11.692 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.023 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.024 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.025 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.028 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.031 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.036 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.046 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.079 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.080 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.102 * * * [progress]: generating series expansions 0.102 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.102 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.102 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.102 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.102 * [taylor]: Taking taylor expansion of (+ x y) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (- x y) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.102 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.102 * [taylor]: Taking taylor expansion of x in y 0.102 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.102 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.103 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.103 * [taylor]: Taking taylor expansion of (+ x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (- x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.103 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.103 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.103 * [taylor]: Taking taylor expansion of (+ x y) in x 0.103 * [taylor]: Taking taylor expansion of x in x 0.103 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (- x y) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.104 * [taylor]: Taking taylor expansion of x in x 0.104 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.104 * [taylor]: Taking taylor expansion of y in x 0.104 * [taylor]: Taking taylor expansion of -1 in y 0.105 * [taylor]: Taking taylor expansion of 0 in y 0.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.107 * [taylor]: Taking taylor expansion of 2 in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of 0 in y 0.113 * [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 0.113 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.113 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.113 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.113 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.113 * [taylor]: Taking taylor expansion of x in y 0.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.113 * [taylor]: Taking taylor expansion of x 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 0.116 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.116 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.116 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.116 * [taylor]: Taking taylor expansion of y in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.116 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of 1 in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.127 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.127 * [taylor]: Taking taylor expansion of 2 in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of 0 in y 0.135 * [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 0.135 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.135 * [taylor]: Taking taylor expansion of -1 in y 0.135 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.136 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.136 * [taylor]: Taking taylor expansion of x in y 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.136 * [taylor]: Taking taylor expansion of x 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 0.138 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.138 * [taylor]: Taking taylor expansion of -1 in x 0.138 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) 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 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 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [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 0.144 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.146 * [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 0.148 * [taylor]: Taking taylor expansion of 1 in y 0.151 * [taylor]: Taking taylor expansion of 0 in y 0.155 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of 2 in y 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.155 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of 0 in y 0.164 * * * [progress]: simplifying candidates 0.164 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.168 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.174 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.199 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.200 * [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)) (- (+ (* 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 0.200 * * * [progress]: adding candidates to table 0.273 * * [progress]: iteration 2 / 4 0.273 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.292 * * * [progress]: generating rewritten candidates 0.292 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.304 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.315 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [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 0.324 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.324 * [taylor]: Taking taylor expansion of (+ x y) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (- x y) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.324 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [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 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (- x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 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 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (- x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of -1 in y 0.327 * [taylor]: Taking taylor expansion of 0 in y 0.329 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.329 * [taylor]: Taking taylor expansion of 2 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 0.334 * [taylor]: Taking taylor expansion of 0 in y 0.334 * [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 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [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 (pow x 2)) (/ 1 (pow y 2))) in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.335 * [taylor]: Taking taylor expansion of x in y 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.337 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.337 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.337 * [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 0.338 * [taylor]: Taking taylor expansion of x in x 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 0.339 * [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 0.340 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.340 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.340 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.340 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.340 * [taylor]: Taking taylor expansion of y in x 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.340 * [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 0.343 * [taylor]: Taking taylor expansion of 1 in y 0.345 * [taylor]: Taking taylor expansion of 0 in y 0.349 * [taylor]: Taking taylor expansion of (- (* 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 0.358 * [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 0.361 * [taylor]: Taking taylor expansion of -1 in x 0.361 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 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 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.364 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 