10.729 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.023 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.025 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.027 * * [simplify]: iteration 2 : 44 enodes (cost 10 ) 0.036 * * [simplify]: iteration 3 : 71 enodes (cost 9 ) 0.043 * * [simplify]: iteration 4 : 73 enodes (cost 9 ) 0.050 * * [simplify]: iteration done : 73 enodes (cost 9 ) 0.050 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.063 * * * [progress]: generating rewritten candidates 0.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.077 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.080 * * * [progress]: generating series expansions 0.080 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.080 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.080 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.081 * [taylor]: Taking taylor expansion of 2.0 in y 0.081 * [taylor]: Taking taylor expansion of (* x y) in y 0.081 * [taylor]: Taking taylor expansion of x in y 0.081 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) 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 (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.081 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) 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 (* x y)) in x 0.081 * [taylor]: Taking taylor expansion of 2.0 in x 0.081 * [taylor]: Taking taylor expansion of (* x y) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.085 * [taylor]: Taking taylor expansion of 1 in y 0.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.087 * [taylor]: Taking taylor expansion of 2.0 in y 0.087 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.087 * [taylor]: Taking taylor expansion of (* x y) in y 0.087 * [taylor]: Taking taylor expansion of x in y 0.087 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.088 * [taylor]: Taking taylor expansion of x in x 0.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.088 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.088 * [taylor]: Taking taylor expansion of y in x 0.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 in x 0.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of (* x y) in x 0.089 * [taylor]: Taking taylor expansion of x in x 0.089 * [taylor]: Taking taylor expansion of y in x 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 0.089 * [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 in y 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.091 * [taylor]: Taking taylor expansion of 2.0 in y 0.091 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.095 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.095 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.095 * [taylor]: Taking taylor expansion of x in y 0.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x 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 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.096 * [taylor]: Taking taylor expansion of 2.0 in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.096 * [taylor]: Taking taylor expansion of (* x y) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of y in y 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.096 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.097 * [taylor]: Taking taylor expansion of y in x 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.106 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.106 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.106 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of (* x y) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of 2.0 in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.106 * [taylor]: Taking taylor expansion of 2.0 in x 0.106 * [taylor]: Taking taylor expansion of (* x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.108 * [taylor]: Taking taylor expansion of 2.0 in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 1 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.116 * [taylor]: Taking taylor expansion of 2.0 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.116 * [taylor]: Taking taylor expansion of (* x y) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.117 * [taylor]: Taking taylor expansion of 2.0 in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.117 * [taylor]: Taking taylor expansion of (* x y) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.118 * [taylor]: Taking taylor expansion of 2.0 in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.118 * [taylor]: Taking taylor expansion of (* x y) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of 1 in y 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of 2.0 in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.130 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.131 * [taylor]: Taking taylor expansion of 2.0 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.131 * [taylor]: Taking taylor expansion of (* x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of y in y 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 0.132 * [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)) (* 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 (* 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 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.134 * [taylor]: Taking taylor expansion of 2.0 in y 0.134 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * * * [progress]: simplifying candidates 0.146 * [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))) 0.148 * * [simplify]: iteration 0 : 62 enodes (cost 573 ) 0.159 * * [simplify]: