14.942 * [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)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.015 * [simplify]: Simplified to: (/ x (+ y x)) 0.015 * * [progress]: iteration 1 / 4 0.015 * * * [progress]: picking best candidate 0.016 * * * * [pick]: Picked # 0.016 * * * [progress]: localizing error 0.019 * * * [progress]: generating rewritten candidates 0.019 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.025 * * * [progress]: generating series expansions 0.025 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.025 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of (+ x y) in y 0.025 * [taylor]: Taking taylor expansion of x in y 0.025 * [taylor]: Taking taylor expansion of y in y 0.025 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of (+ x y) in x 0.025 * [taylor]: Taking taylor expansion of x in x 0.025 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of (+ x y) in x 0.026 * [taylor]: Taking taylor expansion of x in x 0.026 * [taylor]: Taking taylor expansion of y in x 0.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.026 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.027 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.030 * [taylor]: Taking taylor expansion of y in y 0.037 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.037 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) 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 x) in y 0.037 * [taylor]: Taking taylor expansion of x in y 0.037 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.038 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.038 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.038 * [taylor]: Taking taylor expansion of y in x 0.038 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.038 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.039 * [taylor]: Taking taylor expansion of y in x 0.039 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.039 * [taylor]: Taking taylor expansion of x in x 0.041 * [taylor]: Taking taylor expansion of 1 in y 0.042 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.046 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.050 * [taylor]: Taking taylor expansion of x in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.050 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.052 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.054 * [taylor]: Taking taylor expansion of 1 in y 0.055 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.066 * * * [progress]: simplifying candidates 0.067 * [simplify]: Simplifying using # : (- (log x) (log (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (/ (* (* x x) x) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (* (* (/ x (+ y x)) (/ x (+ y x))) (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ (sqrt x) 1) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (/ 1 1) (/ x (+ y x)) (/ 1 1) (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) (/ x 1) (/ x 1) (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.070 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.072 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.077 * * [simplify]: iteration 2 : 1031 enodes (cost 144 ) 0.095 * * [simplify]: iteration 3 : 3646 enodes (cost 144 ) 0.142 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.143 * [simplify]: Simplified to: (log (/ x (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) (cbrt (/ x (+ y x))) (pow (/ x (+ y x)) 3) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (- x) (- (+ y x)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (* (cbrt x) (cbrt x)) (/ (cbrt x) (+ y x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (/ (sqrt x) (+ y x)) (sqrt x) (/ (sqrt x) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) (/ (+ y x) x) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ (+ y x) (cbrt x)) (/ (+ y x) (sqrt x)) (/ (+ y x) x) (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) 0 0 0 0.143 * * * [progress]: adding candidates to table 0.185 * * [progress]: iteration 2 / 4 0.185 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.194 * * * [progress]: generating rewritten candidates 0.194 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.205 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.216 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (y x) around 0 0.216 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (+ x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (+ x y) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of (+ x y) in y 0.216 * [taylor]: Taking taylor expansion of x in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [taylor]: Taking taylor expansion of 1 in x 0.217 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.223 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.223 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.223 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.223 * [taylor]: Taking taylor expansion of y in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.232 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.232 * [taylor]: Taking taylor expansion of x in x 0.238 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in (y x) around 0 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in x 0.239 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.240 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 