7.132 * [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)) 0.016 * * [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 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of y in x 0.028 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [taylor]: Taking taylor expansion of (+ x y) in x 0.028 * [taylor]: Taking taylor expansion of x in x 0.028 * [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 0.033 * [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 0.041 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.041 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.042 * [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 0.043 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.043 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.044 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.044 * [taylor]: Taking taylor expansion of y in x 0.044 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.044 * [taylor]: Taking taylor expansion of x in x 0.045 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.050 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.054 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.054 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.054 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.054 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.055 * [taylor]: Taking taylor expansion of x in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.055 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.055 * [taylor]: Taking taylor expansion of x in x 0.055 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.055 * [taylor]: Taking taylor expansion of y in x 0.055 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.055 * [taylor]: Taking taylor expansion of x in x 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 in y 0.060 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.060 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.060 * [taylor]: Taking taylor expansion of y in y 0.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.064 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.064 * [taylor]: Taking taylor expansion of y in y 0.069 * * * [progress]: simplifying candidates 0.069 * [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 0.073 * * [simplify]: iteration 0 : 118 enodes (cost 153 ) 0.076 * * [simplify]: iteration 1 : 378 enodes (cost 144 ) 0.082 * * [simplify]: iteration 2 : 1031 enodes (cost 144 ) 0.100 * * [simplify]: iteration 3 : 3646 enodes (cost 144 ) 0.149 * * [simplify]: iteration 4 : 5001 enodes (cost 144 ) 0.150 * [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 0.207 * * [progress]: iteration 2 / 4 0.207 * * * [progress]: picking best candidate 0.209 * * * * [pick]: Picked # 0.209 * * * [progress]: localizing error 0.215 * * * [progress]: generating rewritten candidates 0.215 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.223 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.230 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.241 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.241 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of (+ x y) in y 0.241 * [taylor]: Taking taylor expansion of x in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.241 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of (+ x y) in x 0.241 * [taylor]: Taking taylor expansion of x in x 0.241 * [taylor]: Taking taylor expansion of y in x 0.241 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.241 * [taylor]: Taking taylor expansion of y in y 0.243 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.243 * [taylor]: Taking taylor expansion of y in y 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.246 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.253 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.253 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.253 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.253 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.254 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.254 * [taylor]: Taking taylor expansion of x in y 0.254 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.254 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.254 * [taylor]: Taking taylor expansion of y in x 0.254 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.254 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.256 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.256 * [taylor]: Taking taylor expansion of y in x 0.256 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.256 * [taylor]: Taking taylor expansion of x in x 0.258 * [taylor]: Taking taylor expansion of 1 in y 0.259 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.260 * [taylor]: Taking taylor expansion of y in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.268 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.268 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.268 * [taylor]: Taking taylor expansion of y in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.268 * [taylor]: Taking taylor expansion of x in y 0.268 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.268 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.268 * [taylor]: Taking taylor expansion of y in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.270 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of 1 in y 0.274 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.274 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.274 * [taylor]: Taking taylor expansion of y in y 0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.277 * [taylor]: Taking taylor expansion of y in y 0.287 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.287 * [approximate]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in (x y) around 0 0.287 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in y 0.287 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of (+ x y) in y 0.287 * [taylor]: Taking taylor expansion of x in y 0.287 * [taylor]: Taking taylor expansion of y in y 0.287 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.287 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of (+ x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (pow (/ x (+ x y)) 3) in x 0.288 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of (+ x y) in x 0.288 * [taylor]: Taking taylor expansion of x in x 0.288 * [taylor]: Taking taylor expansion of y in x 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.288 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.288 * [taylor]: Taking taylor expansion of y in y 0.295 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 4)))) in y 0.295 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 4))) in y 0.295 * [taylor]: Taking taylor expansion of 3 in y 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.295 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.306 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 5))) in y 0.306 * [taylor]: Taking taylor expansion of 6 in y 