65.909 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.023 * [simplify]: Sending expressions to egg_math: (* (+ h1 h0) (+ h1 h0)) 0.028 * * [progress]: iteration 1 / 4 0.028 * * * [progress]: picking best candidate 0.029 * * * * [pick]: Picked # 0.029 * * * [progress]: localizing error 0.033 * * * [progress]: generating rewritten candidates 0.033 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.076 * * * [progress]: generating series expansions 0.076 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.076 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.076 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.076 * [taylor]: Taking taylor expansion of (+ x y) in y 0.076 * [taylor]: Taking taylor expansion of x in y 0.076 * [backup-simplify]: Simplify x into x 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [backup-simplify]: Simplify (+ x 0) into x 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (+ 0 y) into y 0.076 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.076 * [taylor]: Taking taylor expansion of (+ x y) in x 0.076 * [taylor]: Taking taylor expansion of x in x 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.076 * [taylor]: Taking taylor expansion of y in x 0.076 * [backup-simplify]: Simplify y into y 0.076 * [backup-simplify]: Simplify (+ 0 y) into y 0.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.076 * [backup-simplify]: Simplify 0 into 0 0.076 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (+ 1 0) into 1 0.077 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.077 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.077 * [taylor]: Taking taylor expansion of 2 in y 0.077 * [backup-simplify]: Simplify 2 into 2 0.077 * [taylor]: Taking taylor expansion of y in y 0.077 * [backup-simplify]: Simplify 0 into 0 0.077 * [backup-simplify]: Simplify 1 into 1 0.077 * [backup-simplify]: Simplify (* 2 0) into 0 0.077 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify (+ 0 0) into 0 0.078 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.078 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.078 * [backup-simplify]: Simplify 2 into 2 0.079 * [backup-simplify]: Simplify (* 1 1) into 1 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.079 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.079 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [backup-simplify]: Simplify (/ 1 1) into 1 0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [backup-simplify]: Simplify x into x 0.080 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.080 * [backup-simplify]: Simplify (+ 1 0) into 1 0.080 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [backup-simplify]: Simplify y into y 0.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (/ 1 1) into 1 0.080 * [backup-simplify]: Simplify (+ 0 1) into 1 0.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [backup-simplify]: Simplify y into y 0.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [backup-simplify]: Simplify 0 into 0 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (/ 1 1) into 1 0.081 * [backup-simplify]: Simplify (+ 0 1) into 1 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.082 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.082 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.082 * [taylor]: Taking taylor expansion of 2 in y 0.082 * [backup-simplify]: Simplify 2 into 2 0.082 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [backup-simplify]: Simplify 0 into 0 0.082 * [backup-simplify]: Simplify 1 into 1 0.082 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.083 * [backup-simplify]: Simplify (+ 0 0) into 0 0.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.084 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.084 * [backup-simplify]: Simplify 0 into 0 0.084 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (* 2 1) into 2 0.085 * [backup-simplify]: Simplify 2 into 2 0.085 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.085 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.085 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.085 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.085 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.085 * [backup-simplify]: Simplify 0 into 0 0.085 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.086 * [taylor]: Taking taylor expansion of x in y 0.086 * [backup-simplify]: Simplify x into x 0.086 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.086 * [backup-simplify]: Simplify (+ 1 0) into 1 0.086 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.086 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.086 * [taylor]: Taking taylor expansion of y in x 0.086 * [backup-simplify]: Simplify y into y 0.086 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.086 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.086 * [taylor]: Taking taylor expansion of x in x 0.086 * [backup-simplify]: Simplify 0 into 0 0.086 * [backup-simplify]: Simplify 1 into 1 0.086 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 0 1) into 1 0.087 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.087 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.087 * [taylor]: Taking taylor expansion of y in x 0.087 * [backup-simplify]: Simplify y into y 0.087 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.087 * [taylor]: Taking taylor expansion of x in x 0.087 * [backup-simplify]: Simplify 0 into 0 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify (+ 0 1) into 1 0.088 * [backup-simplify]: Simplify (* 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [backup-simplify]: Simplify 1 into 1 0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.088 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.088 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.088 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.088 * [taylor]: Taking taylor expansion of 2 in y 0.088 * [backup-simplify]: Simplify 2 into 2 0.088 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [backup-simplify]: Simplify 0 into 0 0.088 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.089 * [backup-simplify]: Simplify (+ 0 0) into 0 0.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [backup-simplify]: Simplify 0 into 0 0.090 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (* 2 1) into 2 0.091 * [backup-simplify]: Simplify 2 into 2 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.091 * * * [progress]: simplifying candidates 0.092 * [simplify]: Simplifying: (+ 1 1) (* (+ x y) (+ x y)) (+ 1 1) (+ (log (+ x y)) (log (+ x y))) (log (* (+ x y) (+ x y))) (exp (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (+ x y) (+ x y))) (cbrt (* (+ x y) (+ x y)))) (cbrt (* (+ x y) (+ x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (sqrt (* (+ x y) (+ x y))) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* 1 1) (* (+ x y) (+ x y)) (* (sqrt (+ x y)) (sqrt (+ x y))) (* (sqrt (+ x y)) (sqrt (+ x y))) (* 2 1) (* (+ x y) x) (* (+ x y) y) (* x (+ x y)) (* y (+ x y)) (* (+ x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (+ x y) (sqrt (+ x y))) (* (+ x y) 1) (* (+ x y) 1) (* (cbrt (+ x y)) (+ x y)) (* (sqrt (+ x y)) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.092 * [simplify]: Sending expressions to egg_math: (+ 1 1) (* (+ h1 h0) (+ h1 h0)) (+ 1 1) (+ (log (+ h1 h0)) (log (+ h1 h0))) (log (* (+ h1 h0) (+ h1 h0))) (exp (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (+ h1 h0) (+ h1 h0))) (cbrt (* (+ h1 h0) (+ h1 h0)))) (cbrt (* (+ h1 h0) (+ h1 h0))) (* (* (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0))) (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (sqrt (* (+ h1 h0) (+ h1 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (- h1 h0) (- h1 h0)) (* (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* 1 1) (* (+ h1 h0) (+ h1 h0)) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (+ h1 h0)) (sqrt (+ h1 h0))) (* 2 1) (* (+ h1 h0) h1) (* (+ h1 h0) h0) (* h1 (+ h1 h0)) (* h0 (+ h1 h0)) (* (+ h1 h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (+ h1 h0) (sqrt (+ h1 h0))) (* (+ h1 h0) 1) (* (+ h1 h0) 1) (* (cbrt (+ h1 h0)) (+ h1 h0)) (* (sqrt (+ h1 h0)) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ h1 h0)) (* (+ h1 h0) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (- (* h1 h1) (* h0 h0))) (* (+ (pow h1 3) (pow h0 3)) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 0.117 * * * [progress]: adding candidates to table 0.163 * * [progress]: iteration 2 / 4 0.163 * * * [progress]: picking best candidate 0.170 * * * * [pick]: Picked # 0.170 * * * [progress]: localizing error 0.178 * * * [progress]: generating rewritten candidates 0.178 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.208 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.227 * [backup-simplify]: Simplify (* x (+ (* y 2) x)) into (* x (+ x (* 2 y))) 0.227 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.227 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.227 * [taylor]: Taking taylor expansion of 2 in y 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.228 * [taylor]: Taking taylor expansion of 2 in x 0.228 * [backup-simplify]: Simplify 2 into 2 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.228 * [taylor]: Taking taylor expansion of 2 in x 0.228 * [backup-simplify]: Simplify 2 into 2 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.228 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.228 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 0.229 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.229 * [taylor]: Taking taylor expansion of 2 in y 0.229 * [backup-simplify]: Simplify 2 into 2 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 2 0) into 0 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.231 * [backup-simplify]: Simplify 2 into 2 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 0.236 * [backup-simplify]: Simplify (* (/ 1 x) (+ (* (/ 1 y) 2) (/ 1 x))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.236 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.236 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.236 * [taylor]: Taking taylor expansion of 2 in y 0.236 * [backup-simplify]: Simplify 2 into 2 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.237 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.237 * [taylor]: Taking taylor expansion of x in y 0.237 * [backup-simplify]: Simplify x into x 0.237 * [backup-simplify]: Simplify (* 2 1) into 2 0.237 * [backup-simplify]: Simplify (+ 2 0) into 2 0.237 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.237 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.237 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.237 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.237 * [taylor]: Taking taylor expansion of 2 in x 0.237 * [backup-simplify]: Simplify 2 into 2 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [backup-simplify]: Simplify y into y 0.