27.791 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.027 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.029 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.031 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.033 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.035 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.035 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.041 * * * * [pick]: Picked # 0.041 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.058 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.063 * * * [progress]: generating series expansions 0.063 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.063 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.063 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.063 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.063 * [taylor]: Taking taylor expansion of 2.0 in y 0.063 * [taylor]: Taking taylor expansion of (* x y) in y 0.063 * [taylor]: Taking taylor expansion of x in y 0.063 * [taylor]: Taking taylor expansion of y in y 0.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.064 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.064 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.064 * [taylor]: Taking taylor expansion of 2.0 in x 0.064 * [taylor]: Taking taylor expansion of (* x y) in x 0.064 * [taylor]: Taking taylor expansion of x in x 0.064 * [taylor]: Taking taylor expansion of y in x 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.066 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.066 * [taylor]: Taking taylor expansion of 2.0 in y 0.066 * [taylor]: Taking taylor expansion of y in y 0.068 * [taylor]: Taking taylor expansion of 1 in y 0.070 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.070 * [taylor]: Taking taylor expansion of x in y 0.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 (/ 1 (* x y))) in y 0.071 * [taylor]: Taking taylor expansion of 2.0 in y 0.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.072 * [taylor]: Taking taylor expansion of x in x 0.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.072 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.073 * [taylor]: Taking taylor expansion of 2.0 in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.073 * [taylor]: Taking taylor expansion of (* x y) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of y in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.073 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.073 * [taylor]: Taking taylor expansion of x in x 0.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.074 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.074 * [taylor]: Taking taylor expansion of 2.0 in x 0.074 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.074 * [taylor]: Taking taylor expansion of (* x y) in x 0.074 * [taylor]: Taking taylor expansion of x in x 0.074 * [taylor]: Taking taylor expansion of y in x 0.074 * [taylor]: Taking taylor expansion of 1 in y 0.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.075 * [taylor]: Taking taylor expansion of 2.0 in y 0.075 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.075 * [taylor]: Taking taylor expansion of 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 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.079 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.080 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.080 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.080 * [taylor]: Taking taylor expansion of 2.0 in y 0.080 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.080 * [taylor]: Taking taylor expansion of (* x y) in y 0.080 * [taylor]: Taking taylor expansion of x in y 0.080 * [taylor]: Taking taylor expansion of y in y 0.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.081 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.081 * [taylor]: Taking taylor expansion of x in x 0.081 * [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 0.082 * [taylor]: Taking taylor expansion of 2.0 in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.082 * [taylor]: Taking taylor expansion of (* x y) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 in x 0.083 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of (* x y) in x 0.083 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of y in x 0.083 * [taylor]: Taking taylor expansion of 1 in y 0.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.084 * [taylor]: Taking taylor expansion of 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 0.088 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.088 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 (* 2.0 (* x y)) in y 0.088 * [taylor]: Taking taylor expansion of 2.0 in y 0.088 * [taylor]: Taking taylor expansion of (* x y) in y 0.088 * [taylor]: Taking taylor expansion of x in y 0.088 * [taylor]: Taking taylor expansion of y in y 0.088 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 (* 2.0 (* x y)) in x 0.088 * [taylor]: Taking taylor expansion of 2.0 in x 0.088 * [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 (+ (pow x 2) (* 2.0 (* x y))) 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 (* 2.0 (* x y)) in x 0.089 * [taylor]: Taking taylor expansion of 2.0 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 0 in y 0.090 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 1 in y 0.095 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.098 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.099 * [taylor]: Taking taylor expansion of 2.0 in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.099 * [taylor]: Taking taylor expansion of (* x y) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.099 * [taylor]: Taking taylor expansion of y in y 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 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.100 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.100 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.100 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.101 * [taylor]: Taking taylor expansion of 2.0 in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.101 * [taylor]: Taking taylor expansion of (* x y) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [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 * [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 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.114 * [taylor]: Taking taylor expansion of (* x y) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [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 0.115 * [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 0.115 * [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 