Taking taylor expansion of x in x 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.097 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify (* 1 1) into 1 2.098 * [backup-simplify]: Simplify (+ 0 1) into 1 2.098 * [backup-simplify]: Simplify (* 1 1) into 1 2.098 * [backup-simplify]: Simplify (/ 1 1) into 1 2.098 * [taylor]: Taking taylor expansion of 1 in y 2.098 * [backup-simplify]: Simplify 1 into 1 2.098 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.100 * [backup-simplify]: Simplify (+ 0 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.102 * [taylor]: Taking taylor expansion of 0 in y 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.107 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.107 * [taylor]: Taking taylor expansion of y in y 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.108 * [backup-simplify]: Simplify (/ 1 1) into 1 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify (- 0) into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.113 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 2.113 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 2.113 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 2.113 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 2.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.113 * [taylor]: Taking taylor expansion of x in y 2.113 * [backup-simplify]: Simplify x into x 2.113 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.113 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify 1 into 1 2.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.113 * [taylor]: Taking taylor expansion of x in y 2.113 * [backup-simplify]: Simplify x into x 2.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.113 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.113 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.113 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 2.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.113 * [taylor]: Taking taylor expansion of y in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.114 * [taylor]: Taking taylor expansion of y in y 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.114 * [taylor]: Taking taylor expansion of x in y 2.114 * [backup-simplify]: Simplify x into x 2.114 * [backup-simplify]: Simplify (* 1 1) into 1 2.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.114 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.114 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 2.114 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.114 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.114 * [taylor]: Taking taylor expansion of y in x 2.114 * [backup-simplify]: Simplify y into y 2.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.114 * [taylor]: Taking taylor expansion of x in x 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (* 1 1) into 1 2.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.115 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.115 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 2.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [backup-simplify]: Simplify y into y 2.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [backup-simplify]: Simplify y into y 2.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.115 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.115 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.115 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 2.115 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 2.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.115 * [taylor]: Taking taylor expansion of x in x 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.115 * [taylor]: Taking taylor expansion of y in x 2.115 * [backup-simplify]: Simplify y into y 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (* 1 1) into 1 2.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.116 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.116 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.116 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 2.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.116 * [taylor]: Taking taylor expansion of y in x 2.116 * [backup-simplify]: Simplify y into y 2.116 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.116 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.116 * [taylor]: Taking taylor expansion of y in x 2.116 * [backup-simplify]: Simplify y into y 2.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.116 * [taylor]: Taking taylor expansion of x in x 2.116 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify 1 into 1 2.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.116 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.116 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.116 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.117 * [backup-simplify]: Simplify (- 1) into -1 2.117 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.117 * [taylor]: Taking taylor expansion of -1 in y 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [backup-simplify]: Simplify -1 into -1 2.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 2.118 * [backup-simplify]: Simplify (- 0) into 0 2.118 * [backup-simplify]: Simplify (+ 0 0) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in y 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.119 * [backup-simplify]: Simplify (* 1 1) into 1 2.119 * [backup-simplify]: Simplify (+ 0 1) into 1 2.119 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 2.119 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 2.119 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 2.119 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.120 * [taylor]: Taking taylor expansion of 2 in y 2.120 * [backup-simplify]: Simplify 2 into 2 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.120 * [taylor]: Taking taylor expansion of y in y 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (* 1 1) into 1 2.120 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.124 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.125 * [backup-simplify]: Simplify (+ 0 0) into 0 2.125 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 2.126 * [backup-simplify]: Simplify (- 0) into 0 2.126 * [backup-simplify]: Simplify (+ 0 0) into 0 2.126 * [taylor]: Taking taylor expansion of 0 in y 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify -1 into -1 2.126 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 2.126 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 2.126 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.126 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.126 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.126 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.126 * [taylor]: Taking taylor expansion of x in y 2.127 * [backup-simplify]: Simplify x into x 2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.127 * [taylor]: Taking taylor expansion of y in y 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* 1 1) into 1 2.127 * [backup-simplify]: Simplify (/ 1 1) into 1 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.127 * [taylor]: Taking taylor expansion of x in y 2.127 * [backup-simplify]: Simplify x into x 2.127 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.127 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.128 * [backup-simplify]: Simplify (+ 1 0) into 1 2.128 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.128 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.128 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.128 * [taylor]: Taking taylor expansion of y in y 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.128 * [taylor]: Taking taylor expansion of y in y 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (* 1 1) into 1 2.128 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.128 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.129 * [taylor]: Taking taylor expansion of x in y 2.129 * [backup-simplify]: Simplify x into x 2.129 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.129 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.129 * [backup-simplify]: Simplify (* 1 1) into 1 2.129 * [backup-simplify]: Simplify (+ 1 0) into 1 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.130 * [backup-simplify]: Simplify (/ 1 1) into 1 2.130 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.130 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.130 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.130 * [taylor]: Taking taylor expansion of y in x 2.130 * [backup-simplify]: Simplify y into y 2.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.130 * [taylor]: Taking taylor expansion of x in x 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify 1 into 1 2.130 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (/ 1 1) into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.131 * [backup-simplify]: Simplify (+ 0 1) into 1 2.131 * [backup-simplify]: Simplify (* 1 1) into 1 2.132 * [backup-simplify]: Simplify (/ 1 1) into 1 2.132 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.132 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.132 * [taylor]: Taking taylor expansion of y in x 2.132 * [backup-simplify]: Simplify y into y 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.132 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.132 * [taylor]: Taking taylor expansion of y in x 2.132 * [backup-simplify]: Simplify y into y 2.132 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.132 * [taylor]: Taking taylor expansion of x in x 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* 1 1) into 1 2.132 * [backup-simplify]: Simplify (/ 1 1) into 1 2.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.133 * [backup-simplify]: Simplify (+ 0 1) into 1 2.133 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.133 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.133 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.133 * [taylor]: Taking taylor expansion of y in x 2.133 * [backup-simplify]: Simplify y into y 2.133 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.133 * [taylor]: Taking taylor expansion of x in x 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* 1 1) into 1 2.134 * [backup-simplify]: Simplify (/ 1 1) into 1 2.134 * [backup-simplify]: Simplify (* 1 1) into 1 2.134 * [backup-simplify]: Simplify (+ 0 1) into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ 1 1) into 1 2.135 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.135 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.135 * [taylor]: Taking taylor expansion of y in x 2.135 * [backup-simplify]: Simplify y into y 2.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.135 * [taylor]: Taking taylor expansion of y in x 2.135 * [backup-simplify]: Simplify y into y 2.135 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.135 * [taylor]: Taking taylor expansion of x in x 2.135 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify 1 into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.136 * [backup-simplify]: Simplify (+ 0 1) into 1 2.136 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.137 * [backup-simplify]: Simplify (+ 1 0) into 1 2.137 * [taylor]: Taking taylor expansion of 1 in y 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [taylor]: Taking taylor expansion of 0 in y 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.144 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.145 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.145 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 2.145 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.145 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.145 * [taylor]: Taking taylor expansion of 2 in y 2.145 * [backup-simplify]: Simplify 2 into 2 2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.145 * [taylor]: Taking taylor expansion of y in y 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (* 1 1) into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.155 * [backup-simplify]: Simplify (+ 0 0) into 0 2.