23.281 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.043 * * * [progress]: [2/2] Setting up program. 0.045 * [progress]: [Phase 2 of 3] Improving. 0.045 * [simplify]: Simplifying using # : (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.048 * * [simplify]: iteration 0 : 17 enodes (cost 6 ) 0.050 * * [simplify]: iteration 1 : 37 enodes (cost 5 ) 0.052 * * [simplify]: iteration 2 : 46 enodes (cost 5 ) 0.054 * * [simplify]: iteration 3 : 46 enodes (cost 5 ) 0.054 * [simplify]: Simplified to: (+ (* y (+ (* x 2.0) y)) (* x x)) 0.056 * * [progress]: iteration 1 / 4 0.056 * * * [progress]: picking best candidate 0.059 * * * * [pick]: Picked # 0.059 * * * [progress]: localizing error 0.068 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.070 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.082 * * * [progress]: generating series expansions 0.082 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.083 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.083 * [taylor]: Taking taylor expansion of 2.0 in y 0.083 * [taylor]: Taking taylor expansion of (* x y) in y 0.083 * [taylor]: Taking taylor expansion of x in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x 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 x 2) (* 2.0 (* x y))) in x 0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.083 * [taylor]: Taking taylor expansion of x 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 0.084 * [taylor]: Taking taylor expansion of 0 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 0.085 * [taylor]: Taking taylor expansion of y in y 0.089 * [taylor]: Taking taylor expansion of 1 in y 0.092 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [taylor]: Taking taylor expansion of 0 in y 0.096 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.096 * [taylor]: Taking taylor expansion of x in y 0.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.096 * [taylor]: Taking taylor expansion of 2.0 in y 0.097 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.097 * [taylor]: Taking taylor expansion of (* x y) in y 0.097 * [taylor]: Taking taylor expansion of x in y 0.097 * [taylor]: Taking taylor expansion of y in y 0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.097 * [taylor]: Taking taylor expansion of x in x 0.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.097 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.098 * [taylor]: Taking taylor expansion of (* x y) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of y in x 0.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.098 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.098 * [taylor]: Taking taylor expansion of x in x 0.098 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.098 * [taylor]: Taking taylor expansion of 2.0 in x 0.098 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.099 * [taylor]: Taking taylor expansion of (* x y) in x 0.099 * [taylor]: Taking taylor expansion of x in x 0.099 * [taylor]: Taking taylor expansion of y in x 0.099 * [taylor]: Taking taylor expansion of 1 in y 0.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.100 * [taylor]: Taking taylor expansion of 2.0 in y 0.100 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.100 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of 0 in y 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.112 * [taylor]: Taking taylor expansion of 2.0 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.112 * [taylor]: Taking taylor expansion of (* x y) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 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 (* 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 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.114 * [taylor]: Taking taylor expansion of 2.0 in x 0.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.114 * [taylor]: Taking taylor expansion of (* x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [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 0 in y 0.121 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.126 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.126 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.127 * [taylor]: Taking taylor expansion of 2.0 in y 0.127 * [taylor]: Taking taylor expansion of (* x y) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.127 * [taylor]: Taking taylor expansion of 2.0 in x 0.127 * [taylor]: Taking taylor expansion of (* x y) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.128 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.128 * [taylor]: Taking taylor expansion of 2.0 in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.131 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.133 * [taylor]: Taking taylor expansion of 2.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.133 * [taylor]: Taking taylor expansion of (* x y) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 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 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.135 * [taylor]: Taking taylor expansion of (* x y) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.141 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.142 * [taylor]: Taking taylor expansion of 2.0 in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.142 * [taylor]: Taking taylor expansion of (* x y) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.143 * [taylor]: Taking taylor expansion of 2.0 in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.143 * [taylor]: Taking taylor expansion of (* x y) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.144 * [taylor]: Taking taylor expansion of 2.0 in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.144 * [taylor]: Taking taylor expansion of (* x y) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of 2.0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.149 * * * [progress]: simplifying candidates 0.150 * [simplify]: Simplifying using # : (* (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)) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.153 * * [simplify]: iteration 0 : 191 enodes (cost 234 ) 0.158 * * [simplify]: iteration 1 : 998 enodes (cost 212 ) 0.182 * * [simplify]: iteration 2 : 4902 enodes (cost 196 ) 0.309 * * [simplify]: iteration 3 : 5002 enodes (cost 196 ) 0.310 * [simplify]: Simplified to: (pow (exp x) (+ (* 2.0 y) x)) (log (+ (* x x) (* (* x 2.0) y))) (pow (exp x) (+ (* 2.0 y) x)) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (pow (* x (+ (* 2.0 y) x)) 3) (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 (+ (pow x 3) (* (* 2.0 y) (* x (- (* 2.0 y) x))))) (* (* x (- x (* 2.0 y))) (* x (+ (* 2.0 y) x))) (* x (- x (* 2.0 y))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (pow x 2) (* y (+ (* x 2.0) 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))) (pow (+ (pow x 2) (* y (+ (* x 2.0) y))) 3) (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 (+ (* 2.0 y) x)) (+ (* y (- (* x 2.0) y)) (pow x 2))) (pow y 4)) (* (+ (* y (- (* x 2.0) y)) (pow x 2)) (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (* y (- (* x 2.0) y)) (pow x 2)) (* y (+ (* x 2.0) y)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) 0.311 * * * [progress]: adding candidates to table 0.375 * * [progress]: iteration 2 / 4 0.375 * * * [progress]: picking best candidate 0.381 * * * * [pick]: Picked # 0.382 * * * [progress]: localizing error 0.388 * * * [progress]: generating rewritten candidates 0.388 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.393 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.404 * * * [progress]: generating series expansions 0.404 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.404 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.404 * [taylor]: Taking taylor expansion of 2.0 in y 0.405 * [taylor]: Taking taylor expansion of (* x y) in y 0.405 * [taylor]: Taking taylor expansion of x in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.405 * [taylor]: Taking taylor expansion of 2.0 in x 0.405 * [taylor]: Taking taylor expansion of (* x y) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.405 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.405 * [taylor]: Taking taylor expansion of 2.0 in x 0.405 * [taylor]: Taking taylor expansion of (* x y) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.406 * [taylor]: Taking taylor expansion of 2.0 in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.408 * [taylor]: Taking taylor expansion of 1 in y 0.410 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.410 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.410 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.411 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.411 * [taylor]: Taking taylor expansion of 2.0 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.411 * [taylor]: Taking taylor expansion of (* x y) in y 0.411 * [taylor]: Taking taylor expansion of x in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.412 * [taylor]: Taking taylor expansion of 2.0 in x 0.412 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.412 * [taylor]: Taking taylor expansion of (* x y) in x 0.412 * [taylor]: Taking taylor expansion of x in x 0.412 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.413 * [taylor]: Taking taylor expansion of x in x 0.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.413 * [taylor]: Taking taylor expansion of y in x 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.413 * [taylor]: Taking taylor expansion of 2.0 in x 0.413 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.414 * [taylor]: Taking taylor expansion of (* x y) in x 0.414 * [taylor]: Taking taylor expansion of x in x 0.414 * [taylor]: Taking taylor expansion of y in x 0.414 * [taylor]: Taking taylor expansion of 1 in y 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.415 * [taylor]: Taking taylor expansion of 2.0 in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.419 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.420 * [taylor]: Taking taylor expansion of 2.0 in y 0.420 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.420 * [taylor]: Taking taylor expansion of (* x y) in y 0.420 * [taylor]: Taking taylor expansion of x in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.421 * [taylor]: Taking taylor expansion of 2.0 in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.421 * [taylor]: Taking taylor expansion of (* x y) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.422 * [taylor]: Taking taylor expansion of 2.0 in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.422 * [taylor]: Taking taylor expansion of (* x y) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of 1 in y 0.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.423 * [taylor]: Taking taylor expansion of 2.0 in y 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.423 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.427 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.427 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.427 * [taylor]: Taking taylor expansion of 2.0 in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.427 * [taylor]: Taking taylor expansion of 2.0 in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.427 * [taylor]: Taking taylor expansion of 2.0 in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.428 * [taylor]: Taking taylor expansion of 2.0 in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.436 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.436 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.436 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.436 * [taylor]: Taking taylor expansion of 2.0 in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.436 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.436 * [taylor]: Taking taylor expansion of x in y 0.437 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.437 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.437 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.437 * [taylor]: Taking