0.116 * [taylor]: Taking taylor expansion of (* x y) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [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 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.128 * * * [progress]: simplifying candidates 0.128 * [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))) 0.133 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.139 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.165 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.166 * [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)) 0.167 * * * [progress]: adding candidates to table 0.260 * * [progress]: iteration 2 / 4 0.260 * * * [progress]: picking best candidate 0.263 * * * * [pick]: Picked # 0.263 * * * [progress]: localizing error 0.269 * * * [progress]: generating rewritten candidates 0.269 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.274 * * * [progress]: generating series expansions 0.274 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.274 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in (x y) around 0 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in y 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.274 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.274 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.274 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.274 * [taylor]: Taking taylor expansion of 2.0 in y 0.274 * [taylor]: Taking taylor expansion of x in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.274 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.274 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.274 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.274 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.274 * [taylor]: Taking taylor expansion of 2.0 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of y in x 0.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.275 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.275 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.275 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.275 * [taylor]: Taking taylor expansion of 2.0 in x 0.275 * [taylor]: Taking taylor expansion of x in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of y in x 0.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.275 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.277 * [taylor]: Taking taylor expansion of 2.0 in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of 1 in y 0.281 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.281 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.281 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.281 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.281 * [taylor]: Taking taylor expansion of 2.0 in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.283 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.283 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of 2.0 in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.284 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.284 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.284 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of 2.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.285 * [taylor]: Taking taylor expansion of y in x 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of 2.0 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.291 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.291 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.291 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.291 * [taylor]: Taking taylor expansion of 2.0 in y 0.291 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.291 * [taylor]: Taking taylor expansion of -1 in y 0.291 * [taylor]: Taking taylor expansion of x in y 0.291 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.291 * [taylor]: Taking taylor expansion of -1 in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.293 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.293 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.293 * [taylor]: Taking taylor expansion of 2.0 in x 0.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of x in x 0.293 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.293 * [taylor]: Taking taylor expansion of -1 in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.293 * [taylor]: Taking taylor expansion of y in x 0.294 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.295 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.295 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.295 * [taylor]: Taking taylor expansion of 2.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.295 * [taylor]: Taking taylor expansion of -1 in x 0.295 * [taylor]: Taking taylor expansion of y in x 0.296 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of 1 in y 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.298 * [taylor]: Taking taylor expansion of 2.0 in y 0.298 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.298 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.301 * * * [progress]: simplifying candidates 0.305 * [simplify]: Simplifying using # : (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 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)))) 0.309 * * [simplify]: iteration 0 : 120 enodes (cost 111 ) 0.313 * * [simplify]: iteration 1 : 501 enodes (cost 92 ) 0.324 * * [simplify]: iteration 2 : 2393 enodes (cost 86 ) 0.375 * * [simplify]: iteration 3 : 5001 enodes (cost 86 ) 0.376 * [simplify]: Simplified to: (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 y 3) (pow (fma 2.0 x 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 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)) 0.376 * * * [progress]: adding candidates to table 0.413 * * [progress]: iteration 3 / 4 0.413 * * * [progress]: picking best candidate 0.415 * * * * [pick]: Picked # 0.415 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * [progress]: generating series expansions 0.421 * * * [progress]: simplifying candidates 0.421 * [simplify]: Simplifying using # : 0.424 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.424 * [simplify]: Simplified to: 0.424 * * * [progress]: adding candidates to table 0.424 * [progress]: [Phase 3 of 3] Extracting. 0.427 * [simplify]: Simplifying using # : (fma x x (* (fma 2.0 x y) y)) 0.427 * * [simplify]: iteration 0 : 7 enodes (cost 3 ) 0.427 * * [simplify]: iteration 1 : 7 enodes (cost 3 ) 0.428 * [simplify]: Simplified to: (fma x x (* (fma 2.0 x y) y)) 1.135 * [regime-testing]: End program error score: 0.007324035817067278 1.152 * [regime-testing]: Target error score: 0.013610496902060683