16.582 * [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 : 71 enodes (cost 9 ) 0.033 * * [simplify]: iteration 4 : 121 enodes (cost 9 ) 0.048 * * [simplify]: iteration 5 : 156 enodes (cost 9 ) 0.071 * * [simplify]: iteration 6 : 177 enodes (cost 9 ) 0.092 * * [simplify]: iteration 7 : 180 enodes (cost 9 ) 0.116 * * [simplify]: iteration done : 180 enodes (cost 9 ) 0.116 * [simplify]: Simplified to: (/ (* (* x 2.0) y) (- x y)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.117 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.124 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.135 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.135 * [taylor]: Taking taylor expansion of 2.0 in y 0.135 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.135 * [taylor]: Taking taylor expansion of (* x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (- x y) in y 0.135 * [taylor]: Taking taylor expansion of x in y 0.135 * [taylor]: Taking taylor expansion of y in y 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.136 * [taylor]: Taking taylor expansion of 2.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (- x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.136 * [taylor]: Taking taylor expansion of 2.0 in x 0.136 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.136 * [taylor]: Taking taylor expansion of (* x y) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of (- x y) in x 0.137 * [taylor]: Taking taylor expansion of x in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.137 * [taylor]: Taking taylor expansion of -2.0 in y 0.139 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.139 * [taylor]: Taking taylor expansion of 2.0 in y 0.139 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.139 * [taylor]: Taking taylor expansion of y in y 0.143 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.143 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.143 * [taylor]: Taking taylor expansion of 2.0 in y 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.143 * [taylor]: Taking taylor expansion of y in y 0.149 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.149 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.149 * [taylor]: Taking taylor expansion of 2.0 in y 0.149 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.149 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of (* x y) in y 0.149 * [taylor]: Taking taylor expansion of x in y 0.149 * [taylor]: Taking taylor expansion of y in y 0.151 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.151 * [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 0.153 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.153 * [taylor]: Taking taylor expansion of 2.0 in x 0.153 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (* x y) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.155 * [taylor]: Taking taylor expansion of 2.0 in y 0.155 * [taylor]: Taking taylor expansion of y in y 0.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.158 * [taylor]: Taking taylor expansion of 2.0 in y 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.158 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.158 * [taylor]: Taking taylor expansion of y in y 0.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.164 * [taylor]: Taking taylor expansion of 2.0 in y 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.164 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.171 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.171 * [taylor]: Taking taylor expansion of 2.0 in y 0.171 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.172 * [taylor]: Taking taylor expansion of x in y 0.173 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.173 * [taylor]: Taking taylor expansion of 2.0 in x 0.173 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [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 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.178 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.178 * [taylor]: Taking taylor expansion of -2.0 in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.181 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.181 * [taylor]: Taking taylor expansion of 2.0 in y 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.191 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.192 * [taylor]: Taking taylor expansion of 2.0 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.200 * * * [progress]: simplifying candidates 0.200 * [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 0.203 * * [simplify]: iteration 0 : 79 enodes (cost 420 ) 0.216 * * [simplify]: iteration 1 : 221 enodes (cost 400 ) 0.269 * * [simplify]: iteration 2 : 1081 enodes (cost 334 ) 0.600 * * [simplify]: iteration done : 5000 enodes (cost 334 ) 0.600 * [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 0.600 * * * [progress]: adding candidates to table 0.656 * * [progress]: iteration 2 / 4 0.657 * * * [progress]: picking best candidate 0.662 * * * * [pick]: Picked # 0.662 * * * [progress]: localizing error 0.670 * * * [progress]: generating rewritten candidates 0.671 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.686 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.695 * * * [progress]: generating series expansions 0.695 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.695 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 0.