taylor expansion of 2.0 in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.437 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.438 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.438 * [taylor]: Taking taylor expansion of 2.0 in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.440 * [taylor]: Taking taylor expansion of 2.0 in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.450 * [approximate]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in y 0.450 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in y 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.450 * [taylor]: Taking taylor expansion of 2.0 in y 0.450 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of x in y 0.451 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.451 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.451 * [taylor]: Taking taylor expansion of 2.0 in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (/ (+ (* 2.0 (/ 1 y)) (/ 1 x)) x) in x 0.452 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 y)) (/ 1 x)) in x 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.452 * [taylor]: Taking taylor expansion of 2.0 in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.453 * [taylor]: Taking taylor expansion of 1 in y 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.454 * [taylor]: Taking taylor expansion of 2.0 in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.468 * * * [progress]: simplifying candidates 0.469 * [simplify]: Simplifying using # : (* (exp (* x (+ (* 2.0 y) x))) (exp (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* 2.0 y) x)) (+ (log x) (log (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (* (* (* x x) x) (* (* (+ (* 2.0 y) x) (+ (* 2.0 y) x)) (+ (* 2.0 y) x))) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (* (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* (sqrt x) (sqrt (+ (* 2.0 y) x))) (* x (* 2.0 y)) (* x x) (* (* 2.0 y) x) (* x x) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) (* x 1) (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (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))) 0.473 * * [simplify]: iteration 0 : 225 enodes (cost 237 ) 0.479 * * [simplify]: iteration 1 : 1110 enodes (cost 217 ) 0.507 * * [simplify]: iteration 2 : 5002 enodes (cost 217 ) 0.508 * [simplify]: Simplified to: (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (pow (+ (* x (+ (* 2.0 y) x)) (* y y)) 3) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (pow y 2) (- (pow y 2) (* x (+ (* 2.0 y) x)))) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (* x (+ (* 2.0 y) x)) (log (* x (+ (* 2.0 y) x))) (log (* x (+ (* 2.0 y) x))) (exp (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x)))) (cbrt (* x (+ (* 2.0 y) x))) (pow (* x (+ (* 2.0 y) x)) 3) (sqrt (* x (+ (* 2.0 y) x))) (sqrt (* x (+ (* 2.0 y) x))) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* (sqrt (+ (* 2.0 y) x)) (pow x 1/2)) (* x (* 2.0 y)) (pow x 2) (* x (* 2.0 y)) (pow x 2) (* x (* (cbrt (+ (* 2.0 y) x)) (cbrt (+ (* 2.0 y) x)))) (* x (sqrt (+ (* 2.0 y) x))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (pow (* 2.0 y) 3) (pow x 3))) (* x (- (* (* 2.0 y) (* 2.0 y)) (* x x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (+ (pow y 2) (* x (+ (* 2.0 y) x))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) 0.509 * * * [progress]: adding candidates to table 0.582 * * [progress]: iteration 3 / 4 0.582 * * * [progress]: picking best candidate 0.587 * * * * [pick]: Picked # 0.587 * * * [progress]: localizing error 0.596 * * * [progress]: generating rewritten candidates 0.596 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.615 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.653 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.661 * * * [progress]: generating series expansions 0.661 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.661 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.661 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.661 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.661 * [taylor]: Taking taylor expansion of x in y 0.661 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.662 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.662 * [taylor]: Taking taylor expansion of 2.0 in y 0.662 * [taylor]: Taking taylor expansion of (* x y) in y 0.662 * [taylor]: Taking taylor expansion of x in y 0.662 * [taylor]: Taking taylor expansion of y in y 0.663 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.664 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.664 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.664 * [taylor]: Taking taylor expansion of 2.0 in x 0.664 * [taylor]: Taking taylor expansion of (* x y) in x 0.664 * [taylor]: Taking taylor expansion of x in x 0.664 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.665 * [taylor]: Taking taylor expansion of 2.0 in x 0.665 * [taylor]: Taking taylor expansion of (* x y) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.666 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of 1.0 in y 0.670 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [taylor]: Taking taylor expansion of 0 in y 0.674 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.674 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.674 * [taylor]: Taking taylor expansion of x in y 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.674 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.674 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.675 * [taylor]: Taking taylor expansion of 2.0 in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.675 * [taylor]: Taking taylor expansion of (* x y) in y 0.675 * [taylor]: Taking taylor expansion of x in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.677 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.677 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.677 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.678 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.678 * [taylor]: Taking taylor expansion of 2.0 in x 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.678 * [taylor]: Taking taylor expansion of (* x y) in x 0.678 * [taylor]: Taking taylor expansion of x in x 0.678 * [taylor]: Taking taylor expansion of y in x 0.680 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.680 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.680 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.681 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.681 * [taylor]: Taking taylor expansion of 2.0 in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.681 * [taylor]: Taking taylor expansion of (* x y) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.683 * [taylor]: Taking taylor expansion of 1 in y 0.683 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.683 * [taylor]: Taking taylor expansion of 1.0 in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.686 * [taylor]: Taking taylor expansion of 0 in y 0.690 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [taylor]: Taking taylor expansion of 0 in y 0.696 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.696 * [taylor]: Taking taylor expansion of x in y 0.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.696 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.696 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.697 * [taylor]: Taking taylor expansion of 2.0 in y 0.697 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.697 * [taylor]: Taking taylor expansion of (* x y) in y 0.697 * [taylor]: Taking taylor expansion of x in y 0.697 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.704 * [taylor]: Taking taylor expansion of x in x 0.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.704 * [taylor]: Taking taylor expansion of y in x 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.705 * [taylor]: Taking taylor expansion of 2.0 in x 0.705 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.705 * [taylor]: Taking taylor expansion of (* x y) in x 0.705 * [taylor]: Taking taylor expansion of x in x 0.705 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.707 * [taylor]: Taking taylor expansion of x in x 0.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.707 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.707 * [taylor]: Taking taylor expansion of y in x 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.707 * [taylor]: Taking taylor expansion of 2.0 in x 0.707 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.707 * [taylor]: Taking taylor expansion of (* x y) in x 0.708 * [taylor]: Taking taylor expansion of x in x 0.708 * [taylor]: Taking taylor expansion of y in x 0.710 * [taylor]: Taking taylor expansion of 1 in y 0.710 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.710 * [taylor]: Taking taylor expansion of 1.0 in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of 0 in y 0.717 * [taylor]: Taking taylor expansion of 0 in y 0.723 * [taylor]: Taking taylor expansion of 0 in y 0.723 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.723 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in (x y) around 0 0.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in y 0.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.723 * [taylor]: Taking taylor expansion of x in y 0.723 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.723 * [taylor]: Taking taylor expansion of y in y 0.724 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.724 * [taylor]: Taking taylor expansion of 2.0 in y 0.724 * [taylor]: Taking taylor expansion of (* x y) in y 0.724 * [taylor]: Taking taylor expansion of x in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.725 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.725 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.725 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.725 * [taylor]: Taking taylor expansion of 2.0 in x 0.725 * [taylor]: Taking taylor expansion of (* x y) in x 0.725 * [taylor]: Taking taylor expansion of x in x 0.725 * [taylor]: Taking taylor expansion of y in x 0.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y))))) in x 0.726 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.726 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.727 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.727 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.727 * [taylor]: Taking taylor expansion of 2.0 in x 0.727 * [taylor]: Taking taylor expansion of (* x y) in x 0.727 * [taylor]: Taking taylor expansion of x in x 0.727 * [taylor]: Taking taylor expansion of y in x 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of 1.0 in y 0.731 * [taylor]: Taking taylor expansion of 0 in y 0.734 * [taylor]: Taking taylor expansion of 0 in y 0.735 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.735 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.735 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.735 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) 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 0.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.736 * [taylor]: Taking taylor expansion of 2.0 in y 0.736 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.736 * [taylor]: Taking taylor expansion of (* x y) in y 0.736 * [taylor]: Taking taylor expansion of x in y 0.736 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.738 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.739 * [taylor]: Taking taylor expansion of 2.0 in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.739 * [taylor]: Taking taylor expansion of (* x y) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.742 * [taylor]: Taking taylor expansion of 2.0 in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.742 * [taylor]: Taking taylor expansion of (* x y) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of 1 in y 0.744 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.744 * [taylor]: Taking taylor expansion of 1.0 in y 0.744 * [taylor]: Taking taylor expansion of y in y 0.747 * [taylor]: Taking taylor expansion of 0 in y 0.751 * [taylor]: Taking taylor expansion of 0 in y 0.756 * [taylor]: Taking taylor expansion of 0 in y 0.757 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0 0.