18.164 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.019 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (* (+ x y) (+ x y)) 0.020 * [simplify]: Sending expressions to egg_math: (* (+ h0 h1) (+ h0 h1)) 0.022 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.024 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.026 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.027 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.029 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.031 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.033 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.035 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.036 * * [progress]: iteration 1 / 4 0.036 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.041 * * * [progress]: generating rewritten candidates 0.041 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.078 * * * [progress]: generating series expansions 0.078 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.078 * [backup-simplify]: Simplify (* (+ x y) (+ x y)) into (pow (+ x y) 2) 0.078 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.078 * [taylor]: Taking taylor expansion of (+ x y) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [backup-simplify]: Simplify x into x 0.078 * [taylor]: Taking taylor expansion of y in y 0.078 * [backup-simplify]: Simplify 0 into 0 0.078 * [backup-simplify]: Simplify 1 into 1 0.078 * [backup-simplify]: Simplify (+ x 0) into x 0.079 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.079 * [taylor]: Taking taylor expansion of (+ x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (+ 0 y) into y 0.079 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.079 * [taylor]: Taking taylor expansion of (+ x y) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.079 * [backup-simplify]: Simplify 0 into 0 0.079 * [backup-simplify]: Simplify 1 into 1 0.079 * [taylor]: Taking taylor expansion of y in x 0.079 * [backup-simplify]: Simplify y into y 0.079 * [backup-simplify]: Simplify (+ 0 y) into y 0.079 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.079 * [taylor]: Taking taylor expansion of (pow y 2) 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 0) into 1 0.080 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y) 0.080 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.080 * [taylor]: Taking taylor expansion of 2 in y 0.080 * [backup-simplify]: Simplify 2 into 2 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify 1 into 1 0.080 * [backup-simplify]: Simplify (* 2 0) into 0 0.080 * [backup-simplify]: Simplify 0 into 0 0.080 * [backup-simplify]: Simplify (+ 0 0) into 0 0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1 0.081 * [taylor]: Taking taylor expansion of 1 in y 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify 1 into 1 0.081 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.081 * [backup-simplify]: Simplify 2 into 2 0.081 * [backup-simplify]: Simplify (* 1 1) into 1 0.081 * [backup-simplify]: Simplify 1 into 1 0.082 * [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)))) 0.082 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.082 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 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 0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [backup-simplify]: Simplify x into x 0.082 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.082 * [backup-simplify]: Simplify (+ 1 0) into 1 0.083 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.083 * [backup-simplify]: Simplify (/ 1 1) into 1 0.083 * [backup-simplify]: Simplify (+ 0 1) into 1 0.083 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [backup-simplify]: Simplify y into y 0.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.083 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [backup-simplify]: Simplify 0 into 0 0.083 * [backup-simplify]: Simplify 1 into 1 0.084 * [backup-simplify]: Simplify (/ 1 1) into 1 0.084 * [backup-simplify]: Simplify (+ 0 1) into 1 0.084 * [backup-simplify]: Simplify (* 1 1) into 1 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [backup-simplify]: Simplify 1 into 1 0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.085 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.085 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.085 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of 2 in y 0.085 * [backup-simplify]: Simplify 2 into 2 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 0.085 * [backup-simplify]: Simplify (/ 1 1) into 1 0.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.086 * [backup-simplify]: Simplify (+ 0 0) into 0 0.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 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 (/ 1 1) into 1 0.087 * [backup-simplify]: Simplify 1 into 1 0.087 * [backup-simplify]: Simplify (* 2 1) into 2 0.087 * [backup-simplify]: Simplify 2 into 2 0.087 * [backup-simplify]: Simplify 1 into 1 0.088 * [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)))) 0.088 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (pow (+ (/ 1 y) (/ 1 x)) 2) 0.088 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 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 0.088 * [backup-simplify]: Simplify (/ 1 1) into 1 0.088 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [backup-simplify]: Simplify x into x 0.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.089 * [backup-simplify]: Simplify (+ 1 0) into 1 0.089 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.089 * [backup-simplify]: Simplify (/ 1 1) into 1 0.089 * [backup-simplify]: Simplify (+ 0 1) into 1 0.089 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.089 * [taylor]: Taking taylor expansion of y in x 0.089 * [backup-simplify]: Simplify y into y 0.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [backup-simplify]: Simplify 0 into 0 0.089 * [backup-simplify]: Simplify 1 into 1 0.090 * [backup-simplify]: Simplify (/ 1 1) into 1 0.090 * [backup-simplify]: Simplify (+ 0 1) into 1 0.090 * [backup-simplify]: Simplify (* 1 1) into 1 0.090 * [taylor]: Taking taylor expansion of 1 in y 0.090 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.091 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.091 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y)) 0.091 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of 2 in y 0.091 * [backup-simplify]: Simplify 2 into 2 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [backup-simplify]: Simplify 0 into 0 0.091 * [backup-simplify]: Simplify 1 into 1 0.091 * [backup-simplify]: Simplify (/ 1 1) into 1 0.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.092 * [backup-simplify]: Simplify (+ 0 0) into 0 0.