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 0.695 * [taylor]: Taking taylor expansion of 2.0 in y 0.695 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 0.695 * [taylor]: Taking taylor expansion of (* x y) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.695 * [taylor]: Taking taylor expansion of (- x y) in y 0.695 * [taylor]: Taking taylor expansion of x in y 0.695 * [taylor]: Taking taylor expansion of y in y 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.697 * [taylor]: Taking taylor expansion of 2.0 in x 0.697 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.697 * [taylor]: Taking taylor expansion of (* x y) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (- x y) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 0.697 * [taylor]: Taking taylor expansion of 2.0 in x 0.697 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 0.697 * [taylor]: Taking taylor expansion of (* x y) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.697 * [taylor]: Taking taylor expansion of (- x y) in x 0.697 * [taylor]: Taking taylor expansion of x in x 0.697 * [taylor]: Taking taylor expansion of y in x 0.698 * [taylor]: Taking taylor expansion of -2.0 in y 0.700 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 0.700 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.700 * [taylor]: Taking taylor expansion of 2.0 in y 0.700 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.700 * [taylor]: Taking taylor expansion of y in y 0.704 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.704 * [taylor]: Taking taylor expansion of 2.0 in y 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.704 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.704 * [taylor]: Taking taylor expansion of y in y 0.709 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 0.709 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 0.709 * [taylor]: Taking taylor expansion of 2.0 in y 0.709 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 0.709 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.709 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.709 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.710 * [taylor]: Taking taylor expansion of (* x y) in y 0.710 * [taylor]: Taking taylor expansion of x in y 0.710 * [taylor]: Taking taylor expansion of y in y 0.712 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.712 * [taylor]: Taking taylor expansion of 2.0 in x 0.712 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.712 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.712 * [taylor]: Taking taylor expansion of (* x y) in x 0.712 * [taylor]: Taking taylor expansion of x in x 0.712 * [taylor]: Taking taylor expansion of y in x 0.713 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 0.713 * [taylor]: Taking taylor expansion of 2.0 in x 0.714 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 0.714 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.714 * [taylor]: Taking taylor expansion of (* x y) in x 0.714 * [taylor]: Taking taylor expansion of x in x 0.714 * [taylor]: Taking taylor expansion of y in x 0.715 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 0.715 * [taylor]: Taking taylor expansion of 2.0 in y 0.715 * [taylor]: Taking taylor expansion of y in y 0.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.718 * [taylor]: Taking taylor expansion of 2.0 in y 0.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.719 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.725 * [taylor]: Taking taylor expansion of 2.0 in y 0.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.725 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.725 * [taylor]: Taking taylor expansion of y in y 0.733 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.733 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 0.733 * [taylor]: Taking taylor expansion of 2.0 in y 0.733 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.733 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.733 * [taylor]: Taking taylor expansion of y in y 0.733 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.733 * [taylor]: Taking taylor expansion of x in y 0.735 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.735 * [taylor]: Taking taylor expansion of 2.0 in x 0.735 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.735 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.735 * [taylor]: Taking taylor expansion of y in x 0.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.735 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 0.737 * [taylor]: Taking taylor expansion of 2.0 in x 0.737 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.737 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.737 * [taylor]: Taking taylor expansion of y in x 0.737 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.737 * [taylor]: Taking taylor expansion of x in x 0.739 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 0.739 * [taylor]: Taking taylor expansion of -2.0 in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.742 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 0.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 0.742 * [taylor]: Taking taylor expansion of 2.0 in y 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.742 * [taylor]: Taking taylor expansion of y in y 0.753 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 0.