33.498 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.011 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (+ x y) (- x y)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 9 enodes (cost 3 ) 0.016 * * [simplify]: iteration 2 : 9 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (/ (+ x y) (- x y)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.018 * * * [progress]: localizing error 0.022 * * * [progress]: generating rewritten candidates 0.022 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.026 * * * [progress]: generating series expansions 0.026 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.026 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.026 * [taylor]: Taking taylor expansion of (+ x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (- x y) in y 0.026 * [taylor]: Taking taylor expansion of x in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.026 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (- x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (- x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of -1 in y 0.028 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.028 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.028 * [taylor]: Taking taylor expansion of 2 in y 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.030 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.030 * [taylor]: Taking taylor expansion of 2 in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.035 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.035 * [taylor]: Taking taylor expansion of 2 in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.035 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.041 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.043 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.043 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.046 * [taylor]: Taking taylor expansion of 2 in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.050 * [taylor]: Taking taylor expansion of 2 in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.056 * [taylor]: Taking taylor expansion of 2 in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.056 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.065 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.065 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.065 * [taylor]: Taking taylor expansion of -1 in y 0.065 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.065 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.065 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.065 * [taylor]: Taking taylor expansion of x in y 0.066 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.066 * [taylor]: Taking taylor expansion of -1 in x 0.066 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.066 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.066 * [taylor]: Taking taylor expansion of y in x 0.066 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.066 * [taylor]: Taking taylor expansion of x in x 0.067 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.067 * [taylor]: Taking taylor expansion of y in x 0.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.067 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.068 * [taylor]: Taking taylor expansion of -1 in x 0.068 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.068 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.068 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.068 * [taylor]: Taking taylor expansion of y in x 0.068 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.068 * [taylor]: Taking taylor expansion of x in x 0.070 * [taylor]: Taking taylor expansion of 1 in y 0.072 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.072 * [taylor]: Taking taylor expansion of 2 in y 0.072 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.072 * [taylor]: Taking taylor expansion of y in y 0.075 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.076 * [taylor]: Taking taylor expansion of 2 in y 0.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.076 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.076 * [taylor]: Taking taylor expansion of y in y 0.083 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.083 * [taylor]: Taking taylor expansion of 2 in y 0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.083 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.083 * [taylor]: Taking taylor expansion of y in y 0.089 * * * [progress]: simplifying candidates 0.089 * [simplify]: Simplifying using # : (- (+ x y)) (- (- x y)) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ (+ x y) (- (* x x) (* y y))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- x y) (- x y)) -1 1 1 0.091 * * [simplify]: iteration 0 : 62 enodes (cost 28 ) 0.093 * * [simplify]: iteration 1 : 149 enodes (cost 28 ) 0.097 * * [simplify]: iteration 2 : 379 enodes (cost 24 ) 0.105 * * [simplify]: iteration 3 : 1287 enodes (cost 24 ) 0.132 * * [simplify]: iteration 4 : 4077 enodes (cost 24 ) 0.206 * * [simplify]: iteration 5 : 5001 enodes (cost 24 ) 0.206 * [simplify]: Simplified to: (- (+ x y)) (- y x) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (+ x y) (- (pow x 3) (pow y 3))) (/ 1 (- x y)) (* (+ (* y (- y x)) (* x x)) (- x y)) (* (- x y) (- x y)) -1 1 1 0.207 * * * [progress]: adding candidates to table 0.223 * * [progress]: iteration 2 / 4 0.223 * * * [progress]: picking best candidate 0.226 