23.359 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.026 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.027 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.030 * * [simplify]: iteration 2 : 44 enodes (cost 10 ) 0.037 * * [simplify]: iteration 3 : 69 enodes (cost 9 ) 0.045 * * [simplify]: iteration 4 : 71 enodes (cost 9 ) 0.054 * * [simplify]: iteration done : 71 enodes (cost 9 ) 0.054 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.061 * * [progress]: iteration 1 / 4 0.061 * * * [progress]: picking best candidate 0.065 * * * * [pick]: Picked # 0.065 * * * [progress]: localizing error 0.073 * * * [progress]: generating rewritten candidates 0.073 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.088 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.092 * * * [progress]: generating series expansions 0.092 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.092 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.092 * [taylor]: Taking taylor expansion of 2.0 in y 0.092 * [taylor]: Taking taylor expansion of (* x y) in y 0.092 * [taylor]: Taking taylor expansion of x in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 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 (+ (pow y 2) (* 2.0 (* x y))) 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 (* 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) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.093 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.093 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.093 * [taylor]: Taking taylor expansion of 2.0 in x 0.093 * [taylor]: Taking taylor expansion of (* x y) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of y in x 0.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.094 * [taylor]: Taking taylor expansion of y in y 0.094 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.095 * [taylor]: Taking taylor expansion of 2.0 in y 0.095 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of 1 in y 0.099 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.099 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.099 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.100 * [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 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.100 * [taylor]: Taking taylor expansion of (* x y) in y 0.100 * [taylor]: Taking taylor expansion of x in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.101 * [taylor]: Taking taylor expansion of x in x 0.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.101 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.101 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.102 * [taylor]: Taking taylor expansion of 2.0 in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.102 * [taylor]: Taking taylor expansion of (* x y) in x 0.102 * [taylor]: Taking taylor expansion of x in x 0.102 * [taylor]: Taking taylor expansion of y in x 0.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.102 * [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 0.103 * [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 in y 0.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.105 * [taylor]: Taking taylor expansion of 2.0 in y 0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.110 * [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 0.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.110 * [taylor]: Taking taylor expansion of 2.0 in y 0.110 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.110 * [taylor]: Taking taylor expansion of (* x y) in y 0.110 * [taylor]: Taking taylor expansion of x in y 0.110 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.112 * [taylor]: Taking taylor expansion of 2.0 in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.112 * [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 (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.113 * [taylor]: Taking taylor expansion of 2.0 in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.113 * [taylor]: Taking taylor expansion of (* x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of 1 in y 0.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of 2.0 in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.119 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.119 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.119 * [taylor]: Taking taylor expansion of 2.0 in y 0.119 * [taylor]: Taking taylor expansion of (* x y) in y 0.119 * [taylor]: Taking taylor expansion of x in y 0.119 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.120 * [taylor]: Taking taylor expansion of 2.0 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 0.120 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) 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 (* x y)) in x 0.120 * [taylor]: Taking taylor expansion of 2.0 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 