8.329 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.024 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.027 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.029 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.032 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.038 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.047 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.080 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.081 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.107 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.107 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.107 * [taylor]: Taking taylor expansion of (+ x y) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (- x y) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.107 * [taylor]: Taking taylor expansion of x in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.107 * [taylor]: Taking taylor expansion of (+ x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.108 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.108 * [taylor]: Taking taylor expansion of (+ x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of -1 in y 0.110 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of 2 in y 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [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 0.117 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.117 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.125 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.125 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.128 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of 1 in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.135 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of 2 in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.144 * [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 0.144 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.144 * [taylor]: Taking taylor expansion of -1 in y 0.144 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.145 * [taylor]: Taking taylor expansion of x in y 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 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 x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of 1 in y 0.155 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.160 * [taylor]: Taking taylor expansion of 2 in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.160 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.168 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.168 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.169 * [taylor]: Taking taylor expansion of y in x 0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.170 * [taylor]: Taking taylor expansion of 1 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.178 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.184 * [taylor]: Taking taylor expansion of x in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.184 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.186 * [taylor]: Taking taylor expansion of 1 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * * * [progress]: simplifying candidates 0.194 * [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)) 0.199 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.206 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.233 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.236 * [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)) 0.236 * * * [progress]: adding candidates to table 0.331 * * [progress]: iteration 2 / 4 0.331 * * * [progress]: picking best candidate 0.334 * * * * [pick]: Picked # 0.334 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.334 * * * [progress]: generating series expansions 0.334 * * * [progress]: simplifying candidates 0.334 * [simplify]: Simplifying using # : 0.336 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.336 * [simplify]: Simplified to: 0.336 * * * [progress]: adding candidates to table 0.336 * * [progress]: iteration 3 / 4 0.336 * * * [progress]: picking best candidate 0.339 * * * * [pick]: Picked # 0.339 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.348 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.360 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1) 0.364 * * * [progress]: generating series expansions 0.364 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.365 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 0.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.365 * [taylor]: Taking taylor expansion of (+ x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (- x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.366 * [taylor]: Taking taylor expansion of (+ x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (- x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.366 * [taylor]: Taking taylor expansion of (+ x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of (- x y) in x 0.366 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of -1 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.372 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of 2 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 0 in y 0.378 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.378 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.378 * [taylor]: Taking taylor expansion of x in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.381 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1 in y 0.388 * [taylor]: Taking taylor expansion of 0 in y 0.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.392 * [taylor]: Taking taylor expansion of 2 in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.400 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.400 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.400 * [taylor]: Taking taylor expansion of -1 in y 0.400 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.400 * [taylor]: Taking taylor expansion of x in y 0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.400 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.400 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.403 * [taylor]: Taking taylor expansion of -1 in x 0.403 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.403 * [taylor]: Taking taylor expansion of x in x 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.403 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.406 * [taylor]: Taking taylor expansion of -1 in x 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 0.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x 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 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.416 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.416 * [taylor]: Taking taylor expansion of 2 in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1) 0.424 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.424 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.424 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.425 * [taylor]: Taking taylor expansion of x in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.425 * [taylor]: Taking taylor expansion of y in x 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [taylor]: Taking taylor expansion of 1 in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.429 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.430 * [taylor]: Taking taylor expansion of y in y 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.433 * [taylor]: Taking taylor expansion of 0 in y 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.434 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.434 * [taylor]: Taking taylor expansion of y in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x 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 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.441 * [taylor]: Taking taylor expansion of y in x 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.442 * [taylor]: Taking taylor expansion of y in x 0.442 * [taylor]: Taking taylor expansion of 1 in y 0.443 * [taylor]: Taking taylor expansion of 0 in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of 0 in y 0.449 * [taylor]: Taking taylor expansion of 0 in y 0.452 * * * [progress]: simplifying candidates 0.453 * [simplify]: Simplifying using # : (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (exp (/ (+ (* x x) (* y 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))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y)))) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* 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)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (- (+ (* x x) (* y y))) (- (* (- x 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)) (+ x y)) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- x y)) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))) (* (* (- x y) (+ x y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (* (- x y) (+ x y)) (- (* x x) (* y 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)) 0.457 * * [simplify]: iteration 0 : 307 enodes (cost 402 ) 0.464 * * [simplify]: iteration 1 : 1682 enodes (cost 344 ) 0.489 * * [simplify]: iteration 2 : 5003 enodes (cost 343 ) 0.491 * [simplify]: Simplified to: (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (exp (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3) (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (- (+ (* x x) (* y y))) (- (pow y 2) (pow x 2)) (/ (* (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)) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ 1 (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (pow x 2) (pow y 2)) (- x y)) (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))) (* (* (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ x y)) (- x y)) (* (* (- x y) (+ x y)) (* (- x 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)) 0.491 * * * [progress]: adding candidates to table 0.578 * * [progress]: iteration 4 / 4 0.578 * * * [progress]: picking best candidate 0.578 * * * * [pick]: Picked # 0.578 * * * [progress]: localizing error 0.579 * * * [progress]: generating rewritten candidates 0.579 * * * [progress]: generating series expansions 0.579 * * * [progress]: simplifying candidates 0.579 * [simplify]: Simplifying using # : 0.581 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.581 * [simplify]: Simplified to: 0.581 * * * [progress]: adding candidates to table 0.581 * [progress]: [Phase 3 of 3] Extracting. 0.581 * * [regime]: Finding splitpoints for: (# # #) 0.582 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.582 * * * * [regimes]: Trying to branch on y from (# # #) 0.612 * * * * [regimes]: Trying to branch on x from (# # #) 0.634 * * * [regime]: Found split indices: #