17.573 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.035 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.040 * * [simplify]: iteration 0 : 18 enodes (cost 5 ) 0.042 * * [simplify]: iteration 1 : 46 enodes (cost 4 ) 0.045 * * [simplify]: iteration 2 : 77 enodes (cost 4 ) 0.047 * * [simplify]: iteration 3 : 87 enodes (cost 3 ) 0.049 * * [simplify]: iteration 4 : 87 enodes (cost 3 ) 0.050 * [simplify]: Simplified to: (fma (fma y 2.0 x) x (* y y)) 0.052 * * [progress]: iteration 1 / 4 0.052 * * * [progress]: picking best candidate 0.056 * * * * [pick]: Picked # 0.056 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.078 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.082 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.082 * [taylor]: Taking taylor expansion of 2.0 in y 0.082 * [taylor]: Taking taylor expansion of (* x y) in y 0.082 * [taylor]: Taking taylor expansion of x in y 0.082 * [taylor]: Taking taylor expansion of y in y 0.082 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 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 (+ (pow y 2) (* 2.0 (* x y))) in x 0.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.082 * [taylor]: Taking taylor expansion of y in x 0.082 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.082 * [taylor]: Taking taylor expansion of 2.0 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 (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.082 * [taylor]: Taking taylor expansion of x in x 0.083 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) 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 (* x y)) in x 0.083 * [taylor]: Taking taylor expansion of 2.0 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 (pow y 2) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.084 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.084 * [taylor]: Taking taylor expansion of 2.0 in y 0.084 * [taylor]: Taking taylor expansion of y in y 0.087 * [taylor]: Taking taylor expansion of 1 in y 0.088 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.089 * [taylor]: Taking taylor expansion of x in y 0.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.089 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.090 * [taylor]: Taking taylor expansion of 2.0 in y 0.090 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.090 * [taylor]: Taking taylor expansion of (* x y) in y 0.090 * [taylor]: Taking taylor expansion of x in y 0.090 * [taylor]: Taking taylor expansion of y in y 0.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.091 * [taylor]: Taking taylor expansion of 2.0 in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.091 * [taylor]: Taking taylor expansion of (* x y) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of y in x 0.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.092 * [taylor]: Taking taylor expansion of y in x 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.092 * [taylor]: Taking taylor expansion of 2.0 in x 0.092 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 1 in y 0.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.094 * [taylor]: Taking taylor expansion of 2.0 in y 0.094 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.100 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.101 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y 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)) (+ (/ 1 (pow y 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y 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 0.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 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 0.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.105 * [taylor]: Taking taylor expansion of 2.0 in x 0.105 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.105 * [taylor]: Taking taylor expansion of (* x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of 1 in y 0.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.107 * [taylor]: Taking taylor expansion of 2.0 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.111 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.111 * [taylor]: Taking taylor expansion of 2.0 in y 0.111 * [taylor]: Taking taylor expansion of (* x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of 2.0 in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.111 * [taylor]: Taking taylor expansion of x in x 0.111 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.111 * [taylor]: Taking taylor expansion of 2.0 in x 0.111 * [taylor]: Taking taylor expansion of (* x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.113 * [taylor]: Taking taylor expansion of 2.0 in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 1 in y 0.118 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.122 * [taylor]: Taking taylor expansion of 2.0 in y 0.122 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.122 * [taylor]: Taking taylor expansion of (* x y) in y 0.122 * [taylor]: Taking taylor expansion of x in y 0.122 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.123 * [taylor]: Taking taylor expansion of 2.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.123 * [taylor]: Taking taylor expansion of (* x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.124 * [taylor]: Taking taylor expansion of 2.0 in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.124 * [taylor]: Taking taylor expansion of (* x y) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of 2.0 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of 0 in y 0.133 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.138 * [taylor]: Taking taylor expansion of 2.0 in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.138 * [taylor]: Taking taylor expansion of (* x y) in y 0.138 * [taylor]: Taking taylor expansion of x in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.139 * [taylor]: Taking taylor expansion of 2.0 in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.139 * [taylor]: Taking taylor expansion of (* x y) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.140 * [taylor]: Taking taylor expansion of 2.0 in x 0.140 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.140 * [taylor]: Taking taylor expansion of (* x y) in x 0.140 * [taylor]: Taking taylor expansion of x in x 0.140 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.142 * [taylor]: Taking taylor expansion of 2.0 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.153 * * * [progress]: simplifying candidates 0.153 * [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))) 0.158 * * [simplify]: iteration 0 : 204 enodes (cost 251 ) 0.164 * * [simplify]: iteration 1 : 1082 enodes (cost 223 ) 0.193 * * [simplify]: iteration 2 : 5002 enodes (cost 