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2)) 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [backup-simplify]: Simplify 0 into 0 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 1 1) into 1 0.093 * [backup-simplify]: Simplify (/ 1 1) into 1 0.093 * [backup-simplify]: Simplify 1 into 1 0.093 * [backup-simplify]: Simplify (* 2 1) into 2 0.093 * [backup-simplify]: Simplify 2 into 2 0.093 * [backup-simplify]: Simplify 1 into 1 0.094 * [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)))) 0.094 * * * [progress]: simplifying candidates 0.095 * [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)))) 0.095 * [simplify]: Sending expressions to egg_math: (+ 1 1) (* (+ h0 h1) (+ h0 h1)) (+ 1 1) (+ (log (+ h0 h1)) (log (+ h0 h1))) (log (* (+ h0 h1) (+ h0 h1))) (exp (* (+ h0 h1) (+ h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1)) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* (+ h0 h1) (+ h0 h1))) (cbrt (* (+ h0 h1) (+ h0 h1)))) (cbrt (* (+ h0 h1) (+ h0 h1))) (* (* (* (+ h0 h1) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1))) (* (+ h0 h1) (+ h0 h1))) (sqrt (* (+ h0 h1) (+ h0 h1))) (sqrt (* (+ h0 h1) (+ h0 h1))) (* (+ (pow h0 3) (pow h1 3)) (+ (pow h0 3) (pow h1 3))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (pow h0 3) (pow h1 3)) (- (* h0 h0) (* h1 h1))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (- h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ (pow h0 3) (pow h1 3))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- (* h0 h0) (* h1 h1)) (- (* h0 h0) (* h1 h1))) (* (- h0 h1) (- h0 h1)) (* (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* 1 1) (* (+ h0 h1) (+ h0 h1)) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* (sqrt (+ h0 h1)) (sqrt (+ h0 h1))) (* 2 1) (* (+ h0 h1) h0) (* (+ h0 h1) h1) (* h0 (+ h0 h1)) (* h1 (+ h0 h1)) (* (+ h0 h1) (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* (+ h0 h1) (sqrt (+ h0 h1))) (* (+ h0 h1) 1) (* (+ h0 h1) 1) (* (cbrt (+ h0 h1)) (+ h0 h1)) (* (sqrt (+ h0 h1)) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1)) (* (+ h0 h1) (+ h0 h1)) (* (+ h0 h1) (+ (pow h0 3) (pow h1 3))) (* (+ h0 h1) (- (* h0 h0) (* h1 h1))) (* (+ (pow h0 3) (pow h1 3)) (+ h0 h1)) (* (- (* h0 h0) (* h1 h1)) (+ 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)))) 0.099 * * [simplify]: iteration 0 : 189 enodes (cost 213 ) 0.104 * * [simplify]: iteration 1 : 901 enodes (cost 188 ) 0.130 * * [simplify]: iteration 2 : 5001 enodes (cost 170 ) 0.132 * * * [progress]: adding candidates to table 0.175 * * [progress]: iteration 2 / 4 0.175 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.185 * * * [progress]: generating rewritten candidates 0.185 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.199 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.219 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.242 * * * [progress]: generating series expansions 0.242 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.242 * [backup-simplify]: Simplify (+ (* x (+ x y)) (* y (+ x y))) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.242 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.243 * [taylor]: Taking taylor expansion of 2 in y 0.243 * [backup-simplify]: Simplify 2 into 2 0.243 * [taylor]: Taking taylor expansion of (* x y) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.243 * [taylor]: Taking taylor expansion of y in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.243 * [taylor]: Taking taylor expansion of 2 in x 0.243 * [backup-simplify]: Simplify 2 into 2 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.243 * [taylor]: Taking taylor expansion of 2 in x 0.243 * [backup-simplify]: Simplify 2 into 2 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.243 * [backup-simplify]: Simplify (* 0 y) into 0 0.244 * [backup-simplify]: Simplify (* 2 0) into 0 0.244 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.244 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.244 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.245 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.245 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.245 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.245 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.245 * [backup-simplify]: Simplify 2 into 2 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 2 0) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.247 * [taylor]: Taking taylor expansion of 1 in y 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.248 * [backup-simplify]: Simplify 2 into 2 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [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)))) 0.249 * [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))))) 0.249 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [backup-simplify]: Simplify x into x 0.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.249 * [taylor]: Taking taylor expansion of 2 in y 0.250 * [backup-simplify]: Simplify 2 into 2 0.250 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.250 * [taylor]: Taking taylor expansion of (* x y) in y 0.250 * [taylor]: Taking taylor expansion of x in y 0.250 * [backup-simplify]: Simplify x into x 0.250 * [taylor]: Taking taylor expansion of y in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (* x 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.250 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.250 * [taylor]: Taking taylor expansion of x in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.251 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.251 * [taylor]: Taking taylor expansion of 2 in x 0.251 * [backup-simplify]: Simplify 2 into 2 0.251 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.251 * [taylor]: Taking taylor expansion of (* x y) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [taylor]: Taking taylor expansion of y in x 0.251 * [backup-simplify]: Simplify y into y 0.251 * [backup-simplify]: Simplify (* 0 y) into 0 0.251 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.251 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x 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 (* x y)) in x 0.252 * [taylor]: Taking taylor expansion of (* x y) 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 * [taylor]: Taking taylor expansion of y in x 0.252 * [backup-simplify]: Simplify y into y 0.252 * [backup-simplify]: Simplify (* 0 y) into 0 0.253 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.253 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [taylor]: Taking taylor expansion of 1 in y 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.254 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.254 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.254 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.254 * [taylor]: Taking taylor expansion of 2 in y 0.254 * [backup-simplify]: Simplify 2 into 2 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.256 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.256 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 1 1) into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (* 2 1) into 2 0.257 * [backup-simplify]: Simplify 2 into 2 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [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)))) 0.258 * [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))))) 0.258 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [backup-simplify]: Simplify x into x 0.258 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.258 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.259 * [taylor]: Taking taylor expansion of 2 in y 0.259 * [backup-simplify]: Simplify 2 into 2 0.259 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.259 * [taylor]: Taking taylor expansion of (* x y) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* x 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.260 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.260 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.260 * [taylor]: Taking taylor expansion of 2 in x 0.260 * [backup-simplify]: Simplify 2 into 2 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.260 * [taylor]: Taking taylor expansion of (* x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [backup-simplify]: Simplify y into y 0.260 * [backup-simplify]: Simplify (* 0 y) into 0 0.260 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.260 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.261 * [taylor]: Taking taylor expansion of 2 in x 0.261 * [backup-simplify]: Simplify 2 into 2 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.261 * [taylor]: Taking taylor expansion of (* x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [backup-simplify]: Simplify (* 0 y) into 0 0.262 