0.120 * [taylor]: Taking taylor expansion of 0 in y 0.121 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.121 * [taylor]: Taking taylor expansion of 2.0 in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.127 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [taylor]: Taking taylor expansion of 0 in y 0.131 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.131 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.131 * [taylor]: Taking taylor expansion of 2.0 in y 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.131 * [taylor]: Taking taylor expansion of (* x y) in y 0.131 * [taylor]: Taking taylor expansion of x in y 0.131 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.133 * [taylor]: Taking taylor expansion of 2.0 in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.133 * [taylor]: Taking taylor expansion of (* x y) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.133 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) 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 0.135 * [taylor]: Taking taylor expansion of 1 in y 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.136 * [taylor]: Taking taylor expansion of 2.0 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of 0 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.148 * [taylor]: Taking taylor expansion of 2.0 in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.148 * [taylor]: Taking taylor expansion of (* x y) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.149 * [taylor]: Taking taylor expansion of 2.0 in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.149 * [taylor]: Taking taylor expansion of (* x y) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.150 * [taylor]: Taking taylor expansion of 2.0 in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.150 * [taylor]: Taking taylor expansion of (* x y) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.152 * [taylor]: Taking taylor expansion of 2.0 in y 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * * * [progress]: simplifying candidates 0.170 * [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))) 0.173 * * [simplify]: iteration 0 : 62 enodes (cost 573 ) 0.188 * * [simplify]: iteration 1 : 203 enodes (cost 480 ) 0.301 * * [simplify]: iteration 2 : 869 enodes (cost 387 ) 0.755 * * [simplify]: iteration 3 : 3651 enodes (cost 360 ) 1.948 * * [simplify]: iteration done : 5000 enodes (cost 360 ) 1.949 * [simplify]: Simplified to: (expm1 (fma x x (* (fma x 2.0 y) y))) (log1p (fma x x (* (fma x 2.0 y) y))) (exp (fma x x (* (fma x 2.0 y) y))) (exp (fma x x (* (fma x 2.0 y) y))) (log (fma x x (* (fma x 2.0 y) y))) (exp (fma x x (* (fma x 2.0 y) y))) (* (cbrt (fma x x (* (fma x 2.0 y) y))) (cbrt (fma x x (* (fma x 2.0 y) y)))) (cbrt (fma x x (* (fma x 2.0 y) y))) (pow (fma x x (* (fma x 2.0 y) y)) 3) (sqrt (fma x x (* (fma x 2.0 y) y))) (sqrt (fma x x (* (fma x 2.0 y) y))) (+ (pow y 6) (pow (* (fma y 2.0 x) x) 3)) (+ (pow y 4) (* (* (fma y 2.0 x) x) (fma x x (* y (- (* x 2.0) y))))) (fma (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))) (* (fma x 2.0 y) y) (expm1 (* (fma y 2.0 x) x)) (log1p (* (fma y 2.0 x) x)) (pow (exp x) (fma y 2.0 x)) (log (* (fma y 2.0 x) x)) (pow (exp x) (fma y 2.0 x)) (* (cbrt (* (fma y 2.0 x) x)) (cbrt (* (fma y 2.0 x) x))) (cbrt (* (fma y 2.0 x) x)) (pow (* (fma y 2.0 x) x) 3) (sqrt (* (fma y 2.0 x) x)) (sqrt (* (fma y 2.0 x) x)) (+ (pow (* (* x 2.0) y) 3) (pow x 6)) (fma (* (* x 2.0) y) (* x (- (* 2.0 y) x)) (pow x 4)) (* (* (* x x) (fma y 2.0 x)) (- x (* 2.0 y))) (* x (- x (* 2.0 y))) (fma x x (* (fma x 2.0 y) y)) (fma x x (* (fma x 2.0 y) y)) (fma x x (* (fma x 2.0 y) y)) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) (* (fma y 2.0 x) x) 1.949 * * * [progress]: adding candidates to table 2.060 * * [progress]: iteration 2 / 4 2.060 * * * [progress]: picking best candidate 2.063 * * * * [pick]: Picked # 2.063 * * * [progress]: localizing error 2.069 * * * [progress]: generating rewritten candidates 2.070 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.070 * * * [progress]: generating series expansions 2.070 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.071 * [approximate]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in (x y) around 0 2.071 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in y 2.071 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 2.071 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in y 2.071 * [taylor]: Taking taylor expansion of x in y 2.071 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in y 2.071 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.071 * [taylor]: Taking taylor expansion of (* y 2.0) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.071 * [taylor]: Taking taylor expansion of 2.0 in y 2.071 * [taylor]: Taking taylor expansion of x in y 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.071 * [taylor]: Taking taylor expansion of y in y 2.071 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 2.071 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 2.071 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 2.071 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.071 * [taylor]: Taking taylor expansion of (* y 2.0) in x 2.071 * [taylor]: Taking taylor expansion of y in x 2.071 * [taylor]: Taking taylor expansion of 2.0 in x 2.071 * [taylor]: Taking taylor expansion of x in x 2.071 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.071 * [taylor]: Taking taylor expansion of y in x 2.071 * [taylor]: Taking taylor expansion of (fma x (fma y 2.0 x) (pow y 2)) in x 2.072 * [taylor]: Rewrote expression to (+ (* x (fma y 2.0 x)) (pow y 2)) 2.072 * [taylor]: Taking taylor expansion of (* x (fma y 2.0 x)) in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of (fma y 2.0 x) in x 2.072 * [taylor]: Rewrote expression to (+ (* y 2.0) x) 2.072 * [taylor]: Taking taylor expansion of (* y 2.0) in x 2.072 * [taylor]: Taking taylor expansion of y in x 2.072 * [taylor]: Taking taylor expansion of 2.0 in x 2.072 * [taylor]: Taking taylor expansion of x in x 2.072 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.072 * [taylor]: Taking taylor expansion of y in x 2.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.072 * [taylor]: Taking taylor expansion of y in y 2.074 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 2.074 * [taylor]: Taking taylor expansion of 2.0 in y 2.074 * [taylor]: Taking taylor expansion of y in y 2.076 * [taylor]: Taking taylor expansion of 1 in y 2.078 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in (x y) around 0 2.078 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in y 2.078 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.078 * [taylor]: Taking taylor expansion of x in y 2.078 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in y 2.078 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.078 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in y 2.078 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.078 * [taylor]: Taking taylor expansion of y in y 2.079 * [taylor]: Taking taylor expansion of 2.0 in y 2.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.079 * [taylor]: Taking taylor expansion of x in y 2.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.079 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.079 * [taylor]: Taking taylor expansion of y in y 2.080 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 2.080 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.080 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.080 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 2.080 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.080 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.080 * [taylor]: Taking taylor expansion of y in x 2.080 * [taylor]: Taking taylor expansion of 2.0 in x 2.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.080 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.081 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.081 * [taylor]: Taking taylor expansion of y in x 2.081 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x)) (/ 1 (pow y 2))) in x 2.081 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) (/ 1 (pow y 2))) 2.081 * [taylor]: Taking taylor expansion of (* (/ 1 x) (fma (/ 1 y) 2.0 (/ 1 x))) in x 2.081 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.081 * [taylor]: Taking taylor expansion of x in x 2.081 * [taylor]: Taking taylor expansion of (fma (/ 1 y) 2.0 (/ 1 x)) in x 2.082 * [taylor]: Rewrote expression to (+ (* (/ 1 y) 2.0) (/ 1 x)) 2.082 * [taylor]: Taking taylor expansion of (* (/ 1 y) 2.0) in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.082 * [taylor]: Taking taylor expansion of 2.0 in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.082 * [taylor]: Taking taylor expansion of x in x 2.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.082 * [taylor]: Taking taylor expansion of y in x 2.083 * [taylor]: Taking taylor expansion of 1 in y 2.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.085 * [taylor]: Taking taylor expansion of 2.0 in y 2.085 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.085 * [taylor]: Taking taylor expansion of y in y 2.