15.397 * [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. 0.011 * [simplify]: Simplifying using # : (/ x (+ y x)) 0.014 * * [simplify]: iteration 0 : 5 enodes (cost 2 ) 0.015 * * [simplify]: iteration 1 : 5 enodes (cost 2 ) 0.016 * [simplify]: Simplified to: (/ x (+ y x)) 0.016 * * [progress]: iteration 1 / 4 0.016 * * * [progress]: picking best candidate 0.017 * * * * [pick]: Picked # 0.017 * * * [progress]: localizing error 0.020 * * * [progress]: generating rewritten candidates 0.020 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.027 * * * [progress]: generating series expansions 0.027 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.027 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of (+ x y) in y 0.027 * [taylor]: Taking taylor expansion of x in y 0.027 * [taylor]: Taking taylor expansion of y in y 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of (+ x y) in x 0.027 * [taylor]: Taking taylor expansion of x in x 0.027 * [taylor]: Taking taylor expansion of y in x 0.027 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.027 * [taylor]: Taking taylor expansion of x 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 0.028 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.028 * [taylor]: Taking taylor expansion of y in y 0.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.029 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.029 * [taylor]: Taking taylor expansion of y in y 0.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.033 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.033 * [taylor]: Taking taylor expansion of y in y 0.039 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.039 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.039 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.039 * [taylor]: Taking taylor expansion of x in y 0.039 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.039 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.039 * [taylor]: Taking taylor expansion of y in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.040 * [taylor]: Taking taylor expansion of x in y 0.040 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.040 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.040 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.040 * [taylor]: Taking taylor expansion of y in x 0.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.040 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.042 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.052 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.052 * [taylor]: Taking taylor expansion of y in y 0.056 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.056 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.056 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.056 * [taylor]: Taking taylor expansion of x in y 0.056 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.056 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.056 * [taylor]: Taking taylor expansion of y in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.057 * [taylor]: Taking taylor expansion of x in y 0.057 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.057 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.057 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.057 * [taylor]: Taking taylor expansion of y in x 0.057 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.057 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.059 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.059 * [taylor]: Taking taylor expansion of y in x 0.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.059 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of 1 in y 0.062 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.062 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.062 * [taylor]: Taking taylor expansion of y in y 0.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.065 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.065 * [taylor]: Taking taylor expansion of y in y 0.069 * * * [progress]: simplifying candidates 0.070 * [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 0.074 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.077 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.083 * * [simplify]: iteration 2 : 1031 enodes (cost 144 ) 0.101 * * [simplify]: iteration 3 : 3646 enodes (cost 144 ) 0.148 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.149 * [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 0.150 * * * [progress]: adding candidates to table 0.189 * * [progress]: iteration 2 / 4 0.189 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.198 * * * [progress]: generating rewritten candidates 0.198 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.208 * * * * [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 (x y) around 0 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 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 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 (/ 1 y) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.228 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.228 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.229 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.230 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.232 * [taylor]: Taking taylor expansion of 1 in y 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y 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 0.241 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.241 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.241 * [taylor]: Taking taylor expansion of 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 (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.241 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.242 * [taylor]: Taking taylor expansion of y in x 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 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.243 