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.237 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (+ 0 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.238 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [backup-simplify]: Simplify 2 into 2 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ 0 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of 1 in y 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.240 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.240 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.240 * [taylor]: Taking taylor expansion of 2 in y 0.240 * [backup-simplify]: Simplify 2 into 2 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (* 2 1) into 2 0.241 * [backup-simplify]: Simplify 2 into 2 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 0.251 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (* (/ 1 (- y)) 2) (/ 1 (- x)))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.251 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.251 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.251 * [taylor]: Taking taylor expansion of 2 in y 0.251 * [backup-simplify]: Simplify 2 into 2 0.251 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [backup-simplify]: Simplify x into x 0.251 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [backup-simplify]: Simplify x into x 0.252 * [backup-simplify]: Simplify (* 2 1) into 2 0.252 * [backup-simplify]: Simplify (+ 2 0) into 2 0.252 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.252 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.252 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.252 * [taylor]: Taking taylor expansion of 2 in x 0.252 * [backup-simplify]: Simplify 2 into 2 0.252 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.252 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ 0 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.253 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.253 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.253 * [taylor]: Taking taylor expansion of 2 in x 0.253 * [backup-simplify]: Simplify 2 into 2 0.253 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.253 * [taylor]: Taking taylor expansion of y in x 0.253 * [backup-simplify]: Simplify y into y 0.253 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.253 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (+ 0 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of 1 in y 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.255 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.255 * [taylor]: Taking taylor expansion of 2 in y 0.255 * [backup-simplify]: Simplify 2 into 2 0.255 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (* 2 1) into 2 0.256 * [backup-simplify]: Simplify 2 into 2 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in y 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.263 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 0.265 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.266 * [backup-simplify]: Simplify (+ (* x (+ (* y 2) x)) (pow y 2)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.266 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.266 * [taylor]: Taking taylor expansion of 2 in y 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (* x y) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.266 * [taylor]: Taking taylor expansion of 2 in x 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (* x y) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.266 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.266 * [taylor]: Taking taylor expansion of 2 in x 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [taylor]: Taking taylor expansion of (* x y) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.267 * [backup-simplify]: Simplify (* 0 y) into 0 0.267 * [backup-simplify]: Simplify (* 2 0) into 0 0.267 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.267 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.268 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.268 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.268 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.268 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.268 * [taylor]: Taking taylor expansion of 2 in y 0.268 * [backup-simplify]: Simplify 2 into 2 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 2 0) into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ 1 0) into 1 0.270 * [taylor]: Taking taylor expansion of 1 in y 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.271 * [backup-simplify]: Simplify 2 into 2 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.271 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (* (/ 1 y) 2) (/ 1 x))) (pow (/ 1 y) 2)) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.271 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [backup-simplify]: Simplify x into x 0.272 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.272 * [taylor]: Taking taylor expansion of 2 in y 0.272 * [backup-simplify]: Simplify 2 into 2 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.272 * [taylor]: Taking taylor expansion of (* x y) in y 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [backup-simplify]: Simplify x into x 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* x 0) into 0 0.273 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.273 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.273 * [taylor]: Taking taylor expansion of y in x 0.273 * [backup-simplify]: Simplify y into y 0.273 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.274 * [taylor]: Taking taylor expansion of 2 in x 0.274 * [backup-simplify]: Simplify 2 into 2 0.274 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.274 * [taylor]: Taking taylor expansion of (* x y) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [backup-simplify]: Simplify y into y 0.274 * [backup-simplify]: Simplify (* 0 y) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.274 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.275 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.275 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.275 * [taylor]: Taking taylor expansion of 2 in x 0.275 * [backup-simplify]: Simplify 2 into 2 0.275 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.275 * [taylor]: Taking taylor expansion of (* x y) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [backup-simplify]: Simplify y into y 0.275 * [backup-simplify]: Simplify (* 0 y) into 0 0.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.275 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.276 * [backup-simplify]: Simplify (+ 1 0) into 1 0.276 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.279 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.279 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.279 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.279 * [taylor]: Taking taylor expansion of 2 in y 0.279 * [backup-simplify]: Simplify 2 into 2 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.282 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.282 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (* 1 1) into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 2 1) into 2 0.283 * [backup-simplify]: Simplify 2 into 2 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.283 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (* (/ 1 (- y)) 2) (/ 1 (- x)))) (pow (/ 1 (- y)) 2)) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.283 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.284 * [taylor]: Taking taylor expansion of x in y 0.284 * [backup-simplify]: Simplify x into x 0.284 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.284 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.284 * [taylor]: Taking taylor expansion of 2 in y 0.284 * [backup-simplify]: Simplify 2 into 2 0.284 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.285 * [taylor]: Taking taylor expansion of (* x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [backup-simplify]: Simplify x into x 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* x 0) into 0 0.285 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.285 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.285 * [taylor]: Taking taylor expansion of x in x 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.286 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.286 * [taylor]: Taking taylor expansion of 2 in x 0.286 * [backup-simplify]: Simplify 2 into 2 0.286 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.286 * [taylor]: Taking taylor expansion of (* x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [backup-simplify]: Simplify y into y 0.286 * [backup-simplify]: Simplify (* 0 y) into 0 0.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.286 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (* 1 1) into 1 0.287 * [backup-simplify]: Simplify (/ 1 1) into 1 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.287 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.287 * [taylor]: Taking taylor expansion of 2 in x 0.287 * [backup-simplify]: Simplify 2 into 2 0.287 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [backup-simplify]: Simplify (* 0 y) into 0 0.288 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.288 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.288 * [backup-simplify]: Simplify (+ 1 0) into 1 0.288 * [taylor]: Taking taylor expansion of 1 in y 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.289 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.289 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.289 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.289 * [taylor]: Taking taylor expansion of 2 in y 0.289 * [backup-simplify]: Simplify 2 into 2 0.289 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.291 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.292 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (* 2 1) into 2 0.292 * [backup-simplify]: Simplify 2 into 2 0.292 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.293 * * * [progress]: simplifying candidates 0.294 * [simplify]: Simplifying: (* x (+ (* y 2) x)) (+ (log x) (log (+ (* y 2) x))) (log (* x (+ (* y 2) x))) (exp (* x (+ (* y 2) x))) (* (* (* x x) x) (* (* (+ (* y 2) x) (+ (* y 2) x)) (+ (* y 2) x))) (* (cbrt (* x (+ (* y 2) x))) (cbrt (* x (+ (* y 2) x)))) (cbrt (* x (+ (* y 2) x))) (* (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (sqrt (* x (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* (sqrt x) (sqrt (+ (* y 2) x))) (* x (* y 2)) (* x x) (* (* y 2) x) (* x x) (* x (* (cbrt (+ (* y 2) x)) (cbrt (+ (* y 2) x)))) (* x (sqrt (+ (* y 2) x))) (* x 1) (* (cbrt x) (+ (* y 2) x)) (* (sqrt x) (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* x (- (* (* y 2) (* y 2)) (* x x))) (* (exp (* x (+ (* y 2) x))) (exp (pow y 2))) (log (+ (* x (+ (* y 2) x)) (pow y 2))) (exp (+ (* x (+ (* y 2) x)) (pow y 2))) (* (cbrt (+ (* x (+ (* y 2) x)) (pow y 2))) (cbrt (+ (* x (+ (* y 2) x)) (pow y 2)))) (cbrt (+ (* x (+ (* y 2) x)) (pow y 2))) (* (* (+ (* x (+ (* y 2) x)) (pow y 2)) (+ (* x (+ (* y 2) x)) (pow y 2))) (+ (* x (+ (* y 2) x)) (pow