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.262 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.263 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.263 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.263 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.263 * [taylor]: Taking taylor expansion of 2 in y 0.263 * [backup-simplify]: Simplify 2 into 2 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.265 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.265 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.265 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (* 2 1) into 2 0.266 * [backup-simplify]: Simplify 2 into 2 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [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)))) 0.267 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.267 * [backup-simplify]: Simplify (* x (+ x y)) into (* x (+ x y)) 0.267 * [approximate]: Taking taylor expansion of (* x (+ x y)) in (x y) around 0 0.267 * [taylor]: Taking taylor expansion of (* x (+ x y)) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 0.267 * [taylor]: Taking taylor expansion of (+ x y) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.267 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (+ x y) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [taylor]: Taking taylor expansion of (* x (+ x y)) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of (+ x y) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (+ 0 y) into y 0.267 * [backup-simplify]: Simplify (* 0 y) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 y)) into y 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 0 into 0 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 y))) into 1 0.269 * [taylor]: Taking taylor expansion of 1 in y 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 y)))) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.271 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 0.271 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.271 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) 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 (/ 1 x) into (/ 1 x) 0.272 * [taylor]: Taking taylor expansion of x in y 0.272 * [backup-simplify]: Simplify x into x 0.272 * [backup-simplify]: Simplify (+ 1 0) into 1 0.272 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.272 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.272 * [backup-simplify]: Simplify y into y 0.272 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 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 * [taylor]: Taking taylor expansion of x in x 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (+ 0 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [taylor]: Taking taylor expansion of x in x 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (+ 0 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.275 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.275 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in y 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [taylor]: Taking taylor expansion of 0 in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 0.282 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) x) 0.282 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in (x y) around 0 0.283 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in y 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.283 * [taylor]: Taking taylor expansion of y in y 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (+ 0 1) into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) x) in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 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 (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.285 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.286 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (/ 1 1) into 1 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.289 * [taylor]: Taking taylor expansion of 0 in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 0.294 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.294 * [backup-simplify]: Simplify (* y (+ x y)) into (* y (+ x y)) 0.294 * [approximate]: Taking taylor expansion of (* y (+ x y)) in (y x) around 0 0.294 * [taylor]: Taking taylor expansion of (* y (+ x y)) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (+ x y) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (+ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (* y (+ x y)) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (+ x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.295 * [backup-simplify]: Simplify x into x 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ x 0) into x 0.295 * [backup-simplify]: Simplify (* 0 x) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ 0 1) into 1 0.295 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 x)) into x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 x))) into 1 0.296 * [taylor]: Taking taylor expansion of 1 in x 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 x)))) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in x 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 x))))) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in x 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* x y)) 0.299 * [backup-simplify]: Simplify (* (/ 1 y) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.299 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of x in x 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of y in x 0.299 * [backup-simplify]: Simplify y into y 0.299 * [backup-simplify]: Simplify (+ 0 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.299 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (/ 1 1) into 1 0.300 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.301 * [taylor]: Taking taylor expansion of x in y 0.301 * [backup-simplify]: Simplify x into x 0.301 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.301 * [taylor]: Taking taylor expansion of y in y 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (+ 1 0) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of 1 in x 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.302 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.302 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in x 0.304 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.308 * [backup-simplify]: Simplify (+ 0 0) into 0 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [taylor]: Taking taylor expansion of 0 in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* x y)) 0.310 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 y) (/ 1 x)) y) 0.310 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in (y x) around 0 0.310 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in x 0.310 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (/ 1 1) into 1 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.311 * [backup-simplify]: Simplify (+ 0 1) into 1 0.311 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.311 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (/ 1 1) into 1 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [backup-simplify]: Simplify x into x 0.311 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 1 into 1 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) y) in y 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (+ 1 0) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 0.314 * [backup-simplify]: Simplify (- (/ (/ 1 x) 1) (+ (* 1 (/ 0 1)))) into (/ 1 x) 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)))) into 0 0.316 * [taylor]: Taking taylor expansion of 0 in x 0.316 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.320 * [backup-simplify]: Simplify (+ 0 