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.231 * * * [progress]: generating rewritten candidates 0.231 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.235 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.240 * [approximate]: Taking taylor expansion of (/ (- x y) (+ x y)) in (x y) around 0 0.240 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in y 0.240 * [taylor]: Taking taylor expansion of (- x y) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [taylor]: Taking taylor expansion of (+ x y) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in x 0.241 * [taylor]: Taking taylor expansion of (- x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (/ (- x y) (+ x y)) in x 0.241 * [taylor]: Taking taylor expansion of (- x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of -1 in y 0.242 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of 2 in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.247 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.247 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.247 * [taylor]: Taking taylor expansion of 2 in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.252 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.252 * [taylor]: Taking taylor expansion of 2 in y 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.252 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.252 * [taylor]: Taking taylor expansion of y in y 0.258 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.258 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.260 * [taylor]: Taking taylor expansion of y in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.261 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.263 * [taylor]: Taking taylor expansion of 1 in y 0.264 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of 2 in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.267 * [taylor]: Taking taylor expansion of 2 in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.267 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.274 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.274 * [taylor]: Taking taylor expansion of 2 in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.274 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.280 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.280 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in y 0.280 * [taylor]: Taking taylor expansion of -1 in y 0.280 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.281 * [taylor]: Taking taylor expansion of y in y 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.281 * [taylor]: Taking taylor expansion of x in y 0.282 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.282 * [taylor]: Taking taylor expansion of -1 in x 0.282 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.282 * [taylor]: Taking taylor expansion of x in x 0.283 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.285 * [taylor]: Taking taylor expansion of 1 in y 0.287 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.287 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.287 * [taylor]: Taking taylor expansion of 2 in y 0.287 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.292 * [taylor]: Taking taylor expansion of 2 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.299 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.299 * [taylor]: Taking taylor expansion of 2 in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.299 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.305 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.305 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.305 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.305 * [taylor]: Taking taylor expansion of (+ x y) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (- x y) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.305 * [taylor]: Taking taylor expansion of (+ x y) in x 0.305 * [taylor]: Taking taylor expansion of x in x 0.305 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (- x y) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.306 * [taylor]: Taking taylor expansion of (+ x y) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of (- x y) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [taylor]: Taking taylor expansion of y in x 0.306 * [taylor]: Taking taylor expansion of -1 in y 0.307 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.307 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.307 * [taylor]: Taking taylor expansion of 2 in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.309 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.309 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.309 * [taylor]: Taking taylor expansion of 2 in y 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.309 * [taylor]: Taking taylor expansion of y in y 0.314 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.314 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.314 * [taylor]: Taking taylor expansion of 2 in y 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.314 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.314 * [taylor]: Taking taylor expansion of y in y 0.320 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.320 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.320 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.320 * [taylor]: Taking taylor expansion of y in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.322 * [taylor]: Taking taylor expansion of y in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.323 * [taylor]: Taking taylor expansion of y in x 0.323 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.325 * [taylor]: Taking taylor expansion of 1 in y 0.