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.088 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.088 * [taylor]: Taking taylor expansion of y in y 2.090 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in (x y) around 0 2.090 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in y 2.090 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 2.090 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in y 2.090 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.090 * [taylor]: Taking taylor expansion of -1 in y 2.090 * [taylor]: Taking taylor expansion of x in y 2.090 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in y 2.090 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 2.090 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in y 2.090 * [taylor]: Taking taylor expansion of (/ -1 y) in y 2.090 * [taylor]: Taking taylor expansion of -1 in y 2.090 * [taylor]: Taking taylor expansion of y in y 2.091 * [taylor]: Taking taylor expansion of 2.0 in y 2.091 * [taylor]: Taking taylor expansion of (/ -1 x) in y 2.091 * [taylor]: Taking taylor expansion of -1 in y 2.091 * [taylor]: Taking taylor expansion of x in y 2.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.091 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.091 * [taylor]: Taking taylor expansion of y in y 2.092 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 2.092 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 2.092 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 2.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.092 * [taylor]: Taking taylor expansion of -1 in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.092 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 2.092 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 2.092 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 2.092 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.092 * [taylor]: Taking taylor expansion of -1 in x 2.092 * [taylor]: Taking taylor expansion of y in x 2.092 * [taylor]: Taking taylor expansion of 2.0 in x 2.092 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.092 * [taylor]: Taking taylor expansion of -1 in x 2.092 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.093 * [taylor]: Taking taylor expansion of y in x 2.093 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x)) (/ 1 (pow y 2))) in x 2.093 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) (/ 1 (pow y 2))) 2.093 * [taylor]: Taking taylor expansion of (* (/ -1 x) (fma (/ -1 y) 2.0 (/ -1 x))) in x 2.093 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.093 * [taylor]: Taking taylor expansion of -1 in x 2.093 * [taylor]: Taking taylor expansion of x in x 2.093 * [taylor]: Taking taylor expansion of (fma (/ -1 y) 2.0 (/ -1 x)) in x 2.093 * [taylor]: Rewrote expression to (+ (* (/ -1 y) 2.0) (/ -1 x)) 2.094 * [taylor]: Taking taylor expansion of (* (/ -1 y) 2.0) in x 2.094 * [taylor]: Taking taylor expansion of (/ -1 y) in x 2.094 * [taylor]: Taking taylor expansion of -1 in x 2.094 * [taylor]: Taking taylor expansion of y in x 2.094 * [taylor]: Taking taylor expansion of 2.0 in x 2.094 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.094 * [taylor]: Taking taylor expansion of -1 in x 2.094 * [taylor]: Taking taylor expansion of x in x 2.094 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.094 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.094 * [taylor]: Taking taylor expansion of y in x 2.095 * [taylor]: Taking taylor expansion of 1 in y 2.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.096 * [taylor]: Taking taylor expansion of 2.0 in y 2.096 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.097 * [taylor]: Taking taylor expansion of y in y 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.099 * [taylor]: Taking taylor expansion of y in y 2.101 * * * [progress]: simplifying candidates 2.101 * [simplify]: Simplifying using # : (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* x (fma y 2.0 x)) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (* (* (fma x (fma y 2.0 x) (* y y)) (fma x (fma y 2.0 x) (* y y))) (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 2.102 * * [simplify]: iteration 0 : 23 enodes (cost 165 ) 2.106 * * [simplify]: iteration 1 : 43 enodes (cost 165 ) 2.115 * * [simplify]: iteration 2 : 95 enodes (cost 135 ) 2.134 * * [simplify]: iteration 3 : 275 enodes (cost 135 ) 2.443 * * [simplify]: iteration 4 : 1209 enodes (cost 135 ) 3.218 * * [simplify]: iteration done : 5000 enodes (cost 135 ) 3.218 * [simplify]: Simplified to: (expm1 (fma x (fma y 2.0 x) (* y y))) (log1p (fma x (fma y 2.0 x) (* y y))) (* (fma y 2.0 x) x) (log (fma x (fma y 2.0 x) (* y y))) (exp (fma x (fma y 2.0 x) (* y y))) (* (cbrt (fma x (fma y 2.0 x) (* y y))) (cbrt (fma x (fma y 2.0 x) (* y y)))) (cbrt (fma x (fma y 2.0 x) (* y y))) (pow (fma (fma y 2.0 x) x (* y y)) 3) (sqrt (fma x (fma y 2.0 x) (* y y))) (sqrt (fma x (fma y 2.0 x) (* y y))) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) (fma (fma y 2.0 x) x (* y y)) 3.218 * * * [progress]: adding candidates to table 3.256 * [progress]: [Phase 3 of 3] Extracting. 3.256 * * [regime]: Finding splitpoints for: (# #) 3.256 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 3.256 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 3.269 * * * * [regimes]: Trying to branch on y from (# #) 3.282 * * * * [regimes]: Trying to branch on x from (# #) 3.294 * * * [regime]: Found split indices: #