7.431 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.024 * [progress]: [Phase 2 of 3] Improving. 0.024 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.026 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.027 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.029 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.032 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.035 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.041 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.051 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.086 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.086 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.087 * * [progress]: iteration 1 / 4 0.087 * * * [progress]: picking best candidate 0.088 * * * * [pick]: Picked # 0.088 * * * [progress]: localizing error 0.096 * * * [progress]: generating rewritten candidates 0.096 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.108 * * * [progress]: generating series expansions 0.108 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.109 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.109 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.109 * [taylor]: Taking taylor expansion of (+ x y) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (- x y) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.109 * [taylor]: Taking taylor expansion of x in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.110 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.110 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.110 * [taylor]: Taking taylor expansion of (+ x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (- x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.110 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.110 * [taylor]: Taking taylor expansion of (+ x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (- x y) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.110 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.110 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.110 * [taylor]: Taking taylor expansion of x in x 0.110 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.110 * [taylor]: Taking taylor expansion of y in x 0.111 * [taylor]: Taking taylor expansion of -1 in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.114 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of 2 in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.119 * [taylor]: Taking taylor expansion of 0 in y 0.120 * [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 0.120 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.120 * [taylor]: Taking taylor expansion of y in y 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.120 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.125 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.125 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.125 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.125 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.128 * [taylor]: Taking taylor expansion of 1 in y 0.130 * [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 0.147 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [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 0.147 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.147 * [taylor]: Taking taylor expansion of -1 in y 0.147 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.148 * [taylor]: Taking taylor expansion of x in y 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.148 * [taylor]: Taking taylor expansion of x in y 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 0.150 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.150 * [taylor]: Taking taylor expansion of -1 in x 0.150 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 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 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [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 0.153 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.153 * [taylor]: Taking taylor expansion of -1 in x 0.153 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.153 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.154 * [taylor]: Taking taylor expansion of x in x 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.154 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of 1 in y 0.159 * [taylor]: Taking taylor expansion of 0 in y 0.164 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.164 * [taylor]: Taking taylor expansion of 2 in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * * * [progress]: simplifying candidates 0.173 * [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)) -1 1 1 0.177 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.183 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.207 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.209 * [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)))) (* (- y x) (+ 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) (/ (+ 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)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (- (/ (pow x 4) 1) (/ (pow y 4) 1)) (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.209 * * * [progress]: adding candidates to table 0.274 * * [progress]: iteration 2 / 4 0.274 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.300 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.312 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.324 * * * [progress]: generating series expansions 0.324 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.324 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.324 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.325 * [taylor]: Taking taylor expansion of (+ x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (- x y) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.325 * [taylor]: Taking taylor expansion of x in y 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.325 * [taylor]: Taking taylor expansion of y in y 0.325 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.325 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.325 * [taylor]: Taking taylor expansion of (+ x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (- x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.326 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.326 * [taylor]: Taking taylor expansion of (+ x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (- x y) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.330 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.330 * [taylor]: Taking taylor expansion of 2 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.335 * [taylor]: Taking taylor expansion of 0 in y 0.335 * [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 0.335 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.335 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.336 * [taylor]: Taking taylor expansion of x in y 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.336 * [taylor]: Taking taylor expansion of x 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 0.338 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.338 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.338 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.338 * [taylor]: Taking taylor expansion of y in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.339 * [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 