y 2))) (sqrt (+ (* x (+ (* y 2) x)) (pow y 2))) (sqrt (+ (* x (+ (* y 2) x)) (pow y 2))) (+ (pow (* x (+ (* y 2) x)) 3) (pow (pow y 2) 3)) (+ (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (- (* (pow y 2) (pow y 2)) (* (* x (+ (* y 2) x)) (pow y 2)))) (- (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* (pow y 2) (pow y 2))) (- (* x (+ (* y 2) x)) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x x) (pow y 2)) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.294 * [simplify]: Sending expressions to egg_math: (* h0 (+ (* h1 2) h0)) (+ (log h0) (log (+ (* h1 2) h0))) (log (* h0 (+ (* h1 2) h0))) (exp (* h0 (+ (* h1 2) h0))) (* (* (* h0 h0) h0) (* (* (+ (* h1 2) h0) (+ (* h1 2) h0)) (+ (* h1 2) h0))) (* (cbrt (* h0 (+ (* h1 2) h0))) (cbrt (* h0 (+ (* h1 2) h0)))) (cbrt (* h0 (+ (* h1 2) h0))) (* (* (* h0 (+ (* h1 2) h0)) (* h0 (+ (* h1 2) h0))) (* h0 (+ (* h1 2) h0))) (sqrt (* h0 (+ (* h1 2) h0))) (sqrt (* h0 (+ (* h1 2) h0))) (* (sqrt h0) (sqrt (+ (* h1 2) h0))) (* (sqrt h0) (sqrt (+ (* h1 2) h0))) (* h0 (* h1 2)) (* h0 h0) (* (* h1 2) h0) (* h0 h0) (* h0 (* (cbrt (+ (* h1 2) h0)) (cbrt (+ (* h1 2) h0)))) (* h0 (sqrt (+ (* h1 2) h0))) (* h0 1) (* (cbrt h0) (+ (* h1 2) h0)) (* (sqrt h0) (+ (* h1 2) h0)) (* h0 (+ (* h1 2) h0)) (* h0 (+ (pow (* h1 2) 3) (pow h0 3))) (* h0 (- (* (* h1 2) (* h1 2)) (* h0 h0))) (* (exp (* h0 (+ (* h1 2) h0))) (exp (pow h1 2))) (log (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (exp (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (* (cbrt (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (cbrt (+ (* h0 (+ (* h1 2) h0)) (pow h1 2)))) (cbrt (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (* (* (+ (* h0 (+ (* h1 2) h0)) (pow h1 2)) (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (sqrt (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (sqrt (+ (* h0 (+ (* h1 2) h0)) (pow h1 2))) (+ (pow (* h0 (+ (* h1 2) h0)) 3) (pow (pow h1 2) 3)) (+ (* (* h0 (+ (* h1 2) h0)) (* h0 (+ (* h1 2) h0))) (- (* (pow h1 2) (pow h1 2)) (* (* h0 (+ (* h1 2) h0)) (pow h1 2)))) (- (* (* h0 (+ (* h1 2) h0)) (* h0 (+ (* h1 2) h0))) (* (pow h1 2) (pow h1 2))) (- (* h0 (+ (* h1 2) h0)) (pow h1 2)) (+ (* h0 h0) (pow h1 2)) (+ (* h0 h0) (pow h1 2)) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) (+ (pow h0 2) (+ (pow h1 2) (* 2 (* h0 h1)))) 0.379 * * * [progress]: adding candidates to table 0.454 * * [progress]: iteration 3 / 4 0.454 * * * [progress]: picking best candidate 0.463 * * * * [pick]: Picked # 0.463 * * * [progress]: localizing error 0.469 * * * [progress]: generating rewritten candidates 0.470 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.495 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.516 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.534 * * * [progress]: generating series expansions 0.534 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.534 * [backup-simplify]: Simplify (* y (+ x y)) into (* y (+ x y)) 0.534 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.534 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [backup-simplify]: Simplify y into y 0.534 * [taylor]: Taking taylor expansion of (+ x y) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of y in x 0.534 * [backup-simplify]: Simplify y into y 0.534 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (+ x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [backup-simplify]: Simplify x into x 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [taylor]: Taking taylor expansion of (+ x y) in y 0.534 * [taylor]: Taking taylor expansion of x in y 0.534 * [backup-simplify]: Simplify x into x 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (+ x 0) into x 0.534 * [backup-simplify]: Simplify (* 0 x) into 0 0.534 * [taylor]: Taking taylor expansion of 0 in x 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ 0 1) into 1 0.535 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 0.535 * [taylor]: Taking taylor expansion of x in x 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 0.536 * [taylor]: Taking taylor expansion of 1 in x 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 0.537 * [taylor]: Taking taylor expansion of 0 in x 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify 0 into 0 0.538 * [backup-simplify]: Simplify (+ 0 0) into 0 0.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 0.539 * [taylor]: Taking taylor expansion of 0 in x 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.539 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 0.540 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.540 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.540 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [backup-simplify]: Simplify y into y 0.540 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.540 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (/ 1 1) into 1 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [backup-simplify]: Simplify y into y 0.540 * [backup-simplify]: Simplify (+ 0 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.541 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.541 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.541 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.541 * [taylor]: Taking taylor expansion of x in y 0.541 * [backup-simplify]: Simplify x into x 0.541 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.541 * [taylor]: Taking taylor expansion of y in y 0.541 * [backup-simplify]: Simplify 0 into 0 0.541 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (+ 1 0) into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.542 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.542 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify 1 into 1 0.542 * [backup-simplify]: Simplify (/ 1 1) into 1 0.542 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.542 * [taylor]: Taking taylor expansion of x in y 0.542 * [backup-simplify]: Simplify x into x 0.542 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.542 * [taylor]: Taking taylor expansion of y in y 0.542 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (+ 1 0) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.543 * [taylor]: Taking taylor expansion of 1 in x 0.543 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.544 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.544 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify 1 into 1 0.544 * [backup-simplify]: Simplify 1 into 1 0.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.546 * [taylor]: Taking taylor expansion of 0 in x 0.546 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.547 * [backup-simplify]: Simplify (+ 0 0) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [taylor]: Taking taylor expansion of 0 in x 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in x 0.551 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 0.552 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.552 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.552 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [backup-simplify]: Simplify y into y 0.552 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [backup-simplify]: Simplify 0 into 0 0.552 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (/ 1 1) into 1 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [backup-simplify]: Simplify y into y 0.553 * [backup-simplify]: Simplify (+ 0 1) into 1 0.553 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.553 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.553 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.553 * [taylor]: Taking taylor expansion of y in y 0.553 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.556 * [backup-simplify]: Simplify x into x 0.556 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (+ 1 0) into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.556 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.556 * [taylor]: Taking taylor expansion of y in y 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify 1 into 1 0.556 * [backup-simplify]: Simplify (/ 1 1) into 1 0.556 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.556 * [taylor]: Taking taylor expansion of x in y 0.557 * [backup-simplify]: Simplify x into x 0.557 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.557 * [taylor]: Taking taylor expansion of y in y 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.557 * [backup-simplify]: Simplify (+ 1 0) into 1 0.557 * [backup-simplify]: Simplify (/ 1 1) into 1 0.557 * [taylor]: Taking taylor expansion of 1 in x 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.558 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.558 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [backup-simplify]: Simplify 0 into 0 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify 1 into 1 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.560 * [taylor]: Taking taylor expansion of 0 in x 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.561 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [taylor]: Taking taylor expansion of 0 in x 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.564 * [backup-simplify]: Simplify (+ 0 0) into 0 0.565 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.565 * [taylor]: Taking taylor expansion of 0 in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 0.566 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.566 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 0.566 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.566 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [backup-simplify]: Simplify x into x 0.566 * [taylor]: Taking taylor expansion of (+ x y) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [backup-simplify]: Simplify x into x 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (+ x y) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [backup-simplify]: Simplify y into y 0.566 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (+ x y) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [backup-simplify]: Simplify y into y 0.566 * [backup-simplify]: Simplify (+ 0 y) into y 0.566 * [backup-simplify]: Simplify (* 0 y) into 0 0.566 * [taylor]: Taking taylor expansion of 0 in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (+ 1 0) into 1 0.567 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 0.567 * [taylor]: Taking taylor expansion of y in y 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.568 * [taylor]: Taking taylor expansion of 1 in y 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify 1 into 1 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ 0 0) into 0 0.