16.635 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.012 * * * [progress]: [2/2] Setting up program. 0.014 * [progress]: [Phase 2 of 3] Improving. 0.014 * [simplify]: Simplifying using # : (/ (* (* x 2.0) y) (- x y)) 0.015 * * [simplify]: iteration 0 : 7 enodes (cost 9 ) 0.016 * * [simplify]: iteration 1 : 15 enodes (cost 9 ) 0.018 * * [simplify]: iteration 2 : 35 enodes (cost 9 ) 0.023 * * [simplify]: iteration 3 : 70 enodes (cost 9 ) 0.033 * * [simplify]: iteration 4 : 120 enodes (cost 9 ) 0.051 * * [simplify]: iteration 5 : 150 enodes (cost 9 ) 0.070 * * [simplify]: iteration 6 : 168 enodes (cost 9 ) 0.091 * * [simplify]: iteration 7 : 171 enodes (cost 9 ) 0.113 * * [simplify]: iteration done : 171 enodes (cost 9 ) 0.113 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.114 * * [progress]: iteration 1 / 4 0.114 * * * [progress]: picking best candidate 0.115 * * * * [pick]: Picked # 0.115 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.133 * * * [progress]: generating series expansions 0.133 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.133 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.133 * [taylor]: Taking taylor expansion of 2.0 in y 0.133 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.133 * [taylor]: Taking taylor expansion of (* x y) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (- x y) in y 0.134 * [taylor]: Taking taylor expansion of x in y 0.134 * [taylor]: Taking taylor expansion of y in y 0.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.134 * [taylor]: Taking taylor expansion of 2.0 in x 0.134 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.134 * [taylor]: Taking taylor expansion of (* x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of (- x y) in x 0.134 * [taylor]: Taking taylor expansion of x in x 0.134 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.135 * [taylor]: Taking taylor expansion of 2.0 in x 0.135 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.135 * [taylor]: Taking taylor expansion of (* x y) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.135 * [taylor]: Taking taylor expansion of (- x y) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of -2.0 in y 0.137 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.137 * [taylor]: Taking taylor expansion of 2.0 in y 0.137 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.137 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of 2.0 in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.146 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.146 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.146 * [taylor]: Taking taylor expansion of 2.0 in y 0.146 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.146 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.146 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.147 * [taylor]: Taking taylor expansion of (* x y) in y 0.147 * [taylor]: Taking taylor expansion of x in y 0.147 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.149 * [taylor]: Taking taylor expansion of 2.0 in x 0.149 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.149 * [taylor]: Taking taylor expansion of (* x y) in x 0.149 * [taylor]: Taking taylor expansion of x in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.150 * [taylor]: Taking taylor expansion of 2.0 in x 0.151 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (* x y) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.152 * [taylor]: Taking taylor expansion of 2.0 in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.155 * [taylor]: Taking taylor expansion of 2.0 in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.162 * [taylor]: Taking taylor expansion of 2.0 in y 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.162 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.162 * [taylor]: Taking taylor expansion of y in y 0.172 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.172 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.172 * [taylor]: Taking taylor expansion of 2.0 in y 0.172 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.172 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.172 * [taylor]: Taking taylor expansion of y in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.173 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.174 * [taylor]: Taking taylor expansion of 2.0 in x 0.174 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.176 * [taylor]: Taking taylor expansion of 2.0 in x 0.176 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.179 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.179 * [taylor]: Taking taylor expansion of -2.0 in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.182 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of 2.0 in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.188 * [taylor]: Taking taylor expansion of 2.0 in y 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.196 * * * [progress]: simplifying candidates 0.197 * [simplify]: Simplifying using # : (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (- (+ (+ (log x) (log 2.0)) (log y)) (log (- x y))) (- (+ (log (* x 2.0)) (log y)) (log (- x y))) (- (log (* (* x 2.0) y)) (log (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (/ (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* y y) y)) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* y y) y)) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x 2.0) y)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (* (* (/ (* (* x 2.0) y) (- x y)) (/ (* (* x 2.0) y) (- x y))) (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (/ (* (* x 2.0) y) 1) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (/ (* (* x 2.0) y) 1) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.199 * * [simplify]: iteration 0 : 79 enodes (cost 420 ) 0.214 * * [simplify]: iteration 1 : 215 enodes (cost 400 ) 0.267 * * [simplify]: iteration 2 : 983 enodes (cost 334 ) 0.744 * * [simplify]: iteration done : 5000 enodes (cost 334 ) 0.744 * [simplify]: Simplified to: (expm1 (/ (* (* x 2.0) y) (- x y))) (log1p (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (log (/ (* (* x 2.0) y) (- x y))) (exp (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (pow (/ (* (* x 2.0) y) (- x y)) 3) (* (cbrt (/ (* (* x 2.0) y) (- x y))) (cbrt (/ (* (* x 2.0) y) (- x y)))) (cbrt (/ (* (* x 2.0) y) (- x y))) (pow (/ (* (* x 2.0) y) (- x y)) 3) (sqrt (/ (* (* x 2.0) y) (- x y))) (sqrt (/ (* (* x 2.0) y) (- x y))) (- (* (* x 2.0) y)) (- (- x y)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ (* x 2.0) (sqrt (- x y))) (/ y (sqrt (- x y))) (* x 2.0) (/ y (- x