y) (/ 1 x)) x)) in y 0.241 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.248 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.248 * [taylor]: Taking taylor expansion of x in x 0.254 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.254 * [approximate]: Taking taylor expansion of (/ (+ x y) x) in (y x) around 0 0.254 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in x 0.254 * [taylor]: Taking taylor expansion of (+ x y) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of y in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of (/ (+ x y) x) in y 0.255 * [taylor]: Taking taylor expansion of (+ x y) in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of y in y 0.255 * [taylor]: Taking taylor expansion of x in y 0.255 * [taylor]: Taking taylor expansion of 1 in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.257 * [taylor]: Taking taylor expansion of 0 in x 0.258 * [taylor]: Taking taylor expansion of 0 in x 0.258 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) 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 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.259 * [taylor]: Taking taylor expansion of y in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [taylor]: Taking taylor expansion of 1 in x 0.261 * [taylor]: Taking taylor expansion of 0 in x 0.263 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [taylor]: Taking taylor expansion of 0 in x 0.265 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in x 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) x) in y 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [taylor]: Taking taylor expansion of x in x 0.267 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.270 * [taylor]: Taking taylor expansion of 0 in x 0.271 * [taylor]: Taking taylor expansion of 0 in x 0.272 * * * [progress]: simplifying candidates 0.273 * [simplify]: Simplifying using # : (- 1) (- (- (log (+ y x)) (log x))) (- (log (/ (+ y x) x))) (- 0 (- (log (+ y x)) (log x))) (- 0 (log (/ (+ y x) x))) (- (log 1) (- (log (+ y x)) (log x))) (- (log 1) (log (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ (* (* 1 1) 1) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x))) (/ (* (* 1 1) 1) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x))) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (* (* (/ 1 (/ (+ y x) x)) (/ 1 (/ (+ y x) x))) (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (cbrt 1) (cbrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ y x) x))) (/ (cbrt 1) (sqrt (/ (+ y x) x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (cbrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (cbrt 1) (/ (cbrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) (sqrt x))) (/ (cbrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ y x)) 1)) (/ (cbrt 1) (/ (sqrt (+ y x)) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (* (cbrt x) (cbrt x)))) (/ (cbrt 1) (/ (+ y x) (cbrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 (sqrt x))) (/ (cbrt 1) (/ (+ y x) (sqrt x))) (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (+ y x) x)) (/ (* (cbrt 1) (cbrt 1)) (+ y x)) (/ (cbrt 1) (/ 1 x)) (/ (sqrt 1) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ (sqrt 1) (cbrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (sqrt (/ (+ y x) x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (cbrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ (sqrt 1) (/ (cbrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ (sqrt 1) (/ (cbrt (+ y x)) x)) (/ (sqrt 1) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (sqrt (+ y x)) (cbrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) (sqrt x))) (/ (sqrt 1) (/ (sqrt (+ y x)) 1)) (/ (sqrt 1) (/ (sqrt (+ y x)) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (/ 1 (* (cbrt x) (cbrt x)))) (/ (sqrt 1) (/ (+ y x) (cbrt x))) (/ (sqrt 1) (/ 1 (sqrt x))) (/ (sqrt 1) (/ (+ y x) (sqrt x))) (/ (sqrt 1) (/ 1 1)) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ y x) x)) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) (/ 1 x)) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (cbrt (+ y x)) (cbrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (cbrt (+ y x)) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (cbrt (+ y x)) x)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (cbrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ (sqrt (+ y x)) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ (+ y x) (cbrt x))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ (+ y x) (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ (+ y x) x)) (/ 1 1) (/ 1 (/ (+ y x) x)) (/ 1 (+ y x)) (/ 1 (/ 1 x)) (/ 1 (/ (+ y x) x)) (/ (/ (+ y x) x) 1) (/ 1 (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x)))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x)))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x))) (/ 1 (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1)) (/ 1 (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x)))) (/ 1 (/ (sqrt (+ y x)) (sqrt x))) (/ 1 (/ (sqrt (+ y x)) 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 (/ 1 (* (cbrt x) (cbrt x)))) (/ 1 (/ 1 (sqrt x))) (/ 1 (/ 1 1)) (/ 1 1) (/ 1 (+ y x)) (/ (/ (+ y x) x) (cbrt 1)) (/ (/ (+ y x) x) (sqrt 1)) (/ (/ (+ y x) x) 1) (/ 1 (+ y x)) (- (log (+ y x)) (log x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (/ (* (* (+ y x) (+ y x)) (+ y x)) (* (* x x) x)) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (* (* (/ (+ y x) x) (/ (+ y x) x)) (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) 1) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) 1) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) (/ 1 1) (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) 1) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* x (+ (* y y) (- (* x x) (* y x)))) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.280 * * [simplify]: iteration 0 : 348 enodes (cost 800 ) 0.287 * * [simplify]: iteration 1 : 1547 enodes (cost 702 ) 0.309 * * [simplify]: iteration 2 : 5001 enodes (cost 612 ) 0.317 * [simplify]: Simplified to: (- 1) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (log (/ 1 (/ (+ y x) x))) (exp (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (/ 1 (pow (/ (+ y x) x) 3)) (* (cbrt (/ 1 (/ (+ y x) x))) (cbrt (/ 1 (/ (+ y x) x)))) (cbrt (/ 1 (/ (+ y x) x))) (/ 1 (pow (/ (+ y x) x) 3)) (sqrt (/ 1 (/ (+ y x) x))) (sqrt (/ 1 (/ (+ y x) x))) (- 1) (- (/ (+ y x) x)) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt x) (cbrt (+ y x))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (cbrt (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (cbrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) (* (cbrt x) (cbrt x)) (/ 1 (/ (+ y x) (cbrt x))) (sqrt x) (/ (sqrt x) (+ y x)) 1 (/ x (+ y x)) 1 (/ x (+ y x)) (/ 1 (+ y x)) x (/ x (+ y x)) (/ (+ y x) x) (/ (/ 1 (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x))) (/ 1 (sqrt (/ (+ y x) x))) (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (* (cbrt x) (cbrt x)) (sqrt x) 1 (* (cbrt x) (cbrt x)) (sqrt x) 1 1 (/ 1 (+ y x)) (/ (+ y x) x) (/ (+ y x) x) (/ (+ y x) x) (/ 1 (+ y x)) (log (/ (+ y x) x)) (log (/ (+ y x) x)) (exp (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (* (cbrt (/ (+ y x) x)) (cbrt (/ (+ y x) x))) (cbrt (/ (+ y x) x)) (pow (/ (+ y x) x) 3) (sqrt (/ (+ y x) x)) (sqrt (/ (+ y x) x)) (- (+ y x)) (- x) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (* (cbrt x) (cbrt x))) (/ (cbrt (+ y x)) (cbrt x)) (/ (* (cbrt (+ y x)) (cbrt (+ y x))) (sqrt x)) (/ (cbrt (+ y x)) (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))) (/ (cbrt (+ y x)) x) (/ (sqrt (+ y x)) (* (cbrt x) (cbrt x))) (/ (sqrt (+ y x)) (cbrt x)) (/ (sqrt (+ y x)) (sqrt x)) (/ (sqrt (+ y x)) (sqrt x)) (sqrt (+ y x)) (/ (sqrt (+ y x)) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 (* (cbrt x) (cbrt x))) (/ (+ y x) (cbrt x)) (/ 1 (sqrt x)) (/ (+ y x) (sqrt x)) 1 (/ (+ y x) x) (/ 1 x) (/ x (+ y x)) (/ (+ y x) (* (cbrt x) (cbrt x))) (/ (+ y x) (sqrt x)) (+ y x) (/ x (cbrt (+ y x))) (/ x (sqrt (+ y x))) (/ x (+ y x)) (/ x (+ y x)) (* (+ (* x (- x y)) (* y y)) x) (* x (- y x)) 0 0 0 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) 0.318 * * * [progress]: adding candidates to table 0.415 * * [progress]: iteration 3 / 4 0.415 * * * [progress]: picking best candidate 0.417 * * * * [pick]: Picked # 0.417 * * * [progress]: localizing error 0.421 * * * [progress]: generating rewritten candidates 0.421 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.430 * * * [progress]: generating series expansions 0.430 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.430 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in (y x) around 0 0.431 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in x 0.431 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in x 0.431 * [taylor]: Taking taylor expansion of (/ y x) in x 0.431 * [taylor]: Taking taylor expansion of y in x 0.431 * [taylor]: Taking taylor expansion of x in x 0.431 * [taylor]: Taking taylor expansion of 1 in x 0.431 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.431 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.431 * [taylor]: Taking taylor expansion of (/ y x) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.431 * [taylor]: Taking taylor expansion of x in y 0.431 * [taylor]: Taking taylor expansion of 1 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ y x) 1)) in y 0.432 * [taylor]: Taking taylor expansion of (+ (/ y x) 1) in y 0.432 * [taylor]: Taking taylor expansion of (/ y x) in y 0.432 * [taylor]: Taking taylor expansion of y in y 0.432 * [taylor]: Taking taylor expansion of x in y 0.432 * [taylor]: Taking taylor expansion of 1 in y 0.432 * [taylor]: Taking taylor expansion of 1 in x 0.432 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.432 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.432 * [taylor]: Taking taylor expansion of x in x 0.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.434 * [taylor]: Taking taylor expansion of x in x 0.438 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.438 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.438 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.438 * [taylor]: Taking taylor expansion of (/ x y) in x 0.438 * [taylor]: Taking taylor expansion of x in x 0.438 * [taylor]: Taking taylor expansion of y in x 0.438 * [taylor]: Taking taylor expansion of 1 in x 0.