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 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 0.367 * [taylor]: Taking taylor expansion of 1 in y 0.370 * [taylor]: Taking taylor expansion of 0 in y 0.377 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.377 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.377 * [taylor]: Taking taylor expansion of 2 in y 0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.377 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.386 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.386 * [approximate]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in (x y) around 0 0.386 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in y 0.386 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.386 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.386 * [taylor]: Taking taylor expansion of (+ x y) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (- x y) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.386 * [taylor]: Taking taylor expansion of x in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.387 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 0.387 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.387 * [taylor]: Taking taylor expansion of (+ x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (- x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (pow (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 3) in x 0.387 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.387 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.387 * [taylor]: Taking taylor expansion of (+ x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (- x y) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.388 * [taylor]: Taking taylor expansion of y in x 0.388 * [taylor]: Taking taylor expansion of -1 in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.393 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.393 * [taylor]: Taking taylor expansion of 6 in y 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.393 * [taylor]: Taking taylor expansion of y in y 0.400 * [taylor]: Taking taylor expansion of 0 in y 0.401 * [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 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.401 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.401 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.401 * [taylor]: Taking taylor expansion of y in y 0.401 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.401 * [taylor]: Taking taylor expansion of x in y 0.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.402 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.404 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.406 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.409 * [taylor]: Taking taylor expansion of 1 in y 0.412 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 0.417 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.417 * [taylor]: Taking taylor expansion of 6 in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.417 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of 0 in y 0.427 * [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 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.427 * [taylor]: Taking taylor expansion of -1 in y 0.427 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.427 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.428 * [taylor]: Taking taylor expansion of x in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.430 * [taylor]: Taking taylor expansion of -1 in x 0.430 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.430 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.430 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.430 * [taylor]: Taking taylor expansion of 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 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.433 * [taylor]: Taking taylor expansion of -1 in x 0.433 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.433 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.433 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.434 * [taylor]: Taking taylor expansion of y in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.435 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.435 * [taylor]: Taking taylor expansion of y in x 0.437 * [taylor]: Taking taylor expansion of 1 in y 0.440 * [taylor]: Taking taylor expansion of 0 in y 0.446 * [taylor]: Taking taylor expansion of (- (* 6 (/ 1 (pow y 2)))) in y 0.446 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.446 * [taylor]: Taking taylor expansion of 6 in y 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.446 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.456 * * * * [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 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.457 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.457 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.457 * [taylor]: Taking taylor expansion of (+ x y) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.457 * [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 0.458 * [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 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.462 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.462 * [taylor]: Taking taylor expansion of x in x 0.462 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.462 * [taylor]: Taking taylor expansion of y in x 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.464 * [taylor]: Taking taylor expansion of 0 in y 0.466 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of 2 in y 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.471 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.471 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.471 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.471 * [taylor]: Taking taylor expansion of x in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.472 * [taylor]: Taking taylor expansion of x in y 0.472 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.472 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.472 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.474 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.474 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.474 * [taylor]: Taking taylor expansion of x in x 0.474 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.474 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.475 * [taylor]: Taking taylor expansion of x in x 0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.475 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.475 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.477 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.477 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.477 * [taylor]: Taking taylor expansion of y in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.477 * [taylor]: Taking taylor expansion of x in x 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.478 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of 1 in y 0.482 * [taylor]: Taking taylor expansion of 0 in y 0.486 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.486 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.486 * [taylor]: Taking taylor expansion of 2 in y 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.486 * [taylor]: Taking taylor expansion of y in y 0.494 * [taylor]: Taking taylor expansion of 0 in y 0.494 * [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 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of (* (cbrt -1) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.494 * [taylor]: Taking taylor expansion of (cbrt -1) in y 0.494 * [taylor]: Taking taylor expansion of -1 in y 0.495 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.495 * [taylor]: Taking taylor expansion of x in y 0.495 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.495 * [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 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.496 * [taylor]: Taking taylor expansion of x in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.499 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.499 * [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 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.500 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.500 * [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 0.504 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.504 * [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 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.505 * [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 0.521 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.521 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.534 * * * [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)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (- (+ (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 (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)))) (cbrt (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt 1) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ 3 2))) (cbrt (pow (* (- x y) (+ x y)) 3)) (cbrt (pow (+ (* x x) (* y y)) 3)) (* (cbrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)))) (cbrt (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))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (sqrt (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) -1 1 1 -1 1 1 -1 1 (* -1 (cbrt -1)) 0.544 * * [simplify]: iteration 0 : 474 enodes (cost 1168 ) 0.554 * * [simplify]: iteration 1 : 2637 enodes (cost 1106 ) 0.597 * * [simplify]: iteration 2 : 5003 enodes (cost 1105 ) 0.607 * [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))) (/ (* (- 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)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ 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) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y 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)) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) 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)) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (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) 3) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (/ (pow (+ x y) 3) (+ (* x x) (* y y))) (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (- x y) 3) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) 1 (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 (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) 3) (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (* (- x y) (+ x y)) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (log (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (exp (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (pow (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (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) 3) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (/ (pow (+ x y) 3) (+ (* x x) (* y y))) (pow (/ (- x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (pow (- x y) 3) (pow (/ (+ x y) (+ (* x x) (* y y))) 3) 1 (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 (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) 3) (pow (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) 3) (pow (* (- x y) (+ x y)) 3) (pow (* (- x y) (+ x y)) 3) (pow (+ (* x x) (* y y)) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 2) (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 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- 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)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (/ 1 (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ x 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)))) (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 (* (/ (* (- 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)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (- x y) (+ x y)) (/ 1 (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- x y) (+ x 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))))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) (cbrt (sqrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))) 1 (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3/2)) (cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3/2)) (* (- 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)) 0.608 * * * [progress]: adding candidates to table 0.823 * * [progress]: iteration 3 / 4 0.824 * * * [progress]: picking best candidate 0.828 * * * * [pick]: Picked # 0.828 * * * [progress]: localizing error 0.836 * * * [progress]: generating rewritten candidates 0.836 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.843 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.863 * * * [progress]: generating series expansions 0.863 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.864 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (+ x y) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (+ x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of (+ x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.865 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (- 1) in y 0.865 * [taylor]: Taking taylor expansion of 1 in y 0.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.867 * [taylor]: Taking taylor expansion of 2 in y 0.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.867 * [taylor]: Taking taylor expansion of y in y 0.870 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.870 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.870 * [taylor]: Taking taylor expansion of 2 in y 0.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.870 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.870 * [taylor]: Taking taylor expansion of y in y 0.874 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.876 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.878 * [taylor]: Taking taylor expansion of x in x 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.879 * [taylor]: Taking taylor expansion of y in x 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.879 * [taylor]: Taking taylor expansion of x in x 0.880 * [taylor]: Taking taylor expansion of 1 in y 0.881 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.884 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.884 * [taylor]: Taking taylor expansion of 2 in y 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.884 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.884 * [taylor]: Taking taylor expansion of y in y 0.894 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.894 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.894 * [taylor]: Taking taylor expansion of 2 in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.901 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.901 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.901 * [taylor]: Taking taylor expansion of -1 in y 0.901 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.901 * [taylor]: Taking taylor expansion of x in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.902 * [taylor]: Taking taylor expansion of x in y 0.903 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.903 * [taylor]: Taking taylor expansion of -1 in x 0.903 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.903 * [taylor]: Taking taylor expansion of x in x 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.904 * [taylor]: Taking taylor expansion of y in x 0.