22.492 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.046 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.048 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.051 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.053 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.056 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.056 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.058 * * [progress]: iteration 1 / 4 0.058 * * * [progress]: picking best candidate 0.062 * * * * [pick]: Picked # 0.062 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.075 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.091 * * * [progress]: generating series expansions 0.091 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.091 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.091 * [taylor]: Taking taylor expansion of 2.0 in y 0.091 * [taylor]: Taking taylor expansion of (* x y) in y 0.091 * [taylor]: Taking taylor expansion of x in y 0.091 * [taylor]: Taking taylor expansion of y in y 0.091 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x y) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (* x y) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of 0 in y 0.093 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.093 * [taylor]: Taking taylor expansion of 2.0 in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.095 * [taylor]: Taking taylor expansion of 1 in y 0.098 * [taylor]: Taking taylor expansion of 0 in y 0.101 * [taylor]: Taking taylor expansion of 0 in y 0.102 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.102 * [taylor]: Taking taylor expansion of 2.0 in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.102 * [taylor]: Taking taylor expansion of (* x y) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.103 * [taylor]: Taking taylor expansion of 2.0 in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.103 * [taylor]: Taking taylor expansion of (* x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.104 * [taylor]: Taking taylor expansion of 2.0 in x 0.104 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.104 * [taylor]: Taking taylor expansion of (* x y) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of 1 in y 0.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.106 * [taylor]: Taking taylor expansion of 2.0 in y 0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.118 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.118 * [taylor]: Taking taylor expansion of 2.0 in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.118 * [taylor]: Taking taylor expansion of (* x y) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.119 * [taylor]: Taking taylor expansion of 2.0 in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.119 * [taylor]: Taking taylor expansion of (* x y) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.120 * [taylor]: Taking taylor expansion of 2.0 in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.120 * [taylor]: Taking taylor expansion of (* x y) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.134 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.134 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.134 * [taylor]: Taking taylor expansion of 2.0 in y 0.134 * [taylor]: Taking taylor expansion of (* x y) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in x 0.134 * [taylor]: Taking taylor expansion of (* x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in x 0.134 * [taylor]: Taking taylor expansion of (* x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 1 in y 0.141 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.142 * [taylor]: Taking taylor expansion of 2.0 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.142 * [taylor]: Taking taylor expansion of (* x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.143 * [taylor]: Taking taylor expansion of 2.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.143 * [taylor]: Taking taylor expansion of (* x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.144 * [taylor]: Taking taylor expansion of 2.0 in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.145 * [taylor]: Taking taylor expansion of (* x y) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 2.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.151 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.151 * [taylor]: Taking taylor expansion of x in y 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.152 * [taylor]: Taking taylor expansion of 2.0 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.152 * [taylor]: Taking taylor expansion of (* x y) in y 0.152 * [taylor]: Taking taylor expansion of x in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.153 * [taylor]: Taking taylor expansion of 2.0 in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.154 * [taylor]: Taking taylor expansion of 2.0 in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.154 * [taylor]: Taking taylor expansion of (* x y) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.156 * [taylor]: Taking taylor expansion of 2.0 in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.159 * [taylor]: Taking taylor expansion of y in y 0.166 * * * [progress]: simplifying candidates 0.167 * [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)))) 0.172 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.180 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.212 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.214 * [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)) 0.214 * * * [progress]: adding candidates to table 0.309 * * [progress]: iteration 2 / 4 0.309 * * * [progress]: picking best candidate 0.312 * * * * [pick]: Picked # 0.313 * * * [progress]: localizing error 0.321 * * * [progress]: generating rewritten candidates 0.321 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.322 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.325 * * * [progress]: generating series expansions 0.325 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.325 * [approximate]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in (x y) around 0 0.325 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.325 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.326 * [taylor]: Taking taylor expansion of (* x x) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.326 * [taylor]: Taking taylor expansion of 2.0 in y 0.326 * [taylor]: Taking taylor expansion of (* x y) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.326 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.326 * [taylor]: Taking taylor expansion of (* x x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.326 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.326 * [taylor]: Taking taylor expansion of (* x x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of (* x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.328 * [taylor]: Taking taylor expansion of 2.0 