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.163 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.164 * [backup-simplify]: Simplify (- 0) into 0 2.164 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [taylor]: Taking taylor expansion of 0 in y 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 0 into 0 2.164 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 2.165 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 2.165 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 2.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.165 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.165 * [taylor]: Taking taylor expansion of x in y 2.165 * [backup-simplify]: Simplify x into x 2.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.165 * [taylor]: Taking taylor expansion of y in y 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.166 * [backup-simplify]: Simplify (* 1 1) into 1 2.166 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.166 * [taylor]: Taking taylor expansion of x in y 2.166 * [backup-simplify]: Simplify x into x 2.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.166 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.167 * [backup-simplify]: Simplify (+ 1 0) into 1 2.167 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 2.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.167 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 2.167 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.167 * [taylor]: Taking taylor expansion of y in y 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.167 * [taylor]: Taking taylor expansion of y in y 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (* 1 1) into 1 2.168 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.168 * [taylor]: Taking taylor expansion of x in y 2.168 * [backup-simplify]: Simplify x into x 2.168 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.169 * [backup-simplify]: Simplify (* 1 1) into 1 2.169 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.170 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.170 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.170 * [taylor]: Taking taylor expansion of x in x 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify 1 into 1 2.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.170 * [taylor]: Taking taylor expansion of y in x 2.170 * [backup-simplify]: Simplify y into y 2.170 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.171 * [taylor]: Taking taylor expansion of x in x 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [backup-simplify]: Simplify (* 1 1) into 1 2.171 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (+ 0 1) into 1 2.173 * [backup-simplify]: Simplify (* 1 1) into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.173 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.173 * [taylor]: Taking taylor expansion of y in x 2.173 * [backup-simplify]: Simplify y into y 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.173 * [taylor]: Taking taylor expansion of y in x 2.173 * [backup-simplify]: Simplify y into y 2.173 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.173 * [taylor]: Taking taylor expansion of x in x 2.173 * [backup-simplify]: Simplify 0 into 0 2.174 * [backup-simplify]: Simplify 1 into 1 2.174 * [backup-simplify]: Simplify (* 1 1) into 1 2.174 * [backup-simplify]: Simplify (/ 1 1) into 1 2.174 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.175 * [backup-simplify]: Simplify (+ 0 1) into 1 2.175 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.175 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.175 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.175 * [taylor]: Taking taylor expansion of y in x 2.175 * [backup-simplify]: Simplify y into y 2.175 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.175 * [taylor]: Taking taylor expansion of x in x 2.176 * [backup-simplify]: Simplify 0 into 0 2.176 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (* 1 1) into 1 2.176 * [backup-simplify]: Simplify (/ 1 1) into 1 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.177 * [backup-simplify]: Simplify (+ 0 1) into 1 2.177 * [backup-simplify]: Simplify (* 1 1) into 1 2.178 * [backup-simplify]: Simplify (/ 1 1) into 1 2.178 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 2.178 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.178 * [taylor]: Taking taylor expansion of y in x 2.178 * [backup-simplify]: Simplify y into y 2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.178 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.178 * [taylor]: Taking taylor expansion of y in x 2.178 * [backup-simplify]: Simplify y into y 2.178 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.178 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.178 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.178 * [taylor]: Taking taylor expansion of x in x 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1 1) into 1 2.179 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.180 * [backup-simplify]: Simplify (+ 0 1) into 1 2.180 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 2.180 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.180 * [backup-simplify]: Simplify (+ 1 0) into 1 2.180 * [taylor]: Taking taylor expansion of 1 in y 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ 0 0) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in y 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.189 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 2.189 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.190 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 2.190 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.190 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.190 * [taylor]: Taking taylor expansion of 2 in y 2.190 * [backup-simplify]: Simplify 2 into 2 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.190 * [taylor]: Taking taylor expansion of y in y 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (* 1 1) into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.201 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 2.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.201 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [taylor]: Taking taylor expansion of 0 in y 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.202 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.202 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 2.202 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 2.202 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.202 * [taylor]: Taking taylor expansion of y in y 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.202 * [taylor]: Taking taylor expansion of x in y 2.202 * [backup-simplify]: Simplify x into x 2.202 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.202 * [taylor]: Taking taylor expansion of y in x 2.202 * [backup-simplify]: Simplify y into y 2.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.202 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.202 * [taylor]: Taking taylor expansion of y in x 2.202 * [backup-simplify]: Simplify y into y 2.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.202 * [taylor]: Taking taylor expansion of x in x 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.202 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.202 * [taylor]: Taking taylor expansion of y in y 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.203 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [taylor]: Taking taylor expansion of 0 in y 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (+ 0 1) into 1 2.203 * [taylor]: Taking taylor expansion of 1 in y 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [taylor]: Taking taylor expansion of 0 in y 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [taylor]: Taking taylor expansion of 0 in y 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 2.207 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.208 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.208 * [taylor]: Taking taylor expansion of y in y 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (* 1 1) into 1 2.208 * [backup-simplify]: Simplify (/ 1 1) into 1 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.208 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.208 * [taylor]: Taking taylor expansion of x in y 2.208 * [backup-simplify]: Simplify x into x 2.208 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.208 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.208 * [taylor]: Taking taylor expansion of y in x 2.208 * [backup-simplify]: Simplify y into y 2.208 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.208 * [taylor]: Taking taylor expansion of x in x 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* 1 1) into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.209 * [taylor]: Taking taylor expansion of y in x 2.209 * [backup-simplify]: Simplify y into y 2.209 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.209 * [taylor]: Taking taylor expansion of x in x 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* 1 1) into 1 2.210 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [backup-simplify]: Simplify (+ 0 1) into 1 2.210 * [taylor]: Taking taylor expansion of 1 in y 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.211 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [taylor]: Taking taylor expansion of 0 in y 2.211 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.212 * [taylor]: Taking taylor expansion of y in y 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ 0 0) into 0 2.215 * [taylor]: Taking taylor expansion of 0 in y 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify 0 into 0 2.216 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [taylor]: Taking taylor expansion of 0 in y 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.219 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.219 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.219 * [taylor]: Taking taylor expansion of y in y 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (* 1 1) into 1 2.220 * [backup-simplify]: Simplify (/ 1 1) into 1 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.220 * [taylor]: Taking taylor expansion of x in y 2.220 * [backup-simplify]: Simplify x into x 2.220 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.220 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.220 * [taylor]: Taking taylor expansion of y in x 2.220 * [backup-simplify]: Simplify y into y 2.220 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.220 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.220 * [taylor]: Taking taylor expansion of x in x 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (/ 1 1) into 1 2.