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.328 * [taylor]: Taking taylor expansion of 2 in y 0.328 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.329 * [taylor]: Taking taylor expansion of y in y 0.332 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.332 * [taylor]: Taking taylor expansion of 2 in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.332 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.339 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.339 * [taylor]: Taking taylor expansion of 2 in y 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.339 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.339 * [taylor]: Taking taylor expansion of y in y 0.344 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.344 * [taylor]: Taking taylor expansion of -1 in y 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.345 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.346 * [taylor]: Taking taylor expansion of -1 in x 0.346 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.346 * [taylor]: Taking taylor expansion of y in x 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.346 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of -1 in x 0.347 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.348 * [taylor]: Taking taylor expansion of y in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.351 * [taylor]: Taking taylor expansion of 2 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.355 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.355 * [taylor]: Taking taylor expansion of 2 in y 0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.355 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.355 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.362 * [taylor]: Taking taylor expansion of 2 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.362 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.368 * * * [progress]: simplifying candidates 0.368 * [simplify]: Simplifying using # : (- (- x y)) (- (+ x y)) (/ x (+ x y)) (/ y (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (- x y)) (/ (- x y) (+ (pow x 3) (pow y 3))) (/ (- x y) (- (* x x) (* y y))) (* (+ x y) (+ (* x x) (+ (* y y) (* x y)))) (* (+ x y) (+ x y)) (- 1) (- (/ (- x y) (+ x y))) (/ 1 (/ (- x y) (+ x y))) (/ (/ (- x y) (+ x y)) 1) (/ 1 (- x y)) (/ 1 (/ (- x y) (+ (pow x 3) (pow y 3)))) (/ 1 (/ (- x y) (- (* x x) (* y y)))) (/ 1 (- x y)) (/ 1 (- (- x y))) (/ 1 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 -1 1 1 0.371 * * [simplify]: iteration 0 : 92 enodes (cost 71 ) 0.373 * * [simplify]: iteration 1 : 261 enodes (cost 70 ) 0.380 * * [simplify]: iteration 2 : 1006 enodes (cost 68 ) 0.400 * * [simplify]: iteration 3 : 3469 enodes (cost 60 ) 0.454 * * [simplify]: iteration 4 : 5002 enodes (cost 59 ) 0.455 * [simplify]: Simplified to: (- y x) (- (+ x y)) (/ x (+ x y)) (/ y (+ x y)) (/ 1 (+ x y)) (/ (+ x y) (- x y)) (/ (- x y) (+ (pow x 3) (pow y 3))) (/ 1 (+ x y)) (* (+ (* y (+ y x)) (* x x)) (+ x y)) (* (+ x y) (+ x y)) (- 1) (- (/ (- x y) (+ x y))) (/ (+ x y) (- x y)) (/ (- x y) (+ x y)) (/ 1 (- x y)) (/ (+ (pow x 3) (pow y 3)) (- x y)) (+ x y) (/ 1 (- x y)) (/ 1 (- y x)) 1 (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 -1 1 1 0.455 * * * [progress]: adding candidates to table 0.499 * * [progress]: iteration 3 / 4 0.499 * * * [progress]: picking best candidate 0.503 * * * * [pick]: Picked # 0.503 * * * [progress]: localizing error 0.510 * * * [progress]: generating rewritten candidates 0.510 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.513 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.519 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.524 * * * [progress]: generating series expansions 0.524 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.524 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.524 * [taylor]: Taking taylor expansion of (+ x y) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.524 * [taylor]: Taking taylor expansion of (+ x y) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.524 * [taylor]: Taking taylor expansion of (+ x y) in x 0.524 * [taylor]: Taking taylor expansion of x in x 0.524 * [taylor]: Taking taylor expansion of y in x 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.535 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.535 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.535 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.536 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.536 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.536 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of 1 in y 0.538 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.548 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.548 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.548 * [taylor]: Taking taylor expansion of -1 in y 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.548 * [taylor]: Taking taylor expansion of x in y 0.549 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.549 * [taylor]: Taking taylor expansion of -1 in x 0.549 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.550 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.550 * [taylor]: Taking taylor expansion of -1 in x 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.550 * [taylor]: Taking taylor expansion of y in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of -1 in y 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.558 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.558 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.558 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.558 * [taylor]: Taking taylor expansion of (+ x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (- x y) in y 0.558 * [taylor]: Taking taylor expansion of x in y 0.559 * [taylor]: Taking taylor expansion of y in y 0.559 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.559 * [taylor]: Taking taylor expansion of (+ x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (- x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.559 * [taylor]: Taking taylor expansion of (+ x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of (- x y) in x 0.559 * [taylor]: Taking taylor expansion of x in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.559 * [taylor]: Taking taylor expansion of -1 in y 0.560 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.560 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.560 * [taylor]: Taking taylor expansion of 2 in y 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.560 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.562 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.562 * [taylor]: Taking taylor expansion of 2 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.567 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.567 * [taylor]: Taking taylor expansion of 2 in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.573 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.573 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.573 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.573 * [taylor]: Taking taylor expansion of y in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.574 * [taylor]: Taking taylor expansion of x in y 0.574 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.574 * [taylor]: Taking taylor expansion of y in y 0.575 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.575 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.575 * [taylor]: Taking taylor expansion of y in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.575 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.575 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.575 * [taylor]: Taking taylor expansion of x in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.576 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.576 * [taylor]: Taking taylor expansion of y in x 0.576 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.576 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of 1 in y 0.579 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.579 * [taylor]: Taking taylor expansion of 2 in y 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.582 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.582 * [taylor]: Taking taylor expansion of 2 in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.582 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.589 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.589 * [taylor]: Taking taylor expansion of 2 in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.595 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.595 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.595 * [taylor]: Taking taylor expansion of -1 in y 0.595 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.595 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.595 * [taylor]: Taking taylor expansion of x in y 0.596 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.596 * [taylor]: Taking taylor expansion of -1 in x 0.596 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.596 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.596 * [taylor]: Taking taylor expansion of x in x 0.597 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.597 * [taylor]: Taking taylor expansion of y in x 0.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.597 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.598 * [taylor]: Taking taylor expansion of -1 in x 0.598 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.598 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.598 * [taylor]: Taking taylor expansion of y in x 0.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.600 * [taylor]: Taking taylor expansion of 1 in y 0.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.602 * [taylor]: Taking taylor expansion of 2 in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of 2 in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.613 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.613 * [taylor]: Taking taylor expansion of 2 in y 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.613 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.613 * [taylor]: Taking taylor expansion of y in y 0.619 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.619 * [approximate]: Taking taylor expansion of (/ 1 (- x y)) in (x y) around 0 0.619 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 0.619 * [taylor]: Taking taylor expansion of (- x y) in y 0.619 * [taylor]: Taking taylor expansion of x in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.619 