8.838 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.010 * * * [progress]: [2/2] Setting up program. 0.012 * [progress]: [Phase 2 of 3] Improving. 0.012 * [simplify]: Simplifying using # : (/ (+ x y) (+ y 1.0)) 0.014 * * [simplify]: iteration 0 : 8 enodes (cost 3 ) 0.015 * * [simplify]: iteration 1 : 8 enodes (cost 3 ) 0.016 * [simplify]: Simplified to: (/ (+ x y) (+ y 1.0)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [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) (+ y 1.0)) in (x y) around 0 0.026 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) 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 (+ y 1.0) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of 1.0 in y 0.027 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) 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 (+ y 1.0) in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.027 * [taylor]: Taking taylor expansion of (/ (+ x y) (+ y 1.0)) 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 (+ y 1.0) in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of 1.0 in x 0.027 * [taylor]: Taking taylor expansion of (/ y (+ y 1.0)) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.028 * [taylor]: Taking taylor expansion of 1.0 in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (+ y 1.0)) in y 0.029 * [taylor]: Taking taylor expansion of (+ y 1.0) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of 1.0 in y 0.030 * [taylor]: Taking taylor expansion of 0 in y 0.032 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in (x y) around 0 0.032 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.032 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.032 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.033 * [taylor]: Taking taylor expansion of x in y 0.033 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.033 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.033 * [taylor]: Taking taylor expansion of 1.0 in y 0.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.034 * [taylor]: Taking taylor expansion of x in x 0.034 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.034 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.034 * [taylor]: Taking taylor expansion of y in x 0.034 * [taylor]: Taking taylor expansion of 1.0 in x 0.034 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.035 * [taylor]: Taking taylor expansion of x in x 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.035 * [taylor]: Taking taylor expansion of y in x 0.035 * [taylor]: Taking taylor expansion of 1.0 in x 0.035 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) 1.0)) in y 0.035 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.035 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.035 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) 1.0) y)) in y 0.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) 1.0) y) in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.037 * [taylor]: Taking taylor expansion of 1.0 in y 0.037 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.045 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in y 0.045 * [taylor]: Taking taylor expansion of -1 in y 0.045 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of 1.0 in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.047 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.047 * [taylor]: Taking taylor expansion of -1 in x 0.047 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.047 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.047 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.047 * [taylor]: Taking taylor expansion of 1.0 in x 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.047 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y)))) in x 0.048 * [taylor]: Taking taylor expansion of -1 in x 0.048 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- 1.0 (/ 1 y))) in x 0.048 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.048 * [taylor]: Taking taylor expansion of x in x 0.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in x 0.048 * [taylor]: Taking taylor expansion of 1.0 in x 0.048 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.048 * [taylor]: Taking taylor expansion of y in x 0.049 * [taylor]: Taking taylor expansion of (/ -1 (- 1.0 (/ 1 y))) in y 0.049 * [taylor]: Taking taylor expansion of -1 in y 0.049 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.049 * [taylor]: Taking taylor expansion of 1.0 in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (- (/ 1 (* y (- 1.0 (/ 1 y))))) in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 (* y (- 1.0 (/ 1 y)))) in y 0.051 * [taylor]: Taking taylor expansion of (* y (- 1.0 (/ 1 y))) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 y)) in y 0.051 * [taylor]: Taking taylor expansion of 1.0 in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.051 * [taylor]: Taking taylor expansion of y in y 0.056 * [taylor]: Taking taylor expansion of 0 in y 0.060 * * * [progress]: simplifying candidates 0.061 * [simplify]: Simplifying using # : (- (+ x