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 0.753 * [taylor]: Taking taylor expansion of 2.0 in y 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.753 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.753 * [taylor]: Taking taylor expansion of y in y 0.762 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.762 * [approximate]: Taking taylor expansion of (/ y (- x y)) in (y x) around 0 0.762 * [taylor]: Taking taylor expansion of (/ y (- x y)) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (- x y) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (- x y) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (/ y (- x y)) in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (- x y) in y 0.763 * [taylor]: Taking taylor expansion of x in y 0.763 * [taylor]: Taking taylor expansion of y in y 0.764 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 3)) in x 0.769 * [taylor]: Taking taylor expansion of (pow x 3) in x 0.769 * [taylor]: Taking taylor expansion of x in x 0.776 * [approximate]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in (y x) around 0 0.776 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in x 0.776 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 0.776 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.776 * [taylor]: Taking taylor expansion of x in x 0.776 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.776 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of y in x 0.777 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.777 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.777 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.777 * [taylor]: Taking taylor expansion of x in y 0.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.777 * [taylor]: Taking taylor expansion of y in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (* (- (/ 1 x) (/ 1 y)) y)) in y 0.780 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of -1 in x 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.788 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.793 * [approximate]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in (y x) around 0 0.793 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in x 0.793 * [taylor]: Taking taylor expansion of -1 in x 0.793 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.793 * [taylor]: Taking taylor expansion of y in x 0.793 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.793 * [taylor]: Taking taylor expansion of x in x 0.794 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.794 * [taylor]: Taking taylor expansion of -1 in y 0.794 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.794 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.794 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (/ -1 (* y (- (/ 1 y) (/ 1 x)))) in y 0.796 * [taylor]: Taking taylor expansion of -1 in y 0.796 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.798 * [taylor]: Taking taylor expansion of -1 in x 0.800 * [taylor]: Taking taylor expansion of (- (/ 1 x)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.804 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.804 * [taylor]: Taking taylor expansion of x in x 0.808 * * * [progress]: simplifying candidates 0.809 * [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 0.812 * * [simplify]: iteration 0 : 120 enodes (cost 947 ) 0.839 * * [simplify]: iteration 1 : 324 enodes (cost 888 ) 0.925 * * [simplify]: iteration 2 : 1576 enodes (cost 788 ) 1.460 * * [simplify]: iteration done : 5000 enodes (cost 788 ) 1.461 * [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)))) (* (* 2.0 x) (* (cbrt y) (cbrt y))) (* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (+ (sqrt x) (sqrt y)))) (* (* 2.0 x) (* (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) (* 2.0 x)) (* (* x 2.0) (/ (sqrt y) (+ (sqrt x) (sqrt y)))) (* (sqrt y) (* 2.0 x)) (/ (* 2.0 x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* 2.0 x) (sqrt (- x y))) (* 2.0 x) (/ (* 2.0 x) (+ (sqrt x) (sqrt y))) (* 2.0 x) (* 2.0 x) (* (* 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 1.461 * * * [progress]: adding candidates to table 1.610 * * [progress]: iteration 3 / 4 1.610 * * * [progress]: picking best candidate 1.614 * * * * [pick]: Picked # 1.614 * * * [progress]: localizing error 1.620 * * * [progress]: generating rewritten candidates 1.620 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.634 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 1.646 * * * [progress]: generating series expansions 1.646 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.646 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 1.646 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 1.646 * [taylor]: Taking taylor expansion of 2.0 in y 1.646 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 1.646 * [taylor]: Taking taylor expansion of (* x y) in y 1.646 * [taylor]: Taking taylor expansion of x in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.646 * [taylor]: Taking taylor expansion of (- x y) in y 1.646 * [taylor]: Taking taylor expansion of x in y 1.646 * [taylor]: Taking taylor expansion of y in y 1.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 1.647 * [taylor]: Taking taylor expansion of 2.0 in x 1.647 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 1.647 * [taylor]: Taking taylor expansion of (* x y) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.647 * [taylor]: Taking taylor expansion of y in x 1.647 * [taylor]: Taking taylor expansion of (- x y) in x 1.647 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 1.648 * [taylor]: Taking taylor expansion of 2.0 in x 1.648 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 1.648 * [taylor]: Taking taylor expansion of (* x y) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.648 * [taylor]: Taking taylor expansion of (- x y) in x 1.648 * [taylor]: Taking taylor expansion of x in x 1.648 * [taylor]: Taking taylor expansion of y in x 1.649 * [taylor]: Taking taylor expansion of -2.0 in y 1.650 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 1.