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in y 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.757 * [taylor]: Taking taylor expansion of x in y 0.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.757 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.757 * [taylor]: Taking taylor expansion of y in y 0.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.758 * [taylor]: Taking taylor expansion of 2.0 in y 0.758 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.758 * [taylor]: Taking taylor expansion of (* x y) in y 0.758 * [taylor]: Taking taylor expansion of x in y 0.758 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.760 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.761 * [taylor]: Taking taylor expansion of 2.0 in x 0.761 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.761 * [taylor]: Taking taylor expansion of (* x y) in x 0.761 * [taylor]: Taking taylor expansion of x in x 0.761 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))))) in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.764 * [taylor]: Taking taylor expansion of 2.0 in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.764 * [taylor]: Taking taylor expansion of (* x y) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of 1 in y 0.766 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y 0.766 * [taylor]: Taking taylor expansion of 1.0 in y 0.766 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [taylor]: Taking taylor expansion of 0 in y 0.779 * [taylor]: Taking taylor expansion of 0 in y 0.779 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.779 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.779 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.779 * [taylor]: Taking taylor expansion of 2.0 in y 0.779 * [taylor]: Taking taylor expansion of (* x y) in y 0.779 * [taylor]: Taking taylor expansion of x in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.779 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.780 * [taylor]: Taking taylor expansion of 2.0 in x 0.780 * [taylor]: Taking taylor expansion of (* x y) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.780 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.780 * [taylor]: Taking taylor expansion of 2.0 in x 0.780 * [taylor]: Taking taylor expansion of (* x y) in x 0.780 * [taylor]: Taking taylor expansion of x in x 0.780 * [taylor]: Taking taylor expansion of y in x 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.781 * [taylor]: Taking taylor expansion of 2.0 in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of 1 in y 0.786 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.786 * [taylor]: Taking taylor expansion of 2.0 in y 0.786 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.786 * [taylor]: Taking taylor expansion of (* x y) in y 0.786 * [taylor]: Taking taylor expansion of x in y 0.786 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.787 * [taylor]: Taking taylor expansion of x in x 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.787 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.787 * [taylor]: Taking taylor expansion of 2.0 in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.788 * [taylor]: Taking taylor expansion of (* x y) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.789 * [taylor]: Taking taylor expansion of 2.0 in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.789 * [taylor]: Taking taylor expansion of (* x y) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [taylor]: Taking taylor expansion of 1 in y 0.790 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.790 * [taylor]: Taking taylor expansion of 2.0 in y 0.790 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.790 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.799 * [taylor]: Taking taylor expansion of y in y 0.800 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.801 * [taylor]: Taking taylor expansion of 2.0 in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.801 * [taylor]: Taking taylor expansion of (* x y) in y 0.801 * [taylor]: Taking taylor expansion of x in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.802 * [taylor]: Taking taylor expansion of 2.0 in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.802 * [taylor]: Taking taylor expansion of (* x y) in x 0.802 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.803 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.803 * [taylor]: Taking taylor expansion of 2.0 in x 0.803 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.803 * [taylor]: Taking taylor expansion of (* x y) in x 0.803 * [taylor]: Taking taylor expansion of x in x 0.803 * [taylor]: Taking taylor expansion of y in x 0.804 * [taylor]: Taking taylor expansion of 1 in y 0.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.805 * [taylor]: Taking taylor expansion of 2.0 in y 0.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.807 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.807 * [taylor]: Taking taylor expansion of y in y 0.809 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.809 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.809 * [taylor]: Taking taylor expansion of 2.0 in y 0.809 * [taylor]: Taking taylor expansion of (* x y) in y 0.809 * [taylor]: Taking taylor expansion of x in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.809 * [taylor]: Taking taylor expansion of 2.0 in x 0.809 * [taylor]: Taking taylor expansion of (* x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.809 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.809 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.809 * [taylor]: Taking taylor expansion of 2.0 in x 0.809 * [taylor]: Taking taylor expansion of (* x y) in x 0.809 * [taylor]: Taking taylor expansion of x in x 0.809 * [taylor]: Taking taylor expansion of y in x 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.810 * [taylor]: Taking taylor expansion of 2.0 in y 0.811 * [taylor]: Taking taylor expansion of y in y 0.813 * [taylor]: Taking taylor expansion of 1 in y 0.814 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.814 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.815 * [taylor]: Taking taylor expansion of 2.0 in y 0.815 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.815 * [taylor]: Taking taylor expansion of (* x y) in y 0.815 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of y in y 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.816 * [taylor]: Taking taylor expansion of 2.0 in x 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.816 * [taylor]: Taking taylor expansion of (* x y) in x 0.816 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.817 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.817 * [taylor]: Taking taylor expansion of 2.0 in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.817 * [taylor]: Taking taylor expansion of (* x y) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.818 * [taylor]: Taking taylor expansion of 1 in y 0.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.819 * [taylor]: Taking taylor expansion of 2.0 in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.819 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.822 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.822 * [taylor]: Taking taylor expansion of y in y 0.823 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.823 * [taylor]: Taking taylor expansion of x in y 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.823 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.823 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.823 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.824 * [taylor]: Taking taylor expansion of 2.0 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.824 * [taylor]: Taking taylor expansion of (* x y) in y 0.824 * [taylor]: Taking taylor expansion of x in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.825 * [taylor]: Taking taylor expansion of 2.0 in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.825 * [taylor]: Taking taylor expansion of (* x y) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.825 * [taylor]: Taking taylor expansion of y in x 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.825 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.825 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.826 * [taylor]: Taking taylor expansion of 2.0 in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.826 * [taylor]: Taking taylor expansion of (* x y) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.827 * [taylor]: Taking taylor expansion of 1 in y 0.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.828 * [taylor]: Taking taylor expansion of 2.0 in y 0.828 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.828 * [taylor]: Taking taylor expansion of y in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.831 * * * [progress]: simplifying candidates 0.833 * [simplify]: Simplifying using # : (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt 1) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt 1) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ 1 1) (+ (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (log (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (exp (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (cbrt (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))))) (cbrt (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (* (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)))) (* (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))))) (* (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))))) (* (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)))) (* (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))))) (* (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))))) (* (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y)))) (* (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))))) (* (cbrt (sqrt (+ (* x (+ 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y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)))) (* (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))))) (* (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (exp (* x (+ (* 2.0 y) x))) (exp (* y y))) (log (+ (* x (+ (* 2.0 y) x)) (* y y))) (exp (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (* (* (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3)) (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 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) (+ (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)))) 0.840 * * [simplify]: iteration 0 : 227 enodes (cost 1076 ) 0.846 * * [simplify]: iteration 1 : 982 enodes (cost 984 ) 0.872 * * [simplify]: iteration 2 : 5001 enodes (cost 952 ) 0.877 * [simplify]: Simplified to: (log (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (exp (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (* (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))))) (cbrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (pow (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) 3) (fabs (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (cbrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) 1 (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y))) (sqrt (+ (pow (* x (+ (* 2.0 y) x)) 3) (pow (* y y) 3))) (sqrt (+ (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (- (* (* y y) (* y y)) (* (* x (+ (* 2.0 y) x)) (* y y))))) (sqrt (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y)))) (sqrt (- (* x (+ (* 2.0 y) x)) (* y y))) 1/2 (sqrt (sqrt (+ (* x (+ (* 2.0 y) x)) (* y y)))) (sqrt (sqrt (+ (* x (+ (* 2.0 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(pow (* y y) 3)) (+ (* (pow y 2) (- (pow y 2) (* x (+ (* 2.0 y) x)))) (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)))) (- (* (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x))) (* (* y y) (* y y))) (- (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* 1.0 x) y) (+ x (* 1.0 y)) (- (+ x (* 1.0 y))) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) (+ (* x (+ (* 2.0 y) x)) (* y y)) 0.878 * * * [progress]: adding candidates to table 1.081 * * [progress]: iteration 4 / 4 1.081 * * * [progress]: picking best candidate 1.084 * * * * [pick]: Picked # 1.085 * * * [progress]: localizing error 1.092 * * * [progress]: generating rewritten candidates 1.