iteration 1 : 211 enodes (cost 480 ) 0.216 * * [simplify]: iteration 2 : 1027 enodes (cost 387 ) 0.638 * * [simplify]: iteration 3 : 4588 enodes (cost 360 ) 2.811 * * [simplify]: iteration done : 5000 enodes (cost 360 ) 2.812 * [simplify]: Simplified to: (expm1 (fma y (fma 2.0 x y) (* x x))) (log1p (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (log (fma y (fma 2.0 x y) (* x x))) (exp (fma y (fma 2.0 x y) (* x x))) (* (cbrt (fma y (fma 2.0 x y) (* x x))) (cbrt (fma y (fma 2.0 x y) (* x x)))) (cbrt (fma y (fma 2.0 x y) (* x x))) (pow (fma y (fma 2.0 x y) (* x x)) 3) (sqrt (fma y (fma 2.0 x y) (* x x))) (sqrt (fma y (fma 2.0 x y) (* x x))) (+ (pow y 6) (pow (* (fma 2.0 y x) x) 3)) (+ (* (* (fma 2.0 y x) x) (fma x x (* y (- (* x 2.0) y)))) (pow y 4)) (fma (* (fma 2.0 y x) x) (* (fma 2.0 y x) x) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))) (* (fma 2.0 x y) y) (expm1 (* (fma 2.0 y x) x)) (log1p (* (fma 2.0 y x) x)) (pow (exp x) (fma 2.0 y x)) (log (* (fma 2.0 y x) x)) (pow (exp x) (fma 2.0 y x)) (* (cbrt (* (fma 2.0 y x) x)) (cbrt (* (fma 2.0 y x) x))) (cbrt (* (fma 2.0 y x) x)) (pow (* (fma 2.0 y x) x) 3) (sqrt (* (fma 2.0 y x) x)) (sqrt (* (fma 2.0 y x) x)) (+ (pow (* (* x 2.0) y) 3) (pow x 6)) (fma (* (* x 2.0) y) (* x (- (* 2.0 y) x)) (pow x 4)) (* (* (fma 2.0 y x) x) (* x (- x (* 2.0 y)))) (* x (- x (* 2.0 y))) (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x)) (fma y (fma 2.0 x y) (* x x)) (* (fma 2.0 y x) x) (* (fma 2.0 y x) x) (* (fma 2.0 y x) x) 2.812 * * * [progress]: adding candidates to table 2.896 * * [progress]: iteration 2 / 4 2.896 * * * [progress]: picking best candidate 2.897 * * * * [pick]: Picked # 2.898 * * * [progress]: localizing error 2.903 * * * [progress]: generating rewritten candidates 2.904 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.905 * * * [progress]: generating series expansions 2.905 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.905 * [approximate]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in (x y) around 0 2.905 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in y 2.905 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 2.905 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in y 2.905 * [taylor]: Taking taylor expansion of x in y 2.905 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 2.905 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.905 * [taylor]: Taking taylor expansion of (* y 2.0) in y 2.905 * [taylor]: Taking taylor expansion of y in y 2.905 * [taylor]: Taking taylor expansion of 2.0 in y 2.905 * [taylor]: Taking taylor expansion of x in y 2.905 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.905 * [taylor]: Taking taylor expansion of y in y 2.905 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 2.905 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 2.905 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 2.905 * [taylor]: Taking taylor expansion of x in x 2.905 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 2.905 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.905 * [taylor]: Taking taylor expansion of (* y 2.0) in x 2.905 * [taylor]: Taking taylor expansion of y in x 2.905 * [taylor]: Taking taylor expansion of 2.0 in x 2.905 * [taylor]: Taking taylor expansion of x in x 2.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.905 * [taylor]: Taking taylor expansion of y in x 2.905 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 2.906 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 2.906 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.906 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 2.906 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.906 * [taylor]: Taking taylor expansion of (* y 2.0) in x 2.906 * [taylor]: Taking taylor expansion of y in x 2.906 * [taylor]: Taking taylor expansion of 2.0 in x 2.906 * [taylor]: Taking taylor expansion of x in x 2.906 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.906 * [taylor]: Taking taylor expansion of y in x 2.906 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.906 * [taylor]: Taking taylor expansion of y in y 2.907 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.907 * [taylor]: Taking taylor expansion of 2.0 in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.909 * [taylor]: Taking taylor expansion of 1 in y 2.911 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 2.911 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 2.911 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.911 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in y 2.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.911 * [taylor]: Taking taylor expansion of x in y 2.911 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 2.911 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.911 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 2.911 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.911 * [taylor]: Taking taylor expansion of y in y 2.911 * [taylor]: Taking taylor expansion of 2.0 in y 2.911 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.911 * [taylor]: Taking taylor expansion of x in y 2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.911 * [taylor]: Taking taylor expansion of y in y 2.912 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 2.912 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.912 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 2.912 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.913 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.913 * [taylor]: Taking taylor expansion