17.373 * [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 ) 0.030 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.032 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.034 * * [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 0.042 * * * * [pick]: Picked # 0.042 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.053 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.067 * * * [progress]: generating series expansions 0.067 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.067 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.067 * [taylor]: Taking taylor expansion of (+ (pow x 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 (* 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) (* 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 (* 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) (* 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 (* 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 0.068 * [taylor]: Taking taylor expansion of 0 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 0.075 * [taylor]: Taking taylor expansion of 1 in y 0.078 * [taylor]: Taking taylor expansion of 0 in y 0.081 * [taylor]: Taking taylor expansion of 0 in y 0.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.082 * [taylor]: Taking taylor expansion of (* x y) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x 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 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.084 * [taylor]: Taking taylor expansion of 2.0 in x 0.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.084 * [taylor]: Taking taylor expansion of (* x y) in x 0.084 * [taylor]: Taking taylor expansion of x in x 0.084 * [taylor]: Taking taylor expansion of y in x 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.086 * [taylor]: Taking taylor expansion of 2.0 in y 0.086 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 0 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [taylor]: Taking taylor expansion of 0 in y 0.097 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (* x y))) in y 0.098 * [taylor]: Taking taylor expansion of 2.0 in y 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.099 * [taylor]: Taking taylor expansion of 2.0 in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.100 * [taylor]: Taking taylor expansion of 2.0 in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.100 * [taylor]: Taking taylor expansion of (* x y) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.100 * [taylor]: Taking taylor expansion of y in x 0.101 * [taylor]: Taking taylor expansion of 1 in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.113 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.113 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in y 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 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 (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 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 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 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 (pow y 2) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of 1 in y 0.119 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.121 * [taylor]: Taking taylor expansion of 2.0 in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.121 * [taylor]: Taking taylor expansion of (* x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.122 * [taylor]: Taking taylor expansion of 2.0 in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.122 * [taylor]: Taking taylor expansion of (* x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.123 * [taylor]: Taking taylor expansion of 2.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of 1 in y 0.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.125 * [taylor]: Taking taylor expansion of 2.0 in y 0.125 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.125 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.129 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.129 * [taylor]: Taking taylor expansion of y in y 0.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.130 * [taylor]: Taking taylor expansion of 2.0 in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.130 * [taylor]: Taking taylor expansion of (* x y) in y 0.130 * [taylor]: Taking taylor expansion of x in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.131 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.132 * [taylor]: Taking taylor expansion of 2.0 in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.132 * [taylor]: Taking taylor expansion of (* x y) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.133 * [taylor]: Taking taylor expansion of 2.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.133 * [taylor]: Taking taylor expansion of (* x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.135 * [taylor]: Taking taylor expansion of 2.0 in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * * * [progress]: simplifying candidates 0.139 * [simplify]: Simplifying using # : (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)) (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)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 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) (+ (pow y 2) (* 2.0 (* x y)))) 0.144 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.151 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.180 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.182 * [simplify]: Simplified to: (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))) (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) (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y)) (fma 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)) 0.182 * * * [progress]: adding candidates to table 0.270 * * [progress]: iteration 2 / 4 0.271 * * * [progress]: picking best candidate 0.272 * * * * [pick]: Picked # 0.272 * * * [progress]: localizing error 0.279 * * * [progress]: generating rewritten candidates 0.279 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.282 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.285 * * * [progress]: generating series expansions 0.285 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.286 * [approximate]: Taking taylor expansion of (* (fma 2.0 x y) y) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.286 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.286 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.286 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.286 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.286 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.286 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 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 y in x 0.286 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.286 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.286 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.286 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.286 * [taylor]: Taking taylor expansion of 2.0 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 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 0.288 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.288 * [taylor]: Taking taylor expansion of 2.0 in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.293 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [approximate]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.296 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.296 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.296 * [taylor]: Taking taylor expansion of 2.0 in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.297 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.297 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of 2.0 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.298 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.299 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.299 * [taylor]: Taking taylor expansion of 2.0 in x 0.299 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.299 * [taylor]: Taking taylor expansion of 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 * [taylor]: Taking taylor expansion of y in x 0.300 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.300 * [taylor]: Taking taylor expansion of 2.0 in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.301 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 0 in y 0.306 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.312 * [approximate]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.312 * [taylor]: Taking taylor expansion of -1 in y 0.312 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.312 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.312 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.312 * [taylor]: Taking taylor expansion of 2.0 in y 0.312 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.312 * [taylor]: Taking taylor expansion of -1 