4.650 * [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))) 0.022 * * [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 ) 0.027 * * [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 ) 0.045 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.080 * * [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) 0.103 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.103 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.103 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.103 * [taylor]: Taking taylor expansion of (+ x y) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (- x y) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of y in y 0.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.103 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.103 * [taylor]: Taking taylor expansion of x in y 0.103 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.103 * [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 0.104 * [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 (- 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 (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.104 * [taylor]: Taking taylor expansion of (* (+ x y) (- x 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 (- 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 0.106 * [taylor]: Taking taylor expansion of 0 in y 0.108 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.108 * [taylor]: Taking taylor expansion of 2 in y 0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.108 * [taylor]: Taking taylor expansion of y in y 0.113 * [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 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.114 * [taylor]: Taking taylor expansion of y in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.114 * [taylor]: Taking taylor expansion of x in y 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.114 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.114 * [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 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.117 * [taylor]: Taking taylor expansion of y in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.117 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.117 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.117 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.119 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.119 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 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 y) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.119 * [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 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.120 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.120 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of 1 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.128 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.128 * [taylor]: Taking taylor expansion of 2 in y 0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.128 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of 0 in y 0.140 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.140 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.140 * [taylor]: Taking taylor expansion of -1 in y 0.140 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.140 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.140 * [taylor]: Taking taylor expansion of y in y 0.140 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.140 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.143 * [taylor]: Taking taylor expansion of -1 in x 0.143 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.143 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.144 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.146 * [taylor]: Taking taylor expansion of -1 in x 0.146 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.146 * [taylor]: Taking taylor expansion of y in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.146 * [taylor]: Taking taylor expansion of x in x 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.146 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.147 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of 1 in y 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of 2 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of 0 in y 0.165 * * * [progress]: simplifying candidates 0.166 * [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 0.170 * * [simplify]: iteration 0 : 270 enodes (cost 311 ) 0.176 * * [simplify]: iteration 1 : 1434 enodes (cost 265 ) 0.201 * * [simplify]: iteration 2 : 5001 enodes (cost 261 ) 0.202 * [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 0.203 * * * [progress]: adding candidates to table 0.275 * * [progress]: iteration 2 / 4 0.275 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.296 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.317 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.317 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 0.317 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 0.317 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (+ x y) in y 0.317 * [taylor]: Taking taylor expansion of x in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (+ x y) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 0.318 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of (+ x y) in x 0.318 * [taylor]: Taking taylor expansion of x in x 0.318 * [taylor]: Taking taylor expansion of y in x 0.318 * [taylor]: Taking taylor expansion of y in y 0.319 * [taylor]: Taking taylor expansion of (- 1) in y 0.319 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.321 * [taylor]: Taking taylor expansion of 2 in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.324 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.324 * [taylor]: Taking taylor expansion of 2 in y 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.328 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.329 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.329 * [taylor]: Taking taylor expansion of x in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.329 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.330 * [taylor]: Taking taylor expansion of x in y 0.330 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.330 * [taylor]: Taking taylor expansion of x in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.331 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.331 * [taylor]: Taking taylor expansion of y in x 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.331 * [taylor]: Taking taylor expansion of x in x 0.332 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.332 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.334 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.338 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.344 * [taylor]: Taking taylor expansion of 2 in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.344 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.351 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 0.351 * [taylor]: Taking taylor expansion of -1 in y 0.351 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.351 * [taylor]: Taking taylor expansion of x in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.351 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.352 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.352 * [taylor]: Taking taylor expansion of x in y 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.353 * [taylor]: Taking taylor expansion of -1 in x 0.353 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.353 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.353 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.353 * [taylor]: Taking taylor expansion of y in x 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.353 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.354 * [taylor]: Taking taylor expansion of y in x 0.354 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.354 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 0.355 * [taylor]: Taking taylor expansion of -1 in x 0.355 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.355 * [taylor]: Taking taylor expansion of y in x 0.355 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.355 * [taylor]: Taking taylor expansion of x in x 0.357 * [taylor]: Taking taylor expansion of -1 in y 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.359 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.368 * [taylor]: Taking taylor expansion of 2 in y 0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.374 * [taylor]: Taking taylor expansion of 2 in y 0.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.380 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.380 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.380 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.380 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.380 * [taylor]: Taking taylor expansion of (+ x y) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (- x y) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.381 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (- x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.381 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.381 * [taylor]: Taking taylor expansion of (+ x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (- x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of -1 in y 0.383 * [taylor]: Taking taylor expansion of 0 in y 0.385 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.385 * [taylor]: Taking taylor expansion of 2 in y 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.385 * [taylor]: Taking taylor expansion of y in y 0.390 * [taylor]: Taking taylor expansion of 0 in y 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.391 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.391 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.391 * [taylor]: Taking taylor expansion of x in y 0.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.392 * [taylor]: Taking taylor expansion of x in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.394 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.394 * [taylor]: Taking taylor expansion of y in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.394 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.394 * [taylor]: Taking taylor expansion of x in x 0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.395 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.395 * [taylor]: Taking taylor expansion of y in x 0.396 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.396 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.396 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.396 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.396 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.398 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of 1 in y 0.401 * [taylor]: Taking taylor expansion of 0 in y 0.406 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.406 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.406 * [taylor]: Taking taylor expansion of 2 in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.414 * [taylor]: Taking taylor expansion of 0 in y 0.414 * [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 0.415 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.415 * [taylor]: Taking taylor expansion of -1 in y 0.415 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.415 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.415 * [taylor]: Taking taylor expansion of y in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.415 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.415 * [taylor]: Taking taylor expansion of x in y 0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.416 * [taylor]: Taking taylor expansion of y in y 0.417 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.417 * [taylor]: Taking taylor expansion of -1 in x 0.417 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.417 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.417 * [taylor]: Taking taylor expansion of y in x 0.417 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.417 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.418 * [taylor]: Taking taylor expansion of y in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.418 * [taylor]: Taking taylor expansion of x in x 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.420 * [taylor]: Taking taylor expansion of -1 in x 0.420 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.420 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.421 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of 1 in y 0.426 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of 2 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.439 * * * [progress]: simplifying candidates 0.442 * [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 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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 0.526 * * * [progress]: adding candidates to table 0.835 * * [progress]: iteration 3 / 4 0.835 * * * [progress]: picking best candidate 0.837 * * * * [pick]: Picked # 0.837 * * * [progress]: localizing error 0.838 * * * [progress]: generating rewritten candidates 0.838 * * * [progress]: generating series expansions 0.838 * * * [progress]: simplifying candidates 0.838 * [simplify]: Simplifying using # : 0.840 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.840 * [simplify]: Simplified to: 0.840 * * * [progress]: adding candidates to table 0.841 * * [progress]: iteration 4 / 4 0.841 * * * [progress]: picking best candidate 0.842 * * * * [pick]: Picked # 0.842 * * * [progress]: localizing error 0.845 * * * [progress]: generating rewritten candidates 0.845 * * * [progress]: generating series expansions 0.845 * * * [progress]: simplifying candidates 0.845 * [simplify]: Simplifying using # : 0.848 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.848 * [simplify]: Simplified to: 0.848 * * * [progress]: adding candidates to table 0.848 * [progress]: [Phase 3 of 3] Extracting. 0.848 * * [regime]: Finding splitpoints for: (# # # #) 0.848 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 0.848 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 0.866 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# #) 0.876 * * * * [regimes]: Trying to branch on y from (# # # #) 0.907 * * * * [regimes]: Trying to branch on x from (# # # #) 0.927 * * * [regime]: Found split indices: #