in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of 1 in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [taylor]: Taking taylor expansion of 0 in y 0.341 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in (x y) around 0 0.341 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.341 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.341 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.341 * [taylor]: Taking taylor expansion of 2.0 in y 0.341 * [taylor]: Taking taylor expansion of (* x y) in y 0.341 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.342 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.342 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.342 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.343 * [taylor]: Taking taylor expansion of 2.0 in x 0.343 * [taylor]: Taking taylor expansion of (* x y) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.343 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.343 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x 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 (/ 2.0 (* x y)) in x 0.344 * [taylor]: Taking taylor expansion of 2.0 in x 0.344 * [taylor]: Taking taylor expansion of (* x y) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of 2.0 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.356 * [taylor]: Taking taylor expansion of 0 in y 0.357 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in (x y) around 0 0.357 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.357 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.357 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.357 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.357 * [taylor]: Taking taylor expansion of -1 in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.357 * [taylor]: Taking taylor expansion of -1 in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.357 * [taylor]: Taking taylor expansion of 2.0 in y 0.357 * [taylor]: Taking taylor expansion of (* x y) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.358 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.358 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.358 * [taylor]: Taking taylor expansion of 2.0 in x 0.359 * [taylor]: Taking taylor expansion of (* x y) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.359 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.359 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.360 * [taylor]: Taking taylor expansion of 2.0 in x 0.360 * [taylor]: Taking taylor expansion of (* x y) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.362 * [taylor]: Taking taylor expansion of 2.0 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.373 * [taylor]: Taking taylor expansion of 0 in y 0.373 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.374 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.374 * [taylor]: Taking taylor expansion of (* x x) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.374 * [taylor]: Taking taylor expansion of 2.0 in y 0.374 * [taylor]: Taking taylor expansion of (* x y) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.374 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.374 * [taylor]: Taking taylor expansion of (* x x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.374 * [taylor]: Taking taylor expansion of 2.0 in x 0.374 * [taylor]: Taking taylor expansion of (* x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.374 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.374 * [taylor]: Taking taylor expansion of (* x x) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.374 * [taylor]: Taking taylor expansion of 2.0 in x 0.374 * [taylor]: Taking taylor expansion of (* x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.377 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.377 * [taylor]: Taking taylor expansion of 2.0 in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of 1 in y 0.381 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.382 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.382 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.382 * [taylor]: Taking taylor expansion of 2.0 in y 0.382 * [taylor]: Taking taylor expansion of (* x y) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.383 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.383 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.383 * [taylor]: Taking taylor expansion of 2.0 in x 0.383 * [taylor]: Taking taylor expansion of (* x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.384 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.384 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.385 * [taylor]: Taking taylor expansion of 2.0 in x 0.385 * [taylor]: Taking taylor expansion of (* x y) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of 1 in y 0.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.387 * [taylor]: Taking taylor expansion of 2.0 in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.391 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.392 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.392 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.392 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.392 * [taylor]: Taking taylor expansion of -1 in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.392 * [taylor]: Taking taylor expansion of -1 in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.392 * [taylor]: Taking taylor expansion of 2.0 in y 0.392 * [taylor]: Taking taylor expansion of (* x y) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.393 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.393 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.393 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.393 * [taylor]: Taking taylor expansion of -1 in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.394 * [taylor]: Taking taylor expansion of 2.0 in x 0.394 * [taylor]: Taking taylor expansion of (* x y) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.394 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.395 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.395 * [taylor]: Taking taylor expansion of -1 in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.395 * [taylor]: Taking taylor expansion of 2.0 in x 0.395 * [taylor]: Taking taylor expansion of (* x y) in x 0.395 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.396 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of 1 in y 0.