0) into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [taylor]: Taking taylor expansion of 0 in x 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 0 into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 x) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [taylor]: Taking taylor expansion of 0 in x 0.323 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* x y)) 0.324 * * * [progress]: simplifying candidates 0.325 * [simplify]: Simplifying: (* (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))) (* 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))) (* 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))) (+ (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) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) (+ (pow y 2) (* x y)) 0.325 * [simplify]: Sending expressions to egg_math: (* (exp (* h0 (+ h0 h1))) (exp (* h1 (+ h0 h1)))) (log (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (exp (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (* (cbrt (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (cbrt (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1))))) (cbrt (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (* (* (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1))) (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (sqrt (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (sqrt (+ (* h0 (+ h0 h1)) (* h1 (+ h0 h1)))) (+ (* (* h0 (+ (pow h0 3) (pow h1 3))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (* h1 (+ (pow h0 3) (pow h1 3))))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (+ (* (* h0 (+ (pow h0 3) (pow h1 3))) (- h0 h1)) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (* h1 (- (* h0 h0) (* h1 h1))))) (* (+ (* h0 h0) (- (* h1 h1) (* h0 h1))) (- h0 h1)) (+ (* (* h0 (- (* h0 h0) (* h1 h1))) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (* (- h0 h1) (* h1 (+ (pow h0 3) (pow h1 3))))) (* (- h0 h1) (+ (* h0 h0) (- (* h1 h1) (* h0 h1)))) (+ (* (* h0 (- (* h0 h0) (* h1 h1))) (- h0 h1)) (* (- h0 h1) (* h1 (- (* h0 h0) (* h1 h1))))) (* (- h0 h1) (- h0 h1)) (+ (pow (* h0 (+ h0 h1)) 3) (pow (* h1 (+ h0 h1)) 3)) (+ (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (- (* (* h1 (+ h0 h1)) (* h1 (+ h0 h1))) (* (* h0 (+ h0 h1)) (* h1 (+ h0 h1))))) (- (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (* (* h1 (+ h0 h1)) (* h1 (+ h0 h1)))) (- (* h0 (+ h0 h1)) (* h1 (+ h0 h1))) (+ h0 h1) (+ (* h0 (+ h0 h1)) (* h1 h0)) (+ (* h0 (+ h0 h1)) (* h0 h1)) (+ (* h0 h1) (* h1 (+ h0 h1))) (+ (* h1 h0) (* h1 (+ h0 h1))) (* h0 (+ h0 h1)) (+ (log h0) (log (+ h0 h1))) (log (* h0 (+ h0 h1))) (exp (* h0 (+ h0 h1))) (* (* (* h0 h0) h0) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* h0 (+ h0 h1))) (cbrt (* h0 (+ h0 h1)))) (cbrt (* h0 (+ h0 h1))) (* (* (* h0 (+ h0 h1)) (* h0 (+ h0 h1))) (* h0 (+ h0 h1))) (sqrt (* h0 (+ h0 h1))) (sqrt (* h0 (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* (sqrt h0) (sqrt (+ h0 h1))) (* h0 h0) (* h0 h1) (* h0 h0) (* h1 h0) (* h0 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* h0 (sqrt (+ h0 h1))) (* h0 1) (* h0 1) (* (cbrt h0) (+ h0 h1)) (* (sqrt h0) (+ h0 h1)) (* h0 (+ h0 h1)) (* h0 (+ (pow h0 3) (pow h1 3))) (* h0 (- (* h0 h0) (* h1 h1))) (* h1 (+ h0 h1)) (+ (log h1) (log (+ h0 h1))) (log (* h1 (+ h0 h1))) (exp (* h1 (+ h0 h1))) (* (* (* h1 h1) h1) (* (* (+ h0 h1) (+ h0 h1)) (+ h0 h1))) (* (cbrt (* h1 (+ h0 h1))) (cbrt (* h1 (+ h0 h1)))) (cbrt (* h1 (+ h0 h1))) (* (* (* h1 (+ h0 h1)) (* h1 (+ h0 h1))) (* h1 (+ h0 h1))) (sqrt (* h1 (+ h0 h1))) (sqrt (* h1 (+ h0 h1))) (* (sqrt h1) (sqrt (+ h0 h1))) (* (sqrt h1) (sqrt (+ h0 h1))) (* h1 h0) (* h1 h1) (* h0 h1) (* h1 h1) (* h1 (* (cbrt (+ h0 h1)) (cbrt (+ h0 h1)))) (* h1 (sqrt (+ h0 h1))) (* h1 1) (* h1 1) (* (cbrt h1) (+ h0 h1)) (* (sqrt h1) (+ h0 h1)) (* h1 (+ h0 h1)) (* h1 (+ (pow h0 3) (pow h1 3))) (* h1 (- (* h0 h0) (* h1 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)))) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h0 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) (+ (pow h1 2) (* h0 h1)) 0.330 * * [simplify]: iteration 0 : 349 enodes (cost 386 ) 0.339 * * [simplify]: iteration 1 : 1961 enodes (cost 333 ) 0.384 * * [simplify]: iteration 2 : 5003 enodes (cost 331 ) 0.387 * * * [progress]: adding candidates to table 0.504 * * [progress]: iteration 3 / 4 0.504 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.512 * * * [progress]: generating rewritten candidates 0.512 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 0.541 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.572 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.646 * * * [progress]: generating series expansions 0.646 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 0.646 * [backup-simplify]: Simplify (+ (+ x y) y) into (+ x (* 2 y)) 0.646 * [approximate]: Taking taylor expansion of (+ x (* 2 y)) in (x y) around 0 0.647 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.647 * [taylor]: Taking taylor expansion of x in y 0.647 * [backup-simplify]: Simplify x into x 0.647 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.647 * [taylor]: Taking taylor expansion of 2 in y 0.647 * [backup-simplify]: Simplify 2 into 2 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.647 * [taylor]: Taking taylor expansion of 2 in x 0.647 * [backup-simplify]: Simplify 2 into 2 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [backup-simplify]: Simplify y into y 0.647 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.647 * [taylor]: Taking taylor expansion of x in x 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.647 * [taylor]: Taking taylor expansion of 2 in x 0.647 * [backup-simplify]: Simplify 2 into 2 0.647 * [taylor]: Taking taylor expansion of y in x 0.647 * [backup-simplify]: Simplify y into y 0.647 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.647 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.647 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.647 * [taylor]: Taking taylor expansion of 2 in y 0.647 * [backup-simplify]: Simplify 2 into 2 0.647 * [taylor]: Taking taylor expansion of y in y 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify (* 2 0) into 0 0.648 * [backup-simplify]: Simplify 0 into 0 0.648 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.648 * [backup-simplify]: Simplify (+ 1 0) into 1 0.648 * [taylor]: Taking taylor expansion of 1 in y 0.648 * [backup-simplify]: Simplify 1 into 1 0.648 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.649 * [backup-simplify]: Simplify 2 into 2 0.649 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.650 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [taylor]: Taking taylor expansion of 0 in y 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.650 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.651 * [backup-simplify]: Simplify (+ 0 0) into 0 0.651 * [taylor]: Taking taylor expansion of 0 in y 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify (+ (* 2 (* y 1)) (* 1 (* 1 x))) into (+ x (* 2 y)) 0.652 * [backup-simplify]: Simplify (+ (+ (/ 1 x) (/ 1 y)) (/ 1 y)) into (+ (* 2 (/ 1 y)) (/ 1 x)) 0.652 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in (x y) around 0 0.652 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.652 * [taylor]: Taking taylor expansion of 2 in y 0.652 * [backup-simplify]: Simplify 2 into 2 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [backup-simplify]: Simplify x into x 0.652 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.652 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.652 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.652 * [taylor]: Taking taylor expansion of 2 in x 0.652 * [backup-simplify]: Simplify 2 into 2 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.652 * [taylor]: Taking taylor expansion of y in x 0.652 * [backup-simplify]: Simplify y into y 0.652 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.652 * [taylor]: Taking taylor expansion of x in x 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 1 into 1 0.652 * [backup-simplify]: Simplify (/ 1 1) into 1 0.652 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.653 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.653 * [taylor]: Taking taylor expansion of 2 in x 0.653 * [backup-simplify]: Simplify 2 into 2 0.653 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.653 * [taylor]: Taking taylor expansion of y in x 0.653 * [backup-simplify]: Simplify y into y 0.653 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [taylor]: Taking taylor expansion of 1 in y 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.654 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.654 * [taylor]: Taking taylor expansion of 2 in y 0.654 * [backup-simplify]: Simplify 2 into 2 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.654 * [taylor]: Taking taylor expansion of y in y 0.654 * [backup-simplify]: Simplify 0 into 0 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (/ 1 1) into 1 0.654 * [backup-simplify]: Simplify (* 2 1) into 2 0.654 * [backup-simplify]: Simplify 2 into 2 0.654 * [backup-simplify]: Simplify 1 into 1 0.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.655 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [taylor]: Taking taylor expansion of 0 in y 0.656 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [taylor]: Taking taylor expansion of 0 in y 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.662 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.663 * [backup-simplify]: Simplify (+ 0 0) into 0 0.663 * [taylor]: Taking taylor expansion of 0 in y 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 2 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 2 y)) 0.663 * [backup-simplify]: Simplify (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (- (+ (* 2 (/ 1 y)) (/ 1 x))) 0.663 * [approximate]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in (x y) around 0 0.663 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in y 0.663 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.663 * [taylor]: Taking taylor expansion of 2 in y 0.663 * [backup-simplify]: Simplify 2 into 2 0.663 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [backup-simplify]: Simplify x into x 0.663 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.663 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.663 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.663 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.663 * [taylor]: Taking taylor expansion of 2 in x 0.664 * [backup-simplify]: Simplify 2 into 2 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [backup-simplify]: Simplify y into y 0.664 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 y)) (/ 1 x))) in x 0.664 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.664 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.664 * [taylor]: Taking taylor expansion of 2 in x 0.664 * [backup-simplify]: Simplify 2 into 2 0.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [backup-simplify]: Simplify y into y 0.664 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (+ 0 1) into 1 0.665 * [backup-simplify]: Simplify (- 1) into -1 0.665 * [taylor]: Taking taylor expansion of -1 in y 0.665 * [backup-simplify]: Simplify -1 into -1 0.665 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.665 * [backup-simplify]: Simplify (- (* 2 (/ 1 y))) into (- (* 2 (/ 1 y))) 0.665 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.666 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.666 * [taylor]: Taking taylor expansion of 2 in y 0.666 * [backup-simplify]: Simplify 2 into 2 0.666 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.666 * [taylor]: Taking taylor expansion of y in y 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [backup-simplify]: Simplify (* 2 1) into 2 0.666 * [backup-simplify]: Simplify (- 2) into -2 0.666 * [backup-simplify]: Simplify -2 into -2 0.666 * [backup-simplify]: Simplify -1 into -1 0.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [backup-simplify]: Simplify (- 0) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in y 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (- 0) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.669 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (- 0) into 0 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.671 * [backup-simplify]: Simplify (- 0) into 0 0.671 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.672 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify (+ 0 0) into 0 0.673 * [backup-simplify]: Simplify (- 0) into 0 0.673 * [taylor]: Taking taylor expansion of 0 in y 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -2 (* (/ 1 (/ 1 (- y))) 1))) into (+ x (* 2 y)) 0.674 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.674 * [backup-simplify]: Simplify (+ (* x (+ (+ x y) y)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.674 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [backup-simplify]: Simplify x into x 0.674 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.674 * [taylor]: Taking taylor expansion of 2 in y 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [taylor]: Taking taylor expansion of (* x y) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [backup-simplify]: Simplify x into x 0.674 * [taylor]: Taking taylor expansion of y in y 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [backup-simplify]: Simplify y into y 0.674 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.674 * [taylor]: Taking taylor expansion of 2 in x 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [taylor]: Taking taylor expansion of (* x y) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [backup-simplify]: Simplify y into y 0.674 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.674 * [taylor]: Taking taylor expansion of y in x 0.674 * [backup-simplify]: Simplify y into y 0.674 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.674 * [taylor]: Taking taylor expansion of 2 in x 0.674 * [backup-simplify]: Simplify 2 into 2 0.674 * [taylor]: Taking taylor expansion of (* x y) in x 0.674 * [taylor]: Taking taylor expansion of x in x 0.674 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [taylor]: Taking taylor expansion of y in x 0.675 * [backup-simplify]: Simplify y into y 0.675 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.675 * [backup-simplify]: Simplify (* 0 y) into 0 0.675 * [backup-simplify]: Simplify (* 2 0) into 0 0.675 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.675 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.676 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.676 * [backup-simplify]: Simplify (+ (* 2 y) (* 0 0)) into (* 2 y) 0.676 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.676 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.676 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.676 * [taylor]: Taking taylor expansion of 2 in y 0.676 * [backup-simplify]: Simplify 2 into 2 0.676 * [taylor]: Taking taylor expansion of y in y 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [backup-simplify]: Simplify (* 2 0) into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (* 1 1) into 1 0.677 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 y) (* 0 0))) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (+ 1 0) into 1 0.678 * [taylor]: Taking taylor expansion of 1 in y 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.679 * [backup-simplify]: Simplify 2 into 2 