in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.312 * [taylor]: Taking taylor expansion of -1 in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.313 * [taylor]: Taking taylor expansion of -1 in x 0.313 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.313 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.313 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.313 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) 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 -1 in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.314 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.314 * [taylor]: Taking taylor expansion of -1 in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.315 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.315 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.315 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.315 * [taylor]: Taking taylor expansion of -1 in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.315 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.316 * [taylor]: Taking taylor expansion of -1 in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.316 * [taylor]: Taking taylor expansion of y in x 0.317 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.317 * [taylor]: Taking taylor expansion of 2.0 in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.334 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.334 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in (x y) around 0 0.334 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in y 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.334 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.335 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.335 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.335 * [taylor]: Taking taylor expansion of 2.0 in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.335 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.335 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.335 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.335 * [taylor]: Taking taylor expansion of 2.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.335 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.335 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.335 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.335 * [taylor]: Taking taylor expansion of 2.0 in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.337 * [taylor]: Taking taylor expansion of 2.0 in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of 1 in y 0.341 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.341 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.342 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.342 * [taylor]: Taking taylor expansion of 2.0 in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.342 * [taylor]: Taking taylor expansion of x in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.343 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.343 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.345 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.345 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 2.0 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of 1 in y 0.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.348 * [taylor]: Taking taylor expansion of 2.0 in y 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.352 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.352 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.352 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.352 * [taylor]: Taking taylor expansion of 2.0 in y 0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.352 * [taylor]: Taking taylor expansion of -1 in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.352 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.352 * [taylor]: Taking taylor expansion of -1 in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.354 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.354 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.354 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.354 * [taylor]: Taking taylor expansion of 2.0 in x 0.354 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.354 * [taylor]: Taking taylor expansion of -1 in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.354 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.354 * [taylor]: Taking taylor expansion of -1 in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.356 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.356 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.356 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.356 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.356 * [taylor]: Taking taylor expansion of 2.0 in x 0.356 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.356 * [taylor]: Taking taylor expansion of -1 in x 0.356 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.357 * [taylor]: Taking taylor expansion of -1 in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.357 * [taylor]: Taking taylor expansion of y in x 0.358 * [taylor]: Taking taylor expansion of 1 in y 0.359 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.359 * [taylor]: Taking taylor expansion of 2.0 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.361 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.363 * * * [progress]: simplifying candidates 0.363 * [simplify]: Simplifying using # : (expm1 (* (fma 2.0 x y) y)) (log1p (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (+ (log (fma 2.0 x y)) (log y)) (log (* (fma 2.0 x y) y)) (exp (* (fma 2.0 x y) y)) (* (* (* (fma 2.0 x y) (fma 2.0 x y)) (fma 2.0 x y)) (* (* y y) y)) (* (cbrt (* (fma 2.0 x y) y)) (cbrt (* (fma 2.0 x y) y))) (cbrt (* (fma 2.0 x y) y)) (* (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (fma 2.0 x y) (* (cbrt y) (cbrt y))) (* (fma 2.0 x y) (sqrt y)) (* (fma 2.0 x y) 1) (* (cbrt (fma 2.0 x y)) y) (* (sqrt (fma 2.0 x y)) y) (* (fma 2.0 x y) y) (expm1 (+ (* x x) (* (fma 2.0 x y) y))) (log1p (+ (* x x) (* (fma 2.0 x y) y))) (* (exp (* x x)) (exp (* (fma 2.0 x y) y))) (log (+ (* x x) (* (fma 2.0 x y) y))) (exp (+ (* x x) (* (fma 2.0 x y) y))) (* (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (cbrt (+ (* x x) (* (fma 2.0 x y) y)))) (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (* (* (+ (* x x) (* (fma 2.0 x y) y)) (+ (* x x) (* (fma 2.0 x y) y))) (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (+ (pow (* x x) 3) (pow (* (fma 2.0 x y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y)) (* (* x x) (* (fma 2.0 x y) y)))) (- (* (* x x) (* x x)) (* (* (fma 2.0 x y) y) (* (fma 2.0 x y) y))) (- (* x x) (* (fma 2.0 x y) y)) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (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) (+ (pow y 2) (* 2.0 (* x y)))) 0.368 * * [simplify]: iteration 0 : 165 enodes (cost 192 ) 0.373 * * [simplify]: iteration 1 : 662 enodes (cost 162 ) 0.393 * * [simplify]: iteration 2 : 4080 enodes (cost 156 ) 0.476 * * [simplify]: iteration 3 : 5001 enodes (cost 156 ) 0.477 * [simplify]: Simplified to: (expm1 (* (fma 2.0 x y) y)) (log1p (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (log (* (fma 2.0 x y) y)) (log (* (fma 2.0 x y) y)) (exp (* (fma 2.0 x y) y)) (pow (* (fma 2.0 x y) y) 3) (* (cbrt (* (fma 2.0 x y) y)) (cbrt (* (fma 2.0 x y) y))) (cbrt (* (fma 2.0 x y) y)) (pow (* (fma 2.0 x y) y) 3) (sqrt (* (fma 2.0 x y) y)) (sqrt (* (fma 2.0 x y) y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (sqrt (fma 2.0 x y)) (sqrt y)) (* (fma 2.0 x y) (* (cbrt y) (cbrt y))) (* (fma 2.0 x y) (sqrt y)) (fma 2.0 x y) (* (cbrt (fma 2.0 x y)) y) (* (sqrt (fma 2.0 x y)) y) (* (fma 2.0 x y) y) (expm1 (+ (* x x) (* (fma 2.0 x y) y))) (log1p (+ (* x x) (* (fma 2.0 x y) y))) (exp (fma x x (* (fma 2.0 x y) y))) (log (+ (* x x) (* (fma 2.0 x y) y))) (exp (fma x x (* (fma 2.0 x y) y))) (* (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (cbrt (+ (* x x) (* (fma 2.0 x y) y)))) (cbrt (+ (* x x) (* (fma 2.0 x y) y))) (pow (fma x x (* (fma 2.0 x y) y)) 3) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (sqrt (+ (* x x) (* (fma 2.0 x y) y))) (fma (pow (fma 2.0 x y) 3) (pow y 3) (pow x 6)) (fma (* (fma 2.0 x y) y) (- (* (fma 2.0 x y) y) (pow x 2)) (pow x 4)) (fma (- (* (fma 2.0 x y) (fma 2.0 x y))) (pow y 2) (pow x 4)) (- (* x x) (* (fma 2.0 x y) y)) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) (* (fma 2.0 x y) y) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) (fma x x (* (fma 2.0 x y) y)) 0.478 * * * [progress]: adding candidates to table 0.558 * [progress]: [Phase 3 of 3] Extracting. 0.558 * * [regime]: Finding splitpoints for: (# #) 0.558 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 0.558 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 0.570 * * * * [regimes]: Trying to branch on y from (# #) 0.581 * * * * [regimes]: Trying to branch on x from (# #) 0.592 * * * [regime]: Found split indices: #