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.904 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of -1 in y 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.912 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of 2 in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.918 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.918 * [taylor]: Taking taylor expansion of 2 in y 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.918 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.924 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.925 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.925 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.925 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.925 * [taylor]: Taking taylor expansion of (+ x y) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (- x y) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.925 * [taylor]: Taking taylor expansion of x in y 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.925 * [taylor]: Taking taylor expansion of y in y 0.925 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.925 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.925 * [taylor]: Taking taylor expansion of (+ x y) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (- x y) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.925 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.926 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.926 * [taylor]: Taking taylor expansion of (+ x y) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (- x y) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.926 * [taylor]: Taking taylor expansion of y in x 0.926 * [taylor]: Taking taylor expansion of -1 in y 0.927 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.929 * [taylor]: Taking taylor expansion of 2 in y 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.930 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of 0 in y 0.935 * [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 0.935 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.935 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.935 * [taylor]: Taking taylor expansion of x in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.936 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.938 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.938 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.939 * [taylor]: Taking taylor expansion of x in x 0.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.939 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.941 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.941 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.941 * [taylor]: Taking taylor expansion of y in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.941 * [taylor]: Taking taylor expansion of x in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.942 * [taylor]: Taking taylor expansion of y in x 0.943 * [taylor]: Taking taylor expansion of 1 in y 0.946 * [taylor]: Taking taylor expansion of 0 in y 0.950 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.950 * [taylor]: Taking taylor expansion of 2 in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.957 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [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 0.958 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.958 * [taylor]: Taking taylor expansion of -1 in y 0.958 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.958 * [taylor]: Taking taylor expansion of y in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.958 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.958 * [taylor]: Taking taylor expansion of x in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.960 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.960 * [taylor]: Taking taylor expansion of -1 in x 0.960 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.961 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.961 * [taylor]: Taking taylor expansion of y in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.961 * [taylor]: Taking taylor expansion of x in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.963 * [taylor]: Taking taylor expansion of -1 in x 0.963 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.963 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.964 * [taylor]: Taking taylor expansion of y in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.964 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.964 * [taylor]: Taking taylor expansion of x in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.965 * [taylor]: Taking taylor expansion of y in x 0.967 * [taylor]: Taking taylor expansion of 1 in y 0.970 * [taylor]: Taking taylor expansion of 0 in y 0.974 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.974 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.974 * [taylor]: Taking taylor expansion of 2 in y 0.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.974 * [taylor]: Taking taylor expansion of y in y 0.987 * [taylor]: Taking taylor expansion of 0 in y 0.987 * * * [progress]: simplifying candidates 0.989 * [simplify]: Simplifying using # : (- (log (+ (* x x) (* y y))) (log (+ x y))) (log (/ (+ (* x x) (* y y)) (+ x y))) (exp (/ (+ (* x x) (* y y)) (+ x y))) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (* (* (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y))) (/ (+ (* x x) (* y y)) (+ x y))) (sqrt (/ (+ (* x x) (* y y)) (+ x y))) (sqrt (/ (+ (* x x) (* y y)) (+ x y))) (- (+ (* x x) (* y y))) (- (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (+ (* x x) (* y y))) (cbrt (+ x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (+ x y))) (/ (cbrt (+ (* x x) (* y y))) (sqrt (+ x y))) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ x y))) (/ (sqrt (+ (* x x) (* y y))) 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y)) (/ 1 (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (+ (* x x) (* y y)) (cbrt (+ x y))) (/ 1 (sqrt (+ x y))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ 1 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ 1 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (+ (* x x) (* y y)) (sqrt (+ x y))) (/ (+ (* x x) (* y y)) 1) (/ (+ (* x x) (* y y)) 1) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (+ x y) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (+ x y) (- (* x x) (* y y))) (- (log (- x y)) (- (log (+ (* x x) (* y y))) (log (+ x y)))) (- (log (- x y)) (log (/ (+ (* x x) (* y y)) (+ x y)))) (log (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (exp (/ (- x y) (/ (+ (* x x) (* y 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 y)) (/ (+ (* x x) (* y y)) (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)))) (* (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (cbrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y))))) (cbrt (/ (- 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)) (+ x y)))) (sqrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (sqrt (/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))) (- (- x y)) (- (/ (+ (* x x) (* y y)) (+ x y))) (/ x (/ (+ (* x x) (* y y)) (+ x y))) (/ y (/ (+ (* x x) (* y y)) (+ x y))) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt (/ (+ (* x x) (* y y)) (+ x y))) (cbrt (/ (+ (* x x) (* y y)) (+ x y))))) (/ 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y)) (/ (- x y) (+ (* x x) (* y y))) (* (+ (* y (+ y x)) (* x x)) (/ (+ (* x x) (* y y)) (+ x y))) (* (/ (+ (* x x) (* y y)) (+ x y)) (+ x y)) (- y x) (- x y) (- x y) -1 1 1 1.066 * * * [progress]: adding candidates to table 1.361 * * [progress]: iteration 4 / 4 1.361 * * * [progress]: picking best candidate 1.367 * * * * [pick]: Picked # 1.367 * * * [progress]: localizing error 1.370 * * * [progress]: generating rewritten candidates 1.370 * * * [progress]: generating series expansions 1.370 * * * [progress]: simplifying candidates 1.370 * [simplify]: Simplifying using # : 1.372 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.372 * [simplify]: Simplified to: 1.372 * * * [progress]: adding candidates to table 1.373 * [progress]: [Phase 3 of 3] Extracting. 1.373 * * [regime]: Finding splitpoints for: (# # # #) 1.373 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 1.373 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 1.389 * * * * [regimes]: Trying to branch on y from (# # # #) 1.422 * * * * [regimes]: Trying to branch on x from (# # # #) 1.455 * * * [regime]: Found split indices: #