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.439 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.439 * [taylor]: Taking taylor expansion of (/ x y) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.439 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.439 * [taylor]: Taking taylor expansion of (/ x y) in y 0.439 * [taylor]: Taking taylor expansion of x in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 1 in y 0.439 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.439 * [taylor]: Taking taylor expansion of x in x 0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.441 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.445 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.454 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in (y x) around 0 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in x 0.455 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in x 0.455 * [taylor]: Taking taylor expansion of (/ x y) in x 0.455 * [taylor]: Taking taylor expansion of x in x 0.455 * [taylor]: Taking taylor expansion of y in x 0.455 * [taylor]: Taking taylor expansion of 1 in x 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.455 * [taylor]: Taking taylor expansion of (/ x y) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 1 in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ x y) 1)) in y 0.455 * [taylor]: Taking taylor expansion of (+ (/ x y) 1) in y 0.455 * [taylor]: Taking taylor expansion of (/ x y) in y 0.455 * [taylor]: Taking taylor expansion of x in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of 1 in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.456 * [taylor]: Taking taylor expansion of x in x 0.457 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.457 * [taylor]: Taking taylor expansion of x in x 0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.461 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.461 * [taylor]: Taking taylor expansion of x in x 0.468 * * * [progress]: simplifying candidates 0.468 * [simplify]: Simplifying using # : (- 1) (- (log (+ (/ y x) 1))) (- 0 (log (+ (/ y x) 1))) (- (log 1) (log (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ (* (* 1 1) 1) (* (* (+ (/ y x) 1) (+ (/ y x) 1)) (+ (/ y x) 1))) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (* (* (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1))) (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (cbrt 1) (cbrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ (/ y x) 1))) (/ (cbrt 1) (sqrt (+ (/ y x) 1))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ (/ y x) 1)) (/ (sqrt 1) (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ (sqrt 1) (cbrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) (sqrt (+ (/ y x) 1))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ (/ y x) 1)) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 1) (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (/ (+ (/ y x) 1) 1) (/ 1 (* (cbrt (+ (/ y x) 1)) (cbrt (+ (/ y x) 1)))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 1) (/ 1 1) (/ (+ (/ y x) 1) (cbrt 1)) (/ (+ (/ y x) 1) (sqrt 1)) (/ (+ (/ y x) 1) 1) (/ 1 (+ (pow (/ y x) 3) (pow 1 3))) (/ 1 (- (* (/ y x) (/ y x)) (* 1 1))) 0 0 0 0.472 * * [simplify]: iteration 0 : 126 enodes (cost 204 ) 0.475 * * [simplify]: iteration 1 : 546 enodes (cost 164 ) 0.481 * * [simplify]: iteration 2 : 1369 enodes (cost 164 ) 0.498 * * [simplify]: iteration 3 : 3712 enodes (cost 164 ) 0.604 * * [simplify]: iteration 4 : 5001 enodes (cost 164 ) 0.606 * [simplify]: Simplified to: (- 1) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (log (/ 1 (+ (/ y x) 1))) (exp (/ 1 (+ (/ y x) 1))) (/ 1 (pow (+ (/ y x) 1) 3)) (* (cbrt (/ 1 (+ (/ y x) 1))) (cbrt (/ 1 (+ (/ y x) 1)))) (cbrt (/ 1 (+ (/ y x) 1))) (/ 1 (pow (+ (/ y x) 1) 3)) (sqrt (/ 1 (+ (/ y x) 1))) (sqrt (/ 1 (+ (/ y x) 1))) (- 1) (- (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 (/ 1 (+ (/ y x) 1)) 1 (/ 1 (+ (/ y x) 1)) (/ 1 (+ (/ y x) 1)) (+ (/ y x) 1) (/ (/ 1 (cbrt (+ (/ y x) 1))) (cbrt (+ (/ y x) 1))) (/ 1 (sqrt (+ (/ y x) 1))) 1 1 (+ (/ y x) 1) (+ (/ y x) 1) (+ (/ y x) 1) (/ 1 (+ (pow (/ y x) 3) 1)) (/ 1 (- (* (/ y x) (/ y x)) 1)) 0 0 0 0.606 * * * [progress]: adding candidates to table 0.634 * * [progress]: iteration 4 / 4 0.634 * * * [progress]: picking best candidate 0.635 * * * * [pick]: Picked # 0.635 * * * [progress]: localizing error 0.640 * * * [progress]: generating rewritten candidates 0.640 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.656 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.666 * * * [progress]: generating series expansions 0.666 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.666 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.666 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.666 * [taylor]: Taking taylor expansion of (+ x y) in y 0.666 * [taylor]: Taking taylor expansion of x in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.667 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (+ x y) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of (+ x y) in x 0.667 * [taylor]: Taking taylor expansion of x in x 0.667 * [taylor]: Taking taylor expansion of y in x 0.667 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.667 * [taylor]: Taking taylor expansion of y in y 0.668 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.668 * [taylor]: Taking taylor expansion of y in y 0.671 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.671 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.672 * [taylor]: Taking taylor expansion of y in y 0.678 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.678 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.678 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.678 * [taylor]: Taking taylor expansion of y in y 0.678 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.678 * [taylor]: Taking taylor expansion of x in y 0.679 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.679 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.679 * [taylor]: Taking taylor expansion of y in x 0.679 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.679 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.681 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.681 * [taylor]: Taking taylor expansion of y in x 0.