1.011 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.034 * * * [progress]: [2/2] Setting up program. 0.037 * [progress]: [Phase 2 of 3] Improving. 0.037 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.039 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.040 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.042 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.044 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.047 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.053 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.063 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.099 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.100 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.100 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.116 * * * [progress]: generating rewritten candidates 0.116 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.128 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.134 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.134 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.134 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.134 * [taylor]: Taking taylor expansion of (+ x y) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (- x y) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.134 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.134 * [taylor]: Taking taylor expansion of (+ x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (- x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.134 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.135 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.135 * [taylor]: Taking taylor expansion of (+ x y) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (- x y) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of -1 in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.136 * [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 0.136 * [taylor]: Taking taylor expansion of 0 in y 0.137 * [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 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.137 * [taylor]: Taking taylor expansion of x in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.137 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.137 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.137 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of 1 in y 0.138 * [taylor]: Taking taylor expansion of 0 in y 0.139 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.139 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.139 * [taylor]: Taking taylor expansion of 2 in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [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 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.140 * [taylor]: Taking taylor expansion of -1 in y 0.140 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.141 * [taylor]: Taking taylor expansion of -1 in x 0.141 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.141 * [taylor]: Taking taylor expansion of x in x 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.141 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.142 * [taylor]: Taking taylor expansion of -1 in x 0.142 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.142 * [taylor]: Taking taylor expansion of y in x 0.142 * [taylor]: Taking taylor expansion of 1 in y 0.142 * [taylor]: Taking taylor expansion of 0 in y 0.143 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.143 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of 2 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of 0 in y 0.144 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.144 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.144 * [taylor]: Taking taylor expansion of x in y 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.144 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.145 * [taylor]: Taking taylor expansion of y in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 1 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [taylor]: Taking taylor expansion of 0 in y 0.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.146 * [taylor]: Taking taylor expansion of x in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of 1 in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.146 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.148 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [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 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [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 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.148 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.150 * * * [progress]: simplifying candidates 0.151 * [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)))) (neg (* (- x y) (+ x y))) (neg (+ (* 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)) 0.155 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.162 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.192 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.195 * [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)) (neg (+ (* 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))) (+ (* (neg (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))) (+ (* (neg (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)) 0.195 * * * [progress]: adding candidates to table 0.260 * * [progress]: iteration 2 / 4 0.260 * * * [progress]: picking best candidate 0.267 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.268 * * * [progress]: generating rewritten candidates 0.268 * * * [progress]: generating series expansions 0.268 * * * [progress]: simplifying candidates 0.268 * [simplify]: Simplifying using # : 0.270 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.270 * [simplify]: Simplified to: 0.270 * * * [progress]: adding candidates to table 0.270 * * [progress]: iteration 3 / 4 0.270 * * * [progress]: picking best candidate 0.275 * * * * [pick]: Picked # 0.275 * * * [progress]: localizing error 0.286 * * * [progress]: generating rewritten candidates 0.286 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.298 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.316 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.326 * * * [progress]: generating series expansions 0.326 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.326 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 0.326 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.326 * [taylor]: Taking taylor expansion of (+ x y) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.326 * [taylor]: Taking taylor expansion of (- x y) in y 0.326 * [taylor]: Taking taylor expansion of x in y 0.326 * [taylor]: Taking taylor expansion of y in y 0.327 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.327 * [taylor]: Taking taylor expansion of (+ x y) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (- x y) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.327 * [taylor]: Taking taylor expansion of (+ x y) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [taylor]: Taking taylor expansion of (- x y) in x 0.327 * [taylor]: Taking taylor expansion of x in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of -1 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.328 * [taylor]: Taking taylor expansion of 2 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [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 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.330 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of 1 in y 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.332 * [taylor]: Taking taylor expansion of 2 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of 0 in y 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.333 * [taylor]: Taking taylor expansion of -1 in y 0.333 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.333 * [taylor]: Taking taylor expansion of y in y 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.333 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.334 * [taylor]: Taking taylor expansion of x in y 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.334 * [taylor]: Taking taylor expansion of -1 in x 0.334 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.335 * [taylor]: Taking taylor expansion of y in x 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.335 * [taylor]: Taking taylor expansion of x in x 0.335 * [taylor]: Taking taylor expansion of 1 in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.336 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of 2 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 0 in y 0.337 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.337 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.337 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.337 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.337 * [taylor]: Taking taylor expansion of (+ x y) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (- x y) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.337 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.338 * [taylor]: Taking taylor expansion of (+ x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (- x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.338 * [taylor]: Taking taylor expansion of (+ x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (- x y) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.338 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.339 * [taylor]: Taking taylor expansion of -1 in y 0.339 * [taylor]: Taking taylor expansion of 0 in y 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of 0 in y 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.340 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.340 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.340 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.341 * [taylor]: Taking taylor expansion of y in y 0.341 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.342 * [taylor]: Taking taylor expansion of y in x 0.342 * [taylor]: Taking taylor expansion of 1 in y 0.342 * [taylor]: Taking taylor expansion of 0 in y 0.343 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.343 * [taylor]: Taking taylor expansion of 2 in y 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.343 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of 0 in y 0.344 * [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 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.344 * [taylor]: Taking taylor expansion of -1 in y 0.344 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.345 * [taylor]: Taking taylor expansion of -1 in x 0.345 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.345 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.346 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.347 * [taylor]: Taking taylor expansion of 2 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.347 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.348 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.348 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.348 * [taylor]: Taking taylor expansion of x in y 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.348 * [taylor]: Taking taylor expansion of y in y 0.348 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.349 * [taylor]: Taking taylor expansion of x in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.349 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.350 * [taylor]: Taking taylor expansion of x in x 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.350 * [taylor]: Taking taylor expansion of y in x 0.350 * [taylor]: Taking taylor expansion of 1 in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.350 * [taylor]: Taking taylor expansion of y in y 0.350 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [taylor]: Taking taylor expansion of 0 in y 0.351 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.352 * [taylor]: Taking taylor expansion of x in x 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.352 * [taylor]: Taking taylor expansion of y in x 0.352 * [taylor]: Taking taylor expansion of 1 in y 0.352 * [taylor]: Taking taylor expansion of 0 in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.352 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.352 * [taylor]: Taking taylor expansion of y in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * * * [progress]: simplifying candidates 0.355 * [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)))) (neg (+ (* x x) (* y y))) (neg (* (- 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))) (neg 1) (neg (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (neg (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (neg (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (- 0 (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- 0 (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- 0 (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (- (log 1) (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))) (- (log 1) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))) (- (log 1) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (log (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (exp (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))))) (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))) (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (* (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (* (* (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (neg 1) (neg (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ (cbrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (cbrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ (cbrt 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ (cbrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- x y))) (/ (cbrt 1) (/ (+ (* x x) (* y y)) (+ x y))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) (* y y))) (/ (cbrt 1) (/ 1 (* (- x y) (+ x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ (cbrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (cbrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))) (/ (cbrt 1) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (cbrt 1) (* (+ x y) (- x y))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))) (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))) (/ (cbrt 1) (- x y)) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ (cbrt 1) (+ (* x x) (+ (* y y) (* x y)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ (cbrt 1) (+ x y)) (/ (sqrt 1) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ (sqrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ (sqrt 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (/ (sqrt 1) (/ 1 (- x y))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (+ x y))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (sqrt 1) (+ (* x x) (* y y))) (/ (sqrt 1) (/ 1 (* (- x y) (+ x y)))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ (sqrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))) (/ (sqrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))) (/ (sqrt 1) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))) (/ (sqrt 1) (* (+ x y) (- x y))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))) (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y)))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))) (/ (sqrt 1) (- x y)) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))) (/ (sqrt 1) (+ (* x x) (+ (* y y) (* x y)))) (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))) (/ (sqrt 1) (+ x y)) (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))) (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))) (/ 1 (/ (cbrt (+ (* x x) (* y y))) (+ x y))) (/ 1 (/ (sqrt (+ (* x x) (* y y))) (- x y))) (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ x y))) (/ 1 (/ 1 (- x y))) (/ 1 (/ (+ (* x x) (* y y)) (+ x y))) (/ 1 1) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (+ (* x x) (* y y))) (/ 1 (/ 1 (* (- x y) (+ x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))) (/ 1 (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (/ 1 (/ (+ (* x x) (* y 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(* 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 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.365 * * [simplify]: iteration 0 : 604 enodes (cost 1639 ) 0.379 * * [simplify]: iteration 1 : 3913 enodes (cost 1446 ) 0.440 * * [simplify]: iteration 2 : 5001 enodes (cost 1365 ) 0.447 * [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)) (* (- 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x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ 1 (+ (* x x) (* y 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))) (+ (* (neg (pow y 3)) y) (pow x 4)) (* (- x y) (+ x y)) -1 1 1 -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.448 * * * [progress]: adding candidates to table 0.563 * * [progress]: iteration 4 / 4 0.563 * * * [progress]: picking best candidate 0.565 * * * * [pick]: Picked # 0.566 * * * [progress]: localizing error 0.566 * * * [progress]: generating rewritten candidates 0.566 * * * [progress]: generating series expansions 0.566 * * * [progress]: simplifying candidates 0.566 * [simplify]: Simplifying using # : 0.568 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.568 * [simplify]: Simplified to: 0.568 * * * [progress]: adding candidates to table 0.569 * [progress]: [Phase 3 of 3] Extracting. 0.569 * * [regime]: Finding splitpoints for: (# # # #) 0.569 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.569 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 0.610 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # #) 0.644 * * * * [regimes]: Trying to branch on y from (# # # #) 0.701 * * * * [regimes]: Trying to branch on x from (# # # #) 0.746 * * * [regime]: Found split indices: #