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.221 * [taylor]: Taking taylor expansion of y in x 2.221 * [backup-simplify]: Simplify y into y 2.221 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.221 * [taylor]: Taking taylor expansion of x in x 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [backup-simplify]: Simplify (+ 0 1) into 1 2.222 * [taylor]: Taking taylor expansion of 1 in y 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [taylor]: Taking taylor expansion of 0 in y 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.224 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.224 * [taylor]: Taking taylor expansion of y in y 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.229 * [backup-simplify]: Simplify (+ 0 0) into 0 2.229 * [taylor]: Taking taylor expansion of 0 in y 2.229 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.231 * * * [progress]: simplifying candidates 2.231 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 2.231 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))> 2.232 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 2.232 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))> 2.233 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 2.233 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))> 2.234 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 2.234 * * * * [progress]: [ 83 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 2.234 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 2.235 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* y y) (+ (* x x) (* y y)))) (cbrt (/ (* y y) (+ (* x x) (* y y))))) (cbrt (/ (* y y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* y y)) (/ (* y y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* y y) (sqrt (+ (* x x) (* y y)))) (/ (* y y) 1) (/ (+ (* x x) (* y y)) y) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* y y) (+ (* x x) (* y y)))) (- (+ (log x) (log x)) (log (+ (* x x) (* y y)))) (- (log (* x x)) (log (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x 1) (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* x x) 1) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* x x) (+ (* x x) (* y y)))) (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* x x) (* y y))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (- (* x x) (* y y)) (- (* (* x x) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* x x) (* y y))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))) (- (/ (* y y) (+ (* x x) (* y y)))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (- (* x x) (* y y)) (- (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* y y) (+ (pow (* x x) 3) (pow (* y y) 3)))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (- (/ (* y y) (+ (* x x) (* y y)))) (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) 0 0 0 0 0 0 -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 2.237 * * [simplify]: iteration 0: 132 enodes 2.269 * * [simplify]: iteration 1: 429 enodes 2.500 * * [simplify]: iteration 2: 1811 enodes 2.963 * * [simplify]: iteration 3: 2002 enodes 3.461 * * [simplify]: iteration complete: 2002 enodes 3.461 * * [simplify]: Extracting #0: cost 82 inf + 0 3.462 * * [simplify]: Extracting #1: cost 312 inf + 87 3.476 * * [simplify]: Extracting #2: cost 631 inf + 15306 3.504 * * [simplify]: Extracting #3: cost 216 inf + 87534 3.548 * * [simplify]: Extracting #4: cost 17 inf + 124497 3.595 * * [simplify]: Extracting #5: cost 0 inf + 126769 3.634 * [simplify]: Simplified to: (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ (/ y (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) y (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (/ (/ (* y y) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (* y y) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (/ (* y y) (+ (* y y) (* x x))) (- (* x x) (* y y))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (exp (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* y y) (* x x))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (/ (* x x) (+ (* y y) (* x x))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (cbrt (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* y y) (* x x))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) x (/ x (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* x x)) (/ (/ (* x x) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ (* x x) (sqrt (+ (* y y) (* x x)))) (* x x) (/ (+ (* y y) (* x x)) x) (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (real->posit16 (/ (* x x) (+ (* y y) (* x x)))) (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (* x x) (* y y)) (* (+ (* y y) (* x x)) (- (* x x) (* y y))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (- (* (/ (* x x) (+ (* y y) (* x x))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (+ (* (/ (* y y) (+ (* y y) (* x x))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x)))) (- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (+ (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (* x x) (* y y)) (- (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x))))) (+ (/ (- (* y y)) (* (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (* x x) (* (+ (* x x) (* y y)) (- (* x x) (* y y))))) (- (/ (* y y) (+ (* y y) (* x x)))) (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* y y) (* (* y y) (* y y))) (* (* (* x x) x) (* (* x x) x))) (+ (* (* x x) (* x x)) (* (- (* y y) (* x x)) (* y y))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* y y) (* x x))) 0 0 0 0 0 0 -1 1 1 (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 3.640 * * * [progress]: adding candidates to table 4.306 * * [progress]: iteration 2 / 4 4.306 * * * [progress]: picking best candidate 4.311 * * * * [pick]: Picked # 4.311 * * * [progress]: localizing error 4.342 * * * [progress]: generating rewritten candidates 4.342 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.378 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.464 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 4.473 * * * [progress]: generating series expansions 4.473 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.473 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 4.473 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 4.473 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.473 * [taylor]: Taking taylor expansion of y in x 4.473 * [backup-simplify]: Simplify y into y 4.473 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.473 * [taylor]: Taking taylor expansion of y in x 4.473 * [backup-simplify]: Simplify y into y 4.473 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.473 * [taylor]: Taking taylor expansion of x in x 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.473 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.473 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.473 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 4.473 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.473 * [taylor]: Taking taylor expansion of y in y 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.473 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.473 * [taylor]: Taking taylor expansion of y in y 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.474 * [taylor]: Taking taylor expansion of x in y 4.474 * [backup-simplify]: Simplify x into x 4.474 * [backup-simplify]: Simplify (* 1 1) into 1 4.474 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.474 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.474 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 4.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.474 * [taylor]: Taking taylor expansion of y in y 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.474 * [taylor]: Taking taylor expansion of y in y 4.474 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify 1 into 1 4.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.474 * [taylor]: Taking taylor expansion of x in y 4.474 * [backup-simplify]: Simplify x into x 4.475 * [backup-simplify]: Simplify (* 1 1) into 1 4.475 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.475 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.475 * [taylor]: Taking taylor expansion of x in x 4.475 * [backup-simplify]: Simplify 0 into 0 4.475 * [backup-simplify]: Simplify 1 into 1 4.475 * [backup-simplify]: Simplify (* 1 1) into 1 4.476 * [backup-simplify]: Simplify (/ 1 1) into 1 4.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.477 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.478 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 4.478 * [backup-simplify]: Simplify (+ 0 0) into 0 4.478 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 4.478 * [taylor]: Taking taylor expansion of 0 in x 4.478 * [backup-simplify]: Simplify 0 into 0 4.478 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.480 * [backup-simplify]: Simplify (* 1 1) into 1 4.481 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 4.481 * [backup-simplify]: Simplify (+ 1 0) into 1 4.481 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 4.481 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 4.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 4.481 * [taylor]: Taking taylor expansion of (pow x 4) in x 4.481 * [taylor]: Taking taylor expansion of x in x 4.481 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify 1 into 1 4.481 * [backup-simplify]: Simplify (* 1 1) into 1 4.482 * [backup-simplify]: Simplify (* 1 1) into 1 4.482 * [backup-simplify]: Simplify (/ 1 1) into 1 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.490 * [backup-simplify]: Simplify (- 0) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.492 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 4.492 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.492 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.492 * [taylor]: Taking taylor expansion of y in x 4.492 * [backup-simplify]: Simplify y into y 4.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.492 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.492 * [taylor]: Taking taylor expansion of y in x 4.492 * [backup-simplify]: Simplify y into y 4.492 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.492 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.492 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.492 * [taylor]: Taking taylor expansion of x in x 4.492 * [backup-simplify]: Simplify 0 into 0 4.492 * [backup-simplify]: Simplify 1 into 1 4.492 * [backup-simplify]: Simplify (* 1 1) into 1 4.493 * [backup-simplify]: Simplify (/ 1 1) into 1 4.493 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.493 * [backup-simplify]: Simplify (+ 0 1) into 1 4.493 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.493 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.493 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.493 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.493 * [taylor]: Taking taylor expansion of y in y 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.493 * [taylor]: Taking taylor expansion of y in y 4.493 * [backup-simplify]: Simplify 0 into 0 4.493 * [backup-simplify]: Simplify 1 into 1 4.494 * [backup-simplify]: Simplify (* 1 1) into 1 4.494 * [backup-simplify]: Simplify (/ 1 1) into 1 4.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.494 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.494 * [taylor]: Taking taylor expansion of x in y 4.494 * [backup-simplify]: Simplify x into x 4.494 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.494 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.494 * [backup-simplify]: Simplify (* 1 1) into 1 4.494 * [backup-simplify]: Simplify (+ 1 0) into 1 4.495 * [backup-simplify]: Simplify (* 1 1) into 1 4.495 * [backup-simplify]: Simplify (/ 1 1) into 1 4.495 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.495 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.495 * [taylor]: Taking taylor expansion of y in y 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.495 * [taylor]: Taking taylor expansion of y in y 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify 1 into 1 4.495 * [backup-simplify]: Simplify (* 1 1) into 1 4.496 * [backup-simplify]: Simplify (/ 1 1) into 1 4.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.496 * [taylor]: Taking taylor expansion of x in y 4.496 * [backup-simplify]: Simplify x into x 4.496 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.496 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.496 * [backup-simplify]: Simplify (* 1 1) into 1 4.496 * [backup-simplify]: Simplify (+ 1 0) into 1 4.497 * [backup-simplify]: Simplify (* 1 1) into 1 4.497 * [backup-simplify]: Simplify (/ 1 1) into 1 4.498 * [taylor]: Taking taylor expansion of 1 in x 4.499 * [backup-simplify]: Simplify 1 into 1 4.499 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.500 * [backup-simplify]: Simplify (+ 0 0) into 0 4.