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.569 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.570 * [taylor]: Taking taylor expansion of 0 in y 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 0.571 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.571 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.571 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.571 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.571 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.571 * [taylor]: Taking taylor expansion of y in y 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [backup-simplify]: Simplify (/ 1 1) into 1 0.571 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [backup-simplify]: Simplify x into x 0.571 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.571 * [taylor]: Taking taylor expansion of x in y 0.571 * [backup-simplify]: Simplify x into x 0.572 * [backup-simplify]: Simplify (+ 1 0) into 1 0.572 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.572 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.572 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.572 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.572 * [taylor]: Taking taylor expansion of y in x 0.572 * [backup-simplify]: Simplify y into y 0.572 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.572 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.572 * [taylor]: Taking taylor expansion of x in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [taylor]: Taking taylor expansion of x in x 0.573 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (+ 0 1) into 1 0.573 * [backup-simplify]: Simplify (/ 1 1) into 1 0.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.573 * [taylor]: Taking taylor expansion of y in x 0.573 * [backup-simplify]: Simplify y into y 0.573 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.573 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.573 * [taylor]: Taking taylor expansion of x in x 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.574 * [taylor]: Taking taylor expansion of x in x 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (+ 0 1) into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [taylor]: Taking taylor expansion of 1 in y 0.575 * [backup-simplify]: Simplify 1 into 1 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.576 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (/ 1 1) into 1 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify 1 into 1 0.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.578 * [taylor]: Taking taylor expansion of 0 in y 0.578 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.580 * [backup-simplify]: Simplify (+ 0 0) into 0 0.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [taylor]: Taking taylor expansion of 0 in y 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.582 * [backup-simplify]: Simplify 0 into 0 0.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in y 0.585 * [backup-simplify]: Simplify 0 into 0 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 0.586 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.586 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.586 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.586 * [taylor]: Taking taylor expansion of y in y 0.586 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify 1 into 1 0.586 * [backup-simplify]: Simplify (/ 1 1) into 1 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [backup-simplify]: Simplify x into x 0.587 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.587 * [taylor]: Taking taylor expansion of x in y 0.587 * [backup-simplify]: Simplify x into x 0.587 * [backup-simplify]: Simplify (+ 1 0) into 1 0.587 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.587 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.587 * [backup-simplify]: Simplify y into y 0.587 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (+ 0 1) into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.588 * [taylor]: Taking taylor expansion of y in x 0.588 * [backup-simplify]: Simplify y into y 0.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (/ 1 1) into 1 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify (+ 0 1) into 1 0.590 * [backup-simplify]: Simplify (/ 1 1) into 1 0.590 * [taylor]: Taking taylor expansion of 1 in y 0.590 * [backup-simplify]: Simplify 1 into 1 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.591 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.591 * [backup-simplify]: Simplify 0 into 0 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (/ 1 1) into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify 1 into 1 0.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.593 * [taylor]: Taking taylor expansion of 0 in y 0.593 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 0.601 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.601 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.601 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.601 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.601 * [taylor]: Taking taylor expansion of x in y 0.601 * [backup-simplify]: Simplify x into x 0.601 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.602 * [taylor]: Taking taylor expansion of 2 in y 0.602 * [backup-simplify]: Simplify 2 into 2 0.602 * [taylor]: Taking taylor expansion of (* x y) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [backup-simplify]: Simplify x into x 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [backup-simplify]: Simplify y into y 0.602 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.602 * [taylor]: Taking taylor expansion of 2 in x 0.602 * [backup-simplify]: Simplify 2 into 2 0.602 * [taylor]: Taking taylor expansion of (* x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [backup-simplify]: Simplify y into y 0.602 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.602 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.602 * [taylor]: Taking taylor expansion of y in x 0.602 * [backup-simplify]: Simplify y into y 0.602 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.602 * [taylor]: Taking taylor expansion of 2 in x 0.602 * [backup-simplify]: Simplify 2 into 2 0.602 * [taylor]: Taking taylor expansion of (* x y) in x 0.602 * [taylor]: Taking taylor expansion of x in x 0.602 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [backup-simplify]: Simplify y into y 0.603 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.603 * [backup-simplify]: Simplify (* 0 y) into 0 0.603 * [backup-simplify]: Simplify (* 2 0) into 0 0.603 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.603 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.603 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.603 * [taylor]: Taking taylor expansion of y in y 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.604 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.604 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.604 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.604 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.604 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.604 * [taylor]: Taking taylor expansion of 2 in y 0.604 * [backup-simplify]: Simplify 2 into 2 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 2 0) into 0 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.606 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.607 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (+ 1 0) into 1 0.607 * [taylor]: Taking taylor expansion of 1 in y 0.607 * [backup-simplify]: Simplify 1 into 1 0.607 * [backup-simplify]: Simplify 1 into 1 0.608 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.608 * [backup-simplify]: Simplify 2 into 2 0.608 * [backup-simplify]: Simplify (* 1 1) into 1 0.608 * [backup-simplify]: Simplify 1 into 1 0.609 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.609 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) (* (/ 1 y) (+ (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.609 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.609 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.609 * [taylor]: Taking taylor expansion of x in y 0.609 * [backup-simplify]: Simplify x into x 0.609 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.609 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.609 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (* 1 1) into 1 0.610 * [backup-simplify]: Simplify (/ 1 1) into 1 0.610 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.610 * [taylor]: Taking taylor expansion of 2 in y 0.610 * [backup-simplify]: Simplify 2 into 2 0.610 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.610 * [taylor]: Taking taylor expansion of (* x y) in y 0.610 * [taylor]: Taking taylor expansion of x in y 0.610 * [backup-simplify]: Simplify x into x 0.610 * [taylor]: Taking taylor expansion of y in y 0.610 * [backup-simplify]: Simplify 0 into 0 0.610 * [backup-simplify]: Simplify 1 into 1 0.610 * [backup-simplify]: Simplify (* x 0) into 0 0.611 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.611 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.611 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.611 * [taylor]: Taking taylor expansion of x in x 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.612 * [backup-simplify]: Simplify (/ 1 1) into 1 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [backup-simplify]: Simplify y into y 0.612 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.612 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.612 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.612 * [taylor]: Taking taylor expansion of 2 in x 0.612 * [backup-simplify]: Simplify 2 into 2 0.612 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.612 * [taylor]: Taking taylor expansion of (* x y) in x 0.612 * [taylor]: Taking taylor expansion of x in x 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 1 into 1 0.612 * [taylor]: Taking taylor expansion of y in x 0.612 * [backup-simplify]: Simplify y into y 0.612 * [backup-simplify]: Simplify (* 0 y) into 0 0.612 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.613 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.613 * [backup-simplify]: Simplify (* 1 1) into 1 0.613 * [backup-simplify]: Simplify (/ 1 1) into 1 0.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.613 * [taylor]: Taking taylor expansion of y in x 0.613 * [backup-simplify]: Simplify y into y 0.614 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.614 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.614 * [taylor]: Taking taylor expansion of 2 in x 0.614 * [backup-simplify]: Simplify 2 into 2 0.614 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.614 * [taylor]: Taking taylor expansion of (* x y) in x 0.614 * [taylor]: Taking taylor expansion of x in x 0.614 * [backup-simplify]: Simplify 0 into 0 0.614 * [backup-simplify]: Simplify 1 into 1 0.614 * [taylor]: Taking taylor expansion of y in x 0.614 * [backup-simplify]: Simplify y into y 0.614 * [backup-simplify]: Simplify (* 0 y) into 0 0.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.614 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.615 * [backup-simplify]: Simplify (+ 1 0) into 1 0.615 * [taylor]: Taking taylor expansion of 1 in y 0.615 * [backup-simplify]: Simplify 1 into 1 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.616 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.616 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.616 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.616 * [taylor]: Taking taylor expansion of 2 in y 0.616 * [backup-simplify]: Simplify 2 into 2 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 1 into 1 0.616 * [backup-simplify]: Simplify (/ 1 1) into 1 0.