y)) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (* x 2.0) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) (* (* x 2.0) y)) (/ (* (* x 2.0) y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* (* x 2.0) y) (sqrt (- x y))) (* (* x 2.0) y) (/ (* (* x 2.0) y) (+ (sqrt x) (sqrt y))) (* (* x 2.0) y) (/ (- x y) y) (/ (* (* x 2.0) y) (- (pow x 3) (pow y 3))) (/ (* (* x 2.0) y) (- (* x x) (* y y))) 0 0 0 0.744 * * * [progress]: adding candidates to table 0.801 * * [progress]: iteration 2 / 4 0.801 * * * [progress]: picking best candidate 0.809 * * * * [pick]: Picked # 0.809 * * * [progress]: localizing error 0.815 * * * [progress]: generating rewritten candidates 0.815 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.833 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.842 * * * [progress]: generating series expansions 0.842 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.842 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.842 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.842 * [taylor]: Taking taylor expansion of 2.0 in y 0.842 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.842 * [taylor]: Taking taylor expansion of (* x y) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of (- x y) in y 0.842 * [taylor]: Taking taylor expansion of x in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.843 * [taylor]: Taking taylor expansion of 2.0 in x 0.843 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.843 * [taylor]: Taking taylor expansion of (* x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (- x y) in x 0.843 * [taylor]: Taking taylor expansion of x in x 0.843 * [taylor]: Taking taylor expansion of y in x 0.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.844 * [taylor]: Taking taylor expansion of 2.0 in x 0.844 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.844 * [taylor]: Taking taylor expansion of (* x y) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of (- x y) in x 0.844 * [taylor]: Taking taylor expansion of x in x 0.844 * [taylor]: Taking taylor expansion of y in x 0.844 * [taylor]: Taking taylor expansion of -2.0 in y 0.846 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.846 * [taylor]: Taking taylor expansion of 2.0 in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.850 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.850 * [taylor]: Taking taylor expansion of 2.0 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.855 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.855 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.855 * [taylor]: Taking taylor expansion of 2.0 in y 0.855 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.856 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.856 * [taylor]: Taking taylor expansion of (* x y) in y 0.856 * [taylor]: Taking taylor expansion of x in y 0.856 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.858 * [taylor]: Taking taylor expansion of 2.0 in x 0.858 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.858 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [taylor]: Taking taylor expansion of (* x y) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.860 * [taylor]: Taking taylor expansion of 2.0 in x 0.860 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.860 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of (* x y) in x 0.860 * [taylor]: Taking taylor expansion of x in x 0.860 * [taylor]: Taking taylor expansion of y in x 0.861 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.861 * [taylor]: Taking taylor expansion of 2.0 in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.865 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.865 * [taylor]: Taking taylor expansion of 2.0 in y 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.865 * [taylor]: Taking taylor expansion of y in y 0.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.871 * [taylor]: Taking taylor expansion of 2.0 in y 0.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.871 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.871 * [taylor]: Taking taylor expansion of y in y 0.879 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.879 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.879 * [taylor]: Taking taylor expansion of 2.0 in y 0.879 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.879 * [taylor]: Taking taylor expansion of x in y 0.879 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.880 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.881 * [taylor]: Taking taylor expansion of 2.0 in x 0.881 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.883 * [taylor]: Taking taylor expansion of 2.0 in x 0.883 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.888 * [taylor]: Taking taylor expansion of -2.0 in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.891 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.891 * [taylor]: Taking taylor expansion of 2.0 in y 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.891 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.891 * [taylor]: Taking taylor expansion of y in y 0.898 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.898 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.898 * [taylor]: Taking taylor expansion of 2.0 in y 0.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.898 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.898 * [taylor]: Taking taylor expansion of y in y 0.906 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.906 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.906 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (- x y) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (- x y) in y 0.906 * [taylor]: Taking taylor expansion of x in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.906 * [taylor]: Taking taylor expansion of y in y 0.906 * [taylor]: Taking taylor expansion of (- x y) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.908 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.912 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.912 * [taylor]: Taking taylor expansion of x in x 0.918 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.918 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.918 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.918 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.918 * [taylor]: Taking taylor expansion of y in x 0.919 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.919 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.919 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.919 * [taylor]: Taking taylor expansion of x in y 0.919 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of y in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.921 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.921 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.921 * [taylor]: Taking taylor expansion of x in y 0.