15.246 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.029 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.033 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.035 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.049 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.063 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.067 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.067 * [taylor]: Taking taylor expansion of 2.0 in y 0.067 * [taylor]: Taking taylor expansion of (* x y) in y 0.067 * [taylor]: Taking taylor expansion of x in y 0.067 * [taylor]: Taking taylor expansion of y in y 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.067 * [taylor]: Taking taylor expansion of 2.0 in x 0.067 * [taylor]: Taking taylor expansion of (* x y) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.067 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.067 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.068 * [taylor]: Taking taylor expansion of 2.0 in x 0.068 * [taylor]: Taking taylor expansion of (* x y) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.069 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.069 * [taylor]: Taking taylor expansion of 2.0 in y 0.069 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.075 * [taylor]: Taking taylor expansion of x in y 0.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.082 * [taylor]: Taking taylor expansion of 2.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.082 * [taylor]: Taking taylor expansion of (* x y) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of (* x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.084 * [taylor]: Taking taylor expansion of 1 in y 0.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.085 * [taylor]: Taking taylor expansion of 2.0 in y 0.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.085 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.089 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.090 * [taylor]: Taking taylor expansion of (* x y) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.093 * [taylor]: Taking taylor expansion of (* x y) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of 1 in y 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.098 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.098 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of (* x y) in y 0.098 * [taylor]: Taking taylor expansion of x in y 0.098 * [taylor]: Taking taylor expansion of y in y 0.098 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 0 in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of 1 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.109 * [taylor]: Taking taylor expansion of 2.0 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.109 * [taylor]: Taking taylor expansion of (* x y) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.109 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.110 * [taylor]: Taking taylor expansion of 2.0 in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.110 * [taylor]: Taking taylor expansion of (* x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.111 * [taylor]: Taking taylor expansion of 2.0 in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.112 * [taylor]: Taking taylor expansion of 2.0 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.124 * [taylor]: Taking taylor expansion of 2.0 in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.124 * [taylor]: Taking taylor expansion of (* x y) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.125 * [taylor]: Taking taylor expansion of 2.0 in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.125 * [taylor]: Taking taylor expansion of (* x y) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.126 * [taylor]: Taking taylor expansion of 2.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.126 * [taylor]: Taking taylor expansion of (* x y) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of 1 in y 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.127 * [taylor]: Taking taylor expansion of 2.0 in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.139 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying using # : (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.144 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.150 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.176 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.178 * [simplify]: Simplified to: (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (fma (* (pow y 4) y) y (pow (fma x x (* (* x 2.0) y)) 3)) (+ (+ (* (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x))) (* y (* (* (- x) (fma y 2.0 x)) y))) (pow y 4)) (* (fma y (fma 2.0 x y) (pow x 2)) (fma y (- (* x 2.0) y) (pow x 2))) (fma y (- (* x 2.0) y) (pow x 2)) (* (fma 2.0 x y) y) (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (fma y 2.0 x)) (+ (log x) (log (fma y 2.0 x))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (fma x x (* (* x 2.0) y)) 3) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (fma (pow x 3) (pow (* 2.0 y) 3) (pow x 6)) (fma x (* (* 2.0 y) (* x (- (* 2.0 y) x))) (pow x 4)) (* (* (* x (- x (* 2.0 y))) x) (fma y 2.0 x)) (* x (- x (* 2.0 y))) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) 0.178 * * * [progress]: adding candidates to table 0.271 * * [progress]: iteration 2 / 4 0.271 * * * [progress]: picking best candidate 0.274 * * * * [pick]: Picked # 0.274 * * * [progress]: localizing error 0.282 * * * [progress]: generating rewritten candidates 0.282 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.285 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.285 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.285 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.285 * [taylor]: Taking taylor expansion of (* x x) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.285 * [taylor]: Taking taylor expansion of 2.0 in y 0.285 * [taylor]: Taking taylor expansion of (* x y) in y 0.285 * [taylor]: Taking taylor expansion of x in y 0.285 * [taylor]: Taking taylor expansion of y in y 0.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.286 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.286 * [taylor]: Taking taylor expansion of (* x x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of (* x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.286 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.286 * [taylor]: Taking taylor expansion of (* x x) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 in x 0.286 * [taylor]: Taking taylor expansion of (* x y) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.289 * [taylor]: Taking taylor expansion of 2.0 in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1 in y 0.293 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.293 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.294 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.294 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.294 * [taylor]: Taking taylor expansion of 2.0 in y 0.294 * [taylor]: Taking taylor expansion of (* x y) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.295 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.295 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.295 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.295 * [taylor]: Taking taylor expansion of 2.0 in x 0.295 * [taylor]: Taking taylor expansion of (* x y) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.296 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.296 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.296 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.297 * [taylor]: Taking taylor expansion of 2.0 in x 0.297 * [taylor]: Taking taylor expansion of (* x y) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of 1 in y 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.299 * [taylor]: Taking taylor expansion of 2.0 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.304 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 0.304 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.304 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.304 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.304 * [taylor]: Taking taylor expansion of -1 in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.304 * [taylor]: Taking taylor expansion of -1 in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.304 * [taylor]: Taking taylor expansion of 2.0 in y 0.304 * [taylor]: Taking taylor expansion of (* x y) in y 0.304 * [taylor]: Taking taylor expansion of x in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.304 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.305 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.305 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.305 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.305 * [taylor]: Taking taylor expansion of -1 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.306 * [taylor]: Taking taylor expansion of 2.0 in x 0.306 * [taylor]: Taking taylor expansion of (* x y) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.306 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.306 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.306 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.307 * [taylor]: Taking taylor expansion of -1 in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.307 * [taylor]: Taking taylor expansion of 2.0 in x 0.307 * [taylor]: Taking taylor expansion of (* x y) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of 1 in y 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.310 * [taylor]: Taking taylor expansion of 2.0 in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.314 * * * [progress]: simplifying candidates 0.315 * [simplify]: Simplifying using # : (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (exp (fma x x (* (* x 2.0) y))) (exp (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (* (+ (fma x x (* (* x 2.0) y)) (* y y)) (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (pow (fma x x (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (fma x x (* (* x 2.0) y)) (* y y)))) (- (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (* (* y y) (* y y))) (- (fma x x (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.319 * * [simplify]: iteration 0 : 113 enodes (cost 137 ) 0.322 * * [simplify]: iteration 1 : 428 enodes (cost 116 ) 0.331 * * [simplify]: iteration 2 : 1776 enodes (cost 104 ) 0.375 * * [simplify]: iteration 3 : 5002 enodes (cost 101 ) 0.377 * [simplify]: Simplified to: (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (fma y (pow y 5) (pow (fma x x (* (* x 2.0) y)) 3)) (fma (fma x x (* (* x 2.0) y)) (- (fma x x (* (* x 2.0) y)) (* y y)) (pow y 4)) (* (fma y (fma 2.0 x y) (pow x 2)) (- (fma x x (* (* x 2.0) y)) (* y y))) (fma y (- (* x 2.0) y) (pow x 2)) (* (fma 2.0 x y) y) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) 0.377 * * * [progress]: adding candidates to table 0.427 * * [progress]: iteration 3 / 4 0.427 * * * [progress]: picking best candidate 0.429 * * * * [pick]: Picked # 0.429 * * * [progress]: localizing error 0.437 * * * [progress]: generating rewritten candidates 0.437 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.437 * * * [progress]: generating series expansions 0.437 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.441 * [approximate]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in (y x) around 0 0.441 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in x 0.441 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.441 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.441 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.441 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.441 * [taylor]: Taking taylor expansion of 2.0 in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.441 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.441 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.441 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.441 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.441 * [taylor]: Taking taylor expansion of 2.0 in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.441 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.442 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.442 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.442 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.442 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.442 * [taylor]: Taking taylor expansion of 2.0 in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.442 * [taylor]: Taking taylor expansion of x in y 0.442 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.443 * [taylor]: Taking taylor expansion of 2.0 in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of 1 in x 0.447 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in (y x) around 0 0.447 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in x 0.447 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.447 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.448 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.448 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.448 * [taylor]: Taking taylor expansion of 2.0 in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.448 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.449 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.449 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.449 * [taylor]: Taking taylor expansion of 2.0 in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.449 * [taylor]: Taking taylor expansion of y in y 0.449 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.449 * [taylor]: Taking taylor expansion of x in y 0.449 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.450 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.450 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.450 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.450 * [taylor]: Taking taylor expansion of 2.0 in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of 1 in x 0.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.453 * [taylor]: Taking taylor expansion of 2.0 in x 0.453 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.453 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.457 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in (y x) around 0 0.457 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in x 0.457 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.457 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in x 0.457 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.457 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of y in x 0.457 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.457 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.457 * [taylor]: Taking taylor expansion of 2.0 in x 0.457 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.457 * [taylor]: Taking taylor expansion of -1 in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.458 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.458 * [taylor]: Taking taylor expansion of -1 in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.458 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.458 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.458 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.458 * [taylor]: Taking taylor expansion of -1 in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.459 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.459 * [taylor]: Taking taylor expansion of 2.0 in y 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.459 * [taylor]: Taking taylor expansion of -1 in y 0.459 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.459 * [taylor]: Taking taylor expansion of -1 in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.459 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.459 * [taylor]: Taking taylor expansion of -1 in y 0.459 * [taylor]: Taking taylor expansion of x in y 0.459 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.459 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.459 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.459 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.459 * [taylor]: Taking taylor expansion of -1 in y 0.459 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.460 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.460 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.460 * [taylor]: Taking taylor expansion of 2.0 in y 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.460 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.460 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.460 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.460 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of x in y 0.461 * [taylor]: Taking taylor expansion of 1 in x 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of 2.0 in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.467 * * * [progress]: simplifying candidates 0.467 * [simplify]: Simplifying using # : (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (fma y (fma 2.0 x y) (pow x 2))) (* (* (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2))) (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.470 * * [simplify]: iteration 0 : 41 enodes (cost 68 ) 0.472 * * [simplify]: iteration 1 : 97 enodes (cost 52 ) 0.476 * * [simplify]: iteration 2 : 453 enodes (cost 52 ) 0.487 * * [simplify]: iteration 3 : 2426 enodes (cost 52 ) 0.562 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.563 * [simplify]: Simplified to: (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (fma y (fma 2.0 x y) (pow x 2))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) (fma y (fma 2.0 x y) (pow x 2)) 0.563 * * * [progress]: adding candidates to table 0.594 * [progress]: [Phase 3 of 3] Extracting. 0.594 * * [regime]: Finding splitpoints for: (# #) 0.594 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.594 * * * * [regimes]: Trying to branch on y from (# #) 0.610 * * * * [regimes]: Trying to branch on x from (# #) 0.622 * * * [regime]: Found split indices: #