35.225 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.060 * * * [progress]: [2/2] Setting up program. 0.065 * [progress]: [Phase 2 of 3] Improving. 0.065 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.065 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.066 * * [simplify]: iteration 1: (9 enodes) 0.069 * * [simplify]: iteration 2: (22 enodes) 0.077 * * [simplify]: iteration 3: (46 enodes) 0.093 * * [simplify]: iteration 4: (95 enodes) 0.119 * * [simplify]: iteration 5: (177 enodes) 0.173 * * [simplify]: iteration 6: (339 enodes) 0.275 * * [simplify]: iteration 7: (573 enodes) 0.566 * * [simplify]: iteration 8: (1046 enodes) 3.601 * * [simplify]: Extracting #0: cost 1 inf + 0 3.601 * * [simplify]: Extracting #1: cost 76 inf + 0 3.603 * * [simplify]: Extracting #2: cost 285 inf + 1 3.608 * * [simplify]: Extracting #3: cost 458 inf + 2419 3.625 * * [simplify]: Extracting #4: cost 176 inf + 46844 3.669 * * [simplify]: Extracting #5: cost 14 inf + 89090 3.724 * * [simplify]: Extracting #6: cost 0 inf + 93639 3.755 * [simplify]: Simplified to: (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) 3.760 * * [progress]: iteration 1 / 4 3.760 * * * [progress]: picking best candidate 3.762 * * * * [pick]: Picked # 3.762 * * * [progress]: localizing error 3.781 * * * [progress]: generating rewritten candidates 3.781 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.818 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.848 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.960 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.975 * * * [progress]: generating series expansions 3.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.975 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 3.975 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 3.975 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 3.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.975 * [taylor]: Taking taylor expansion of y in x 3.975 * [backup-simplify]: Simplify y into y 3.976 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 3.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.976 * [taylor]: Taking taylor expansion of y in x 3.976 * [backup-simplify]: Simplify y into y 3.976 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.976 * [taylor]: Taking taylor expansion of x in x 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.976 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 3.976 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 3.976 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 3.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.976 * [taylor]: Taking taylor expansion of y in y 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.977 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.977 * [taylor]: Taking taylor expansion of y in y 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.977 * [taylor]: Taking taylor expansion of x in y 3.977 * [backup-simplify]: Simplify x into x 3.978 * [backup-simplify]: Simplify (* 1 1) into 1 3.978 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.978 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.978 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.978 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 3.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.978 * [taylor]: Taking taylor expansion of y in y 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 3.978 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.978 * [taylor]: Taking taylor expansion of y in y 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.978 * [taylor]: Taking taylor expansion of x in y 3.978 * [backup-simplify]: Simplify x into x 3.979 * [backup-simplify]: Simplify (* 1 1) into 1 3.979 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.979 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 3.979 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.979 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.979 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.979 * [taylor]: Taking taylor expansion of x in x 3.979 * [backup-simplify]: Simplify 0 into 0 3.979 * [backup-simplify]: Simplify 1 into 1 3.980 * [backup-simplify]: Simplify (* 1 1) into 1 3.980 * [backup-simplify]: Simplify (/ 1 1) into 1 3.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.985 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.985 * [backup-simplify]: Simplify (+ 0 0) into 0 3.985 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 3.985 * [taylor]: Taking taylor expansion of 0 in x 3.985 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify 0 into 0 3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.986 * [backup-simplify]: Simplify 0 into 0 3.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.987 * [backup-simplify]: Simplify (* 1 1) into 1 3.987 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 3.988 * [backup-simplify]: Simplify (+ 1 0) into 1 3.988 * [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))) 3.988 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 3.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 3.988 * [taylor]: Taking taylor expansion of (pow x 4) in x 3.988 * [taylor]: Taking taylor expansion of x in x 3.988 * [backup-simplify]: Simplify 0 into 0 3.988 * [backup-simplify]: Simplify 1 into 1 3.988 * [backup-simplify]: Simplify (* 1 1) into 1 3.988 * [backup-simplify]: Simplify (* 1 1) into 1 3.989 * [backup-simplify]: Simplify (/ 1 1) into 1 3.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.995 * [backup-simplify]: Simplify (- 0) into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.995 * [backup-simplify]: Simplify 0 into 0 3.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [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))))) 3.997 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 3.997 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 3.997 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 3.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.997 * [taylor]: Taking taylor expansion of y in x 3.997 * [backup-simplify]: Simplify y into y 3.997 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 3.997 * [taylor]: Taking taylor expansion of (pow y 2) in x 3.997 * [taylor]: Taking taylor expansion of y in x 3.997 * [backup-simplify]: Simplify y into y 3.997 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.997 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.997 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.997 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.997 * [taylor]: Taking taylor expansion of x in x 3.997 * [backup-simplify]: Simplify 0 into 0 3.997 * [backup-simplify]: Simplify 1 into 1 3.998 * [backup-simplify]: Simplify (* 1 1) into 1 3.998 * [backup-simplify]: Simplify (/ 1 1) into 1 3.998 * [backup-simplify]: Simplify (* y y) into (pow y 2) 3.998 * [backup-simplify]: Simplify (+ 0 1) into 1 3.998 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 3.998 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 3.998 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 3.998 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 3.998 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.998 * [taylor]: Taking taylor expansion of y in y 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 3.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.999 * [taylor]: Taking taylor expansion of y in y 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [backup-simplify]: Simplify (* 1 1) into 1 3.999 * [backup-simplify]: Simplify (/ 1 1) into 1 3.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.999 * [taylor]: Taking taylor expansion of x in y 3.999 * [backup-simplify]: Simplify x into x 3.999 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.999 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.000 * [backup-simplify]: Simplify (* 1 1) into 1 4.000 * [backup-simplify]: Simplify (+ 1 0) into 1 4.000 * [backup-simplify]: Simplify (* 1 1) into 1 4.001 * [backup-simplify]: Simplify (/ 1 1) into 1 4.001 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.001 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.001 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.001 * [taylor]: Taking taylor expansion of y in y 4.001 * [backup-simplify]: Simplify 0 into 0 4.001 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (/ 1 1) into 1 4.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.002 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.002 * [taylor]: Taking taylor expansion of x in y 4.002 * [backup-simplify]: Simplify x into x 4.002 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.002 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.002 * [backup-simplify]: Simplify (+ 1 0) into 1 4.002 * [backup-simplify]: Simplify (* 1 1) into 1 4.003 * [backup-simplify]: Simplify (/ 1 1) into 1 4.003 * [taylor]: Taking taylor expansion of 1 in x 4.003 * [backup-simplify]: Simplify 1 into 1 4.003 * [backup-simplify]: Simplify 0 into 0 4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.004 * [backup-simplify]: Simplify (+ 0 0) into 0 4.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.005 * [taylor]: Taking taylor expansion of 0 in x 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 0 into 0 4.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.006 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.007 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.008 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.008 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.008 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.008 * [taylor]: Taking taylor expansion of x in x 4.008 * [backup-simplify]: Simplify 0 into 0 4.008 * [backup-simplify]: Simplify 1 into 1 4.008 * [backup-simplify]: Simplify (* 1 1) into 1 4.008 * [backup-simplify]: Simplify (/ 1 1) into 1 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.013 * [backup-simplify]: Simplify (- 0) into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.013 * [backup-simplify]: Simplify 0 into 0 4.014 * [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))))) 4.014 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 4.014 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.014 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.014 * [taylor]: Taking taylor expansion of y in x 4.014 * [backup-simplify]: Simplify y into y 4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.014 * [taylor]: Taking taylor expansion of y in x 4.014 * [backup-simplify]: Simplify y into y 4.014 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.014 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.014 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.014 * [taylor]: Taking taylor expansion of x in x 4.014 * [backup-simplify]: Simplify 0 into 0 4.014 * [backup-simplify]: Simplify 1 into 1 4.015 * [backup-simplify]: Simplify (* 1 1) into 1 4.015 * [backup-simplify]: Simplify (/ 1 1) into 1 4.015 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.016 * [backup-simplify]: Simplify (+ 0 1) into 1 4.016 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.016 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.016 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.016 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.016 * [taylor]: Taking taylor expansion of y in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.016 * [taylor]: Taking taylor expansion of y in y 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (* 1 1) into 1 4.017 * [backup-simplify]: Simplify (/ 1 1) into 1 4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.017 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.017 * [taylor]: Taking taylor expansion of x in y 4.017 * [backup-simplify]: Simplify x into x 4.017 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.017 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.018 * [backup-simplify]: Simplify (* 1 1) into 1 4.018 * [backup-simplify]: Simplify (+ 1 0) into 1 4.019 * [backup-simplify]: Simplify (* 1 1) into 1 4.019 * [backup-simplify]: Simplify (/ 1 1) into 1 4.019 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.019 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.019 * [taylor]: Taking taylor expansion of y in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.019 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.019 * [taylor]: Taking taylor expansion of y in y 4.019 * [backup-simplify]: Simplify 0 into 0 4.019 * [backup-simplify]: Simplify 1 into 1 4.020 * [backup-simplify]: Simplify (* 1 1) into 1 4.020 * [backup-simplify]: Simplify (/ 1 1) into 1 4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.020 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.020 * [taylor]: Taking taylor expansion of x in y 4.020 * [backup-simplify]: Simplify x into x 4.020 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.021 * [backup-simplify]: Simplify (* 1 1) into 1 4.021 * [backup-simplify]: Simplify (+ 1 0) into 1 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.022 * [backup-simplify]: Simplify (/ 1 1) into 1 4.022 * [taylor]: Taking taylor expansion of 1 in x 4.022 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify 0 into 0 4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.024 * [backup-simplify]: Simplify (+ 0 0) into 0 4.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.027 * [taylor]: Taking taylor expansion of 0 in x 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 4.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 4.030 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 4.030 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.030 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.030 * [taylor]: Taking taylor expansion of x in x 4.030 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (* 1 1) into 1 4.031 * [backup-simplify]: Simplify (/ 1 1) into 1 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.032 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.036 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 4.036 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 4.036 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 4.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.036 * [taylor]: Taking taylor expansion of x in y 4.036 * [backup-simplify]: Simplify x into x 4.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.036 * [taylor]: Taking taylor expansion of y in y 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.036 * [taylor]: Taking taylor expansion of x in y 4.036 * [backup-simplify]: Simplify x into x 4.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.036 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.036 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.036 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.036 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.036 * [taylor]: Taking taylor expansion of x in x 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.036 * [taylor]: Taking taylor expansion of y in x 4.036 * [backup-simplify]: Simplify y into y 4.036 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.036 * [taylor]: Taking taylor expansion of x in x 4.036 * [backup-simplify]: Simplify 0 into 0 4.036 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* 1 1) into 1 4.