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.501 * [taylor]: Taking taylor expansion of 0 in x 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.503 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 4.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.504 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.504 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.504 * [taylor]: Taking taylor expansion of x in x 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 1 into 1 4.504 * [backup-simplify]: Simplify (* 1 1) into 1 4.504 * [backup-simplify]: Simplify (/ 1 1) into 1 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.509 * [backup-simplify]: Simplify (- 0) into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify 0 into 0 4.509 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.509 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 4.509 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.509 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.509 * [taylor]: Taking taylor expansion of y in x 4.509 * [backup-simplify]: Simplify y into y 4.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.509 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.509 * [taylor]: Taking taylor expansion of y in x 4.509 * [backup-simplify]: Simplify y into y 4.509 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.510 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.510 * [taylor]: Taking taylor expansion of x in x 4.510 * [backup-simplify]: Simplify 0 into 0 4.510 * [backup-simplify]: Simplify 1 into 1 4.510 * [backup-simplify]: Simplify (* 1 1) into 1 4.510 * [backup-simplify]: Simplify (/ 1 1) into 1 4.510 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.510 * [backup-simplify]: Simplify (+ 0 1) into 1 4.510 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.511 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.511 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.511 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.511 * [taylor]: Taking taylor expansion of y in y 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.511 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.511 * [taylor]: Taking taylor expansion of y in y 4.511 * [backup-simplify]: Simplify 0 into 0 4.511 * [backup-simplify]: Simplify 1 into 1 4.511 * [backup-simplify]: Simplify (* 1 1) into 1 4.511 * [backup-simplify]: Simplify (/ 1 1) into 1 4.511 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.511 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.511 * [taylor]: Taking taylor expansion of x in y 4.511 * [backup-simplify]: Simplify x into x 4.511 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.511 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.512 * [backup-simplify]: Simplify (* 1 1) into 1 4.512 * [backup-simplify]: Simplify (+ 1 0) into 1 4.512 * [backup-simplify]: Simplify (* 1 1) into 1 4.512 * [backup-simplify]: Simplify (/ 1 1) into 1 4.512 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.512 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.512 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.512 * [taylor]: Taking taylor expansion of y in y 4.512 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify 1 into 1 4.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.513 * [taylor]: Taking taylor expansion of y in y 4.513 * [backup-simplify]: Simplify 0 into 0 4.513 * [backup-simplify]: Simplify 1 into 1 4.513 * [backup-simplify]: Simplify (* 1 1) into 1 4.513 * [backup-simplify]: Simplify (/ 1 1) into 1 4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.513 * [taylor]: Taking taylor expansion of x in y 4.513 * [backup-simplify]: Simplify x into x 4.513 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.513 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.513 * [backup-simplify]: Simplify (* 1 1) into 1 4.514 * [backup-simplify]: Simplify (+ 1 0) into 1 4.514 * [backup-simplify]: Simplify (* 1 1) into 1 4.514 * [backup-simplify]: Simplify (/ 1 1) into 1 4.514 * [taylor]: Taking taylor expansion of 1 in x 4.514 * [backup-simplify]: Simplify 1 into 1 4.514 * [backup-simplify]: Simplify 0 into 0 4.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.515 * [backup-simplify]: Simplify (+ 0 0) into 0 4.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.517 * [taylor]: Taking taylor expansion of 0 in x 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify 0 into 0 4.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.518 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.519 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 4.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.519 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.519 * [taylor]: Taking taylor expansion of x in x 4.519 * [backup-simplify]: Simplify 0 into 0 4.519 * [backup-simplify]: Simplify 1 into 1 4.520 * [backup-simplify]: Simplify (* 1 1) into 1 4.520 * [backup-simplify]: Simplify (/ 1 1) into 1 4.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.524 * [backup-simplify]: Simplify (- 0) into 0 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify 0 into 0 4.525 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.525 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 4.525 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 4.525 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 4.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.525 * [taylor]: Taking taylor expansion of x in y 4.525 * [backup-simplify]: Simplify x into x 4.525 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.525 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.525 * [taylor]: Taking taylor expansion of y in y 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.525 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.525 * [taylor]: Taking taylor expansion of x in y 4.525 * [backup-simplify]: Simplify x into x 4.525 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.525 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.525 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.525 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.525 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.525 * [taylor]: Taking taylor expansion of x in x 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.525 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.525 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.525 * [taylor]: Taking taylor expansion of y in x 4.525 * [backup-simplify]: Simplify y into y 4.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.525 * [taylor]: Taking taylor expansion of x in x 4.525 * [backup-simplify]: Simplify 0 into 0 4.525 * [backup-simplify]: Simplify 1 into 1 4.526 * [backup-simplify]: Simplify (* 1 1) into 1 4.526 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.526 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.526 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.526 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.526 * [taylor]: Taking taylor expansion of x in x 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify 1 into 1 4.526 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.526 * [taylor]: Taking taylor expansion of y in x 4.526 * [backup-simplify]: Simplify y into y 4.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.526 * [taylor]: Taking taylor expansion of x in x 4.526 * [backup-simplify]: Simplify 0 into 0 4.526 * [backup-simplify]: Simplify 1 into 1 4.526 * [backup-simplify]: Simplify (* 1 1) into 1 4.526 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.526 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.526 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.527 * [taylor]: Taking taylor expansion of y in y 4.527 * [backup-simplify]: Simplify 0 into 0 4.527 * [backup-simplify]: Simplify 1 into 1 4.527 * [backup-simplify]: Simplify (* 1 1) into 1 4.527 * [backup-simplify]: Simplify (/ 1 1) into 1 4.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.530 * [backup-simplify]: Simplify (+ 0 0) into 0 4.530 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.530 * [taylor]: Taking taylor expansion of 0 in y 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.532 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.532 * [backup-simplify]: Simplify (* 1 1) into 1 4.532 * [backup-simplify]: Simplify (+ 0 1) into 1 4.533 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 4.533 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 4.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.533 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.533 * [taylor]: Taking taylor expansion of y in y 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify 1 into 1 4.533 * [backup-simplify]: Simplify (* 1 1) into 1 4.533 * [backup-simplify]: Simplify (* 1 1) into 1 4.533 * [backup-simplify]: Simplify (/ 1 1) into 1 4.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.536 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.540 * [backup-simplify]: Simplify (- 0) into 0 4.540 * [backup-simplify]: Simplify 0 into 0 4.540 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.542 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.542 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.542 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.542 * [taylor]: Taking taylor expansion of x in y 4.542 * [backup-simplify]: Simplify x into x 4.542 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.542 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.542 * [taylor]: Taking taylor expansion of y in y 4.542 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify 1 into 1 4.542 * [backup-simplify]: Simplify (* 1 1) into 1 4.542 * [backup-simplify]: Simplify (/ 1 1) into 1 4.542 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.542 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.542 * [taylor]: Taking taylor expansion of x in y 4.542 * [backup-simplify]: Simplify x into x 4.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.542 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.542 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.543 * [backup-simplify]: Simplify (+ 1 0) into 1 4.543 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.543 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.543 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.543 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.543 * [taylor]: Taking taylor expansion of x in x 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.543 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.543 * [taylor]: Taking taylor expansion of y in x 4.543 * [backup-simplify]: Simplify y into y 4.543 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.543 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.543 * [taylor]: Taking taylor expansion of x in x 4.543 * [backup-simplify]: Simplify 0 into 0 4.543 * [backup-simplify]: Simplify 1 into 1 4.543 * [backup-simplify]: Simplify (* 1 1) into 1 4.544 * [backup-simplify]: Simplify (/ 1 1) into 1 4.544 * [backup-simplify]: Simplify (* 1 1) into 1 4.544 * [backup-simplify]: Simplify (+ 0 1) into 1 4.544 * [backup-simplify]: Simplify (* 1 1) into 1 4.545 * [backup-simplify]: Simplify (/ 1 1) into 1 4.545 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.545 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.545 * [taylor]: Taking taylor expansion of x in x 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify 1 into 1 4.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.545 * [taylor]: Taking taylor expansion of y in x 4.545 * [backup-simplify]: Simplify y into y 4.545 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.545 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.545 * [taylor]: Taking taylor expansion of x in x 4.545 * [backup-simplify]: Simplify 0 into 0 4.545 * [backup-simplify]: Simplify 1 into 1 4.545 * [backup-simplify]: Simplify (* 1 1) into 1 4.545 * [backup-simplify]: Simplify (/ 1 1) into 1 4.546 * [backup-simplify]: Simplify (* 1 1) into 1 4.546 * [backup-simplify]: Simplify (+ 0 1) into 1 4.546 * [backup-simplify]: Simplify (* 1 1) into 1 4.546 * [backup-simplify]: Simplify (/ 1 1) into 1 4.547 * [taylor]: Taking taylor expansion of 1 in y 4.547 * [backup-simplify]: Simplify 1 into 1 4.547 * [backup-simplify]: Simplify 0 into 0 4.