9.378 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.022 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.025 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.027 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.028 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.030 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.032 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.035 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.041 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.050 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.084 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.085 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.087 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.107 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.111 * * * [progress]: generating series expansions 0.111 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.112 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of (* (+ x y) (- 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 (- 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 (+ (pow x 2) (pow y 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 (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (* (+ x y) (- 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 (- 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 (+ (pow x 2) (pow y 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 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (* (+ x y) (- 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 (- 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 (+ (pow x 2) (pow y 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 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of -1 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of 2 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of 0 in y 0.122 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.122 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.122 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.125 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.125 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.128 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.128 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.128 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of 2 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 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.149 * [taylor]: Taking taylor expansion of -1 in y 0.149 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.154 * [taylor]: Taking taylor expansion of -1 in x 0.155 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.155 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of 1 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.165 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.165 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.165 * [taylor]: Taking taylor expansion of 2 in y 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.173 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 1 in y 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.192 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.199 * * * [progress]: simplifying candidates 0.200 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.204 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.211 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.238 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.240 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.241 * * * [progress]: adding candidates to table 0.328 * * [progress]: iteration 2 / 4 0.328 * * * [progress]: picking best candidate 0.332 * * * * [pick]: Picked # 0.332 * * * [progress]: localizing error 0.332 * * * [progress]: generating rewritten candidates 0.332 * * * [progress]: generating series expansions 0.332 * * * [progress]: simplifying candidates 0.332 * [simplify]: Simplifying using # : 0.334 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.334 * [simplify]: Simplified to: 0.334 * * * [progress]: adding candidates to table 0.335 * * [progress]: iteration 3 / 4 0.335 * * * [progress]: picking best candidate 0.337 * * * * [pick]: Picked # 0.337 * * * [progress]: localizing error 0.347 * * * [progress]: generating rewritten candidates 0.347 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.358 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.377 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 2) 0.390 * * * [progress]: generating series expansions 0.390 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.390 * [approximate]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.390 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of (+ x y) in y 0.390 * [taylor]: Taking taylor expansion of x in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.391 * [taylor]: Taking taylor expansion of (+ x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ (pow x 2) (pow y 2))) in x 0.391 * [taylor]: Taking taylor expansion of (+ x y) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.391 * [taylor]: Taking taylor expansion of x in x 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.391 * [taylor]: Taking taylor expansion of y in x 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.404 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) 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 (/ 1 (pow y 2)) in y 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.404 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.411 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.411 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.419 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.419 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.419 * [taylor]: Taking taylor expansion of -1 in y 0.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.419 * [taylor]: Taking taylor expansion of x in y 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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)) in y 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.420 * [taylor]: Taking taylor expansion of y in y 0.421 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.421 * [taylor]: Taking taylor expansion of -1 in x 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 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)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.423 * [taylor]: Taking taylor expansion of -1 in x 0.423 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.423 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.423 * [taylor]: Taking taylor expansion of x in x 0.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.424 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of -1 in y 0.427 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.435 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.435 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.435 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.435 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.435 * [taylor]: Taking taylor expansion of (+ x y) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (- x y) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.435 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.435 * [taylor]: Taking taylor expansion of x in y 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.435 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.436 * [taylor]: Taking taylor expansion of (+ x y) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (- x y) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.436 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.436 * [taylor]: Taking taylor expansion of (+ x y) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (- x y) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.436 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.437 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of -1 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of 2 in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.446 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.446 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.446 * [taylor]: Taking taylor expansion of x in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.448 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.448 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.450 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.451 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.451 