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.921 * [taylor]: Taking taylor expansion of y in y 0.922 * [taylor]: Taking taylor expansion of y in y 0.924 * [taylor]: Taking taylor expansion of -1 in x 0.926 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.926 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.926 * [taylor]: Taking taylor expansion of x in x 0.930 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.934 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.934 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.934 * [taylor]: Taking taylor expansion of -1 in x 0.934 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.934 * [taylor]: Taking taylor expansion of y in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.935 * [taylor]: Taking taylor expansion of -1 in y 0.935 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.935 * [taylor]: Taking taylor expansion of y in y 0.936 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.936 * [taylor]: Taking taylor expansion of x in y 0.937 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.937 * [taylor]: Taking taylor expansion of -1 in y 0.937 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.937 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.938 * [taylor]: Taking taylor expansion of x in y 0.939 * [taylor]: Taking taylor expansion of -1 in x 0.942 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.942 * [taylor]: Taking taylor expansion of x in x 0.946 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.946 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.946 * [taylor]: Taking taylor expansion of x in x 0.950 * * * [progress]: simplifying candidates 0.951 * [simplify]: Simplifying using # : (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (+ (+ (log x) (log 2.0)) (- (log y) (log (- x y)))) (+ (+ (log x) (log 2.0)) (log (/ y (- x y)))) (+ (log (* x 2.0)) (- (log y) (log (- x y)))) (+ (log (* x 2.0)) (log (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y)))) (* (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y)))) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (* (* (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) 1)) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ (sqrt y) 1)) (* (* x 2.0) (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ 1 (sqrt (- x y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) (/ 1 (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (/ 1 1)) (* (* x 2.0) 1) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (- (log y) (log (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (/ (* (* y y) y) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (* (* (/ y (- x y)) (/ y (- x y))) (/ y (- x y))) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y))) (/ (cbrt y) (- (sqrt x) (sqrt y))) (/ (* (cbrt y) (cbrt y)) 1) (/ (cbrt y) (- x y)) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (/ (sqrt y) 1) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) (/ 1 1) (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) (/ 1 1) (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) (/ y 1) (/ y (+ (sqrt x) (sqrt y))) (/ y 1) (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 0.955 * * [simplify]: iteration 0 : 120 enodes (cost 947 ) 0.982 * * [simplify]: iteration 1 : 316 enodes (cost 888 ) 1.122 * * [simplify]: iteration 2 : 1348 enodes (cost 788 ) 1.653 * * [simplify]: iteration done : 5000 enodes (cost 788 ) 1.654 * [simplify]: Simplified to: (expm1 (* (* x 2.0) (/ y (- x y)))) (log1p (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (/ y (- x y))) (* (* x 2.0) (/ y (- x y))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (log (* (* x 2.0) (/ y (- x y)))) (exp (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (pow (* (* x 2.0) (/ y (- x y))) 3) (* (cbrt (* (* x 2.0) (/ y (- x y)))) (cbrt (* (* x 2.0) (/ y (- x y))))) (cbrt (* (* x 2.0) (/ y (- x y)))) (pow (* (* x 2.0) (/ y (- x y))) 3) (sqrt (* (* x 2.0) (/ y (- x y)))) (sqrt (* (* x 2.0) (/ y (- x y)))) (* (* x 2.0) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y))))) (* (* x 2.0) (sqrt (/ y (- x y)))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y)))) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (/ (sqrt y) (* (cbrt (- x y)) (cbrt (- x y))))) (* (* x 2.0) (/ (sqrt y) (sqrt (- x y)))) (* (sqrt y) (* x 2.0)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (sqrt y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (* x 2.0) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* x 2.0) (* x 2.0) (* (* x 2.0) y) (* (* x 2.0) (/ y (- (pow x 3) (pow y 3)))) (* (* x 2.0) (/ y (- (* x x) (* y y)))) (* 2.0 (/ y (- x y))) (* (* x 2.0) y) (expm1 (/ y (- x y))) (log1p (/ y (- x y))) (log (/ y (- x y))) (log (/ y (- x y))) (exp (/ y (- x y))) (pow (/ y (- x y)) 3) (* (cbrt (/ y (- x y))) (cbrt (/ y (- x y)))) (cbrt (/ y (- x y))) (pow (/ y (- x y)) 3) (sqrt (/ y (- x y))) (sqrt (/ y (- x y))) (- y) (- (- x y)) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt y) (cbrt (- x y))) (/ (* (cbrt y) (cbrt y)) (sqrt (- x y))) (/ (cbrt y) (sqrt (- x y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (* (/ (cbrt y) (+ (sqrt x) (sqrt y))) (cbrt y)) (/ (cbrt y) (- (sqrt x) (sqrt y))) (* (cbrt y) (cbrt y)) (/ (cbrt y) (- x y)) (/ (/ (sqrt y) (cbrt (- x y))) (cbrt (- x y))) (/ (sqrt y) (cbrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (/ (sqrt y) (sqrt (- x y))) (sqrt y) (/ (sqrt y) (- x y)) (/ (sqrt y) (+ (sqrt x) (sqrt y))) (/ (sqrt y) (- (sqrt x) (sqrt y))) (sqrt y) (/ (sqrt y) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ y (sqrt (- x y))) 1 (/ y (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ y (- (sqrt x) (sqrt y))) 1 (/ y (- x y)) (/ 1 (- x y)) (/ (- x y) y) (/ y (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (sqrt (- x y))) y (/ y (+ (sqrt x) (sqrt y))) y (/ (- x y) (cbrt y)) (/ (- x y) (sqrt y)) (/ (- x y) y) (/ y (- (pow x 3) (pow y 3))) (/ y (- (* x x) (* y y))) 0 0 0 0 0 0 1.655 * * * [progress]: adding candidates to table 1.792 * * [progress]: iteration 3 / 4 1.792 * * * [progress]: picking best candidate 1.796 * * * * [pick]: Picked # 1.796 * * * [progress]: localizing error 1.805 * * * [progress]: generating rewritten candidates 1.805 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.815 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.829 * * * [progress]: generating series expansions 1.829 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.829 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 1.829 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 1.829 * [taylor]: Taking taylor expansion of 2.0 in y 1.829 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 1.829 * [taylor]: Taking taylor expansion of (* x y) in y 1.829 * [taylor]: Taking taylor expansion of x in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.829 * [taylor]: Taking taylor expansion of (- x y) in y 1.829 * [taylor]: Taking taylor expansion of x in y 1.829 * [taylor]: Taking taylor expansion of y in y 1.