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.548 * [backup-simplify]: Simplify (+ 0 0) into 0 4.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.549 * [taylor]: Taking taylor expansion of 0 in y 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.549 * [backup-simplify]: Simplify 0 into 0 4.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.550 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.551 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.552 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.552 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.552 * [taylor]: Taking taylor expansion of y in y 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [backup-simplify]: Simplify 1 into 1 4.552 * [backup-simplify]: Simplify (* 1 1) into 1 4.552 * [backup-simplify]: Simplify (/ 1 1) into 1 4.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (- 0) into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 4.559 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.559 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.559 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.559 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.559 * [taylor]: Taking taylor expansion of x in y 4.559 * [backup-simplify]: Simplify x into x 4.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.559 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.559 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.559 * [taylor]: Taking taylor expansion of y in y 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.559 * [backup-simplify]: Simplify (* 1 1) into 1 4.560 * [backup-simplify]: Simplify (/ 1 1) into 1 4.560 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.560 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.560 * [taylor]: Taking taylor expansion of x in y 4.560 * [backup-simplify]: Simplify x into x 4.560 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.560 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.560 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.560 * [backup-simplify]: Simplify (+ 1 0) into 1 4.560 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.560 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.560 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.560 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.560 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.560 * [taylor]: Taking taylor expansion of x in x 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.561 * [taylor]: Taking taylor expansion of y in x 4.561 * [backup-simplify]: Simplify y into y 4.561 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.561 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.561 * [taylor]: Taking taylor expansion of x in x 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [backup-simplify]: Simplify 1 into 1 4.561 * [backup-simplify]: Simplify (* 1 1) into 1 4.561 * [backup-simplify]: Simplify (/ 1 1) into 1 4.561 * [backup-simplify]: Simplify (* 1 1) into 1 4.562 * [backup-simplify]: Simplify (+ 0 1) into 1 4.562 * [backup-simplify]: Simplify (* 1 1) into 1 4.562 * [backup-simplify]: Simplify (/ 1 1) into 1 4.562 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.562 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.562 * [taylor]: Taking taylor expansion of x in x 4.562 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify 1 into 1 4.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.562 * [taylor]: Taking taylor expansion of y in x 4.562 * [backup-simplify]: Simplify y into y 4.562 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.562 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.563 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.563 * [taylor]: Taking taylor expansion of x in x 4.563 * [backup-simplify]: Simplify 0 into 0 4.563 * [backup-simplify]: Simplify 1 into 1 4.563 * [backup-simplify]: Simplify (* 1 1) into 1 4.563 * [backup-simplify]: Simplify (/ 1 1) into 1 4.563 * [backup-simplify]: Simplify (* 1 1) into 1 4.564 * [backup-simplify]: Simplify (+ 0 1) into 1 4.564 * [backup-simplify]: Simplify (* 1 1) into 1 4.564 * [backup-simplify]: Simplify (/ 1 1) into 1 4.564 * [taylor]: Taking taylor expansion of 1 in y 4.564 * [backup-simplify]: Simplify 1 into 1 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.565 * [backup-simplify]: Simplify (+ 0 0) into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.566 * [taylor]: Taking taylor expansion of 0 in y 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 0 into 0 4.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.568 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.569 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.569 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.569 * [taylor]: Taking taylor expansion of y in y 4.569 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify 1 into 1 4.569 * [backup-simplify]: Simplify (* 1 1) into 1 4.570 * [backup-simplify]: Simplify (/ 1 1) into 1 4.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.574 * [backup-simplify]: Simplify (- 0) into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify 0 into 0 4.574 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.575 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))) into (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) 4.575 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in (x y) around 0 4.575 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in y 4.575 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 4.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.575 * [taylor]: Taking taylor expansion of x in y 4.575 * [backup-simplify]: Simplify x into x 4.575 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.575 * [taylor]: Taking taylor expansion of x in y 4.575 * [backup-simplify]: Simplify x into x 4.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.575 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.575 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.575 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.575 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 4.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.575 * [taylor]: Taking taylor expansion of y in y 4.575 * [backup-simplify]: Simplify 0 into 0 4.575 * [backup-simplify]: Simplify 1 into 1 4.575 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.575 * [taylor]: Taking taylor expansion of x in y 4.575 * [backup-simplify]: Simplify x into x 4.575 * [backup-simplify]: Simplify (* 1 1) into 1 4.576 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.576 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.576 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.576 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 4.576 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.576 * [taylor]: Taking taylor expansion of x in x 4.576 * [backup-simplify]: Simplify 0 into 0 4.576 * [backup-simplify]: Simplify 1 into 1 4.576 * [backup-simplify]: Simplify (* 1 1) into 1 4.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.576 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.576 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.576 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 4.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.576 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.576 * [taylor]: Taking taylor expansion of y in x 4.576 * [backup-simplify]: Simplify y into y 4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.577 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.577 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 4.577 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow y 2) (pow x 2))) (/ (pow y 2) (+ (pow y 2) (pow x 2)))) in x 4.577 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.577 * [taylor]: Taking taylor expansion of y in x 4.577 * [backup-simplify]: Simplify y into y 4.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.577 * [taylor]: Taking taylor expansion of x in x 4.577 * [backup-simplify]: Simplify 0 into 0 4.577 * [backup-simplify]: Simplify 1 into 1 4.577 * [backup-simplify]: Simplify (* 1 1) into 1 4.577 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.577 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.578 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 4.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.578 * [taylor]: Taking taylor expansion of y in x 4.578 * [backup-simplify]: Simplify y into y 4.578 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.578 * [taylor]: Taking taylor expansion of y in x 4.578 * [backup-simplify]: Simplify y into y 4.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.578 * [taylor]: Taking taylor expansion of x in x 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.578 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.578 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 4.578 * [backup-simplify]: Simplify (- 1) into -1 4.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.578 * [taylor]: Taking taylor expansion of -1 in y 4.579 * [backup-simplify]: Simplify -1 into -1 4.579 * [backup-simplify]: Simplify -1 into -1 4.579 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.579 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.579 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 4.579 * [backup-simplify]: Simplify (- 0) into 0 4.579 * [backup-simplify]: Simplify (+ 0 0) into 0 4.579 * [taylor]: Taking taylor expansion of 0 in y 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.580 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.580 * [backup-simplify]: Simplify (* 1 1) into 1 4.581 * [backup-simplify]: Simplify (+ 0 1) into 1 4.581 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 4.581 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 4.581 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.581 * [taylor]: Taking taylor expansion of 2 in y 4.581 * [backup-simplify]: Simplify 2 into 2 4.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.581 * [taylor]: Taking taylor expansion of y in y 4.581 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify 1 into 1 4.581 * [backup-simplify]: Simplify (* 1 1) into 1 4.582 * [backup-simplify]: Simplify (/ 1 1) into 1 4.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.585 * [backup-simplify]: Simplify (+ 0 0) into 0 4.585 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.586 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.587 * [backup-simplify]: Simplify (+ 0 0) into 0 4.587 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 4.590 * [backup-simplify]: Simplify (- 0) into 0 4.590 * [backup-simplify]: Simplify (+ 0 0) into 0 4.590 * [taylor]: Taking taylor expansion of 0 in y 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify -1 into -1 4.591 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 4.591 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 4.591 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.591 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.591 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.591 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.591 * [taylor]: Taking taylor expansion of x in y 4.591 * [backup-simplify]: Simplify x into x 4.