y)) (- (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (+ y 1.0) (+ (* x x) (- (* y y) (* x y)))) (* (+ y 1.0) (- x y)) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.064 * * [simplify]: iteration 0 : 93 enodes (cost 44 ) 0.066 * * [simplify]: iteration 1 : 224 enodes (cost 42 ) 0.071 * * [simplify]: iteration 2 : 711 enodes (cost 42 ) 0.087 * * [simplify]: iteration 3 : 2474 enodes (cost 40 ) 0.129 * * [simplify]: iteration 4 : 5001 enodes (cost 40 ) 0.129 * [simplify]: Simplified to: (- (+ x y)) (- (+ y 1.0)) (/ 1 (+ y 1.0)) (/ (+ y 1.0) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow 1.0 3))) (/ (+ x y) (- (* y y) (* 1.0 1.0))) (* (+ (* y (- y x)) (* x x)) (+ y 1.0)) (* (+ y 1.0) (- x y)) (* 1.0 (- (+ x y) (* x y))) (- (/ x y) (- (/ 1.0 y) 1)) (- (/ x y) (- (/ 1.0 y) 1)) 0.129 * * * [progress]: adding candidates to table 0.151 * * [progress]: iteration 2 / 4 0.151 * * * [progress]: picking best candidate 0.154 * * * * [pick]: Picked # 0.154 * * * [progress]: localizing error 0.163 * * * [progress]: generating rewritten candidates 0.163 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.170 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.182 * * * [progress]: generating series expansions 0.182 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.182 * [approximate]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in y 0.182 * [taylor]: Taking taylor expansion of (+ x y) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 1.0 in y 0.184 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in x 0.184 * [taylor]: Taking taylor expansion of (+ x y) in x 0.184 * [taylor]: Taking taylor expansion of x in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.184 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of 1.0 in x 0.185 * [taylor]: Taking taylor expansion of (/ (+ x y) (- (pow y 2) 1.0)) in x 0.185 * [taylor]: Taking taylor expansion of (+ x y) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [taylor]: Taking taylor expansion of 1.0 in x 0.186 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 1.0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (- (pow y 2) 1.0)) in y 0.188 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 1.0 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [taylor]: Taking taylor expansion of 1.0 in y 0.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of 1.0 in x 0.202 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [taylor]: Taking taylor expansion of 1.0 in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (- (/ 1 (pow y 2)) 1.0)) in y 0.204 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 1.0 in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.207 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.207 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of 1.0 in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.221 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in (x y) around 0 0.229 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in y 0.229 * [taylor]: Taking taylor expansion of -1 in y 0.229 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in y 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.229 * [taylor]: Taking taylor expansion of y in y 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.229 * [taylor]: Taking taylor expansion of x in y 0.229 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [taylor]: Taking taylor expansion of 1.0 in y 0.231 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in x 0.231 * [taylor]: Taking taylor expansion of -1 in x 0.231 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [taylor]: Taking taylor expansion of 1.0 in x 0.232 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0))) in x 0.232 * [taylor]: Taking taylor expansion of -1 in x 0.232 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (/ 1 x)) (- (/ 1 (pow y 2)) 1.0)) in x 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.233 * [taylor]: Taking taylor expansion of y in x 0.233 * [taylor]: Taking taylor expansion of 1.0 in x 0.234 * [taylor]: Taking taylor expansion of (/ -1 (- (/ 1 (pow y 2)) 1.0)) in y 0.234 * [taylor]: Taking taylor expansion of -1 in y 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.235 * [taylor]: Taking taylor expansion of 1.0 in y 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.237 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [taylor]: Taking taylor expansion of 1.0 in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.258 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.258 * [approximate]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in y 0.258 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in y 0.258 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 1.0 in y 0.259 * [taylor]: Taking taylor expansion of (+ x y) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of 1.0 in y 0.261 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in x 0.261 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in x 0.261 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.261 * [taylor]: Taking taylor expansion of (+ x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (/ (* (- y 1.0) (+ x y)) (- (pow y 2) 1.0)) in x 0.262 * [taylor]: Taking taylor expansion of (* (- y 1.0) (+ x y)) in x 0.262 * [taylor]: Taking taylor expansion of (- y 1.0) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.262 * [taylor]: Taking taylor expansion of (+ x y) in x 0.262 * [taylor]: Taking taylor expansion of x in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in x 0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.262 * [taylor]: Taking taylor expansion of y in x 0.262 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of (/ (* y (- y 1.0)) (- (pow y 2) 1.0)) in y 0.264 * [taylor]: Taking taylor expansion of (* y (- y 1.0)) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (- y 1.0) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.264 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.270 * [taylor]: Taking taylor expansion of (- (/ y (- (pow y 2) 1.0)) (* 1.0 (/ 1 (- (pow y 2) 1.0)))) in y 0.270 * [taylor]: Taking taylor expansion of (/ y (- (pow y 2) 1.0)) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.270 * [taylor]: Taking taylor expansion of y in y 0.270 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (- (pow y 2) 1.0))) in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (- (pow y 2) 1.0)) in y 0.272 * [taylor]: Taking taylor expansion of (- (pow y 2) 1.0) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.279 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in y 0.279 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) in y 0.279 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.279 * [taylor]: Taking taylor expansion of x in y 0.279 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.279 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.279 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.280 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.280 * [taylor]: Taking taylor expansion of y in y 0.280 * [taylor]: Taking taylor expansion of 1.0 in y 0.281 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) 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) 1.0) 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 1.0 in x 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.282 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.282 * [taylor]: Taking taylor expansion of y in x 0.282 * [taylor]: Taking taylor expansion of 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) 1.0)) 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 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) 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 1.0 in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [taylor]: Taking taylor expansion of 1.0 in x 0.286 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) 1.0) (- (/ 1 (pow y 2)) 1.0)) in y 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 y) 1.0) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [taylor]: Taking taylor expansion of 1.0 in y 0.286 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of 1.0 in y 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)))) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) in y 0.290 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.290 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.290 * [taylor]: Taking taylor expansion of y in y 0.291 * [taylor]: Taking taylor expansion of 1.0 in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.292 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.292 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.292 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) 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 0.292 * [taylor]: Taking taylor expansion of 1.0 in y 0.292 * [taylor]: Taking taylor expansion of y in y 0.298 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in (x y) around 0 0.302 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in y 0.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in y 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [taylor]: Taking taylor expansion of 1.0 in y 0.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.304 * [taylor]: Taking taylor expansion of 1.0 in y 0.307 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) (- (/ 1 (pow y 2)) 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (+ (/ 1 y) 1.0)) in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [taylor]: Taking taylor expansion of 1.0 in x 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.310 * [taylor]: Taking taylor expansion of 1.0 in x 0.311 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) 1.0) (- (/ 1 (pow y 2)) 1.0)) in y 0.