196 ) 0.195 * [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)) 0.195 * * * [progress]: adding candidates to table 0.288 * * [progress]: iteration 2 / 4 0.288 * * * [progress]: picking best candidate 0.293 * * * * [pick]: Picked # 0.294 * * * [progress]: localizing error 0.301 * * * [progress]: generating rewritten candidates 0.301 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.302 * * * [progress]: generating series expansions 0.302 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.302 * [approximate]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in (y x) around 0 0.302 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in x 0.302 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.302 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in x 0.302 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.302 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.302 * [taylor]: Taking taylor expansion of 2.0 in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.302 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.302 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.303 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.303 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (fma y (fma 2.0 x y) (pow x 2)) in y 0.303 * [taylor]: Rewrote expression to (+ (* y (fma 2.0 x y)) (pow x 2)) 0.303 * [taylor]: Taking taylor expansion of (* y (fma 2.0 x y)) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (fma 2.0 x y) in y 0.303 * [taylor]: Rewrote expression to (+ (* 2.0 x) y) 0.303 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.303 * [taylor]: Taking taylor expansion of 2.0 in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.303 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.305 * [taylor]: Taking taylor expansion of 2.0 in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of 1 in x 0.309 * [approximate]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in (y x) around 0 0.309 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in x 0.309 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.309 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in x 0.309 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of 2.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in x 0.310 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.310 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.310 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.310 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.310 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.311 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.311 * [taylor]: Taking taylor expansion of 2.0 in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.311 * [taylor]: Taking taylor expansion of x in y 0.311 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y)) (pow (/ 1 x) 2)) in y 0.311 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) (pow (/ 1 x) 2)) 0.311 * [taylor]: Taking taylor expansion of (* (/ 1 y) (fma 2.0 (/ 1 x) (/ 1 y))) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (fma 2.0 (/ 1 x) (/ 1 y)) in y 0.312 * [taylor]: Rewrote expression to (+ (* 2.0 (/ 1 x)) (/ 1 y)) 0.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.312 * [taylor]: Taking taylor expansion of 2.0 in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of (pow (/ 1 x) 2) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.313 * [taylor]: Taking taylor expansion of 1 in x 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.315 * [taylor]: Taking taylor expansion of 2.0 in x 0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.315 * [taylor]: Taking taylor expansion of x in x 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.317 * [taylor]: Taking taylor expansion of x in x 0.319 * [approximate]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in (y x) around 0 0.319 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in x 0.319 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.319 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in x 0.319 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.319 * [taylor]: Taking taylor expansion of -1 in x 0.319 * [taylor]: Taking taylor expansion of y in x 0.319 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in x 0.320 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in x 0.320 * [taylor]: Taking taylor expansion of 2.0 in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in x 0.320 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.320 * [taylor]: Taking taylor expansion of -1 in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.321 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.321 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.321 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.321 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.321 * [taylor]: Taking taylor expansion of -1 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.321 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.321 * [taylor]: Taking taylor expansion of 2.0 in y 0.321 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.321 * [taylor]: Taking taylor expansion of -1 in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.321 * [taylor]: Taking taylor expansion of -1 in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.322 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.322 * [taylor]: Taking taylor expansion of -1 in y 0.322 * [taylor]: Taking taylor expansion of x in y 0.322 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y)) (pow (/ -1 x) 2)) in y 0.322 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) (pow (/ -1 x) 2)) 0.322 * [taylor]: Taking taylor expansion of (* (/ -1 y) (fma 2.0 (/ -1 x) (/ -1 y))) in y 0.322 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.322 * [taylor]: Taking taylor expansion of -1 in y 0.322 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (fma 2.0 (/ -1 x) (/ -1 y)) in y 0.323 * [taylor]: Rewrote expression to (+ (* 2.0 (/ -1 x)) (/ -1 y)) 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ -1 x)) in y 0.323 * [taylor]: Taking taylor expansion of 2.0 in y 0.323 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (pow (/ -1 x) 2) in y 0.323 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.323 * [taylor]: Taking taylor expansion of -1 in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of 1 in x 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of 2.0 in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.329 * [taylor]: Taking taylor expansion of x in x 0.330 * * * [progress]: simplifying candidates 0.330 * [simplify]: Simplifying using # : (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (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 