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.037 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.037 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.037 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.037 * [taylor]: Taking taylor expansion of y in x 4.037 * [backup-simplify]: Simplify y into y 4.037 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.037 * [taylor]: Taking taylor expansion of x in x 4.037 * [backup-simplify]: Simplify 0 into 0 4.037 * [backup-simplify]: Simplify 1 into 1 4.037 * [backup-simplify]: Simplify (* 1 1) into 1 4.037 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.037 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.038 * [taylor]: Taking taylor expansion of y in y 4.038 * [backup-simplify]: Simplify 0 into 0 4.038 * [backup-simplify]: Simplify 1 into 1 4.038 * [backup-simplify]: Simplify (* 1 1) into 1 4.038 * [backup-simplify]: Simplify (/ 1 1) into 1 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.040 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.040 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.041 * [backup-simplify]: Simplify (+ 0 0) into 0 4.041 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.041 * [taylor]: Taking taylor expansion of 0 in y 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify 0 into 0 4.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.043 * [backup-simplify]: Simplify (* 1 1) into 1 4.043 * [backup-simplify]: Simplify (+ 0 1) into 1 4.043 * [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))) 4.044 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 4.044 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 4.044 * [taylor]: Taking taylor expansion of (pow y 4) in y 4.044 * [taylor]: Taking taylor expansion of y in y 4.044 * [backup-simplify]: Simplify 0 into 0 4.044 * [backup-simplify]: Simplify 1 into 1 4.044 * [backup-simplify]: Simplify (* 1 1) into 1 4.044 * [backup-simplify]: Simplify (* 1 1) into 1 4.044 * [backup-simplify]: Simplify (/ 1 1) into 1 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.053 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [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))))) 4.054 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.054 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.054 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.054 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.054 * [taylor]: Taking taylor expansion of x in y 4.054 * [backup-simplify]: Simplify x into x 4.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.054 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.054 * [taylor]: Taking taylor expansion of y in y 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.055 * [backup-simplify]: Simplify (* 1 1) into 1 4.055 * [backup-simplify]: Simplify (/ 1 1) into 1 4.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.055 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.055 * [taylor]: Taking taylor expansion of x in y 4.055 * [backup-simplify]: Simplify x into x 4.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.055 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.055 * [backup-simplify]: Simplify (+ 1 0) into 1 4.055 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.055 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.056 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.056 * [taylor]: Taking taylor expansion of x in x 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.056 * [taylor]: Taking taylor expansion of y in x 4.056 * [backup-simplify]: Simplify y into y 4.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.056 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.056 * [taylor]: Taking taylor expansion of x in x 4.056 * [backup-simplify]: Simplify 0 into 0 4.056 * [backup-simplify]: Simplify 1 into 1 4.056 * [backup-simplify]: Simplify (* 1 1) into 1 4.056 * [backup-simplify]: Simplify (/ 1 1) into 1 4.057 * [backup-simplify]: Simplify (* 1 1) into 1 4.057 * [backup-simplify]: Simplify (+ 0 1) into 1 4.058 * [backup-simplify]: Simplify (* 1 1) into 1 4.058 * [backup-simplify]: Simplify (/ 1 1) into 1 4.058 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.058 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.058 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.058 * [taylor]: Taking taylor expansion of y in x 4.058 * [backup-simplify]: Simplify y into y 4.058 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.058 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.058 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.058 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.058 * [taylor]: Taking taylor expansion of x in x 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify 1 into 1 4.059 * [backup-simplify]: Simplify (* 1 1) into 1 4.059 * [backup-simplify]: Simplify (/ 1 1) into 1 4.060 * [backup-simplify]: Simplify (* 1 1) into 1 4.060 * [backup-simplify]: Simplify (+ 0 1) into 1 4.060 * [backup-simplify]: Simplify (* 1 1) into 1 4.061 * [backup-simplify]: Simplify (/ 1 1) into 1 4.061 * [taylor]: Taking taylor expansion of 1 in y 4.061 * [backup-simplify]: Simplify 1 into 1 4.061 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.063 * [backup-simplify]: Simplify (+ 0 0) into 0 4.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.065 * [taylor]: Taking taylor expansion of 0 in y 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.067 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.068 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.069 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.069 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.069 * [taylor]: Taking taylor expansion of y in y 4.069 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (* 1 1) into 1 4.070 * [backup-simplify]: Simplify (/ 1 1) into 1 4.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.078 * [backup-simplify]: Simplify (- 0) into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [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))))) 4.078 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 4.078 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.078 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.078 * [taylor]: Taking taylor expansion of x in y 4.078 * [backup-simplify]: Simplify x into x 4.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.078 * [taylor]: Taking taylor expansion of y in y 4.078 * [backup-simplify]: Simplify 0 into 0 4.078 * [backup-simplify]: Simplify 1 into 1 4.079 * [backup-simplify]: Simplify (* 1 1) into 1 4.079 * [backup-simplify]: Simplify (/ 1 1) into 1 4.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.079 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.079 * [taylor]: Taking taylor expansion of x in y 4.079 * [backup-simplify]: Simplify x into x 4.079 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.079 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.080 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.080 * [backup-simplify]: Simplify (+ 1 0) into 1 4.080 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.080 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.080 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.080 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.080 * [taylor]: Taking taylor expansion of x in x 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.080 * [taylor]: Taking taylor expansion of y in x 4.080 * [backup-simplify]: Simplify y into y 4.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.081 * [taylor]: Taking taylor expansion of x in x 4.081 * [backup-simplify]: Simplify 0 into 0 4.081 * [backup-simplify]: Simplify 1 into 1 4.081 * [backup-simplify]: Simplify (* 1 1) into 1 4.081 * [backup-simplify]: Simplify (/ 1 1) into 1 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.082 * [backup-simplify]: Simplify (+ 0 1) into 1 4.082 * [backup-simplify]: Simplify (* 1 1) into 1 4.083 * [backup-simplify]: Simplify (/ 1 1) into 1 4.083 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.083 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.083 * [taylor]: Taking taylor expansion of y in x 4.083 * [backup-simplify]: Simplify y into y 4.083 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.083 * [taylor]: Taking taylor expansion of x in x 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.084 * [backup-simplify]: Simplify (* 1 1) into 1 4.085 * [backup-simplify]: Simplify (+ 0 1) into 1 4.085 * [backup-simplify]: Simplify (* 1 1) into 1 4.086 * [backup-simplify]: Simplify (/ 1 1) into 1 4.086 * [taylor]: Taking taylor expansion of 1 in y 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [backup-simplify]: Simplify 0 into 0 4.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.088 * [backup-simplify]: Simplify (+ 0 0) into 0 4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.090 * [taylor]: Taking taylor expansion of 0 in y 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.092 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.093 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.094 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 4.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.094 * [taylor]: Taking taylor expansion of y in y 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.094 * [backup-simplify]: Simplify (* 1 1) into 1 4.094 * [backup-simplify]: Simplify (/ 1 1) into 1 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.099 * [backup-simplify]: Simplify (- 0) into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.099 * [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)))) 4.099 * [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 4.099 * [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 4.099 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 4.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.099 * [taylor]: Taking taylor expansion of x in y 4.099 * [backup-simplify]: Simplify x into x 4.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.099 * [taylor]: Taking taylor expansion of y in y 4.099 * [backup-simplify]: Simplify 0 into 0 4.099 * [backup-simplify]: Simplify 1 into 1 4.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.099 * [taylor]: Taking taylor expansion of x in y 4.099 * [backup-simplify]: Simplify x into x 4.099 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.100 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.100 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 4.100 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 4.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.100 * [taylor]: Taking taylor expansion of y in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.100 * [taylor]: Taking taylor expansion of y in y 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.100 * [taylor]: Taking taylor expansion of x in y 4.100 * [backup-simplify]: Simplify x into x 4.100 * [backup-simplify]: Simplify (* 1 1) into 1 4.100 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.100 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 4.100 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.100 * [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 4.100 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.100 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.100 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.100 * [taylor]: Taking taylor expansion of y in x 4.100 * [backup-simplify]: Simplify y into y 4.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.100 * [taylor]: Taking taylor expansion of x in x 4.100 * [backup-simplify]: Simplify 0 into 0 4.100 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (* 1 1) into 1 4.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.101 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.101 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.101 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 4.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.101 * [taylor]: Taking taylor expansion of y in x 4.101 * [backup-simplify]: Simplify y into y 4.101 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.101 * [taylor]: Taking taylor expansion of y in x 4.101 * [backup-simplify]: Simplify y into y 4.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.101 * [taylor]: Taking taylor expansion of x in x 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.101 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.101 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.101 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 4.101 * [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 4.101 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 4.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.101 * [taylor]: Taking taylor expansion of x in x 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.101 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.101 * [taylor]: Taking taylor expansion of y in x 4.101 * [backup-simplify]: Simplify y into y 4.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.101 * [taylor]: Taking taylor expansion of x in x 4.101 * [backup-simplify]: Simplify 0 into 0 4.101 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (* 1 1) into 1 4.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.102 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.102 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 4.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.102 * [taylor]: Taking taylor expansion of y in x 4.102 * [backup-simplify]: Simplify y into y 4.102 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.102 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.102 * [taylor]: Taking taylor expansion of y in x 4.102 * [backup-simplify]: Simplify y into y 4.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.102 * [taylor]: Taking taylor expansion of x in x 4.102 * [backup-simplify]: Simplify 0 into 0 4.102 * [backup-simplify]: Simplify 1 into 1 4.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.102 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.102 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.102 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 4.103 * [backup-simplify]: Simplify (- 1) into -1 4.103 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.103 * [taylor]: Taking taylor expansion of -1 in y 4.103 * [backup-simplify]: Simplify -1 into -1 4.103 * [backup-simplify]: Simplify -1 into -1 4.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.103 * [backup-simplify]: Simplify (+ 0 0) into 0 4.103 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 4.104 * [backup-simplify]: Simplify (- 0) into 0 4.104 * [backup-simplify]: Simplify (+ 0 0) into 0 4.104 * [taylor]: Taking taylor expansion of 0 in y 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.104 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.104 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.105 * [backup-simplify]: Simplify (* 1 1) into 1 4.105 * [backup-simplify]: Simplify (+ 0 1) into 1 4.105 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 4.105 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 4.105 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 4.105 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.105 * [taylor]: Taking taylor expansion of 2 in y 4.105 * [backup-simplify]: Simplify 2 into 2 4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.105 * [taylor]: Taking taylor expansion of y in y 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 1 into 1 4.106 * [backup-simplify]: Simplify (* 1 1) into 1 4.106 * [backup-simplify]: Simplify (/ 1 1) into 1 4.