0.491 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.021 * * * [progress]: [2/2] Setting up program. 0.023 * [progress]: [Phase 2 of 3] Improving. 0.023 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.025 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.026 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.028 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.030 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.034 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.039 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.049 * * [simplify]: iteration 6 : 1343 enodes (cost 7 ) 0.085 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.085 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.087 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.112 * * * [progress]: generating series expansions 0.112 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.112 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.112 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.112 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.112 * [taylor]: Taking taylor expansion of (+ x y) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (- x y) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.112 * [taylor]: Taking taylor expansion of x in y 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.112 * [taylor]: Taking taylor expansion of y in y 0.113 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.113 * [taylor]: Taking taylor expansion of (+ x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (- x y) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.113 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.113 * [taylor]: Taking taylor expansion of x in x 0.113 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.113 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.113 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.114 * [taylor]: Taking taylor expansion of (+ x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (- x y) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.114 * [taylor]: Taking taylor expansion of x in x 0.114 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.114 * [taylor]: Taking taylor expansion of y in x 0.114 * [taylor]: Taking taylor expansion of -1 in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.117 * [taylor]: Taking taylor expansion of 2 in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.123 * [taylor]: Taking taylor expansion of 0 in y 0.123 * [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 0.123 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.123 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.123 * [taylor]: Taking taylor expansion of x in y 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.123 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.124 * [taylor]: Taking taylor expansion of x in y 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.124 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.126 * [taylor]: Taking taylor expansion of y in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.127 * [taylor]: Taking taylor expansion of x in x 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.127 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.129 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.131 * [taylor]: Taking taylor expansion of 1 in y 0.134 * [taylor]: Taking taylor expansion of 0 in y 0.138 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.138 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.138 * [taylor]: Taking taylor expansion of 2 in y 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.138 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.138 * [taylor]: Taking taylor expansion of y in y 0.146 * [taylor]: Taking taylor expansion of 0 in y 0.146 * [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 0.146 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.146 * [taylor]: Taking taylor expansion of -1 in y 0.146 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.146 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.149 * [taylor]: Taking taylor expansion of -1 in x 0.149 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.150 * [taylor]: Taking taylor expansion of x in x 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.150 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of 1 in y 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.163 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.163 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.163 * [taylor]: Taking taylor expansion of 2 in y 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * * * [progress]: simplifying candidates 0.172 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (neg (* (- x y) (+ x y))) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.176 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.182 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.208 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.209 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (- y x) (+ x y)) (neg (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ x y)) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (* (* (+ (* y (- y x)) (* x x)) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (* x x))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (* x x)) (+ x y)) (+ (* x x) (* y y))) (- (/ (pow x 4) 1) (/ (pow y 4) 1)) (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (* x x)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) -1 1 1 0.210 * * * [progress]: adding candidates to table 0.285 * * [progress]: iteration 2 / 4 0.285 * * * [progress]: picking best candidate 0.289 * * * * [pick]: Picked # 0.289 * * * [progress]: localizing error 0.297 * * * [progress]: generating rewritten candidates 0.297 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.305 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.327 * * * [progress]: generating series expansions 0.327 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.327 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 0.327 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (+ x y) in y 0.328 * [taylor]: Taking taylor expansion of x in y 0.328 * [taylor]: Taking taylor expansion of y in y 0.328 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (+ x y) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.328 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.328 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [taylor]: Taking taylor expansion of (+ x y) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of y in x 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (neg 1) in y 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.331 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of 2 in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.334 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.334 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.334 * [taylor]: Taking taylor expansion of 2 in y 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.334 * [taylor]: Taking taylor expansion of y in y 0.339 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.339 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.339 * [taylor]: Taking taylor expansion of x in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.340 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.340 * [taylor]: Taking taylor expansion of x in y 0.341 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.341 * [taylor]: Taking taylor expansion of y in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.342 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.342 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.342 * [taylor]: Taking taylor expansion of x in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.343 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.343 * [taylor]: Taking taylor expansion of y in x 0.343 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.343 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of 1 in y 0.346 * [taylor]: Taking taylor expansion of (neg (/ 1 y)) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.349 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.349 * [taylor]: Taking taylor expansion of 2 in y 0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.349 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 3)))) in y 0.