y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (+ (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)))) 0.334 * * [simplify]: iteration 0 : 41 enodes (cost 68 ) 0.336 * * [simplify]: iteration 1 : 97 enodes (cost 52 ) 0.340 * * [simplify]: iteration 2 : 453 enodes (cost 52 ) 0.351 * * [simplify]: iteration 3 : 2426 enodes (cost 52 ) 0.426 * * [simplify]: iteration 4 : 5002 enodes (cost 52 ) 0.427 * [simplify]: Simplified to: (expm1 (fma y (fma 2.0 x y) (pow x 2))) (log1p (fma y (fma 2.0 x y) (pow x 2))) (* y (fma 2.0 x y)) (log (fma y (fma 2.0 x y) (pow x 2))) (exp (fma y (fma 2.0 x y) (pow x 2))) (* (cbrt (fma y (fma 2.0 x y) (pow x 2))) (cbrt (fma y (fma 2.0 x y) (pow x 2)))) (cbrt (fma y (fma 2.0 x y) (pow x 2))) (pow (fma y (fma 2.0 x y) (pow x 2)) 3) (sqrt (fma y (fma 2.0 x y) (pow x 2))) (sqrt (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 y (fma 2.0 x y) (pow x 2)) 0.427 * * * [progress]: adding candidates to table 0.461 * * [progress]: iteration 3 / 4 0.461 * * * [progress]: picking best candidate 0.464 * * * * [pick]: Picked # 0.464 * * * [progress]: localizing error 0.472 * * * [progress]: generating rewritten candidates 0.472 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.475 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.476 * * * [progress]: generating series expansions 0.476 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.476 * [approximate]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in (x y) around 0 0.476 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in y 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.476 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.476 * [taylor]: Taking taylor expansion of (* x x) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.476 * [taylor]: Taking taylor expansion of 2.0 in y 0.476 * [taylor]: Taking taylor expansion of (* x y) in y 0.476 * [taylor]: Taking taylor expansion of x in y 0.476 * [taylor]: Taking taylor expansion of y in y 0.477 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.477 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.477 * [taylor]: Taking taylor expansion of (* x x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.477 * [taylor]: Taking taylor expansion of 2.0 in x 0.477 * [taylor]: Taking taylor expansion of (* x y) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ (pow y 2) (fma x x (* 2.0 (* x y)))) in x 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.477 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.477 * [taylor]: Taking taylor expansion of (* x x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.477 * [taylor]: Taking taylor expansion of 2.0 in x 0.477 * [taylor]: Taking taylor expansion of (* x y) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.479 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.480 * [taylor]: Taking taylor expansion of 2.0 in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.482 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in (x y) around 0 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.485 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.485 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.485 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.485 * [taylor]: Taking taylor expansion of 2.0 in y 0.485 * [taylor]: Taking taylor expansion of (* x y) in y 0.485 * [taylor]: Taking taylor expansion of x in y 0.485 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.486 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.487 * [taylor]: Taking taylor expansion of 2.0 in x 0.487 * [taylor]: Taking taylor expansion of (* x y) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y)))) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.487 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.487 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.488 * [taylor]: Taking taylor expansion of 2.0 in x 0.488 * [taylor]: Taking taylor expansion of (* x y) in x 0.488 * [taylor]: Taking taylor expansion of x in x 0.488 * [taylor]: Taking taylor expansion of y in x 0.489 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.490 * [taylor]: Taking taylor expansion of 2.0 in y 0.490 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.490 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.495 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.495 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.495 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.495 * [taylor]: Taking taylor expansion of 2.0 in y 0.495 * [taylor]: Taking taylor expansion of (* x y) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.496 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.496 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.496 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.496 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.496 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.497 * [taylor]: Taking taylor expansion of -1 in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.497 * [taylor]: Taking taylor expansion of 2.0 in x 0.497 * [taylor]: Taking taylor expansion of (* x y) in x 0.497 * [taylor]: Taking taylor expansion of x in x 0.497 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.498 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) (/ 1 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.498 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.498 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.498 * [taylor]: Taking taylor expansion of -1 in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.499 * [taylor]: Taking taylor expansion of 2.0 in x 0.499 * [taylor]: Taking taylor expansion of (* x y) in x 0.499 * [taylor]: Taking taylor expansion of x in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.502 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.502 * [taylor]: Taking taylor expansion of 2.0 in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.505 * [taylor]: Taking taylor expansion of y in y 0.506 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.506 * [approximate]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in (x y) around 0 0.506 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in y 0.506 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.506 * [taylor]: Taking taylor expansion of (* x x) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.506 * [taylor]: Taking taylor expansion of 2.0 in y 0.506 * [taylor]: Taking taylor expansion of (* x y) in y 0.506 * [taylor]: Taking taylor expansion of x in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.506 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.506 * [taylor]: Taking taylor expansion