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.108 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.109 * [backup-simplify]: Simplify (+ 0 0) into 0 4.109 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.111 * [backup-simplify]: Simplify (+ 0 0) into 0 4.111 * [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 4.111 * [backup-simplify]: Simplify (- 0) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.112 * [taylor]: Taking taylor expansion of 0 in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify -1 into -1 4.112 * [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)))))) 4.112 * [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 4.112 * [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 4.112 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.112 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.112 * [taylor]: Taking taylor expansion of x in y 4.112 * [backup-simplify]: Simplify x into x 4.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.112 * [taylor]: Taking taylor expansion of y in y 4.112 * [backup-simplify]: Simplify 0 into 0 4.112 * [backup-simplify]: Simplify 1 into 1 4.113 * [backup-simplify]: Simplify (* 1 1) into 1 4.113 * [backup-simplify]: Simplify (/ 1 1) into 1 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.113 * [taylor]: Taking taylor expansion of x in y 4.113 * [backup-simplify]: Simplify x into x 4.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.113 * [backup-simplify]: Simplify (+ 1 0) into 1 4.113 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.113 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.113 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.113 * [taylor]: Taking taylor expansion of y in y 4.113 * [backup-simplify]: Simplify 0 into 0 4.113 * [backup-simplify]: Simplify 1 into 1 4.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.114 * [taylor]: Taking taylor expansion of y in y 4.114 * [backup-simplify]: Simplify 0 into 0 4.114 * [backup-simplify]: Simplify 1 into 1 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.114 * [backup-simplify]: Simplify (/ 1 1) into 1 4.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.114 * [taylor]: Taking taylor expansion of x in y 4.114 * [backup-simplify]: Simplify x into x 4.114 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.114 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.114 * [backup-simplify]: Simplify (* 1 1) into 1 4.115 * [backup-simplify]: Simplify (+ 1 0) into 1 4.115 * [backup-simplify]: Simplify (* 1 1) into 1 4.115 * [backup-simplify]: Simplify (/ 1 1) into 1 4.115 * [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 4.115 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.115 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.115 * [taylor]: Taking taylor expansion of x in x 4.115 * [backup-simplify]: Simplify 0 into 0 4.115 * [backup-simplify]: Simplify 1 into 1 4.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.115 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.115 * [taylor]: Taking taylor expansion of y in x 4.115 * [backup-simplify]: Simplify y into y 4.115 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.115 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.116 * [taylor]: Taking taylor expansion of x in x 4.116 * [backup-simplify]: Simplify 0 into 0 4.116 * [backup-simplify]: Simplify 1 into 1 4.116 * [backup-simplify]: Simplify (* 1 1) into 1 4.116 * [backup-simplify]: Simplify (/ 1 1) into 1 4.116 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (+ 0 1) into 1 4.117 * [backup-simplify]: Simplify (* 1 1) into 1 4.117 * [backup-simplify]: Simplify (/ 1 1) into 1 4.117 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.117 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.117 * [taylor]: Taking taylor expansion of y in x 4.117 * [backup-simplify]: Simplify y into y 4.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.117 * [taylor]: Taking taylor expansion of y in x 4.117 * [backup-simplify]: Simplify y into y 4.117 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.117 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.117 * [taylor]: Taking taylor expansion of x in x 4.117 * [backup-simplify]: Simplify 0 into 0 4.117 * [backup-simplify]: Simplify 1 into 1 4.118 * [backup-simplify]: Simplify (* 1 1) into 1 4.118 * [backup-simplify]: Simplify (/ 1 1) into 1 4.118 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.118 * [backup-simplify]: Simplify (+ 0 1) into 1 4.118 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.118 * [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 4.118 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.118 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.119 * [taylor]: Taking taylor expansion of x in x 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.119 * [taylor]: Taking taylor expansion of y in x 4.119 * [backup-simplify]: Simplify y into y 4.119 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.119 * [taylor]: Taking taylor expansion of x in x 4.119 * [backup-simplify]: Simplify 0 into 0 4.119 * [backup-simplify]: Simplify 1 into 1 4.119 * [backup-simplify]: Simplify (* 1 1) into 1 4.119 * [backup-simplify]: Simplify (/ 1 1) into 1 4.120 * [backup-simplify]: Simplify (* 1 1) into 1 4.120 * [backup-simplify]: Simplify (+ 0 1) into 1 4.120 * [backup-simplify]: Simplify (* 1 1) into 1 4.120 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.121 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.121 * [taylor]: Taking taylor expansion of y in x 4.121 * [backup-simplify]: Simplify y into y 4.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.121 * [taylor]: Taking taylor expansion of y in x 4.121 * [backup-simplify]: Simplify y into y 4.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.121 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.121 * [taylor]: Taking taylor expansion of x in x 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [backup-simplify]: Simplify (* 1 1) into 1 4.121 * [backup-simplify]: Simplify (/ 1 1) into 1 4.121 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.122 * [backup-simplify]: Simplify (+ 0 1) into 1 4.122 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.122 * [backup-simplify]: Simplify (+ 1 0) into 1 4.122 * [taylor]: Taking taylor expansion of 1 in y 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify 1 into 1 4.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.123 * [backup-simplify]: Simplify (+ 0 0) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.125 * [backup-simplify]: Simplify (+ 0 0) into 0 4.125 * [taylor]: Taking taylor expansion of 0 in y 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.126 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.127 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.128 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.128 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 4.128 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.128 * [taylor]: Taking taylor expansion of 2 in y 4.128 * [backup-simplify]: Simplify 2 into 2 4.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.128 * [taylor]: Taking taylor expansion of y in y 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.128 * [backup-simplify]: Simplify (* 1 1) into 1 4.128 * [backup-simplify]: Simplify (/ 1 1) into 1 4.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.133 * [backup-simplify]: Simplify (- 0) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.135 * [backup-simplify]: Simplify (+ 0 0) into 0 4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.141 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 4.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.142 * [backup-simplify]: Simplify (- 0) into 0 4.142 * [backup-simplify]: Simplify (+ 0 0) into 0 4.142 * [taylor]: Taking taylor expansion of 0 in y 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.143 * [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)))))) 4.143 * [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 4.143 * [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 4.143 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.144 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.144 * [taylor]: Taking taylor expansion of x in y 4.144 * [backup-simplify]: Simplify x into x 4.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.144 * [taylor]: Taking taylor expansion of y in y 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (* 1 1) into 1 4.145 * [backup-simplify]: Simplify (/ 1 1) into 1 4.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.145 * [taylor]: Taking taylor expansion of x in y 4.145 * [backup-simplify]: Simplify x into x 4.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.145 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.146 * [backup-simplify]: Simplify (+ 1 0) into 1 4.146 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 4.146 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.146 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 4.146 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 4.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.146 * [taylor]: Taking taylor expansion of y in y 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.146 * [taylor]: Taking taylor expansion of y in y 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (* 1 1) into 1 4.147 * [backup-simplify]: Simplify (/ 1 1) into 1 4.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.147 * [taylor]: Taking taylor expansion of x in y 4.147 * [backup-simplify]: Simplify x into x 4.147 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.147 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.148 * [backup-simplify]: Simplify (* 1 1) into 1 4.148 * [backup-simplify]: Simplify (+ 1 0) into 1 4.149 * [backup-simplify]: Simplify (* 1 1) into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [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 4.149 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.149 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.149 * [taylor]: Taking taylor expansion of x in x 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.149 * [taylor]: Taking taylor expansion of y in x 4.149 * [backup-simplify]: Simplify y into y 4.149 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.150 * [taylor]: Taking taylor expansion of x in x 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.150 * [backup-simplify]: Simplify (* 1 1) into 1 4.151 * [backup-simplify]: Simplify (/ 1 1) into 1 4.151 * [backup-simplify]: Simplify (* 1 1) into 1 4.152 * [backup-simplify]: Simplify (+ 0 1) into 1 4.152 * [backup-simplify]: Simplify (* 1 1) into 1 4.153 * [backup-simplify]: Simplify (/ 1 1) into 1 4.153 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.153 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.153 * [taylor]: Taking taylor expansion of y in x 4.153 * [backup-simplify]: Simplify y into y 4.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.153 * [taylor]: Taking taylor expansion of y in x 4.153 * [backup-simplify]: Simplify y into y 4.153 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.153 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.153 * [taylor]: Taking taylor expansion of x in x 4.153 * [backup-simplify]: Simplify 0 into 0 4.153 * [backup-simplify]: Simplify 1 into 1 4.154 * [backup-simplify]: Simplify (* 1 1) into 1 4.154 * [backup-simplify]: Simplify (/ 1 1) into 1 4.154 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.155 * [backup-simplify]: Simplify (+ 0 1) into 1 4.155 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.155 * [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 4.155 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.155 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.155 * [taylor]: Taking taylor expansion of x in x 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.155 * [taylor]: Taking taylor expansion of y in x 4.155 * [backup-simplify]: Simplify y into y 4.155 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.155 * [taylor]: Taking taylor expansion of x in x 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.156 * [backup-simplify]: Simplify (* 1 1) into 1 4.156 * [backup-simplify]: Simplify (/ 1 1) into 1 4.157 * [backup-simplify]: Simplify (* 1 1) into 1 4.157 * [backup-simplify]: Simplify (+ 0 1) into 1 4.158 * [backup-simplify]: Simplify (* 1 1) into 1 4.158 * [backup-simplify]: Simplify (/ 1 1) into 1 4.158 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 4.158 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 4.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.158 * [taylor]: Taking taylor expansion of y in x 4.158 * [backup-simplify]: Simplify y into y 4.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.158 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.158 * [taylor]: Taking taylor expansion of y in x 4.158 * [backup-simplify]: Simplify y into y 4.158 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.159 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.159 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.159 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.159 * [taylor]: Taking taylor expansion of x in x 4.159 * [backup-simplify]: Simplify 0 into 0 4.159 * [backup-simplify]: Simplify 1 into 1 4.159 * [backup-simplify]: Simplify (* 1 1) into 1 4.159 * [backup-simplify]: Simplify (/ 1 1) into 1 4.159 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.160 * [backup-simplify]: Simplify (+ 0 1) into 1 4.160 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 4.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.161 * [backup-simplify]: Simplify (+ 1 0) into 1 4.161 * [taylor]: Taking taylor expansion of 1 in y 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify 1 into 1 4.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.163 * [backup-simplify]: Simplify (+ 0 0) into 0 4.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.167 * [backup-simplify]: Simplify (+ 0 0) into 0 4.167 * [taylor]: Taking taylor expansion of 0 in y 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.167 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 4.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 4.172 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 4.173 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 4.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 4.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 4.173 * [taylor]: Taking taylor expansion of 2 in y 4.173 * [backup-simplify]: Simplify 2 into 2 4.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.173 * [taylor]: Taking taylor expansion of y in y 4.173 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify 1 into 1 4.173 * [backup-simplify]: Simplify (* 1 1) into 1 4.174 * [backup-simplify]: Simplify (/ 1 1) into 1 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 4.179 * [backup-simplify]: Simplify (- 0) into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify 0 into 0 4.179 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.182 * [backup-simplify]: Simplify (+ 0 0) into 0 4.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 4.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.188 * [backup-simplify]: Simplify (+ 0 0) into 0 4.188 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.189 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 4.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.190 * [backup-simplify]: Simplify (- 0) into 0 4.190 * [backup-simplify]: Simplify (+ 0 0) into 0 4.190 * [taylor]: Taking taylor expansion of 0 in y 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 0 into 0 4.190 * [backup-simplify]: Simplify 1 into 1 4.190 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.191 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 4.191 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 4.191 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 4.