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.398 * [taylor]: Taking taylor expansion of 2.0 in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.401 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.403 * * * [progress]: simplifying candidates 0.403 * [simplify]: Simplifying using # : (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (* x x) (log (fma x x (* (* x 2.0) y))) (exp (fma x x (* (* x 2.0) y))) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (* (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (exp (fma x x (* (* x 2.0) y))) (exp (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (* (+ (fma x x (* (* x 2.0) y)) (* y y)) (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (+ (pow (fma x x (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (fma x x (* (* x 2.0) y)) (* y y)))) (- (* (fma x x (* (* x 2.0) y)) (fma x x (* (* x 2.0) y))) (* (* y y) (* y y))) (- (fma x x (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 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)))) 0.408 * * [simplify]: iteration 0 : 121 enodes (cost 188 ) 0.414 * * [simplify]: iteration 1 : 478 enodes (cost 167 ) 0.427 * * [simplify]: iteration 2 : 1983 enodes (cost 156 ) 0.479 * * [simplify]: iteration 3 : 5002 enodes (cost 149 ) 0.481 * [simplify]: Simplified to: (expm1 (fma x x (* (* x 2.0) y))) (log1p (fma x x (* (* x 2.0) y))) (pow x 2) (log (fma x x (* (* x 2.0) y))) (pow (exp x) (fma y 2.0 x)) (* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y)))) (cbrt (fma x x (* (* x 2.0) y))) (pow (fma x x (* (* x 2.0) y)) 3) (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (expm1 (+ (fma x x (* (* x 2.0) y)) (* y y))) (log1p (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (log (+ (fma x x (* (* x 2.0) y)) (* y y))) (exp (+ (fma x x (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y)))) (cbrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (sqrt (+ (fma x x (* (* x 2.0) y)) (* y y))) (fma (pow x 3) (pow (fma y 2.0 x) 3) (pow y 6)) (fma (* (fma y 2.0 x) x) (- (fma x x (* (* x 2.0) y)) (* y y)) (pow y 4)) (fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y)) (fma (fma y 2.0 x) x (- (pow y 2))) (* (fma 2.0 x y) y) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (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)) 0.481 * * * [progress]: adding candidates to table 0.573 * * [progress]: iteration 3 / 4 0.574 * * * [progress]: picking best candidate 0.575 * * * * [pick]: Picked # 0.576 * * * [progress]: localizing error 0.583 * * * [progress]: generating rewritten candidates 0.583 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.586 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.590 * * * [progress]: generating series expansions 0.590 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.590 * [approximate]: Taking taylor expansion of (* (fma 2.0 x y) y) in (x y) around 0 0.590 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.590 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.590 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.590 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.590 * [taylor]: Taking taylor expansion of 2.0 in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.590 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.590 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.590 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.590 * [taylor]: Taking taylor expansion of 2.0 in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.591 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.591 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.591 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.591 * [taylor]: Taking taylor expansion of 2.0 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.591 * [taylor]: Taking taylor expansion of y in y 0.593 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.593 * [taylor]: Taking taylor expansion of 2.0 in y 0.593 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of 0 in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [taylor]: Taking taylor expansion of 0 in y 0.601 * [approximate]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in (x y) around 0 0.601 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.602 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.602 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.602 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.602 * [taylor]: Taking taylor expansion of 2.0 in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.602 * [taylor]: Taking taylor expansion of x in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.603 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.603 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.603 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.603 * [taylor]: Taking taylor expansion of 2.0 in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.603 * [taylor]: Taking taylor expansion of y in x 0.604 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.604 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.604 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.604 * [taylor]: Taking taylor expansion of 2.0 in x 0.604 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.604 * [taylor]: Taking taylor expansion of x in x 0.605 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of y in x 0.605 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.605 * [taylor]: Taking taylor expansion of 2.0 in y 0.605 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.609 * [taylor]: Taking taylor expansion of 0 in y 0.613 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [taylor]: Taking taylor expansion of 0 in y 0.618 * [approximate]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.618 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.618 * [taylor]: Taking taylor expansion of -1 in y 0.618 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.618 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.618 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.618 * [taylor]: Taking taylor expansion of 2.0 in y 0.618 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.618 * [taylor]: Taking taylor expansion of -1 in y 0.618 * [taylor]: Taking taylor expansion of x in y 0.618 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.618 * [taylor]: Taking taylor expansion of -1 in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.620 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.620 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.620 * [taylor]: Taking taylor expansion of 2.0 in x 0.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.620 * [taylor]: Taking taylor expansion of -1 in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (* -1 (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.621 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.621 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.621 * [taylor]: Taking taylor expansion of 2.0 in x 0.