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.355 * [taylor]: Taking taylor expansion of 2 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.362 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.362 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.362 * [taylor]: Taking taylor expansion of -1 in y 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.363 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.363 * [taylor]: Taking taylor expansion of x in y 0.364 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.364 * [taylor]: Taking taylor expansion of -1 in x 0.364 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 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 0.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.364 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.364 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.371 * [taylor]: Taking taylor expansion of -1 in x 0.371 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.371 * [taylor]: Taking taylor expansion of x in x 0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.371 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.372 * [taylor]: Taking taylor expansion of y in x 0.372 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.372 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of -1 in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.378 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.378 * [taylor]: Taking taylor expansion of 2 in y 0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.378 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.378 * [taylor]: Taking taylor expansion of y in y 0.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.385 * [taylor]: Taking taylor expansion of 2 in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.391 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.391 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.391 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.391 * [taylor]: Taking taylor expansion of (+ x y) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (- x y) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.392 * [taylor]: Taking taylor expansion of (+ x y) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (- x y) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.392 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.392 * [taylor]: Taking taylor expansion of (+ x y) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.392 * [taylor]: Taking taylor expansion of y in x 0.392 * [taylor]: Taking taylor expansion of (- x y) in x 0.392 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.393 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.393 * [taylor]: Taking taylor expansion of x in x 0.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.393 * [taylor]: Taking taylor expansion of y in x 0.393 * [taylor]: Taking taylor expansion of -1 in y 0.394 * [taylor]: Taking taylor expansion of 0 in y 0.396 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.396 * [taylor]: Taking taylor expansion of 2 in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of 0 in y 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.402 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.402 * [taylor]: Taking taylor expansion of x in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.405 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.405 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.406 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.408 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.408 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.408 * [taylor]: Taking taylor expansion of y in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.408 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.408 * [taylor]: Taking taylor expansion of x in x 0.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.409 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.409 * [taylor]: Taking taylor expansion of y in x 0.411 * [taylor]: Taking taylor expansion of 1 in y 0.413 * [taylor]: Taking taylor expansion of 0 in y 0.417 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.417 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.417 * [taylor]: Taking taylor expansion of 2 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 0.425 * [taylor]: Taking taylor expansion of 0 in y 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.426 * [taylor]: Taking taylor expansion of -1 in y 0.426 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.426 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.427 * [taylor]: Taking taylor expansion of x in y 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.427 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.428 * [taylor]: Taking taylor expansion of -1 in x 0.428 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.429 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.429 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.429 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.429 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.429 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.431 * [taylor]: Taking taylor expansion of -1 in x 0.431 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.431 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.432 * [taylor]: Taking taylor expansion of y in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.432 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.433 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.433 * [taylor]: Taking taylor expansion of y in x 0.435 * [taylor]: Taking taylor expansion of 1 in y 0.438 * [taylor]: Taking taylor expansion of 0 in y 0.442 * [taylor]: Taking taylor expansion of (neg (* 2 (/ 1 (pow y 2)))) in y 0.442 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.442 * [taylor]: Taking taylor expansion of 2 in y 0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.442 * [taylor]: Taking taylor expansion of y in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.451 * * * [progress]: simplifying candidates 0.459 * [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))) (neg (+ (* x x) (* y y))) (neg (+ 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))) (/ 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x y)) (- (sqrt x) (sqrt y))) (/ (/ (+ (* x x) (* y y)) (+ x y)) (- x 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 0.544 * * * [progress]: adding candidates to table 0.806 * * [progress]: iteration 3 / 4 0.806 * * * [progress]: picking best candidate 0.808 * * * * [pick]: Picked # 0.808 * * * [progress]: localizing error 0.808 * * * [progress]: generating rewritten candidates 0.808 * * * [progress]: generating series expansions 0.808 * * * [progress]: simplifying candidates 0.808 * [simplify]: Simplifying using # : 0.811 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.811 * [simplify]: Simplified to: 0.811 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 4 / 4 0.811 * * * [progress]: picking best candidate 0.812 * * * * [pick]: Picked # 0.812 * * * [progress]: localizing error 0.812 * * * [progress]: generating rewritten candidates 0.812 * * * [progress]: generating series expansions 0.812 * * * [progress]: simplifying candidates 0.813 * [simplify]: Simplifying using # : 0.815 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.815 * [simplify]: Simplified to: 0.815 * * * [progress]: adding candidates to table 0.815 * [progress]: [Phase 3 of 3] Extracting. 0.815 * * [regime]: Finding splitpoints for: (# # #) 0.816 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.816 * * * * [regimes]: Trying to branch on y from (# # #) 0.836 * * * * [regimes]: Trying to branch on x from (# # #) 0.860 * * * [regime]: Found split indices: #