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.618 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.619 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.619 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.619 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (/ 1 1) into 1 0.620 * [backup-simplify]: Simplify 1 into 1 0.620 * [backup-simplify]: Simplify (* 2 1) into 2 0.620 * [backup-simplify]: Simplify 2 into 2 0.620 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.621 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.621 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.621 * [taylor]: Taking taylor expansion of x in y 0.621 * [backup-simplify]: Simplify x into x 0.622 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.622 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.622 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.622 * [taylor]: Taking taylor expansion of y in y 0.622 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify 1 into 1 0.622 * [backup-simplify]: Simplify (* 1 1) into 1 0.622 * [backup-simplify]: Simplify (/ 1 1) into 1 0.622 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.622 * [taylor]: Taking taylor expansion of 2 in y 0.622 * [backup-simplify]: Simplify 2 into 2 0.622 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.622 * [taylor]: Taking taylor expansion of (* x y) in y 0.623 * [taylor]: Taking taylor expansion of x in y 0.623 * [backup-simplify]: Simplify x into x 0.623 * [taylor]: Taking taylor expansion of y in y 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (* x 0) into 0 0.623 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.623 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.623 * [taylor]: Taking taylor expansion of x in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 1 into 1 0.623 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.624 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.624 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.624 * [taylor]: Taking taylor expansion of 2 in x 0.624 * [backup-simplify]: Simplify 2 into 2 0.624 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.624 * [taylor]: Taking taylor expansion of (* x y) in x 0.624 * [taylor]: Taking taylor expansion of x in x 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [taylor]: Taking taylor expansion of y in x 0.624 * [backup-simplify]: Simplify y into y 0.624 * [backup-simplify]: Simplify (* 0 y) into 0 0.625 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.625 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.625 * [taylor]: Taking taylor expansion of x in x 0.625 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify 1 into 1 0.625 * [backup-simplify]: Simplify (* 1 1) into 1 0.625 * [backup-simplify]: Simplify (/ 1 1) into 1 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [backup-simplify]: Simplify y into y 0.626 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.626 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.626 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.626 * [taylor]: Taking taylor expansion of 2 in x 0.626 * [backup-simplify]: Simplify 2 into 2 0.626 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.626 * [taylor]: Taking taylor expansion of (* x y) in x 0.626 * [taylor]: Taking taylor expansion of x in x 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.626 * [taylor]: Taking taylor expansion of y in x 0.626 * [backup-simplify]: Simplify y into y 0.626 * [backup-simplify]: Simplify (* 0 y) into 0 0.626 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.627 * [backup-simplify]: Simplify (+ 1 0) into 1 0.627 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.628 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.628 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.628 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.628 * [taylor]: Taking taylor expansion of 2 in y 0.628 * [backup-simplify]: Simplify 2 into 2 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.628 * [taylor]: Taking taylor expansion of y in y 0.628 * [backup-simplify]: Simplify 0 into 0 0.628 * [backup-simplify]: Simplify 1 into 1 0.628 * [backup-simplify]: Simplify (/ 1 1) into 1 0.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.631 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.631 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.631 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.631 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.631 * [taylor]: Taking taylor expansion of y in y 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 1 1) into 1 0.632 * [backup-simplify]: Simplify (/ 1 1) into 1 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (* 2 1) into 2 0.632 * [backup-simplify]: Simplify 2 into 2 0.632 * [backup-simplify]: Simplify 1 into 1 0.633 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.633 * * * [progress]: simplifying candidates 0.634 * [simplify]: Simplifying: (* y (+ x y)) (+ (log y) (log (+ x y))) (log (* y (+ x y))) (exp (* y (+ x y))) (* (* (* y y) y) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* y (+ x y))) (cbrt (* y (+ x y)))) (cbrt (* y (+ x y))) (* (* (* y (+ x y)) (* y (+ x y))) (* y (+ x y))) (sqrt (* y (+ x y))) (sqrt (* y (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* (sqrt y) (sqrt (+ x y))) (* y x) (* y y) (* x y) (* y y) (* y (* (cbrt (+ x y)) (cbrt (+ x y)))) (* y (sqrt (+ x y))) (* y 1) (* y 1) (* (cbrt y) (+ x y)) (* (sqrt y) (+ x y)) (* y (+ x y)) (* y (+ (pow x 3) (pow y 3))) (* y (- (* x x) (* y y))) (* x (+ x y)) (+ (log x) (log (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (* (* x x) x) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* (sqrt x) (sqrt (+ x y))) (* x x) (* x y) (* x x) (* y x) (* x (* (cbrt (+ x y)) (cbrt (+ x y)))) (* x (sqrt (+ x y))) (* x 1) (* x 1) (* (cbrt x) (+ x y)) (* (sqrt x) (+ x y)) (* x (+ x y)) (* x (+ (pow x 3) (pow y 3))) (* x (- (* x x) (* y y))) (* (exp (* x (+ x y))) (exp (* y (+ x y)))) (log (+ (* x (+ x y)) (* y (+ x y)))) (exp (+ (* x (+ x y)) (* y (+ x y)))) (* (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (cbrt (+ (* x (+ x y)) (* y (+ x y))))) (cbrt (+ (* x (+ x y)) (* y (+ x y)))) (* (* (+ (* x (+ x y)) (* y (+ x y))) (+ (* x (+ x y)) (* y (+ x y)))) (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (sqrt (+ (* x (+ x y)) (* y (+ x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (- (* y y) (* x y))) (* y (+ (pow x 3) (pow y 3))))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (+ (pow x 3) (pow y 3))) (- x y)) (* (+ (* x x) (- (* y y) (* x y))) (* y (- (* x x) (* y y))))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (+ (* (* x (- (* x x) (* y y))) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (* y (+ (pow x 3) (pow y 3))))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (+ (* (* x (- (* x x) (* y y))) (- x y)) (* (- x y) (* y (- (* x x) (* y y))))) (* (- x y) (- x y)) (+ (pow (* x (+ x y)) 3) (pow (* y (+ x y)) 3)) (+ (* (* x (+ x y)) (* x (+ x y))) (- (* (* y (+ x y)) (* y (+ x y))) (* (* x (+ x y)) (* y (+ x y))))) (- (* (* x (+ x y)) (* x (+ x y))) (* (* y (+ x y)) (* y (+ x y)))) (- (* x (+ x y)) (* y (+ x y))) (+ x y) (+ (* x (+ x y)) (* y x)) (+ (* x (+ x y)) (* x y)) (+ (* x y) (* y (+ x y))) (+ (* y x) (* y (+ x y))) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.635 * [simplify]: Sending expressions to egg_math: (* h0 (+ h1 h0)) (+ (log h0) (log (+ h1 h0))) (log (* h0 (+ h1 h0))) (exp (* h0 (+ h1 h0))) (* (* (* h0 h0) h0) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h0 (+ h1 h0))) (cbrt (* h0 (+ h1 h0)))) (cbrt (* h0 (+ h1 h0))) (* (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (sqrt (* h0 (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* (sqrt h0) (sqrt (+ h1 h0))) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 h0) (* h0 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h0 (sqrt (+ h1 h0))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h1 h0)) (* (sqrt h0) (+ h1 h0)) (* h0 (+ h1 h0)) (* h0 (+ (pow h1 3) (pow h0 3))) (* h0 (- (* h1 h1) (* h0 h0))) (* h1 (+ h1 h0)) (+ (log h1) (log (+ h1 h0))) (log (* h1 (+ h1 h0))) (exp (* h1 (+ h1 h0))) (* (* (* h1 h1) h1) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* h1 (+ h1 h0))) (cbrt (* h1 (+ h1 h0)))) (cbrt (* h1 (+ h1 h0))) (* (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (sqrt (* h1 (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* (sqrt h1) (sqrt (+ h1 h0))) (* h1 h1) (* h1 h0) (* h1 h1) (* h0 h1) (* h1 (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* h1 (sqrt (+ h1 h0))) (* h1 1) (* h1 1) (* (cbrt h1) (+ h1 h0)) (* (sqrt h1) (+ h1 h0)) (* h1 (+ h1 h0)) (* h1 (+ (pow h1 3) (pow h0 3))) (* h1 (- (* h1 h1) (* h0 h0))) (* (exp (* h1 (+ h1 h0))) (exp (* h0 (+ h1 h0)))) (log (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (exp (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (cbrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (* (* (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (sqrt (+ (* h1 (+ h1 h0)) (* h0 (+ h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (+ (pow h1 3) (pow h0 3))) (- h1 h0)) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (* h0 (- (* h1 h1) (* h0 h0))))) (* (+ (* h1 h1) (- (* h0 h0) (* h1 h0))) (- h1 h0)) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- h1 h0) (* h0 (+ (pow h1 3) (pow h0 3))))) (* (- h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (+ (* (* h1 (- (* h1 h1) (* h0 h0))) (- h1 h0)) (* (- h1 h0) (* h0 (- (* h1 h1) (* h0 h0))))) (* (- h1 h0) (- h1 h0)) (+ (pow (* h1 (+ h1 h0)) 3) (pow (* h0 (+ h1 h0)) 3)) (+ (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (- (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0))) (* (* h1 (+ h1 h0)) (* h0 (+ h1 h0))))) (- (* (* h1 (+ h1 h0)) (* h1 (+ h1 h0))) (* (* h0 (+ h1 h0)) (* h0 (+ h1 h0)))) (- (* h1 (+ h1 h0)) (* h0 (+ h1 h0))) (+ h1 h0) (+ (* h1 (+ h1 h0)) (* h0 h1)) (+ (* h1 (+ h1 h0)) (* h1 h0)) (+ (* h1 h0) (* h0 (+ h1 h0))) (+ (* h0 h1) (* h0 (+ h1 h0))) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h0 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (* h1 h0)) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 0.680 * * * [progress]: adding candidates to table 0.856 * * [progress]: iteration 4 / 4 0.856 * * * [progress]: picking best candidate 0.864 * * * * [pick]: Picked # 0.864 * * * [progress]: localizing error 0.879 * * * [progress]: generating rewritten candidates 0.879 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 0.904 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.924 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.985 * * * [progress]: generating series expansions 0.985 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 0.985 * [backup-simplify]: Simplify (* 2 (* x y)) into (* 2 (* x y)) 0.985 * [approximate]: Taking taylor expansion of (* 2 (* x y)) in (x y) around 0 0.985 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.985 * [taylor]: Taking taylor expansion of 2 in y 0.985 * [backup-simplify]: Simplify 2 into 2 0.985 * [taylor]: Taking taylor expansion of (* x y) in y 0.985 * [taylor]: Taking taylor expansion of x in y 0.985 * [backup-simplify]: Simplify x into x 0.985 * [taylor]: Taking taylor expansion of y in y 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [backup-simplify]: Simplify 2 into 2 0.985 * [taylor]: Taking taylor expansion of (* x y) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [backup-simplify]: Simplify y into y 0.985 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.985 * [taylor]: Taking taylor expansion of 2 in x 0.985 * [backup-simplify]: Simplify 2 into 2 0.985 * [taylor]: Taking taylor expansion of (* x y) in x 0.985 * [taylor]: Taking taylor expansion of x in x 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * [taylor]: Taking taylor expansion of y in x 0.985 * [backup-simplify]: Simplify y into y 0.985 * [backup-simplify]: Simplify (* 0 y) into 0 0.986 * [backup-simplify]: Simplify (* 2 0) into 0 0.986 * [taylor]: Taking taylor expansion of 0 in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.987 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.987 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.987 * [taylor]: Taking taylor expansion of 2 in y 0.987 * [backup-simplify]: Simplify 2 into 2 0.987 * [taylor]: Taking taylor expansion of y in y 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [backup-simplify]: Simplify (* 2 0) into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.989 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.989 * [taylor]: Taking taylor expansion of 0 in y 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.989 * [backup-simplify]: Simplify 2 into 2 0.989 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.991 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.991 * [taylor]: Taking taylor expansion of 0 in y 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 0 into 0 0.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.995 * [taylor]: Taking taylor expansion of 0 in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (* 2 (* y x)) into (* 2 (* x y)) 0.995 * [backup-simplify]: Simplify (* 2 (* (/ 1 x) (/ 1 y))) into (/ 2 (* x y)) 0.995 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 0.995 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 0.995 * [taylor]: Taking taylor expansion of 2 in y 0.995 * [backup-simplify]: Simplify 2 into 2 0.995 * [taylor]: Taking taylor expansion of (* x y) in y 0.995 * [taylor]: Taking taylor expansion of x in y 0.995 * [backup-simplify]: Simplify x into x 0.995 * [taylor]: Taking taylor expansion of y in y 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 1 into 1 0.995 * [backup-simplify]: Simplify (* x 0) into 0 0.996 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.996 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.996 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.996 * [taylor]: Taking taylor expansion of 2 in x 0.996 * [backup-simplify]: Simplify 2 into 2 0.996 * [taylor]: Taking taylor expansion of (* x y) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [backup-simplify]: Simplify y into y 0.996 * [backup-simplify]: Simplify (* 0 y) into 0 0.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.996 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.996 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 0.996 * [taylor]: Taking taylor expansion of 2 in x 0.996 * [backup-simplify]: Simplify 2 into 2 0.996 * [taylor]: Taking taylor expansion of (* x y) in x 0.996 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [taylor]: Taking taylor expansion of y in x 0.996 * [backup-simplify]: Simplify y into y 0.997 * [backup-simplify]: Simplify (* 0 y) into 0 0.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.997 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 0.997 * [taylor]: Taking taylor expansion of (/ 2 y) in y 0.997 * [taylor]: Taking taylor expansion of 2 in y 0.997 * [backup-simplify]: Simplify 2 into 2 0.997 * [taylor]: Taking taylor expansion of y in y 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ 2 1) into 2 0.998 * [backup-simplify]: Simplify 2 into 2 0.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.998 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 0.999 * [taylor]: Taking taylor expansion of 0 in y 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify 0 into 0 1.000 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.000 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.000 * [taylor]: Taking taylor expansion of 0 in y 1.000 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.003 * [taylor]: Taking taylor expansion of 0 in y 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) into (* 2 (* x y)) 1.004 * [backup-simplify]: Simplify (* 2 (* (/ 1 (- x)) (/ 1 (- y)))) into (/ 2 (* x y)) 1.005 * [approximate]: Taking taylor expansion of (/ 2 (* x y)) in (x y) around 0 1.005 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in y 1.005 * [taylor]: Taking taylor expansion of 2 in y 1.005 * [backup-simplify]: Simplify 2 into 2 1.005 * [taylor]: Taking taylor expansion of (* x y) in y 1.005 * [taylor]: Taking taylor expansion of x in y 1.005 * [backup-simplify]: Simplify x into x 1.005 * [taylor]: Taking taylor expansion of y in y 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* x 0) into 0 1.005 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.005 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 1.005 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 1.005 * [taylor]: Taking taylor expansion of 2 in x 1.005 * [backup-simplify]: Simplify 2 into 2 1.005 * [taylor]: Taking taylor expansion of (* x y) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [taylor]: Taking taylor expansion of y in x 1.005 * [backup-simplify]: Simplify y into y 1.005 * [backup-simplify]: Simplify (* 0 y) into 0 1.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.006 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.006 * [taylor]: Taking taylor expansion of (/ 2 (* x y)) in x 1.006 * [taylor]: Taking taylor expansion of 2 in x 1.006 * [backup-simplify]: Simplify 2 into 2 1.006 * [taylor]: Taking taylor expansion of (* x y) in x 1.006 * [taylor]: Taking taylor expansion of x in x 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 1 into 1 1.006 * [taylor]: Taking taylor expansion of y in x 1.006 * [backup-simplify]: Simplify y into y 1.006 * [backup-simplify]: Simplify (* 0 y) into 0 1.006 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.007 * [backup-simplify]: Simplify (/ 2 y) into (/ 2 y) 1.007 * [taylor]: Taking taylor expansion of (/ 2 y) in y 1.007 * [taylor]: Taking taylor expansion of 2 in y 1.007 * [backup-simplify]: Simplify 2 into 2 1.007 * [taylor]: Taking taylor expansion of y in y 1.007 * [backup-simplify]: Simplify 0 into 0 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (/ 2 1) into 2 1.007 * [backup-simplify]: Simplify 2 into 2 1.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)))) into 0 1.008 * [taylor]: Taking taylor expansion of 0 in y 1.008 * [backup-simplify]: Simplify 0 into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.012 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 2 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.012 * [taylor]: Taking taylor expansion of 0 in y 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.012 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) into (* 2 (* x y)) 1.013 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 1.014 * [backup-simplify]: Simplify (+ (pow y 2) (* 2 (* x y))) into (+ (pow y 2) (* 2 (* x y))) 1.014 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in (y x) around 0 1.014 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.014 * [taylor]: Taking taylor expansion of y in x 1.014 * [backup-simplify]: Simplify y into y 1.014 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.014 * [taylor]: Taking taylor expansion of 2 in x 1.014 * [backup-simplify]: Simplify 2 into 2 1.014 * [taylor]: Taking taylor expansion of (* x y) in x 1.014 * [taylor]: Taking taylor expansion of x in x 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of y in x 1.014 * [backup-simplify]: Simplify y into y 1.014 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.014 * [taylor]: Taking taylor expansion of 2 in y 1.014 * [backup-simplify]: Simplify 2 into 2 1.014 * [taylor]: Taking taylor expansion of (* x y) in y 1.014 * [taylor]: Taking taylor expansion of x in y 1.014 * [backup-simplify]: Simplify x into x 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.015 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.015 * [taylor]: Taking taylor expansion of 2 in y 1.015 * [backup-simplify]: Simplify 2 into 2 1.015 * [taylor]: Taking taylor expansion of (* x y) in y 1.015 * [taylor]: Taking taylor expansion of x in y 1.015 * [backup-simplify]: Simplify x into x 1.015 * [taylor]: Taking taylor expansion of y in y 1.015 * [backup-simplify]: Simplify 0 into 0 1.015 * [backup-simplify]: Simplify 1 into 1 1.015 * [backup-simplify]: Simplify (* x 0) into 0 1.015 * [backup-simplify]: Simplify (* 2 0) into 0 1.015 * [backup-simplify]: Simplify (+ 0 0) into 0 1.016 * [taylor]: Taking taylor expansion of 0 in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.016 * [backup-simplify]: Simplify (+ (* 2 x) (* 0 0)) into (* 2 x) 1.016 * [backup-simplify]: Simplify (+ 0 (* 2 x)) into (* 2 x) 1.016 * [taylor]: Taking taylor expansion of (* 2 x) in x 1.016 * [taylor]: Taking taylor expansion of 2 in x 1.016 * [backup-simplify]: Simplify 2 into 2 1.016 * [taylor]: Taking taylor expansion of x in x 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 1 into 1 1.017 * [backup-simplify]: Simplify (* 2 0) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (* 1 1) into 1 1.018 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 x) (* 0 0))) into 0 1.019 * [backup-simplify]: Simplify (+ 1 0) into 1 1.019 * [taylor]: Taking taylor expansion of 1 in x 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify 1 into 1 1.019 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.019 * [backup-simplify]: Simplify 2 into 2 1.019 * [backup-simplify]: Simplify 0 into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.021 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in x 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.024 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.025 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 1.026 * [backup-simplify]: Simplify (+ 0 0) into 0 1.026 * [taylor]: Taking taylor expansion of 0 in x 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify (+ (* 2 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2 (* x y))) 1.026 * [backup-simplify]: Simplify (+ (pow (/ 1 y) 2) (* 2 (* (/ 1 x) (/ 1 y)))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 1.026 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 1.026 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.026 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.026 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.026 * [taylor]: Taking taylor expansion of y in x 1.026 * [backup-simplify]: Simplify y into y 1.026 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.027 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.027 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.027 * [taylor]: Taking taylor expansion of 2 in x 1.027 * [backup-simplify]: Simplify 2 into 2 1.027 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.027 * [taylor]: Taking taylor expansion of (* x y) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [backup-simplify]: Simplify y into y 1.027 * [backup-simplify]: Simplify (* 0 y) into 0 1.