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.681 * [taylor]: Taking taylor expansion of x in x 0.682 * [taylor]: Taking taylor expansion of 1 in y 0.684 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.684 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.684 * [taylor]: Taking taylor expansion of y in y 0.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.687 * [taylor]: Taking taylor expansion of y in y 0.691 * [approximate]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.691 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in y 0.691 * [taylor]: Taking taylor expansion of -1 in y 0.692 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in y 0.692 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in y 0.692 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.692 * [taylor]: Taking taylor expansion of -1 in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.692 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.692 * [taylor]: Taking taylor expansion of y in y 0.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.692 * [taylor]: Taking taylor expansion of x in y 0.693 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.693 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.693 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.693 * [taylor]: Taking taylor expansion of -1 in x 0.693 * [taylor]: Taking taylor expansion of x in x 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.694 * [taylor]: Taking taylor expansion of y in x 0.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.694 * [taylor]: Taking taylor expansion of x in x 0.695 * [taylor]: Taking taylor expansion of (* -1 (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x)))) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of (/ (pow (sqrt (/ -1 x)) 2) (+ (/ 1 y) (/ 1 x))) in x 0.695 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 x)) 2) in x 0.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.695 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.695 * [taylor]: Taking taylor expansion of -1 in x 0.695 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.698 * [taylor]: Taking taylor expansion of +nan.0 in y 0.703 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.703 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.703 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.703 * [taylor]: Taking taylor expansion of +nan.0 in y 0.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.703 * [taylor]: Taking taylor expansion of y in y 0.703 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.703 * [taylor]: Taking taylor expansion of +nan.0 in y 0.712 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.712 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.712 * [taylor]: Taking taylor expansion of +nan.0 in y 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.712 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.713 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.713 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.713 * [taylor]: Taking taylor expansion of +nan.0 in y 0.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.713 * [taylor]: Taking taylor expansion of y in y 0.713 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.713 * [taylor]: Taking taylor expansion of +nan.0 in y 0.721 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.721 * [approximate]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in (x y) around 0 0.721 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in y 0.721 * [taylor]: Taking taylor expansion of (sqrt x) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.721 * [taylor]: Taking taylor expansion of (+ x y) in y 0.721 * [taylor]: Taking taylor expansion of x in y 0.721 * [taylor]: Taking taylor expansion of y in y 0.721 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in x 0.721 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.721 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.722 * [taylor]: Taking taylor expansion of (+ x y) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.722 * [taylor]: Taking taylor expansion of y in x 0.722 * [taylor]: Taking taylor expansion of (* (sqrt x) (/ 1 (+ x y))) in x 0.722 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.722 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.723 * [taylor]: Taking taylor expansion of (+ x y) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of 0 in y 0.724 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 y))) in y 0.724 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.724 * [taylor]: Taking taylor expansion of +nan.0 in y 0.724 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 2)))))) in y 0.728 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (* +nan.0 (/ 1 (pow y 2))))) in y 0.728 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.728 * [taylor]: Taking taylor expansion of +nan.0 in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.728 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow y 2)))) in y 0.728 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.728 * [taylor]: Taking taylor expansion of +nan.0 in y 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.728 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.728 * [taylor]: Taking taylor expansion of y in y 0.737 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.737 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in y 0.