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 1.830 * [taylor]: Taking taylor expansion of 2.0 in x 1.830 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 1.830 * [taylor]: Taking taylor expansion of (* x y) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.830 * [taylor]: Taking taylor expansion of (- x y) in x 1.830 * [taylor]: Taking taylor expansion of x in x 1.830 * [taylor]: Taking taylor expansion of y in x 1.831 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 1.831 * [taylor]: Taking taylor expansion of 2.0 in x 1.831 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 1.831 * [taylor]: Taking taylor expansion of (* x y) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of y in x 1.831 * [taylor]: Taking taylor expansion of (- x y) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [taylor]: Taking taylor expansion of y in x 1.831 * [taylor]: Taking taylor expansion of -2.0 in y 1.833 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.833 * [taylor]: Taking taylor expansion of 2.0 in y 1.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.833 * [taylor]: Taking taylor expansion of y in y 1.837 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.837 * [taylor]: Taking taylor expansion of 2.0 in y 1.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.837 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.837 * [taylor]: Taking taylor expansion of y in y 1.842 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 1.842 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 1.842 * [taylor]: Taking taylor expansion of 2.0 in y 1.842 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 1.842 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.842 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.842 * [taylor]: Taking taylor expansion of x in y 1.842 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.842 * [taylor]: Taking taylor expansion of y in y 1.843 * [taylor]: Taking taylor expansion of (* x y) in y 1.843 * [taylor]: Taking taylor expansion of x in y 1.843 * [taylor]: Taking taylor expansion of y in y 1.844 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.844 * [taylor]: Taking taylor expansion of 2.0 in x 1.844 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.844 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.844 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.844 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.845 * [taylor]: Taking taylor expansion of (* x y) in x 1.845 * [taylor]: Taking taylor expansion of x in x 1.845 * [taylor]: Taking taylor expansion of y in x 1.846 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.846 * [taylor]: Taking taylor expansion of 2.0 in x 1.846 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.846 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.846 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.846 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.847 * [taylor]: Taking taylor expansion of y in x 1.847 * [taylor]: Taking taylor expansion of (* x y) in x 1.847 * [taylor]: Taking taylor expansion of x in x 1.847 * [taylor]: Taking taylor expansion of y in x 1.848 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 1.848 * [taylor]: Taking taylor expansion of 2.0 in y 1.848 * [taylor]: Taking taylor expansion of y in y 1.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.851 * [taylor]: Taking taylor expansion of 2.0 in y 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.851 * [taylor]: Taking taylor expansion of y in y 1.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.858 * [taylor]: Taking taylor expansion of 2.0 in y 1.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.858 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.858 * [taylor]: Taking taylor expansion of y in y 1.866 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.866 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 1.866 * [taylor]: Taking taylor expansion of 2.0 in y 1.866 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 1.866 * [taylor]: Taking taylor expansion of x in y 1.866 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.867 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.867 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.867 * [taylor]: Taking taylor expansion of x in y 1.868 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.869 * [taylor]: Taking taylor expansion of 2.0 in x 1.869 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.869 * [taylor]: Taking taylor expansion of x in x 1.869 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.869 * [taylor]: Taking taylor expansion of y in x 1.869 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.869 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.869 * [taylor]: Taking taylor expansion of y in x 1.869 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.869 * [taylor]: Taking taylor expansion of x in x 1.871 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.871 * [taylor]: Taking taylor expansion of 2.0 in x 1.871 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.871 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.871 * [taylor]: Taking taylor expansion of y in x 1.871 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.871 * [taylor]: Taking taylor expansion of y in x 1.871 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.871 * [taylor]: Taking taylor expansion of x in x 1.873 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 1.873 * [taylor]: Taking taylor expansion of -2.0 in y 1.873 * [taylor]: Taking taylor expansion of y in y 1.876 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.876 * [taylor]: Taking taylor expansion of 2.0 in y 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.876 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.876 * [taylor]: Taking taylor expansion of y in y 1.882 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.882 * [taylor]: Taking taylor expansion of 2.0 in y 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.882 