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [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)))) 0.679 * [backup-simplify]: Simplify (+ (* (/ 1 x) (+ (+ (/ 1 x) (/ 1 y)) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.679 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.679 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.679 * [taylor]: Taking taylor expansion of x in y 0.679 * [backup-simplify]: Simplify x into x 0.680 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.680 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (* 1 1) into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.680 * [taylor]: Taking taylor expansion of 2 in y 0.680 * [backup-simplify]: Simplify 2 into 2 0.680 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.680 * [taylor]: Taking taylor expansion of (* x y) in y 0.680 * [taylor]: Taking taylor expansion of x in y 0.680 * [backup-simplify]: Simplify x into x 0.680 * [taylor]: Taking taylor expansion of y in y 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (* x 0) into 0 0.681 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.681 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 1 into 1 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (/ 1 1) into 1 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [backup-simplify]: Simplify y into y 0.681 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.681 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.681 * [taylor]: Taking taylor expansion of 2 in x 0.681 * [backup-simplify]: Simplify 2 into 2 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.681 * [taylor]: Taking taylor expansion of (* x y) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [taylor]: Taking taylor expansion of y in x 0.682 * [backup-simplify]: Simplify y into y 0.682 * [backup-simplify]: Simplify (* 0 y) into 0 0.682 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.682 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.682 * [taylor]: Taking taylor expansion of x in x 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 1 into 1 0.682 * [backup-simplify]: Simplify (* 1 1) into 1 0.682 * [backup-simplify]: Simplify (/ 1 1) into 1 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.682 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.682 * [taylor]: Taking taylor expansion of y in x 0.683 * [backup-simplify]: Simplify y into y 0.683 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.683 * [taylor]: Taking taylor expansion of 2 in x 0.683 * [backup-simplify]: Simplify 2 into 2 0.683 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.683 * [taylor]: Taking taylor expansion of (* x y) in x 0.683 * [taylor]: Taking taylor expansion of x in x 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [taylor]: Taking taylor expansion of y in x 0.683 * [backup-simplify]: Simplify y into y 0.683 * [backup-simplify]: Simplify (* 0 y) into 0 0.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.683 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.683 * [backup-simplify]: Simplify (+ 1 0) into 1 0.683 * [taylor]: Taking taylor expansion of 1 in y 0.683 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.684 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.684 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.684 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.684 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.684 * [taylor]: Taking taylor expansion of 2 in y 0.684 * [backup-simplify]: Simplify 2 into 2 0.684 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.685 * [backup-simplify]: Simplify (/ 1 1) into 1 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.687 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.687 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (* 1 1) into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify 1 into 1 0.688 * [backup-simplify]: Simplify (* 2 1) into 2 0.688 * [backup-simplify]: Simplify 2 into 2 0.688 * [backup-simplify]: Simplify 1 into 1 0.688 * [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)))) 0.688 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) 0.688 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.688 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.688 * [taylor]: Taking taylor expansion of x in y 0.688 * [backup-simplify]: Simplify x into x 0.688 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.688 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.689 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (* 1 1) into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.689 * [taylor]: Taking taylor expansion of 2 in y 0.689 * [backup-simplify]: Simplify 2 into 2 0.689 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.689 * [taylor]: Taking taylor expansion of (* x y) in y 0.689 * [taylor]: Taking taylor expansion of x in y 0.689 * [backup-simplify]: Simplify x into x 0.689 * [taylor]: Taking taylor expansion of y in y 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (* x 0) into 0 0.689 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.690 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [backup-simplify]: Simplify (* 1 1) into 1 0.690 * [backup-simplify]: Simplify (/ 1 1) into 1 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [backup-simplify]: Simplify y into y 0.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.690 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.690 * [taylor]: Taking taylor expansion of 2 in x 0.690 * [backup-simplify]: Simplify 2 into 2 0.690 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.690 * [taylor]: Taking taylor expansion of (* x y) in x 0.690 * [taylor]: Taking taylor expansion of x in x 0.690 * [backup-simplify]: Simplify 0 into 0 0.690 * [backup-simplify]: Simplify 1 into 1 0.690 * [taylor]: Taking taylor expansion of y in x 0.690 * [backup-simplify]: Simplify y into y 0.690 * [backup-simplify]: Simplify (* 0 y) into 0 0.691 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.691 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.691 * [taylor]: Taking taylor expansion of x in x 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (* 1 1) into 1 0.691 * [backup-simplify]: Simplify (/ 1 1) into 1 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.691 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.691 * [taylor]: Taking taylor expansion of y in x 0.691 * [backup-simplify]: Simplify y into y 0.691 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.692 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.692 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.692 * [taylor]: Taking taylor expansion of 2 in x 0.692 * [backup-simplify]: Simplify 2 into 2 0.692 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.692 * [taylor]: Taking taylor expansion of (* x y) in x 0.692 * [taylor]: Taking taylor expansion of x in x 0.692 * [backup-simplify]: Simplify 0 into 0 0.692 * [backup-simplify]: Simplify 1 into 1 0.692 * [taylor]: Taking taylor expansion of y in x 0.692 * [backup-simplify]: Simplify y into y 0.692 * [backup-simplify]: Simplify (* 0 y) into 0 0.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.692 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.692 * [backup-simplify]: Simplify (+ 1 0) into 1 0.692 * [taylor]: Taking taylor expansion of 1 in y 0.692 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.693 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.693 * [backup-simplify]: Simplify (+ 0 (* 2 (/ 1 y))) into (* 2 (/ 1 y)) 0.