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.245 * [taylor]: Taking taylor expansion of 1 in y 0.246 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.250 * [taylor]: Taking taylor expansion of y in y 0.254 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.254 * [approximate]: Taking taylor expansion of (/ 1 (+ x y)) in (y x) around 0 0.254 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in x 0.254 * [taylor]: Taking taylor expansion of (+ x y) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.254 * [taylor]: Taking taylor expansion of (+ x y) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (+ x y)) in y 0.254 * [taylor]: Taking taylor expansion of (+ x y) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.255 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.255 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.255 * [taylor]: Taking taylor expansion of x in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.265 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 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 0.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 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 0.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 y) (/ 1 x))) in y 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.267 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of 1 in x 0.268 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.277 * [approximate]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in (y x) around 0 0.278 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in x 0.278 * [taylor]: Taking taylor expansion of -1 in x 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.278 * [taylor]: Taking taylor expansion of y in x 0.278 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.278 * [taylor]: Taking taylor expansion of x in x 0.278 * [taylor]: Taking taylor expansion of (/ -1 (+ (/ 1 y) (/ 1 x))) in y 0.278 * [taylor]: Taking taylor expansion of -1 in y 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.278 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.278 * [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 (+ (/ 1 y) (/ 1 x))) in y 0.279 * [taylor]: Taking taylor expansion of -1 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 0.280 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.280 * [taylor]: Taking taylor expansion of x in y 0.280 * [taylor]: Taking taylor expansion of -1 in x 0.281 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.281 * [taylor]: Taking taylor expansion of x in x 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.287 * * * [progress]: simplifying candidates 0.288 * [simplify]: Simplifying using # : (* x (/ 1 (+ y x))) (+ (log x) (- (log (+ y x)))) (+ (log x) (- 0 (log (+ y x)))) (+ (log x) (- (log 1) (log (+ y x)))) (+ (log x) (log (/ 1 (+ y x)))) (log (* x (/ 1 (+ y x)))) (exp (* x (/ 1 (+ y x)))) (* (* (* x x) x) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x)))) (* (* (* x x) x) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x)))) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (* (* (* x (/ 1 (+ y x))) (* x (/ 1 (+ y x)))) (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ (sqrt 1) (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* (sqrt x) (/ 1 (sqrt (+ y x)))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x)))) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (* (cbrt 1) (cbrt 1)) 1)) (* x (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ (sqrt 1) (sqrt (+ y x)))) (* x (/ (sqrt 1) 1)) (* x (/ (sqrt 1) 1)) (* x (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x))))) (* x (/ 1 (sqrt (+ y x)))) (* x (/ 1 1)) (* x (/ 1 1)) (* x 1) (* x 1) (* x (/ 1 (+ (pow y 3) (pow x 3)))) (* x (/ 1 (- (* y y) (* x x)))) (* (cbrt x) (/ 1 (+ y x))) (* (sqrt x) (/ 1 (+ y x))) (* x (/ 1 (+ y x))) (* x 1) (- 1) (- (log (+ y x))) (- 0 (log (+ y x))) (- (log 1) (log (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ (* (* 1 1) 1) (* (* (+ y x) (+ y x)) (+ y x))) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (* (* (/ 1 (+ y x)) (/ 1 (+ y x))) (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (cbrt 1) (cbrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (+ y x))) (/ (cbrt 1) (sqrt (+ y x))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (+ y x)) (/ (sqrt 1) (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ (sqrt 1) (cbrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) (sqrt (+ y x))) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ (sqrt 1) 1) (/ (sqrt 1) (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 (+ y x)) (/ 1 1) (/ 1 (+ y x)) (/ 1 (+ y x)) (/ (+ y x) 1) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) (/ 1 1) (/ 1 1) (/ (+ y x) (cbrt 1)) (/ (+ y x) (sqrt 1)) (/ (+ y x) 1) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.293 * * [simplify]: iteration 0 : 226 enodes (cost 346 ) 0.298 * * [simplify]: iteration 1 : 996 enodes (cost 296 ) 0.315 * * [simplify]: iteration 2 : 3449 enodes (cost 258 ) 0.345 * * [simplify]: iteration 3 : 5001 enodes (cost 258 ) 0.347 * [simplify]: Simplified to: (/ x (+ y x)) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (- (log x) (log (+ y x))) (exp (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (pow (/ x (+ y x)) 3) (* (cbrt (* x (/ 1 (+ y x)))) (cbrt (* x (/ 1 (+ y x))))) (cbrt (* x (/ 1 (+ y x)))) (pow (/ x (+ y x)) 3) (sqrt (* x (/ 1 (+ y x)))) (sqrt (* x (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (* (sqrt x) (sqrt (/ 1 (+ y x)))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (/ (sqrt x) (sqrt (+ y x))) (* x (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x))))) (* x (sqrt (/ 1 (+ y x)))) (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x (/ x (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ x (sqrt (+ y x))) x x x x (/ x (+ (pow y 3) (pow x 3))) (/ x (- (* y y) (* x x))) (/ (cbrt x) (+ y x)) (/ (sqrt x) (+ y x)) (/ x (+ y x)) x (- 1) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (log (/ 1 (+ y x))) (exp (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (* (cbrt (/ 1 (+ y x))) (cbrt (/ 1 (+ y x)))) (cbrt (/ 1 (+ y x))) (/ 1 (pow (+ y x) 3)) (sqrt (/ 1 (+ y x))) (sqrt (/ 1 (+ y x))) (- 1) (- (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (cbrt (+ y x))) (/ 1 (sqrt (+ y x))) (/ 1 (sqrt (+ y x))) 1 (/ 1 (+ y x)) 1 (/ 1 (+ y x)) (/ 1 (+ y x)) (+ y x) (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) (/ 1 (sqrt (+ y x))) 1 1 (+ y x) (+ y x) (+ y x) (/ 1 (+ (pow y 3) (pow x 3))) (/ 1 (- (* y y) (* x x))) 0 0 0 0 0 0 0.347 * * * [progress]: adding candidates to table 0.417 * * [progress]: iteration 3 / 4 0.417 * * * [progress]: picking best candidate 0.419 * * * * [pick]: Picked # 0.419 * * * [progress]: localizing error 0.425 * * * [progress]: generating rewritten candidates 0.425 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.432 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.439 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.450 * * * [progress]: generating series expansions 0.450 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.450 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.450 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of (+ x y) in y 0.450 * [taylor]: Taking taylor expansion of x in y 0.450 * [taylor]: Taking taylor expansion of y in y 0.450 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of (+ x y) in x 0.450 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of (+ x y) in x 0.451 * [taylor]: Taking taylor expansion of x in x 0.451 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.451 * [taylor]: Taking taylor expansion of y in y 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.455 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.455 * [taylor]: Taking taylor expansion of y in y 0.462 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.462 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.463 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.463 * [taylor]: Taking taylor expansion of y in x 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.463 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.464 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.464 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.464 * [taylor]: Taking taylor expansion of y in x 0.464 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.464 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of 1 in y 0.471 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.471 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.471 * [taylor]: Taking taylor expansion of y in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.478 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.478 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.478 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.478 * [taylor]: Taking taylor expansion of x in y 0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.479 * [taylor]: Taking taylor expansion of x in y 0.479 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.479 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.481 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.481 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.481 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of 1 in y 0.484 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.484 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.484 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.491 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.491 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 0.491 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 0.491 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of (+ x y) in y 0.491 * [taylor]: Taking taylor expansion of x in y 0.491 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.492 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.492 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of (+ x y) in x 0.492 * [taylor]: Taking taylor expansion of x in x 0.492 * [taylor]: Taking taylor expansion of y in x 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 0.498 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 0.498 * [taylor]: Taking taylor expansion of 3 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 0.508 * [taylor]: Taking taylor expansion of 6 in y 0.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.508 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.508 * [taylor]: Taking taylor expansion of y in y 0.524 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.524 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.524 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.524 * [taylor]: Taking taylor expansion of x in y 0.524 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.525 * [taylor]: Taking taylor expansion of x in y 0.525 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.525 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.525 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.525 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.525 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.527 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.527 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.527 * [taylor]: Taking taylor expansion of y in x 0.527 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.527 * [taylor]: Taking taylor expansion of x in x 0.529 * [taylor]: Taking taylor expansion of 1 in y 0.531 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.531 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.531 * [taylor]: Taking taylor expansion of 3 in y 0.531 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.531 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.536 * [taylor]: Taking taylor expansion of 6 in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.543 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.544 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.547 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.547 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.547 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.547 * [taylor]: Taking taylor expansion of y in x 0.547 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.547 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.548 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.549 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of 1 in y 0.552 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.552 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.552 * [taylor]: Taking taylor expansion of 3 in y 0.