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.650 * [taylor]: Taking taylor expansion of 2.0 in y 1.650 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.650 * [taylor]: Taking taylor expansion of y in y 1.655 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.655 * [taylor]: Taking taylor expansion of 2.0 in y 1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.655 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.655 * [taylor]: Taking taylor expansion of y in y 1.661 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 1.661 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 1.661 * [taylor]: Taking taylor expansion of 2.0 in y 1.661 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 1.661 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.661 * [taylor]: Taking taylor expansion of x in y 1.661 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.661 * [taylor]: Taking taylor expansion of (* x y) in y 1.661 * [taylor]: Taking taylor expansion of x in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.663 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.663 * [taylor]: Taking taylor expansion of 2.0 in x 1.663 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.663 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.663 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.663 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.664 * [taylor]: Taking taylor expansion of y in x 1.664 * [taylor]: Taking taylor expansion of (* x y) in x 1.664 * [taylor]: Taking taylor expansion of x in x 1.664 * [taylor]: Taking taylor expansion of y in x 1.665 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 1.665 * [taylor]: Taking taylor expansion of 2.0 in x 1.665 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 1.665 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.665 * [taylor]: Taking taylor expansion of (* x y) in x 1.665 * [taylor]: Taking taylor expansion of x in x 1.665 * [taylor]: Taking taylor expansion of y in x 1.667 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 1.667 * [taylor]: Taking taylor expansion of 2.0 in y 1.667 * [taylor]: Taking taylor expansion of y in y 1.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.670 * [taylor]: Taking taylor expansion of 2.0 in y 1.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.670 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.670 * [taylor]: Taking taylor expansion of y in y 1.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.676 * [taylor]: Taking taylor expansion of 2.0 in y 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.676 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.684 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 1.684 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 1.684 * [taylor]: Taking taylor expansion of 2.0 in y 1.684 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 1.684 * [taylor]: Taking taylor expansion of x in y 1.684 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.684 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.684 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.684 * [taylor]: Taking taylor expansion of y in y 1.684 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.684 * [taylor]: Taking taylor expansion of x in y 1.686 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.686 * [taylor]: Taking taylor expansion of 2.0 in x 1.686 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.686 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.686 * [taylor]: Taking taylor expansion of y in x 1.686 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.686 * [taylor]: Taking taylor expansion of y in x 1.686 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.686 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 1.688 * [taylor]: Taking taylor expansion of 2.0 in x 1.688 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.688 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.688 * [taylor]: Taking taylor expansion of y in x 1.688 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.688 * [taylor]: Taking taylor expansion of x in x 1.690 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 1.690 * [taylor]: Taking taylor expansion of -2.0 in y 1.690 * [taylor]: Taking taylor expansion of y in y 1.693 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 1.693 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 1.693 * [taylor]: Taking taylor expansion of 2.0 in y 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.693 * [taylor]: Taking taylor expansion of y in y 1.699 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 1.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 1.699 * [taylor]: Taking taylor expansion of 2.0 in y 1.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.699 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.699 * [taylor]: Taking taylor expansion of y in y 1.713 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 1.714 * [approximate]: Taking taylor expansion of (/ (- x y) y) in (x y) around 0 1.714 * [taylor]: Taking taylor expansion of (/ (- x y) y) in y 1.714 * [taylor]: Taking taylor expansion of (- x y) in y 1.714 * [taylor]: Taking taylor expansion of x in y 1.714 * [taylor]: Taking taylor expansion of y in y 1.714 * [taylor]: Taking taylor expansion of y in y 1.714 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 1.714 * [taylor]: Taking taylor expansion of (- x y) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [taylor]: Taking taylor expansion of (/ (- x y) y) in x 1.714 * [taylor]: Taking taylor expansion of (- x y) in x 1.714 * [taylor]: Taking taylor expansion of x in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [taylor]: Taking taylor expansion of y in x 1.714 * [taylor]: Taking taylor expansion of -1 in y 1.