0.341 * [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 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.350 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.350 * [taylor]: Taking taylor expansion of 2 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 0.357 * [taylor]: Taking taylor expansion of 0 in y 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.358 * [taylor]: Taking taylor expansion of -1 in y 0.358 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.358 * [taylor]: Taking taylor expansion of x in y 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.358 * [taylor]: Taking taylor expansion of y in y 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.359 * [taylor]: Taking taylor expansion of x in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.359 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.360 * [taylor]: Taking taylor expansion of -1 in x 0.360 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.360 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.361 * [taylor]: Taking taylor expansion of x in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.362 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.363 * [taylor]: Taking taylor expansion of -1 in x 0.363 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.363 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.363 * [taylor]: Taking taylor expansion of y in x 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.363 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.366 * [taylor]: Taking taylor expansion of 1 in y 0.369 * [taylor]: Taking taylor expansion of 0 in y 0.374 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.374 * [taylor]: Taking taylor expansion of 2 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of 0 in y 0.382 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.382 * [approximate]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in y 0.382 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.382 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.383 * [taylor]: Taking taylor expansion of (+ x y) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (- x y) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 0.383 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.383 * [taylor]: Taking taylor expansion of (+ x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (- x y) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.383 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 0.384 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.384 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.384 * [taylor]: Taking taylor expansion of (+ x y) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (- x y) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of -1 in y 0.387 * [taylor]: Taking taylor expansion of 0 in y 0.390 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.390 * [taylor]: Taking taylor expansion of 6 in y 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.390 * [taylor]: Taking taylor expansion of y in y 0.396 * [taylor]: Taking taylor expansion of 0 in y 0.397 * [approximate]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in (x y) around 0 0.397 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in y 0.397 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.397 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.397 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.398 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.405 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (pow (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 3) in x 0.408 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.419 * [taylor]: Taking taylor expansion of (neg (* 6 (/ 1 (pow y 2)))) in y 0.419 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.419 * [taylor]: Taking taylor expansion of 6 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of 0 in y 0.428 * [approximate]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in (x y) around 0 0.428 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in y 0.429 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.429 * [taylor]: Taking taylor expansion of -1 in y 0.429 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.429 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.429 * [taylor]: Taking taylor expansion of x in y 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 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.429 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.429 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in x 0.431 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.431 * [taylor]: Taking taylor expansion of -1 in x 0.431 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.431 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (pow (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 3) in x 0.435 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.435 * [taylor]: Taking taylor expansion of -1 in x 0.435 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.435 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.435 * [taylor]: Taking taylor expansion of x in x 0.436 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.436 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.436 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of 1 in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.447 * [taylor]: Taking taylor expansion of (neg (* 6 (/ 1 (pow y 2)))) in y 0.447 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.447 * [taylor]: Taking taylor expansion of 6 in y 0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.447 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.447 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of 0 in y 0.457 * * * * [progress]: [ 3 / 3 ] generating series at (2) 0.457 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.457 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.457 * [taylor]: Taking taylor expansion of (+ x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (- x y) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.458 * [taylor]: Taking taylor expansion of x in y 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.458 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.458 * [taylor]: Taking taylor expansion of (+ x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (- x y) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.459 * [taylor]: Taking taylor expansion of (+ x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (- x y) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.459 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.459 * [taylor]: Taking taylor expansion of x in x 0.459 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of -1 in y 0.460 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.462 * [taylor]: Taking taylor expansion of 2 in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of 0 in y 0.468 * [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 0.468 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.468 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.468 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.471 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.471 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.471 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.472 