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.894 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.894 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 1.894 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 1.894 * [taylor]: Taking taylor expansion of (- x y) in y 1.894 * [taylor]: Taking taylor expansion of x in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of y in y 1.894 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 1.894 * [taylor]: Taking taylor expansion of (- x y) in x 1.894 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 1.895 * [taylor]: Taking taylor expansion of (- x y) in x 1.895 * [taylor]: Taking taylor expansion of x in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [taylor]: Taking taylor expansion of -1 in y 1.895 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.895 * [taylor]: Taking taylor expansion of y in y 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.897 * [taylor]: Taking taylor expansion of 0 in y 1.899 * [taylor]: Taking taylor expansion of 0 in y 1.899 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 1.899 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.899 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.899 * [taylor]: Taking taylor expansion of x in y 1.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.899 * [taylor]: Taking taylor expansion of y in y 1.899 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.899 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.899 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.900 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.900 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.900 * [taylor]: Taking taylor expansion of x in x 1.900 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.900 * [taylor]: Taking taylor expansion of y in x 1.901 * [taylor]: Taking taylor expansion of y in y 1.901 * [taylor]: Taking taylor expansion of (- 1) in y 1.901 * [taylor]: Taking taylor expansion of 1 in y 1.903 * [taylor]: Taking taylor expansion of 0 in y 1.905 * [taylor]: Taking taylor expansion of 0 in y 1.907 * [taylor]: Taking taylor expansion of 0 in y 1.907 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.907 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 1.907 * [taylor]: Taking taylor expansion of -1 in y 1.908 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.908 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.908 * [taylor]: Taking taylor expansion of x in y 1.908 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.908 * [taylor]: Taking taylor expansion of y in x 1.908 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.908 * [taylor]: Taking taylor expansion of y in x 1.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.908 * [taylor]: Taking taylor expansion of x in x 1.908 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.908 * [taylor]: Taking taylor expansion of -1 in x 1.908 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.908 * [taylor]: Taking taylor expansion of y in x 1.908 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.909 * [taylor]: Taking taylor expansion of y in x 1.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.909 * [taylor]: Taking taylor expansion of x in x 1.909 * [taylor]: Taking taylor expansion of y in y 1.911 * [taylor]: Taking taylor expansion of (- 1) in y 1.911 * [taylor]: Taking taylor expansion of 1 in y 1.913 * [taylor]: Taking taylor expansion of 0 in y 1.915 * [taylor]: Taking taylor expansion of 0 in y 1.918 * [taylor]: Taking taylor expansion of 0 in y 1.919 * * * [progress]: simplifying candidates 1.920 * [simplify]: Simplifying using # : (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (- (+ (log x) (log 2.0)) (- (log (- x y)) (log y))) (- (+ (log x) (log 2.0)) (log (/ (- x y) y))) (- (log (* x 2.0)) (- (log (- x y)) (log y))) (- (log (* x 2.0)) (log (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y))) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (* (* (/ (* x 2.0) (/ (- x y) y)) (/ (* x 2.0) (/ (- x y) y))) (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (/ (sqrt (- x y)) 1)) (/ 2.0 (/ (sqrt (- x y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (sqrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) 1)) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (/ x (/ 1 (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- x y) (cbrt y))) (/ x (/ 1 (sqrt y))) (/ 2.0 (/ (- x y) (sqrt y))) (/ x (/ 1 1)) (/ 2.0 (/ (- x y) y)) (/ x 1) (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (/ 2.0 (/ 1 y)) (/ 1 (/ (- x y) y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1)) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (/ (sqrt (- x y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) 1)) (/ (* x 2.0) (/ 1 (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ 1 (sqrt y))) (/ (* x 2.0) (/ 1 1)) (/ (* x 2.0) 1) (/ (* x 2.0) (- x y)) (/ (/ (- x y) y) 2.0) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (- (log (- x y)) (log y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (/ (* (* (- x y) (- x y)) (- x y)) (* (* y y) y)) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (* (* (/ (- x y) y) (/ (- x y) y)) (/ (- x y) y)) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) (/ y y) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (- x y)) (cbrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y)) (/ (cbrt (- x y)) (sqrt y)) (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (/ (cbrt (- x y)) y) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) 1) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (/ (- (sqrt x) (sqrt y)) (sqrt y)) (/ (+ (sqrt x) (sqrt y)) 1) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) (/ 1 1) (/ (- x y) y) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (/ (- x y) 1) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (+ (* x x) (+ (* y y) (* x y)))) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 1.925 * * [simplify]: iteration 0 : 155 enodes (cost 1282 ) 1.963 * * [simplify]: iteration 1 : 390 enodes (cost 1208 ) 2.103 * * [simplify]: iteration 2 : 1561 enodes (cost 1092 ) 2.715 * * [simplify]: iteration done : 5000 enodes (cost 1092 ) 2.716 * [simplify]: Simplified to: (expm1 (/ (* x 2.0) (/ (- x y) y))) (log1p (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (log (/ (* x 2.0) (/ (- x y) y))) (exp (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (* (cbrt (/ (* x 2.0) (/ (- x y) y))) (cbrt (/ (* x 2.0) (/ (- x y) y)))) (cbrt (/ (* x 2.0) (/ (- x y) y))) (pow (/ (* x 2.0) (/ (- x y) y)) 3) (sqrt (/ (* x 2.0) (/ (- x y) y))) (sqrt (/ (* x 2.0) (/ (- x y) y))) (- (* x 2.0)) (- (/ (- x y) y)) (/ x (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ 2.0 (cbrt (/ (- x y) y))) (/ x (sqrt (/ (- x y) y))) (/ 2.0 (sqrt (/ (- x y) y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (cbrt (- x y)) (cbrt y))) (/ x (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ 2.0 (/ (cbrt (- x y)) (sqrt y))) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (/ (cbrt (- x y)) y)) (/ x (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (sqrt (- x y)) (cbrt y))) (/ x (/ (sqrt (- x y)) (sqrt y))) (/ 2.0 (/ (sqrt (- x y)) (sqrt y))) (/ x (sqrt (- x y))) (/ 2.0 (/ (sqrt (- x y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) (/ x (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) (cbrt y))) (/ x (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ 2.0 (+ (/ (sqrt x) (sqrt y)) -1)) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (/ (- (sqrt x) (sqrt y)) y)) (* x (* (cbrt y) (cbrt y))) (/ 2.0 (/ (- x y) (cbrt y))) (* x (sqrt y)) (/ 2.0 (/ (- x y) (sqrt y))) x (/ 2.0 (/ (- x y) y)) x (/ 2.0 (/ (- x y) y)) (/ x (- x y)) (* y 2.0) (/ y (- x y)) (/ (/ (- x y) y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y)))) (/ (* x 2.0) (sqrt (/ (- x y) y))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (* (cbrt (- x y)) (cbrt (- x y))) (sqrt y))) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* x 2.0) (sqrt (- x y))) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (* (* x 2.0) (* (cbrt y) (cbrt y))) (* (* x 2.0) (sqrt y)) (* x 2.0) (* x 2.0) (/ (* x 2.0) (- x y)) (/ (- x y) (* 2.0 y)) (/ (* x 2.0) (- x y)) (expm1 (/ (- x y) y)) (log1p (/ (- x y) y)) (log (/ (- x y) y)) (log (/ (- x y) y)) (exp (/ (- x y) y)) (pow (/ (- x y) y) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (/ (- x y) y) 3) (sqrt (/ (- x y) y)) (sqrt (/ (- x y) y)) (- (- x y)) (- y) (/ x y) 1 (/ (cbrt (- x y)) (/ (* (cbrt y) (cbrt y)) (cbrt (- x y)))) (/ (cbrt (- x y)) (cbrt y)) (* (cbrt (- x y)) (/ (cbrt (- x y)) (sqrt y))) (/ (cbrt (- x y)) (sqrt y)) (* (cbrt (- x y)) (cbrt (- x y))) (/ (cbrt (- x y)) y) (/ (/ (sqrt (- x y)) (cbrt y)) (cbrt y)) (/ (sqrt (- x y)) (cbrt y)) (/ (sqrt (- x y)) (sqrt y)) (/ (sqrt (- x y)) (sqrt y)) (sqrt (- x y)) (/ (sqrt (- x y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y))) (/ (- (sqrt x) (sqrt y)) (cbrt y)) (/ (+ (sqrt x) (sqrt y)) (sqrt y)) (+ (/ (sqrt x) (sqrt y)) -1) (+ (sqrt x) (sqrt y)) (/ (- (sqrt x) (sqrt y)) y) (/ 1 (* (cbrt y) (cbrt y))) (/ (- x y) (cbrt y)) (/ 1 (sqrt y)) (/ (- x y) (sqrt y)) 1 (- (/ x y) 1) (/ 1 y) (/ y (- x y)) (/ (- x y) (* (cbrt y) (cbrt y))) (/ (- x y) (sqrt y)) (- x y) (/ y (cbrt (- x y))) (/ y (sqrt (- x y))) (/ y (- x y)) (/ y (- (sqrt x) (sqrt y))) (/ y (- x y)) (* y (fma x x (* y (+ x y)))) (* y (+ x y)) 0 0 0 (- (/ x y) 1) (- (/ x y) 1) (- (/ x y) 1) 2.716 * * * [progress]: adding candidates to table 2.907 * * [progress]: iteration 4 / 4 2.908 * * * [progress]: picking best candidate 2.910 * * * * [pick]: Picked # 2.910 * * * [progress]: localizing error 2.916 * * * [progress]: generating rewritten candidates 2.916 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.938 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.947 * * * [progress]: generating series expansions 2.947 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.948 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 2.948 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 2.948 * [taylor]: Taking taylor expansion of 2.0 in y 2.948 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 2.948 * [taylor]: Taking taylor expansion of (* x y) in y 2.948 * [taylor]: Taking taylor expansion of x in y 2.948 * [taylor]: Taking taylor expansion of y in y 2.948 * [taylor]: Taking taylor expansion of (- x y) in y 2.948 * [taylor]: Taking taylor expansion of x in y 2.948 * [taylor]: Taking taylor expansion of y in y 2.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 2.949 * [taylor]: Taking taylor expansion of 2.0 in x 2.949 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 2.949 * [taylor]: Taking taylor expansion of (* x y) in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [taylor]: Taking taylor expansion of y in x 2.949 * [taylor]: Taking taylor expansion of (- x y) in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [taylor]: Taking taylor expansion of y in x 2.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 2.949 * [taylor]: Taking taylor expansion of 2.0 in x 2.949 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 2.949 * [taylor]: Taking taylor expansion of (* x y) in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [taylor]: Taking taylor expansion of y in x 2.949 * [taylor]: Taking taylor expansion of (- x y) in x 2.949 * [taylor]: Taking taylor expansion of x in x 2.949 * [taylor]: Taking taylor expansion of y in x 2.950 * [taylor]: Taking taylor expansion of -2.0 in y 2.951 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 2.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.951 * [taylor]: Taking taylor expansion of 2.0 in y 2.951 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.951 * [taylor]: Taking taylor expansion of y in y 2.956 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.956 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.956 * [taylor]: Taking taylor expansion of 2.0 in y 2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.956 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.956 * [taylor]: Taking taylor expansion of y in y 2.962 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 2.962 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 2.962 * [taylor]: Taking taylor expansion of 2.0 in y 2.962 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 2.962 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.962 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.962 * [taylor]: Taking taylor expansion of x in y 2.962 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.962 * [taylor]: Taking taylor expansion of (* x y) in y 2.962 * [taylor]: Taking taylor expansion of x in y 2.962 * [taylor]: Taking taylor expansion of y in y 2.964 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 2.964 * [taylor]: Taking taylor expansion of 2.0 in x 2.964 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 2.964 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.964 * [taylor]: Taking taylor expansion of x in x 2.964 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.964 * [taylor]: Taking taylor expansion of y in x 2.964 * [taylor]: Taking taylor expansion of (* x y) in x 2.964 * [taylor]: Taking taylor expansion of x in x 2.964 * [taylor]: Taking taylor