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.191 * [taylor]: Taking taylor expansion of y in y 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.191 * [taylor]: Taking taylor expansion of x in y 4.191 * [backup-simplify]: Simplify x into x 4.191 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.191 * [taylor]: Taking taylor expansion of x in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.191 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 4.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.191 * [taylor]: Taking taylor expansion of y in x 4.191 * [backup-simplify]: Simplify y into y 4.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.191 * [taylor]: Taking taylor expansion of x in x 4.191 * [backup-simplify]: Simplify 0 into 0 4.191 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.192 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 4.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.192 * [taylor]: Taking taylor expansion of y in y 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 1 into 1 4.192 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.192 * [backup-simplify]: Simplify (+ 0 0) into 0 4.192 * [taylor]: Taking taylor expansion of 0 in y 4.192 * [backup-simplify]: Simplify 0 into 0 4.192 * [backup-simplify]: Simplify 0 into 0 4.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.193 * [backup-simplify]: Simplify (* 1 1) into 1 4.194 * [backup-simplify]: Simplify (+ 0 1) into 1 4.194 * [taylor]: Taking taylor expansion of 1 in y 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify 1 into 1 4.194 * [backup-simplify]: Simplify 0 into 0 4.194 * [backup-simplify]: Simplify (* 1 1) into 1 4.194 * [backup-simplify]: Simplify 1 into 1 4.195 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.196 * [taylor]: Taking taylor expansion of 0 in y 4.196 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.198 * [backup-simplify]: Simplify 0 into 0 4.199 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.200 * [backup-simplify]: Simplify (+ 0 0) into 0 4.201 * [taylor]: Taking taylor expansion of 0 in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 4.201 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.201 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.201 * [taylor]: Taking taylor expansion of y in y 4.201 * [backup-simplify]: Simplify 0 into 0 4.201 * [backup-simplify]: Simplify 1 into 1 4.202 * [backup-simplify]: Simplify (* 1 1) into 1 4.202 * [backup-simplify]: Simplify (/ 1 1) into 1 4.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.202 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.202 * [taylor]: Taking taylor expansion of x in y 4.202 * [backup-simplify]: Simplify x into x 4.202 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.202 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.203 * [taylor]: Taking taylor expansion of y in x 4.203 * [backup-simplify]: Simplify y into y 4.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.203 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.203 * [taylor]: Taking taylor expansion of x in x 4.203 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify 1 into 1 4.203 * [backup-simplify]: Simplify (* 1 1) into 1 4.204 * [backup-simplify]: Simplify (/ 1 1) into 1 4.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.204 * [taylor]: Taking taylor expansion of y in x 4.204 * [backup-simplify]: Simplify y into y 4.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.204 * [taylor]: Taking taylor expansion of x in x 4.204 * [backup-simplify]: Simplify 0 into 0 4.204 * [backup-simplify]: Simplify 1 into 1 4.205 * [backup-simplify]: Simplify (* 1 1) into 1 4.205 * [backup-simplify]: Simplify (/ 1 1) into 1 4.206 * [backup-simplify]: Simplify (+ 0 1) into 1 4.206 * [taylor]: Taking taylor expansion of 1 in y 4.206 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.207 * [backup-simplify]: Simplify (+ 0 0) into 0 4.208 * [taylor]: Taking taylor expansion of 0 in y 4.208 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.210 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.210 * [taylor]: Taking taylor expansion of y in y 4.210 * [backup-simplify]: Simplify 0 into 0 4.210 * [backup-simplify]: Simplify 1 into 1 4.210 * [backup-simplify]: Simplify (* 1 1) into 1 4.211 * [backup-simplify]: Simplify (/ 1 1) into 1 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (+ 0 0) into 0 4.213 * [taylor]: Taking taylor expansion of 0 in y 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.216 * [backup-simplify]: Simplify (+ 0 0) into 0 4.216 * [taylor]: Taking taylor expansion of 0 in y 4.216 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.218 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 4.218 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 4.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.218 * [taylor]: Taking taylor expansion of y in y 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (* 1 1) into 1 4.218 * [backup-simplify]: Simplify (/ 1 1) into 1 4.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.218 * [taylor]: Taking taylor expansion of x in y 4.218 * [backup-simplify]: Simplify x into x 4.218 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.218 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.218 * [taylor]: Taking taylor expansion of y in x 4.218 * [backup-simplify]: Simplify y into y 4.218 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (* 1 1) into 1 4.219 * [backup-simplify]: Simplify (/ 1 1) into 1 4.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 4.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.219 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.219 * [taylor]: Taking taylor expansion of y in x 4.219 * [backup-simplify]: Simplify y into y 4.219 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.219 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.219 * [taylor]: Taking taylor expansion of x in x 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (/ 1 1) into 1 4.220 * [backup-simplify]: Simplify (+ 0 1) into 1 4.220 * [taylor]: Taking taylor expansion of 1 in y 4.220 * [backup-simplify]: Simplify 1 into 1 4.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (+ 0 0) into 0 4.221 * [taylor]: Taking taylor expansion of 0 in y 4.221 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.222 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 4.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.222 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.222 * [taylor]: Taking taylor expansion of y in y 4.222 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (* 1 1) into 1 4.223 * [backup-simplify]: Simplify (/ 1 1) into 1 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ 0 0) into 0 4.225 * [taylor]: Taking taylor expansion of 0 in y 4.225 * [backup-simplify]: Simplify 0 into 0 4.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify (+ 0 0) into 0 4.228 * [taylor]: Taking taylor expansion of 0 in y 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 4.229 * * * [progress]: simplifying candidates 4.229 * * * * [progress]: [ 1 / 95 ] simplifiying candidate # 4.229 * * * * [progress]: [ 2 / 95 ] simplifiying candidate # 4.229 * * * * [progress]: [ 3 / 95 ] simplifiying candidate # 4.229 * * * * [progress]: [ 4 / 95 ] simplifiying candidate # 4.229 * * * * [progress]: [ 5 / 95 ] simplifiying candidate # 4.229 * * * * [progress]: [ 6 / 95 ] simplifiying candidate # 4.229 * * * * [progress]: [ 7 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 8 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 9 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 10 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 11 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 12 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 13 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 14 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 15 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 16 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 17 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 18 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 19 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 20 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 21 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 22 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 23 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 24 / 95 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* x x) (* y y)))))))> 4.230 * * * * [progress]: [ 25 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 26 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 27 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 28 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 29 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 30 / 95 ] simplifiying candidate # 4.230 * * * * [progress]: [ 31 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 32 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 33 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 34 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 35 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 36 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 37 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 38 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 39 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 40 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 41 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 42 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 43 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 44 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 45 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 46 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 47 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 48 / 95 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* x x) (* y y)))))> 4.231 * * * * [progress]: [ 49 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 50 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 51 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 52 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 53 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 54 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 55 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 56 / 95 ] simplifiying candidate # 4.231 * * * * [progress]: [ 57 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 58 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 59 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 60 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 61 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 62 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 63 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 64 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 65 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 66 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 67 / 95 ] simplifiying candidate # 4.232 * * * * [progress]: [ 68 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 69 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 70 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 71 / 95 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))))))> 4.233 * * * * [progress]: [ 72 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 73 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 74 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 75 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 76 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 77 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 78 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 79 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 80 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 81 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 82 / 95 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y)))))))> 4.233 * * * * [progress]: [ 83 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 84 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 85 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 86 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 87 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 88 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 89 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 90 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 91 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 92 / 95 ] simplifiying candidate # 4.233 * * * * [progress]: [ 93 / 95 ] simplifiying candidate # 4.234 * * * * [progress]: [ 94 / 95 ] simplifiying candidate # 4.234 * * * * [progress]: [ 95 / 95 ] simplifiying candidate # 4.234 * [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)) 4.236 * * [simplify]: iteration 1: (132 enodes) 4.277 * * [simplify]: iteration 2: (372 enodes) 4.495 * * [simplify]: iteration 3: (1127 enodes) 5.187 * * [simplify]: Extracting #0: cost 82 inf + 0 5.189 * * [simplify]: Extracting #1: cost 424 inf + 87 5.204 * * [simplify]: Extracting #2: cost 680 inf + 29280 5.264 * * [simplify]: Extracting #3: cost 223 inf + 153761 5.338 * * [simplify]: Extracting #4: cost 12 inf + 214121 5.393 * * [simplify]: Extracting #5: cost 0 inf + 219478 5.452 * [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) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* 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)) (- (+ (* y y) (* x x))) (/ (/ 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) (+ (* (* (* y y) y) (* (* y y) y)) (* (* (* x x) x) (* (* x x) x)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* 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 y) (- x y)) (- (* (+ (* y y) (* x x)) (* x x)) (* (* y y) (+ (* y y) (* x x)))) (* (+ (* 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))) (/ (* 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)))) (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 y) (- x 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))))) (- (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* 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) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x 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)) 5.458 * * * [progress]: adding candidates to table 6.181 * * [progress]: iteration 2 / 4 6.181 * * * [progress]: picking best candidate 6.185 * * * * [pick]: Picked # 6.186 * * * [progress]: localizing error 6.205 * * * [progress]: generating rewritten candidates 6.205 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.219 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.245 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 6.330 * * * [progress]: generating series expansions 6.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.330 * [backup-simplify]: Simplify (/ (* y y) (+ (* y y) (* x x))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 6.330 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 6.330 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.330 * [taylor]: Taking taylor expansion of y in x 6.330 * [backup-simplify]: Simplify y into y 6.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.330 * [taylor]: Taking taylor expansion of y in x 6.330 * [backup-simplify]: Simplify y into y 6.