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.027 * [taylor]: Taking taylor expansion of y in y 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* 1 1) into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.028 * [taylor]: Taking taylor expansion of 2 in y 1.028 * [backup-simplify]: Simplify 2 into 2 1.028 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.028 * [taylor]: Taking taylor expansion of (* x y) in y 1.028 * [taylor]: Taking taylor expansion of x in y 1.028 * [backup-simplify]: Simplify x into x 1.028 * [taylor]: Taking taylor expansion of y in y 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (* x 0) into 0 1.028 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.029 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.029 * [taylor]: Taking taylor expansion of y in y 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (* 1 1) into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.029 * [taylor]: Taking taylor expansion of 2 in y 1.029 * [backup-simplify]: Simplify 2 into 2 1.029 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.029 * [taylor]: Taking taylor expansion of (* x y) in y 1.029 * [taylor]: Taking taylor expansion of x in y 1.030 * [backup-simplify]: Simplify x into x 1.030 * [taylor]: Taking taylor expansion of y in y 1.030 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (* x 0) into 0 1.030 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.030 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.030 * [backup-simplify]: Simplify (+ 1 0) into 1 1.030 * [taylor]: Taking taylor expansion of 1 in x 1.030 * [backup-simplify]: Simplify 1 into 1 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.032 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.032 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of 2 in x 1.032 * [backup-simplify]: Simplify 2 into 2 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [backup-simplify]: Simplify (* 2 1) into 2 1.032 * [backup-simplify]: Simplify 2 into 2 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.034 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.035 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [taylor]: Taking taylor expansion of 0 in x 1.035 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.036 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.036 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify 0 into 0 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.039 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.040 * [backup-simplify]: Simplify (+ 0 0) into 0 1.040 * [taylor]: Taking taylor expansion of 0 in x 1.040 * [backup-simplify]: Simplify 0 into 0 1.040 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.041 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.048 * [backup-simplify]: Simplify (+ 0 0) into 0 1.048 * [taylor]: Taking taylor expansion of 0 in x 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.049 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2 (* x y))) 1.049 * [backup-simplify]: Simplify (+ (pow (/ 1 (- y)) 2) (* 2 (* (/ 1 (- x)) (/ 1 (- y))))) into (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) 1.049 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in (y x) around 0 1.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.049 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.049 * [taylor]: Taking taylor expansion of y in x 1.049 * [backup-simplify]: Simplify y into y 1.049 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.050 * [taylor]: Taking taylor expansion of 2 in x 1.050 * [backup-simplify]: Simplify 2 into 2 1.050 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.050 * [taylor]: Taking taylor expansion of (* x y) in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 1 into 1 1.050 * [taylor]: Taking taylor expansion of y in x 1.050 * [backup-simplify]: Simplify y into y 1.050 * [backup-simplify]: Simplify (* 0 y) into 0 1.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.050 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.050 * [taylor]: Taking taylor expansion of y in y 1.050 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (* 1 1) into 1 1.051 * [backup-simplify]: Simplify (/ 1 1) into 1 1.051 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.051 * [taylor]: Taking taylor expansion of 2 in y 1.051 * [backup-simplify]: Simplify 2 into 2 1.051 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.051 * [taylor]: Taking taylor expansion of (* x y) in y 1.051 * [taylor]: Taking taylor expansion of x in y 1.051 * [backup-simplify]: Simplify x into x 1.051 * [taylor]: Taking taylor expansion of y in y 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.051 * [backup-simplify]: Simplify (* x 0) into 0 1.052 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.052 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.052 * [taylor]: Taking taylor expansion of y in y 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (* 1 1) into 1 1.053 * [backup-simplify]: Simplify (/ 1 1) into 1 1.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.053 * [taylor]: Taking taylor expansion of 2 in y 1.053 * [backup-simplify]: Simplify 2 into 2 1.053 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.053 * [taylor]: Taking taylor expansion of (* x y) in y 1.053 * [taylor]: Taking taylor expansion of x in y 1.053 * [backup-simplify]: Simplify x into x 1.053 * [taylor]: Taking taylor expansion of y in y 1.053 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify 1 into 1 1.053 * [backup-simplify]: Simplify (* x 0) into 0 1.053 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.053 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.054 * [backup-simplify]: Simplify (+ 1 0) into 1 1.054 * [taylor]: Taking taylor expansion of 1 in x 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (* 2 (/ 1 x)) into (/ 2 x) 1.055 * [backup-simplify]: Simplify (+ 0 (/ 2 x)) into (* 2 (/ 1 x)) 1.055 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 1.055 * [taylor]: Taking taylor expansion of 2 in x 1.055 * [backup-simplify]: Simplify 2 into 2 1.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.055 * [taylor]: Taking taylor expansion of x in x 1.055 * [backup-simplify]: Simplify 0 into 0 1.055 * [backup-simplify]: Simplify 1 into 1 1.055 * [backup-simplify]: Simplify (/ 1 1) into 1 1.056 * [backup-simplify]: Simplify (* 2 1) into 2 1.056 * [backup-simplify]: Simplify 2 into 2 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.058 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 x))) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [taylor]: Taking taylor expansion of 0 in x 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.062 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.063 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [taylor]: Taking taylor expansion of 0 in x 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.065 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.068 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [taylor]: Taking taylor expansion of 0 in x 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2 (* x y))) 1.069 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.070 * [backup-simplify]: Simplify (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.070 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 1.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [backup-simplify]: Simplify x into x 1.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.070 * [taylor]: Taking taylor expansion of y in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 1.070 * [taylor]: Taking taylor expansion of 2 in y 1.070 * [backup-simplify]: Simplify 2 into 2 1.070 * [taylor]: Taking taylor expansion of (* x y) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [backup-simplify]: Simplify x into x 1.070 * [taylor]: Taking taylor expansion of y in y 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [backup-simplify]: Simplify y into y 1.070 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.070 * [taylor]: Taking taylor expansion of 2 in x 1.070 * [backup-simplify]: Simplify 2 into 2 1.070 * [taylor]: Taking taylor expansion of (* x y) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [backup-simplify]: Simplify y into y 1.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 1.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [backup-simplify]: Simplify y into y 1.071 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 1.071 * [taylor]: Taking taylor expansion of 2 in x 1.071 * [backup-simplify]: Simplify 2 into 2 1.071 * [taylor]: Taking taylor expansion of (* x y) in x 1.071 * [taylor]: Taking taylor expansion of x in x 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [taylor]: Taking taylor expansion of y in x 1.071 * [backup-simplify]: Simplify y into y 1.071 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.071 * [backup-simplify]: Simplify (* 0 y) into 0 1.071 * [backup-simplify]: Simplify (* 2 0) into 0 1.071 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 1.072 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.073 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 1.073 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.073 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.073 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.073 * [taylor]: Taking taylor expansion of 2 in y 1.073 * [backup-simplify]: Simplify 2 into 2 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (* 2 0) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 1.075 * [backup-simplify]: Simplify (+ 0 0) into 0 1.076 * [backup-simplify]: Simplify (+ 1 0) into 1 1.076 * [taylor]: Taking taylor expansion of 1 in y 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.076 * [backup-simplify]: Simplify 2 into 2 1.077 * [backup-simplify]: Simplify (* 1 1) into 1 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.078 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (+ (pow (/ 1 y) 2) (* 2 (* (/ 1 x) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.078 * [taylor]: Taking taylor expansion of x in y 1.078 * [backup-simplify]: Simplify x into x 1.078 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (* 1 1) into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.079 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.079 * [taylor]: Taking taylor expansion of 2 in y 1.079 * [backup-simplify]: Simplify 2 into 2 1.