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.715 * [taylor]: Taking taylor expansion of y in y 1.716 * [taylor]: Taking taylor expansion of 0 in y 1.717 * [taylor]: Taking taylor expansion of 0 in y 1.718 * [taylor]: Taking taylor expansion of 0 in y 1.718 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 1.718 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in y 1.718 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.718 * [taylor]: Taking taylor expansion of x in y 1.718 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.718 * [taylor]: Taking taylor expansion of y in y 1.719 * [taylor]: Taking taylor expansion of y in y 1.719 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) y) in x 1.719 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.719 * [taylor]: Taking taylor expansion of x in x 1.719 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.719 * [taylor]: Taking taylor expansion of y in x 1.720 * [taylor]: Taking taylor expansion of y in y 1.721 * [taylor]: Taking taylor expansion of (- 1) in y 1.721 * [taylor]: Taking taylor expansion of 1 in y 1.722 * [taylor]: Taking taylor expansion of 0 in y 1.724 * [taylor]: Taking taylor expansion of 0 in y 1.726 * [taylor]: Taking taylor expansion of 0 in y 1.726 * [approximate]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.726 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in y 1.726 * [taylor]: Taking taylor expansion of -1 in y 1.726 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 1.726 * [taylor]: Taking taylor expansion of y in y 1.726 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.726 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.726 * [taylor]: Taking taylor expansion of y in y 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.727 * [taylor]: Taking taylor expansion of x in y 1.727 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of y in x 1.727 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.727 * [taylor]: Taking taylor expansion of y in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.727 * [taylor]: Taking taylor expansion of (* -1 (* y (- (/ 1 y) (/ 1 x)))) in x 1.727 * [taylor]: Taking taylor expansion of -1 in x 1.727 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 1.727 * [taylor]: Taking taylor expansion of y in x 1.727 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.727 * [taylor]: Taking taylor expansion of y in x 1.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.727 * [taylor]: Taking taylor expansion of x in x 1.728 * [taylor]: Taking taylor expansion of y in y 1.729 * [taylor]: Taking taylor expansion of (- 1) in y 1.729 * [taylor]: Taking taylor expansion of 1 in y 1.731 * [taylor]: Taking taylor expansion of 0 in y 1.734 * [taylor]: Taking taylor expansion of 0 in y 1.737 * [taylor]: Taking taylor expansion of 0 in y 1.737 * * * [progress]: simplifying candidates 1.739 * [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) 1.743 * * [simplify]: iteration 0 : 155 enodes (cost 1282 ) 1.770 * * [simplify]: iteration 1 : 399 enodes (cost 1208 ) 1.875 * * [simplify]: iteration 2 : 1863 enodes (cost 1092 ) 2.441 * * [simplify]: iteration done : 5001 enodes (cost 1092 ) 2.442 * [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)) (* 2.0 y) (/ 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))) (/ (* 2.0 x) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (sqrt (- x y)) (sqrt y))) (/ (* 2.0 x) (sqrt (- x y))) (* (* 2.0 x) (* (cbrt y) (cbrt y))) (* (* 2.0 x) (sqrt y)) (* 2.0 x) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (* (cbrt y) (cbrt y)))) (/ (* x 2.0) (/ (+ (sqrt x) (sqrt y)) (sqrt y))) (/ (* 2.0 x) (+ (sqrt x) (sqrt y))) (* (* 2.0 x) (* (cbrt y) (cbrt y))) (* (* 2.0 x) (sqrt y)) (* 2.0 x) (* 2.0 x) (/ (* 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) 1) 3) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))) (cbrt (/ (- x y) y)) (pow (- (/ x y) 1) 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) 2.442 * * * [progress]: adding candidates to table 2.626 * * [progress]: iteration 4 / 4 2.626 * * * [progress]: picking best candidate 2.628 * * * * [pick]: Picked # 2.628 * * * [progress]: localizing error 2.634 * * * [progress]: generating rewritten candidates 2.634 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.650 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.659 * * * [progress]: generating series expansions 2.659 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.659 * [approximate]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in (x y) around 0 2.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in y 2.659 * [taylor]: Taking taylor expansion of 2.0 in y 2.659 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in y 2.659 * [taylor]: Taking taylor expansion of (* x y) in y 2.659 * [taylor]: Taking taylor expansion of x in y 2.659 * [taylor]: Taking taylor expansion of y in y 2.659 * [taylor]: Taking taylor expansion of (- x y) in y 2.659 * [taylor]: Taking taylor expansion of x in y 2.659 * [taylor]: Taking taylor expansion of y in y 2.660 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 2.660 * [taylor]: Taking taylor expansion of 2.0 in x 2.660 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 2.660 * [taylor]: Taking taylor expansion of (* x y) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.660 * [taylor]: Taking taylor expansion of y in x 2.660 * [taylor]: Taking taylor expansion of (- x y) in x 2.660 * [taylor]: Taking taylor expansion of x in x 2.661 * [taylor]: Taking taylor expansion of y in x 2.