15.719 * [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 ) 0.032 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.035 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.037 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.037 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.040 * * [progress]: iteration 1 / 4 0.040 * * * [progress]: picking best candidate 0.044 * * * * [pick]: Picked # 0.044 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.067 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.070 * * * [progress]: generating series expansions 0.070 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.071 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.071 * [taylor]: Taking taylor expansion of 2.0 in y 0.071 * [taylor]: Taking taylor expansion of (* x y) in y 0.071 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of y in y 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.071 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.071 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.071 * [taylor]: Taking taylor expansion of 2.0 in x 0.071 * [taylor]: Taking taylor expansion of (* x y) in x 0.071 * [taylor]: Taking taylor expansion of x in x 0.071 * [taylor]: Taking taylor expansion of y in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.073 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.073 * [taylor]: Taking taylor expansion of 2.0 in y 0.073 * [taylor]: Taking taylor expansion of y in y 0.076 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.078 * [taylor]: Taking taylor expansion of x in y 0.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.078 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.079 * [taylor]: Taking taylor expansion of 2.0 in y 0.079 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.079 * [taylor]: Taking taylor expansion of (* x y) in y 0.079 * [taylor]: Taking taylor expansion of x in y 0.079 * [taylor]: Taking taylor expansion of y in y 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.079 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.080 * [taylor]: Taking taylor expansion of y in x 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.080 * [taylor]: Taking taylor expansion of 2.0 in x 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.080 * [taylor]: Taking taylor expansion of (* x y) in x 0.080 * [taylor]: Taking taylor expansion of x in x 0.080 * [taylor]: Taking taylor expansion of y in x 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 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.081 * [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 in y 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.083 * [taylor]: Taking taylor expansion of 2.0 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.083 * [taylor]: Taking taylor expansion of y in y 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 0.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x 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 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.089 * [taylor]: Taking taylor expansion of (* x y) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.090 * [taylor]: Taking taylor expansion of 2.0 in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.090 * [taylor]: Taking taylor expansion of (* x y) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.090 * [taylor]: Taking taylor expansion of y in x 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [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 in y 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.097 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.097 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.097 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (* x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [taylor]: Taking taylor expansion of (* x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [taylor]: Taking taylor expansion of (* x y) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.099 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.099 * [taylor]: Taking taylor expansion of 2.0 in y 0.099 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.104 * [taylor]: Taking taylor expansion of 0 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of (* x y) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.115 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.115 * [taylor]: Taking taylor expansion of 2.0 in x 0.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.115 * [taylor]: Taking taylor expansion of (* x y) in x 0.115 * [taylor]: Taking taylor expansion of x in x 0.115 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of 1 in y 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of 2.0 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.129 * [taylor]: Taking taylor expansion of 2.0 in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.129 * [taylor]: Taking taylor expansion of (* x y) in y 0.129 * [taylor]: Taking taylor expansion of x in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.130 * [taylor]: Taking taylor expansion of 2.0 in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.130 * [taylor]: Taking taylor expansion of (* x y) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.131 * [taylor]: Taking taylor expansion of 2.0 in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.131 * [taylor]: Taking taylor expansion of (* x y) in x 0.131 * [taylor]: Taking taylor expansion of x in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of 1 in y 0.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.133 * [taylor]: Taking taylor expansion of 2.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * * * [progress]: simplifying candidates 0.150 * [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))) 0.157 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.167 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.199 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.201 * [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)) 0.201 * * * [progress]: adding candidates to table 0.296 * * [progress]: iteration 2 / 4 0.296 * * * [progress]: picking best candidate 0.298 * * * * [pick]: Picked # 0.298 * * * [progress]: localizing error 0.304 * * * [progress]: generating rewritten candidates 0.304 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.305 * * * [progress]: generating series expansions 0.305 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.305 * [approximate]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.305 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.305 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.305 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in x 0.305 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.305 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.305 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of 2.0 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.305 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.305 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.305 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.305 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.306 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.306 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 2.0 in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.306 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.306 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.306 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.306 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.306 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of 2.0 in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of x in y 0.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.308 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.308 * [taylor]: Taking taylor expansion of 2.0 in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.311 * [taylor]: Taking taylor expansion of 1 in x 0.313 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.313 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.313 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.313 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.313 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.313 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.313 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [taylor]: Taking taylor expansion of 2.0 in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.314 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.314 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.314 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.314 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.314 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.314 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 2.0 in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.315 * [taylor]: Taking taylor expansion of x in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.316 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.316 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.316 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.316 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.316 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.316 * [taylor]: Taking taylor expansion of 2.0 in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.316 * [taylor]: Taking taylor expansion of x in y 0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.316 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of 1 in x 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.319 * [taylor]: Taking taylor expansion of 2.0 in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in (y x) around 0 0.323 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in x 0.323 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.323 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in x 0.323 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.323 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.323 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.323 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.323 * [taylor]: Taking taylor expansion of -1 in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of 2.0 in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.324 * [taylor]: Taking taylor expansion of -1 in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.325 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.325 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.325 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.325 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.325 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.325 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.325 * [taylor]: Taking taylor expansion of -1 in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of 2.0 in y 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.325 * [taylor]: Taking taylor expansion of -1 in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.325 * [taylor]: Taking taylor expansion of -1 in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.326 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.326 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.326 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.326 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.326 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.326 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of 2.0 in y 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.327 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.327 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of x in y 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.327 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of 1 in x 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of 2.0 in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying using # : (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (* (* (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* 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)))) 0.338 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.340 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.344 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.356 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.431 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.433 * [simplify]: Simplified to: (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 0.433 * * * [progress]: adding candidates to table 0.487 * [progress]: [Phase 3 of 3] Extracting. 0.487 * * [regime]: Finding splitpoints for: (# #) 0.488 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.488 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.502 * * * * [regimes]: Trying to branch on y from (# #) 0.522 * * * * [regimes]: Trying to branch on x from (# #) 0.537 * * * [regime]: Found split indices: #