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.079 * [taylor]: Taking taylor expansion of (* x y) in y 1.079 * [taylor]: Taking taylor expansion of x in y 1.079 * [backup-simplify]: Simplify x into x 1.079 * [taylor]: Taking taylor expansion of y in y 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (* x 0) into 0 1.079 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.079 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.080 * [taylor]: Taking taylor expansion of y in x 1.080 * [backup-simplify]: Simplify y into y 1.080 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.081 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.081 * [taylor]: Taking taylor expansion of 2 in x 1.081 * [backup-simplify]: Simplify 2 into 2 1.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.081 * [taylor]: Taking taylor expansion of (* x y) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of y in x 1.081 * [backup-simplify]: Simplify y into y 1.081 * [backup-simplify]: Simplify (* 0 y) into 0 1.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.081 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.081 * [taylor]: Taking taylor expansion of x in x 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (* 1 1) into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.082 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.082 * [taylor]: Taking taylor expansion of 2 in x 1.082 * [backup-simplify]: Simplify 2 into 2 1.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.082 * [taylor]: Taking taylor expansion of (* x y) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (* 0 y) into 0 1.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.083 * [backup-simplify]: Simplify (+ 1 0) into 1 1.083 * [taylor]: Taking taylor expansion of 1 in y 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.085 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.085 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.085 * [taylor]: Taking taylor expansion of 2 in y 1.085 * [backup-simplify]: Simplify 2 into 2 1.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.088 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.088 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.088 * [taylor]: Taking taylor expansion of y in y 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1 1) into 1 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 2 1) into 2 1.089 * [backup-simplify]: Simplify 2 into 2 1.089 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.090 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (+ (pow (/ 1 (- y)) 2) (* 2 (* (/ 1 (- x)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 1.090 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.090 * [taylor]: Taking taylor expansion of x in y 1.090 * [backup-simplify]: Simplify x into x 1.090 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.090 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (* 1 1) into 1 1.091 * [backup-simplify]: Simplify (/ 1 1) into 1 1.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 1.091 * [taylor]: Taking taylor expansion of 2 in y 1.091 * [backup-simplify]: Simplify 2 into 2 1.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.091 * [taylor]: Taking taylor expansion of (* x y) in y 1.091 * [taylor]: Taking taylor expansion of x in y 1.091 * [backup-simplify]: Simplify x into x 1.091 * [taylor]: Taking taylor expansion of y in y 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* x 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.092 * [taylor]: Taking taylor expansion of x in x 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [backup-simplify]: Simplify y into y 1.093 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.093 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.093 * [taylor]: Taking taylor expansion of 2 in x 1.093 * [backup-simplify]: Simplify 2 into 2 1.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.093 * [taylor]: Taking taylor expansion of (* x y) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [backup-simplify]: Simplify y into y 1.093 * [backup-simplify]: Simplify (* 0 y) into 0 1.094 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (* 1 1) into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.095 * [taylor]: Taking taylor expansion of y in x 1.095 * [backup-simplify]: Simplify y into y 1.095 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.095 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 1.095 * [taylor]: Taking taylor expansion of 2 in x 1.095 * [backup-simplify]: Simplify 2 into 2 1.095 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.095 * [taylor]: Taking taylor expansion of (* x y) in x 1.095 * [taylor]: Taking taylor expansion of x in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [taylor]: Taking taylor expansion of y in x 1.095 * [backup-simplify]: Simplify y into y 1.095 * [backup-simplify]: Simplify (* 0 y) into 0 1.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.095 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.096 * [backup-simplify]: Simplify (+ 1 0) into 1 1.096 * [taylor]: Taking taylor expansion of 1 in y 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.097 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.097 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 1.097 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.097 * [taylor]: Taking taylor expansion of 2 in y 1.097 * [backup-simplify]: Simplify 2 into 2 1.097 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.097 * [taylor]: Taking taylor expansion of y in y 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (/ 1 1) into 1 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.100 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 1.100 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.100 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.101 * [taylor]: Taking taylor expansion of y in y 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (* 1 1) into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (* 2 1) into 2 1.102 * [backup-simplify]: Simplify 2 into 2 1.102 * [backup-simplify]: Simplify 1 into 1 1.102 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.102 * * * [progress]: simplifying candidates 1.103 * [simplify]: Simplifying: (* 2 (* x y)) (* 2 (* x y)) (+ (log 2) (+ (log x) (log y))) (+ (log 2) (log (* x y))) (log (* 2 (* x y))) (exp (* 2 (* x y))) (* (* (* 2 2) 2) (* (* (* x x) x) (* (* y y) y))) (* (* (* 2 2) 2) (* (* (* x y) (* x y)) (* x y))) (* (cbrt (* 2 (* x y))) (cbrt (* 2 (* x y)))) (cbrt (* 2 (* x y))) (* (* (* 2 (* x y)) (* 2 (* x y))) (* 2 (* x y))) (sqrt (* 2 (* x y))) (sqrt (* 2 (* x y))) (* 2 x) (* (cbrt 2) (* x y)) (* (sqrt 2) (* x y)) (* 2 (* x y)) (* (exp (pow y 2)) (exp (* 2 (* x y)))) (log (+ (pow y 2) (* 2 (* x y)))) (exp (+ (pow y 2) (* 2 (* x y)))) (* (cbrt (+ (pow y 2) (* 2 (* x y)))) (cbrt (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow y 2) (* 2 (* x y)))) (* (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (sqrt (+ (pow y 2) (* 2 (* x y)))) (+ (pow (pow y 2) 3) (pow (* 2 (* x y)) 3)) (+ (* (pow y 2) (pow y 2)) (- (* (* 2 (* x y)) (* 2 (* x y))) (* (pow y 2) (* 2 (* x y))))) (- (* (pow y 2) (pow y 2)) (* (* 2 (* x y)) (* 2 (* x y)))) (- (pow y 2) (* 2 (* x y))) (* (exp (pow x 2)) (* (exp (pow y 2)) (exp (* 2 (* x y))))) (* (exp (pow x 2)) (exp (+ (pow y 2) (* 2 (* x y))))) (log (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (exp (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (cbrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (* (* (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (sqrt (+ (pow x 2) (+ (pow y 2) (* 2 (* x y))))) (+ (pow (pow x 2) 3) (pow (+ (pow y 2) (* 2 (* x y))) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y)))) (* (pow x 2) (+ (pow y 2) (* 2 (* x y)))))) (- (* (pow x 2) (pow x 2)) (* (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))))) (- (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (pow y 2)) (* 2 (* x y)) (* 2 (* x y)) (* 2 (* x y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 1.104 * [simplify]: Sending expressions to egg_math: (* 2 (* h1 h0)) (* 2 (* h1 h0)) (+ (log 2) (+ (log h1) (log h0))) (+ (log 2) (log (* h1 h0))) (log (* 2 (* h1 h0))) (exp (* 2 (* h1 h0))) (* (* (* 2 2) 2) (* (* (* h1 h1) h1) (* (* h0 h0) h0))) (* (* (* 2 2) 2) (* (* (* h1 h0) (* h1 h0)) (* h1 h0))) (* (cbrt (* 2 (* h1 h0))) (cbrt (* 2 (* h1 h0)))) (cbrt (* 2 (* h1 h0))) (* (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (sqrt (* 2 (* h1 h0))) (* 2 h1) (* (cbrt 2) (* h1 h0)) (* (sqrt 2) (* h1 h0)) (* 2 (* h1 h0)) (* (exp (pow h0 2)) (exp (* 2 (* h1 h0)))) (log (+ (pow h0 2) (* 2 (* h1 h0)))) (exp (+ (pow h0 2) (* 2 (* h1 h0)))) (* (cbrt (+ (pow h0 2) (* 2 (* h1 h0)))) (cbrt (+ (pow h0 2) (* 2 (* h1 h0))))) (cbrt (+ (pow h0 2) (* 2 (* h1 h0)))) (* (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h0 2) (* 2 (* h1 h0)))) (sqrt (+ (pow h0 2) (* 2 (* h1 h0)))) (sqrt (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow (pow h0 2) 3) (pow (* 2 (* h1 h0)) 3)) (+ (* (pow h0 2) (pow h0 2)) (- (* (* 2 (* h1 h0)) (* 2 (* h1 h0))) (* (pow h0 2) (* 2 (* h1 h0))))) (- (* (pow h0 2) (pow h0 2)) (* (* 2 (* h1 h0)) (* 2 (* h1 h0)))) (- (pow h0 2) (* 2 (* h1 h0))) (* (exp (pow h1 2)) (* (exp (pow h0 2)) (exp (* 2 (* h1 h0))))) (* (exp (pow h1 2)) (exp (+ (pow h0 2) (* 2 (* h1 h0))))) (log (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (exp (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (* (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))))) (cbrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (* (* (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (sqrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (sqrt (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0))))) (+ (pow (pow h1 2) 3) (pow (+ (pow h0 2) (* 2 (* h1 h0))) 3)) (+ (* (pow h1 2) (pow h1 2)) (- (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0)))) (* (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))))) (- (* (pow h1 2) (pow h1 2)) (* (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))))) (- (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (pow h0 2)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (* 2 (* h1 h0)) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h0 2) (* 2 (* h1 h0))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) (+ (pow h1 2) (+ (pow h0 2) (* 2 (* h1 h0)))) 1.235 * * * [progress]: adding candidates to table 1.392 * [progress]: [Phase 3 of 3] Extracting. 1.392 * * [regime]: Finding splitpoints for: (# # #) 1.393 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.393 * * * * [regimes]: Trying to branch on y from (# # #) 1.415 * * * * [regimes]: Trying to branch on x from (# # #) 1.441 * * * [regime]: Found split indices: #