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ (* x y) (- x y))) in x 2.661 * [taylor]: Taking taylor expansion of 2.0 in x 2.661 * [taylor]: Taking taylor expansion of (/ (* x y) (- x y)) in x 2.661 * [taylor]: Taking taylor expansion of (* x y) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [taylor]: Taking taylor expansion of y in x 2.661 * [taylor]: Taking taylor expansion of (- x y) in x 2.661 * [taylor]: Taking taylor expansion of x in x 2.661 * [taylor]: Taking taylor expansion of y in x 2.662 * [taylor]: Taking taylor expansion of -2.0 in y 2.663 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 y))) in y 2.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.664 * [taylor]: Taking taylor expansion of 2.0 in y 2.664 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.664 * [taylor]: Taking taylor expansion of y in y 2.667 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.668 * [taylor]: Taking taylor expansion of 2.0 in y 2.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.668 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.668 * [taylor]: Taking taylor expansion of y in y 2.673 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in (x y) around 0 2.673 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in y 2.673 * [taylor]: Taking taylor expansion of 2.0 in y 2.673 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in y 2.673 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.673 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.673 * [taylor]: Taking taylor expansion of x in y 2.673 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.673 * [taylor]: Taking taylor expansion of y in y 2.674 * [taylor]: Taking taylor expansion of (* x y) in y 2.674 * [taylor]: Taking taylor expansion of x in y 2.674 * [taylor]: Taking taylor expansion of y in y 2.675 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 2.676 * [taylor]: Taking taylor expansion of 2.0 in x 2.676 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 2.676 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.676 * [taylor]: Taking taylor expansion of y in x 2.676 * [taylor]: Taking taylor expansion of (* x y) in x 2.676 * [taylor]: Taking taylor expansion of x in x 2.676 * [taylor]: Taking taylor expansion of y in x 2.681 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) (* x y))) in x 2.681 * [taylor]: Taking taylor expansion of 2.0 in x 2.681 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (* x y)) in x 2.681 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.681 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.681 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.682 * [taylor]: Taking taylor expansion of y in x 2.682 * [taylor]: Taking taylor expansion of (* x y) in x 2.682 * [taylor]: Taking taylor expansion of x in x 2.682 * [taylor]: Taking taylor expansion of y in x 2.683 * [taylor]: Taking taylor expansion of (/ 2.0 y) in y 2.683 * [taylor]: Taking taylor expansion of 2.0 in y 2.683 * [taylor]: Taking taylor expansion of y in y 2.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.687 * [taylor]: Taking taylor expansion of 2.0 in y 2.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.687 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.687 * [taylor]: Taking taylor expansion of y in y 2.693 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 2.693 * [taylor]: Taking taylor expansion of 2.0 in y 2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.693 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.693 * [taylor]: Taking taylor expansion of y in y 2.700 * [approximate]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in (x y) around 0 2.701 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in y 2.701 * [taylor]: Taking taylor expansion of 2.0 in y 2.701 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in y 2.701 * [taylor]: Taking taylor expansion of x in y 2.701 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in y 2.701 * [taylor]: Taking taylor expansion of y in y 2.701 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.701 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.701 * [taylor]: Taking taylor expansion of y in y 2.701 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.701 * [taylor]: Taking taylor expansion of x in y 2.703 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 2.703 * [taylor]: Taking taylor expansion of 2.0 in x 2.703 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.703 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.703 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.703 * [taylor]: Taking taylor expansion of y in x 2.703 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.703 * [taylor]: Taking taylor expansion of x in x 2.705 * [taylor]: Taking taylor expansion of (/ 2.0 (* x (* y (- (/ 1 y) (/ 1 x))))) in x 2.705 * [taylor]: Taking taylor expansion of 2.0 in x 2.705 * [taylor]: Taking taylor expansion of (* x (* y (- (/ 1 y) (/ 1 x)))) in x 2.705 * [taylor]: Taking taylor expansion of x in x 2.705 * [taylor]: Taking taylor expansion of (* y (- (/ 1 y) (/ 1 x))) in x 2.705 * [taylor]: Taking taylor expansion of y in x 2.705 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.705 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.705 * [taylor]: Taking taylor expansion of y in x 2.705 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.705 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 2.707 * [taylor]: Taking taylor expansion of -2.0 in y 2.707 * [taylor]: Taking taylor expansion of y in y 2.710 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.710 * [taylor]: Taking taylor expansion of 2.0 in y 2.