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.473 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.473 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.473 * [taylor]: Taking taylor expansion of x in x 0.473 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.473 * [taylor]: Taking taylor expansion of y in x 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.476 * [taylor]: Taking taylor expansion of 1 in y 0.478 * [taylor]: Taking taylor expansion of 0 in y 0.482 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.482 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.482 * [taylor]: Taking taylor expansion of 2 in y 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.482 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [approximate]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.495 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.495 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.495 * [taylor]: Taking taylor expansion of -1 in y 0.496 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.497 * [taylor]: Taking taylor expansion of x in y 0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.497 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.497 * [taylor]: Taking taylor expansion of y in y 0.499 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.499 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.499 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.499 * [taylor]: Taking taylor expansion of -1 in x 0.500 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.501 * [taylor]: Taking taylor expansion of x in x 0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.501 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.501 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (/ (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.504 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.504 * [taylor]: Taking taylor expansion of (cbrt -1) in x 0.504 * [taylor]: Taking taylor expansion of -1 in x 0.505 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.505 * [taylor]: Taking taylor expansion of y in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.506 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (* -1 (cbrt -1)) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.509 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.509 * [taylor]: Taking taylor expansion of -1 in y 0.514 * [taylor]: Taking taylor expansion of 0 in y 0.521 * [taylor]: Taking taylor expansion of (* 2 (/ (cbrt -1) (pow y 2))) in y 0.521 * [taylor]: Taking taylor expansion of 2 in y 0.521 * [taylor]: Taking taylor expansion of (/ (cbrt -1) (pow y 2)) in y 0.521 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.521 * [taylor]: Taking taylor expansion of -1 in y 0.522 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.522 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.535 * * * [progress]: simplifying candidates 0.536 * [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)) (* (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) 3) (* (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) 3) (* (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (* (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (* 1 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (cbrt 3) (cbrt 3))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (sqrt 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 1) (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3) (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (/ (+ x y) (cbrt (+ (* x x) (* y y)))) 3) (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (- x y) 1) 3) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (pow 1 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (* (- x y) (+ x y)) 3) (pow (/ 1 (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3) (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (- (* x x) (* y y)) 3) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (exp (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (* (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (* (* (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3) (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3) (pow (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3) (pow (/ (+ x y) (cbrt (+ (* x x) (* y y)))) 3) (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (- x y) 1) 3) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) (pow 1 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (* (- x y) (+ x y)) 3) (pow (/ 1 (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3) (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3) (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (- (* x x) (* y y)) 3) (pow (* (- x y) (+ x y)) 3) (pow (+ (* x x) (* y y)) 3) (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2)) (log (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (exp (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (pow (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) 3)) (cbrt (pow (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) 3)) (cbrt (pow (/ (+ x y) (cbrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3)) (cbrt (pow (/ (- x y) 1) 3)) (cbrt (pow (/ (+ x y) (+ (* x x) (* y y))) 3)) (cbrt (pow 1 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (* (- x y) (+ x y)) 3)) (cbrt (pow (/ 1 (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) 3)) (cbrt (pow (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3)) (cbrt (pow (- (* x x) (* y y)) 3)) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (* (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)))) (cbrt 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(* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) 1 (/ (* (- 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)) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- 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)))) -1 1 1 -1 1 1 -1 1 (* -1 (cbrt -1)) 0.605 * * * [progress]: adding candidates to table 0.779 * * [progress]: iteration 3 / 4 0.779 * * * [progress]: picking best candidate 0.781 * * * * [pick]: Picked # 0.781 * * * [progress]: localizing error 0.781 * * * [progress]: generating rewritten candidates 0.782 * * * [progress]: generating series expansions 0.782 * * * [progress]: simplifying candidates 0.782 * [simplify]: Simplifying using # : 0.784 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.784 * [simplify]: Simplified to: 0.784 * * * [progress]: adding candidates to table 0.784 * * [progress]: iteration 4 / 4 0.784 * * * [progress]: picking best candidate 0.785 * * * * [pick]: Picked # 0.785 * * * [progress]: localizing error 0.786 * * * [progress]: generating rewritten candidates 0.786 * * * [progress]: generating series expansions 0.786 * * * [progress]: simplifying candidates 0.786 * [simplify]: Simplifying using # : 0.788 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.788 * [simplify]: Simplified to: 0.788 * * * [progress]: adding candidates to table 0.788 * [progress]: [Phase 3 of 3] Extracting. 0.788 * * [regime]: Finding splitpoints for: (# # #) 0.789 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.789 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # #) 0.802 * * * * [regimes]: Trying to branch on y from (# # #) 0.836 * * * * [regimes]: Trying to branch on x from (# # #) 0.859 * * * [regime]: Found split indices: #