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.693 * [taylor]: Taking taylor expansion of 2 in y 0.694 * [backup-simplify]: Simplify 2 into 2 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.694 * [taylor]: Taking taylor expansion of y in y 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 1 into 1 0.694 * [backup-simplify]: Simplify (/ 1 1) into 1 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.696 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.696 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.696 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.696 * [backup-simplify]: Simplify 0 into 0 0.696 * [backup-simplify]: Simplify 1 into 1 0.696 * [backup-simplify]: Simplify (* 1 1) into 1 0.696 * [backup-simplify]: Simplify (/ 1 1) into 1 0.696 * [backup-simplify]: Simplify 1 into 1 0.697 * [backup-simplify]: Simplify (* 2 1) into 2 0.697 * [backup-simplify]: Simplify 2 into 2 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [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)))) 0.697 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.697 * [backup-simplify]: Simplify (* x (+ (+ x y) y)) into (* x (+ x (* 2 y))) 0.697 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.697 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [backup-simplify]: Simplify x into x 0.697 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [backup-simplify]: Simplify x into x 0.697 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.697 * [taylor]: Taking taylor expansion of 2 in y 0.697 * [backup-simplify]: Simplify 2 into 2 0.697 * [taylor]: Taking taylor expansion of y in y 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 1 into 1 0.697 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.698 * [taylor]: Taking taylor expansion of 2 in x 0.698 * [backup-simplify]: Simplify 2 into 2 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [backup-simplify]: Simplify y into y 0.698 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.698 * [taylor]: Taking taylor expansion of x in x 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.698 * [taylor]: Taking taylor expansion of 2 in x 0.698 * [backup-simplify]: Simplify 2 into 2 0.698 * [taylor]: Taking taylor expansion of y in x 0.698 * [backup-simplify]: Simplify y into y 0.698 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.698 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.698 * [backup-simplify]: Simplify (* 0 (* 2 y)) into 0 0.698 * [taylor]: Taking taylor expansion of 0 in y 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.699 * [backup-simplify]: Simplify (+ 1 0) into 1 0.699 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2 y))) into (* 2 y) 0.699 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.699 * [taylor]: Taking taylor expansion of 2 in y 0.699 * [backup-simplify]: Simplify 2 into 2 0.699 * [taylor]: Taking taylor expansion of y in y 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (* 2 0) into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 0 into 0 0.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2 y)))) into 1 0.700 * [taylor]: Taking taylor expansion of 1 in y 0.700 * [backup-simplify]: Simplify 1 into 1 0.700 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.701 * [backup-simplify]: Simplify 2 into 2 0.701 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.702 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2 y))))) into 0 0.702 * [taylor]: Taking taylor expansion of 0 in y 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 0 into 0 0.704 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.704 * [backup-simplify]: Simplify (+ 0 0) into 0 0.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2 y)))))) into 0 0.705 * [taylor]: Taking taylor expansion of 0 in y 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify 0 into 0 0.705 * [backup-simplify]: Simplify (+ (* 2 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (* x y))) 0.705 * [backup-simplify]: Simplify (* (/ 1 x) (+ (+ (/ 1 x) (/ 1 y)) (/ 1 y))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.705 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.705 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.705 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.705 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.705 * [taylor]: Taking taylor expansion of 2 in y 0.706 * [backup-simplify]: Simplify 2 into 2 0.706 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.706 * [taylor]: Taking taylor expansion of y in y 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [backup-simplify]: Simplify x into x 0.706 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.706 * [taylor]: Taking taylor expansion of x in y 0.706 * [backup-simplify]: Simplify x into x 0.706 * [backup-simplify]: Simplify (* 2 1) into 2 0.707 * [backup-simplify]: Simplify (+ 2 0) into 2 0.707 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.707 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.707 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.707 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.707 * [taylor]: Taking taylor expansion of 2 in x 0.707 * [backup-simplify]: Simplify 2 into 2 0.707 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [backup-simplify]: Simplify y into y 0.707 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ 1 1) into 1 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (+ 0 1) into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.708 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.708 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.708 * [taylor]: Taking taylor expansion of 2 in x 0.708 * [backup-simplify]: Simplify 2 into 2 0.708 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.708 * [backup-simplify]: Simplify y into y 0.708 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.708 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (/ 1 1) into 1 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [backup-simplify]: Simplify (+ 0 1) into 1 0.709 * [backup-simplify]: Simplify (/ 1 1) into 1 0.709 * [taylor]: Taking taylor expansion of 1 in y 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.710 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.710 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.710 * [taylor]: Taking taylor expansion of 2 in y 0.710 * [backup-simplify]: Simplify 2 into 2 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (* 2 1) into 2 0.710 * [backup-simplify]: Simplify 2 into 2 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.711 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.712 * [taylor]: Taking taylor expansion of 0 in y 0.712 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify 0 into 0 0.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.714 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.715 * [taylor]: Taking taylor expansion of 0 in y 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.717 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [taylor]: Taking taylor expansion of 0 in y 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2 (* x y))) 0.720 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (+ (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) 0.720 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.720 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.720 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.720 * [taylor]: Taking taylor expansion of 2 in y 0.720 * [backup-simplify]: Simplify 2 into 2 0.720 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.720 * [taylor]: Taking taylor expansion of y in y 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (/ 1 1) into 1 0.720 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [backup-simplify]: Simplify x into x 0.720 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.720 * [taylor]: Taking taylor expansion of x in y 0.720 * [backup-simplify]: Simplify x into x 0.721 * [backup-simplify]: Simplify (* 2 1) into 2 0.721 * [backup-simplify]: Simplify (+ 2 0) into 2 0.721 * [backup-simplify]: Simplify (/ 2 x) into (/ 2 x) 0.721 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.721 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.721 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.721 * [taylor]: Taking taylor expansion of 2 in x 0.721 * [backup-simplify]: Simplify 2 into 2 0.721 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.721 * [taylor]: Taking taylor expansion of y in x 0.721 * [backup-simplify]: Simplify y into y 0.721 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.721 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (+ 0 1) into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.722 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.722 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.722 * [taylor]: Taking taylor expansion of 2 in x 0.722 * [backup-simplify]: Simplify 2 into 2 0.722 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [backup-simplify]: Simplify y into y 0.722 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.722 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (/ 1 1) into 1 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (+ 0 1) into 1 0.723 * [backup-simplify]: Simplify (/ 1 1) into 1 0.723 * [taylor]: Taking taylor expansion of 1 in y 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.724 * [backup-simplify]: Simplify (+ (/ 2 y) 0) into (* 2 (/ 1 y)) 0.724 * [backup-simplify]: Simplify (- (/ (* 2 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2 (/ 1 y)) 0.724 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.724 * [taylor]: Taking taylor expansion of 2 in y 0.724 * [backup-simplify]: Simplify 2 into 2 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (/ 1 1) into 1 0.725 * [backup-simplify]: Simplify (* 2 1) into 2 0.725 * [backup-simplify]: Simplify 2 into 2 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.725 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in y 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.728 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [taylor]: Taking taylor expansion of 0 in y 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.731 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.732 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2 (* x y))) 0.734 * * * [progress]: simplifying candidates 0.735 * [simplify]: Simplifying: (* (* (exp x) (exp y)) (exp y)) (* (exp (+ x y)) (exp y)) (log (+ (+ x y) y)) (exp (+ (+ x y) y)) (* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y))) (cbrt (+ (+ x y) y)) (* (* (+ (+ x y) y) (+ (+ x y) y)) (+ (+ x y) y)) (sqrt (+ (+ x y) y)) (sqrt (+ (+ x y) y)) (+ (pow (+ x y) 3) (pow y 3)) (+ (* (+ x y) (+ x y)) (- (* y y) (* (+ x y) y))) (- (* (+ x y) (+ x y)) (* y y)) (- (+ x y) y) (+ (+ x y) y) (+ (+ x y) y) (+ y y) (* (exp (* x (+ (+ x y) y))) (exp (* y y))) (log (+ (* x (+ (+ x y) y)) (* y y))) (exp (+ (* x (+ (+ x y) y)) (* y y))) (* (cbrt (+ (* x (+ (+ x y) y)) (* y y))) (cbrt (+ (* x (+ (+ x y) y)) (* y y)))) (cbrt (+ (* x (+ (+ x y) y)) (* y y))) (* (* (+ (* x (+ (+ x y) y)) (* y y)) (+ (* x (+ (+ x y) y)) (* y y))) (+ (* x (+ (+ x y) y)) (* y y))) (sqrt (+ (* x (+ (+ x y) y)) (* y y))) (sqrt (+ (* x (+ (+ x y) y)) (* y y))) (+ (pow (* x (+ (+ x y) y)) 3) (pow (* y y) 3)) (+ (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (- (* (* y y) (* y y)) (* (* x (+ (+ x y) y)) (* y y)))) (- (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* (* y y) (* y y))) (- (* x (+ (+ x y) y)) (* y y)) (+ (* x y) (* y y)) (+ (* y x) (* y y)) (* x (+ (+ x y) y)) (+ (log x) (log (+ (+ x y) y))) (log (* x (+ (+ x y) y))) (exp (* x (+ (+ x y) y))) (* (* (* x x) x) (* (* (+ (+ x y) y) (+ (+ x y) y)) (+ (+ x y) y))) (* (cbrt (* x (+ (+ x y) y))) (cbrt (* x (+ (+ x y) y)))) (cbrt (* x (+ (+ x y) y))) (* (* (* x (+ (+ x y) y)) (* x (+ (+ x y) y))) (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))) (sqrt (* x (+ (+ x y) y))) (* (sqrt x) (sqrt (+ (+ x y) y))) (* (sqrt x) (sqrt (+ (+ x y) y))) (* x (+ x y)) (* x y) (* (+ x y) x) (* y x) (* x (* (cbrt (+ (+ x y) y)) (cbrt (+ (+ x y) y)))) (* x (sqrt (+ (+ x y) y))) (* x 1) (* x 1) (* x 1) (* (cbrt x) (+ (+ x y) y)) (* (sqrt x) (+ (+ x y) y)) (* x (+ (+ x y) y)) (* x (+ (pow (+ x y) 3) (pow y 3))) (* x (- (* (+ x y) (+ x y)) (* y y))) (+ x (* 2 y)) (+ x (* 2 y)) (+ x (* 2 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)))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) 0.735 * [simplify]: Sending expressions to egg_math: (* (* (exp h0) (exp h1)) (exp h1)) (* (exp (+ h0 h1)) (exp h1)) (log (+ (+ h0 h1) h1)) (exp (+ (+ h0 h1) h1)) (* (cbrt (+ (+ h0 h1) h1)) (cbrt (+ (+ h0 h1) h1))) (cbrt (+ (+ h0 h1) h1)) (* (* (+ (+ h0 h1) h1) (+ (+ h0 h1) h1)) (+ (+ h0 h1) h1)) (sqrt (+ (+ h0 h1) h1)) (sqrt (+ (+ h0 h1) h1)) (+ (pow (+ h0 h1) 3) (pow h1 3)) (+ (* (+ h0 h1) (+ h0 h1)) (- (* h1 h1) (* (+ h0 h1) h1))) (- (* (+ h0 h1) (+ h0 h1)) (* h1 h1)) (- (+ h0 h1) h1) (+ (+ h0 h1) h1) (+ (+ h0 h1) h1) (+ h1 h1) (* (exp (* h0 (+ (+ h0 h1) h1))) (exp (* h1 h1))) (log (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (exp (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (* (cbrt (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (cbrt (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1)))) (cbrt (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (* (* (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1)) (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (sqrt (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (sqrt (+ (* h0 (+ (+ h0 h1) h1)) (* h1 h1))) (+ (pow (* h0 (+ (+ h0 h1) h1)) 3) (pow (* h1 h1) 3)) (+ (* (* h0 (+ (+ h0 h1) h1)) (* h0 (+ (+ h0 h1) h1))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 (+ (+ h0 h1) h1)) (* h1 h1)))) (- (* (* h0 (+ (+ h0 h1) h1)) (* h0 (+ (+ h0 h1) h1))) (* (* h1 h1) (* h1 h1))) (- (* h0 (+ (+ h0 h1) h1)) (* h1 h1)) (+ (* h0 h1) (* h1 h1)) (+ (* h1 h0) (* h1 h1)) (* h0 (+ (+ h0 h1) h1)) (+ (log h0) (log (+ (+ h0 h1) h1))) (log (* h0 (+ (+ h0 h1) h1))) (exp (* h0 (+ (+ h0 h1) h1))) (* (* (* h0 h0) h0) (* (* (+ (+ h0 h1) h1) (+ (+ h0 h1) h1)) (+ (+ h0 h1) h1))) (* (cbrt (* h0 (+ (+ h0 h1) h1))) (cbrt (* h0 (+ (+ h0 h1) h1)))) (cbrt (* h0 (+ (+ h0 h1) h1))) (* (* (* h0 (+ (+ h0 h1) h1)) (* h0 (+ (+ h0 h1) h1))) (* h0 (+ (+ h0 h1) h1))) (sqrt (* h0 (+ (+ h0 h1) h1))) (sqrt (* h0 (+ (+ h0 h1) h1))) (* (sqrt h0) (sqrt (+ (+ h0 h1) h1))) (* (sqrt h0) (sqrt (+ (+ h0 h1) h1))) (* h0 (+ h0 h1)) (* h0 h1) (* (+ h0 h1) h0) (* h1 h0) (* h0 (* (cbrt (+ (+ h0 h1) h1)) (cbrt (+ (+ h0 h1) h1)))) (* h0 (sqrt (+ (+ h0 h1) h1))) (* h0 1) (* h0 1) (* h0 1) (* (cbrt h0) (+ (+ h0 h1) h1)) (* (sqrt h0) (+ (+ h0 h1) h1)) (* h0 (+ (+ h0 h1) h1)) (* h0 (+ (pow (+ h0 h1) 3) (pow h1 3))) (* h0 (- (* (+ h0 h1) (+ h0 h1)) (* h1 h1))) (+ h0 (* 2 h1)) (+ h0 (* 2 h1)) (+ h0 (* 2 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)))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) (+ (pow h0 2) (* 2 (* h0 h1))) 0.740 * * [simplify]: iteration 0 : 252 enodes (cost 304 ) 0.746 * * [simplify]: iteration 1 : 1166 enodes (cost 264 ) 0.773 * * [simplify]: iteration 2 : 5001 enodes (cost 243 ) 0.775 * * * [progress]: adding candidates to table 0.863 * [progress]: [Phase 3 of 3] Extracting. 0.863 * * [regime]: Finding splitpoints for: (# # #) 0.863 * * * [regime-changes]: Trying 4 branch expressions: ((+ x y) (* (+ x y) (+ x y)) y x) 0.863 * * * * [regimes]: Trying to branch on (+ x y) from (# # #) 0.877 * * * * [regimes]: Trying to branch on (* (+ x y) (+ x y)) from (# # #) 0.889 * * * * [regimes]: Trying to branch on y from (# # #) 0.901 * * * * [regimes]: Trying to branch on x from (# # #) 0.914 * * * [regime]: Found split indices: #