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.710 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.710 * [taylor]: Taking taylor expansion of y in y 2.716 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 2.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 2.716 * [taylor]: Taking taylor expansion of 2.0 in y 2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.716 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.716 * [taylor]: Taking taylor expansion of y in y 2.724 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.724 * [approximate]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in (x y) around 0 2.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in y 2.724 * [taylor]: Taking taylor expansion of 2.0 in y 2.724 * [taylor]: Taking taylor expansion of (/ x (- x y)) in y 2.724 * [taylor]: Taking taylor expansion of x in y 2.724 * [taylor]: Taking taylor expansion of (- x y) in y 2.724 * [taylor]: Taking taylor expansion of x in y 2.724 * [taylor]: Taking taylor expansion of y in y 2.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in x 2.725 * [taylor]: Taking taylor expansion of 2.0 in x 2.725 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of (- x y) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of y in x 2.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ x (- x y))) in x 2.725 * [taylor]: Taking taylor expansion of 2.0 in x 2.725 * [taylor]: Taking taylor expansion of (/ x (- x y)) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of (- x y) in x 2.725 * [taylor]: Taking taylor expansion of x in x 2.725 * [taylor]: Taking taylor expansion of y in x 2.725 * [taylor]: Taking taylor expansion of (/ -2.0 y) in y 2.725 * [taylor]: Taking taylor expansion of -2.0 in y 2.725 * [taylor]: Taking taylor expansion of y in y 2.727 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 2)))) in y 2.727 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.727 * [taylor]: Taking taylor expansion of 2.0 in y 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.727 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.727 * [taylor]: Taking taylor expansion of y in y 2.732 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 (pow y 3)))) in y 2.732 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 3))) in y 2.732 * [taylor]: Taking taylor expansion of 2.0 in y 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 2.732 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.732 * [taylor]: Taking taylor expansion of y in y 2.740 * [approximate]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in (x y) around 0 2.740 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in y 2.740 * [taylor]: Taking taylor expansion of 2.0 in y 2.740 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in y 2.740 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.740 * [taylor]: Taking taylor expansion of x in y 2.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.740 * [taylor]: Taking taylor expansion of y in y 2.741 * [taylor]: Taking taylor expansion of x in y 2.741 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in x 2.741 * [taylor]: Taking taylor expansion of 2.0 in x 2.741 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 2.741 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.741 * [taylor]: Taking taylor expansion of x in x 2.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.742 * [taylor]: Taking taylor expansion of y in x 2.742 * [taylor]: Taking taylor expansion of x in x 2.743 * [taylor]: Taking taylor expansion of (/ 2.0 (* (- (/ 1 x) (/ 1 y)) x)) in x 2.744 * [taylor]: Taking taylor expansion of 2.0 in x 2.744 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) x) in x 2.744 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.744 * [taylor]: Taking taylor expansion of y in x 2.744 * [taylor]: Taking taylor expansion of x in x 2.746 * [taylor]: Taking taylor expansion of 2.0 in y 2.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.748 * [taylor]: Taking taylor expansion of 2.0 in y 2.748 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.748 * [taylor]: Taking taylor expansion of y in y 2.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.753 * [taylor]: Taking taylor expansion of 2.0 in y 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.753 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.753 * [taylor]: Taking taylor expansion of y in y 2.759 * [approximate]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in (x y) around 0 2.759 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in y 2.759 * [taylor]: Taking taylor expansion of -2.0 in y 2.759 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in y 2.759 * [taylor]: Taking taylor expansion of x in y 2.759 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.759 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.759 * [taylor]: Taking taylor expansion of y in y 2.759 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.759 * [taylor]: Taking taylor expansion of x in y 2.760 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in x 2.760 * [taylor]: Taking taylor expansion of -2.0 in x 2.760 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 2.760 * [taylor]: Taking taylor expansion of x in x 2.760 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.760 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.760 * [taylor]: Taking taylor expansion of y in x 2.760 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.760 * [taylor]: Taking taylor expansion of x in x 2.763 * [taylor]: Taking taylor expansion of (/ -2.0 (* x (- (/ 1 y) (/ 1 x)))) in x 2.763 * [taylor]: Taking taylor expansion of -2.0 in x 2.763 * [taylor]: Taking taylor expansion of (* x (- (/ 1 y) (/ 1 x))) in x 2.763 * [taylor]: Taking taylor expansion of x in x 2.763 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.763 * [taylor]: Taking taylor expansion of y in x 2.