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.330 * [taylor]: Taking taylor expansion of x in x 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.330 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.330 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.330 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.330 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.330 * [taylor]: Taking taylor expansion of y in y 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.330 * [taylor]: Taking taylor expansion of y in y 6.330 * [backup-simplify]: Simplify 0 into 0 6.330 * [backup-simplify]: Simplify 1 into 1 6.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.330 * [taylor]: Taking taylor expansion of x in y 6.330 * [backup-simplify]: Simplify x into x 6.331 * [backup-simplify]: Simplify (* 1 1) into 1 6.331 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.331 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.331 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.331 * [taylor]: Taking taylor expansion of y in y 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 1 into 1 6.331 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.331 * [taylor]: Taking taylor expansion of y in y 6.331 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify 1 into 1 6.331 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.331 * [taylor]: Taking taylor expansion of x in y 6.331 * [backup-simplify]: Simplify x into x 6.332 * [backup-simplify]: Simplify (* 1 1) into 1 6.332 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.332 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.332 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.332 * [taylor]: Taking taylor expansion of x in x 6.332 * [backup-simplify]: Simplify 0 into 0 6.332 * [backup-simplify]: Simplify 1 into 1 6.332 * [backup-simplify]: Simplify (* 1 1) into 1 6.332 * [backup-simplify]: Simplify (/ 1 1) into 1 6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.335 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 6.335 * [backup-simplify]: Simplify (+ 0 0) into 0 6.335 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 6.335 * [taylor]: Taking taylor expansion of 0 in x 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 0 into 0 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.336 * [backup-simplify]: Simplify 0 into 0 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.337 * [backup-simplify]: Simplify (* 1 1) into 1 6.337 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 6.338 * [backup-simplify]: Simplify (+ 1 0) into 1 6.338 * [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))) 6.338 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 6.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 6.338 * [taylor]: Taking taylor expansion of (pow x 4) in x 6.338 * [taylor]: Taking taylor expansion of x in x 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify (* 1 1) into 1 6.338 * [backup-simplify]: Simplify (* 1 1) into 1 6.339 * [backup-simplify]: Simplify (/ 1 1) into 1 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.345 * [backup-simplify]: Simplify (- 0) into 0 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [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))))) 6.347 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.347 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.347 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.347 * [taylor]: Taking taylor expansion of y in x 6.347 * [backup-simplify]: Simplify y into y 6.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.347 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.347 * [taylor]: Taking taylor expansion of y in x 6.347 * [backup-simplify]: Simplify y into y 6.347 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.347 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.347 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.347 * [taylor]: Taking taylor expansion of x in x 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify 1 into 1 6.347 * [backup-simplify]: Simplify (* 1 1) into 1 6.348 * [backup-simplify]: Simplify (/ 1 1) into 1 6.348 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.348 * [backup-simplify]: Simplify (+ 0 1) into 1 6.348 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.348 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.348 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.348 * [taylor]: Taking taylor expansion of y in y 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.348 * [taylor]: Taking taylor expansion of y in y 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 1 into 1 6.349 * [backup-simplify]: Simplify (* 1 1) into 1 6.349 * [backup-simplify]: Simplify (/ 1 1) into 1 6.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.349 * [taylor]: Taking taylor expansion of x in y 6.349 * [backup-simplify]: Simplify x into x 6.349 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.349 * [backup-simplify]: Simplify (* 1 1) into 1 6.350 * [backup-simplify]: Simplify (+ 1 0) into 1 6.350 * [backup-simplify]: Simplify (* 1 1) into 1 6.350 * [backup-simplify]: Simplify (/ 1 1) into 1 6.350 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.350 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.350 * [taylor]: Taking taylor expansion of y in y 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.350 * [taylor]: Taking taylor expansion of y in y 6.350 * [backup-simplify]: Simplify 0 into 0 6.350 * [backup-simplify]: Simplify 1 into 1 6.350 * [backup-simplify]: Simplify (* 1 1) into 1 6.351 * [backup-simplify]: Simplify (/ 1 1) into 1 6.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.351 * [taylor]: Taking taylor expansion of x in y 6.351 * [backup-simplify]: Simplify x into x 6.351 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.351 * [backup-simplify]: Simplify (* 1 1) into 1 6.351 * [backup-simplify]: Simplify (+ 1 0) into 1 6.352 * [backup-simplify]: Simplify (* 1 1) into 1 6.352 * [backup-simplify]: Simplify (/ 1 1) into 1 6.352 * [taylor]: Taking taylor expansion of 1 in x 6.352 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (+ 0 0) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.355 * [taylor]: Taking taylor expansion of 0 in x 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.357 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.359 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.360 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.360 * [taylor]: Taking taylor expansion of x in x 6.360 * [backup-simplify]: Simplify 0 into 0 6.360 * [backup-simplify]: Simplify 1 into 1 6.361 * [backup-simplify]: Simplify (* 1 1) into 1 6.361 * [backup-simplify]: Simplify (/ 1 1) into 1 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.369 * [backup-simplify]: Simplify (- 0) into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 0 into 0 6.370 * [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))))) 6.370 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 6.370 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.370 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.370 * [taylor]: Taking taylor expansion of y in x 6.370 * [backup-simplify]: Simplify y into y 6.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.370 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.370 * [taylor]: Taking taylor expansion of y in x 6.370 * [backup-simplify]: Simplify y into y 6.370 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.370 * [taylor]: Taking taylor expansion of x in x 6.370 * [backup-simplify]: Simplify 0 into 0 6.370 * [backup-simplify]: Simplify 1 into 1 6.371 * [backup-simplify]: Simplify (* 1 1) into 1 6.371 * [backup-simplify]: Simplify (/ 1 1) into 1 6.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.372 * [backup-simplify]: Simplify (+ 0 1) into 1 6.372 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.372 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.372 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.372 * [taylor]: Taking taylor expansion of y in y 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.372 * [taylor]: Taking taylor expansion of y in y 6.372 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (* 1 1) into 1 6.373 * [backup-simplify]: Simplify (/ 1 1) into 1 6.373 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.373 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.373 * [taylor]: Taking taylor expansion of x in y 6.373 * [backup-simplify]: Simplify x into x 6.373 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.373 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.373 * [backup-simplify]: Simplify (* 1 1) into 1 6.373 * [backup-simplify]: Simplify (+ 1 0) into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.374 * [backup-simplify]: Simplify (/ 1 1) into 1 6.374 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.374 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.374 * [taylor]: Taking taylor expansion of y in y 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.374 * [taylor]: Taking taylor expansion of y in y 6.374 * [backup-simplify]: Simplify 0 into 0 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (* 1 1) into 1 6.375 * [backup-simplify]: Simplify (/ 1 1) into 1 6.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.375 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.375 * [taylor]: Taking taylor expansion of x in y 6.375 * [backup-simplify]: Simplify x into x 6.375 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.375 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.375 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (+ 1 0) into 1 6.376 * [backup-simplify]: Simplify (* 1 1) into 1 6.376 * [backup-simplify]: Simplify (/ 1 1) into 1 6.376 * [taylor]: Taking taylor expansion of 1 in x 6.376 * [backup-simplify]: Simplify 1 into 1 6.376 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (+ 0 0) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.379 * [taylor]: Taking taylor expansion of 0 in x 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.380 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.381 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 6.381 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 6.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.381 * [taylor]: Taking taylor expansion of x in x 6.381 * [backup-simplify]: Simplify 0 into 0 6.381 * [backup-simplify]: Simplify 1 into 1 6.382 * [backup-simplify]: Simplify (* 1 1) into 1 6.382 * [backup-simplify]: Simplify (/ 1 1) into 1 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.386 * [backup-simplify]: Simplify (- 0) into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.387 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 6.387 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 6.387 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 6.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.387 * [taylor]: Taking taylor expansion of x in y 6.387 * [backup-simplify]: Simplify x into x 6.387 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.387 * [taylor]: Taking taylor expansion of y in y 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.387 * [taylor]: Taking taylor expansion of x in y 6.387 * [backup-simplify]: Simplify x into x 6.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.387 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.387 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.387 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.387 * [taylor]: Taking taylor expansion of x in x 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.387 * [taylor]: Taking taylor expansion of y in x 6.387 * [backup-simplify]: Simplify y into y 6.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.387 * [taylor]: Taking taylor expansion of x in x 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (* 1 1) into 1 6.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.388 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.388 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.388 * [taylor]: Taking taylor expansion of x in x 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.388 * [taylor]: Taking taylor expansion of y in x 6.388 * [backup-simplify]: Simplify y into y 6.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.388 * [taylor]: Taking taylor expansion of x in x 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify (* 1 1) into 1 6.388 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.388 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.388 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.388 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.388 * [taylor]: Taking taylor expansion of y in y 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (* 1 1) into 1 6.389 * [backup-simplify]: Simplify (/ 1 1) into 1 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.391 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.392 * [backup-simplify]: Simplify (+ 0 0) into 0 6.392 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.392 * [taylor]: Taking taylor expansion of 0 in y 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.393 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.394 * [backup-simplify]: Simplify (* 1 1) into 1 6.395 * [backup-simplify]: Simplify (+ 0 1) into 1 6.395 * [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))) 6.395 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 6.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 6.395 * [taylor]: Taking taylor expansion of (pow y 4) in y 6.395 * [taylor]: Taking taylor expansion of y in y 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 1 into 1 6.395 * [backup-simplify]: Simplify (* 1 1) into 1 6.395 * [backup-simplify]: Simplify (* 1 1) into 1 6.396 * [backup-simplify]: Simplify (/ 1 1) into 1 6.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify (- 0) into 0 6.402 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [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))))) 6.404 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 6.404 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.404 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.404 * [taylor]: Taking taylor expansion of x in y 6.404 * [backup-simplify]: Simplify x into x 6.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.404 * [taylor]: Taking taylor expansion of y in y 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.405 * [backup-simplify]: Simplify (* 1 1) into 1 6.405 * [backup-simplify]: Simplify (/ 1 1) into 1 6.405 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.405 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.405 * [taylor]: Taking taylor expansion of x in y 6.405 * [backup-simplify]: Simplify x into x 6.405 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.405 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.406 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.406 * [backup-simplify]: Simplify (+ 1 0) into 1 6.406 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.406 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.406 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.406 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.406 * [taylor]: Taking taylor expansion of x in x 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify 1 into 1 6.