of (* x x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.506 * [taylor]: Taking taylor expansion of 2.0 in x 0.506 * [taylor]: Taking taylor expansion of (* x y) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of (fma x x (* 2.0 (* x y))) in x 0.507 * [taylor]: Rewrote expression to (+ (* x x) (* 2.0 (* x y))) 0.507 * [taylor]: Taking taylor expansion of (* x x) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.507 * [taylor]: Taking taylor expansion of 2.0 in x 0.507 * [taylor]: Taking taylor expansion of (* x y) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.509 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.509 * [taylor]: Taking taylor expansion of 2.0 in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.511 * [taylor]: Taking taylor expansion of 1 in y 0.517 * [taylor]: Taking taylor expansion of 0 in y 0.520 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in (x y) around 0 0.521 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in y 0.521 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.521 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.521 * [taylor]: Taking taylor expansion of 2.0 in y 0.521 * [taylor]: Taking taylor expansion of (* x y) in y 0.521 * [taylor]: Taking taylor expansion of x in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.522 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.522 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.522 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.522 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.522 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.523 * [taylor]: Taking taylor expansion of 2.0 in x 0.523 * [taylor]: Taking taylor expansion of (* x y) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of y in x 0.523 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 2.0 (* x y))) in x 0.523 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 2.0 (* x y))) 0.523 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.523 * [taylor]: Taking taylor expansion of x in x 0.523 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.524 * [taylor]: Taking taylor expansion of 2.0 in x 0.524 * [taylor]: Taking taylor expansion of (* x y) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of 1 in y 0.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.526 * [taylor]: Taking taylor expansion of 2.0 in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of 0 in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.537 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in y 0.538 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.538 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.538 * [taylor]: Taking taylor expansion of -1 in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.538 * [taylor]: Taking taylor expansion of -1 in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in y 0.538 * [taylor]: Taking taylor expansion of 2.0 in y 0.538 * [taylor]: Taking taylor expansion of (* x y) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.539 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.539 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.539 * [taylor]: Taking taylor expansion of -1 in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.540 * [taylor]: Taking taylor expansion of 2.0 in x 0.540 * [taylor]: Taking taylor expansion of (* x y) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 2.0 (* x y))) in x 0.540 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 2.0 (* x y))) 0.540 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x 0.540 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.540 * [taylor]: Taking taylor expansion of -1 in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.541 * [taylor]: Taking taylor expansion of -1 in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of (/ 2.0 (* x y)) in x 0.541 * [taylor]: Taking taylor expansion of 2.0 in x 0.541 * [taylor]: Taking taylor expansion of (* x y) in x 0.541 * [taylor]: Taking taylor expansion of x in x 0.541 * [taylor]: Taking taylor expansion of y in x 0.542 * [taylor]: Taking taylor expansion of 1 in y 0.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.543 * [taylor]: Taking taylor expansion of 2.0 in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [taylor]: Taking taylor expansion of 0 in y 0.555 * [taylor]: Taking taylor expansion of 0 in y 0.555 * * * [progress]: simplifying candidates 0.556 * [simplify]: Simplifying using # : (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)) (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))) (+ (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))) 0.560 * * [simplify]: iteration 0 : 121 enodes (cost 188 ) 0.564 * * [simplify]: iteration 1 : 478 enodes (cost 167 ) 0.574 * * [simplify]: iteration 2 : 1983 enodes (cost 156 ) 0.625 * * [simplify]: iteration 3 : 5002 enodes (cost 149 ) 0.627 * [simplify]: Simplified to: (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) (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))) (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 y 2.0 x) x) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) 0.627 * * * [progress]: adding candidates to table 0.714 * * [progress]: iteration 4 / 4 0.714 * * * [progress]: picking best candidate 0.716 * * * * [pick]: Picked # 0.716 * * * [progress]: localizing error 0.722 * * * [progress]: generating rewritten candidates 0.723 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.723 * * * [progress]: generating series expansions 0.723 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.723 * [approximate]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in (y x) around 0 0.723 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in x 0.723 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in x 0.724 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 0.724 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.724 * [taylor]: Taking taylor expansion of (* y 2.0) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of 2.0 in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of x in x 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.724 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.724 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.724 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.724 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.724 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of 2.0 in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (fma (fma y 2.0 x) x (pow y 2)) in y 0.724 * [taylor]: Rewrote expression to (+ (* (fma y 2.0 x) x) (pow y 2)) 0.724 * [taylor]: Taking taylor expansion of (* (fma y 2.0 x) x) in y 0.724 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 0.724 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 0.724 * [taylor]: Taking taylor expansion of (* y 2.0) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of 2.0 in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.727 * [taylor]: Taking taylor expansion of 2.0 in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.729 * [taylor]: Taking taylor expansion of 1 in x 0.731 * [approximate]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in (y x) around 0 0.731 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in x 0.731 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.731 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in x 0.731 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 0.731 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.731 * [taylor]: Taking taylor expansion of y in x 0.731 * [taylor]: Taking taylor expansion of 2.0 in x 0.