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.619 * [taylor]: Taking taylor expansion of (- x y) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.619 * [taylor]: Taking taylor expansion of (- x y) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.619 * [taylor]: Taking taylor expansion of -1 in y 0.619 * [taylor]: Taking taylor expansion of y in y 0.621 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.621 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.621 * [taylor]: Taking taylor expansion of y in y 0.626 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.626 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.627 * [taylor]: Taking taylor expansion of y in y 0.633 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.633 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 0.633 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.633 * [taylor]: Taking taylor expansion of x in y 0.633 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.633 * [taylor]: Taking taylor expansion of y in y 0.634 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.634 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.634 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.634 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.635 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.635 * [taylor]: Taking taylor expansion of x in x 0.635 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.635 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of 1 in y 0.637 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.639 * [taylor]: Taking taylor expansion of y in y 0.643 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.643 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 0.643 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.643 * [taylor]: Taking taylor expansion of y in y 0.643 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.643 * [taylor]: Taking taylor expansion of x in y 0.644 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.644 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.644 * [taylor]: Taking taylor expansion of y in x 0.644 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.644 * [taylor]: Taking taylor expansion of x in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.645 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.645 * [taylor]: Taking taylor expansion of y in x 0.645 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.645 * [taylor]: Taking taylor expansion of x in x 0.646 * [taylor]: Taking taylor expansion of -1 in y 0.647 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.647 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.647 * [taylor]: Taking taylor expansion of y in y 0.650 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.650 * [taylor]: Taking taylor expansion of y in y 0.654 * * * [progress]: simplifying candidates 0.654 * [simplify]: Simplifying using # : (- 1) (- (+ x y)) (/ 1 (+ x y)) (/ (+ x y) 1) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) (- (/ 1 (- x y))) (- (/ 1 (+ x y))) (/ 1 1) (/ (/ 1 (- x y)) (/ 1 (+ x y))) (/ 1 (/ 1 (+ (pow x 3) (pow y 3)))) (/ (/ 1 (- x y)) (+ (* x x) (- (* y y) (* x y)))) (/ 1 (/ 1 (- (* x x) (* y y)))) (/ (/ 1 (- x y)) (- x y)) (/ (/ 1 (- (pow x 3) (pow y 3))) 1) (/ (+ (* x x) (+ (* y y) (* x y))) (/ 1 (+ x y))) (/ (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (/ (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y)))) (/ (+ (* x x) (+ (* y y) (* x y))) (- x y)) (/ (/ 1 (- (* x x) (* y y))) 1) (/ (+ x y) (/ 1 (+ x y))) (/ (/ 1 (- (* x x) (* y y))) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (+ x y) (+ (* x x) (- (* y y) (* x y)))) (/ (/ 1 (- (* x x) (* y y))) (/ 1 (- (* x x) (* y y)))) (/ (+ x y) (- x y)) (/ 1 (/ 1 (+ x y))) (/ (/ 1 (+ x y)) (/ 1 (- x y))) (/ (/ 1 (- x y)) 1) (/ (/ 1 (- x y)) (/ 1 (+ (pow x 3) (pow y 3)))) (/ (/ 1 (- x y)) (/ 1 (- (* x x) (* y y)))) (/ (/ 1 (+ x y)) (/ 1 (- x y))) (/ (/ 1 (+ x y)) (+ (* x x) (+ (* y y) (* x y)))) (/ (/ 1 (+ x y)) (+ x y)) (/ (/ 1 (- x y)) 1) (/ (/ 1 (- x y)) (- 1)) (/ (/ 1 (- x y)) 1) (* (/ 1 (+ x y)) (- x y)) (* (/ 1 (+ x y)) (- (- x y))) (* (/ 1 (+ x y)) (/ (- x y) 1)) (- 1) (- (- x y)) (/ 1 (- x y)) (/ (- x y) 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 -1 1 1 0 0 0 0.658 * * [simplify]: iteration 0 : 153 enodes (cost 185 ) 0.662 * * [simplify]: iteration 1 : 851 enodes (cost 167 ) 0.688 * * [simplify]: iteration 2 : 5002 enodes (cost 164 ) 0.690 * [simplify]: Simplified to: (- 1) (- (+ x y)) (/ 1 (+ x y)) (+ x y) (/ 1 (+ (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) (- (/ 1 (- x y))) (- (/ 1 (+ x y))) 1 (/ (+ x y) (- x y)) (+ (pow x 3) (pow y 3)) (/ (/ 1 (+ (* y (- y x)) (* x x))) (- x y)) (- (* x x) (* y y)) (/ (/ 1 (- x y)) (- x y)) (/ 1 (- (pow x 3) (pow y 3))) (* (+ (* y (+ y x)) (* x x)) (+ x y)) (/ (+ (pow x 3) (pow y 3)) (- (pow x 3) (pow y 3))) (/ (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (/ (- (* x x) (* y y)) (- (pow x 3) (pow y 3))) (/ (+ (* y (+ y x)) (* x x)) (- x y)) (/ 1 (- (* x x) (* y y))) (* (+ x y) (+ x y)) (/ (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (/ (+ x y) (+ (* y (- y x)) (* x x))) 1 (/ (+ x y) (- x y)) (+ x y) (/ (- x y) (+ x y)) (/ 1 (- x y)) (/ (+ (pow x 3) (pow y 3)) (- x y)) (/ (- (* x x) (* y y)) (- x y)) (/ (- x y) (+ x y)) (/ (/ 1 (+ (* y (+ y x)) (* x x))) (+ x y)) (/ (/ 1 (+ x y)) (+ x y)) (/ 1 (- x y)) (/ 1 (- (- x y))) (/ 1 (- x y)) (/ (- x