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.406 * [taylor]: Taking taylor expansion of y in x 6.406 * [backup-simplify]: Simplify y into y 6.406 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.406 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.406 * [taylor]: Taking taylor expansion of x in x 6.406 * [backup-simplify]: Simplify 0 into 0 6.406 * [backup-simplify]: Simplify 1 into 1 6.406 * [backup-simplify]: Simplify (* 1 1) into 1 6.407 * [backup-simplify]: Simplify (/ 1 1) into 1 6.407 * [backup-simplify]: Simplify (* 1 1) into 1 6.407 * [backup-simplify]: Simplify (+ 0 1) into 1 6.407 * [backup-simplify]: Simplify (* 1 1) into 1 6.408 * [backup-simplify]: Simplify (/ 1 1) into 1 6.408 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.408 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.408 * [taylor]: Taking taylor expansion of x in x 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.408 * [taylor]: Taking taylor expansion of y in x 6.408 * [backup-simplify]: Simplify y into y 6.408 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.408 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.408 * [taylor]: Taking taylor expansion of x in x 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (* 1 1) into 1 6.409 * [backup-simplify]: Simplify (/ 1 1) into 1 6.409 * [backup-simplify]: Simplify (* 1 1) into 1 6.409 * [backup-simplify]: Simplify (+ 0 1) into 1 6.409 * [backup-simplify]: Simplify (* 1 1) into 1 6.409 * [backup-simplify]: Simplify (/ 1 1) into 1 6.410 * [taylor]: Taking taylor expansion of 1 in y 6.410 * [backup-simplify]: Simplify 1 into 1 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.411 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.414 * [taylor]: Taking taylor expansion of 0 in y 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify 0 into 0 6.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.416 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.416 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.416 * [taylor]: Taking taylor expansion of y in y 6.416 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify 1 into 1 6.417 * [backup-simplify]: Simplify (* 1 1) into 1 6.417 * [backup-simplify]: Simplify (/ 1 1) into 1 6.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (- 0) into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 0 into 0 6.423 * [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))))) 6.423 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 6.423 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.423 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.423 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.423 * [taylor]: Taking taylor expansion of x in y 6.423 * [backup-simplify]: Simplify x into x 6.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.423 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.423 * [taylor]: Taking taylor expansion of y in y 6.423 * [backup-simplify]: Simplify 0 into 0 6.423 * [backup-simplify]: Simplify 1 into 1 6.423 * [backup-simplify]: Simplify (* 1 1) into 1 6.424 * [backup-simplify]: Simplify (/ 1 1) into 1 6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.424 * [taylor]: Taking taylor expansion of x in y 6.424 * [backup-simplify]: Simplify x into x 6.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.424 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.424 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.424 * [backup-simplify]: Simplify (+ 1 0) into 1 6.425 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.425 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.425 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.425 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.425 * [taylor]: Taking taylor expansion of x in x 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.425 * [taylor]: Taking taylor expansion of y in x 6.425 * [backup-simplify]: Simplify y into y 6.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.425 * [taylor]: Taking taylor expansion of x in x 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.426 * [backup-simplify]: Simplify (* 1 1) into 1 6.426 * [backup-simplify]: Simplify (/ 1 1) into 1 6.426 * [backup-simplify]: Simplify (* 1 1) into 1 6.427 * [backup-simplify]: Simplify (+ 0 1) into 1 6.427 * [backup-simplify]: Simplify (* 1 1) into 1 6.427 * [backup-simplify]: Simplify (/ 1 1) into 1 6.428 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.428 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.428 * [taylor]: Taking taylor expansion of x in x 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 1 into 1 6.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.428 * [taylor]: Taking taylor expansion of y in x 6.428 * [backup-simplify]: Simplify y into y 6.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.428 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.428 * [taylor]: Taking taylor expansion of x in x 6.428 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify 1 into 1 6.429 * [backup-simplify]: Simplify (* 1 1) into 1 6.429 * [backup-simplify]: Simplify (/ 1 1) into 1 6.429 * [backup-simplify]: Simplify (* 1 1) into 1 6.430 * [backup-simplify]: Simplify (+ 0 1) into 1 6.430 * [backup-simplify]: Simplify (* 1 1) into 1 6.430 * [backup-simplify]: Simplify (/ 1 1) into 1 6.431 * [taylor]: Taking taylor expansion of 1 in y 6.431 * [backup-simplify]: Simplify 1 into 1 6.431 * [backup-simplify]: Simplify 0 into 0 6.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.432 * [backup-simplify]: Simplify (+ 0 0) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.435 * [taylor]: Taking taylor expansion of 0 in y 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.437 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.438 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.439 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 6.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.439 * [taylor]: Taking taylor expansion of y in y 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.440 * [backup-simplify]: Simplify (* 1 1) into 1 6.440 * [backup-simplify]: Simplify (/ 1 1) into 1 6.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.448 * [backup-simplify]: Simplify (- 0) into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.448 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.449 * [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)))) 6.449 * [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 6.449 * [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 6.449 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 6.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.449 * [taylor]: Taking taylor expansion of x in y 6.449 * [backup-simplify]: Simplify x into x 6.449 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.449 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.449 * [taylor]: Taking taylor expansion of y in y 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.449 * [taylor]: Taking taylor expansion of x in y 6.449 * [backup-simplify]: Simplify x into x 6.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.450 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.450 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.450 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 6.450 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 6.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.450 * [taylor]: Taking taylor expansion of y in y 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.450 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.450 * [taylor]: Taking taylor expansion of y in y 6.450 * [backup-simplify]: Simplify 0 into 0 6.450 * [backup-simplify]: Simplify 1 into 1 6.450 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.450 * [taylor]: Taking taylor expansion of x in y 6.450 * [backup-simplify]: Simplify x into x 6.450 * [backup-simplify]: Simplify (* 1 1) into 1 6.451 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.451 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 6.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.451 * [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 6.451 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.451 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.451 * [taylor]: Taking taylor expansion of y in x 6.451 * [backup-simplify]: Simplify y into y 6.451 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.451 * [taylor]: Taking taylor expansion of x in x 6.451 * [backup-simplify]: Simplify 0 into 0 6.451 * [backup-simplify]: Simplify 1 into 1 6.451 * [backup-simplify]: Simplify (* 1 1) into 1 6.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.452 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.452 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.452 * [taylor]: Taking taylor expansion of y in x 6.452 * [backup-simplify]: Simplify y into y 6.452 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.452 * [taylor]: Taking taylor expansion of y in x 6.452 * [backup-simplify]: Simplify y into y 6.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.452 * [taylor]: Taking taylor expansion of x in x 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.452 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.452 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.452 * [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 6.452 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 6.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.452 * [taylor]: Taking taylor expansion of x in x 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.452 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.452 * [taylor]: Taking taylor expansion of y in x 6.453 * [backup-simplify]: Simplify y into y 6.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.453 * [taylor]: Taking taylor expansion of x in x 6.453 * [backup-simplify]: Simplify 0 into 0 6.453 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (* 1 1) into 1 6.453 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.453 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.453 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.453 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 6.453 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.453 * [taylor]: Taking taylor expansion of y in x 6.453 * [backup-simplify]: Simplify y into y 6.454 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.454 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.454 * [taylor]: Taking taylor expansion of y in x 6.454 * [backup-simplify]: Simplify y into y 6.454 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.454 * [taylor]: Taking taylor expansion of x in x 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.454 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.454 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.454 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 6.455 * [backup-simplify]: Simplify (- 1) into -1 6.455 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.455 * [taylor]: Taking taylor expansion of -1 in y 6.455 * [backup-simplify]: Simplify -1 into -1 6.455 * [backup-simplify]: Simplify -1 into -1 6.455 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.455 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.456 * [backup-simplify]: Simplify (+ 0 0) into 0 6.456 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 0 (pow y 2))))) into 0 6.456 * [backup-simplify]: Simplify (- 0) into 0 6.457 * [backup-simplify]: Simplify (+ 0 0) into 0 6.457 * [taylor]: Taking taylor expansion of 0 in y 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify 0 into 0 6.457 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.458 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.458 * [backup-simplify]: Simplify (* 1 1) into 1 6.459 * [backup-simplify]: Simplify (+ 0 1) into 1 6.459 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* 1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 2))) 6.459 * [backup-simplify]: Simplify (- (- (/ 1 (pow y 2)))) into (/ 1 (pow y 2)) 6.459 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 6.459 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.459 * [taylor]: Taking taylor expansion of 2 in y 6.459 * [backup-simplify]: Simplify 2 into 2 6.459 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.459 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.459 * [taylor]: Taking taylor expansion of y in y 6.459 * [backup-simplify]: Simplify 0 into 0 6.459 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (* 1 1) into 1 6.460 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.465 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.465 * [backup-simplify]: Simplify 0 into 0 6.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.466 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.468 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [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 6.470 * [backup-simplify]: Simplify (- 0) into 0 6.471 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [taylor]: Taking taylor expansion of 0 in y 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify -1 into -1 6.472 * [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)))))) 6.472 * [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 6.472 * [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 6.472 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.472 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.472 * [taylor]: Taking taylor expansion of x in y 6.472 * [backup-simplify]: Simplify x into x 6.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.472 * [taylor]: Taking taylor expansion of y in y 6.472 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify 1 into 1 6.473 * [backup-simplify]: Simplify (* 1 1) into 1 6.473 * [backup-simplify]: Simplify (/ 1 1) into 1 6.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.474 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.474 * [taylor]: Taking taylor expansion of x in y 6.474 * [backup-simplify]: Simplify x into x 6.474 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.474 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.474 * [backup-simplify]: Simplify (+ 1 0) into 1 6.474 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.475 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.475 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.475 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.475 * [taylor]: Taking taylor expansion of y in y 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 1 into 1 6.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.475 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.475 * [taylor]: Taking taylor expansion of y in y 6.475 * [backup-simplify]: Simplify 0 into 0 6.475 * [backup-simplify]: Simplify 1 into 1 6.475 * [backup-simplify]: Simplify (* 1 1) into 1 6.476 * [backup-simplify]: Simplify (/ 1 1) into 1 6.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.476 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.476 * [taylor]: Taking taylor expansion of x in y 6.476 * [backup-simplify]: Simplify x into x 6.476 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.476 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.477 * [backup-simplify]: Simplify (* 1 1) into 1 6.477 * [backup-simplify]: Simplify (+ 1 0) into 1 6.478 * [backup-simplify]: Simplify (* 1 1) into 1 6.478 * [backup-simplify]: Simplify (/ 1 1) into 1 6.478 * [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 6.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.478 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.478 * [taylor]: Taking taylor expansion of x in x 6.478 * [backup-simplify]: Simplify 0 into 0 6.478 * [backup-simplify]: Simplify 1 into 1 6.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.478 * [taylor]: Taking taylor expansion of y in x 6.478 * [backup-simplify]: Simplify y into y 6.478 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.479 * [taylor]: Taking taylor expansion of x in x 6.479 * [backup-simplify]: Simplify 0 into 0 6.479 * [backup-simplify]: Simplify 1 into 1 6.479 * [backup-simplify]: Simplify (* 1 1) into 1 6.480 * [backup-simplify]: Simplify (/ 1 1) into 1 6.480 * [backup-simplify]: Simplify (* 1 1) into 1 6.481 * [backup-simplify]: Simplify (+ 0 1) into 1 6.481 * [backup-simplify]: Simplify (* 1 1) into 1 6.482 * [backup-simplify]: Simplify (/ 1 1) into 1 6.482 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.482 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.482 * [taylor]: Taking taylor expansion of y in x 6.482 * [backup-simplify]: Simplify y into y 6.