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.731 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.732 * [taylor]: Taking taylor expansion of x in x 0.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.732 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.732 * [taylor]: Taking taylor expansion of y in x 0.732 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.732 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.732 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.732 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.733 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.733 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of 2.0 in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (fma (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x) (/ 1 (pow y 2))) in y 0.734 * [taylor]: Rewrote expression to (+ (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) (/ 1 (pow y 2))) 0.734 * [taylor]: Taking taylor expansion of (* (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 x)) in y 0.734 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 0.734 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of 2.0 in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.734 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.735 * [taylor]: Taking taylor expansion of y in y 0.735 * [taylor]: Taking taylor expansion of 1 in x 0.737 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of 2.0 in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.740 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.742 * [approximate]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in (y x) around 0 0.742 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in x 0.742 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.742 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 0.742 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.742 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 0.742 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of 2.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.742 * [taylor]: Taking taylor expansion of -1 in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.743 * [taylor]: Taking taylor expansion of -1 in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.743 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.743 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.743 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.743 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.743 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.743 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.743 * [taylor]: Taking taylor expansion of -1 in y 0.743 * [taylor]: Taking taylor expansion of y in y 0.744 * [taylor]: Taking taylor expansion of 2.0 in y 0.744 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.744 * [taylor]: Taking taylor expansion of -1 in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.744 * [taylor]: Taking taylor expansion of -1 in y 0.744 * [taylor]: Taking taylor expansion of x in y 0.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.744 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of (fma (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x) (/ 1 (pow y 2))) in y 0.745 * [taylor]: Rewrote expression to (+ (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) (/ 1 (pow y 2))) 0.745 * [taylor]: Taking taylor expansion of (* (fma (/ -1 y) 2.0 (/ -1 x)) (/ -1 x)) in y 0.745 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 0.745 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 0.745 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 0.745 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.745 * [taylor]: Taking taylor expansion of -1 in y 0.745 * [taylor]: Taking taylor expansion of y in y 0.745 * [taylor]: Taking taylor expansion of 2.0 in y 0.745 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.745 * [taylor]: Taking taylor expansion of -1 in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.745 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.745 * [taylor]: Taking taylor expansion of -1 in y 0.745 * [taylor]: Taking taylor expansion of x in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.746 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.746 * [taylor]: Taking taylor expansion of 1 in x 0.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.748 * [taylor]: Taking taylor expansion of 2.0 in x 0.748 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.748 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.753 * * * [progress]: simplifying candidates 0.753 * [simplify]: Simplifying using # : (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (* (* (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.756 * * [simplify]: iteration 0 : 42 enodes (cost 68 ) 0.759 * * [simplify]: iteration 1 : 104 enodes (cost 52 ) 0.763 * * [simplify]: iteration 2 : 467 enodes (cost 52 ) 0.774 * * [simplify]: iteration 3 : 2419 enodes (cost 52 ) 0.850 * * [simplify]: iteration 4 : 5001 enodes (cost 52 ) 0.851 * [simplify]: Simplified to: (expm1 (fma (fma y 2.0 x) x (* y y))) (log1p (fma (fma y 2.0 x) x (* y y))) (* (fma y 2.0 x) x) (log (fma (fma y 2.0 x) x (* y y))) (exp (fma (fma y 2.0 x) x (* y y))) (* (cbrt (fma (fma y 2.0 x) x (* y y))) (cbrt (fma (fma y 2.0 x) x (* y y)))) (cbrt (fma (fma y 2.0 x) x (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 0.851 * * * [progress]: adding candidates to table 0.883 * [progress]: [Phase 3 of 3] Extracting. 0.884 * * [regime]: Finding splitpoints for: (# # #) 0.884 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.884 * * * * [regimes]: Trying to branch on y from (# # #) 0.899 * * * * [regimes]: Trying to branch on x from (# # #) 0.914 * * * [regime]: Found split indices: #