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.098 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.109 * * * [progress]: generating series expansions 1.109 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.109 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 1.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.109 * [taylor]: Taking taylor expansion of 2.0 in y 1.109 * [taylor]: Taking taylor expansion of (* x y) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.109 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.109 * [taylor]: Taking taylor expansion of x in x 1.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.109 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.110 * [taylor]: Taking taylor expansion of 2.0 in x 1.110 * [taylor]: Taking taylor expansion of (* x y) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.110 * [taylor]: Taking taylor expansion of 2.0 in x 1.110 * [taylor]: Taking taylor expansion of (* x y) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.111 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.111 * [taylor]: Taking taylor expansion of 2.0 in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.114 * [taylor]: Taking taylor expansion of 1 in y 1.115 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.115 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.115 * [taylor]: Taking taylor expansion of x in y 1.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.115 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.116 * [taylor]: Taking taylor expansion of 2.0 in y 1.116 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.116 * [taylor]: Taking taylor expansion of (* x y) in y 1.116 * [taylor]: Taking taylor expansion of x in y 1.116 * [taylor]: Taking taylor expansion of y in y 1.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.117 * [taylor]: Taking taylor expansion of 2.0 in x 1.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.117 * [taylor]: Taking taylor expansion of (* x y) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [taylor]: Taking taylor expansion of y in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.118 * [taylor]: Taking taylor expansion of y in x 1.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.118 * [taylor]: Taking taylor expansion of 2.0 in x 1.118 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.118 * [taylor]: Taking taylor expansion of (* x y) in x 1.118 * [taylor]: Taking taylor expansion of x in x 1.118 * [taylor]: Taking taylor expansion of y in x 1.119 * [taylor]: Taking taylor expansion of 1 in y 1.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.120 * [taylor]: Taking taylor expansion of 2.0 in y 1.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.120 * [taylor]: Taking taylor expansion of y in y 1.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.122 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.122 * [taylor]: Taking taylor expansion of y in y 1.124 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.124 * [taylor]: Taking taylor expansion of x in y 1.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.124 * [taylor]: Taking taylor expansion of y in y 1.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.124 * [taylor]: Taking taylor expansion of 2.0 in y 1.125 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.125 * [taylor]: Taking taylor expansion of (* x y) in y 1.125 * [taylor]: Taking taylor expansion of x in y 1.125 * [taylor]: Taking taylor expansion of y in y 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.125 * [taylor]: Taking taylor expansion of x in x 1.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.125 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.126 * [taylor]: Taking taylor expansion of 2.0 in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.126 * [taylor]: Taking taylor expansion of (* x y) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.126 * [taylor]: Taking taylor expansion of y in x 1.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.126 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.127 * [taylor]: Taking taylor expansion of 2.0 in x 1.127 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.127 * [taylor]: Taking taylor expansion of (* x y) in x 1.127 * [taylor]: Taking taylor expansion of x in x 1.127 * [taylor]: Taking taylor expansion of y in x 1.131 * [taylor]: Taking taylor expansion of 1 in y 1.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.132 * [taylor]: Taking taylor expansion of 2.0 in y 1.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.132 * [taylor]: Taking taylor expansion of y in y 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.136 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.136 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 1.136 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 1.136 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 1.136 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.136 * [taylor]: Taking taylor expansion of 2.0 in x 1.136 * [taylor]: Taking taylor expansion of x in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [taylor]: Taking taylor expansion of y in x 1.136 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 1.136 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 1.136 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.136 * [taylor]: Taking taylor expansion of 2.0 in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 1.136 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 1.136 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 1.136 * [taylor]: Taking taylor expansion of 2.0 in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.137 * [taylor]: Taking taylor expansion of 0 in x 1.138 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.138 * [taylor]: Taking taylor expansion of 2.0 in x 1.138 * [taylor]: Taking taylor expansion of x in x 1.139 * [taylor]: Taking taylor expansion of 1 in x 1.141 * [taylor]: Taking taylor expansion of 0 in x 1.144 * [taylor]: Taking taylor expansion of 0 in x 1.144 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 1.