expansion of y in x 2.966 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 2.966 * [taylor]: Taking taylor expansion of 2.0 in x 2.966 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 2.966 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.966 * [taylor]: Taking taylor expansion of y in x 2.966 * [taylor]: Taking taylor expansion of (* x y) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [taylor]: Taking taylor expansion of y in x 2.968 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 2.968 * [taylor]: Taking taylor expansion of 2.0 in y 2.968 * [taylor]: Taking taylor expansion of y in y 2.971 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.971 * [taylor]: Taking taylor expansion of 2.0 in y 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.971 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.971 * [taylor]: Taking taylor expansion of y in y 2.977 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 2.977 * [taylor]: Taking taylor expansion of 2.0 in y 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.977 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.977 * [taylor]: Taking taylor expansion of y in y 2.986 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 2.986 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 2.986 * [taylor]: Taking taylor expansion of 2.0 in y 2.986 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 2.986 * [taylor]: Taking taylor expansion of x in y 2.986 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 2.986 * [taylor]: Taking taylor expansion of y in y 2.986 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.986 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.986 * [taylor]: Taking taylor expansion of y in y 2.986 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.986 * [taylor]: Taking taylor expansion of x in y 2.988 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 2.988 * [taylor]: Taking taylor expansion of 2.0 in x 2.988 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 2.988 * [taylor]: Taking taylor expansion of x in x 2.988 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.988 * [taylor]: Taking taylor expansion of y in x 2.988 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.988 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.988 * [taylor]: Taking taylor expansion of y in x 2.988 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.988 * [taylor]: Taking taylor expansion of x in x 2.990 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 2.990 * [taylor]: Taking taylor expansion of 2.0 in x 2.990 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 2.990 * [taylor]: Taking taylor expansion of x in x 2.990 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.990 * [taylor]: Taking taylor expansion of y in x 2.990 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.991 * [taylor]: Taking taylor expansion of y in x 2.991 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.991 * [taylor]: Taking taylor expansion of x in x 2.993 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 2.993 * [taylor]: Taking taylor expansion of -2.0 in y 2.993 * [taylor]: Taking taylor expansion of y in y 2.995 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.996 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.996 * [taylor]: Taking taylor expansion of 2.0 in y 2.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.996 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.996 * [taylor]: Taking taylor expansion of y in y 3.002 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 3.002 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 3.002 * [taylor]: Taking taylor expansion of 2.0 in y 3.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.002 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.002 * [taylor]: Taking taylor expansion of y in y 3.015 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.016 * [approximate]: Taking taylor expansion of (/ x (- x y)) in (x y) around 0 3.016 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 3.016 * [taylor]: Taking taylor expansion of x in y 3.016 * [taylor]: Taking taylor expansion of (- x y) in y 3.016 * [taylor]: Taking taylor expansion of x in y 3.016 * [taylor]: Taking taylor expansion of y in y 3.016 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of (- x y) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of (- x y) in x 3.016 * [taylor]: Taking taylor expansion of x in x 3.016 * [taylor]: Taking taylor expansion of y in x 3.016 * [taylor]: Taking taylor expansion of (/ -1 y) in y 3.016 * [taylor]: Taking taylor expansion of -1 in y 3.016 * [taylor]: Taking taylor expansion of y in y 3.018 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.018 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.018 * [taylor]: Taking taylor expansion of y in y 3.022 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 3))) in y 3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 3.022 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.022 * [taylor]: Taking taylor expansion of y in y 3.029 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 3.029 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in y 3.029 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 3.029 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 3.029 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.029 * [taylor]: Taking taylor expansion of x in y 3.029 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.029 * [taylor]: Taking taylor expansion of y in y 3.029 * [taylor]: Taking taylor expansion of x in y 3.030 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 3.030 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 3.030 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.030 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.030 * [taylor]: Taking taylor expansion of x in x 3.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.030 * [taylor]: Taking taylor expansion of y in x 3.030 * [taylor]: Taking taylor expansion of x in x 3.032 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) x)) in x 3.032 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 3.032 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 3.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.032 * [taylor]: Taking taylor expansion of x in x 3.