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y 0.306 * [taylor]: Taking taylor expansion of (pow y 5) in y 0.306 * [taylor]: Taking taylor expansion of y in y 0.323 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.323 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.324 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.324 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.326 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.326 * [taylor]: Taking taylor expansion of y in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.328 * [taylor]: Taking taylor expansion of 1 in y 0.330 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.330 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.330 * [taylor]: Taking taylor expansion of 3 in y 0.330 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.330 * [taylor]: Taking taylor expansion of y in y 0.336 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.336 * [taylor]: Taking taylor expansion of 6 in y 0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.336 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.336 * [taylor]: Taking taylor expansion of y in y 0.344 * [approximate]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in (x y) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.344 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.344 * [taylor]: Taking taylor expansion of y in y 0.344 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.344 * [taylor]: Taking taylor expansion of x in y 0.345 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.345 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (pow (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) 3) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.347 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.347 * [taylor]: Taking taylor expansion of y in x 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.347 * [taylor]: Taking taylor expansion of x in x 0.349 * [taylor]: Taking taylor expansion of 1 in y 0.351 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 y))) in y 0.351 * [taylor]: Taking taylor expansion of (* 3 (/ 1 y)) in y 0.351 * [taylor]: Taking taylor expansion of 3 in y 0.351 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.351 * [taylor]: Taking taylor expansion of y in y 0.356 * [taylor]: Taking taylor expansion of (* 6 (/ 1 (pow y 2))) in y 0.357 * [taylor]: Taking taylor expansion of 6 in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.357 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.364 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.365 * [approximate]: Taking taylor expansion of (/ x (+ x y)) in (x y) around 0 0.365 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of (+ x y) in y 0.365 * [taylor]: Taking taylor expansion of x in y 0.365 * [taylor]: Taking taylor expansion of y in y 0.365 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (+ x y) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ x (+ x y)) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of (+ x y) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.365 * [taylor]: Taking taylor expansion of y in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.372 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.375 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.382 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.382 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.383 * [taylor]: Taking taylor expansion of x in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.383 * [taylor]: Taking taylor expansion of y in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.385 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.385 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.388 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.392 * [taylor]: Taking taylor expansion of y in y 0.396 * [approximate]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.396 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in y 0.396 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in y 0.396 * [taylor]: Taking taylor expansion of x in y 0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.396 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.396 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.397 * [taylor]: Taking taylor expansion of x in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.397 * [taylor]: Taking taylor expansion of y in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 (* x (+ (/ 1 y) (/ 1 x)))) in x 0.399 * [taylor]: Taking taylor expansion of (* x (+ (/ 1 y) (/ 1 x))) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.399 * [taylor]: Taking taylor expansion of y in x 0.399 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.401 * [taylor]: Taking taylor expansion of 1 in y 0.402 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.402 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.406 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.406 * [taylor]: Taking taylor expansion of y in y 0.410 * * * [progress]: simplifying candidates 0.412 * [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)) 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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 0.419 * * [simplify]: iteration 0 : 387 enodes (cost 800 ) 0.427 * * [simplify]: iteration 1 : 1770 enodes (cost 725 ) 0.458 * * [simplify]: iteration 2 : 5002 enodes (cost 717 ) 0.462 * [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 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 (/ x (+ y x)) x (/ 1 (+ y x)) (/ x (+ (pow y 3) (pow x 3))) (+ (* x (- x y)) (* y y)) (/ x (- (* y y) (* x x))) (- y x) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ x (+ y x))) (cbrt (* (/ x (+ y x)) (/ x (+ y x)))) (cbrt (/ 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 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 (/ x (+ y x)) x (/ 1 (+ y x)) (/ x (+ (pow y 3) (pow x 3))) (+ (* x (- x y)) (* y y)) (/ x (- (* y y) (* 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x))) (/ (pow x 3) (+ y x)) (pow (/ 1 (sqrt (+ y x))) 3) (pow (/ x (sqrt (+ y x))) 3) 1 (pow (/ x (+ y x)) 3) 1 (pow (/ x (+ y x)) 3) 1 (pow (/ x (+ y x)) 3) (pow x 3) (pow (/ 1 (+ y x)) 3) (pow (/ x (+ (pow y 3) (pow x 3))) 3) (pow (+ (* x (- x y)) (* y y)) 3) (pow (/ x (- (* y y) (* x x))) 3) (pow (- y x) 3) (pow x 3) (pow (+ y x) 3) (pow (/ x (+ y x)) 2) (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 (+ y x))) (log (/ x (+ y x))) (exp (/ x (+ y x))) (pow (/ x (+ y x)) 3) (cbrt (* (/ x (+ 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 0.463 * * * [progress]: adding candidates to table 0.650 * [progress]: [Phase 3 of 3] Extracting. 0.650 * * [regime]: Finding splitpoints for: (# #) 0.650 * * * [regime-changes]: Trying 3 branch expressions: ((/ x (+ y x)) y x) 0.650 * * * * [regimes]: Trying to branch on (/ x (+ y x)) from (# #) 0.660 * * * * [regimes]: Trying to branch on y from (# #) 0.671 * * * * [regimes]: Trying to branch on x from (# #) 0.684 * * * [regime]: Found split indices: #