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) 1.0) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.311 * [taylor]: Taking taylor expansion of 1.0 in y 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.311 * [taylor]: Taking taylor expansion of y in y 0.312 * [taylor]: Taking taylor expansion of 1.0 in y 0.314 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)))) in y 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y))) in y 0.315 * [taylor]: Taking taylor expansion of 1.0 in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) y)) in y 0.315 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) y) in y 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.315 * [taylor]: Taking taylor expansion of 1.0 in y 0.315 * [taylor]: Taking taylor expansion of y in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 (pow y 2)) 1.0) (pow y 2))) in y 0.317 * [taylor]: Taking taylor expansion of (* (- (/ 1 (pow y 2)) 1.0) (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) 1.0) in y 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.318 * [taylor]: Taking taylor expansion of 1.0 in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.325 * * * [progress]: simplifying candidates 0.326 * [simplify]: Simplifying using # : (- (+ x y)) (- (- (* y y) (* 1.0 1.0))) (/ 1 (- (* y y) (* 1.0 1.0))) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (/ (+ x y) (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (- (* y y) (* 1.0 1.0)) (+ (* x x) (- (* y y) (* x y)))) (* (- (* y y) (* 1.0 1.0)) (- x y)) (* (+ x y) (- (pow y 3) (pow 1.0 3))) (* (- (* y y) (* 1.0 1.0)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (+ x y) (- (* y y) (* 1.0 1.0))) (* (- (* y y) (* 1.0 1.0)) (+ y 1.0)) (* (- (+ x y)) (- (pow y 3) (pow 1.0 3))) (* (- (- (* y y) (* 1.0 1.0))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (- (+ x y)) (- (* y y) (* 1.0 1.0))) (* (- (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (* 1 (- (pow y 3) (pow 1.0 3))) (* (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* 1 (- (* y y) (* 1.0 1.0))) (* (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (- y 1.0) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (* (- y 1.0) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (- y 1.0) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (* (- y 1.0) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (- y 1.0) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (* (- y 1.0) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (- y 1.0) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (* (- y 1.0) (+ y 1.0)) (* (+ (pow x 3) (pow y 3)) (- (pow y 3) (pow 1.0 3))) (* (* (- (* y y) (* 1.0 1.0)) (+ (* x x) (- (* y y) (* x y)))) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (+ (pow x 3) (pow y 3)) (- (* y y) (* 1.0 1.0))) (* (* (- (* y y) (* 1.0 1.0)) (+ (* x x) (- (* y y) (* x y)))) (+ y 1.0)) (* (- (* x x) (* y y)) (- (pow y 3) (pow 1.0 3))) (* (* (- (* y y) (* 1.0 1.0)) (- x y)) (+ (* y y) (+ (* 1.0 1.0) (* y 1.0)))) (* (- (* x x) (* y y)) (- (* y y) (* 1.0 1.0))) (* (* (- (* y y) (* 1.0 1.0)) (- x y)) (+ y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* y (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* (- 1.0) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* y (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* (- 1.0) (/ (+ x y) (- (* y y) (* 1.0 1.0)))) (* (/ 1 (- (* y y) (* 1.0 1.0))) (- y 1.0)) (* (+ (* (* y y) (* y y)) (+ (* (* 1.0 1.0) (* 1.0 1.0)) (* (* y y) (* 1.0 1.0)))) (- y 1.0)) (* (+ (* y y) (* 1.0 1.0)) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0))) (* (+ x y) (- y 1.0)) (* (- (+ x y)) (- y 1.0)) (* 1 (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (+ (pow x 3) (pow y 3)) (- y 1.0)) (* (- (* x x) (* y y)) (- y 1.0)) (- (+ (* 1.0 (* x (pow y 2))) (+ (* 1.0 x) (* 1.0 y)))) (+ (/ 1 y) (+ (/ x (pow y 2)) (* 1.0 (/ 1 (pow y 3))))) (+ (/ 1 y) (+ (/ x (pow y 2)) (* 1.0 (/ 1 (pow y 3))))) (- (+ (* 1.0 x) (* 1.0 y)) (* 1.0 (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.332 * * [simplify]: iteration 0 : 363 enodes (cost 458 ) 0.341 * * [simplify]: iteration 1 : 2278 enodes (cost 453 ) 0.389 * * [simplify]: iteration 2 : 5002 enodes (cost 441 ) 0.391 * [simplify]: Simplified to: (- (+ x y)) (- (- (* y y) (* 1.0 1.0))) (/ 1 (- (* y y) (* 1.0 1.0))) (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (+ y 1.0)) (/ (+ x y) (- (pow (* y y) 3) (pow (* 1.0 1.0) 3))) (/ (+ x y) (- (* (* y y) (* y y)) (* (* 1.0 1.0) (* 1.0 1.0)))) (* (+ (* y (- y x)) (* x x)) (- (* y y) (* 1.0 1.0))) (* (- (* y y) (* 1.0 1.0)) (- x y)) (* (+ x y) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- (* y y) (* 1.0 1.0))) (* (+ x y) (- (* y y) (* 1.0 1.0))) (* (- (* y y) (* 1.0 1.0)) (+ y 1.0)) (* (- (+ x y)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- (- (* y y) (* 1.0 1.0)))) (* (- (+ x y)) (- (* y y) (* 1.0 1.0))) (* (- (- (* y y) (* 1.0 1.0))) (+ y 1.0)) (- (pow y 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (/ (- (* y y) (* 1.0 1.0)) (+ x y))) (- (* y y) (* 1.0 1.0)) (* (/ (- (* y y) (* 1.0 1.0)) (+ x y)) (+ y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- (* y y) (* 1.0 1.0))) (- (* y y) (* 1.0 1.0)) (* (+ (pow x 3) (pow y 3)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (* (+ (* y (- y x)) (* x x)) (- (* y y) (* 1.0 1.0)))) (* (+ (pow x 3) (pow y 3)) (- (* y y) (* 1.0 1.0))) (* (+ y 1.0) (* (+ (* y (- y x)) (* x