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 1.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.144 * [taylor]: Taking taylor expansion of y in x 1.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.144 * [taylor]: Taking taylor expansion of 2.0 in x 1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.144 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.145 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.145 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.146 * [taylor]: Taking taylor expansion of 2.0 in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.146 * [taylor]: Taking taylor expansion of x in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.146 * [taylor]: Taking taylor expansion of y in y 1.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.146 * [taylor]: Taking taylor expansion of 2.0 in y 1.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.147 * [taylor]: Taking taylor expansion of x in y 1.147 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of 1 in x 1.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.148 * [taylor]: Taking taylor expansion of 2.0 in x 1.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.148 * [taylor]: Taking taylor expansion of x in x 1.151 * [taylor]: Taking taylor expansion of 0 in x 1.154 * [taylor]: Taking taylor expansion of 0 in x 1.158 * [taylor]: Taking taylor expansion of 0 in x 1.158 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 1.159 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.159 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.159 * [taylor]: Taking taylor expansion of 2.0 in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.160 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.160 * [taylor]: Taking taylor expansion of y in y 1.160 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.160 * [taylor]: Taking taylor expansion of 2.0 in y 1.160 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.160 * [taylor]: Taking taylor expansion of x in y 1.160 * [taylor]: Taking taylor expansion of y in y 1.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 1.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 1.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 1.161 * [taylor]: Taking taylor expansion of 2.0 in y 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.161 * [taylor]: Taking taylor expansion of x in y 1.161 * [taylor]: Taking taylor expansion of y in y 1.161 * [taylor]: Taking taylor expansion of 1 in x 1.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.162 * [taylor]: Taking taylor expansion of 2.0 in x 1.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.162 * [taylor]: Taking taylor expansion of x in x 1.165 * [taylor]: Taking taylor expansion of 0 in x 1.168 * [taylor]: Taking taylor expansion of 0 in x 1.173 * [taylor]: Taking taylor expansion of 0 in x 1.173 * * * [progress]: simplifying candidates 1.174 * [simplify]: Simplifying using # : (* (exp (pow x 2)) (exp (* y (+ (* x 2.0) y)))) (log (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y))))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (* (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (pow x 2) (* y (+ (* x 2.0) y)))) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (pow (pow x 2) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (pow x 2) (* y (+ (* x 2.0) y))))) (- (* (pow x 2) (pow x 2)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (* x 2.0))) (+ (pow x 2) (* (* x 2.0) y)) (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* 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)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 1.178 * * [simplify]: iteration 0 : 216 enodes (cost 231 ) 1.185 * * [simplify]: iteration 1 : 1074 enodes (cost 212 ) 1.212 * * [simplify]: iteration 2 : 5001 enodes (cost 212 ) 1.213 * [simplify]: Simplified to: (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (log (+ (pow x 2) (* y (+ (* x 2.0) y)))) (exp (+ (pow x 2) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y))))) (cbrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (pow (+ (pow x 2) (* y (+ (* x 2.0) y))) 3) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (sqrt (+ (pow x 2) (* y (+ (* x 2.0) y)))) (+ (pow (pow x 2) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* y (+ (* x 2.0) y)) (- (* y (+ (* x 2.0) y)) (pow x 2))) (pow x 4)) (+ (pow x 4) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))))) (- (pow x 2) (* y (+ (* x 2.0) y))) (* x (+ (* 2.0 y) x)) (* x (+ (* 2.0 y) x)) (* y (+ (* x 2.0) y)) (log (* y (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (pow (* y (+ (* x 2.0) y)) 3) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* (sqrt (+ (* x 2.0) y)) (pow y 1/2)) (* y (* x 2.0)) (pow y 2) (* y (* x 2.0)) (pow y 2) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) y (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (+ (pow x 2) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) 1.213 * * * [progress]: adding candidates to table 1.291 * [progress]: [Phase 3 of 3] Extracting. 1.291 * * [regime]: Finding splitpoints for: (# # # #) 1.292 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.292 * * * * [regimes]: Trying to branch on y from (# # # #) 1.308 * * * * [regimes]: Trying to branch on x from (# # # #) 1.324 * * * [regime]: Found split indices: #