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.482 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.482 * [taylor]: Taking taylor expansion of y in x 6.482 * [backup-simplify]: Simplify y into y 6.482 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.483 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.483 * [taylor]: Taking taylor expansion of x in x 6.483 * [backup-simplify]: Simplify 0 into 0 6.483 * [backup-simplify]: Simplify 1 into 1 6.483 * [backup-simplify]: Simplify (* 1 1) into 1 6.484 * [backup-simplify]: Simplify (/ 1 1) into 1 6.484 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.484 * [backup-simplify]: Simplify (+ 0 1) into 1 6.484 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.484 * [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 6.484 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.485 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 1 into 1 6.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.485 * [taylor]: Taking taylor expansion of y in x 6.485 * [backup-simplify]: Simplify y into y 6.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.485 * [taylor]: Taking taylor expansion of x in x 6.485 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (* 1 1) into 1 6.486 * [backup-simplify]: Simplify (/ 1 1) into 1 6.486 * [backup-simplify]: Simplify (* 1 1) into 1 6.487 * [backup-simplify]: Simplify (+ 0 1) into 1 6.487 * [backup-simplify]: Simplify (* 1 1) into 1 6.488 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.488 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.488 * [taylor]: Taking taylor expansion of y in x 6.488 * [backup-simplify]: Simplify y into y 6.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.488 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.488 * [taylor]: Taking taylor expansion of y in x 6.488 * [backup-simplify]: Simplify y into y 6.488 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.488 * [taylor]: Taking taylor expansion of x in x 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.490 * [backup-simplify]: Simplify (+ 0 1) into 1 6.490 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.490 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.491 * [backup-simplify]: Simplify (+ 1 0) into 1 6.491 * [taylor]: Taking taylor expansion of 1 in y 6.491 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.493 * [backup-simplify]: Simplify (+ 0 0) into 0 6.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.495 * [backup-simplify]: Simplify (+ 0 0) into 0 6.495 * [taylor]: Taking taylor expansion of 0 in y 6.495 * [backup-simplify]: Simplify 0 into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify 0 into 0 6.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.501 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.501 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 6.501 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.501 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.501 * [taylor]: Taking taylor expansion of 2 in y 6.501 * [backup-simplify]: Simplify 2 into 2 6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.501 * [taylor]: Taking taylor expansion of y in y 6.501 * [backup-simplify]: Simplify 0 into 0 6.501 * [backup-simplify]: Simplify 1 into 1 6.502 * [backup-simplify]: Simplify (* 1 1) into 1 6.502 * [backup-simplify]: Simplify (/ 1 1) into 1 6.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.507 * [backup-simplify]: Simplify (- 0) into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.507 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.511 * [backup-simplify]: Simplify (+ 0 0) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (+ 0 0) into 0 6.517 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.517 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 6.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.518 * [backup-simplify]: Simplify (- 0) into 0 6.518 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [taylor]: Taking taylor expansion of 0 in y 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 0 into 0 6.518 * [backup-simplify]: Simplify 1 into 1 6.519 * [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)))))) 6.519 * [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 6.519 * [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 6.519 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.519 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.519 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.519 * [taylor]: Taking taylor expansion of x in y 6.519 * [backup-simplify]: Simplify x into x 6.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.520 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.520 * [taylor]: Taking taylor expansion of y in y 6.520 * [backup-simplify]: Simplify 0 into 0 6.520 * [backup-simplify]: Simplify 1 into 1 6.520 * [backup-simplify]: Simplify (* 1 1) into 1 6.521 * [backup-simplify]: Simplify (/ 1 1) into 1 6.521 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.521 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.521 * [taylor]: Taking taylor expansion of x in y 6.521 * [backup-simplify]: Simplify x into x 6.521 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.521 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.521 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.522 * [backup-simplify]: Simplify (+ 1 0) into 1 6.522 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 6.522 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.522 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 6.522 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 6.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.522 * [taylor]: Taking taylor expansion of y in y 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.522 * [taylor]: Taking taylor expansion of y in y 6.522 * [backup-simplify]: Simplify 0 into 0 6.522 * [backup-simplify]: Simplify 1 into 1 6.523 * [backup-simplify]: Simplify (* 1 1) into 1 6.523 * [backup-simplify]: Simplify (/ 1 1) into 1 6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.523 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.523 * [taylor]: Taking taylor expansion of x in y 6.523 * [backup-simplify]: Simplify x into x 6.523 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.524 * [backup-simplify]: Simplify (* 1 1) into 1 6.524 * [backup-simplify]: Simplify (+ 1 0) into 1 6.525 * [backup-simplify]: Simplify (* 1 1) into 1 6.525 * [backup-simplify]: Simplify (/ 1 1) into 1 6.525 * [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 6.525 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.525 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.525 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.525 * [taylor]: Taking taylor expansion of x in x 6.525 * [backup-simplify]: Simplify 0 into 0 6.525 * [backup-simplify]: Simplify 1 into 1 6.525 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.526 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.526 * [taylor]: Taking taylor expansion of y in x 6.526 * [backup-simplify]: Simplify y into y 6.526 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.526 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.526 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.526 * [taylor]: Taking taylor expansion of x in x 6.526 * [backup-simplify]: Simplify 0 into 0 6.526 * [backup-simplify]: Simplify 1 into 1 6.526 * [backup-simplify]: Simplify (* 1 1) into 1 6.527 * [backup-simplify]: Simplify (/ 1 1) into 1 6.527 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (+ 0 1) into 1 6.528 * [backup-simplify]: Simplify (* 1 1) into 1 6.528 * [backup-simplify]: Simplify (/ 1 1) into 1 6.528 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.528 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.529 * [taylor]: Taking taylor expansion of y in x 6.529 * [backup-simplify]: Simplify y into y 6.529 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.529 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.529 * [taylor]: Taking taylor expansion of y in x 6.529 * [backup-simplify]: Simplify y into y 6.529 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.529 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.529 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.529 * [taylor]: Taking taylor expansion of x in x 6.529 * [backup-simplify]: Simplify 0 into 0 6.529 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (* 1 1) into 1 6.530 * [backup-simplify]: Simplify (/ 1 1) into 1 6.530 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.530 * [backup-simplify]: Simplify (+ 0 1) into 1 6.530 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.531 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.531 * [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 6.531 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.531 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.531 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.531 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.531 * [taylor]: Taking taylor expansion of y in x 6.531 * [backup-simplify]: Simplify y into y 6.531 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.531 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.531 * [taylor]: Taking taylor expansion of x in x 6.531 * [backup-simplify]: Simplify 0 into 0 6.531 * [backup-simplify]: Simplify 1 into 1 6.532 * [backup-simplify]: Simplify (* 1 1) into 1 6.532 * [backup-simplify]: Simplify (/ 1 1) into 1 6.532 * [backup-simplify]: Simplify (* 1 1) into 1 6.533 * [backup-simplify]: Simplify (+ 0 1) into 1 6.533 * [backup-simplify]: Simplify (* 1 1) into 1 6.534 * [backup-simplify]: Simplify (/ 1 1) into 1 6.534 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 6.534 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 6.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.534 * [taylor]: Taking taylor expansion of y in x 6.534 * [backup-simplify]: Simplify y into y 6.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.534 * [taylor]: Taking taylor expansion of y in x 6.534 * [backup-simplify]: Simplify y into y 6.534 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.534 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.534 * [taylor]: Taking taylor expansion of x in x 6.534 * [backup-simplify]: Simplify 0 into 0 6.534 * [backup-simplify]: Simplify 1 into 1 6.535 * [backup-simplify]: Simplify (* 1 1) into 1 6.535 * [backup-simplify]: Simplify (/ 1 1) into 1 6.535 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.536 * [backup-simplify]: Simplify (+ 0 1) into 1 6.536 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 6.536 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.536 * [backup-simplify]: Simplify (+ 1 0) into 1 6.536 * [taylor]: Taking taylor expansion of 1 in y 6.536 * [backup-simplify]: Simplify 1 into 1 6.537 * [backup-simplify]: Simplify 1 into 1 6.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.538 * [backup-simplify]: Simplify (+ 0 0) into 0 6.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (+ 0 0) into 0 6.541 * [taylor]: Taking taylor expansion of 0 in y 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.541 * [backup-simplify]: Simplify 0 into 0 6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.543 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 6.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 6.546 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 6.547 * [backup-simplify]: Simplify (+ (- (/ 1 (pow y 2))) (- (/ 1 (pow y 2)))) into (- (* 2 (/ 1 (pow y 2)))) 6.547 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 6.547 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 6.547 * [taylor]: Taking taylor expansion of 2 in y 6.547 * [backup-simplify]: Simplify 2 into 2 6.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.547 * [taylor]: Taking taylor expansion of y in y 6.547 * [backup-simplify]: Simplify 0 into 0 6.547 * [backup-simplify]: Simplify 1 into 1 6.548 * [backup-simplify]: Simplify (* 1 1) into 1 6.548 * [backup-simplify]: Simplify (/ 1 1) into 1 6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.553 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 6.553 * [backup-simplify]: Simplify (- 0) into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify 0 into 0 6.553 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.557 * [backup-simplify]: Simplify (+ 0 0) into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 6.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 6.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.561 * [backup-simplify]: Simplify (+ 0 0) into 0 6.561 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.561 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (* 0 1)) into 0 6.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.562 * [backup-simplify]: Simplify (- 0) into 0 6.562 * [backup-simplify]: Simplify (+ 0 0) into 0 6.562 * [taylor]: Taking taylor expansion of 0 in y 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 6.562 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 6.562 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 6.562 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 6.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.562 * [taylor]: Taking taylor expansion of y in y 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.562 * [taylor]: Taking taylor expansion of x in y 6.562 * [backup-simplify]: Simplify x into x 6.562 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.562 * [taylor]: Taking taylor expansion of y in x 6.562 * [backup-simplify]: Simplify y into y 6.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.562 * [taylor]: Taking taylor expansion of x in x 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 6.562 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.562 * [taylor]: Taking taylor expansion of y in x 6.562 * [backup-simplify]: Simplify y into y 6.562 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.562 * [taylor]: Taking taylor expansion of x in x 6.562 * [backup-simplify]: Simplify 0 into 0 6.562 * [backup-simplify]: Simplify 1 into 1 6.562 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.563 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 6.563 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.563 * [taylor]: Taking taylor expansion of y in y 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 1 into 1 6.563 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.563 * [backup-simplify]: Simplify (+ 0 0) into 0 6.563 * [taylor]: Taking taylor expansion of 0 in y 6.563 * [backup-simplify]: Simplify 0 into 0 6.563 * [backup-simplify]: Simplify 0 into 0 6.565 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.565 * [backup-simplify]: Simplify (* 1 1) into 1 6.565 * [backup-simplify]: Simplify (+ 0 1) into 1 6.565 * [taylor]: Taking taylor expansion of 1 in y 6.565 * [backup-simplify]: Simplify 1 into 1 6.565 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify 0 into 0 6.566 * [backup-simplify]: Simplify (* 1 1) into 1 6.566 * [backup-simplify]: Simplify 1 into 1 6.566 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 6.