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.591 * [taylor]: Taking taylor expansion of y in y 4.591 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify 1 into 1 4.591 * [backup-simplify]: Simplify (* 1 1) into 1 4.592 * [backup-simplify]: Simplify (/ 1 1) into 1 4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.592 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.592 * [taylor]: Taking taylor expansion of x in y 4.592 * [backup-simplify]: Simplify x into x 4.592 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.592 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.592 * [backup-simplify]: Simplify (+ 1 0) into 1 4.592 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.592 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.592 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.592 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.592 * [taylor]: Taking taylor expansion of y in y 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.592 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.592 * [taylor]: Taking taylor expansion of y in y 4.592 * [backup-simplify]: Simplify 0 into 0 4.592 * [backup-simplify]: Simplify 1 into 1 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.593 * [backup-simplify]: Simplify (/ 1 1) into 1 4.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.593 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.593 * [taylor]: Taking taylor expansion of x in y 4.593 * [backup-simplify]: Simplify x into x 4.593 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.593 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.593 * [backup-simplify]: Simplify (* 1 1) into 1 4.594 * [backup-simplify]: Simplify (+ 1 0) into 1 4.594 * [backup-simplify]: Simplify (* 1 1) into 1 4.594 * [backup-simplify]: Simplify (/ 1 1) into 1 4.594 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.594 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.594 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.594 * [taylor]: Taking taylor expansion of y in x 4.594 * [backup-simplify]: Simplify y into y 4.594 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.594 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.594 * [taylor]: Taking taylor expansion of x in x 4.594 * [backup-simplify]: Simplify 0 into 0 4.594 * [backup-simplify]: Simplify 1 into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (/ 1 1) into 1 4.595 * [backup-simplify]: Simplify (* 1 1) into 1 4.595 * [backup-simplify]: Simplify (+ 0 1) into 1 4.596 * [backup-simplify]: Simplify (* 1 1) into 1 4.596 * [backup-simplify]: Simplify (/ 1 1) into 1 4.596 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.596 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.596 * [taylor]: Taking taylor expansion of y in x 4.596 * [backup-simplify]: Simplify y into y 4.596 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.596 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.596 * [taylor]: Taking taylor expansion of y in x 4.596 * [backup-simplify]: Simplify y into y 4.596 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.596 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.596 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.596 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.596 * [taylor]: Taking taylor expansion of x in x 4.596 * [backup-simplify]: Simplify 0 into 0 4.596 * [backup-simplify]: Simplify 1 into 1 4.596 * [backup-simplify]: Simplify (* 1 1) into 1 4.597 * [backup-simplify]: Simplify (/ 1 1) into 1 4.597 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.597 * [backup-simplify]: Simplify (+ 0 1) into 1 4.597 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.597 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.597 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.597 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.597 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.597 * [taylor]: Taking taylor expansion of x in x 4.597 * [backup-simplify]: Simplify 0 into 0 4.597 * [backup-simplify]: Simplify 1 into 1 4.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.598 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.598 * [taylor]: Taking taylor expansion of y in x 4.598 * [backup-simplify]: Simplify y into y 4.598 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.598 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.598 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.598 * [taylor]: Taking taylor expansion of x in x 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (* 1 1) into 1 4.598 * [backup-simplify]: Simplify (/ 1 1) into 1 4.598 * [backup-simplify]: Simplify (* 1 1) into 1 4.599 * [backup-simplify]: Simplify (+ 0 1) into 1 4.599 * [backup-simplify]: Simplify (* 1 1) into 1 4.599 * [backup-simplify]: Simplify (/ 1 1) into 1 4.599 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.599 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.599 * [taylor]: Taking taylor expansion of y in x 4.599 * [backup-simplify]: Simplify y into y 4.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.599 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.599 * [taylor]: Taking taylor expansion of y in x 4.599 * [backup-simplify]: Simplify y into y 4.599 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.599 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.599 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.599 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.599 * [taylor]: Taking taylor expansion of x in x 4.599 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 1 into 1 4.600 * [backup-simplify]: Simplify (* 1 1) into 1 4.600 * [backup-simplify]: Simplify (/ 1 1) into 1 4.600 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.600 * [backup-simplify]: Simplify (+ 0 1) into 1 4.600 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.601 * [backup-simplify]: Simplify (+ 1 0) into 1 4.601 * [taylor]: Taking taylor expansion of 1 in y 4.601 * [backup-simplify]: Simplify 1 into 1 4.601 * [backup-simplify]: Simplify 1 into 1 4.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.602 * [backup-simplify]: Simplify (+ 0 0) into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.603 * [backup-simplify]: Simplify (+ 0 0) into 0 4.604 * [taylor]: Taking taylor expansion of 0 in y 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify 0 into 0 4.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.605 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.605 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.606 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.606 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 4.606 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.606 * [taylor]: Taking taylor expansion of 2 in y 4.606 * [backup-simplify]: Simplify 2 into 2 4.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.606 * [taylor]: Taking taylor expansion of y in y 4.606 * [backup-simplify]: Simplify 0 into 0 4.607 * [backup-simplify]: Simplify 1 into 1 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (/ 1 1) into 1 4.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.611 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.611 * [backup-simplify]: Simplify (- 0) into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (+ 0 0) into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.619 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.619 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 4.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.620 * [backup-simplify]: Simplify (- 0) into 0 4.620 * [backup-simplify]: Simplify (+ 0 0) into 0 4.620 * [taylor]: Taking taylor expansion of 0 in y 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify 1 into 1 4.621 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 4.621 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (x y) around 0 4.621 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 4.621 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.621 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.621 * [taylor]: Taking taylor expansion of x in y 4.621 * [backup-simplify]: Simplify x into x 4.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.621 * [taylor]: Taking taylor expansion of y in y 4.621 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify 1 into 1 4.622 * [backup-simplify]: Simplify (* 1 1) into 1 4.622 * [backup-simplify]: Simplify (/ 1 1) into 1 4.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.622 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.622 * [taylor]: Taking taylor expansion of x in y 4.622 * [backup-simplify]: Simplify x into x 4.622 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.623 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.623 * [backup-simplify]: Simplify (+ 1 0) into 1 4.623 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.623 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.623 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.623 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.623 * [taylor]: Taking taylor expansion of y in y 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.623 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.623 * [taylor]: Taking taylor expansion of y in y 4.623 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify 1 into 1 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (/ 1 1) into 1 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.624 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.624 * [taylor]: Taking taylor expansion of x in y 4.624 * [backup-simplify]: Simplify x into x 4.624 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.624 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.624 * [backup-simplify]: Simplify (* 1 1) into 1 4.624 * [backup-simplify]: Simplify (+ 1 0) into 1 4.625 * [backup-simplify]: Simplify (* 1 1) into 1 4.625 * [backup-simplify]: Simplify (/ 1 1) into 1 4.625 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.625 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.625 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.625 * [taylor]: Taking taylor expansion of x in x 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.625 * [taylor]: Taking taylor expansion of y in x 4.625 * [backup-simplify]: Simplify y into y 4.625 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.625 * [taylor]: Taking taylor expansion of x in x 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (* 1 1) into 1 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.626 * [backup-simplify]: Simplify (* 1 1) into 1 4.626 * [backup-simplify]: Simplify (+ 0 1) into 1 4.626 * [backup-simplify]: Simplify (* 1 1) into 1 4.627 * [backup-simplify]: Simplify (/ 1 1) into 1 4.627 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.627 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.627 * [taylor]: Taking taylor expansion of y in x 4.627 * [backup-simplify]: Simplify y into y 4.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.627 * [taylor]: Taking taylor expansion of y in x 4.627 * [backup-simplify]: Simplify y into y 4.627 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.627 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.627 * [taylor]: Taking taylor expansion of x in x 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.627 * [backup-simplify]: Simplify (* 1 1) into 1 4.628 * [backup-simplify]: Simplify (/ 1 1) into 1 4.