y) (+ x y)) (/ (- (- x y)) (+ x y)) (/ (- x y) (+ x y)) (- 1) (- y x) (/ 1 (- x y)) (- x y) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) 0 0 0 -1 1 1 0 0 0 0.690 * * * [progress]: adding candidates to table 0.754 * * [progress]: iteration 4 / 4 0.754 * * * [progress]: picking best candidate 0.757 * * * * [pick]: Picked # 0.757 * * * [progress]: localizing error 0.766 * * * [progress]: generating rewritten candidates 0.766 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.773 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.777 * * * [progress]: generating series expansions 0.777 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.777 * [approximate]: Taking taylor expansion of (/ (+ x y) (- x y)) in (x y) around 0 0.777 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in y 0.777 * [taylor]: Taking taylor expansion of (+ x y) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (- x y) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.778 * [taylor]: Taking taylor expansion of (+ x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (- x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (/ (+ x y) (- x y)) in x 0.778 * [taylor]: Taking taylor expansion of (+ x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of (- x y) in x 0.778 * [taylor]: Taking taylor expansion of x in x 0.778 * [taylor]: Taking taylor expansion of y in x 0.778 * [taylor]: Taking taylor expansion of -1 in y 0.779 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.779 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.779 * [taylor]: Taking taylor expansion of 2 in y 0.779 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.779 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.781 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.781 * [taylor]: Taking taylor expansion of 2 in y 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.782 * [taylor]: Taking taylor expansion of y in y 0.787 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.787 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.787 * [taylor]: Taking taylor expansion of 2 in y 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.787 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.792 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.792 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in y 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.792 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.792 * [taylor]: Taking taylor expansion of y in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.793 * [taylor]: Taking taylor expansion of x in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.794 * [taylor]: Taking taylor expansion of y in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.794 * [taylor]: Taking taylor expansion of x in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 x) (/ 1 y))) in x 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.795 * [taylor]: Taking taylor expansion of y in x 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.795 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.796 * [taylor]: Taking taylor expansion of x in x 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.796 * [taylor]: Taking taylor expansion of y in x 0.797 * [taylor]: Taking taylor expansion of 1 in y 0.798 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.798 * [taylor]: Taking taylor expansion of 2 in y 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.798 * [taylor]: Taking taylor expansion of y in y 0.801 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.801 * [taylor]: Taking taylor expansion of 2 in y 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.808 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.808 * [taylor]: Taking taylor expansion of 2 in y 0.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.808 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.808 * [taylor]: Taking taylor expansion of y in y 0.813 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.813 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.813 * [taylor]: Taking taylor expansion of -1 in y 0.813 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.813 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.813 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.813 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.814 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.814 * [taylor]: Taking taylor expansion of y in y 0.814 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.814 * [taylor]: Taking taylor expansion of x in y 0.815 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.815 * [taylor]: Taking taylor expansion of -1 in x 0.815 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.815 * [taylor]: Taking taylor expansion of y in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.816 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.816 * [taylor]: Taking taylor expansion of -1 in x 0.817 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.817 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.817 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.817 * [taylor]: Taking taylor expansion of y in x 0.817 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.817 * [taylor]: Taking taylor expansion of x in x 0.818 * [taylor]: Taking taylor expansion of 1 in y 0.