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [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 y) (/ 1 x)) in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.451 * [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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.452 * [taylor]: Taking taylor expansion of x in x 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.452 * [taylor]: Taking taylor expansion of y in x 0.454 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.463 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of 2 in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.471 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.471 * [taylor]: Taking taylor expansion of -1 in y 0.471 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.471 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.474 * [taylor]: Taking taylor expansion of -1 in x 0.474 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.477 * [taylor]: Taking taylor expansion of -1 in x 0.477 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.477 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.478 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.480 * [taylor]: Taking taylor expansion of 1 in y 0.483 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.487 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.487 * [taylor]: Taking taylor expansion of 2 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of 0 in y 0.496 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 2) 0.496 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.496 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.497 * [taylor]: Taking taylor expansion of 0 in y 0.497 * [taylor]: Taking taylor expansion of 1 in y 0.499 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.501 * [taylor]: Taking taylor expansion of x in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.502 * [taylor]: Taking taylor expansion of y in x 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.502 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.504 * [taylor]: Taking taylor expansion of 0 in y 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.506 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.514 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.514 * [taylor]: Taking taylor expansion of x in y 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.515 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.515 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.515 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.516 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of 1 in y 0.518 * [taylor]: Taking taylor expansion of 0 in y 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.521 * [taylor]: Taking taylor expansion of 0 in y 0.523 * [taylor]: Taking taylor expansion of 0 in y 0.525 * * * [progress]: simplifying candidates 0.526 * [simplify]: Simplifying using # : (- (log (+ x y)) (log (+ (pow x 2) (pow y 2)))) (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2)))) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (* (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (- (+ x y)) (- (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (cbrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2)))) (/ (cbrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (pow 1 2)) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (sqrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (pow 1 2)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (pow 1 2)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (pow 1 2)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 1) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) 1) (/ (+ x y) (pow 1 2)) (/ (+ x y) 1) (/ (+ (pow x 2) (pow y 2)) (cbrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (sqrt (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2)))) (* (+ (pow x 2) (pow y 2)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 2) (pow y 2)) (- x y)) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (+ (log (- x y)) (- (log (+ x y)) (log (+ (pow x 2) (pow y 2))))) (+ (log (- x y)) (log (/ (+ x y) (+ (pow x 2) (pow y 2))))) (log (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (exp (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (- x y)) (- x y)) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (cbrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (* (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (sqrt (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (pow x 2) (pow y 2))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 2) (pow y 2))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (sqrt (- x y)) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))))) (* (- x y) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (pow 1 2))) (* (- x y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1)) (* (- x y) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ (sqrt (+ x y)) (pow 1 2))) (* (- x y) (/ (sqrt (+ x y)) 1)) (* (- x y) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ 1 (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (pow 1 2))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))))) (* (- x y) (/ 1 (sqrt (+ (pow x 2) (pow y 2))))) (* (- x y) (/ 1 1)) (* (- x y) (/ 1 (pow 1 2))) (* (- x y) (/ 1 1)) (* (- x y) 1) (* (- x y) (+ x y)) (* (- x y) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)))) (* (- x y) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))))) (* (cbrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (sqrt (- x y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (sqrt x) (sqrt y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- x y) (+ x y)) (* (- (pow x 3) (pow y 3)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (- (* x x) (* y y)) (/ (+ x y) (+ (pow x 2) (pow y 2)))) (* (exp (pow x 2)) (exp (pow y 2))) (log (+ (pow x 2) (pow y 2))) (exp (+ (pow x 2) (pow y 2))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (cbrt (+ (pow x 2) (pow y 2))) (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0 0 0 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.533 * * [simplify]: iteration 0 : 390 enodes (cost 902 ) 0.541 * * [simplify]: iteration 1 : 1953 enodes (cost 823 ) 0.573 * * [simplify]: iteration 2 : 5001 enodes (cost 822 ) 0.578 * [simplify]: Simplified to: (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (log (/ (+ x y) (+ (pow x 2) (pow y 2)))) (exp (/ (+ x y) (+ (pow x 2) (pow y 2)))) (pow (/ (+ x y) (+ (pow x 2) (pow y 2))) 3) (* (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2))))) (cbrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (pow (/ (+ x y) (+ (pow x 2) (pow y 2))) 3) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (sqrt (/ (+ x y) (+ (pow x 2) (pow y 2)))) (- (+ x y)) (- (+ (pow x 2) (pow y 2))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (cbrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ (pow x 2) (pow y 2)))) (/ (cbrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ (sqrt (+ x y)) (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (sqrt (+ x y)) (cbrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (/ (sqrt (+ x y)) (sqrt (+ (pow x 2) (pow y 2)))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2))))) (/ (+ x y) (cbrt (+ (pow x 2) (pow y 2)))) (/ 1 (sqrt (+ (pow x 2) (pow y 2)))) (/ (+ x y) (sqrt (+ (pow x 2) (pow y 2)))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) 1 (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 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(pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.578 * * * [progress]: adding candidates to table 0.748 * * [progress]: iteration 4 / 4 0.748 * * * [progress]: picking best candidate 0.749 * * * * [pick]: Picked # 0.749 * * * [progress]: localizing error 0.749 * * * [progress]: generating rewritten candidates 0.749 * * * [progress]: generating series expansions 0.749 * * * [progress]: simplifying candidates 0.750 * [simplify]: Simplifying using # : 0.752 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.752 * [simplify]: Simplified to: 0.752 * * * [progress]: adding candidates to table 0.752 * [progress]: [Phase 3 of 3] Extracting. 0.752 * * [regime]: Finding splitpoints for: (# # #) 0.752 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.752 * * * * [regimes]: Trying to branch on y from (# # #) 0.783 * * * * [regimes]: Trying to branch on x from (# # #) 0.805 * * * [regime]: Found split indices: #