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.628 * [backup-simplify]: Simplify (+ 0 1) into 1 4.628 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.628 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.628 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 4.628 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.628 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.628 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.628 * [taylor]: Taking taylor expansion of y in x 4.628 * [backup-simplify]: Simplify y into y 4.628 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.628 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.628 * [taylor]: Taking taylor expansion of x in x 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.629 * [backup-simplify]: Simplify (* 1 1) into 1 4.629 * [backup-simplify]: Simplify (/ 1 1) into 1 4.629 * [backup-simplify]: Simplify (* 1 1) into 1 4.629 * [backup-simplify]: Simplify (+ 0 1) into 1 4.629 * [backup-simplify]: Simplify (* 1 1) into 1 4.630 * [backup-simplify]: Simplify (/ 1 1) into 1 4.630 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.630 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.630 * [taylor]: Taking taylor expansion of y in x 4.630 * [backup-simplify]: Simplify y into y 4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.630 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.630 * [taylor]: Taking taylor expansion of y in x 4.630 * [backup-simplify]: Simplify y into y 4.630 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.630 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.630 * [taylor]: Taking taylor expansion of x in x 4.630 * [backup-simplify]: Simplify 0 into 0 4.630 * [backup-simplify]: Simplify 1 into 1 4.630 * [backup-simplify]: Simplify (* 1 1) into 1 4.631 * [backup-simplify]: Simplify (/ 1 1) into 1 4.631 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.631 * [backup-simplify]: Simplify (+ 0 1) into 1 4.631 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.631 * [backup-simplify]: Simplify (+ 1 0) into 1 4.631 * [taylor]: Taking taylor expansion of 1 in y 4.631 * [backup-simplify]: Simplify 1 into 1 4.631 * [backup-simplify]: Simplify 1 into 1 4.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [taylor]: Taking taylor expansion of 0 in y 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.635 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.636 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.637 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.637 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 4.637 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.637 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.637 * [taylor]: Taking taylor expansion of 2 in y 4.637 * [backup-simplify]: Simplify 2 into 2 4.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.637 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.637 * [taylor]: Taking taylor expansion of y in y 4.637 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify 1 into 1 4.637 * [backup-simplify]: Simplify (* 1 1) into 1 4.637 * [backup-simplify]: Simplify (/ 1 1) into 1 4.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.640 * [backup-simplify]: Simplify (- 0) into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.642 * [backup-simplify]: Simplify (+ 0 0) into 0 4.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.645 * [backup-simplify]: Simplify (+ 0 0) into 0 4.645 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.645 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 4.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.646 * [backup-simplify]: Simplify (- 0) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.646 * [taylor]: Taking taylor expansion of 0 in y 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.646 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 4.646 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 4.646 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.646 * [taylor]: Taking taylor expansion of y in y 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.646 * [taylor]: Taking taylor expansion of x in y 4.646 * [backup-simplify]: Simplify x into x 4.646 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.646 * [taylor]: Taking taylor expansion of y in x 4.646 * [backup-simplify]: Simplify y into y 4.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.646 * [taylor]: Taking taylor expansion of x in x 4.646 * [backup-simplify]: Simplify 0 into 0 4.646 * [backup-simplify]: Simplify 1 into 1 4.646 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.646 * [taylor]: Taking taylor expansion of y in x 4.646 * [backup-simplify]: Simplify y into y 4.646 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.647 * [taylor]: Taking taylor expansion of x in x 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.647 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.647 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.647 * [taylor]: Taking taylor expansion of y in y 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.647 * [backup-simplify]: Simplify (+ 0 0) into 0 4.647 * [taylor]: Taking taylor expansion of 0 in y 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.648 * [backup-simplify]: Simplify (* 1 1) into 1 4.648 * [backup-simplify]: Simplify (+ 0 1) into 1 4.648 * [taylor]: Taking taylor expansion of 1 in y 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify 1 into 1 4.648 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (* 1 1) into 1 4.649 * [backup-simplify]: Simplify 1 into 1 4.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.650 * [taylor]: Taking taylor expansion of 0 in y 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.650 * [backup-simplify]: Simplify 0 into 0 4.651 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.652 * [backup-simplify]: Simplify (+ 0 0) into 0 4.652 * [taylor]: Taking taylor expansion of 0 in y 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.652 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.652 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.652 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.652 * [taylor]: Taking taylor expansion of y in y 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 1 into 1 4.652 * [backup-simplify]: Simplify (* 1 1) into 1 4.653 * [backup-simplify]: Simplify (/ 1 1) into 1 4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.653 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.653 * [taylor]: Taking taylor expansion of x in y 4.653 * [backup-simplify]: Simplify x into x 4.653 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.653 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.653 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.653 * [taylor]: Taking taylor expansion of y in x 4.653 * [backup-simplify]: Simplify y into y 4.653 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.653 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.653 * [taylor]: Taking taylor expansion of x in x 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify (* 1 1) into 1 4.654 * [backup-simplify]: Simplify (/ 1 1) into 1 4.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.654 * [taylor]: Taking taylor expansion of y in x 4.654 * [backup-simplify]: Simplify y into y 4.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.654 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.654 * [taylor]: Taking taylor expansion of x in x 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [backup-simplify]: Simplify (* 1 1) into 1 4.654 * [backup-simplify]: Simplify (/ 1 1) into 1 4.655 * [backup-simplify]: Simplify (+ 0 1) into 1 4.655 * [taylor]: Taking taylor expansion of 1 in y 4.655 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ 0 0) into 0 4.656 * [taylor]: Taking taylor expansion of 0 in y 4.656 * [backup-simplify]: Simplify 0 into 0 4.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.657 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.657 * [taylor]: Taking taylor expansion of y in y 4.657 * [backup-simplify]: Simplify 0 into 0 4.657 * [backup-simplify]: Simplify 1 into 1 4.657 * [backup-simplify]: Simplify (* 1 1) into 1 4.658 * [backup-simplify]: Simplify (/ 1 1) into 1 4.658 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify 1 into 1 4.658 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.659 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [taylor]: Taking taylor expansion of 0 in y 4.659 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.664 * [taylor]: Taking taylor expansion of 0 in y 4.664 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.666 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.666 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.666 * [taylor]: Taking taylor expansion of y in y 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (* 1 1) into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.667 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.667 * [taylor]: Taking taylor expansion of x in y 4.667 * [backup-simplify]: Simplify x into x 4.667 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.667 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.668 * [taylor]: Taking taylor expansion of y in x 4.668 * [backup-simplify]: Simplify y into y 4.668 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.668 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.668 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.668 * [taylor]: Taking taylor expansion of x in x 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (* 1 1) into 1 4.669 * [backup-simplify]: Simplify (/ 1 1) into 1 4.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.669 * [taylor]: Taking taylor expansion of y in x 4.669 * [backup-simplify]: Simplify y into y 4.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.669 * [taylor]: Taking taylor expansion of x in x 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [backup-simplify]: Simplify (* 1 1) into 1 4.670 * [backup-simplify]: Simplify (/ 1 1) into 1 4.670 * [backup-simplify]: Simplify (+ 0 1) into 1 4.670 * [taylor]: Taking taylor expansion of 1 in y 4.670 * [backup-simplify]: Simplify 1 into 1 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.672 * [taylor]: Taking taylor expansion of 0 in y 4.672 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.674 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.674 * [taylor]: Taking taylor expansion of y in y 4.674 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify 1 into 1 4.674 * [backup-simplify]: Simplify (* 1 1) into 1 4.675 * [backup-simplify]: Simplify (/ 1 1) into 1 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.677 * [backup-simplify]: Simplify (+ 0 0) into 0 4.677 * [taylor]: Taking taylor expansion of 0 in y 4.677 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [taylor]: Taking taylor expansion of 0 in y 4.682 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.685 * * * [progress]: simplifying candidates 4.685 * * * * [progress]: [ 1 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 2 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 3 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 4 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 5 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 6 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 7 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 8 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 9 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 10 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 11 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 12 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 13 / 91 ] simplifiying candidate # 4.685 * * * * [progress]: [ 14 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 15 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 16 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 17 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 18 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 19 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 20 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 21 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 22 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 23 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 24 / 91 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))))> 4.686 * * * * [progress]: [ 25 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 26 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 27 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 28 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 29 / 91 ] simplifiying candidate # 4.686 * * * * [progress]: [ 30 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 