x)) (- (* y y) (* 1.0 1.0)))) (* (- (* x x) (* y y)) (- (pow y 3) (pow 1.0 3))) (* (+ (* 1.0 (+ 1.0 y)) (pow y 2)) (* (- (* y y) (* 1.0 1.0)) (- x y))) (* (- (* x x) (* y y)) (- (* y y) (* 1.0 1.0))) (* (* (- (* y y) (* 1.0 1.0)) (- x y)) (+ y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) y) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- 1.0)) (/ 1 (+ y 1.0)) (* (+ (+ (pow y 4) (* (* y y) (* 1.0 1.0))) (pow 1.0 4)) (- y 1.0)) (* (+ (* y y) (* 1.0 1.0)) (- y 1.0)) (* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- (pow y 3) (pow 1.0 3))) (+ x y) (* (+ x y) (- y 1.0)) (* (- (+ x y)) (- y 1.0)) (- y 1.0) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (/ (+ x y) (+ y 1.0)) (- y 1.0)) (* (+ (pow x 3) (pow y 3)) (- y 1.0)) (* (- (* x x) (* y y)) (- y 1.0)) (* (- 1.0) (+ (* x (pow y 2)) (+ x y))) (+ (/ 1 y) (+ (/ x (pow y 2)) (* 1.0 (/ 1 (pow y 3))))) (+ (/ 1 y) (+ (/ x (pow y 2)) (* 1.0 (/ 1 (pow y 3))))) (* 1.0 (- (+ x y) (* x y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) (- (+ (/ x y) 1) (* 1.0 (/ 1 y))) 0.392 * * * [progress]: adding candidates to table 0.488 * * [progress]: iteration 3 / 4 0.488 * * * [progress]: picking best candidate 0.490 * * * * [pick]: Picked # 0.490 * * * [progress]: localizing error 0.497 * * * [progress]: generating rewritten candidates 0.497 * * * * [progress]: [ 1 / 1 ] rewriting at (2 1) 0.500 * * * [progress]: generating series expansions 0.500 * * * * [progress]: [ 1 / 1 ] generating series at (2 1) 0.500 * [approximate]: Taking taylor expansion of (+ (/ x y) 1) in (x y) around 0 0.500 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.500 * [taylor]: Taking taylor expansion of (/ x y) in y 0.500 * [taylor]: Taking taylor expansion of x in y 0.500 * [taylor]: Taking taylor expansion of y in y 0.500 * [taylor]: Taking taylor expansion of 1 in y 0.500 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.500 * [taylor]: Taking taylor expansion of (/ x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of 1 in x 0.500 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.500 * [taylor]: Taking taylor expansion of (/ x y) in x 0.500 * [taylor]: Taking taylor expansion of x in x 0.500 * [taylor]: Taking taylor expansion of y in x 0.500 * [taylor]: Taking taylor expansion of 1 in x 0.501 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.501 * [taylor]: Taking taylor expansion of y in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (x y) around 0 0.503 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.503 * [taylor]: Taking taylor expansion of (/ y x) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of x in y 0.503 * [taylor]: Taking taylor expansion of 1 in y 0.503 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.503 * [taylor]: Taking taylor expansion of (/ y x) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1 in x 0.504 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.504 * [taylor]: Taking taylor expansion of (/ y x) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of 1 in x 0.504 * [taylor]: Taking taylor expansion of y in y 0.505 * [taylor]: Taking taylor expansion of 1 in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [approximate]: Taking taylor expansion of (+ (/ y x) 1) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.507 * [taylor]: Taking taylor expansion of (/ y x) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of 1 in y 0.507 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.507 * [taylor]: Taking taylor expansion of (/ y x) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.507 * [taylor]: Taking taylor expansion of (/ y x) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of 1 in x 0.508 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 1 in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.511 * * * [progress]: simplifying candidates 0.511 * [simplify]: Simplifying using # : (+ (pow (/ x y) 3) (pow 1 3)) (+ (* (/ x y) (/ x y)) (- (* 1 1) (* (/ x y) 1))) (- (* (/ x y) (/ x y)) (* 1 1)) (- (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.514 * * [simplify]: iteration 0 : 47 enodes (cost 22 ) 0.516 * * [simplify]: iteration 1 : 193 enodes (cost 21 ) 0.519 * * [simplify]: iteration 2 : 427 enodes (cost 20 ) 0.527 * * [simplify]: iteration 3 : 1013 enodes (cost 20 ) 0.550 * * [simplify]: iteration 4 : 3158 enodes (cost 20 ) 0.631 * * [simplify]: iteration 5 : 5001 enodes (cost 20 ) 0.631 * [simplify]: Simplified to: (+ 1 (pow (/ x y) 3)) (+ (* (/ x y) (- (/ x y) 1)) 1) (- (* (/ x y) (/ x y)) 1) (- (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) (+ (/ x y) 1) 0.631 * * * [progress]: adding candidates to table 0.638 * [progress]: [Phase 3 of 3] Extracting. 0.638 * * [regime]: Finding splitpoints for: (# # #) 0.638 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y 1.0)) y x) 0.638 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y 1.0)) from (# # #) 0.652 * * * * [regimes]: Trying to branch on y from (# # #) 0.665 * * * * [regimes]: Trying to branch on x from (# # #) 0.676 * * * [regime]: Found split indices: #