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.763 * [taylor]: Taking taylor expansion of x in x 2.772 * [taylor]: Taking taylor expansion of 2.0 in y 2.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 2.775 * [taylor]: Taking taylor expansion of 2.0 in y 2.775 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.775 * [taylor]: Taking taylor expansion of y in y 2.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (pow y 2))) in y 2.779 * [taylor]: Taking taylor expansion of 2.0 in y 2.779 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.779 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.779 * [taylor]: Taking taylor expansion of y in y 2.784 * * * [progress]: simplifying candidates 2.785 * [simplify]: Simplifying using # : (expm1 (* (/ (* x 2.0) (- x y)) y)) (log1p (* (/ (* x 2.0) (- x y)) y)) (* (/ (* x 2.0) (- x y)) y) (+ (- (+ (log x) (log 2.0)) (log (- x y))) (log y)) (+ (- (log (* x 2.0)) (log (- x y))) (log y)) (+ (log (/ (* x 2.0) (- x y))) (log 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 2.0) (* x 2.0)) (* x 2.0)) (* (* (- x y) (- x y)) (- x y))) (* (* y y) y)) (* (* (* (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- x y))) (/ (* x 2.0) (- x y))) (* (* y 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)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (/ (* x 2.0) (- x y)) (* (cbrt y) (cbrt y))) (* (/ (* x 2.0) (- x y)) (sqrt y)) (* (/ (* x 2.0) (- x y)) 1) (* (cbrt (/ (* x 2.0) (- x y))) y) (* (sqrt (/ (* x 2.0) (- x y))) y) (* (/ 2.0 (cbrt (- x y))) y) (* (/ 2.0 (sqrt (- x y))) y) (* (/ 2.0 (- x y)) y) (* (/ 2.0 (- (sqrt x) (sqrt y))) y) (* (/ 2.0 (- x y)) y) (* (/ (* x 2.0) (- x y)) y) (* (/ 1 (- x y)) y) (* (+ (* x x) (+ (* y y) (* x y))) y) (* (+ x y) y) (* (* x 2.0) y) (expm1 (/ (* x 2.0) (- x y))) (log1p (/ (* x 2.0) (- x y))) (- (+ (log x) (log 2.0)) (log (- x y))) (- (log (* x 2.0)) (log (- x y))) (log (/ (* x 2.0) (- x y))) (exp (/ (* x 2.0) (- x y))) (/ (* (* (* x x) x) (* (* 2.0 2.0) 2.0)) (* (* (- x y) (- x y)) (- x y))) (/ (* (* (* x 2.0) (* x 2.0)) (* x 2.0)) (* (* (- x y) (- x y)) (- x y))) (* (cbrt (/ (* x 2.0) (- x y))) (cbrt (/ (* x 2.0) (- x y)))) (cbrt (/ (* x 2.0) (- x y))) (* (* (/ (* x 2.0) (- x y)) (/ (* x 2.0) (- x y))) (/ (* x 2.0) (- x y))) (sqrt (/ (* x 2.0) (- x y))) (sqrt (/ (* x 2.0) (- x y))) (- (* x 2.0)) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (cbrt (- x y))) (/ x (sqrt (- x y))) (/ 2.0 (sqrt (- x y))) (/ x 1) (/ 2.0 (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (- (sqrt x) (sqrt y))) (/ x 1) (/ 2.0 (- x y)) (/ 1 (- x y)) (/ (- x y) (* x 2.0)) (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ (* x 2.0) (sqrt (- x y))) (/ (* x 2.0) 1) (/ (* x 2.0) (+ (sqrt x) (sqrt y))) (/ (* x 2.0) 1) (/ (- x y) 2.0) (/ (* x 2.0) (- (pow x 3) (pow y 3))) (/ (* x 2.0) (- (* x x) (* y y))) 0 0 0 0 0 0 2.788 * * [simplify]: iteration 0 : 105 enodes (cost 717 ) 2.807 * * [simplify]: iteration 1 : 280 enodes (cost 685 ) 3.107 * * [simplify]: iteration 2 : 1243 enodes (cost 579 ) 3.570 * * [simplify]: iteration done : 5000 enodes (cost 579 ) 3.570 * [simplify]: Simplified to: (expm1 (* (/ (* x 2.0) (- x y)) y)) (log1p (* (/ (* x 2.0) (- x y)) y)) (* (/ (* 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) (* (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)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (sqrt (/ (* x 2.0) (- x y))) (sqrt y)) (* (/ (* x 2.0) (- x y)) (* (cbrt y) (cbrt y))) (* (/ (* x 2.0) (- x y)) (sqrt y)) (/ (* x 2.0) (- x y)) (* (cbrt (/ (* x 2.0) (- x y))) y) (* (sqrt (/ (* x 2.0) (- x y))) y) (* (/ 2.0 (cbrt (- x y))) y) (* (/ 2.0 (sqrt (- x y))) y) (* (/ 2.0 (- x y)) y) (* (/ 2.0 (- (sqrt x) (sqrt y))) y) (* (/ 2.0 (- x y)) y) (* (/ (* x 2.0) (- x y)) y) (/ y (- x y)) (* (fma x x (* (+ x y) y)) y) (* (+ x y) y) (* (* x 2.0) y) (expm1 (/ (* x 2.0) (- x y))) (log1p (/ (* x 2.0) (- x y))) (log (/ (* x 2.0) (- x y))) (log (/ (* x 2.0) (- x y))) (log (/ (* x 2.0) (- x y))) (exp (/ (* x 2.0) (- x y))) (pow (/ (* x 2.0) (- x y)) 3) (pow (/ (* x 2.0) (- x y)) 3) (* (cbrt (/ (* x 2.0) (- x y))) (cbrt (/ (* x 2.0) (- x y)))) (cbrt (/ (* x 2.0) (- x y))) (pow (/ (* x 2.0) (- x y)) 3) (sqrt (/ (* x 2.0) (- x y))) (sqrt (/ (* x 2.0) (- x y))) (- (* x 2.0)) (- (- x y)) (/ x (* (cbrt (- x y)) (cbrt (- x y)))) (/ 2.0 (cbrt (- x y))) (/ x (sqrt (- x y))) (/ 2.0 (sqrt (- x y))) x (/ 2.0 (- x y)) (/ x (+ (sqrt x) (sqrt y))) (/ 2.0 (- (sqrt x) (sqrt y))) x (/ 2.0 (- x y)) (/ 1 (- x y)) (/ (- x 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 y) 2.0) (/ (* x 2.0) (- (pow x 3) (pow y 3))) (/ (* x 2.0) (- (* x x) (* y y))) 0 0 0 0 0 0 3.571 * * * [progress]: adding candidates to table 3.682 * [progress]: [Phase 3 of 3] Extracting. 3.682 * * [regime]: Finding splitpoints for: (# # #) 3.683 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.683 * * * * [regimes]: Trying to branch on y from (# # #) 3.706 * * * * [regimes]: Trying to branch on x from (# # #) 3.729 * * * [regime]: Found split indices: #