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.567 * [backup-simplify]: Simplify (+ 0 0) into 0 6.567 * [taylor]: Taking taylor expansion of 0 in y 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify 0 into 0 6.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 6.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.569 * [backup-simplify]: Simplify (+ 0 0) into 0 6.569 * [taylor]: Taking taylor expansion of 0 in y 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify 0 into 0 6.569 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 6.569 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 6.569 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 6.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.570 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.570 * [taylor]: Taking taylor expansion of y in y 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.570 * [backup-simplify]: Simplify (* 1 1) into 1 6.570 * [backup-simplify]: Simplify (/ 1 1) into 1 6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.570 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.570 * [taylor]: Taking taylor expansion of x in y 6.570 * [backup-simplify]: Simplify x into x 6.570 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.570 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.570 * [taylor]: Taking taylor expansion of y in x 6.570 * [backup-simplify]: Simplify y into y 6.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.570 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.570 * [taylor]: Taking taylor expansion of x in x 6.570 * [backup-simplify]: Simplify 0 into 0 6.570 * [backup-simplify]: Simplify 1 into 1 6.571 * [backup-simplify]: Simplify (* 1 1) into 1 6.571 * [backup-simplify]: Simplify (/ 1 1) into 1 6.571 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.571 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.571 * [taylor]: Taking taylor expansion of y in x 6.571 * [backup-simplify]: Simplify y into y 6.571 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.571 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.571 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.571 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.572 * [taylor]: Taking taylor expansion of x in x 6.572 * [backup-simplify]: Simplify 0 into 0 6.572 * [backup-simplify]: Simplify 1 into 1 6.572 * [backup-simplify]: Simplify (* 1 1) into 1 6.572 * [backup-simplify]: Simplify (/ 1 1) into 1 6.572 * [backup-simplify]: Simplify (+ 0 1) into 1 6.572 * [taylor]: Taking taylor expansion of 1 in y 6.572 * [backup-simplify]: Simplify 1 into 1 6.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.573 * [backup-simplify]: Simplify (+ 0 0) into 0 6.573 * [taylor]: Taking taylor expansion of 0 in y 6.574 * [backup-simplify]: Simplify 0 into 0 6.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.575 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.575 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.575 * [taylor]: Taking taylor expansion of y in y 6.575 * [backup-simplify]: Simplify 0 into 0 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify (* 1 1) into 1 6.575 * [backup-simplify]: Simplify (/ 1 1) into 1 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify 1 into 1 6.575 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.577 * [backup-simplify]: Simplify (+ 0 0) into 0 6.577 * [taylor]: Taking taylor expansion of 0 in y 6.577 * [backup-simplify]: Simplify 0 into 0 6.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify 0 into 0 6.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.580 * [backup-simplify]: Simplify (+ 0 0) into 0 6.580 * [taylor]: Taking taylor expansion of 0 in y 6.580 * [backup-simplify]: Simplify 0 into 0 6.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify 0 into 0 6.581 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 6.582 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 6.582 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 6.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 6.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.582 * [taylor]: Taking taylor expansion of y in y 6.582 * [backup-simplify]: Simplify 0 into 0 6.582 * [backup-simplify]: Simplify 1 into 1 6.582 * [backup-simplify]: Simplify (* 1 1) into 1 6.582 * [backup-simplify]: Simplify (/ 1 1) into 1 6.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 6.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 6.582 * [taylor]: Taking taylor expansion of x in y 6.582 * [backup-simplify]: Simplify x into x 6.582 * [backup-simplify]: Simplify (* x x) into (pow x 2) 6.582 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 6.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.582 * [taylor]: Taking taylor expansion of y in x 6.583 * [backup-simplify]: Simplify y into y 6.583 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.583 * [taylor]: Taking taylor expansion of x in x 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 1 into 1 6.583 * [backup-simplify]: Simplify (* 1 1) into 1 6.583 * [backup-simplify]: Simplify (/ 1 1) into 1 6.583 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 6.583 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 6.583 * [taylor]: Taking taylor expansion of (pow y 2) in x 6.583 * [taylor]: Taking taylor expansion of y in x 6.583 * [backup-simplify]: Simplify y into y 6.583 * [backup-simplify]: Simplify (* y y) into (pow y 2) 6.583 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 6.583 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 6.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 6.583 * [taylor]: Taking taylor expansion of x in x 6.583 * [backup-simplify]: Simplify 0 into 0 6.583 * [backup-simplify]: Simplify 1 into 1 6.584 * [backup-simplify]: Simplify (* 1 1) into 1 6.584 * [backup-simplify]: Simplify (/ 1 1) into 1 6.584 * [backup-simplify]: Simplify (+ 0 1) into 1 6.584 * [taylor]: Taking taylor expansion of 1 in y 6.584 * [backup-simplify]: Simplify 1 into 1 6.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.586 * [backup-simplify]: Simplify (+ 0 0) into 0 6.586 * [taylor]: Taking taylor expansion of 0 in y 6.586 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.588 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 6.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 6.588 * [taylor]: Taking taylor expansion of (pow y 2) in y 6.588 * [taylor]: Taking taylor expansion of y in y 6.588 * [backup-simplify]: Simplify 0 into 0 6.588 * [backup-simplify]: Simplify 1 into 1 6.588 * [backup-simplify]: Simplify (* 1 1) into 1 6.589 * [backup-simplify]: Simplify (/ 1 1) into 1 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify 1 into 1 6.589 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 6.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 6.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.592 * [backup-simplify]: Simplify (+ 0 0) into 0 6.592 * [taylor]: Taking taylor expansion of 0 in y 6.592 * [backup-simplify]: Simplify 0 into 0 6.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.593 * [backup-simplify]: Simplify 0 into 0 6.594 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 6.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.596 * [backup-simplify]: Simplify (+ 0 0) into 0 6.596 * [taylor]: Taking taylor expansion of 0 in y 6.596 * [backup-simplify]: Simplify 0 into 0 6.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 0 into 0 6.598 * [backup-simplify]: Simplify 0 into 0 6.599 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 6.599 * * * [progress]: simplifying candidates 6.599 * * * * [progress]: [ 1 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 2 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 3 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 4 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 5 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 6 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 7 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 8 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 9 / 91 ] simplifiying candidate # 6.599 * * * * [progress]: [ 10 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 11 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 12 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 13 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 14 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 15 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 16 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 17 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 18 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 19 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 20 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 21 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 22 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 23 / 91 ] simplifiying candidate # 6.600 * * * * [progress]: [ 24 / 91 ] simplifiying candidate #real (real->posit16 (/ (* y y) (+ (* y y) (* x x)))))))> 6.600 * * * * [progress]: [ 25 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 26 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 27 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 28 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 29 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 30 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 31 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 32 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 33 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 34 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 35 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 36 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 37 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 38 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 39 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 40 / 91 ] simplifiying candidate # 6.601 * * * * [progress]: [ 41 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 42 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 43 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 44 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 45 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 46 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 47 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 48 / 91 ] simplifiying candidate #real (real->posit16 (/ (* x x) (+ (* x x) (* y y))))) (/ (* y y) (+ (* y y) (* x x)))))> 6.602 * * * * [progress]: [ 49 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 50 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 51 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 52 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 53 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 54 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 55 / 91 ] simplifiying candidate # 6.602 * * * * [progress]: [ 56 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 57 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 58 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 59 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 60 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 61 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 62 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 63 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 64 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 65 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 66 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 67 / 91 ] simplifiying candidate #real (real->posit16 (- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* y y) (* x x)))))))> 6.603 * * * * [progress]: [ 68 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 69 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 70 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 71 / 91 ] simplifiying candidate # 6.603 * * * * [progress]: [ 72 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 73 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 74 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 75 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 76 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 77 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 78 / 91 ] simplifiying candidate #real (real->posit16 (+ (* x x) (* y y))))) (/ (* y y) (+ (* y y) (* x x)))))> 6.604 * * * * [progress]: [ 79 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 80 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 81 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 82 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 83 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 84 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 85 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 86 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 87 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 88 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 89 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 90 / 91 ] simplifiying candidate # 6.604 * * * * [progress]: [ 91 / 91 ] simplifiying candidate # 6.605 * [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)) 6.607 * * [simplify]: iteration 1: (142 enodes) 6.646 * * [simplify]: iteration 2: (420 enodes) 6.976 * * [simplify]: iteration 3: (1438 enodes) 8.690 * * [simplify]: Extracting #0: cost 81 inf + 0 8.691 * * [simplify]: Extracting #1: cost 533 inf + 127 8.699 * * [simplify]: Extracting #2: cost 936 inf + 21150 8.738 * * [simplify]: Extracting #3: cost 489 inf + 149147 8.817 * * [simplify]: Extracting #4: cost 61 inf + 264042 8.935 * * [simplify]: Extracting #5: cost 1 inf + 282688 9.058 * * [simplify]: Extracting #6: cost 0 inf + 283050 9.136 * [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)) (- (+ (* y y) (* x x))) (/ (/ 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) (+ (* (* 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))))) (* (+ (* 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)))))) (+ (* (/ (* 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))) (/ (* 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))) (- (* (* y y) (* y y)) (* (* x x) (- (* 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)) 9.142 * * * [progress]: adding candidates to table 9.747 * * [progress]: iteration 3 / 4 9.747 * * * [progress]: picking best candidate 9.753 * * * * [pick]: Picked # 9.753 * * * [progress]: localizing error 9.753 * * * [progress]: generating rewritten candidates 9.753 * * * [progress]: generating series expansions 9.753 * * * [progress]: simplifying candidates 9.754 * [simplify]: Simplifying: 9.754 * * [simplify]: iteration 1: (0 enodes) 9.754 * * [simplify]: Extracting #0: cost 0 inf + 0 9.754 * [simplify]: Simplified to: 9.754 * * * [progress]: adding candidates to table 9.755 * * [progress]: iteration 4 / 4 9.755 * * * [progress]: picking best candidate 9.757 * * * * [pick]: Picked # 9.757 * * * [progress]: localizing error 9.758 * * * [progress]: generating rewritten candidates 9.758 * * * [progress]: generating series expansions 9.758 * * * [progress]: simplifying candidates 9.758 * [simplify]: Simplifying: 9.759 * * [simplify]: iteration 1: (0 enodes) 9.759 * * [simplify]: Extracting #0: cost 0 inf + 0 9.759 * [simplify]: Simplified to: 9.759 * * * [progress]: adding candidates to table 9.759 * [progress]: [Phase 3 of 3] Extracting. 9.759 * * [regime]: Finding splitpoints for: (# # #) 9.760 * * * [regime-changes]: Trying 2 branch expressions: (y x) 9.760 * * * * [regimes]: Trying to branch on y from (# # #) 9.829 * * * * [regimes]: Trying to branch on x from (# # #) 9.885 * * * [regime]: Found split indices: #