of 2.0 in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.913 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 2.913 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.913 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 2.914 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.914 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 2.914 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.914 * [taylor]: Taking taylor expansion of 2.0 in x 2.914 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.914 * [taylor]: Taking taylor expansion of y in x 2.915 * [taylor]: Taking taylor expansion of 1 in y 2.916 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.916 * [taylor]: Taking taylor expansion of 2.0 in y 2.916 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.916 * [taylor]: Taking taylor expansion of y in y 2.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.919 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.919 * [taylor]: Taking taylor expansion of y in y 2.920 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in (x y) around 0 2.920 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in y 2.920 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 2.920 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in y 2.920 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.920 * [taylor]: Taking taylor expansion of -1 in y 2.920 * [taylor]: Taking taylor expansion of x in y 2.920 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 2.920 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 2.920 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 2.920 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.920 * [taylor]: Taking taylor expansion of -1 in y 2.920 * [taylor]: Taking taylor expansion of y in y 2.921 * [taylor]: Taking taylor expansion of 2.0 in y 2.921 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.921 * [taylor]: Taking taylor expansion of -1 in y 2.921 * [taylor]: Taking taylor expansion of x in y 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.921 * [taylor]: Taking taylor expansion of y in y 2.921 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 2.921 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 2.921 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 2.921 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.921 * [taylor]: Taking taylor expansion of -1 in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 2.922 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 2.922 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 2.922 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.922 * [taylor]: Taking taylor expansion of -1 in x 2.922 * [taylor]: Taking taylor expansion of y in x 2.922 * [taylor]: Taking taylor expansion of 2.0 in x 2.922 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.922 * [taylor]: Taking taylor expansion of -1 in x 2.922 * [taylor]: Taking taylor expansion of x in x 2.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.922 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.922 * [taylor]: Taking taylor expansion of y in x 2.923 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 2.923 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 2.923 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.923 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 2.923 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 2.923 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of y in x 2.923 * [taylor]: Taking taylor expansion of 2.0 in x 2.923 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.923 * [taylor]: Taking taylor expansion of -1 in x 2.923 * [taylor]: Taking taylor expansion of x in x 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [taylor]: Taking taylor expansion of 1 in y 2.926 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.926 * [taylor]: Taking taylor expansion of 2.0 in y 2.926 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.926 * [taylor]: Taking taylor expansion of y in y 2.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.928 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.928 * [taylor]: Taking taylor expansion of y in y 2.930 * * * [progress]: simplifying candidates 2.930 * [simplify]: Simplifying using # : (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* x (fma y 2.0 x)) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (* (* (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y))) (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 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)))) 2.931 * * [simplify]: iteration 0 : 23 enodes (cost 165 ) 2.934 * * [simplify]: iteration 1 : 43 enodes (cost 165 ) 2.944 * * [simplify]: iteration 2 : 101 enodes (cost 135 ) 2.968 * * [simplify]: iteration 3 : 378 enodes (cost 135 ) 3.106 * * [simplify]: iteration 4 : 1894 enodes (cost 135 ) 3.807 * * [simplify]: iteration done : 5000 enodes (cost 135 ) 3.807 * [simplify]: Simplified to: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* (fma y 2.0 x) x) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 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)) 3.807 * * * [progress]: adding candidates to table 3.838 * [progress]: [Phase 3 of 3] Extracting. 3.838 * * [regime]: Finding splitpoints for: (# #) 3.839 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 3.839 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 3.852 * * * * [regimes]: Trying to branch on y from (# #) 3.866 * * * * [regimes]: Trying to branch on x from (# #) 3.879 * * * [regime]: Found split indices: #