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.033 * [taylor]: Taking taylor expansion of y in x 3.033 * [taylor]: Taking taylor expansion of x in x 3.034 * [taylor]: Taking taylor expansion of 1 in y 3.036 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.036 * [taylor]: Taking taylor expansion of y in y 3.039 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.039 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.039 * [taylor]: Taking taylor expansion of y in y 3.043 * [approximate]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 3.044 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in y 3.044 * [taylor]: Taking taylor expansion of -1 in y 3.044 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 3.044 * [taylor]: Taking taylor expansion of x in y 3.044 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 3.044 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.044 * [taylor]: Taking taylor expansion of y in y 3.044 * [taylor]: Taking taylor expansion of (/ 1 x) in y 3.044 * [taylor]: Taking taylor expansion of x in y 3.044 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 3.044 * [taylor]: Taking taylor expansion of -1 in x 3.044 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 3.044 * [taylor]: Taking taylor expansion of x in x 3.044 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.044 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.044 * [taylor]: Taking taylor expansion of y in x 3.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.045 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of (/ -1 (* x (- (/ 1 y) (/ 1 x)))) in x 3.047 * [taylor]: Taking taylor expansion of -1 in x 3.047 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.047 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 3.047 * [taylor]: Taking taylor expansion of (/ 1 y) in x 3.047 * [taylor]: Taking taylor expansion of y in x 3.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 3.047 * [taylor]: Taking taylor expansion of x in x 3.049 * [taylor]: Taking taylor expansion of 1 in y 3.052 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.052 * [taylor]: Taking taylor expansion of y in y 3.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 3.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.056 * [taylor]: Taking taylor expansion of y in y 3.060 * * * [progress]: simplifying candidates 3.061 * [simplify]: Simplifying using # : (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (+ (- (log x) (log (- x y))) (+ (log y) (log 2.0))) (+ (- (log x) (log (- x y))) (log (* y 2.0))) (+ (log (/ x (- x y))) (+ (log y) (log 2.0))) (+ (log (/ x (- x y))) (log (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y y) y) (* (* 2.0 2.0) 2.0))) (* (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (* (* (* y 2.0) (* y 2.0)) (* y 2.0))) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (* (* (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ 1 (- x y)) (* y 2.0)) (* (+ (* x x) (+ (* y y) (* x y))) (* y 2.0)) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (- (log x) (log (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (/ (* (* x x) x) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (* (* (/ x (- x y)) (/ x (- x y))) (/ x (- x y))) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (/ (* (cbrt x) (cbrt x)) 1) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (/ (sqrt x) 1) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) (/ 1 1) (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) (/ 1 1) (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) (/ x 1) (/ x (+ (sqrt x) (sqrt y))) (/ x 1) (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 3.065 * * [simplify]: iteration 0 : 123 enodes (cost 926 ) 3.093 * * [simplify]: iteration 1 : 320 enodes (cost 888 ) 3.181 * * [simplify]: iteration 2 : 1028 enodes (cost 786 ) 4.010 * * [simplify]: iteration 3 : 4899 enodes (cost 786 ) 5.490 * * [simplify]: iteration done : 5000 enodes (cost 786 ) 5.491 * [simplify]: Simplified to: (expm1 (* (/ x (- x y)) (* y 2.0))) (log1p (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (log (* (/ x (- x y)) (* y 2.0))) (exp (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (pow (* (/ x (- x y)) (* y 2.0)) 3) (* (cbrt (* (/ x (- x y)) (* y 2.0))) (cbrt (* (/ x (- x y)) (* y 2.0)))) (cbrt (* (/ x (- x y)) (* y 2.0))) (pow (* (/ x (- x y)) (* y 2.0)) 3) (sqrt (* (/ x (- x y)) (* y 2.0))) (sqrt (* (/ x (- x y)) (* y 2.0))) (* (/ x (- x y)) y) (* (cbrt (/ x (- x y))) (* y 2.0)) (* (sqrt (/ x (- x y))) (* y 2.0)) (* (/ (cbrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (cbrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (cbrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (cbrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (sqrt (- x y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ (sqrt x) (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ (sqrt x) (- x y)) (* y 2.0)) (* (/ x (cbrt (- x y))) (* y 2.0)) (* (/ x (sqrt (- x y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- (sqrt x) (sqrt y))) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (* (/ x (- x y)) (* y 2.0)) (/ (* y 2.0) (- x y)) (* (* (fma x x (* y (+ x y))) y) 2.0) (* (+ x y) (* y 2.0)) (* x (* y 2.0)) (expm1 (/ x (- x y))) (log1p (/ x (- x y))) (log (/ x (- x y))) (log (/ x (- x y))) (exp (/ x (- x y))) (pow (/ x (- x y)) 3) (* (cbrt (/ x (- x y))) (cbrt (/ x (- x y)))) (cbrt (/ x (- x y))) (pow (/ x (- x y)) 3) (sqrt (/ x (- x y))) (sqrt (/ x (- x y))) (- x) (- (- x y)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (cbrt x) (cbrt (- x y))) (/ (* (cbrt x) (cbrt x)) (sqrt (- x y))) (/ (cbrt x) (sqrt (- x y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (* (cbrt x) (cbrt x)) (+ (sqrt x) (sqrt y))) (/ (cbrt x) (- (sqrt x) (sqrt y))) (* (cbrt x) (cbrt x)) (/ (cbrt x) (- x y)) (/ (sqrt x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (sqrt x) (cbrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (/ (sqrt x) (sqrt (- x y))) (sqrt x) (/ (sqrt x) (- x y)) (/ (sqrt x) (+ (sqrt x) (sqrt y))) (/ (sqrt x) (- (sqrt x) (sqrt y))) (sqrt x) (/ (sqrt x) (- x y)) (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (cbrt (- x y))) (/ 1 (sqrt (- x y))) (/ x (sqrt (- x y))) 1 (/ x (- x y)) (/ 1 (+ (sqrt x) (sqrt y))) (/ x (- (sqrt x) (sqrt y))) 1 (/ x (- x y)) (/ 1 (- x y)) (/ (- x y) x) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ x (sqrt (- x y))) x (/ x (+ (sqrt x) (sqrt y))) x (/ (- x y) (cbrt x)) (/ (- x y) (sqrt x)) (/ (- x y) x) (/ x (- (pow x 3) (pow y 3))) (/ x (- (* x x) (* y y))) 0 0 0 0 0 0 5.491 * * * [progress]: adding candidates to table 5.656 * [progress]: [Phase 3 of 3] Extracting. 5.656 * * [regime]: Finding splitpoints for: (# # #) 5.657 * * * [regime-changes]: Trying 2 branch expressions: (y x) 5.657 * * * * [regimes]: Trying to branch on y from (# # #) 5.680 * * * * [regimes]: Trying to branch on x from (# # #) 5.701 * * * [regime]: Found split indices: #