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.552 * [taylor]: Taking taylor expansion of y in y 0.558 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.558 * [taylor]: Taking taylor expansion of 6 in y 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.558 * [taylor]: Taking taylor expansion of y in y 0.565 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.565 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.565 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of (+ x y) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.565 * [taylor]: Taking taylor expansion of y in y 0.565 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of (+ x y) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of (+ x y) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [taylor]: Taking taylor expansion of y in x 0.566 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.567 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.567 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.576 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.577 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.577 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.577 * [taylor]: Taking taylor expansion of x in y 0.577 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.577 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.579 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.579 * [taylor]: Taking taylor expansion of y in x 0.579 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.579 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of 1 in y 0.582 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.582 * [taylor]: Taking taylor expansion of y in y 0.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.585 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.585 * [taylor]: Taking taylor expansion of y in y 0.589 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.589 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.589 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.589 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.590 * [taylor]: Taking taylor expansion of x in y 0.590 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.590 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.590 * [taylor]: Taking taylor expansion of y in x 0.590 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.590 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.592 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.592 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of 1 in y 0.595 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.595 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.595 * [taylor]: Taking taylor expansion of y in y 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.598 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.598 * [taylor]: Taking taylor expansion of y in y 0.602 * * * [progress]: simplifying candidates 0.604 * [simplify]: Simplifying using # : (log (cbrt (pow (/ x (+ y x)) 3))) (exp (cbrt (pow (/ x (+ y x)) 3))) (cbrt (pow (* (cbrt (/ x (+ y x))) (cbrt (/ x (+ y x)))) 3)) (cbrt (pow (cbrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (sqrt (/ x (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (cbrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) (sqrt (+ y x))) 3)) (cbrt (pow (/ (cbrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (* (cbrt x) (cbrt x)) 1) 3)) (cbrt (pow (/ (cbrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ (sqrt x) (cbrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) (sqrt (+ y x))) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ (sqrt x) 1) 3)) (cbrt (pow (/ (sqrt x) (+ y x)) 3)) (cbrt (pow (/ 1 (* (cbrt (+ y x)) (cbrt (+ y x)))) 3)) (cbrt (pow (/ x (cbrt (+ 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(+ y x)) 3) (pow (/ 1 1) 3) (pow (/ x (+ y x)) 3) (pow 1 3) (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* y y) (- (* x x) (* y x))) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow x 3) (pow (+ y x) 3) (* (/ x (+ y x)) (/ x (+ y x))) (sqrt (pow (/ x (+ y x)) 3)) (sqrt (pow (/ x (+ y x)) 3)) (pow (/ x (+ y x)) (/ 3 2)) (pow (/ x (+ y x)) (/ 3 2)) (- (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 0 0 0 0 0 0.611 * * [simplify]: iteration 0 : 387 enodes (cost 804 ) 0.619 * * [simplify]: iteration 1 : 1770 enodes (cost 727 ) 0.648 * * [simplify]: iteration 2 : 5001 enodes (cost 717 ) 0.654 * [simplify]: Simplified to: (log (/ x (+ y x))) (exp (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (/ (* (cbrt x) (cbrt x)) (sqrt (+ y 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(+ y x)) (/ 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 (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ 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 0 0 0 0 0 0.655 * * * [progress]: adding candidates to table 0.799 * [progress]: [Phase 3 of 3] Extracting. 0.799 * * [regime]: Finding splitpoints for: (# # #) 0.799 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 0.799 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# # #) 0.810 * * * * [regimes]: Trying to branch on y from (# # #) 0.822 * * * * [regimes]: Trying to branch on x from (# # #) 0.838 * * * [regime]: Found split indices: #