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.737 * [taylor]: Taking taylor expansion of x in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.737 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.737 * [taylor]: Taking taylor expansion of y in y 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.738 * [taylor]: Taking taylor expansion of x in y 0.738 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 0.738 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.738 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.738 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.739 * [taylor]: Taking taylor expansion of y in x 0.739 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.739 * [taylor]: Taking taylor expansion of x in x 0.740 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (+ (/ 1 y) (/ 1 x)))) in x 0.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.740 * [taylor]: Taking taylor expansion of x in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in x 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of 0 in y 0.743 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.743 * [taylor]: Taking taylor expansion of +nan.0 in y 0.747 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.747 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.747 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.748 * [taylor]: Taking taylor expansion of +nan.0 in y 0.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.748 * [taylor]: Taking taylor expansion of y in y 0.748 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.748 * [taylor]: Taking taylor expansion of +nan.0 in y 0.750 * [approximate]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.750 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in y 0.750 * [taylor]: Taking taylor expansion of -1 in y 0.750 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in y 0.750 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in y 0.750 * [taylor]: Taking taylor expansion of (/ -1 x) in y 0.750 * [taylor]: Taking taylor expansion of -1 in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.751 * [taylor]: Taking taylor expansion of y in y 0.751 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.751 * [taylor]: Taking taylor expansion of x in y 0.751 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.751 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.751 * [taylor]: Taking taylor expansion of -1 in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.753 * [taylor]: Taking taylor expansion of y in x 0.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.753 * [taylor]: Taking taylor expansion of x in x 0.753 * [taylor]: Taking taylor expansion of (* -1 (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x)))) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.753 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 x)) (+ (/ 1 y) (/ 1 x))) in x 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.753 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.753 * [taylor]: Taking taylor expansion of -1 in x 0.754 * [taylor]: Taking taylor expansion of x in x 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.755 * [taylor]: Taking taylor expansion of y in x 0.755 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.755 * [taylor]: Taking taylor expansion of x in x 0.756 * [taylor]: Taking taylor expansion of +nan.0 in y 0.760 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- +nan.0))) in y 0.760 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- +nan.0)) in y 0.760 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.760 * [taylor]: Taking taylor expansion of +nan.0 in y 0.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.760 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.760 * [taylor]: Taking taylor expansion of +nan.0 in y 0.768 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y 0.768 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 y)) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 y)) in y 0.768 * [taylor]: Taking taylor expansion of +nan.0 in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.768 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y 0.768 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y 0.768 * [taylor]: Taking taylor expansion of +nan.0 in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.769 * [taylor]: Taking taylor expansion of (- +nan.0) in y 0.769 * [taylor]: Taking taylor expansion of +nan.0 in y 0.776 * * * [progress]: simplifying candidates 0.778 * [simplify]: Simplifying using # : (* (sqrt x) (/ (sqrt x) (+ y