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.820 * [taylor]: Taking taylor expansion of 2 in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of 2 in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.831 * [taylor]: Taking taylor expansion of 2 in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.831 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.831 * [taylor]: Taking taylor expansion of y in y 0.836 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.836 * [approximate]: Taking taylor expansion of (/ 1 (- x y)) in (x y) around 0 0.836 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in y 0.836 * [taylor]: Taking taylor expansion of (- x y) in y 0.836 * [taylor]: Taking taylor expansion of x in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.837 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.837 * [taylor]: Taking taylor expansion of (- x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (- x y)) in x 0.837 * [taylor]: Taking taylor expansion of (- x y) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [taylor]: Taking taylor expansion of y in x 0.837 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.837 * [taylor]: Taking taylor expansion of -1 in y 0.837 * [taylor]: Taking taylor expansion of y in y 0.838 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.838 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 0.842 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.842 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.852 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.852 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in y 0.852 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.852 * [taylor]: Taking taylor expansion of x in y 0.852 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.852 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.853 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 x) (/ 1 y))) in x 0.854 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [taylor]: Taking taylor expansion of 1 in y 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.855 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.861 * [approximate]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.861 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in y 0.861 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.861 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.861 * [taylor]: Taking taylor expansion of y in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.862 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 y) (/ 1 x))) in x 0.863 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of -1 in y 0.865 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.873 * * * [progress]: simplifying candidates 0.874 * [simplify]: Simplifying using # : (* 1 (+ x y)) (* (- x y) 1) (* 1 (- (+ x y))) (* (- x y) (- 1)) (* 1 1) (* (- x y) (/ 1 (+ x y))) (* 1 (+ (pow x 3) (pow y 3))) (* (- x y) (* 1 (+ (* x x) (- (* y y) (* x y))))) (* 1 (- (* x x) (* y y))) (* (- x y) (* 1 (- x y))) (* (- 1) (+ x y)) (* (- (- x y)) 1) (* (- 1) (- (+ x y))) (* (- (- x y)) (- 1)) (* (- 1) 1) (* (- (- x y)) (/ 1 (+ x y))) (* (- 1) (+ (pow x 3) (pow y 3))) (* (- (- x y)) (* 1 (+ (* x x) (- (* y y) (* x y))))) (* (- 1) (- (* x x) (* y y))) (* (- (- x y)) (* 1 (- x y))) (* 1 (+ x y)) (* (/ (- x y) 1) 1) (* 1 (- (+ x y))) (* (/ (- x y) 1) (- 1)) (* 1 1) (* (/ (- x y) 1) (/ 1 (+ x y))) (* 1 (+ (pow x 3) (pow y 3))) (* (/ (- x y) 1) (* 1 (+ (* x x) (- (* y y) (* x y))))) (* 1 (- (* x x) (* y y))) (* (/ (- x y) 1) (* 1 (- x y))) (* (/ 1 (- x y)) (+ x y)) (* (/ 1 (- x y)) (/ (+ x y) 1)) (* (+ (* x x) (+ (* y y) (* x y))) (/ (+ x y) 1)) (* (+ x y) (/ (+ x y) 1)) (* (/ 1 (- x y)) (+ x y)) (* (/ 1 (- x y)) (- (+ x y))) (* (/ 1 (- x y)) 1) (* (/ 1 (- x y)) (+ (pow x 3) (pow y 3))) (* (/ 1 (- x y)) (- (* x x) (* y y))) (* 1 (/ (+ x y) 1)) (* (- 1) (/ (+ x y) 1)) (* 1 (/ (+ x y) 1)) (- 1) (- (- x y)) (/ 1 (- x y)) (/ (- x y) 1) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 0 0 0 0.880 * * [simplify]: iteration 0 : 211 enodes (cost 134 ) 0.888 * * [simplify]: iteration 1 : 1015 enodes (cost 130 ) 0.920 * * [simplify]: iteration 2 : 5001 enodes (cost 120 ) 0.921 * [simplify]: Simplified to: (+ x y) (- x y) (- (+ x y)) (- y x) 1 (/ (- x y) (+ x y)) (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (- x y)) (- (* x x) (* y y)) (* (- x y) (- x y)) (- (+ x y)) (- y x) (+ x y) (- x y) (- 1) (/ (- (- x y)) (+ x y)) (- (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (* x x)) (- (- x y))) (* (+ x y) (- y x)) (* (- x y) (- y x)) (+ x y) (- x y) (- (+ x y)) (- y x) 1 (/ (- x y) (+ x y)) (+ (pow x 3) (pow y 3)) (* (+ (* y (- y x)) (* x x)) (- x y)) (- (* x x) (* y y)) (* (- x y) (- x y)) (/ (+ x y) (- x y)) (/ (+ x y) (- x y)) (* (+ x y) (+ (* y (+ y x)) (* x x))) (* (+ x y) (+ x y)) (/ (+ x y) (- x y)) (/ (- (+ x y)) (- x y)) (/ 1 (- x y)) (/ (+ (pow x 3) (pow y 3)) (- x y)) (+ x y) (+ x y) (- (+ x y)) (+ x y) (- 1) (- y x) (/ 1 (- x y)) (- x y) (/ 1 (- (pow x 3) (pow y 3))) (/ 1 (- (* x x) (* y y))) -1 1 1 0 0 0 0.921 * * * [progress]: adding candidates to table 0.974 * [progress]: [Phase 3 of 3] Extracting. 0.974 * * [regime]: Finding splitpoints for: (# # # #) 0.975 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (- x y)) y x) 0.975 * * * * [regimes]: Trying to branch on (/ (+ x y) (- x y)) from (# # # #) 0.987 * * * * [regimes]: Trying to branch on y from (# # # #) 1.004 * * * * [regimes]: Trying to branch on x from (# # # #) 1.018 * * * [regime]: Found split indices: #