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.622 * [taylor]: Taking taylor expansion of -1 in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.623 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.623 * [taylor]: Taking taylor expansion of 2.0 in y 0.623 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.631 * [taylor]: Taking taylor expansion of 0 in y 0.642 * [taylor]: Taking taylor expansion of 0 in y 0.644 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.644 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in (x y) around 0 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in y 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in y 0.644 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.644 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.644 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.644 * [taylor]: Taking taylor expansion of 2.0 in y 0.644 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of y in y 0.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.644 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.644 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.644 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.645 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.645 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.645 * [taylor]: Taking taylor expansion of 2.0 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (fma 2.0 x y) y)) in x 0.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (* (fma 2.0 x y) y) in x 0.645 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.645 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.645 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.645 * [taylor]: Taking taylor expansion of 2.0 in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.646 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.646 * [taylor]: Taking taylor expansion of y in y 0.647 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.647 * [taylor]: Taking taylor expansion of 2.0 in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of 1 in y 0.651 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in (x y) around 0 0.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in y 0.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.651 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.651 * [taylor]: Taking taylor expansion of x in y 0.651 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in y 0.651 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.652 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.652 * [taylor]: Taking taylor expansion of 2.0 in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.652 * [taylor]: Taking taylor expansion of x in y 0.652 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.652 * [taylor]: Taking taylor expansion of y in y 0.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.653 * [taylor]: Taking taylor expansion of x in x 0.653 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.653 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.654 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.654 * [taylor]: Taking taylor expansion of 2.0 in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.654 * [taylor]: Taking taylor expansion of x in x 0.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.654 * [taylor]: Taking taylor expansion of y in x 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ (fma 2.0 (/ 1 x) (/ 1 y)) y)) in x 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.655 * [taylor]: Taking taylor expansion of x in x 0.655 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ 1 x) (/ 1 y)) y) in x 0.655 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.656 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.656 * [taylor]: Taking taylor expansion of 2.0 in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.656 * [taylor]: Taking taylor expansion of x in x 0.656 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.656 * [taylor]: Taking taylor expansion of y in x 0.657 * [taylor]: Taking taylor expansion of 1 in y 0.658 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.658 * [taylor]: Taking taylor expansion of 2.0 in y 0.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.658 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.661 * [taylor]: Taking taylor expansion of y in y 0.663 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in (x y) around 0 0.663 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in y 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in y 0.663 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.663 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.663 * [taylor]: Taking taylor expansion of 2.0 in y 0.663 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.663 * [taylor]: Taking taylor expansion of -1 in y 0.663 * [taylor]: Taking taylor expansion of x in y 0.663 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.663 * [taylor]: Taking taylor expansion of -1 in y 0.663 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of y in y 0.664 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.664 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.665 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.665 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.665 * [taylor]: Taking taylor expansion of 2.0 in x 0.665 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.666 * [taylor]: Taking taylor expansion of -1 in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ (fma 2.0 (/ -1 x) (/ -1 y)) y)) in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.667 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (/ (fma 2.0 (/ -1 x) (/ -1 y)) y) in x 0.667 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.667 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.667 * [taylor]: Taking taylor expansion of 2.0 in x 0.667 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.667 * [taylor]: Taking taylor expansion of -1 in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.668 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.668 * [taylor]: Taking taylor expansion of -1 in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.668 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of 1 in y 0.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.670 * [taylor]: Taking taylor expansion of 2.0 in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.673 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.673 * [taylor]: Taking taylor expansion of y in y 0.674 * * * [progress]: simplifying candidates 0.675 * [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)))) 0.680 * * [simplify]: iteration 0 : 165 enodes (cost 192 ) 0.687 * * [simplify]: iteration 1 : 662 enodes (cost 162 ) 0.709 * * [simplify]: iteration 2 : 4080 enodes (cost 156 ) 0.796 * * [simplify]: iteration 3 : 5001 enodes (cost 156 ) 0.797 * [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)) 0.798 * * * [progress]: adding candidates to table 0.884 * [progress]: [Phase 3 of 3] Extracting. 0.884 * * [regime]: Finding splitpoints for: (# #) 0.885 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.885 * * * * [regimes]: Trying to branch on y from (# #) 0.900 * * * * [regimes]: Trying to branch on x from (# #) 0.912 * * * [regime]: Found split indices: #