x))) (+ (log (sqrt x)) (- (log (sqrt x)) (log (+ y x)))) (+ (log (sqrt x)) (log (/ (sqrt x) (+ y x)))) (log (* (sqrt x) (/ (sqrt x) (+ y x)))) (exp (* (sqrt x) (/ (sqrt x) (+ y x)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (/ (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* (sqrt x) (sqrt x)) (sqrt x)) (* (* (/ (sqrt x) (+ y x)) (/ (sqrt x) (+ y x))) (/ (sqrt x) (+ y x)))) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (cbrt (* (sqrt x) (/ (sqrt x) (+ y x))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (* (* (* (sqrt x) (/ (sqrt x) (+ y x))) (* (sqrt x) (/ (sqrt x) (+ y x)))) (* (sqrt x) (/ (sqrt x) (+ y x)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ y x)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ y x)))) (* (sqrt (sqrt x)) (sqrt (/ (sqrt x) (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt x) (* (cbrt (/ (sqrt x) (+ y x))) (cbrt (/ (sqrt x) (+ y x))))) (* (sqrt x) (sqrt (/ (sqrt x) (+ y x)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ y x)))) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (* (cbrt x) (cbrt x))) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt 1) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (sqrt x) (/ (sqrt (sqrt x)) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ (sqrt (sqrt x)) 1)) (* (sqrt x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 1)) (* (sqrt x) (/ 1 1)) (* (sqrt x) 1) (* (sqrt x) (sqrt x)) (* (sqrt x) (/ (sqrt x) (+ (pow y 3) (pow x 3)))) (* (sqrt x) (/ (sqrt x) (- (* y y) (* x x)))) (* (cbrt (sqrt x)) (/ (sqrt x) (+ y x))) (* (sqrt (cbrt x)) (/ (sqrt x) (+ y x))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ y x))) (* (sqrt x) (/ (sqrt x) (+ y x))) (* (sqrt (sqrt x)) (/ (sqrt x) (+ y x))) (* (sqrt x) (/ (sqrt x) (+ y x))) (* (sqrt x) (sqrt 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(cbrt x) (cbrt x))) 1) (/ (sqrt (cbrt x)) (+ y x)) (/ (sqrt (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt (sqrt x)) (cbrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ y x)) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt x) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt x) (+ y x)) (/ (sqrt (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt (sqrt x)) (cbrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ y x)) (/ (sqrt (sqrt x)) 1) (/ (sqrt (sqrt x)) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ 1 1) (/ (sqrt x) (+ y x)) (/ 1 1) (/ (sqrt x) (+ y x)) (/ 1 (+ y x)) (/ (+ y x) (sqrt x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) 1) (/ (sqrt x) 1) (/ (+ y x) (cbrt (sqrt x))) (/ (+ y x) (sqrt (cbrt x))) (/ (+ y x) (sqrt (sqrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) (sqrt (sqrt x))) (/ (+ y x) (sqrt x)) (/ (sqrt x) (+ (pow y 3) (pow x 3))) (/ (sqrt x) (- (* y y) (* x x))) 0 0 0 0 0 0 0.783 * * [simplify]: iteration 0 : 260 enodes (cost 698 ) 0.788 * * [simplify]: iteration 1 : 1135 enodes (cost 618 ) 0.810 * * [simplify]: iteration 2 : 4815 enodes (cost 594 ) 0.868 * * [simplify]: iteration 3 : 5002 enodes (cost 594 ) 0.872 * [simplify]: Simplified to: (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (pow (exp 1) (/ x (+ y x))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (cbrt (* (sqrt x) (/ (sqrt x) (+ y x))))) (cbrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (sqrt (* (sqrt x) (/ (sqrt x) (+ y x)))) (* 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y x)) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt (sqrt x)) (cbrt (+ y x))) (/ (* (cbrt (sqrt x)) (cbrt (sqrt x))) (sqrt (+ y x))) (/ (cbrt (sqrt x)) (sqrt (+ y x))) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ y x)) (* (cbrt (sqrt x)) (cbrt (sqrt x))) (/ (cbrt (sqrt x)) (+ y x)) (/ (/ (fabs (cbrt x)) (cbrt (+ y x))) (cbrt (+ y x))) (/ (sqrt (cbrt x)) (cbrt (+ y x))) (/ (fabs (cbrt x)) (* (sqrt (+ y x)) 1)) (/ (sqrt (cbrt x)) (sqrt (+ y x))) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ y x)) (fabs (cbrt x)) (/ (sqrt (cbrt x)) (+ y x)) (/ (sqrt (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt (sqrt x)) (cbrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ y x)) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) 1 (/ (sqrt x) (+ y x)) 1 (/ (sqrt x) (+ y x)) (/ (sqrt (sqrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt (sqrt x)) (cbrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (/ (sqrt (sqrt x)) (sqrt (+ y x))) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ y x)) (sqrt (sqrt x)) (/ (sqrt (sqrt x)) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) 1 (/ (sqrt x) (+ y x)) 1 (/ (sqrt x) (+ y x)) (/ 1 (+ y x)) (/ (+ y x) (sqrt x)) (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (sqrt x) (sqrt x) (/ (+ y x) (cbrt (sqrt x))) (/ (+ y x) (sqrt (cbrt x))) (/ (+ y x) (sqrt (sqrt x))) (/ (+ y x) (sqrt x)) (/ (+ y x) (sqrt (sqrt x))) (/ (+ y x) (sqrt x)) (/ (sqrt x) (+ (pow y 3) (pow x 3))) (/ (sqrt x) (- (* y y) (* x x))) 0 0 0 0 0 0 0.872 * * * [progress]: adding candidates to table 0.995 * [progress]: [Phase 3 of 3] Extracting. 0.995 * * [regime]: Finding splitpoints for: (# # #) 0.995 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 0.995 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 1.005 * * * * [regimes]: Trying to branch on y from (# # #) 1.019 * * * * [regimes]: Trying to branch on x from (# # #) 1.031 * * * [regime]: Found split indices: #