31 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 32 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 33 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 34 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 35 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 36 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 37 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 38 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 39 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 40 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 41 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 42 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 43 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 44 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 45 / 91 ] simplifiying candidate # 4.687 * * * * [progress]: [ 46 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 47 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 48 / 91 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* y y) (* x x)))))> 4.688 * * * * [progress]: [ 49 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 50 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 51 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 52 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 53 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 54 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 55 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 56 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 57 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 58 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 59 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 60 / 91 ] simplifiying candidate # 4.688 * * * * [progress]: [ 61 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 62 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 63 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 64 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 65 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 66 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 67 / 91 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))))> 4.689 * * * * [progress]: [ 68 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 69 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 70 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 71 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 72 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 73 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 74 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 75 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 76 / 91 ] simplifiying candidate # 4.689 * * * * [progress]: [ 77 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 78 / 91 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y))))) (/ (* y y) (+ (* y y) (* x x)))))> 4.690 * * * * [progress]: [ 79 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 80 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 81 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 82 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 83 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 84 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 85 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 86 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 87 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 88 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 89 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 90 / 91 ] simplifiying candidate # 4.690 * * * * [progress]: [ 91 / 91 ] simplifiying candidate # 4.692 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* y y) (* x x)))) (- (log (* y y)) (log (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))) (/ (* (* (* y y) y) (* (* y y) y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))) (/ (* (* (* y y) (* y y)) (* y y)) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (- (* y y)) (- (+ (* y y) (* x x))) (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y 1) (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (/ (* y y) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (/ (* y y) 1) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (pow (* y y) 3) (pow (* x x) 3))) (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (- (+ (log x) (log x)) (log (+ (* x x) (* y y)))) (- (log (* x x)) (log (+ (* x x) (* y y)))) (log (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* x x) (+ (* x x) (* y y)))) (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* x x) (+ (* x x) (* y y)))) (cbrt (/ (* x x) (+ (* x x) (* y y))))) (cbrt (/ (* x x) (+ (* x x) (* y y)))) (* (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* x x) (+ (* x x) (* y y)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ x (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ x (cbrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x (sqrt (+ (* x x) (* y y)))) (/ x 1) (/ x (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* x x)) (/ (* x x) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* x x) (sqrt (+ (* x x) (* y y)))) (/ (* x x) 1) (/ (+ (* x x) (* y y)) x) (/ (* x x) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (real->posit16 (/ (* x x) (+ (* x x) (* y y)))) (/ (exp (/ (* x x) (+ (* x x) (* y y)))) (exp (/ (* y y) (+ (* y y) (* x x))))) (log (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (exp (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))) (cbrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (* (* (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (- (* (* x x) (+ (* y y) (* x x))) (* (+ (* x x) (* y y)) (* y y))) (* (+ (* x x) (* y y)) (+ (* y y) (* x x))) (- (pow (/ (* x x) (+ (* x x) (* y y))) 3) (pow (/ (* y y) (+ (* y y) (* x x))) 3)) (+ (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (+ (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))) (- (/ (* y y) (+ (* y y) (* x x)))) (- (* (/ (* x x) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (+ (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* y y) (+ (* y y) (* x x)))) (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x))))) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) 0 0 0 0 0 0 -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 4.694 * * [simplify]: iteration 0: 142 enodes 4.741 * * [simplify]: iteration 1: 467 enodes 4.915 * * [simplify]: iteration 2: 2000 enodes 5.419 * * [simplify]: iteration complete: 2000 enodes 5.419 * * [simplify]: Extracting #0: cost 82 inf + 0 5.420 * * [simplify]: Extracting #1: cost 357 inf + 127 5.424 * * [simplify]: Extracting #2: cost 776 inf + 15826 5.441 * * [simplify]: Extracting #3: cost 246 inf + 108377 5.476 * * [simplify]: Extracting #4: cost 35 inf + 149087 5.511 * * [simplify]: Extracting #5: cost 7 inf + 155907 5.549 * * [simplify]: Extracting #6: cost 0 inf + 157958 5.579 * [simplify]: Simplified to: (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* y y) (+ (* y y) (* x x)))) (exp (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (/ (* y y) (+ (* y y) (* x x)))) (cbrt (/ (* y y) (+ (* y y) (* x x))))) (cbrt (/ (* y y) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x)))) (* y (- y)) (- (+ (* y y) (* x x))) (/ y (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x))))) (/ y (cbrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x)))) y (/ y (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* y y)) (* (/ y (cbrt (+ (* y y) (* x x)))) (/ y (cbrt (+ (* y y) (* x x))))) (/ (* y y) (sqrt (+ (* y y) (* x x)))) (* y y) (/ (+ (* y y) (* x x)) y) (/ (* y y) (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y)))) (/ (* y y) (- (* (* y y) (* y y)) (* (* x x) (* x x)))) (real->posit16 (/ (* y y) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (log (/ (* x x) (+ (* y y) (* x x)))) (exp (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (cbrt (/ (* x x) (+ (* y y) (* x x)))) (cbrt (/ (* x x) (+ (* y y) (* x x))))) (cbrt (/ (* x x) (+ (* y y) (* x x)))) (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x)))) (- (* x x)) (- (+ (* x x) (* y y))) (/ (/ x (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x)))) x (/ x (+ (* y y) (* x x))) (/ 1 (+ (* y y) (* x x))) (/ (+ (* y y) (* x x)) (* x x)) (* (/ x (cbrt (+ (* y y) (* x x)))) (/ x (cbrt (+ (* y y) (* x x))))) (/ (* x x) (sqrt (+ (* y y) (* x x)))) (* x x) (/ (+ (* y y) (* x x)) x) (/ (* x x) (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y)))) (/ (* x x) (* (+ (* y y) (* x x)) (- (* x x) (* y y)))) (real->posit16 (/ (* x x) (+ (* y y) (* x x)))) (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (log (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (cbrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (* (* (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (sqrt (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (- (* (* x x) (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* y y))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (- (* (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (+ (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))))) (- (/ (* y y) (+ (* y y) (* x x)))) (- (* (/ (* x x) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (* (/ (* y y) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (+ (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (+ (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ y (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* x x) (+ (* y y) (* x x))))) (- (sqrt (/ (* x x) (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (+ (sqrt (/ (* y y) (+ (* y y) (* x x)))) (/ x (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (sqrt (/ (* y y) (+ (* y y) (* x x))))) (+ (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ x (sqrt (+ (* y y) (* x x)))) (/ y (sqrt (+ (* y y) (* x x))))) (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x)))) (- (/ (* y y) (+ (* y y) (* x x)))) (real->posit16 (- (/ (* x x) (+ (* y y) (* x x))) (/ (* y y) (+ (* y y) (* x x))))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* y y) (* x x))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* y y) y) (* (* y y) y))) (+ (* (* x x) (* x x)) (* (* y y) (- (* y y) (* x x)))) (* (+ (* y y) (* x x)) (- (* x x) (* y y))) (- (* x x) (* y y)) (real->posit16 (+ (* y y) (* x x))) 0 0 0 0 0 0 -1 1 1 (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) 5.585 * * * [progress]: adding candidates to table 6.378 * * [progress]: iteration 3 / 4 6.379 * * * [progress]: picking best candidate 6.384 * * * * [pick]: Picked # 6.384 * * * [progress]: localizing error 6.385 * * * [progress]: generating rewritten candidates 6.385 * * * [progress]: generating series expansions 6.385 * * * [progress]: simplifying candidates 6.385 * [simplify]: Simplifying: 6.385 * * [simplify]: iteration 0: 0 enodes 6.386 * * [simplify]: iteration complete: 0 enodes 6.386 * * [simplify]: Extracting #0: cost 0 inf + 0 6.386 * [simplify]: Simplified to: 6.386 * * * [progress]: adding candidates to table 6.386 * * [progress]: iteration 4 / 4 6.386 * * * [progress]: picking best candidate 6.388 * * * * [pick]: Picked # 6.388 * * * [progress]: localizing error 6.389 * * * [progress]: generating rewritten candidates 6.389 * * * [progress]: generating series expansions 6.389 * * * [progress]: simplifying candidates 6.389 * [simplify]: Simplifying: 6.389 * * [simplify]: iteration 0: 0 enodes 6.389 * * [simplify]: iteration complete: 0 enodes 6.389 * * [simplify]: Extracting #0: cost 0 inf + 0 6.389 * [simplify]: Simplified to: 6.389 * * * [progress]: adding candidates to table 6.389 * [progress]: [Phase 3 of 3] Extracting. 6.389 * * [regime]: Finding splitpoints for: (# # #) 6.389 * * * [regime-changes]: Trying 2 branch expressions: (y x) 6.390 * * * * [regimes]: Trying to branch on y from (# # #) 6.433 * * * * [regimes]: Trying to branch on x from (# # #) 6.486 * * * [regime]: Found split indices: #